diff --git "a/data/dm_maths/full_data_1/1928_11255.jsonl" "b/data/dm_maths/full_data_1/1928_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1928_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Simplify (3*(sqrt(65)*-1*6 + sqrt(65)))\/(sqrt(50)\/(sqrt(160)*4)).\nAnswer: -240*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13489000 rounded to the nearest 100000?\nAnswer: 13500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 4*m + 172. Calculate a(-45).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 12*q + 855 = 0. Suppose -3*l + 9 = 0, -5*y + 5*l + q = -y. What is the remainder when 32 is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/660 and 6\/5.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 369 + -109. Let a = x + 1106. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22786 divided by 205.\nAnswer: 22786\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 643*l - 35621 = 1742*l - 4849 for l.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fvf when three letters picked without replacement from {f: 2, v: 11, k: 2, o: 4}?\nAnswer: 11\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10549353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*t - 14 = -62 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2021 divided by -47?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4583*d = 1740*d + 1033*d - 1515*d - 461439 for d.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 648875 (base 10) to base 12.\nAnswer: 27360b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 417107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8110 - -8115. Put 284, 1, -1, m in ascending order.\nAnswer: -1, 1, m, 284","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.82 * 3\nAnswer: 17.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/70 and 13\/40?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**6 + 105694697*c**4 + 83217820*c**2.\nAnswer: 240*c**3 + 2536672728*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/1009 (b) 2 (c) 4 (d) -4.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 78465.773 + -78416. Let d = -49.2 + j. Let x = d + 0.007. Round x to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72167 rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -i**4\/24 - i**3\/9 + 31*i**2\/12 - 14*i\/3 + 114. Factor c(b).\nAnswer: -(b - 4)*(b - 1)*(b + 7)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 136523067?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from oqpqxp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1786.52709ns in days?\nAnswer: 0.000000000020677396875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*l - 4*l + 4*l)*(-1 - 3 - 3)*(1906*l - 1906*l - 16*l**2) in the form n*l**2 + v + f*l**3 + b*l and give f.\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 42*a - 2364 + 3498 = 16*a for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g**3 - 2*g. Let s(l) = 39*l**3 - 27*l. Give -27*n(u) + 2*s(u).\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-382)\/(-6)*(486\/6)\/(-1). Suppose 10994 = 6*t - 7*t. Let l = d - t. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 0*x = 12, -3*x = -4*j + 8. Suppose 32 - 12 = j*t. Suppose u - 6*u + g = -17, -2*u + t = g. Is u a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - ((-5 - 1) + 2). Suppose 0*l = l - 13. Suppose 8 = f*b, -2*b = p + 5 - l. Solve 4*z + 23 - 3 = p*g, 2*g = -3*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3472208807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1304 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0383, 0, 7, 26 in increasing order.\nAnswer: -0.0383, 0, 7, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-84)\/(-224) + (-13)\/24. What is the closest to 2\/3 in 0, w, 22?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -15 (b) -12 (c) -0.2 (d) -2\/9 (e) 0.2 (f) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, y: 1, z: 1, x: 2, s: 2, t: 1}. Give prob of picking 1 y, 1 x, and 1 z.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from zbryybxr?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a - 1c3c?\nAnswer: -1c32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -16*d - 1087. What is the remainder when 3482 is divided by c(-73)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - (-1 - -38))\/(290\/(-435)). Calculate the highest common divisor of z and 558.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.71284 to the nearest integer.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -0.0956 (b) -148 (c) 2\/7 (d) 163\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1985 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33791?\nAnswer: 33791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 15 + 1 + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4 = 4*n + l, -3*l = -2*n + 2. Is -2 - -5 - (-73 + n) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/45)\/(70\/175).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 649425?\nAnswer: 1\/129885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 52161?\nAnswer: -52161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23.8 - -23.9. Suppose 4*s = -4*z - 68, z = -4*z - 20. Which is the nearest to r? (a) s (b) -1 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**(-1)\/m)\/m)**(-22\/5) assuming m is positive.\nAnswer: m**(22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32*k**4*t**2 - 39661*k**4 + 11000227*k**2*t**2 wrt k?\nAnswer: -768*k*t**2 - 951864*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6770 and 1443364.\nAnswer: 1354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 979419 or -42?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-80))\/(-1)*4\/(-3)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((3 - 3) + -2)\/((-8)\/1544). Suppose 5*i + 5*n - 299 = x, -i = 5*n - 117. List the prime factors of i.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1465928707.\nAnswer: 1465928707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t + 1. Let c(u) = 4*u + 5. Let i(x) = -c(x) + 5*d(x). Suppose -190*b - 21 = -8381. Let o(k) = -2*k**2 + 11*k. Give b*i(s) - 4*o(s).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 2*m**2 + 2*m + 4. Let p = 4 - 7. Calculate the lowest common multiple of 2 and r(p).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -5*h - 34. Give g(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(4\/5)*s*s\/(s*s**(2\/5)*s)*s*s*s)\/(s**2*s**(-1\/6)\/s) assuming s is positive.\nAnswer: s**(77\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1563484971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k + 2*g - 13, -101*g + 97*g = -k - 29 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 243\/(-162)*1*(-4)\/6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/(-8)*420\/(-1125). Let a(g) be the second derivative of 16*g + 0 - 1\/30*g**4 - 49\/5*g**2 + z*g**3. Find q such that a(q) = 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 68\/231 - -104\/693. Sort w, -0.1, 3, -3 in increasing order.\nAnswer: -3, -0.1, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 99 * 165\nAnswer: 16335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**2 + 7*b**2 + 2*b**2)*(2 - 2 - 2)*(-b + 2*b + 2*b).\nAnswer: -72*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 11*b. Suppose 0 = -3*a - 4*t - 23, -4*a - t - 3*t - 28 = 0. Let n(f) = -17*f. Let q(x) = a*n(x) - 8*c(x). Let z(k) = 26*k**2. Give q(z(i)).\nAnswer: -78*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -0*j + 15. Find the first derivative of 5 + j*r**3 + 1 - 5 wrt r.\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(6 + 3\/3). Suppose -h = j - 2. Let g = 1 - j. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*t = t + 27, 2*n = -2*t + 2. Suppose 0 = 682*j - 687*j + 5*l + 5, -j = 4*l - 1. Put n, 3, 6, j in ascending order.\nAnswer: n, j, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 65301?\nAnswer: -65286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -37. Let n = -16.25 - z. Let i = n + -0.05. What is the closest to 0.1 in -4, i, -0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24344, -23843, -23342, -22841?\nAnswer: -22340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 9 - 5 = 0. Let a be (f + 0)\/(3 + (-1 - 1)). Find the third derivative of 6*p**4 - 6*p**4 - a*p**4 + 6*p**2 + 2*p**2 wrt p.\nAnswer: -48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and -1.31674?\nAnswer: 1.71674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1659\/56*(-8)\/30 - ((-51)\/15 - -4)\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 415\/39727?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 - -43?\nAnswer: 4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1175, 5061, 11547, 20639, 32343, 46665, 63611, 83187?\n\"Answer: f**3 + 1294*f**2 - 3*f - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2900738 by 1450369.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 399 and 114.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-84)\/210*(1 - 27\/(-6))\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 11315460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u = u + 720. Let w = u - 8. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -6*v. Let x be k(1). What is the units digit of (2\/(-6))\/(x\/36)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -36*z - 2015. Let w be r(-74). What is the greatest common factor of w and 1239?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2650*a**2 + 2074*a**2 - 1601*a**2 - 4229*a**2)*(0 + 3 - 1).\nAnswer: -12812*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -333577 (base 11) to base 8.\nAnswer: -2016456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8717 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-4 - (-3 + (-6 - -4)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -9*j**5\/5 - 8*j - 3. Find the first derivative of b(m) wrt m.\nAnswer: -36*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 188*n + 8595. Give j(92).\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 387 (base 9) to base 10\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4997488850?\nAnswer: 2, 5, 47, 233, 9127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*y + 7449 = -43*y - 132*y for y.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 9*s**3 + 28*s**2 - 2*s - 2. Let q(d) = -45*d**3 - 140*d**2 + 11*d + 11. Let v(c) = -2*q(c) - 11*y(c). What is the third derivative of v(o) wrt o?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 335*i**2. Let a(t) = -964*t**2 + 1921*t**2 - 955*t**2. What is h(a(b))?\nAnswer: 1340*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-11)\/(-2))\/((-2)\/4). Let f be (t\/(-22))\/((-2)\/(-20)). Which is the closest to -0.1? (a) f (b) -0.3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 + -3. What is the remainder when 60 is divided by ((-6)\/3 - 19)\/(-25 + p)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 131669, 131294, 130921, 130550, 130181, 129814, 129449?\nAnswer: 129086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -125, -131, -139, -149, -161, -175, -191?\nAnswer: -209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 850.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/78 + 17\/51?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2326959 is divided by 75.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) 0.1 (c) 5\/4 (d) -1\/6 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -5. Let k = 1.96 + 0.04. Let b = -1.7 + k. What is the nearest to 1\/3 in b, a, 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/10)\/((288\/81)\/(150\/(-45)))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -96046*k + 2785334. Calculate p(29).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 165 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(3\/4)\/i*i**(-3\/31) assuming i is positive.\nAnswer: i**(-43\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, a: 3}. Give prob of sequence av.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-14)\/((-420)\/(-50))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29485 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 168 divided by -42?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 164423*u - 5425961. Give a(33).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14146*b**2 + 56582*b**2 - 14149*b**2 - 14142*b**2 + 30*b**3 - 14145*b**2.\nAnswer: 30*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + (-1 - -2) - -1. Let a(h) = -4*h**2 + 5*h**2 + p*h - 4 + 0*h + 1. Let c be a(-5). Calculate the greatest common factor of c and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -4.1, -3713, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-102)\/(-8) - (-6)\/(-8). Suppose -6 = -5*l - f + 6, 0 = -3*l - 3*f + w. Let v be 2*l - (-198)\/(-63). Sort -0.2, -4, v.\nAnswer: -4, -0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1389824 is divided by 703.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 7 - 14)*(6*b**3 + 0*b**3 + 0*b**3) + 8*b**3 - 2*b**3 - 2*b**3 + 2*b**3 - 2 + 2.\nAnswer: -36*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 496?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 21*o**5\/8 + 42771*o**4\/8 - 830823*o**3\/8 + 3816129*o**2\/8 - 1914969*o\/4 + 100230 = 0?\nAnswer: -2056, 2\/7, 1, 5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11\/7 - (-162)\/378. Let s be -2 + 3 + 2*3. Put -1, f, s in descending order.\nAnswer: s, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -66*k**2. Let q(h) = 883*h**2. What is q(w(p))?\nAnswer: 3846348*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand r - r - r**2 + (2*r - 3*r + 2*r)*(0 - 2*r + 0) - 2*r**2 + 2 + r**2 + 3*r**2.\nAnswer: -r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*1*sqrt(140))\/(sqrt(108)\/sqrt(3)))\/(2*sqrt(60)\/(sqrt(1452)*2)).\nAnswer: 11*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2272, 2448, 2624, 2800, 2976, 3152?\nAnswer: 3328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4389 - 4326. Calculate the smallest common multiple of y and 675.\nAnswer: 4725","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11990 is divided by 90.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*t*w**2 + 284*t*w + t - 16120241*w**2 - 151*w - 283 wrt w?\nAnswer: -16*t - 32240482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 419538*b**2*w**2 - 7*b*w**2 + b - 726*w**2 wrt b?\nAnswer: 839076*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 take away 40190?\nAnswer: -40189.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*q + 103*q = -410 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 129 = 169. Is 13 a factor of 1 - (-14)\/i - 10755\/(-75)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 - 5*d. Let i be r(-4). Let c = 45 + -13. Suppose 2*m - 4*z - c = 0, -5*m + z + i*z = -65. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1e97 + -26c?\nAnswer: 1c2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4022163791.\nAnswer: 47, 85577953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-2 + (-88)\/(-32)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - m. Let b(u) = -u**3. Suppose -2*n + 9 = -5*n. Let s be 10\/(-15)*1*n. Give s*b(k) - p(k).\nAnswer: -3*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (33\/77 - 3)\/(45\/(-210))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 8. Suppose 2*n - 4 = -q. What is the greatest common divisor of 7 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 2. Calculate the common denominator of -113\/6 and (-1)\/j + (-119)\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6*24)\/4*(-66)\/4. Let a = -403 - i. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3122 - -4064. Is h a multiple of 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 10*c**2 - 10*c + 10. Let v be n(9). What is the third smallest value in -1, 5, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 1370030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247 is divided by 42.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-17644)\/3208)\/(23826\/24)\nAnswer: -2\/361","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20*(-12)\/(-45)*(-29)\/(-348).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6 + (-27)\/(-6))*18722\/69. Is d not equal to -398?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 10*q - 56*q - 16*q**2 - 8 + 26*q - 4*q**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 t when two letters picked without replacement from tqqqqtqqqt.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 0*s - 27 = 5*n, 5*n + 25 = 5*s. Let k = n + 9. What is the third derivative of 8*x**k - 2*x**4 - 4*x**4 + 2 - 2 wrt x?\nAnswer: -144*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 17*d**2 + 6*d - 217. What is x(-18)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 19, 24, 19, -2, -45?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 62013521 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6412 and -295815?\nAnswer: 289403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (68 - 74) + 8\/12 + 114\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15339 is divided by 56?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10685?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4520*s + 17 + 73 = 4511*s for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 3*i - 4, 4*f - i = 2*i + 14 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 75?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*f - 5*l + 2581 = 0, -4*f - 5*l = -5147. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (7 + -3 + 1)) + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 divided by 129528?\nAnswer: -13\/64764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-68)*-302 + 53\/2703*-6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c + 2. Let z(w) = -w - 1. Let l(h) = -6*m(h) - 10*z(h). Calculate the smallest common multiple of l(4) and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 444 + -7?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 109905*l - 168615.\nAnswer: 109905","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 76462807*s - 108967802.\nAnswer: 76462807","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 79*q + 928. What is x(-90)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-186813)\/(-204))\/(-407) + 462\/200?\nAnswer: 3\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -12212202 (base 3) to base 6\nAnswer: -31502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 348.\nAnswer: 7\/348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 8*u**2 - 11*u + 52. Suppose 26*v - 23*v - 36 = 0. List the prime factors of y(v).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (s - s + s)*(-1 + 3 + 10) in the form b*s + m and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.024 - 1.926. Let b = v - 0.05. Let u = b + 2. Is 2 >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.05 or 0.188?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -2089, -29, -0.4, 3\/5?\nAnswer: -2089","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -96896, -387599, -872128, -1550501, -2422736, -3488851, -4748864, -6202793?\n\"Answer: -3*h**3 - 96895*h**2 + 3*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1)**(-11)*(q*q*q\/((q**(4\/3)*q)\/q))\/q**(-1\/4)*((q\/(q\/q**(-1)))**(-1))**(-25) assuming q is positive.\nAnswer: q**(-409\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 7\/2, -2\/3, -3.\nAnswer: -3, -2\/3, 2\/7, 7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 118*b**2 - 33*b**2 + 31*b**2 + b**2 - b + b - 4*b**2 + b**2 + b**2 + (-2*b - 3*b + 3*b)*(4*b - 2*b + 0*b).\nAnswer: 111*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t - 29. Let o be n(-11). Solve 2*r - o*y = 4, 1 = -3*r - 5*y - 26 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*z**3 + 3549*z**2 - 5*z - 39.\nAnswer: -12*z + 7098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = 2*x + 2*x. Let c be (x - -18) + 7*-13. Let g = c - -156. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2082 and 96.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 33*g + 5 - 3 + 1.\nAnswer: 33*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wfwfwfbwwffffffwfbwf. What is prob of picking 2 f and 2 w?\nAnswer: 77\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/63 and -13 + 252\/21 - (-1042)\/1001.\nAnswer: 9009","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*g**5 + 26*g**4 - g**3 + 46971*g?\nAnswer: -280*g**3 + 312*g**2 - 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -320*r*u**2 - 463*r*u + 19*u**2 + 3*u + 2 wrt u?\nAnswer: -640*r + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001 (base 6) in base 14?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 5:13 PM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 280943*-0.3\nAnswer: -84282.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2522360 + 37?\nAnswer: 2522417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 425. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 + 1274\/(-65) - -7)*1\/12?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 13. Let s be o\/(-21) + (-64)\/(-28). Solve 4*a + 2 = s*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -13916, -6, -4\/9?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -f**5\/60 + 11*f**4\/12 - f**3\/3 - 2*f**2 + 10*f. Determine g(22).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 8:52 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 6:24 AM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 5 - (-1 - (-10 - 2))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 972*t + 3065*t - 117564 + 654204 = -1123*t for t.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -18 - (-49 - (-43 - 12))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.98 - 6. What is the third smallest value in v, -3\/2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 31*r**2 - 56*r - 40. Calculate q(29).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pss when three letters picked without replacement from bsxsssssvpxsxvxs?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*y + 359 = -537 - 820. Suppose -5*k - 5 + 19 = 3*w, 5*k = w + 2. Find the second derivative of 298*m - 295*m + w*m**3 + y*m**3 wrt m.\nAnswer: 174*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2005 (base 10) to base 14\nAnswer: a33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 363507513?\nAnswer: 3, 121169171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -0*o + 5. Let c be (o + 2 + -2)*-1. Let r(s) = -s. Let t be r(c). What is t rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11\/2 in 4\/7, 3\/2, 0.029, -5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7}. Give prob of picking 2 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -v**5\/20 - v**4\/4 - v**3\/6 + v**2 - v - 1233. What is p(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*x**3 - 42*x + 4*x**3 - 3 - 161*x.\nAnswer: -22*x**3 - 203*x - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 5836.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 13*u - 7. Let q(o) = -187*o + 7. Let h be q(1). Let a be ((-2)\/(-5))\/(((-114)\/h)\/19). Give v(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3093 - -3096. Suppose -2*t = 4*x - t - 3, -4*t - 4 = 0. Let j(g) = 4*g**2 + g. Let o be j(x). Solve o*h + 1 = -d, 8*h = 3*h + 3*d + q for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/13 - 48*v\/13.\nAnswer: -2*v*(v + 24)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 66132 a multiple of 167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 6*r**2 - 10*r + 9. Let v be y(7). Let g = v + 8. Let s = 2 + -4. Sort 4, g, s in descending order.\nAnswer: 4, s, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 0 - 1 + 0*s - 4*s + 5*s. What is the remainder when 16 is divided by p(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23332371 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.51 take away -0.3?\nAnswer: 17.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 6*s**3 - s**2 + 6*s + 1135. Let a(x) = -22*x**3 + 4*x**2 - 22*x - 4542. Give -4*a(r) - 15*y(r).\nAnswer: -2*r**3 - r**2 - 2*r + 1143","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2*v + 0)*(-3 + 3 - 2*v) + v**2 + v**2 - 4*v**2 + 17*v**2 - 147 + 147 + (2 + 0 - 1)*(-v**2 + 2 - 2) to the form r*v**2 + h + j*v and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-9)\/2 + 8)\/(-4 - 462\/(-116)). Is w greater than -205?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j**3 - 16*j**4 - 4*j**5 - 4*j - 16*j**2 - 16*j**3 - 4*j**3 + 6*j**3 = 0 for j.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 40, 0.\nAnswer: 0, 1, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*i + 26 + 13 = 0, 4*i - 39 = -3*b. Let w = -3653 + 3678. What is the remainder when w is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 18*q - 35 - 36 + 50. Suppose 85 = 5*x - 4*f - f, -2*f - 16 = -x. What is the remainder when l(4) is divided by x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**2 + 20*c - 58. Give b(11).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 5*d + 14 = 2, -4*d + 12 = 4*t. Solve 16*a = -t*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/16 and -119\/2728280.\nAnswer: 5456560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/8)\/((14\/(-84))\/((-21)\/9))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, 1\/2, 55, -5 in descending order.\nAnswer: 55, 1\/2, 0.05, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 872983399?\nAnswer: 872983399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 130826327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 13855 divided by -86002\nAnswer: -13855\/86002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1555 divided by 11126\nAnswer: -1555\/11126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 406004161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 36562661 to the power of 1\/3, to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -s**7\/168 - 7*s**5\/60 - 3*s**4\/4 + 39*s**2. Let j(w) be the second derivative of x(w). Differentiate j(r) with respect to r.\nAnswer: -30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b = -21*b + 1675904. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1*p\/p**(-6)*p*p*p)**12 assuming p is positive.\nAnswer: p**132","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -5*j**2 + 77*j - 24. Determine p(17).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u + 1. Let h(a) = 18*a**2 - 9*a + 9. Calculate -2*h(z) + 18*x(z).\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*b + 23 = 0, i - b = 2*i - 9. Suppose -i*y + 48 + 127 = 0. Let q = -17 + y. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4597 + 4596.6. Let g = -0.11 + 17.11. What is the nearest to 0.1 in 3, g, n, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 48, 92, 148, 216, 296, 388, 492?\n\"Answer: 6*b**2 + 26*b + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -15\/2, -7, 1\/9, -5, 4?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 109067300 to the nearest 1000000.\nAnswer: 109000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*d - 996 = -24 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 11 = 123. Let v = -65 - c. What is the third biggest value in v, 0.08, -2, 0.5?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4322 + -300314?\nAnswer: -240442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vhlrx. What is prob of picking 1 h, 1 l, and 1 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68864 and 269.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 660193\/6730 + -981\/10. Let x = p + 2718\/8749. Which is the nearest to x? (a) -5 (b) -1 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 1763, -2 in descending order.\nAnswer: 1763, 7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3 = 2*m, 2*v + 9 = -v + 4*m. Let r be v\/3*(2 - 7). Let w(z) = -r*z**2 + z**2 + 2*z**2. Let a(t) = -t. Give w(a(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 15261486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/160 and 133\/780.\nAnswer: 6240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -3, -2, -4, 0.4 in increasing order.\nAnswer: -4, -3, -2, 0.4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1281334 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 62, 1\/3, 2, 1, 2530?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + 0 + (2 - -16))\/2. Suppose 4*m + 4*v = -a, -4*v - 21 = m - 7. Let y(t) = t**2 + 4*t - 3. What is y(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z. Let u(m) = -10*m**2 - 3*m. Let i(h) = 4*q(h) - u(h). Factor i(v).\nAnswer: v*(10*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34.83 + 35. Round h to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28051?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2 + 0 - q**2 - 1678*q + 839*q + 840*q. Let b(t) = -2*t**2 + 3*t - 5. Determine -2*b(r) + 5*l(r).\nAnswer: -r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f - 1. Let v be c(3). Let a be (4\/v)\/((-4)\/30). Suppose 0 = 2*z + 6 + 6. Is z at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -306\/11 + 1821\/88. What is the common denominator of (2107\/(-129))\/(4\/6) and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uupuuzuyusdsuyu. What is prob of sequence dys?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(3*sqrt(8)) + 2.\nAnswer: sqrt(5)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 1216 (c) -4 (d) 9 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*s - 10*s = 28*s - 354 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*b + 228*b - 75*b + 160*b + 98*b in the form a + f*b and give f.\nAnswer: 389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 4*h**2 + h - 1. Calculate j(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 14942 - 14917 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*h = -21 + 148. Suppose -4*u + 5*t = 2*t - 119, -175 = -5*u - 5*t. Let a be ((-1)\/2)\/(14\/u). What is the third smallest value in -1\/2, h, -2\/3, a?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (59 - 37 + 25)*(2*a - 2 + 2 + (0 + 2 - 4)*(a - 2*a + 4*a)) to i + b*a and give b.\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -m. Let u = 6437 - 12873\/2. Let m*v + 1\/8*v**2 - u = 0. Calculate v.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 1:13 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.34 and -1.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(27\/(-21)) + -1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/21 (b) 0.2 (c) -0.1 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cxtjjdhjcchxdjdtjth. What is prob of sequence dxdd?\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 1773*j + 746480. Give u(1085).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2194*-5.\nAnswer: 10970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8, -2\/47047, 1\/4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -204 - t**2 - 243 + 447. Let o(i) = -5582*i. What is o(d(k))?\nAnswer: 5582*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d - 2*d**2 + 2*d + (0*d + 4*d + d)*(-4*d + d + d).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -n**4\/8 - n**3\/2 + 17*n**2 + 9. Let g(c) be the second derivative of k(c). What is g(3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -67 + 75. List the prime factors of ((w\/(-1))\/4)\/((-4)\/106).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2373578804067 - 6?\nAnswer: 2373578804061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 121.3 - 84.4. Let x = -36.91162 + q. What is x rounded to three decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-160 + 163 + 2*n - 3*n)*(-2*n - 2 - 2 + 3) in the form b*n**2 + v*n + t and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 w when three letters picked without replacement from wrrwvwwrrwrrvwwrrwr.\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + 40. Suppose -62*k + 1265 = -u*k. List the prime factors of k.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**5*n**2 - l**2*n**2 + 2657*l**2*n + 18*l*n**2 - 66*l*n - n wrt l?\nAnswer: 40*l**3*n**2 - 2*n**2 + 5314*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - -7) + 0 + 2. Let l(v) = -55*v + 1. Let t = -8 - -7. Let y be l(t). Calculate the highest common factor of y and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-3*(2*sqrt(1700) + sqrt(1700)) + -4*(-1 + sqrt(1700)) - ((sqrt(1700) - (sqrt(1700)*-2 + 3 - sqrt(1700)) - sqrt(1700)) + -1)) + 5)**2.\nAnswer: -4160*sqrt(17) + 435374","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -639 - -855. What is the greatest common divisor of z and 180?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*(-2)\/30)\/((-834)\/(-6255)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29620 = 2*f - f. Let b(z) = -f*z**2 + 0*z - 52256*z**2 + 4*z. Let g be b(4). Round g to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 76.1 - -24.9. Which is the biggest value? (a) -5 (b) -0.2 (c) 2 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - -19 - (196\/84)\/(9\/48).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111110000100010110 - 10?\nAnswer: 111110000100010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -498701 >= -498696?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2 + ((-2*sqrt(133))\/sqrt(7)*4)**2 - (sqrt(931) + -4 + sqrt(931) + -1 + sqrt(931) + sqrt(931)*1 + 4)**2) + 2.\nAnswer: -13677 + 56*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56160 divided by -2160.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w + 20*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 2:14 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 42*r**2 + 40*r + 31. Let q be p(41). Let b be (-16)\/(-12)*15\/q. Sort b, 19, 2, 4.\nAnswer: b, 2, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, 25, 91?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14*45\/8190 - (-24)\/26?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107801 is divided by 81?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -0.11 (c) -4689 (d) 4 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(612) + -1)*6)**2.\nAnswer: 432*sqrt(17) + 22068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**3 - 168*m**2 + 582*m - 7320. Determine f(81).\nAnswer: 456","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -20*n**2 + 41*n + 25. Let k(p) = -5*p**2 + 10*p + 6. Let b(t) = 4*h(t) - 18*k(t). Factor b(u).\nAnswer: 2*(u - 2)*(5*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 475*n = 471*n + 18, 4*n = 20 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11398353781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 1648?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fuffffffffuff. What is prob of picking 3 f and 1 u?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7591.\nAnswer: 7591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 8*w. Let a(q) = -1317*q**2 - 3*q - 1. Determine a(f(v)).\nAnswer: -84288*v**2 - 24*v - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -34, 0.2 in increasing order.\nAnswer: -34, 0.2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 13789 divided by 871\nAnswer: 13789\/871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 11:57 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -4)\/(13\/(-65))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1745 + 39?\nAnswer: 1782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 33\/5 of a second?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w - 3*w + 3*w)*(0 - 3 + 0)*(-2 + 0 + 0 + (3 - 7 + 2)*(-3 + 2 + 0) + 3 - 1 - 4 + 0 + 4 + 1) in the form y + d*w and give d.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 196\/20 + (-1)\/(-5). Suppose 4*t - u + 5*u = 12, x = -5*u. Let y be (-2)\/5 - (-77)\/t. Calculate the greatest common divisor of y and 90.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d + 3 + 6*d + 9*d - 2*d - 1.\nAnswer: 16*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4925\/1032 - 19\/129. Let o = -1246403351079\/141989518 + -6\/6454069. Let p = -8776 - o. What is the common denominator of p and l?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -5*o**3 - 6*o**2 + 10*o + 11. Let v(q) = -4*q**3 - 6*q**2 + 9*q + 10. Let h(n) = 5*p(n) - 6*v(n). List the prime factors of h(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61331 - -109884. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -371, -735, -1097, -1457?\nAnswer: -1815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22 or 10?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n - 44 + 32 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-20)\/100)\/((-3)\/(-5)). Sort p, 0.5, -4.\nAnswer: -4, p, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 4 + -5 + (9 - 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*q = -49*q + 14*s + 66, 5*q + 10 = -s for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2*d = -2*d - 16, -4 = -q - 4*d. Suppose -q*r + 5*g + 543 = -817, 0 = -5*r - g + 1671. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 6:11 AM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(1\/((-188)\/(-8))). Suppose -j*f = -10682 - 3747. Is 7 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 9*s**3 + 156*s**2 + 418*s + 6234. Give j(-17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 347381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/9 + 73860\/108. What is the greatest common factor of c and 108?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 175725 and 50055.\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 7. Suppose -13 = 2*z + 7. Let c be (2 - z\/(-2)) + 3. Solve -4*b - 2*u = c, -6*b - 9 = -b - x*u for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20960725?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 - 0. Let i = p - -0.2. Let g = -2 + 3. Which is smaller: i or g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30146180, -30146179, -30146178?\nAnswer: -30146177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -s**6\/120 + s**5\/15 - s**4\/8 + s**3\/3 - 3*s**2. Let d be r(2). Differentiate 2*q + d + q - 5*q with respect to q.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 302.48 + -305. Let u = 4.52 + t. Which is the closest to u? (a) 2\/3 (b) 1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-396)\/18)\/22)\/(-1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 287 = 3*u, -5*l = -0*u + 5*u - 365. Suppose 5*o = 0, -4*o + 3*o = -5*i + 70. What is the remainder when l is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7033 - 7017. Calculate the greatest common factor of n and 180.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3*(4 + 2 + (-2 + sqrt(75)*1 + sqrt(75) - (-2*sqrt(75)*-4 - sqrt(75))))*6)**2.\nAnswer: -324000*sqrt(3) + 3063420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m - 4*m + 5*m + 2*m**2. Let d(l) = -7*l**2 - 6. Let j(i) = 13*i**2 + 11. Let q(h) = 11*d(h) + 6*j(h). Calculate q(f(w)).\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 16848\/(-240) + 70 + ((-45)\/(-125))\/3\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o**5 + 11*o**4 - 36*o**3 - 2785*o wrt o?\nAnswer: 20*o**3 + 132*o**2 - 216*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.8 and -0.39.\nAnswer: 0.702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, z: 4, j: 5, t: 4}. Give prob of sequence jtj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 1\/8 (c) -2\/3 (d) -2\/35 (e) -53510 (f) 3\/2 (g) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j**3 + 264*j**2 - 6*j - 395. Let b be h(-66). Let a(m) = -2*m + 6. Let s be a(4). Sort s, b, 10, -3 in descending order.\nAnswer: 10, b, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 22 - 232. Calculate the highest common divisor of 6 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 5*v**5 + 4515*v**4 + 53715*v**3 + 227665*v**2 + 410160*v + 267300 = 0.\nAnswer: -891, -5, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/7 and -13\/935?\nAnswer: 6545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5 + -1 - (-12324)\/52. Suppose 2*m - n = -3*h, -4*m + 609 = -h + 182. Is m a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 1909 + 1455 = 3*k, -d + 2 = 0. What are the prime factors of k?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24048316.\nAnswer: 2, 2437, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142540 is divided by 28498.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from duzdk. Give prob of picking 1 d, 1 u, 1 k, and 1 z.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*h = 24, 2*h + 3 - 4 = -p. Let y be 104\/13*p\/(-12). Is y greater than or equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-4 + 3\/1). Suppose -4*l = -2*l. Suppose g*h = -2 - 1, l = 3*o - 4*h - 112. Does 18 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -434, -5, 554, -1, 2 in ascending order.\nAnswer: -434, -5, -1, 0, 2, 554","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 u when three letters picked without replacement from ouuus.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -22, -15, -4, 11, 30, 53, 80?\n\"Answer: 2*g**2 + g - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -c**3\/6 - c**2\/2 - 3*c - 19. Let o(n) = 1. Calculate 5*o(z) + 4*t(z).\nAnswer: -4*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 12:58 PM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 5*i**2 - 27*i + 2. Let q be s(5). Let n be ((-27)\/30)\/(-3)*q\/6. Let f = 9 + -5. Which is the second smallest value? (a) n (b) f (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*j + 42*j + 32 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -1087928 and -1087928 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2938 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 725.0451 centuries?\nAnswer: 870054.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 683? (a) 0.02 (b) -4 (c) -0.3 (d) 7 (e) -2 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/9 + 2574086*x\/9 - 12870580\/3.\nAnswer: 2*(x - 15)*(x + 1287058)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + (12 - (25 + 20))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jaja when four letters picked without replacement from jajajjjjajaja?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 681, 725, 805, 927, 1097, 1321, 1605?\nAnswer: 1955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 584273147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 + -33. Let k(l) = 302*l + 486. What is the smallest common multiple of t and k(-1)?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 - -24. Suppose -289*s = -294*s + 5. Which is the nearest to s? (a) -0.1 (b) i (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -4, -3, -19, -1, -2, -8987.8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 262905344 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3071 - 1292. What is the remainder when m is divided by 137?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -216552 - -5?\nAnswer: -216545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(-2*sqrt(80)) - (sqrt(14) - 2*sqrt(70)\/sqrt(5))\/sqrt(7))*-3.\nAnswer: -21*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -6*a**3 - 5*a. Let f(g) = 3*g**3 + 2*g. Give 6*b(j) + 15*f(j).\nAnswer: 9*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(5\/(-15) + (-68)\/(-6)). Let t(c) = -c**3 - 12*c**2 - 14*c + 7. Let u be t(f). Let b be (1\/(-1))\/((-2)\/(u\/5)). Sort 5, 2, 3, b.\nAnswer: 2, 3, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.06 times 61.8?\nAnswer: 1548.708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1482\/25 (b) -0.1 (c) -5 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-18 - -4) - 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j + 20, 3*v - 9*j + 10*j - 10 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -143002 (base 5) to base 2\nAnswer: -1011101110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 333230 + -4331988\/13. Determine m so that -16\/13*m**3 + 10\/13 - 32\/13*m + o*m**4 + 36\/13*m**2 = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -5*x + 23, 4*z - 10 = 2*z - x. What is the least common multiple of 9 and ((-6)\/(-5))\/(z\/20)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 511 divided by 26.\nAnswer: 511\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*o + 3378677*o**3 - 10*o - 3378678*o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 5, -4*p = -5*p - 2*s + 10. Suppose -3*t + 15 + 3 = p. What is the smallest common multiple of 2 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 109 + -111. Let x(k) = -k**2 + 6*k - 3. Let v be x(5). Let b be (-3)\/v + 1\/1. What is the nearest to b in t, 0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2124 (base 5) to base 2\nAnswer: 100100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c**2 + c + 3. Suppose 5*v + 15 = g + 17, -v = 4*g - 13. Let o(f) = 2*f**2 - 1172 + 1171 - g*f**2 + f. What is o(a) - u(a)?\nAnswer: 2*a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -5*b**2 - b - 10. Calculate c(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 15323, 15319, 15313, 15305?\n\"Answer: -l**2 - l + 15325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -72 - -72. Sort 1\/2, 0.1, -3, v in descending order.\nAnswer: 1\/2, 0.1, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 25*g**2 + 45*g + 30. What is q(26)?\nAnswer: 524","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9\/6)\/((-2)\/(-4)). Let k(t) = t + 2. Let h be k(z). Suppose 90 = h*v - 2*v. Is v a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/(-21) + 369\/(-21). Let f = 22 + k. Suppose 5*z = 4*x + 172 - 732, f*x - 600 = -5*z. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -2) + (3 - 4). Suppose q = 5*b + 9 - 49. Calculate the remainder when 14 is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12561, -25044, -37515, -49968, -62397, -74796, -87159, -99480?\nAnswer: -111753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 796 + -784. Calculate the remainder when 100 is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1036980 and 570.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**3 + 4*l**2 + 6*l**2 + l**2 - 12 - 4*l**2 - 2*l**4 - l**2 to the form v*l + y*l**3 + u*l**2 + f*l**4 + n and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in six fifths of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20820493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/1547784 and 11\/292824.\nAnswer: 10834488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 168 = 13. Is g a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of k**9\/98280 - k**7\/8190 + k**5\/780 - 2*k**4\/3 + 21*k**2. Let f(w) be the second derivative of i(w). Factor f(h).\nAnswer: 2*(h - 1)**2*(h + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/6 and 115\/216?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 8. Let r = l + -1. Let j be (-10)\/(-2) - 0\/r. Solve 0 = -6*n + 4*n + j*b - 5, -4*b + 12 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 442?\nAnswer: -435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 366 - -13?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 340777191?\nAnswer: 3, 113592397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/287 (b) 59 (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 5*i**3 - 5*i**2 - 110*i + 200 = 0.\nAnswer: -5, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9471 - -9475. Let c = 11 - 16. Suppose 75 = 2*u - 13. What is the third biggest value in c, u, r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4)*w)\/((w\/(w*w**(-1)))\/w)*(w\/((w*w**5)\/w))\/(w\/(w**(2\/3)\/w*w))*(((w\/(w\/(w*w**(-1\/4))))\/w)**(9\/4))**13 assuming w is positive.\nAnswer: w**(-703\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1300 and 44360825?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**2 - 2*d**3 + d**3 + 10*d**3 - 2*d**3 wrt d?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 10. Let v = 5 - a. Let j = v - -8. Solve 0 = -j*r + 2*m, 7*r = 2*r + 5*m for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5*(0 + -4 + 3). Let r be (-2)\/f + (-72)\/(-30). Suppose -3*w - 2*b + 23 = 2*w, 18 = r*w + 3*b. Solve -4*a - w*m + m + 4 = 0, 2*a - 6 = -2*m for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7182.91 + 7233. What is g rounded to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 3142*r + 1407. What is the tens digit of k(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -134*b + b**2 + 0*b**2 + 132*b - 15 in the form z*b**2 + r*b + x and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.36 + 5682615293\nAnswer: 5682615293.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 194381*a. Let r(q) = 3*q**2. What is r(t(u))?\nAnswer: 113351919483*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-140)\/(-42)*1335\/(-178).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -164 + 496\/3. Let s = 464 - 1388\/3. Factor s + 8\/3*y + i*y**2.\nAnswer: 4*(y + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-3)*(-4)\/(-16).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = -4*a + 80. Suppose -7 = 3*q - w - a, 3*q = -2*w - 2. Solve q = -0*o - 5*o + 20 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of 27*i**9\/224 + 81*i**8\/560 + 9*i**7\/140 + i**6\/90 - i**3 + 4*i. Let u(n) be the second derivative of t(n). Factor u(z).\nAnswer: z**2*(9*z + 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.01 + -0.39. Let r be ((-18)\/24)\/((-9)\/60). Let g be r\/(-25) + (-6)\/(-10). Sort -4, -1\/5, h, g in decreasing order.\nAnswer: g, -1\/5, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/d**24))**13\/((d**(-6)\/d)\/(d**(-2\/9)\/d)))**(2\/83) assuming d is positive.\nAnswer: d**(5720\/747)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-28)*62 + (16 - 12)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 55\/58 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v**3 - v - 1 + v**3 - 2. Suppose 22*i + 1229 = 129. Let j be 10\/(-8 - i\/5). Let b(s) = s**3 + 1. What is j*b(o) + 2*w(o)?\nAnswer: o**3 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 6:34 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8162434811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-1*sqrt(80))\/(-2*sqrt(18)))\/(sqrt(72)*1*6 + sqrt(72) + (sqrt(72) + sqrt(72)*-2*-4 - sqrt(72))).\nAnswer: sqrt(5)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -424 - -1.09091.\nAnswer: -422.90909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -1. Suppose 142 = 2*h + o, 108 + 160 = m*h - 2*o. Does 15 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7\/2 + -2. What is the third smallest value in 0, t, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0033 + -0.0967. Let w = 1.08 - 0.9. Let l = w - -7.82. Which is the third smallest value? (a) l (b) -3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -357*g + 258*g + 2376 = 0. Suppose 5*h - 600 = 4*r, -2*r - r + 565 = 5*h. Calculate the remainder when h is divided by g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.022 - 58.122. Let l = 56 - 119. Let s = d - l. What is s rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - -22 - (48 + 4).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g + g**3 + 0 + 1 - 9*g**2 + 9*g. Let l be i(8). What is the third biggest value in 2, l, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 311.\nAnswer: -5\/311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - sqrt(375)\/sqrt(3))**2*-4.\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3\/2, -0.2, 2, -1664, 0.2.\nAnswer: -1664, -3\/2, -1, -0.2, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 19*l**2 + 2*l. Let a(h) = 4*h**3 + 95*h**2 - 7*h - 2. Let p(t) = -a(t) - 5*g(t). Factor p(s).\nAnswer: (s - 1)**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - v - 10 = 0, 766*d + 0*v + 2*v + 19 = 763*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6, -63, -250, -615, -1218, -2119, -3378, -5055?\n\"Answer: -10*p**3 + p**2 - 2*p + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 204 - -1433480.\nAnswer: 1433684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -4*o**2 - 2. Let c(d) be the third derivative of -d**5\/20 - d**3\/6 + 42*d**2. Give -3*c(x) + 2*s(x).\nAnswer: x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/15708 and -5\/132?\nAnswer: 15708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 289 + 314. List the prime factors of h.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/8 and -17\/1090.\nAnswer: 4360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 561847820 to the power of 1\/4, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -224*n - 222 + 446 - 223 - 20*n + 0*n to the form o + z*n and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r + 9. Let j be s(-7). Suppose j*p + 4 = 0, 0*p + 10 = 2*k - 2*p. Suppose k*x = 2*u + 47, 2*x = u + 4*u + 24. List the prime factors of x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 k when two letters picked without replacement from {u: 1, w: 11, i: 1, h: 4, f: 1, k: 1}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 6*z + 3*z + 2, 0 = 4*z + 8. Let v be (n\/56)\/(2\/(-8)). Which is smaller: v or -0.09?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i + 0*i + i - 7*i + 6*i - 5*i + (-5 + 5 - 1)*(-i + i + 2*i).\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -16 + -4 + -22?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9\/12)\/(1\/(-20)). Let f = p - -27. Solve x - f = 4*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 20, 4*x - 28 = -3*s + 7*s. Let o(t) = 5*t + 272*t**2 - 6 + 49*t**2 - 13 - 6. Is o(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 8*a + 8. Let w be d(-5). Let x = -4 - w. Suppose -2*i - 16 + 24 = 0. Sort i, x, -10, -5.\nAnswer: -10, -5, x, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65134 is divided by 236?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a, 1 d, and 1 w when four letters picked without replacement from waaaaadwdaaaaaw?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2095 is divided by 262.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -51.9 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30.6749 - -0.0251. Let s = -30.3 + q. Sort 5, s, 3\/31.\nAnswer: 3\/31, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a decade in years?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -2\/9, 63, -2\/11, -14, -1 in descending order.\nAnswer: 63, -2\/11, -2\/9, -1, -14, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-4))\/((-1)\/4). Suppose -r*g + 4*g = 18. Let i be ((-3360)\/g)\/((-2)\/15). What is i rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*w**2 + 24235*w - 16150.\nAnswer: -5*(w - 1615)*(3*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -5*g + 30, 5*h - 19*g + 5 = -23*g. Let p(m) be the second derivative of m**4\/6 + 4*m**3\/3 + 5*m**2\/2 - m. Determine p(h).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -35*g + 31. Let c(l) = 72*l - 61. Let u(k) = 3*c(k) + 5*v(k). Differentiate u(s) with respect to s.\nAnswer: 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -557 - -7?\nAnswer: -550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*i = -2*y + 40, 5*y + 5*i = 0. Suppose -2*u + 0*u = d - 17, -71 = -4*d - y*u. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/3 + 77\/21. Suppose -v*o = -143 - 13. Calculate the highest common factor of 13 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 97128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by -74.\nAnswer: -11\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - 4*q - 3. Let z be l(-2). Let g = 14 - z. Let p = -119 + 130. Solve -g*b = -9 - p for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 11ba?\nAnswer: 1203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9175946.33489 + 37.66511. Let r = q - 9176014.999938. Let m = -31 - r. Round m to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*v - 33*v = -116. Suppose -j = -5*j + 32. Let a = j + v. Does 26 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -114, 16, -0.4, -0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -30*s - 9. What is the hundreds digit of b(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -651 (b) -1 (c) -32.76 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*a = -29*a - 2*c - 13, 4*c + 32 = 4*a. Let h(f) = -6 + 7 + a + 11 + 4*f. Let x(p) = -2*p. Calculate x(h(u)).\nAnswer: -8*u - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 4 + 4)*(g**4 + 6*g**4 - 5*g**4) - 4*g**5 + 4*g**5 + g**5 - 2*g**4 + 5*g**5 - 2*g + 2*g.\nAnswer: 4*g**5 - 2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-707)\/(-4)*(-20280)\/(-35490)?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4\/5 - 53*i**3\/5 + 59*i**2\/5 + 273*i\/5 + 162\/5.\nAnswer: -(i - 3)*(i + 1)**2*(i + 54)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23220032 + -1?\nAnswer: -23220033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/9)\/(20\/90)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 85.90545nm?\nAnswer: 0.00000000008590545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 47580507?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, t: 1, e: 5}. What is prob of picking 3 e?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -354931*v**2. Let g(q) = -2*q. What is y(g(z))?\nAnswer: -1419724*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 + 4. Let l = n - -32. Solve 0*k = -l*k - 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (420\/(-84))\/((-10)\/(-12)*(-6)\/4). Solve 7*o - 9*o + 3*b = 0, 0 = -3*o - l*b for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87414.\nAnswer: 2, 3, 17, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -25*j - 19. Let w be q(-5). What is the common denominator of -1 + 1\/(12\/147) and 3 - 4 - w\/(-12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4048.\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 w when three letters picked without replacement from zwyyzwwzzyyzzzpypmz?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -5*b - 0*b + 11, 2*b + k - 2 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5*q - 2, -5*q + 82 = -4*u + 14. Let m = u - -34. What is the tens digit of 117\/m - 2\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1031 is divided by 94?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -0*j - 3*j - 5*d, -4 = 2*j - 3*d. Suppose -18 = 6*g - 9*g. Suppose g*l - 8 = 2*l. Sort 4, j, l in descending order.\nAnswer: 4, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**5\/7 + 39*h**4\/7 + 141*h**3 - 213*h**2 - 16320*h\/7 - 19500\/7 = 0. Calculate h.\nAnswer: -13, -2, 5, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m - 28 + 8 + 0*m + 8 - 1.\nAnswer: -m - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = a + 9*g - 13*g, g = -5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -369*m**2 - 77. Let u(h) = 42*h. Give u(c(k)).\nAnswer: -15498*k**2 - 3234","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/26 in 0.4, -1\/2, 3\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.103, 2, -4101 in decreasing order.\nAnswer: 2, -0.103, -4101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2653 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-459 - -443) + -1 + 47\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98 and 338051.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -297 + 312 - ((4 - (-134 - (-5 + 6))) + -4)?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16892 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/9 + 74755846*k\/9 - 1397109127793929\/9.\nAnswer: -(k - 37377923)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4 - 4*k**3 + 3*k**2 + 10*k - 8.\nAnswer: -(k - 1)**2*(k + 2)*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 41689 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, 0, -232, 129, -5 in descending order.\nAnswer: 129, 31, 0, -5, -232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1189.\nAnswer: 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + y. Let o(u) = -4*u**2 + 5*u - 4. Let a(i) = i**2 + 2*i - 9. Let d be a(-4). Let s(b) = d*o(b) + 5*f(b). Differentiate s(n) wrt n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -6823*b - 2832*b + 1932*b - 636*b. Let g(l) = 2*l. Determine g(j(k)).\nAnswer: -16718*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/(-24))\/((-6)\/((-216)\/(-15))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1736380983 to the power of 1\/2, to the nearest integer?\nAnswer: 41670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1235 and 520.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (21 + (-8 - 3 - 12) + -111)\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, n: 2}. What is prob of sequence nmmn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/135080570 and 42\/175604741.\nAnswer: 1756047410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence clqc when four letters picked without replacement from lcllqqqlcqlll?\nAnswer: 7\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -354*x. Let b(r) = -3*r. Determine b(q(g)).\nAnswer: 1062*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((320\/(-224))\/(7\/(-49)))\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 4*i = -26, -37 + 43 = s - 2*i for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p**2 - 8*p - 57. Does 3 divide a(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -123843, -495359, -1114559, -1981449, -3096035?\nAnswer: -4458323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 - -109. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 688 is divided by 99.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 4*t**2 + 16*t + 34. Let a be l(-3). Let n = 59 - 36. Let k = a - n. Which is greater: 2\/15 or k?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/2 and ((-84)\/(-8))\/((-2331)\/(-77)).\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 43077*f*m - 9323*m with respect to f.\nAnswer: 43077*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence guuo when four letters picked without replacement from {j: 1, o: 1, g: 1, u: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, m: 3, b: 3, x: 10}. Give prob of sequence bwmw.\nAnswer: 3\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10555566 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -82*g**3*w**2 - 87*g**3*w - 6*g**3 + 131595*g**2 + 15*g*w**2 wrt g?\nAnswer: -492*w**2 - 522*w - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 94 - (4\/5 + (-1018)\/(-2545))*-5\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2804 at least 2803?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 6*a**2 + 3*a - 6. Suppose -2*h - 12 - 2 = -4*q, -3*h - 3 = -3*q. Let w be s(q). Solve -8 = 5*t + w for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 5, g + 4*a + 14 = -4. Let c(x) = 2 - 2 - 18*x**2 + 16*x**g. Let w(y) = -y**2. What is w(c(s))?\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 48. Suppose -2*i + 148 = u. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11340 = -8*f - 1044. Suppose -f = -5*s + 4*l, 0 = -l + 3*l - 4. What are the prime factors of s?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -4*c. Let q(r) = -11*r - 1. Let j(n) = 5*i(n) - 2*q(n). Let p(y) = y**2 - 2. Let o be p(-2). Let z be 1\/o - (-11)\/(-2). Calculate j(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 385 - 209 = -22*c for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/3*(-42)\/(-28). Let b(a) = 146*a + 297. Let j be b(-2). Let f = 0 - 1. Put j, k, 3, f in descending order.\nAnswer: j, 3, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113 + -20?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millennium in decades?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/(-15)*6*2. Let s be 10\/25 - 46\/(-10). Put l, s, 3 in ascending order.\nAnswer: l, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -667*v**2 + 4*v - 504.\nAnswer: -1334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, i: 6, s: 4, a: 2, e: 1, r: 3}. Give prob of picking 1 s and 3 r.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34 - 13 - 13) + -13?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(6\/(-76)))\/(2\/(-9)). Suppose -r = -9*j - 30. Let -9\/4*n + 27\/8 - 3\/8*n**4 - j*n**2 + 9\/4*n**3 = 0. Calculate n.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**28*n*n**(20\/9)*n assuming n is positive.\nAnswer: n**(290\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43200 and 41445.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/15 + (-746)\/10. Let n = b - -72. Is n + (-3148)\/(-4) - -3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (954 + 968 - 3*r**2 - 1885)*(0*r + 0*r + 2*r**3).\nAnswer: -6*r**5 + 74*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -2*o - 6. Calculate the remainder when 39 is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 66224274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let d be (52549\/14)\/((-1)\/(0 - 2)). Let i = 13567 - d. Let r = -4021 + i. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*c**2\/5 + 12*c - 21\/5.\nAnswer: 3*(c + 7)*(3*c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -65\/9807 - 6343\/29421. Let m = -6.6 - -173.6. Is m >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39932?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -68*f*t**2*x - f*t**2 - f*t + t**2*x + 8 wrt x.\nAnswer: -68*f*t**2 + t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -129 + 132. Suppose 3*y + k*q = 12, -10*q + 5*q = 0. Let g(l) = 2*l**3 + 2*l - 5*l**2 - l**3 + l - 3. Determine g(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/15*1*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 56 = -11. Solve 4*t + 24 = -4*x, 4*t - x + z = -2*x for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/36*3 - (-28)\/(-3). Let m = r - -13. Suppose 3*s = -s + 8. Calculate the least common multiple of m and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 724166 is divided by 274.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 0*b = 4*b, 4*b - 3 = 3*a. Solve -2*y = -o + a*o, -3*y + 2*o = -25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 - 19 = -5*z. Which is smaller: z or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 713.\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 3:12 PM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 6*z. Let c(x) be the third derivative of 55*x**4\/8 - 730*x**2. What is j(c(g))?\nAnswer: 990*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 - 32.28. Let n = -0.12 + s. What is the third biggest value in -3, 0.4, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 19*i. Let s(t) = t - 1. Let j(o) = -l(o) - s(o). Let r = -22 + 16. Is j(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 22 = -0*r. Let u = r - 7. Solve -2*z - 4 = -u*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 9:23 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 13. Suppose -3*y = 12 - 3. Let l be 7 + -1 - t\/y. Let z(g) = -g**2 + 7*g - 6. Calculate z(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6*4\/8*-1. Solve -2*n + 1 = -c for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202908050?\nAnswer: 2, 5, 233, 17417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*5\/((-75)\/(-105))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 27*d + 67270000 = 0. Round d to the nearest 100000.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 6*n**2 - 4*n + 4. Suppose 0 = 4*i - 12 - 0. Is w(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/(-21))\/(2\/(-7)). Let c(d) = 4*d - 3*d**3 + 2*d**3 - 3*d**2 + 6*d**h. Suppose 3*r = -p - 11, 4*p - 45 = -p + 5*r. What is c(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96556 and 404?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -m**5\/20 + 17*m**4\/12 + 7*m**2 + 26*m. Let h be z(16). Let q = h + -148. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -2, 465, -3\/4, 0 in descending order.\nAnswer: 465, 10, 0, -3\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-30)\/k*k)\/((k\/(k\/(k*k**(15\/7))))\/k) assuming k is positive.\nAnswer: k**(-225\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, 7, -108, -4, -4\/3, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14852573*p**3*u**2 - 5*p + 218241333*u**2 wrt p?\nAnswer: 44557719*p**2*u**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**3 + 2*a + 4. Let o(n) = -n. Give 4*m(l) + 8*o(l).\nAnswer: 8*l**3 + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-15*(-216)\/(-80))\/(12\/8)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, -95, -3, -1 in decreasing order.\nAnswer: 4\/7, -1, -3, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -1\/2, 2\/7, -35, -1.\nAnswer: -35, -1, -1\/2, -1\/4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 0*k - 4*k)*(k**4 - 5*k**4 + 3*k**4) - 4*k**5 + 3*k**5 + 0*k**5 + (31*k**2 + 3*k**4 - 31*k**2)*(1 - 1 - 3*k).\nAnswer: -7*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1102717*l + 1090319 wrt l.\nAnswer: -1102717","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -7*n**2. Let s(x) = 2*x. Let t(p) = 21*p. Let q(h) = -56*s(h) + 5*t(h). Calculate g(q(m)).\nAnswer: -343*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(352)*2 - sqrt(352))\/((sqrt(11) + sqrt(44)\/sqrt(4) + sqrt(11))*3)*4 + (sqrt(160)\/(sqrt(30)\/sqrt(3)))\/(sqrt(768)\/sqrt(6)) + -4.\nAnswer: -4 + 73*sqrt(2)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 9) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 23 + 13. Suppose -o*d + 22 + 5 = 0. Suppose 226 = 3*t + k, -k + d*k = 4*t - 308. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 9:24 AM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 25*h - 5 - 9)*(h + 1 + 0 + 0).\nAnswer: -25*h**2 - 28*h - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -864 - 666 = -270*j + 630 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.05, 0.042, 127\/4, 2\/13, 0.3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -333395 rounded to the nearest ten thousand?\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1292\/51*(270\/(-12))\/((12\/(-2))\/1)?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 48*q - 333. Let k be b(7). Suppose -2 + 10 = 4*d. Solve -k + 11 = d*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 84, -1, 0 in increasing order.\nAnswer: -1, 0, 1, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = 12*a - 271. What is the remainder when 278 is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 9 - 16. Is (-2)\/10 + (-171)\/w a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1*1)\/(14\/(-28)). Suppose -33*w**2 - 21*w + 11*w**2 + 9*w**2 + 4*w**k - 12 = 0. What is w?\nAnswer: -4\/3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of 0*t**3 - 2*t**2 + 0 + 2\/135*t**5 + 1\/945*t**7 + 0*t**4 + 0*t - 1\/135*t**6. Find n such that g(n) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17424\/(-2541))\/((-24)\/(-462)).\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -252*c + 210*c + 1596. Solve -4 = -c*r + 39*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6) + sqrt(864)*1 - (sqrt(6) - sqrt(12)\/(sqrt(2)*-1 - sqrt(2))))\/((-1*sqrt(96)\/sqrt(6))\/sqrt(8)))**2.\nAnswer: 1587\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 4*w**2 - 2*w + 9. Does 14 divide a(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 12*r**2 - 16*r + 10. Is y(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27189 and 5247.\nAnswer: 299079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 865651.1 litres?\nAnswer: 865651100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -3*g + 3, 2*x - x = -2. Let d = 86 + -83. Suppose 20 = 4*y, g*q = 7*q + d*y - 735. List the prime factors of q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 339*j**2 - 13*j - 27. What are the prime factors of z(-2)?\nAnswer: 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1945805857 + 4.\nAnswer: -1945805853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2660652?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13860106?\nAnswer: 2, 13, 191, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - (-3)\/(4 + -1). Differentiate -3 + d + 3 - 2*i**3 with respect to i.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1183 (base 10) to base 16.\nAnswer: -49f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 4)*(-2 - 3 + 3 - 4*y) + 0*y + y + y + 1 - 1 + y as g*y + f and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 933 or 932?\nAnswer: 932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1171658, 1171647, 1171624, 1171589, 1171542, 1171483, 1171412?\nAnswer: 1171329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -79*b + 2. Let z(h) = 213*h - 6. Let c(u) = -8*p(u) - 3*z(u). Let t(r) = -r. Determine -c(v) + 2*t(v).\nAnswer: 5*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27842768953\/1762 - 15801799. Let r = 2\/881 + t. What is the closest to r in 5, -2, 4, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -14*p + 1. Let i(s) = 15*s - 2. Calculate -2*i(h) - 3*w(h).\nAnswer: 12*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4*n = 4, x = -3*n - 1 + 10. What is the tens digit of 10\/3*(3 + x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5440 = -6*l + l. Suppose u + 2*u - 1080 = 3*t, l = 3*u + t. Suppose 3*v = -2*w + u, -4*w + 6*v + 768 = v. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 7715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-10))\/((-4)\/(-20))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -324*s**2 + 99*s - 99. Let q(j) = j - 1 - 3 - 17*j**2 + 4*j**2 + 3*j. Let c(k) = -4*p(k) + 99*q(k). Let w(u) = -u + 8 - 8. Give c(w(y)).\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 70093 + -69150.66. Let i = -958.6329 + f. Let y = i + 16.3. Round y to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -49 - -37.5. Let r = n + 12. Which is the third smallest value? (a) -5\/4 (b) -5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 306 by -5.\nAnswer: -306\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - l**2 + 3*l + 35. Let n be o(0). Let f(w) = 53*w - 9*w + 35 - n. Let q(p) = p**2. Calculate q(f(k)).\nAnswer: 1936*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of 2*q**2 + 0 + 0*q**3 + 1\/30*q**5 + 0*q**4 + 0*q. Factor k(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - -3*(-2*sqrt(84) + sqrt(84) + sqrt(84))) + sqrt(84))\/((sqrt(324)\/sqrt(9))\/sqrt(3)).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*y**2 - 1\/4 + 0*y**3 - 1\/4*y**4 + 0*y.\nAnswer: -(y - 1)**2*(y + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2966 + 2981 + 0*o**4 + 3*o**4 wrt o?\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 12 = 3*i, 7*c = 8*c - i. Solve -j + 1 = -c for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5474 is divided by 1367.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15266*m = 15183*m + 249 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**2 + 36 - 79 - 5 + 21 + 67*j to the form n + g*j**2 + u*j and give u.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -r**8\/672 - 5*r**7\/126 - 77*r**6\/360 - 2*r**5\/5 - 11*r**4\/144 + 13*r**3\/18 - 275*r**2. Solve b(z) = 0 for z.\nAnswer: -13, -2, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -4*u + 2*j, 0 = -12*u + 43*j - 42*j - 53 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 138 and 7107.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 5*y**2 + 26*y - 16. Calculate r(-9).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/9 (b) 0.4 (c) 0.5 (d) 550 (e) -1\/2 (f) 2 (g) 1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 892 and -0.09297859.\nAnswer: 891.90702141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11585129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + (sqrt(56)*-3)\/sqrt(8)) - ((sqrt(336)*3)\/sqrt(12) + 5)**2.\nAnswer: -261 - 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1834 + -1172. Suppose n - 500 = -3*w + 2*n, 4*w = -n + c. Suppose 0 = 5*k + w - 496. List the prime factors of k.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*t = t + 127, 5*u + 4*t + 189 = 0. Let b = -40 - u. Is 2*(b + 39\/(-30))*-395 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 - 22. Put w, -2, 3 in decreasing order.\nAnswer: 3, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36666 and 16206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*((-3)\/2)\/(-3). Is 2718\/30 + x\/(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 15*w + 20. Let v(q) = -q**2 - 20*q - 67. Let l be v(-14). What is b(l)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 4) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ps when two letters picked without replacement from {x: 1, a: 3, b: 3, p: 3, s: 2, u: 1}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -4. Let k(f) = -f**3 - 3*f**2 - 2*f - 3. Let s be k(-3). Let g = -398 - -402. Put s, p, g in increasing order.\nAnswer: p, s, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5623 - 5611. Calculate the highest common divisor of p and 3468.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f + 2*f - 2*f)*(3*f**2 + 5*f**2 + 0*f**2) + (2 + 3*f**3 - 2)*(4 - 3 + 1 + (-4 - 3 + 6)*(-1 - 4 + 3) + 9 + 6 + 8).\nAnswer: 105*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -18493.2482 rounded to the nearest 100?\nAnswer: -18500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wiigpwwgyiewigw. What is prob of picking 2 i and 1 y?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23725378.\nAnswer: 2, 127, 93407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -1033*y - 3071. What is n(-3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 203305, 406689, 610159, 813721, 1017381, 1221145, 1425019, 1629009?\nAnswer: 1833121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 61*d**2 - 285*d + 216. Calculate s(56).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 3*p**3 - 3420*p**2 + 6831*p - 3414 = 0.\nAnswer: 1, 1138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 75622, 75669, 75716, 75763, 75810?\n\"Answer: 47*x + 75575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-2051))\/(3351\/15638)?\nAnswer: 2\/293","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*t**3 - 29044*t**2 - 1781163*t wrt t.\nAnswer: -24*t - 58088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/15 of a week?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y**4 - 120\/7*y**2 - 4\/7*y**5 + 68\/7*y**3 + 0 + 0*y = 0. Calculate y.\nAnswer: -2, 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12053 + -6862. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 140218 by 166.\nAnswer: 70109\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - bf9?\nAnswer: -bfc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52*n - 1898 + 1898)*(n - n - 15*n**2) - n**3 + 0*n**2 + 0*n**2.\nAnswer: -781*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 + 95*h - 924.\nAnswer: -(h - 84)*(h - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 0, -0.1, 2\/17, -1208, 71\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6624, 13514, 20676, 28110?\n\"Answer: 136*d**2 + 6482*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/107? (a) -13 (b) 0.51993 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 7741, -2\/11, 2\/75?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28 + 25*c - 28 + 4*c + 4*c + c + (-3*c - c + 6*c)*(2 + 1 - 1) + 3*c - 3*c + 2*c + (-5*c + 2*c + 4*c)*(-2 + 1 - 1).\nAnswer: 38*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4324, 3, 1\/5, 0, 1\/2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-2))\/((-10)\/((-40)\/2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*z - 6 - 30 = 0, 0 = 5*i + 3*z - 201. Suppose 27*o = i*o. Suppose 4\/3*t**4 + 0 + 2\/3*t**2 + o*t - 5\/3*t**3 - 1\/3*t**5 = 0. Calculate t.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1831144901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - 10*c - 75. Let m be j(15). Suppose 5*r = -3*b - 9499 + 58389, 4*b + 20 = m. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5 + -2*sqrt(3)).\nAnswer: 12*sqrt(3) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 + 81 = 6*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from hihhhi.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16420111, -16420114, -16420117, -16420120, -16420123?\nAnswer: -16420126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-8 - -2) + (21 - 16) + 14 + 93?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 24*r**2 - 8*r + 6. Is b(2) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-128)\/10*19\/(114\/(-15)). Suppose -2*h = 2 - 4. Is ((-7952)\/n)\/(h\/(-2)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/2496 and 49\/832.\nAnswer: 2496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3236*n**2 + 136*n + 4930*n**2 - 136*n.\nAnswer: 8166*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 407 + 153. Suppose y = 3*l - 10. Let k = 345 - l. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10555607, -10555603, -10555597, -10555589, -10555579?\n\"Answer: k**2 + k - 10555609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2918970*h. Let v(t) = 8*t**2. What is v(i(y))?\nAnswer: 68163086887200*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*z**2 - 2*z + 0*z + 2*z.\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 219051 and 11529.\nAnswer: 219051","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, -30, 0.4, -1483?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*t + 2*p - 4, 15*t + 18*t - 3*p + p - 10 = 35*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -3 + 1 + -6 + (-1 - -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 615 by 4.\nAnswer: 615\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, -0.3, 1831?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127 - 50 + 3*k**2 - 154 - 125.\nAnswer: 3*k**2 - 456","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 22, 27, 44, 79, 138?\n\"Answer: d**3 - 2*d + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5029 - 717?\nAnswer: -5745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = a - 54 + 30, -5*a = -3*z - 10. Let d(y) = 8*y**3 - 17*y**2 + 6*y + 6. Let n(w) = 7*w**3 - 16*w**2 + 5*w + 5. Determine z*d(t) + 6*n(t).\nAnswer: 2*t**3 - 11*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -t**7\/21 + 16*t**6\/15 + 11*t**5\/10 - 97*t**4\/3 + 296*t**3\/3 - 128*t**2 + 532*t. Determine x, given that z(x) = 0.\nAnswer: -4, 1, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 + -21. Let n(o) = 4*o - 10. Let a be n(c). What is the second derivative of -u - 1 - a + 13*u**2 + 7 wrt u?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -32*m**2 + 3*m + 55. Let s(p) = -50*p**2 + 4*p + 85. Let i(r) = 11*g(r) - 7*s(r). Calculate i(-3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (86 - -13 - 137) + 54\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 400 - 399. What is the smallest value in x, 0.047, 6?\nAnswer: 0.047","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.241 - -281.241. Let b = 158 - n. Let l = 122.99897 + b. Round l to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2467*z**3 + 2476*z**3 + 2469*z**3 - 9872*z**3 + 2470*z**3.\nAnswer: 10*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18*(-14)\/4*(-1 + 0). Suppose -2*k + g = 5*r, 5*k + 0*k - 2*r = 172. Is (k\/2)\/((-2)\/(-14)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9341889*p**4 - 3*p**2 + 5991696*p - 2 wrt p.\nAnswer: -112102668*p**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k**5 - 595*k**4 - 11185*k**3 + 25795*k**2 + 515190*k + 478800 = 0.\nAnswer: -95, -24, -6, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 6 - 6)*(2*n - 3 + 3) + (-5 + 308 + 128)*(n - n + n**2).\nAnswer: 435*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - h - 4. What is u(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*l - 10*l - 22 = 0. Solve 6*g - l*g = -16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6654.73 + -6689. Let v = 0.069 - -33.931. Let a = i + v. Round a to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-7) - (-581)\/49. Let u be (-24)\/(-14) - 2\/(-7). Suppose -2*w = -h + u*h - i, 3*h - 8 = w. Solve -l - h = -2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -2, -34 in decreasing order.\nAnswer: -2, -8, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (10 + -21) - 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**13\/(j\/(j**(-4)\/j)))\/(j**16)**(-1\/74))**(2\/21) assuming j is positive.\nAnswer: j**(178\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -180*x**5 - 2400*x**4 + 47095*x**3 - 143525*x**2 - 185500*x + 612500 = 0?\nAnswer: -25, -2, 2, 35\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 3*l**2 + 25*l + 29. Suppose 0 = 238*u - 239*u - 5*w + 29, 2*u - 4*w + 40 = 0. What is m(u)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100111000110111101 (base 2) in base 7?\nAnswer: -1235011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12852000 rounded to the nearest one hundred thousand?\nAnswer: -12900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1737 + 1765. What is the remainder when 133 is divided by q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 21436 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 - 3319852*z + 3319848.\nAnswer: 4*(z - 829962)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15664 + -15669. Which is the third biggest value? (a) -1811 (b) -0.1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -220 + 256. What is the least common multiple of b and 42?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 4:45 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 780369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17339377 + 29412220. Let y = j - 6472843. Round y to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f**2 - f + 1. Let m(z) = z**3 - z**2 + z + 9. Let a be m(0). Suppose 2*g - 3*c = -3*g - 15, a = -3*g - 3*c. Is r(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 45416 and 0.053.\nAnswer: 2407.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 2*a**4\/23 - 2*a**3\/23 - 44*a**2\/23 - 88*a\/23 - 48\/23 = 0.\nAnswer: -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.5 - 0.5. Let b = -0.13 - 17.87. Let y = -18.4 - b. Sort -0.5, t, y.\nAnswer: t, -0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + c. Give n(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101 + 3 - (448 - 461).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.06 + -0.06. Which is the third biggest value? (a) -1\/4 (b) -3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 1a11?\nAnswer: -1a09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 123*n**2 + 5*n - 118*n**2 - 4 + n**3 - 3*n + n. Give o(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8 - (-3718)\/33)\/(2\/3). Suppose q - 191 = -v. What is the lowest common multiple of q and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/19))**(5\/3)\/(j\/(j*j\/j**(-7)*j)*j**(2\/15)*j*j) assuming j is positive.\nAnswer: j**(1907\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 0)*(2*x - 2*x + 5*x) as z + n*x and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50116*p - 93*p**3 + 87*p**3 - 50116*p.\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3571391711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12469 + -9796. Which is bigger: h or 2674?\nAnswer: 2674","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/609504 and -101\/5574?\nAnswer: 566229216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(40\/(-18)) - 7\/(-35). Suppose -u + 58 + 216 = r*k, 0 = -3*u - 4*k + 814. Does 3 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-9)\/(-15) + 1488\/20?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26562 divided by -4427.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 6016, 18 in increasing order.\nAnswer: 9, 18, 6016","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 + 0)\/(222600\/(-111307) + 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 3257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llwcmzl. What is prob of picking 3 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100332 (base 4) in base 13?\nAnswer: 2488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/35 + (-1086)\/(-10). Sort 4, 1, c in increasing order.\nAnswer: 1, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.7 - -0.7. Suppose -3*p + 4*d + 14 + 6 = 0, 4*p - d = 5. What is the closest to 0 in -3, p, l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-693)\/(-484))\/(-21)*(-24)\/(-27). What is the second smallest value in -2, a, -4, 2\/13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30? (a) 4 (b) -0.1 (c) -2 (d) 10.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*t - 31*t**6 + 8*t**5 - 2*t + t**2 + 33*t**6 - 2*t**2 + 8*t**5 wrt t?\nAnswer: 240*t**3 + 960*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*v**8)\/v*v*v**4)\/(v**8*v**(1\/11)))**(-2\/65) assuming v is positive.\nAnswer: v**(-2\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.89 + -5.99. Let m = 6.3 - 1.3. Which is the nearest to k? (a) -8 (b) m (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - -2) + 0\/4 + -686. Let g be ((-3)\/(-14))\/((-27)\/n). Are 4 and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q - 6. Let b be 1*-1 - 8\/4. Let t be 4\/6 + 44\/b. Let p = 9 + t. Calculate z(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a decade in years?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 41*d**2 - 9*d - 49. Let r = 33 - 37. Let a(x) = -20*x**2 + 4*x + 25. Let t(i) = r*h(i) - 9*a(i). Differentiate t(b) with respect to b.\nAnswer: 32*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2*p + 1 + (0 - 3 + 1)*(-2*p + 2 - 2) + ((5 + 1 - 4)*(-2 - 1 + 1) + (19 + 0 - 4)*(1 - 2 + 3))*(-4 + 4 - p).\nAnswer: -24*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 5.2. Suppose -5*q = i - 19, 0*i = 3*i - 4*q + 38. Let v be (-32)\/12*i\/(-4). What is the smallest value in -2\/21, v, l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 60 = -2*o + 5*b, o = 4*b - 3. Let i be (1206\/(-10))\/(3\/o). Find the third derivative of 603*w - i*w - 18*w**3 + 29*w**2 wrt w.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z - z - 3*z)*(-2271989*z + 2271989*z - 24*z**2 + 33 - 2*z**2 + 218) to h + o*z**3 + k*z + g*z**2 and give o.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 98958366?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -3077?\nAnswer: 3104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 15) + 12\/30*15 + 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623814110 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105 (base 12) to base 9.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of j**7\/210 - j**6\/24 + 2*j**5\/15 - j**4\/6 - 39*j**2\/2 - 2*j - 22. Let h(g) be the first derivative of r(g). Solve h(d) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -11*j. Let m(f) = -2*f**2 + 1250*f. What is m(z(q))?\nAnswer: -242*q**2 - 13750*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 is divided by 138\/(-1449) + (-214)\/(-42).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69056?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -3*j**4 + 333345*j**3 + 27349419*j**2 + 560766471*j = 0.\nAnswer: -41, 0, 111197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d. Let j(g) = g**2 - 22*g - 1. Give 3*j(q) + 21*k(q).\nAnswer: 3*q**2 - 3*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*m**2 + 6*m**3 - 2*m**2 - 3*m**2 + 3 in the form w*m + o*m**2 + i*m**3 + a and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (3\/(-2)*1)\/((-72)\/912)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-2) - 17\/(-42). Is k at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -5*w**3 + 9*w**2 - 11*w - 5. Let i(v) = 2*v**3 - 4*v**2 + 5*v + 2. Let j be -15 + 14 + (-6)\/2. What is j*z(b) - 9*i(b)?\nAnswer: 2*b**3 - b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 0 - (7 + -3 + -4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a week in seconds?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 420*j - 5*g = 423*j - 195011, 0 = 4*j + 4*g - 260004. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1 + sqrt(245).\nAnswer: 2 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = -3*v + 4*w + 46, -28 = -2*v - 2*w for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i. Let n(b) = 2*b - 16*b**2 - 9*b + 7*b. Give n(m(l)).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 471520611?\nAnswer: 3, 52391179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.67 or -2.5?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rxrxrrxrrxrrxrxrxrr. What is prob of picking 2 x?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, -4, -304, -23, -63, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -15*i**2\/2 - 871*i\/2 - 29 = 0.\nAnswer: -58, -1\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 95043\/312 - (-6)\/16 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3500, 6999, 10498, 13997, 17496, 20995?\nAnswer: 24494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48792 and 40926?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 + 1 + 0 - -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p - 7. Let d be t(7). Suppose 0 = -2*j - d*j + 14. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 770 + -3989?\nAnswer: -3219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -780 - -749.85. Let o = b - -30. Let s = -0.15 - o. What is the nearest to s in 4, -0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -523838 (base 16) to base 9.\nAnswer: -11122368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 59941.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 550.2635 nanograms?\nAnswer: 0.0005502635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -33*w. Let h(n) = -1178*n**2 - 684*n. Let z(t) = -5*t**2 - 3*t. Let c(y) = h(y) - 228*z(y). Give b(c(o)).\nAnswer: 1254*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 171216 - -71335. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4031 + 21 - 11 - (8*1 - 2) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 - 4 = -12*b. Let h = 3\/32 - -55\/96. What is the closest to 0 in -2, b, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/10)*l**(2\/7))**20 assuming l is positive.\nAnswer: l**(54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 225528 divided by 643\nAnswer: 225528\/643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2040\/(-5440))\/((-2)\/4)*(-12)\/(-81).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - -2 - 11) + -3 + 23?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -109*c*u**3 + 15*c*u**2 + 10282*u**3 wrt c.\nAnswer: -109*u**3 + 15*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.778811 rounded to 3 decimal places?\nAnswer: -5.779","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -510 + 512. Suppose j - 3*m + 327 = -1119, -h*m = 4*j + 5756. What is j rounded to the nearest 10?\nAnswer: -1440","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 7:52 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44 + -42. Let i = 94 - 93.14. Let x = i + 0.14. What is the nearest to 3 in n, x, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4357108.\nAnswer: 2, 7, 61, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -112 + -10?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4989518 to the nearest integer?\nAnswer: 2234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*x + 4 - 11 + 4.\nAnswer: 68*x - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + s**2 - s - 1. Let u(o) = -o**3 - 3*o**2 + 3*o + 3. Let p = 1708 + -1184. Let r = p - 527. Determine r*z(g) - u(g).\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 11:19 PM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3*i**2 - 60*i - 44. Determine v(-13).\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 4, -50, -4, 1.\nAnswer: -50, -4, 1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6108 - (27\/(-36) + (-57)\/(-12)). Let z = f + -3473. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -72 by 77.\nAnswer: -72\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 - 792*d + 156816.\nAnswer: (d - 396)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + -3*sqrt(25)\/sqrt(5) + -2 + (-1*sqrt(2430) + sqrt(2430) - sqrt(30))\/sqrt(6).\nAnswer: -3*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-12)*(-76)\/(-399).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*r = i - 120, 4*r = 4*i - 248. Let u(z) = 71*z - 67*z + 46 + 14 - 4. Let v be u(8). Calculate the highest common factor of i and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 5*n - 24. Let h(d) = 2*d - 6. Let o(p) = -5*h(p) + y(p). Calculate o(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 18746 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in decades?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, m: 2, q: 2, p: 1}. What is prob of sequence pqm?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 w when three letters picked without replacement from {s: 4, w: 8, e: 8}?\nAnswer: 28\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 0)\/(6\/(-3)). Suppose t = 4*i - 99 - 45. Let q be -4*8\/i + 1. What is the second biggest value in 1\/2, -4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 658666168?\nAnswer: 2, 251, 331, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, -5\/6, 2\/33, -103, 1, 1\/8 in decreasing order.\nAnswer: 1, 0.7, 1\/8, 2\/33, -5\/6, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 319, -6, 1 in decreasing order.\nAnswer: 319, 3, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-69)\/2093)\/(6\/(-13))\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 - 0.1. Suppose 3*g = 3 - 0. What is the closest to r in g, -0.4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 189364.5 millilitres in litres?\nAnswer: 189.3645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*l + 50*l = c + 106*l + 18, 0 = -4*c + 33*l - 177 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1838 less than 3?\nAnswer: 1841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -23, -86\/9, 1, 1\/9, 0.2, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 40, 195, 500, 991, 1704?\n\"Answer: 6*n**3 + 39*n**2 - 4*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/154 and -51\/4312?\nAnswer: 4312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = 12*s - 171. Suppose -s - 162 = -3*i. Is i at most as big as 73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kcl when three letters picked without replacement from {t: 2, k: 1, l: 1, c: 3}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -138 - -138.1. Which is the third smallest value? (a) 12 (b) v (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence om when two letters picked without replacement from {o: 1, m: 3, w: 13}?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**3 - 164842*i**2 + 659392*i - 659400 = 0.\nAnswer: -82425, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/(sqrt(10)\/sqrt(5)) + sqrt(6)\/(sqrt(3) + sqrt(48)))*-6*-2.\nAnswer: 72*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*n**4 + 5*n**4 - 4*n**4 + (4*n**4 - n**4 - 4*n**4)*(-3 - 1 + 6) + n**2 + n**4 - n**2 + (2*n + 2*n - 6*n)*(-1 + 2*n**3 + 1).\nAnswer: -9*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 791, 861, 921, 971, 1011, 1041, 1061?\nAnswer: 1071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 8*v**2 - 6*v + 7. Let m be t(-7). Let z be (5 - 2)*2\/3. Solve 0 = -2*g + 4*u + z, -4*g + u - 3*u + 4 = m for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -171 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 600.7591m to nanometers.\nAnswer: 600759100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 13\/(-15) - (-6)\/9. Let j = -834 + 834.2. Which is smaller: u or j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -603, -592, -565, -516, -439, -328, -177, 20?\n\"Answer: r**3 + 2*r**2 - 2*r - 604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55348 - -4532. Suppose 3*g = 2*j - 59879, 6*g - 3*j + p = 3*g. Let i = g + 13559. Round i to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.8 - -3.4. Which is the biggest value? (a) 3\/4 (b) -0.2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1736?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21.9 - -3.9. Is 0 <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0509 - 0.2509. Which is the nearest to -2? (a) g (b) -4 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rt when two letters picked without replacement from {t: 1, c: 2, r: 1, h: 4, a: 5, z: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*n + 222*n - 194*n.\nAnswer: 88*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(1\/11)\/t))\/(t**(-18)*t) assuming t is positive.\nAnswer: t**(208\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3075, -31, 3013, 6057?\nAnswer: 9101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -10*t**2. Let y(d) = d. Suppose -j - 2 = 0, 4*l - 5*j + 2 = -0*j. Let f(h) = -h. Let o(n) = l*f(n) - 4*y(n). What is s(o(u))?\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6983 is divided by 1551?\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of k**5\/20 + k**4\/3 + 2*k**3\/3 + 3*k**2\/2 + 4*k. Let o be z(-3). Solve h + 2*h + 12 = o for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5589562345 to the nearest integer?\nAnswer: 74763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - 22*l + 62. Give i(-21).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -29*p**5 - 4*p**4 + 16*p**3 - 9*p**2 + 9*p + 18. Let i(q) = -3*q**5 - q**2 + q + 2. Let k(b) = 18*i(b) - 2*w(b). Factor k(x).\nAnswer: 4*x**3*(x - 2)*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1647 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 142000 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*b + 9 = -42*b. Let t(a) = 32*a. Let s be t(b). What is the third smallest value in s, 1\/6, -2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3\/5))**17 assuming i is positive.\nAnswer: i**(-51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 6144*f + 3. Let y be l(-1). Let m(d) = 427*d**3 - 2*d**2 - d. Let w be m(-2). Let p = w - y. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 13 - 14)\/(-1 + -2)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8185436 (base 10) to base 7.\nAnswer: 126401150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2*(-1 + (5 + (1*sqrt(2057) - sqrt(2057)) - sqrt(2057))) + 1*(1*1*sqrt(2057) + sqrt(2057) + (-1 + sqrt(2057))*-1 + sqrt(2057)))**2.\nAnswer: -440*sqrt(17) + 32937","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 805.1 rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in -6, -0.05, 1\/3, 4\/3, 13\/4, -0.4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 + 6)*(-4)\/(-6). Let t be 16\/(-4) - (-2)\/(3 + -1). Let g be (-7 + 5)*8*(-4 - t). Solve -2*w - g = k*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((4 - 4) + 4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, -6, 0.5 in descending order.\nAnswer: 4\/7, 0.5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -53*m**3 - m**2 - 3*m - 2. List the prime factors of d(-1).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and 3036105.8.\nAnswer: 3036105.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t + 12. Let p be u(7). Let q = 24 - p. Let c = 4 - 1. Solve 22 = -q*y - c for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -3*r + 4, -3*w = 3*r + 38 - 44 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7803635*l + 7989204.\nAnswer: -7803635","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/56161 and 7\/3.\nAnswer: 168483","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -596\/85 - -7\/17. Calculate the common denominator of d and 6\/((-2)\/(-6)*15).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 886.\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - z**3 - 94*z**3 - 48*z + 48*z + (-z + 0 + 0)*(2*z**2 - 2*z**2 + z**2).\nAnswer: -96*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -6*q**2 + q + 2*q**2 + 3*q**2 + 16. Let p be t(0). Suppose -2*g - 3 = 5*c, -4*c = 5*g - 0*g + p. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 5 - 5)*(-1 + 2938*s**3 - 4*s + 5*s - 2935*s**3).\nAnswer: 3*s**4 + s**2 - s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/5 + 16*d - 320.\nAnswer: -(d - 40)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 25*s**2 + 30*s + 68. Is 43 a factor of k(26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 (base 14) in base 13?\nAnswer: -3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 73946.0033589 - 73946. Round a to four decimal places.\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 643 + -245. List the prime factors of g.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -67 - ((-27 - -4) + (-119 - -116))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/37 or -115389?\nAnswer: -115389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -24.79, -0.05, -90.\nAnswer: -90, -24.79, -3, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of 3\/2*b**2 - b + 1\/20*b**5 + 0 + 1\/4*b**4 + 1\/3*b**3. Let t be r(-2). Solve 30 = -3*n - 3*d, -t*d + 2*d = -3*n - 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2974 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -2\/3*x**3 + 0*x + 0*x**2 + 2. Let n(i) be the first derivative of -i**3 - 1. What is w(n(b))?\nAnswer: -18*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-265)\/(-65) + (-4)\/52. Let l = -8 - -13. Sort -4, b, l.\nAnswer: -4, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/5 - 36*i\/5 + 10990.\nAnswer: -2*(i - 157)*(i + 175)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 1)*-3 - 196\/(-70). Which is the closest to -0.2? (a) 542 (b) p (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 633\/2 + -325. Find the common denominator of d and ((-8)\/16)\/(275\/(-154)).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 21*s**2 + 5. Let p be i(-21). Suppose -5*d = -5*h - 7 + 2, p*h - 25 = -5*d. Factor -3\/2 - 3\/2*l**h - 3*l.\nAnswer: -3*(l + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.69309 millennia in years?\nAnswer: 49693.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -35? (a) 4.5 (b) -2 (c) -3 (d) -1\/63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 543, -3 in decreasing order.\nAnswer: 543, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49764.\nAnswer: 2, 3, 11, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 310 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-5) - (-43)\/5. Let h = r + -6. Suppose q + q - 7 = v, -3*q = 3*v + h. Solve -2*d + q = 2*f - 0, -5*f + 5*d = -5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r = -3*i - 9*r + 7, 0 = 65*i - 65*i - 2*r + 32 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -229485518, -229485519, -229485520, -229485521?\nAnswer: -229485522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 819.689 litres in millilitres?\nAnswer: 819689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.06 + -0.06746. What is q rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -8. Let q = u + 1. What is the nearest to -2\/7 in -3, q, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23.3 + 23.5. Let z = -0.7 - -4.7. What is the nearest to z in 1, 0, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 439 is divided by 32.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12234 (base 6) to base 13.\nAnswer: aa2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - 3) + 17 + (-23 - -16 - -33)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -74 + 77. Let a(i) = 513*i - 8. Is a(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, u: 2, n: 1, a: 1, p: 3, i: 3}. Give prob of sequence iu.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -4*n + 4*m + 112, 4*n + m - 117 = 0. Suppose 0 = -v + 3*s + 10, s + 2*s = -2*v + n. Solve g + 3*l = -l - v, 3*g = l + 13 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.5 + -6.17. Let y = q - -0.07. Which is the second biggest value? (a) y (b) -0.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five quarters of a millennium?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1966, -1968, -1970, -1972?\nAnswer: -1974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s + 13. Let y(f) = -f. Let w(o) = l(o) - 5*y(o). Calculate the remainder when 95 is divided by w(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iwwb when four letters picked without replacement from {i: 2, b: 1, w: 3, t: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3950, 3961, 3972, 3983?\n\"Answer: 11*o + 3939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (123*w**2 - 73*w**2 + 103*w**2)*(3*w + 3*w - 5*w) - 2 + w**3 + 2 + w + 2*w**3 - w to the form v + j*w + x*w**2 + t*w**3 and give t.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.17, -0.5, -99337 in decreasing order.\nAnswer: 0.17, -0.5, -99337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*b**2*c*x - 28*b**2*x + 2*c**2*x + 20*c*x wrt c?\nAnswer: -2*b**2*x + 4*c*x + 20*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -55*a - 313 - 127 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 858, 3724, 8578, 15414, 24226, 35008?\nAnswer: 47754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22557 - 10152?\nAnswer: 12405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2021 - -110?\nAnswer: -1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of 0*h**6 + 0*h**4 + 0*h + 0 + 3*h**2 - 1\/6*h**3 + 1\/30*h**5 - 1\/210*h**7. Factor k(g).\nAnswer: -(g - 1)**2*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-17)*b*(b\/(((b*b**28*b)\/b)\/b))\/b*(b*b\/(b**(-3)*b))**(2\/29) assuming b is positive.\nAnswer: b**(-1268\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00036163409 to five decimal places.\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sbsbssbbbbbsss. Give prob of sequence bbbs.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 32 + 46 - 32*c - 130. What is the tens digit of i(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -283 - -3397\/12. Let l = f + 5\/4. Let d = 2.5 + -2. What is the closest to 1\/3 in l, 1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 258 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((2\/6)\/(12\/36)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, u: 2, n: 1, h: 3, z: 7}. Give prob of sequence dznz.\nAnswer: 49\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/22 and 73\/192.\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33*40\/3300)\/(14\/2)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*x - 119*x + 20*x - 59*x**2 + 22*x**2 + 40*x + 32*x.\nAnswer: -37*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*i**3*m*y**2 - i**3*m*y - 8*i**2*m*y**2*z - 5*i**2*m*z - 2*i**2*y*z + 9*m*y*z - 2*y**2 wrt y?\nAnswer: -22*i**3*m - 16*i**2*m*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-225)\/(-27) + -8)*(-18)\/(-10). What is the closest to -0.08 in i, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.8 - -10.5. Let r = -4 + 0. What is the third biggest value in r, -0.13, n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from spnqyyz. What is prob of picking 1 p, 1 y, and 1 s?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uddu when four letters picked without replacement from uudiliilidliidi.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -340, -499, -592, -613, -556, -415, -184?\n\"Answer: f**3 + 27*f**2 - 247*f - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (6 + -10) - 11.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 479 * 0.282515\nAnswer: 135.324685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*y - 10. Let a(j) = -3 + 13 - y + 12*j + 9 - 3*j**2. Let p(i) = -7*i**2 + 24*i + 31. Let d(u) = 13*a(u) - 6*p(u). Factor d(r).\nAnswer: 3*(r + 1)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95503?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6 - 5*b**4 - 5*b**4 + 0*b**4 + 4*b**4 with respect to b.\nAnswer: -24*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - m - 1. Let f be s(2). Find the second derivative of a**5 - 6*a + a**f + 2*a wrt a.\nAnswer: 40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26019911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -858065*o**4 + 683*o**2 - 560*o wrt o?\nAnswer: -20593560*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 82 + -22 + 57 + -82\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1088 and 25305894?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*i + 30*i - 29*i - 19*i.\nAnswer: -27*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 2*f - 18. Suppose 4*z + 5*x + 9 = 0, -3*z - 5*x - f = -2*z. Let k = 3 + -2. Put 5, k, z in decreasing order.\nAnswer: 5, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318647.96 plus -0.776?\nAnswer: 318647.184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*t**4 - 100*t**3 + 100*t**3)*(-6 + 57*t - 114*t + 54*t).\nAnswer: 66*t**5 + 132*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -335590, -671186, -1006784, -1342384, -1677986, -2013590?\nAnswer: -2349196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkgkggkkyygyyysysgy. What is prob of picking 2 y, 1 k, and 1 s?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1713, 3413, 5121, 6843, 8585, 10353?\nAnswer: 12153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 11*z + 4. Let q(t) = -5*t - 2. Calculate -4*f(p) - 9*q(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 5*i - 1. Suppose -1 = -s - 3*q, s - 3 = 5*q - 2. Suppose 19 = -5*g - s. Give o(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 8060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -r**5\/12 + 3*r**4\/8 + 6*r**3 + 5*r**2 - 5. Differentiate n(s) with respect to s.\nAnswer: -10*s + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 215915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.154? (a) 0.06 (b) 0.2 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 41630, 166711, 375182, 667043?\n\"Answer: 41695*r**2 - 4*r - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 divided by 5?\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1077?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 356.4 - -146.1. Round g to the nearest ten.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (5 - -6) - (-491 + 480)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/411858 and -29\/3510.\nAnswer: 26770770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 257727 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2880308, -11521289, -25922924, -46085213, -72008156?\nAnswer: -103691753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 3*p**3 - 14762445*p**2 + 14762442*p = 0.\nAnswer: 0, 1, 4920814","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) -2 (c) -5163.6 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45*5\/(-90))\/((-10)\/(-8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -223*p**6\/30 - 82*p**2 - 2*p + 219. What is the derivative of c(k) wrt k?\nAnswer: -892*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5\/1202 + 42979\/1803. Find the common denominator of s and 3 - (435\/50 + -3).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s = 5*p - 128 + 91, 5*s + 2*p - 17 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 14*a**2 - 16*a - 9. Let x be h(-15). Suppose -195 = -5*p - n, 5*p - 3*n + 39 = 6*p. What is the highest common divisor of p and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 65 - -1074. Suppose 5*s = -4*d - 595 + 3475, 2*s = d + n. What are the prime factors of s?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49181 is divided by 311?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -30, -77, -150, -267, -446, -705, -1062?\n\"Answer: -3*x**3 + 5*x**2 - 41*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-3)*(-3)\/20. Let x(u) be the third derivative of 0*u + 0 - 1\/8*u**4 + 2*u**2 - f*u**5 - 1\/2*u**3. Give x(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16765 to the power of 1\/2, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -50 - (-13 + (10 - (5 + 3 + 0 + -7)))\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.1533 + 0.8467. Which is the third smallest value? (a) s (b) 4\/5 (c) -0.2 (d) 1\/8 (e) 18\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssrkrookkkook. Give prob of picking 3 o.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-2)*(2 - 8). Let q(t) = t**3 + t**2 - 3*t - 3. Let y be q(h). Let x = y - 8. What is the remainder when x is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34\/13*n + 76\/13 - 2\/13*n**2.\nAnswer: -2*(n - 19)*(n + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1090?\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14607297.\nAnswer: 3, 180337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8 - 1 - (-3 + 1). Let j = -10 + o. What is the units digit of 2*(-1 + j + 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 12*r**2 - 17*r + 3. Let d be v(-14). List the prime factors of (1 + 0)\/(3\/d).\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 8\/2 - 0\/(-1). Solve -2*v + 3*x = v - 3, 5*v = -s*x + 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 150.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -114.7 rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -300*h**3*r - 647*h**3 - 2*h**2*r - 3*h**2 - 2*h*r + 19630*h + 245*r wrt r?\nAnswer: -300*h**3 - 2*h**2 - 2*h + 245","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 153 = 5*s, 5*a = 5*s - s + 189. Let l be (40\/14 - -2) + (-1)\/(-7). Which is bigger: l or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (56\/(-98))\/((-6)\/21). Let v be (-2)\/(-6) - 94\/(-6). What is the greatest common divisor of v and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 22 = 4*k, -2*k - 2*p - 2 = p. Let a be (-33)\/((-2)\/k - 2). Let q be (8\/(-6))\/(a\/99). Are q and -6 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -253a707 + 5?\nAnswer: -253a702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 133 and 35302.\nAnswer: 247114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and 4614.7.\nAnswer: -41532.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4466 and 8526.\nAnswer: 93786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - (3 - 1))\/2. Sort r, 2, 3.\nAnswer: r, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4379, 9257, 14133, 19007, 23879?\nAnswer: 28749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9338471169.\nAnswer: 3, 3112823723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5837787 > 5837787?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -124340344 (base 7) to base 9.\nAnswer: -15845277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 567.7959 millimeters to kilometers.\nAnswer: 0.0005677959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*x + 21 = 3*i, -4*i - 5*x = 3. Put i, -1, 0 in decreasing order.\nAnswer: i, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 16*h + 1862 - 1826. Solve -3447 + 3449 = -h*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1013 - -1017) + (-2 - 52).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.09+12.0211591\nAnswer: 11.9311591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-561)\/(-3060) - 1\/(-15)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**3 - 7*x**2 - 4*x - 5. Let t be u(-5). Let g = t - 61. List the prime factors of g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 5) to base 16\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (23 - 71 + 22)*(-n + n + n)*(3 + n - 3)*(-13 - 91 + 11) as t + i*n**2 + l*n and give i.\nAnswer: 2418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 198 (base 16) to base 5.\nAnswer: 3113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 110833 and 21034?\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50529.\nAnswer: 3, 16843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -0.04, 3, 3\/28?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/(-4)*132\/231\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -73966.07 rounded to the nearest one hundred?\nAnswer: -74000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 459, -10\/9, -36?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/8)*h*h**6*h**(-3\/4)*h*h**4)\/((h**(-2\/9)\/(h**2\/h))\/((h**4\/h)\/(h\/(h**(1\/4)*h)*h))) assuming h is positive.\nAnswer: h**(1033\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -152837, -2, 1 in increasing order.\nAnswer: -152837, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**3 - 16*a**2 + 106*a - 630. What is b(7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1391064979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 8*b + 17*b - 8*b.\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8753794 to the power of 1\/2, to the nearest integer?\nAnswer: 2959","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 3*a - 6291, -a + 2358 - 261 = -5*t. What is a rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**2 + 3*l**2 - l**5 + (2*l**4 + l**4 - 5*l**4)*(-48*l + 25*l + 21*l) + 2*l**5 - l**5 - 2*l**5 + (4*l - 4*l - 2*l)*(2*l**2 - 2*l**2 - l**4).\nAnswer: 4*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 8.8. Let y = d - -0.2. Let w = 0.51 + 1.49. Which is the closest to 0? (a) 5 (b) w (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 372746627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of -l**4\/8 - 4*l**2. Let d(a) = -142*a + 375*a - 91*a - 137*a. Calculate d(c(b)).\nAnswer: -15*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1471?\nAnswer: 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 323210489 a multiple of 531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(175) - (sqrt(175) + 1))*6 + -3*(-1 + sqrt(175))*-3)*6.\nAnswer: -90 + 270*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27803999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -64*h**3 - 2*h**2 - 2*h - 1. Let y be ((-2)\/3)\/((-2)\/(-3)). Let c be m(y). Suppose 5*v - 49 + 14 = 0. What is the greatest common divisor of c and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-7*(-23)\/966)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-444)\/10)\/((4\/5)\/(-2)). Find the second derivative of -z**4 - 111 + 11*z**3 + t + 30*z wrt z.\nAnswer: -12*z**2 + 66*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -3\/7*z**4 + 0*z - 4\/7*z**3 - 89 + 9\/35*z**5 + 0*z**2. Factor s(h).\nAnswer: 3*h**2*(h - 2)*(3*h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2 + sqrt(208) + 2.\nAnswer: 8 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 5507*v - 199551. Determine t(-36).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 v when three letters picked without replacement from uvuuuuuuuuuuuuuuuuuv?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1242848 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 309, 298, 285, 270, 253, 234?\nAnswer: 213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (1 - 3) - (24 - 30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 67248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppaptyyttttymtyttpt. Give prob of picking 1 t and 1 p.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 132 and 252?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*p + 1600 = 312. Let t(u) = u**3 - 27*u**2 - 27*u - 24. Let b be t(p). Find o, given that b*o**3 - 10*o**2 + 0*o + 0 - 2\/5*o**4 = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3.9 (b) 2\/12169 (c) 5 (d) 0.1 (e) -0.33\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 5:02 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2351338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -12470 (base 13) to base 9\nAnswer: -51228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 9017*i**3 - 8*i**2 - 21*i + 5. Is n(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, -678, -15 in increasing order.\nAnswer: -678, -29, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4*sqrt(18)\/sqrt(3))\/(sqrt(432)*-1).\nAnswer: 5*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 22002 (base 5) to base 7\nAnswer: 4244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 1) + 0 + 25. What is the units digit of 7\/(14\/l) + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 22. Let u be 3*(-3)\/(x\/(-2)). Find the third derivative of -6*b**u + 3*b**2 + 3*b**3 - 3*b**3 - 3*b**4 wrt b.\nAnswer: -72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8065 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 77, 90, 111, 146, 201?\n\"Answer: a**3 - 2*a**2 + 12*a + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*5\/440)\/((-137)\/(-548))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4878227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 6:59 PM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6664 + 2312554?\nAnswer: 2322551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2 = -3*f + 5, -3*w + 27 = -3*f. Let z = 346 - 244. Suppose 2*k + 0 = 4*v + z, -5*k = -3*v - 269. What is the greatest common factor of k and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u\/(u**(1\/5)\/u))))\/(u*u**(-2\/3)*u))\/(u**0)**(-3\/7) assuming u is positive.\nAnswer: u**(7\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j**2 + 2*j + 1. Let u be b(-1). Suppose -2*h - 1 = -3*h - x, -5*h + 35 = -x. Suppose -5*g + 12 = -g. Sort g, u, h in descending order.\nAnswer: h, g, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 33 = -t, 6*b + 7*t - 8*t - 22 = 0. Suppose 10\/3*l**3 - 3 - 3*l + 10\/3*l**2 - 1\/3*l**4 - 1\/3*l**b = 0. Calculate l.\nAnswer: -3, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-5 + 1 - (-3 + -2))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3449762527 to the nearest integer?\nAnswer: 1511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -7*f - 3. Let y be x(-6). Calculate the greatest common divisor of y and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 463235584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 3*x + 53 = 47, 109*z = -2*x - 333 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 9*b**2 - 9*b + 6. What is the least common multiple of o(-8) and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -1122529\nAnswer: -1\/1122529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -35214*f. Let v(b) = -7*b. Determine v(t(s)).\nAnswer: 246498*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + m**4 - 2)*(-8 + 8 + 9*m)*(-3 + 3 - 2).\nAnswer: -18*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15730 is divided by 17?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 + (42 - (107 + 12)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 33*i + 258. Let f be v(21). Let p(r) = -99*r - 6 + 105*r + f. Let h(j) = -5*j - 8. What is p(h(n))?\nAnswer: -30*n - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 132\/31393363?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 350 + -150. Suppose -4*r + c = 2*b, -2*b - 200 = -4*r + 3*b. What is the highest common divisor of 25 and r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -0.044, -225278 in ascending order.\nAnswer: -225278, -4, -2, -0.044","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -927*l*q**2 - 6*l*q + 20*l - 6*q**2 - 668 with respect to q.\nAnswer: -1854*l*q - 6*l - 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1703, 53, -4 in decreasing order.\nAnswer: 53, -2, -4, -1703","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -20.4, 4, 0.2, -1\/6, -24?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 15*f - 6. Let d be t(-13). Let c = 1403 - 1350. What is the derivative of -48*v**2 + 6 - d + c wrt v?\nAnswer: -96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 29 = -2*m, 6*m = 5*m - 3*u + 27. Suppose 0 = -m*q + 7*q + 190. Let n = q + 35. List the prime factors of n.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 10 = 4*t, -5*t - 4 = -3*t. What is the smallest common multiple of s and 156?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 520 + -463. Solve -s = -3*n - 66 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 74\/12 + 13 + -19.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*h**2 - 13*h**2 + 581 + 544 - 1125.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2073 + 1139 = -344*o + 804 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(270)\/(sqrt(30)\/sqrt(5)).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-33))\/((-3)\/(-18)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 + -10. Let t = -11.0000006 + j. What is t rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -337*z - 121. Let b(i) = i**2 - 30. Give -4*b(k) + w(k).\nAnswer: -4*k**2 - 337*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9353 is divided by 36.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 12, 73 in increasing order.\nAnswer: -20, 12, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*f**2 + 8*f**3 - 12*f**3 + 16*f**3 + 3 - 17*f**3.\nAnswer: -5*f**3 - 26*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -31464 + -1992?\nAnswer: -33456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -20 - -7 - (0 + -1). Let k = -7 - q. Suppose -j - 2 + 0 = -b, j - 28 = -k*b. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8291035, -8291034, -8291033, -8291032, -8291031?\nAnswer: -8291030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/10 (b) -8 (c) 12 (d) 749 (e) -1\/3 (f) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 373.711 - 22.331. What is o rounded to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*b**2 + 1)*(3*b + 2*b - 3*b) - 2 + 2*b**3 - 5*b**2 + 11*b**2 + 4*b**2.\nAnswer: 6*b**3 + 10*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/22 (b) 2\/205 (c) -3958 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 10:45 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 8*i**2 + 4*i + 7. Does 4 divide r(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*l + 19*l + 293 = -397 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w - 3. Let l(b) = -b - 4. Let n be 13\/(-2) - 5\/(-10). Let z be l(n). Suppose -z*v = -v. Calculate g(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39837 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 d(p) be the third derivative of p**6\/24 - 11*p**5\/12 + 35*p**4\/6 - 12*p**2 + 22. Let d(w) = 0. Calculate w.\nAnswer: 0, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -730028\nAnswer: -2920112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-64)\/14 + (-116736)\/(-3584).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14099191.\nAnswer: 29, 486179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(2 - 4*o - o + 2*o).\nAnswer: 3*o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 1\/3 (c) 1 (d) 5927 (e) -3 (f) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -342213 - -2331233?\nAnswer: 1434020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 4)*(-111*v + 2 - 15*v**2 + 3*v**3 + 111*v) in the form n*v + f + m*v**3 + z*v**2 and give z.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113 + -13?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**2 + 4*x + 3. Let g be p(-2). Let c be (-1)\/g + 7923\/9. Suppose b + 864 = 5*b - w, 4*b - c = -3*w. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -5 + 3*a - 3 + 2. Calculate the remainder when 17 is divided by j(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i - 1. Let j be h(-1). Suppose -8*t + 4*t + 656 = j. Let m = t + -115. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1775 + 2728. Let p = s + -525. Does 26 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*b**2 + 6*b**2 - 13 - 106*b**2 + 47*b**2 - 4*b**2 - 2*b.\nAnswer: -66*b**2 - 2*b - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gszavfv. What is prob of picking 1 a, 1 g, 1 v, and 1 f?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1, -2089, 0, -6 in descending order.\nAnswer: 0, -1, -6, -7, -2089","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tno when three letters picked without replacement from {k: 3, e: 1, y: 5, t: 1, n: 1, o: 2}?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 2:43 AM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26105122.\nAnswer: 2, 13052561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/167805371?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 7 = -3*c - 6, 3*c = 5*l - 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3b (base 12) in base 15?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(832) + 0)*3 + -3*-1*((sqrt(65)\/(sqrt(5) - sqrt(5)*-2))**2 + sqrt(13) + sqrt(13)).\nAnswer: -42*sqrt(13) + 13\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 21\/(-15))\/((-552)\/20 + 34)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46\/179 + -11691\/30430. Find the common denominator of -9\/2 and i.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2*j - 5, 7*z - 9*z = -3*j + 6. Suppose -2*c + z*w + 1168 = 0, -56 + 633 = c - 5*w. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 883 in 4\/3, 0.5, -18, 0.4, -0.4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -161 + 321. Suppose 19*n - 30*n + 55 = 0. Suppose -290 - s = -n*c. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49441\/8 + -6168. Let s(i) = 4*i**2 - 5*i - 4. Let y be s(-4). What is the common denominator of (-2)\/5 + 342\/y and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4429 is divided by 1408.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2 - 8*v - 19. What is the tens digit of h(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5874, -18980, -32086, -45192, -58298, -71404?\n\"Answer: -13106*f + 7232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 975979 a multiple of 210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v + 19. Let t be n(8). Let f = t - -49. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -7. Let o(z) = -5*z**3 + 38*z**2 + 17*z - 3. Let w be o(8). Put -3, w, -27, f in descending order.\nAnswer: w, -3, f, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -13. Let c be l + (-75)\/(-24) - 1. Let b = -9 + 4. Sort -0.5, c, b in descending order.\nAnswer: c, -0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 79 - 79 - 980*k + 335*k to q*k + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 7:59 PM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 439\/(-14)*2 + 1. Let k = 62 + w. Let u = 211 - 216. Which is greater: u or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(20\/8)\/5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(5\/9)*l)\/(l*l*l**3*l))\/(l**(-20)\/l*l*l**(-27)) assuming l is positive.\nAnswer: l**(383\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000599843 rounded to six dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00067478483 rounded to six dps?\nAnswer: -0.000675","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 192\/(0 - -3)*3. Let w = y + -18. Let k = 467 - w. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -367.7999157 - -3\nAnswer: -364.7999157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k**4*q**2 - 4*k**4*q - 4*k**3*q**2 + 81*k**2*q**2 + k**2*q wrt k.\nAnswer: -48*k*q**2 - 96*k*q - 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -517*r + 54 = -515*r for r.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 - k**2 + 3*k**2)*(2*k**3 - 4*k**3 + k**3) + 26*k**2 + 9*k**5 + 46 - 21*k**2 - 35.\nAnswer: 7*k**5 + 5*k**2 + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*t - 2642 = -3722. Solve -48*r = -40*r + t for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(20) + sqrt(20))\/sqrt(10)*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.031 and 2457.657?\nAnswer: 76.187367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -164180000 to the nearest one million.\nAnswer: -164000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4126786?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-4))\/(1\/8). Let w(q) = -836 + 10*q + 829 - 8*q. Let s(i) = -6*i + 21. Determine a*s(x) - 11*w(x).\nAnswer: 2*x - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {n: 2, s: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -13, 10, 55, 122, 211, 322?\n\"Answer: 11*s**2 - 10*s - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4*g**2 - 4 - 1 + 0 + g**3 - 7*g. Let o be d(-5). Let s be 2 - (-4 - -4)\/1. Solve -a - s = -z, 17 = a + o*z - 11 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8771520 and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -352?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*z + 8 = 0, -10*p - 20 = -15*p - 3*z. Let k(s) = -s**2 + 6*s - 8. Let r be k(p). Solve d + r = -2*m - 5, 3*d + 2*m = 1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.73 - -1.7678. Let y = -42.949 + 43. Let s = h - y. What is s rounded to 3 dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10026?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5407 at least as big as 5407?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15375 and 10264965?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 42138937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 59*s**2 + 4 to g*s**2 + u*s + l and give g.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 2*w**2 + (-2*w - 13*w + 2*w)*(13*w + 10*w - 12*w).\nAnswer: -141*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 212\/5? (a) -2\/13 (b) -1\/5 (c) 745\/6 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144655*s = -4*m - 144657*s - 4, 0 = -m + 4*s + 26 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -0.3, 0.5, 3\/8, -10?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lldd when four letters picked without replacement from llllldlddl?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 16, 0, -2\/3, 3?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 - (3 + -5 - 34). Suppose -32*j = -m*j + 16. Suppose -6\/7*z + 0 + 3\/7*z**j = 0. Calculate z.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) -7 (c) 1\/3 (d) 0 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.74678 centuries in years?\nAnswer: 6974.678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7932.\nAnswer: 2, 3, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 3:54 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 5*v - 2*d, 12 = -20*v + 21*v + 5*d - 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, b: 4, q: 3}. Give prob of sequence qw.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 6, 0, -6.\nAnswer: -6, 0, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 212d4 (base 16) in base 3?\nAnswer: 20220102001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 674831*q - 1250263*q + 575432*q + q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 5*y**2 - 15*y - 7. Let z be s(-7). Suppose -1120 = -2*k - 2*p, 0 = k - z*k - 3*p - 548. What are the prime factors of k?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.399003008 - -0.399. What is z rounded to 7 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f + 4. Let a(t) = -3. Let g(u) = -4*a(u) - 3*x(u). Let k(i) = 31*i. Determine k(g(c)).\nAnswer: 186*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 451096602 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_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: Calculate the greatest common factor of 43942 and 254.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x + 3. Let p be y(3). List the prime factors of 4*(1 + p\/12).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/11231 and -37\/7?\nAnswer: 78617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 36915 (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 8*a**2 + 17*a - 14. Let y be h(9). What is the highest common divisor of y and 1711?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of p**2\/2 + 970. Let f(c) = -1. Let i(g) = -2*g**2 - 198. Let r(b) = 4*f(b) + i(b). Calculate r(d(s)).\nAnswer: -2*s**2 - 202","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15195 is divided by 28?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-4 + -1) - (32 - 15)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 15) to base 14\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.322397869 to three dps.\nAnswer: -0.322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 16.4412.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3*k - 942 = 0, -21*l + 2*k + 1280 = -17*l. List the prime factors of l.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -282*z**2 + 306*z**2 + 4 - 6 - z**3 to the form u + n*z + k*z**2 + v*z**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 4\/9, -1\/5, 0.636?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 less than -343.6399?\nAnswer: -355.6399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, g: 1}. Give prob of picking 2 s.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of 9991*a**4\/4 + 17*a**3\/3 + 11*a**2\/2 + 2*a + 143. What is the third derivative of r(x) wrt x?\nAnswer: 59946","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 72098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47539?\nAnswer: 137, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(9072)*1 + sqrt(9072))*2 - (sqrt(9072) - (sqrt(9072) + -2)*-4 - sqrt(9072) - sqrt(9072))))**2 + 1.\nAnswer: 2304*sqrt(7) + 36545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 3. Let z be 14\/24 - (-1)\/(-3). Let n be 35\/(-11) - (-6)\/33. What is the nearest to z in m, -4, n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 193456 (base 10) to base 9.\nAnswer: 324331","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 142, 282, 424, 568, 714?\nAnswer: 862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3023 + -112?\nAnswer: -3201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 831*r. Let b(z) = -z + 19. Let g(q) = 14*q - 247. Let c(t) = 13*b(t) + g(t). What is k(c(s))?\nAnswer: 831*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16025 is divided by 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 798 a factor of 351937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, u: 5, x: 2, z: 3}. Give prob of picking 1 x and 1 z.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 731*i = 288*i - 730*i + 90321 for i.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) + (sqrt(14) - sqrt(84)\/(sqrt(6) - -1*sqrt(6))) - sqrt(14))\/sqrt(7)*2.\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) - -5*sqrt(210)\/sqrt(6)) + -6*sqrt(280)\/sqrt(8) + sqrt(35) + sqrt(35))\/(sqrt(135)\/(-1*sqrt(3)) + (sqrt(1125)*-1 - sqrt(1125))).\nAnswer: -2*sqrt(7)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 308424, 308422, 308420?\n\"Answer: -2*i + 308426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 223\/3402067 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 143 + 3?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 10:08 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4*t**2 + 6*t + 6. Let d(p) = p - 7. Let u be d(13). Let x(c) = -c**2 + c + 1. Let j(g) = u*x(g) - y(g). Let s(f) = 4*f. Give s(j(i)).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15305 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 a when four letters picked without replacement from fftbatff?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 29 - 1. Let q(b) be the second derivative of -8*b**3\/3 + 3*b**2\/2 + 22*b. Is 25 a factor of q(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.074 in -1\/15, 10, -1\/3?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12105 = 9*r - 2970. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3362 is divided by 239?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 53.3 in -2\/7, 0.4, -14, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5361 = l + 3*g + 1473, 0 = 4*g + 12. Suppose 5*r - 3*o - l = 0, -784 = -r + 15*o - 19*o. Does 30 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/2*4*32\/16.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-6340)\/1902*108\/(-105)\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2323422 + 8*z**2 + 6970945 - 2324100 - 2323423.\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v**2. Let h(l) = 4210187*l + 4. Calculate h(w(j)).\nAnswer: 12630561*j**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/288604426 or -1?\nAnswer: -3\/288604426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/6750 and 191\/83486700?\nAnswer: 417433500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 9*l - 116 = 0. What is the greatest common divisor of l and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 9*y**2 + 10*y + 2. Let b be h(10). Suppose b*v = -2*v + 12. Suppose 3*c - 9 = 0, -5*a + c = -v*c - 178. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, -0.5, -2\/7, 0.4, 19\/16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 60365 less than 910181.2?\nAnswer: 849816.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/4 - 1039*p\/2.\nAnswer: -p*(p + 2078)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 124*m**4 + 11*m**2 - 3*m.\nAnswer: 2976*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 56853 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: Expand (15*x + 34*x - 11*x)*(4 + 2 - 4)*((-1 + 1 + 1)*(2 - 7 + 3) - 2 - 1 + 4 + 2 - 1 - 2 - 1 + 2 + 0 + 2 - 2 - 2 + 2 - 1 + 0).\nAnswer: -152*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 16*n**2 - 17*n - 6. Let q be z(15). Let p = -30 - q. Let j be 92\/(-69) + 2\/p. Which is bigger: -1\/28 or j?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -43*s - 10. What are the prime factors of y(-3)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4469701 or -4469628?\nAnswer: -4469701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -5*w**2 - 29*w + 8. Let z be b(-6). Solve -2*v - 4 = z*t - 0*v, 0 = 5*v - 5 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4*g = -8, 2*q - 6 = q - 3*g. Let k = q + 2. Solve -d - k + 8 = 5*n, -2*d = 3*n - 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00106887836 to 4 dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2387, 4787, 7189, 9593, 11999, 14407?\n\"Answer: v**2 + 2397*v - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/20, 0.047, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 885677.\nAnswer: 13, 193, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l - 7. Let p be s(-4). Let a(j) be the first derivative of 2\/3*j**2 + 2\/3*j - 2\/15*j**p + 2 + 0*j**3 - 1\/3*j**4. Factor a(f).\nAnswer: -2*(f - 1)*(f + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2448\/5 + 490. Let z be (-6)\/(-16)*4\/6. Which is the nearest to -1? (a) h (b) -3\/2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and -0.034.\nAnswer: 1.966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, n: 1, f: 9, h: 1, o: 5}. Give prob of picking 1 l and 1 h.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 55, 124, 233, 388, 595, 860?\nAnswer: 1189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.048 - 0.13. Let z = 0.278 + g. Is 3 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66838868.\nAnswer: 2, 2791, 5987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 3*r - 618, -3*r - 1006 = -8*r + 3*p. List the prime factors of r.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 57650650 to the nearest 100000.\nAnswer: 57700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 338699*s - 167667*s - 161202*s to the form d + j*s and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2\/7 + 28506*g\/7 - 171144\/7.\nAnswer: 3*(g - 6)*(g + 9508)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 11:03 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 6*m**2 - 6*m - 10. What is the tens digit of o(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -285 (b) 131 (c) -81\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20986687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 71 and 5751.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/5)\/(1140\/7125).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h. Let m(k) = 2*k**2 + 5*k - 3630. Give v(m(z)).\nAnswer: -4*z**2 - 10*z + 7260","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1695, 1890, 2085, 2280?\nAnswer: 2475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 129 - 127. Is ((11295\/(-10))\/(-9))\/(v\/12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -495253*y - 4*s = -495252*y - 15, 0 = 4*y - 2*s + 12 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 198, 422, 640, 852?\nAnswer: 1058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.1 + 1.9. What is the third smallest value in -5\/4, i, -8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 20 = 3*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 less than -43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or 4\/33?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(325))**2 + 3.\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 854\/(-80) - (-64)\/80 and -19\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 243105?\nAnswer: 3, 5, 19, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -12 - 96*k - 13 + 6. Let v be h(-11). Suppose -x + 4*y + v = 0, x + 2084 = 3*x + 2*y. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = -33*n + 36*n + 15*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6661 and 0.3?\nAnswer: 1998.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 13, -5, -2.8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1113 + 1114. Which is the nearest to x? (a) 0 (b) -8 (c) -2\/7 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k + 12. Let p be z(-5). Suppose q - 2*v = -4*q + 20, 5*v - 4 = -q. What is the third derivative of -3*d**p + 109*d**q - 109*d**4 + 11*d**5 wrt d?\nAnswer: 660*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 0 = -d - 2, 0 = 4*g + 20. Let k be 102\/14 + (-16)\/56. Which is smaller: d or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 41 - -36441?\nAnswer: 36482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(171) + -2)*-3)*6)**2.\nAnswer: -5184*sqrt(19) + 57708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 981622 is divided by 2789.\nAnswer: 2683","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 + 37. Suppose h*f = -2*t + 80, -t + 6 = 3*f - 29. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 20*g + 6. Suppose -2*l + 9 = -3*t, 2*t - 7*t = 15. Let k = 1 + 6. Let f(h) = -k*h + l + 1 - 3. Calculate -17*f(r) - 6*n(r).\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - i = 0. Suppose -4*q = -k + 16, 2*k + 12 = -3*q - i*q. Suppose -3*x = -s - k - 4, -5*s + 40 = 5*x. Is 5 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s**3 + 2040*s**2 + 277440*s + 12577280 = 0. Calculate s.\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 5*y. Let a(z) = -1074*z**2. Determine q(a(w)).\nAnswer: -5370*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y + 16. Let o be m(6). Suppose 3*x + 4 = 2*j + 4*x, -o*x + 4 = 4*j. Let s(q) = q**3 - 4*q**2 + 4*q - 2. Give s(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-5) + (-32)\/55. Let a = 0.043 - 0.713. Let b = 1.07 + a. What is the second smallest value in b, -2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20672882.\nAnswer: 2, 29, 101, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**5 + v**5 - 4*v**5 + (2 - 5 + 1)*(v**5 - 2*v**5 + 0*v**5) + 689 + 4*v**5 - 689 + (-v - 5*v + 4*v)*(-4*v**4 + 2*v**4 + v**4).\nAnswer: 6*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3302230341 (base 5) to base 14.\nAnswer: -d20b17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 2*p**2 - 9*p - 4. Let h(b) = 16*b - 3. What is the remainder when h(5) is divided by d(5)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r**3 + 8*r**2 - 15*r - 2. Let l be a(5). Let j = -245 - l. Solve -5*w - j = -4*v - 2, -3*v + 15 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*v - 2*n, 4*v - 2*n - 16 = 3*n. Let g(j) = j**3 - 3*j**2 - 4*j + 2. Let d be g(v). Suppose l + l - 12 = t, 4*t + d*l + 8 = 0. Sort t, -0.4, 0.5.\nAnswer: t, -0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o - 13 = 15. Find the third derivative of 2108*w**4 + 103*w**5 - 2108*w**4 - 35*w**o wrt w.\nAnswer: 6180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j + j**2 - 2*j + 0 + 0 + j**2 + (-2*j + 0 + 0)*(-1 + 2*j + 1) + 19*j + 3858 - 7726 - j**2 + 3859.\nAnswer: -3*j**2 + 19*j - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1141661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 652561.303 to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 9*b - 17 - b**2 + 10 + 1. Give i(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 11 - 617*r + 627*r.\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26495718?\nAnswer: 2, 3, 4415953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1078 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - l)*(-135*l**2 + 135*l**2 - 707*l**3).\nAnswer: 707*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of x**3 + x**2 - x + 6. Determine h(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.6 rounded to the nearest integer?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 38*p + 191 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 + -13. Let h = j - -1. Suppose -4*u + h = -0*u. Solve -u*w = 3*a - 9, 3*w + 2*w - a + 20 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9006652 divided by -9343\nAnswer: 964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 5*v + 49 = 0, -2*v + 4 = -2. Let g be (-17 - r)*(7 + -1). What is the common denominator of -2 - 237*(-1)\/g and 16\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/1688 and (1 - (-12390)\/(-336)) + (-3)\/(-8).\nAnswer: 1688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*w + 63 = 178*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1314667 a multiple of 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 1043506 and -27.91321.\nAnswer: 1043478.08679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1))**35\/(f\/((f*f**(-6\/7)*f*f)\/f*f)*f*f\/f**(-1\/8)))\/((f\/(f**(-6)*f)*f*f**(-3\/11))\/(f**(-2\/5))**(-8)) assuming f is positive.\nAnswer: f**(-121689\/3080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 14*d**2 + 9. Let g(v) = -5*v**2 - 3. Give -11*g(m) - 4*p(m).\nAnswer: -m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1625475 (base 8) to base 11.\nAnswer: -2a0a90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -688 - -688.964. Let r = -0.464 + k. Sort r, 4, 1\/5, 5\/3 in decreasing order.\nAnswer: 4, 5\/3, r, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-123)\/(-369)*((-60)\/(-28))\/(-5)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = -49*v + 246 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 0*d = 340. Calculate the lowest common multiple of d and 24.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 7456*y + 82553. What is k(-11)?\nAnswer: 537","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 286\/72 + (-2)\/(-8). Let i = -40\/9 + z. What is the nearest to i in 4, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - 1)*(-7883 + 344*v + 7883)*(0*v + 0*v - v) in the form k + d*v**2 + j*v and give d.\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -r + 1 + 392*r**2 - 3 - 2*r**4 - 395*r**2 + 0*r in the form w*r**3 + l*r**2 + u*r**4 + q*r + y and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -32 in 1\/5, 3.2, 7, -42, 3\/4?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 208571771 to the power of 1\/3, to the nearest integer?\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 30*b**3 + b**2 - 1. Let o = 2 - -4. Let q be (o\/(-15))\/(8\/(-20)). Give v(q).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, -7\/5, 0.5, -10, 2\/11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/9, -1\/4, -0.1, -7 in descending order.\nAnswer: 4\/9, -0.1, -1\/4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*l + 37*l - 210 - 30 = 0 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -97.079 - -97. Let k = -0.036 - i. Let a = k - 0.0477. What is a rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 340935911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75 and 699285?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4 - f**3 + 6*f**2.\nAnswer: -f**2*(f - 2)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -75*q - 374. Let w be y(-9). Calculate the greatest common factor of 35 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = -909*j + 896*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 3. Find the second derivative of 2*t - 8*t - t**c + 4*t**2 + 0*t wrt t.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*w**2 + 85*w - 131 wrt w.\nAnswer: -20*w + 85","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 3 - (2 + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7 - 4.3. Let a = j - -5.3. Sort 2\/5, 1, a.\nAnswer: a, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97007 is divided by 172.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 5, 1116 in descending order.\nAnswer: 1116, 5, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1048*s**3 + 3213*s**3 + 1145*s**3.\nAnswer: 5406*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 9. Let r = 7 - 9. Let a = 5 + -9. Put n, a, r in descending order.\nAnswer: n, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 10) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2171.2 rounded to the nearest ten?\nAnswer: 2170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -154*x + 12012. What is p(78)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -2\/6433?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13836?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (4*sqrt(1573) - sqrt(1573))*1 - (-4 + sqrt(1573)*-1 - (sqrt(1573) + 2*-1*sqrt(1573))**2).\nAnswer: 44*sqrt(13) + 1574","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c**2 + 9*c - 9*c + 5*c**3 as r*c**3 + f*c**2 + w*c + q and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 228175075?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of 5*d**4\/4 - 5*d**3\/3 + 9*d - 53. What is the derivative of n(h) wrt h?\nAnswer: 15*h**2 - 10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 6 - 2 + 20*d in the form m + t*d and give t.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -6*r**2 + r - 3. Let k be a(-1). Suppose 15 = 4*t - k. Is 5 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7484\/5 + -44857\/30. Calculate the common denominator of -59\/28 and l.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9347 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y*y\/(y**(6\/7)*y)*y*y**(-15)*y assuming y is positive.\nAnswer: y**(-83\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 43954 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.04 (b) 0.2 (c) -5 (d) 3 (e) 1\/10 (f) -1\/3 (g) -8436\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p\/p**20))*p*p*p**(-1\/41)*p)\/(p**(-32)*p*p*p**(-6)\/p) assuming p is positive.\nAnswer: p**(860\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**4\/13 - 1086*m**3\/13 - 160876*m**2\/13 - 3534600*m\/13 + 7721424\/13 = 0.\nAnswer: -258, -29, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + (-26)\/8)\/(6\/16). Let x(o) = 6*o**2 + 3*o - 17. What are the prime factors of x(s)?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**2 - 46 + 2*c**3 + 46.\nAnswer: 2*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 14. Let q(s) = -y - s - 1 + 1. Let n(l) = 55 - 33 - 9*l - 26 + 4*l. Determine -n(u) + 6*q(u).\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2975989033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -34*i**2 - 3*i + 4. Let z(o) = 35*o**2 + 2*o - 3. Let w(d) = 2*j(d) + 3*z(d). What are the prime factors of w(-1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 - -41. Solve g + p = 6*g, -3*g + 5 = -x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 5*f**2 - f - 7. Let s be i(5). Let c = s - -43. Is 19 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 4) + 14 + (15 - 40) - -5 - -95\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 21 + 159489248\nAnswer: 159489269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(-6)\/36 + (54\/(-351))\/(370\/(-65)).\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 0 - -6)*2. Suppose -7 = 4*m + 13. Let l = m - -7. Solve 0*d + u = l*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/2*5\/35.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 84\/126 + 3227\/(-3). Let g = p + 7612. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from fgff?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -4*l**3 - l**2 + 1. Suppose 2 + 18 = 4*s. Let b(k) = -2*k - 1 + s - k**2 + 4*k. Let m be b(3). Calculate v(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22873250143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 707*r - 698*r = 81. Suppose 4*m = -r*m + 26. Factor -5\/8*b**m + 0 - 1\/8*b**3 - 3\/4*b.\nAnswer: -b*(b + 2)*(b + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 284 + -5 - 3. Suppose 0*h - u + y = h, -2*h - 3*u = -558. Is h a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9 (b) -2\/5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 7*w**2 - 6*w - 7. Let v be b(8). Let t(z) = -z + 16. Let s = 306 + -295. Let m(k) = 3*k - 47. Let g(d) = s*t(d) + 4*m(d). What is g(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254358619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b - 6. Let r be l(4). Find the first derivative of 3*i**2 - i**2 + 8*i**3 + 9 - 2*i**r wrt i.\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -140 - 10. Does 29 divide 200\/i + (-1034)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-1))\/(9\/12). Suppose -2*z - 3*z - 253 = o, 0 = -3*o - 9. What is the units digit of z\/q + (-2)\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 2:03 PM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 - 566 = 28*l - 166 + 943 for l.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 15. Let p = l + 8. Let f be 4\/(28\/8*2). Which is the nearest to p? (a) -5 (b) f (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 199, 404, 613, 826, 1043?\nAnswer: 1264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 1:09 PM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -289, -1333, -3155, -5779, -9229, -13529, -18703?\n\"Answer: -4*m**3 - 365*m**2 + 79*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((6 - 5)*(3 + -4))\/391. Are b and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 204*w + 45. Let h(o) = -4693*o - 1045. Let r(c) = -5*h(c) - 114*l(c). Let d(x) = 13*x + 6. Calculate -95*d(z) + 6*r(z).\nAnswer: 19*z","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7334, -7333, -7330, -7325, -7318, -7309?\nAnswer: -7298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -1. Suppose 10*z = 9*z + 6. Let u(d) = 56*d - 119*d + 61*d - z. What is -8*b(c) + u(c)?\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -2a913?\nAnswer: -2a911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 12*r - 178. Let b be q(18). Suppose 3*z = -4*o + 78, -37*z - 4*o = -b*z + 42. Suppose 4*d - 43 = 5. Calculate the highest common divisor of z and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + -3 + (-4 - 7) + 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -98 and -42.8737.\nAnswer: 4201.6226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -5.96. Is 3 bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*s - 15*s - 12*s + 95*s + 1995 - 15*s to the form y + l*s and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 13 = -37. Let r = -93 + 94. Calculate the common denominator of (r\/(z\/39))\/(-1) and 61\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13144950 by 262899.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.448 or -718?\nAnswer: -1.448","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/329?\nAnswer: -1\/329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04131581 rounded to 5 decimal places?\nAnswer: -0.04132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 s when two letters picked without replacement from pstppppsppsptppptpp?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 36? (a) 5 (b) 2 (c) 0.3 (d) 1\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -3 - (-2 + 10 + -15).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 + 0. Let j = 1127\/3 - 375. Which is the nearest to 2? (a) j (b) 1\/3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = 6*n - 11*n - 40, -2*u + 3*n = -22 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -7*q**3 + 19*q**2 + 3*q - 9. Let b be i(3). Let z be ((-16)\/b)\/(4\/72). Solve 0 = -5*f - 2*p + 24, -8*f - 2*p + z = -5*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/70 and -41\/3542.\nAnswer: 17710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pvhcf. What is prob of sequence phv?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 34815344 divided by 134?\nAnswer: 259816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2 + 2*d - 4 + 1. Let r(z) = -5*z + z + 2 + 7. Suppose 4*a - 5*v - 4 = 0, -6*a + a + 4*v + 14 = 0. Give a*r(h) + 11*x(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(605) + 0 - sqrt(605))**2 + -4*(sqrt(605) + sqrt(605) + -1 + sqrt(605))**2 - 2*(-5 + -2*sqrt(605)).\nAnswer: -21774 + 308*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10123.25 rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 30 = 2*z, z - 3*z - 4*u = -34. Suppose -5*h - 3*h + 664 = 0. Let j = h - 60. What is the remainder when j is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 9*o + r = -9, 4*o - 2*r - 6 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 1363578?\nAnswer: 136357.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 432825 by 86565.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i - 4. Let o(u) = 2*u + 3. Let s(h) = -4*o(h) - 3*t(h). Let q(b) = 12*b - 8. Let f(l) = -l + 1. Let r(v) = 8*f(v) + q(v). Give s(r(g)).\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (959\/(-1918))\/(-1*-1*3\/180)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7500.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3451 is divided by 572?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*k**2 - 12 + 25*k**4 - 3 - 2*k**3 - 24*k - 28*k**3 - 5*k**5 + 59*k.\nAnswer: -5*(k - 3)*(k - 1)**3*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sysff. Give prob of picking 2 f and 2 s.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 294320509, 588641016, 882961523, 1177282030?\n\"Answer: 294320507*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -322031, -321813, -321597, -321383, -321171, -320961, -320753?\nAnswer: -320547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 55249 - 29078 = -2*w, 0 = -4*w + 6*i + 168642. Does 45 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - (-2 + 5)) + (-4 - 1 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/4)\/(4\/(-16)). Let p = -43 + 115. Suppose -x*f = f - p. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 2 v, and 1 x when four letters picked without replacement from {x: 1, c: 1, l: 5, v: 3, g: 2, k: 3}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(50\/44) - 4.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-130)\/3)\/1)\/(28\/(-42)). Suppose -5*g = -6*g - h. Let k = 91 + g. Is k a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3*h = -11. Suppose 0*z + z + 15 = -2*g, 0 = 4*z + 5*g + 45. Calculate the lowest common multiple of (-7)\/(-1) + (-4 - z) and h.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/4)\/((-34)\/(-51))?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qm when two letters picked without replacement from luuqbmublb.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3\/7, 0.3, -1\/5, 2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*u = -6. Suppose -4*h + 62 = -6*h + u*p, 4*h + 115 = -5*p. Let m be (1\/(-3))\/(5\/h). Let o(w) = 2*w - 3. Give o(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93 = q + 28*q - 226 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -1, -8, -2, 264, -3 in decreasing order.\nAnswer: 264, 3, 1, -1, -2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/4 and -29\/51702.\nAnswer: 103404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3866, 7663, 11456, 15245, 19030?\n\"Answer: -2*j**2 + 3803*j + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 209453574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 3*f - r, -4*f + f - r + 44 = 0. Let c = -341 + 341. Solve 6*k - 5*k + 5*s = 17, c = 4*k - s + f for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 5*x + 2, 31*x = 33*x. Let c be ((-88)\/(-20) - -2)\/(g\/10). Solve 0 = -2*h + 42 - c for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 4*s**2 + 5 - 24*s - 2 + 27*s. Let y be p(-1). What is the first derivative of -y - 14*z**3 - 1 + 4*z**3 + 24*z**3 wrt z?\nAnswer: 42*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -126, -3, 3, -523, -5, 0, 1.\nAnswer: -523, -126, -5, -3, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((1*1*sqrt(704)*-4 - 3*(sqrt(704) + 2)*1)**2*5 + -4).\nAnswer: -517968 - 10080*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 99 and 63?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18415997*g + 11*g**2 - 28*g**2 + 18415997*g.\nAnswer: -17*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 222 - 231.88. Let i = n - -5.09. What is i rounded to one decimal place?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32374?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*r + 29. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z - 3. Let r be y(4). Suppose -4*t**r + t**5 + t**4 - 4*t**4 = 0. Calculate t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/4*(-8)\/6*536\/(-1005).\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8280437mg in micrograms?\nAnswer: 828.0437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -1\/4*c**4 + 11*c + 4*c**3 - 1 - 9\/2*c**2. Calculate the smallest common multiple of 36 and m(11).\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/4*(6 - 54\/3). Suppose 4*q + f + 2 = 0. Let x be (-3*6\/9)\/(q\/4). Solve 0*l = 2*l - x for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 151 + 5?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3082*y**4 - 1390*y**3 - 166645421*y**2 wrt y?\nAnswer: 73968*y - 8340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6ad + -2?\nAnswer: -6b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*i + 8. Let f = -5.525 + 0.525. Which is the nearest to 1\/4? (a) f (b) 0.03 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x\/x**(2\/7))*x\/x**(-2\/5))**43*(x**(-1\/4))**(-1\/8)*(x\/(x*x**1\/x*x))\/x**(2\/3) assuming x is positive.\nAnswer: x**(382537\/3360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*2*sqrt(72)*-1*5*-3.\nAnswer: -180*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2879 or -2886?\nAnswer: -2879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 787, 4, -3\/8?\nAnswer: 787","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -5*c**4\/12 - c**3\/2 + 3*c**2\/2 + 39*c + 7. Let h(q) = 5*q**2 + 4*q - 3. Calculate -3*h(z) - 4*x(z).\nAnswer: 5*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y**3 + y**3 + 6*y**3 - 14*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 61. Suppose h = 2*a + 4*a. Let o be (-2)\/2*(1 - (-12)\/(-6)). Calculate the greatest common divisor of a and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 99771315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f - f + 4*f)*(-3 + 3 + 3)*(0*f**3 + 3*f**3 - f**3) - 151*f**4 - 71*f**4 - 80*f**4.\nAnswer: -296*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 21585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 739?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 6 + 10 = 0. Let -t**4 - p*t**2 + 3*t - 13*t**3 + 8*t**3 - 3*t = 0. What is t?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -11*t + 47. Suppose -2*h + 3*h = 8. Let u be r(h). Is -42 at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(88) - sqrt(88))*2)\/(sqrt(16)\/sqrt(18)).\nAnswer: -18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-4)*-1*26. Let i = y - -78. Suppose -r + 5*u + i = 0, 0 = 2*r - 4*r - 3*u + 13. Is 14 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/21, 69, 0.4?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c + 4*u + 10, -50 + 52 = c - u for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -240 (base 7) to base 14\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7 - 1 - 6) + 51100. Round v to the nearest one thousand.\nAnswer: 51000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 17285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 16.2. Let u be (-10)\/(-18) - (-4)\/(-6). Sort v, 2\/5, u in decreasing order.\nAnswer: 2\/5, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -411*v - 4. Let l = 11 - 12. Is r(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2413 = -14*k + 2809. Let w = 471 - k. What is the smallest common multiple of w and 182?\nAnswer: 1274","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 5751?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 36 = 24 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 2*t + 10. Suppose -t*o = -4, -3*b = -0*b + 2*o - 19. Let s = 9 - b. Solve -4 = 4*a + s for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2382174, -4764399, -7146624, -9528849, -11911074, -14293299?\n\"Answer: -2382225*j + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 6*h + 5. Let s be x(-1). What is the units digit of (s*3)\/((-12)\/176)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -11*w + 950. Let h(b) = 4*b - 474. Determine 5*h(o) + 2*k(o).\nAnswer: -2*o - 470","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 9 + -1 + 10 + -2 + -18.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**3 - 52*w**2 + 19 - 10 + 0*w**3 - 11 as k + d*w**3 + m*w**2 + t*w and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*k**2 - 15*k**2 - 7*k**3 - 6 + 15*k**3 + 27*k**3 + 6.\nAnswer: 35*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-15)*(-12 + 765\/60)\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67677612 divided by 331753?\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 441*n + 5. Let q(k) = -221*k - 2. What is 5*q(v) + 2*t(v)?\nAnswer: -223*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 13*v**2 + v + 8. What is c(-13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.695665 milligrams in tonnes?\nAnswer: 0.000000004695665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2066 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t - 5. Let j be x(-4). Let b(k) = -k**2 + 7*k - 3. Let d be b(4). Let a(z) = z - d - 14*z + 2. Let y(l) = -6*l - 3. What is j*a(h) - 7*y(h)?\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**2 - 15*i - 23. Determine q(-4).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*r**3 - r**3 - r**3 + 2*r**3 - 4*r**3 + r**3 + (-2 + 2 - r**2)*(0*r - r - r) + 0*r**2 + 3*r**3 + 0*r**2.\nAnswer: 7*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/8)\/v*v)\/v)**(-34) assuming v is positive.\nAnswer: v**(153\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 4*q**2 + 2*q + 1. Suppose -2*k = 12 - 4. Let f be w(k). Let i = -4 - f. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1017127 (base 10) to base 6.\nAnswer: -33444531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from xxxii.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -5901548 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*a - 744 = 176*a - 266*a + 1258 for a.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2 + (0 + sqrt(847))*-4 - (-1*sqrt(847) + -4)*-1*-1)**2.\nAnswer: -264*sqrt(7) + 7639","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*w + 15*w = -0*w. Suppose 3*g - 7 = -m, -3*m + 2*m - 8 = -2*g. Suppose -t + 2*p - g = -0*p, -p + 1 = w. Is t at least as big as -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4*i**3 - 5*i**2 + 7*i + 4. What is the remainder when r(3) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9188, 18380, 27572, 36764, 45956, 55148?\n\"Answer: 9192*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -1\/30*s**5 - 21*s**2 + 0 + 1\/12*s**4 + 1\/3*s**3 - 1\/60*s**6 + 0*s. Determine l, given that f(l) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1988 - 1990. What is the fourth biggest value in 3, -33, s, -1?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 20 = 2*h - 5*f, -2*f - 4 = 0. Suppose 4*u = l + 90, -50 = -6*u + 4*u - h*l. Let k = u + -8. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1354 divided by 2.\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181*c + 90*c + 2*c**3 + 91*c - 3*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 7, -5458?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 616207 is divided by 417?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317448 is divided by 158714.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*v + 4308 + 1278. Let i be (v\/27 - 2)\/(-2). Let x = i + 617\/18. Find the common denominator of 121\/20 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/3 (b) -0.056 (c) -2\/9 (d) 0.3 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 601*l**2. Let a(x) = 13*x - 459. Let r(h) = -3*h + 102. Let u(q) = -4*a(q) - 18*r(q). Give u(n(i)).\nAnswer: 1202*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5*s = -3, -5*s + 0 = -5. Suppose 5*p = -4*y + 420020, 0 = -p - l*y + 133103 - 49093. Round p to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83376?\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-1680)\/(-480)*(-5)\/(70\/184)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {h: 4, f: 6, j: 1, a: 3}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 43 - (1 - (15 - (4 + 5)) - -6)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 1024?\nAnswer: 1034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/7)\/i)**(2\/13)\/(i**25*i*i**(14\/3)*i) assuming i is positive.\nAnswer: i**(-8675\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -3\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 20994*a - 441310. What is z(-21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 15*g. Let w be z(15). Suppose -3*n = 3*x - 15 - 0, 3*n - 4*x - 50 = w. What is the remainder when n is divided by 1\/(-5) + 72\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 91955 and 22525?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-9212)\/931 - (-1 + -9)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 2:10 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 + -20. Suppose -s*r - 11 = -5*q + 19, r = -q. Factor -7*o**2 + 2*o + 16*o**2 + o**4 + 3*o**q - 2*o**4 - 3*o**4.\nAnswer: -o*(o - 2)*(o + 1)*(4*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 68 + -66. Find the common denominator of 6 + 745\/(-100)*z and -87\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, r: 1, c: 6, k: 5, j: 2}. What is prob of picking 2 c and 1 j?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 1\/3 + (-1106659)\/(-753)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.082833 - 0.0664468. Let p = q + -0.0163. Round p to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (3 + (5 - (-12 - -4)) - -8)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3669079?\nAnswer: 211, 17389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -16*g**3 - 14*g**2 - 3*g + 26. Let h(j) = -7*j**3 - 7*j**2 - j + 13. Let m(y) = -7*h(y) + 3*x(y). What is the units digit of m(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 - 4 + 4)*(-8 + 7*l**2 - 12*l**2 + 7*l**2).\nAnswer: -2*l**4 + 8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -139*o + 10282. What is x(74)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 92, 133, 170, 203, 232, 257?\nAnswer: 278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7801 = 8*s - 17*s + 3935. Calculate the lowest common multiple of s and 28.\nAnswer: 9128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -236*l**2 + 14158*l + 110. Determine j(60).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 13*k - 66 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of h**6\/120 + h**5\/30 - h**4\/4 - h**3\/2 + 2*h**2. Let p be g(-4). What are the prime factors of 1*(-2 - p - -2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*j + 0)*(2 + j - 2)*(-4 + 5 + 6).\nAnswer: -14*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 + -29. Suppose 0*q + 2*q = y - 1, -2*y + w*q + 4 = 0. Suppose 8 = -3*o - 1, 0 = 4*z - y*o - 9. Solve 3*d + 2*u = -6 + 19, 3*d + 5*u - 10 = z for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 25.471593 months?\nAnswer: 0.00212263275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/212 and 9\/530?\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/2)\/(6\/8). Suppose i - o = 6. Let h = -51 + 54. Solve h*g - 7*g - i = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-1))**40\/(((y*((y*y**(-2\/3)\/y*y)\/y)\/y)\/y)\/y**(-3\/2)))**(-28))**(-27) assuming y is positive.\nAnswer: y**(-30114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 12) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -135 and 1024.\nAnswer: -138240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35 + 34.12. Let o = 223143 + -223142.120081. Let l = o + f. What is l rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 + 16)*(4\/150 - 0)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -415121414 - 13?\nAnswer: -415121431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 42, 58, 80, 108, 142, 182?\nAnswer: 228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 divided by -140960.\nAnswer: -7\/28192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9453836 or 8\/5?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/(sqrt(4) - -4*((-1*sqrt(4) - sqrt(4)) + sqrt(4))))\/(sqrt(35)\/(sqrt(100)\/sqrt(5) + sqrt(20) + sqrt(20))).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z = -3*h - 29, 3*h - 3*z - 26 = 7*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.196 and 4.\nAnswer: -0.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1225505\/22)\/5 + 3. Let r = 11142 - v. Calculate the common denominator of (-23 - -12)\/(4\/(-18)) and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -121 - -243\/2. Let z be (-1 - -1) + (-4)\/(-26). Let v = -29 + 29.4. Which is the third smallest value? (a) v (b) z (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -l + 19. Suppose a - l*t = 8 + 7, 0 = -5*a - 5*t. Suppose -a*i + 3*u + 147 = -0*i, -2*i = 5*u - 112. What are the prime factors of i?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (137\/(-4110))\/((-14)\/(-18))*(-25)\/(-15).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a - 4*p + 30, -13*a - 309 = -p - 231 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -202226, -808787, -1819724, -3235037, -5054726?\n\"Answer: -202188*a**2 + 3*a - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**2. Suppose 18*t = 14*t + 20. Suppose v - t*f - 31 = -1, -54 = -2*v + 4*f. Let h(y) = 16*y - 81*y + v*y - 4*y. Determine h(k(z)).\nAnswer: 88*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223*l - 130*l = 112*l - 76. Solve -l*x - 12 = 3*y, 5*x - 2*x = 4*y - 34 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 4*j - 497. Suppose -72*d + 90 = -j*d. What are the prime factors of d?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-153)\/6)\/((-30)\/(-20)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v. Let u = 178 - 178. Let n(z) be the first derivative of -4 + u*z + 1\/2*z**2. What is n(h(d))?\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 8*f**2. Let s(h) be the first derivative of -4 - 1\/2*h**2 + 0*h. Give n(s(l)).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 5 = -5*k, -8*k + 4*k = 4*y + 12 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 4*f - 53 = -f, 105 = -5*l + 4*f. Let t = l + 17. Let m be -2 + 20*(-1)\/(-11). Which is bigger: t or m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5394533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65767, -526173, -1775845, -4209415, -8221515, -14206777, -22559833, -33675315?\nAnswer: -47947855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1528307 is divided by 44950.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(-8)*b\/(b*b\/(b*b\/(b**(-13\/3)*b))) assuming b is positive.\nAnswer: b**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 150.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2137.76318 rounded to 1 dp?\nAnswer: 2137.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -31*r**5 + 772*r**4 - 5133*r**3 + 3960*r**2 + 432*r = 0. Calculate r.\nAnswer: -3\/31, 0, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m. Let v(r) = -496*r - 1. Determine t(v(k)).\nAnswer: -496*k - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.12 less than -15.59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m\/m**(-1\/8))\/m*m\/(m\/m**(-25)))\/(m\/m**(4\/3)*m*(m\/m**(-16))\/m) assuming m is positive.\nAnswer: m**(-973\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-5 + (-1 + sqrt(320) + -3)*2)*-4)**2.\nAnswer: -6656*sqrt(5) + 23184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 - 14 - 4)*(-2*h - h + h) as b*h + q and give b.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.32 - 2.32. Let p be (3\/(-15))\/(24\/(-30)). Which is the third smallest value? (a) k (b) p (c) -5 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -513351 + -1?\nAnswer: -513352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/(-25) - (-4556)\/1170. Let w = 750781\/39 - 19247. Let d = p + w. Find the common denominator of d and 16\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (0 - -8 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-50)\/40*(-11 + 7). Let s = 32 - b. Calculate the lowest common multiple of s and 21.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 89 - 89 + 8*x**3 + 11*x**2 + (2*x + 0*x + 6 - 7)*(2*x**2 - 3*x**2 - x**2).\nAnswer: 4*x**3 + 13*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/12039605?\nAnswer: -2\/12039605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 125, 1.\nAnswer: -4, 1, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c - 3. Let k(f) = -f + 3. Let t(n) = 4*k(n) + 5*r(n). Let w(j) = j - 2. Determine 5*t(u) - 7*w(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140896*n + 286676 = -135383*n for n.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 5*y = 9, y = 5*r - 3*r - 21. Suppose 13 = 5*p + r. Calculate the least common multiple of p and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + -3 + 14 + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -1. Let m(f) = f**3 - 7*f**2 - f + 11. Let b be m(7). Let t(c) = 3*c**2 + b*c**2 + 3 - 6*c**2 - 6. Let s = -5 - -2. Determine s*a(v) + t(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 11:52 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 29 = 41. Let t = -106 + 112. Solve -a - o + t = 0, -o = -5*a + n*o - 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 4*h - 236 = -5*r, -28*r = -31*r + 4*h - 0*h + 232 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007544384192 to 6 decimal places.\nAnswer: -0.000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - 141\/(-27) - 10\/45. Solve 10*x - 7*x - 4*h + 4 = 0, -h = -3*x + r for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3318831 + 9681225. Suppose 0*b = -b + k. Suppose b - 662394 = n. What is n rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - (49 - 17) - (-19 + -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2740125 and 247875?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3695 + -4b2?\nAnswer: -3b87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5878 * -0.2.\nAnswer: 0.11756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -i - x + 14, -10 = -i - 4*x. Let t be 1 + -2 + i + -3. Is 5 a factor of (-18)\/9*t\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 9:25 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + 12 - 96 - -16 - (0 + 0 - 7)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*q - 3*q**3 + 27 - 3*q - 10*q - 25*q + 21*q**2.\nAnswer: -3*(q - 3)**2*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/9 - -3*(-10)\/(-693) - 34\/119\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1242454 to the power of 1\/3, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 719887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/19? (a) 3 (b) 4 (c) 0.5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2\/9*q**2 - 32\/3*q - 30 = 0.\nAnswer: -45, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 113 and 904.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (689 - 914 + 547)*(-4*o + 4*o - 2*o).\nAnswer: -644*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - i - 3 = 0, 77954*i - 77958*i = 0. Determine m so that 68\/5*m + 4\/5*m**b + 72\/5*m**2 + 0 = 0.\nAnswer: -17, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 39023*s - 10591 wrt s?\nAnswer: 39023","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4 = -2*v, 0*n + 10 = -4*n - 5*v. Let m be 32\/(-6)*(0 + 9\/(-6)). Solve n = -4*g - 16, -4*s - m = -g - 0*g for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-200 - -278) + -12 + 3 + -2?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**4)**(-4\/7)*b**(-6\/5)\/b**(2\/13) assuming b is positive.\nAnswer: b**(-1656\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 7:48 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13213 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-4))\/4*-26*(-48)\/52?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1537\/58 + -12*(-20)\/160.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1781999136?\nAnswer: 2, 3, 727, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 8497 divide 625107296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*n**3 + 10*n - 10*n + (1 - 1 - n)*(22*n + 11*n - 11*n)*(-1 - 1 - 1 + n).\nAnswer: -17*n**3 + 66*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 546 and 42.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**2 - 5*g + 1. Let d(a) = a**2 - 4*a + 1. Give -7*d(p) + 6*r(p).\nAnswer: 5*p**2 - 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -1. Let t = 5844 - 5847. Which is the fourth biggest value? (a) z (b) 4 (c) t (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 298 * 535.687\nAnswer: 159634.726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 14 - 4 = 0. Suppose -5*o = 3*k + 136, k - 8*o + 43 = -12*o. Let s = -45 - k. Solve 1 = -s*r - i + 4, -p*i + 6 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 21 = 2*z. Let f(p) = 27*p + 8. Is f(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of 2*m**6\/15 - m**4\/6 + 11*m. Find the third derivative of o(x) wrt x.\nAnswer: 96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w**2 - 12*w + 10. Let q(t) = 4*t**2 - 18*t + 15. Let u(z) = -7*o(z) + 5*q(z). What is the tens digit of u(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4b55 (base 16) to base 7\nAnswer: -110140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = 15, -9*o - 23 = -4*o + n for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -31*z**3 - 3*z**2 + 2*z + 4. Does 37 divide a(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -110*u + 152*u + 1 - 2 to n*u + o and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/3792 and -103\/948?\nAnswer: 3792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -4*h. Let n be h + -1 + (-60)\/(-52). Let x be (64\/(-12) - -2) + 3. What is the closest to x in n, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of j**3\/3 + j**2 + 443*j - 1. Is f(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7584 + 10775. Is d a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -18*w - 1. Let p(o) = -7*o**2 + 32*o + 26. What is -p(t) - 2*z(t)?\nAnswer: 7*t**2 + 4*t - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*m - n - 1160 = 0, -3*n + 9 = 0. Is (1\/((-2)\/m))\/((-12)\/(-24)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -3*a - 8, 0*w - 2*w + a - 14 = 0. Let d(f) = 5*f**2 - 6*f + 3. Calculate the remainder when d(w) is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 826241765?\nAnswer: 5, 23, 487, 14753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26520 * 0.2.\nAnswer: -5304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*r + 24 = 0. What are the prime factors of (4\/r - 2)*-6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*r + 14 = -19*r - 16*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -31\/631 in 1\/24, -0.3, 42, -0.4, 2\/11?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - (-9)\/(-3)*-1) + -4. Which is greater: j or -1\/45?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -19*v**3 - 3*v**2 + 3. Let f(h) = -39*h**3 - 6*h**2 + 5. Calculate 5*c(j) - 3*f(j).\nAnswer: 22*j**3 + 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 673 or 12798\/19?\nAnswer: 12798\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-110)\/528*-12)\/((-2)\/4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k - 10 = -14*k. Suppose 2*p - 7*p = -j - 90, -k*p - j = -36. Suppose p = x + 2*x. Is x a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of z**4\/8 + 10*z**3\/3 + 3*z**2 + 18. Determine l(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - j = 1, -53845*j + 53841*j - 7 = -3*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 33?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1132631.9863 - -1132117. Let s = t - -515. Round s to three dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3734\/6 - 114\/(-171)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 94543*w**3 - 131734 wrt w?\nAnswer: 283629*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -4 - (2 + -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -8 + -1 + (4 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 8 = 19561*n - 19566*n - 2*x, -n - n = -x - 22 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11772953 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/30*(25\/20)\/((-21255)\/(-4360)).\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32088372077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-24)\/15)\/(6\/(-15)). Suppose -v = -3*r - 20, -z*v - 1 = r - 42. What is the remainder when 32 is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12434?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -16 (b) -2\/9 (c) 1\/502\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 1232*q - 12301. Calculate x(10).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -4597\/4 > -1148?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.5 and -3.58.\nAnswer: -5.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 175*v + 16 = -176*v, -4*z + 2*v = -8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 1210838?\nAnswer: -1\/605419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/(-20)*24\/(-84)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)*4)\/sqrt(8).\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 9*z**3 + z**2 - z. Let q be d(1). Suppose -5*u - 2*w = -7*w + 10, w - 5 = 4*u. Let s = q + u. Solve 5*h + 33 = s for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -28, -13, -34, -8, 9.\nAnswer: -34, -28, -13, -8, -5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*w = -0*w + 2, -2*p - w + 4 = 0. Suppose -3*x + p*q - 7 = 0, 2*q = -5*x + 21 - 6. Solve 0 = -s - 1 - x for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-3) - (-2)\/3. Let v = 68 + -60. Suppose 10*q - 22 - v = 0. Solve n = q*i + i + 16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18825?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -2, 4 in increasing order.\nAnswer: -2, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 9 and -0.0836.\nAnswer: 8.9164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2 = -i, 2*i - 5 = 3*h - 19. Let r be (-3)\/6*1*h. Let q = -0.3 - 0.2. Which is the biggest value? (a) q (b) r (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 120 and 108?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 3\/5, -15\/386, 1509, -4 in decreasing order.\nAnswer: 1509, 3\/5, 0.4, -15\/386, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(-1\/2))\/o)**(-13)*(o**(-2\/3)\/o)**(-36))**(-22) assuming o is positive.\nAnswer: o**(-1177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (0 - -1 - 0) - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1903.5 - -1901. Let b = 25 + -174\/7. Put -0.2, 3, x, b in decreasing order.\nAnswer: 3, b, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*c = -5, -4*g - 3*c - 6547 = 0. Let h = -9853\/6 - g. Calculate the common denominator of h and 78\/(-20)*7\/(-3).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.212894 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 248959999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**4 - 7*z**2 + 7*z**2)*(-10 + 8*z - 47*z + 25*z).\nAnswer: -28*z**5 - 20*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, d: 3, q: 3, a: 2}. Give prob of sequence ed.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 90 (b) 75 (c) -3 (d) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 396 and 470745.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*(w**(-1\/3)*w*w)\/w)**(1\/17))**38)**(1\/10))**(-3\/29) assuming w is positive.\nAnswer: w**(-19\/493)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 4*s**2 + 6*s - 5. Let j be u(5). Suppose j = k - 4*k - 6. Which is the closest to k? (a) -0.4 (b) 2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -974.2 rounded to the nearest ten?\nAnswer: -970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -248130, -55, -5, -2 in descending order.\nAnswer: -2, -5, -55, -248130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -0.1 (b) 6 (c) 0.1 (d) 0.06 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*x - 9*x - 238 + 58*x - 13*x - 16*x to q*x + t and give t.\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 55210*n + 1600243. Give p(-29).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lkij when four letters picked without replacement from {k: 2, i: 1, g: 4, j: 1, l: 1, d: 3}?\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-1 + 8\/(-2))*(-88 - 844)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15807451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 161, 287, 413?\n\"Answer: 126*l + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2013114103 (base 5) to base 14.\nAnswer: -770960","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 1:05 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-26)\/4*(3 - 9). Let d = a + -19. Let s = d - -26. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 57.99 + -58. Let y = -1 - -1. What is the nearest to y in 2, 5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*b - 3*b**4 + 26 - 7*b**2 - 3 + 8*b**4 - 13 - 5 to o + z*b**3 + c*b**2 + a*b**4 + u*b and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -5.08. Let k = b - -0.18. What is the nearest to 1 in -5, 0.5, k?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 y when three letters picked without replacement from jybbydbryllb.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -5*m + m + m + 0*m. Let x(g) = -34*g**2 + 10*g**2 - 2*g**2 - 8*g**2 + 0*g**2. Determine u(x(a)).\nAnswer: 102*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/180 and 97\/108.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -8) + (0 + -28 - -61).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -5, 4, 3, 18, -4, 12 in decreasing order.\nAnswer: 18, 12, 4, 3, -4, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-10 + 1) - (2484 - 2467)) + (2 - -72).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 3*f - 1. Let l(j) = -2*j**2 - 8*j. Let i(m) = 2*l(m) + 5*s(m). Let c(g) = 6*g**2 - 4*g - 24. Give -3*c(w) + 14*i(w).\nAnswer: -4*w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*k**2 + k**2 - 6*k**2)*(3*k - 6*k + k) + (-5*k**2 + 2*k**2 + 4*k**2)*(313*k - 155*k - 149*k) to j*k**3 + n + i*k**2 + l*k and give j.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 8.49+-7.1\nAnswer: 1.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3281 = 272*b - 4590 + 4063 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -a**6\/360 - a**3\/2 - 2*a**2. Let m(y) be the first derivative of i(y). Factor m(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304310 a multiple of 737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*((sqrt(171) - 1*sqrt(171) - sqrt(171)) + sqrt(171)) + sqrt(171))\/(sqrt(9) + sqrt(45)\/sqrt(20) + sqrt(9) - sqrt(9)))**2.\nAnswer: 76\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 54 + 296 = -3*m, m = 3*b - 694. What is the remainder when b is divided by 58?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2158749 and 17685.\nAnswer: 32381235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 155 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 8*t**2 - 2*t - 15. Let y be z(-8). Let a = -1 + y. Factor -3\/2*r**2 + 0 + a*r.\nAnswer: -3*r**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 u when two letters picked without replacement from ffkuuuukffuuu?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 54*z**2 - 39*z - 535. Calculate the remainder when y(55) is divided by 40.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24890, 24887, 24884?\nAnswer: 24881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lljr when four letters picked without replacement from {r: 2, j: 4, l: 7}.\nAnswer: 14\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 - 10042064*v + 30126174.\nAnswer: 2*(v - 5021029)*(v - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 65 = 4*l - 53, 17 = g + 3*l. What is the remainder when g is divided by 1\/(-28)*-4 - (-110)\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -3 - (-9 + (-3 - (-17 - -23)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**4 + g**3 - g + 3. Let a(o) = 11*o**4 - 6*o**3 + 85*o**2 - 55*o - 17. Let f(n) = -a(n) - 6*u(n). What is the second derivative of f(w) wrt w?\nAnswer: -60*w**2 - 170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004301 rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y\/(y**7\/y))\/y)\/y)\/(y**(-7\/2)\/y*y)*(y\/y**(1\/14))**(4\/9) assuming y is positive.\nAnswer: y**(-263\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of 5*i + 2 + 0*i**2 + 251\/6*i**3 - 20*i**4. What is the second derivative of r(f) wrt f?\nAnswer: -480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-24))\/((52\/16)\/13)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r + 1. Let x(g) = -19 + 10 + 8*g + 13. Determine 9*h(q) - 2*x(q).\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -169, -1418, -4831, -11494, -22493, -38914?\nAnswer: -61843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.096 (b) -0.2 (c) 18 (d) 1.1 (e) 0.21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c - 8. Let m be z(-8). Let o(f) = -f**3 - 5*f**2 - f + 5. Let n be o(-5). Let d = m + n. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, s: 1}. What is prob of picking 4 n?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (sqrt(176) + -5)**2 - (1 + sqrt(396))**2) + -4.\nAnswer: -602 + 29*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -105430 (base 6) in base 15?\nAnswer: -2a13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -3 - (14 + -15) - (-1 - -13)) + -8\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8455257 + -8455261.0000136. Let m = -4 - t. What is m rounded to 6 dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 4*h + 37, -3*t = 4*h - 5*h + 18. Let r(z) = -z**2 - 5*z - 6. Determine r(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + x + 0*x)*((0*x + x - 2*x)*(-x - 2*x + 2*x) + (3*x - 2*x + 4*x)*(-x - x + x))*(x + 12 - 12).\nAnswer: -8*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 118*j**3 + j**2 - 1. Let z be x(1). Suppose 5*u - 7*u = z. Let y = u + 85. Does 9 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x + 9. Calculate k(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 5:41 PM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 19993916 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*m - 1824 = 17*m - 59*m for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28526240*s**6 - 3089018*s**2 wrt s?\nAnswer: 3423148800*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -726.7 rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 3*p - 29 - 4 = 0, 4*g = -4*p + 20. Let u(z) = z**3 - 5*z**2 - 10*z + 2. Let a(t) = -t + 1. Let k(y) = 4*a(y) - u(y). Calculate k(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**4 - r**3 + r + 1. Let c(d) = d**5 - d**3 + d + 1. Let l = 9 - 10. Let n(j) = l*z(j) + c(j). Factor n(h).\nAnswer: h**4*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven halves of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.528 + -0.428. Let i = -59\/320 + -1\/64. What is the closest to m in i, 36, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 5*o - 5. Let v be j(-4). Let g = -1.5 - -46. Let s = g + -45. Which is the nearest to -3? (a) 0 (b) s (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**2 - 4*n**2 + 2*n**2 + 9 - 8 + n**2 + n**2 + 0*n + n**2 + 0*n + (6 - 2 - 2)*(-4*n**2 + 0*n**2 + 2*n**2) + 4*n**2 - 2*n**2 - 4*n**2.\nAnswer: -4*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -7 (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13596 + 110032 = 4*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in 0, 1707, 1, -4\/69?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4042699, -16170793, -36384281, -64683163, -101067439?\nAnswer: -145537109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1951691548?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 plus -271.40078339237?\nAnswer: -264.40078339237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 17*d - 8*d. Suppose -10*h = -d*h + 3*h. Solve n + 9 = 3*o - 4*n, h = 4*o + 5*n + 23 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 142 and 5396?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwww. Give prob of picking 4 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19257.\nAnswer: 3, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19593436.\nAnswer: 2, 233, 21023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**3 - 3*f + 3*f + (-f**2 + 0*f + 0*f)*(-4*f + 2*f + f) + 1 + 2*f**3 - 1 + f**3 - 3*f**3 - 5*f**3 in the form v*f**2 + z*f**3 + g*f + l and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) 0.5 (c) 33 (d) -2\/11 (e) -5 (f) 0 (g) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from {k: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006333 rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a week in hours?\nAnswer: 273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o + y + 25, 74752*o - 74748*o + 14 + 6 = -3*y for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*q - 2*z, -2*q + 299*z - 296*z = 3. Suppose -3*l - 14 = -185. Suppose -q*s + l = -54. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 6*m - 181. Suppose 862 = -2*s + 880. What is the remainder when m is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-4\/7)\/u*u**(-14) assuming u is positive.\nAnswer: u**(-109\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l**2. Let m(k) be the first derivative of -k**4\/4 - 3*k**2\/2 + 7. Let s(n) be the second derivative of m(n). Give r(s(o)).\nAnswer: 108*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 16*d**2 + 15*d - 14. Let k be z(-17). What is the greatest common factor of 5 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4\/(-5))\/((-341)\/85 - -4)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 2*q + 4190 - 4196, -8*j = 5*q - 15 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 t when four letters picked without replacement from tttdhdththdyhhd.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 414349 and 611.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 112471735 + 0.1344\nAnswer: 112471735.1344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 722290436?\nAnswer: 2, 7, 23, 43, 26083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17390102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.054, 0.05, 4?\nAnswer: 0.054","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90\/(-75))\/((-14)\/140).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 + 14 + 10 + 9 - 78*y.\nAnswer: -78*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84\/(-16)*911120\/(-105)?\nAnswer: 2, 7, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 3*l - 16 = -31, 100 = -6*z + 2*l for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 5*p - 3. Let o be d(-6). Suppose n = o*n - 4. Suppose -h + 5 = n. Calculate the remainder when 8 is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/10 + 0)*(-2)\/4. What is the second biggest value in u, -2\/9, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**1)**(-47))**(-10))**(-24))**(2\/5) assuming s is positive.\nAnswer: s**(-4512)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 446 + -431. Suppose -3*s = 5*r - t, 22 = -3*s + 37. Solve -2*u = -r*u - 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 159*i + 1200. Determine r(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*u + 21*u - 5*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 25 = 60. Suppose 4*s = -3*b + 122, -2*b + s = -0*b - t. Is b a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -1 + z**2 - z - 7*z**2 + 5*z**2. Let y(w) = 5*w**2 - 4*w + 8. Let v(f) = -4*k(f) + y(f). Find the first derivative of v(t) wrt t.\nAnswer: 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.19 and -37135086.\nAnswer: -7055666.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 161.91522ms?\nAnswer: 0.00004497645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -427589, -4, 4 in descending order.\nAnswer: 4, -2, -4, -427589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 297 = 7*k + 143. Find the third derivative of -k*g**4 - 79*g**2 + 6*g**4 - 23*g**4 + 2*g**6 - 129*g**2 - 5*g**6 wrt g.\nAnswer: -360*g**3 - 936*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.35 (b) 6 (c) -92\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3140*q**2 + 6349?\nAnswer: -6280*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, 41, -5 in decreasing order.\nAnswer: 41, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 473250\/20823 - 30\/11.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 6*l - 5. Let k(d) = -d**3 + 18*d**2 - 16*d - 10. Let z be k(17). Let s be u(z). Suppose 2*t = -4, 0*t = 3*f - s*t - 37. Is f even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8088899 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 80 - 82. Find the common denominator of 9\/6*55\/3 and 54\/16*(21\/18 + o).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 16 = -24. Suppose -4*v - 5*b - 31 = 0, -b = -5*b - 12. Let a be (-13)\/v - 3\/12. Solve 5*u = -a + c for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-44)\/(2112\/504)*3\/54*3\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxe when three letters picked without replacement from exexeeeeeee?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -12462*i + 2990890. Calculate d(240).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6328072699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*115.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/9 - 44\/36. Let h = 6 - 2. Which is the biggest value? (a) 2\/7 (b) h (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + d**2 + 2. Let o be l(0). Suppose -4*j + 230 = -0*z + o*z, -2*j + 4*z = -110. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 8) to base 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104503 >= 1104494?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -776 divided by -1\nAnswer: 776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -46 (b) 0.0076 (c) 1 (d) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4846?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3702, 3697, 3692?\n\"Answer: -5*k + 3707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 34011408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10755390 and 680?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -41, -0.4, 7\/4, -6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jftttft. Give prob of picking 1 j and 1 t.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21316480 and 4560?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 4*t**2 - 45*t - 379. What is y(-11)?\nAnswer: -731","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n + 1. Suppose 5*i + 11*m + 15 = 6*m, -4*i - 5*m = 18. Let a(u) = -11*u**2 - 3*u + 1. Give i*y(x) - a(x).\nAnswer: 11*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuc. What is prob of picking 2 c and 2 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1173679.11 to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -465*f**2 - 2 + f**3 + 922*f**2 - 475*f**2. Give j(18).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1154 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -751*f + 59. What is the remainder when u(-4) is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -3*v + 9. Differentiate 1 + 0 - z + v*z with respect to z.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 3*g + 21 = 0, -2*t - 112 + 155 = -5*g. Solve -5*h - 6 = u + 6, 2*u + 5*h = -t for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**4\/f))**24*f**5*f**3 assuming f is positive.\nAnswer: f**(-64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169 + 107 = 3*u. Let x = -93 + u. Let s(t) = -t - 1. Let h(l) = 21*l + 18. Suppose -31 - 5 = 2*r. Give r*s(i) + x*h(i).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 4*b**2. Let u(c) = -6052*c**2. Give u(q(p)).\nAnswer: -96832*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-10408)\/(-10))\/((224\/(-35))\/(-16)).\nAnswer: 2, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -316274, -316377, -316478, -316577, -316674, -316769?\nAnswer: -316862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1897*o - 7083 = 556*o + 15714 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0683532 rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -18 (base 10) to base 5\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59 + 106. Suppose 2*l - 225 = -v. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010111010010110 + -10111?\nAnswer: -10010111010101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 + 0 + 0)*(159 + 131 + 184)*(0*p - p + 2*p).\nAnswer: 948*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61 - 60.918. What is i rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/9 - 10778*l**2\/9 + 4842016*l\/3 - 1612808.\nAnswer: 2*(l - 2694)**2*(l - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 98*c**4\/15 - 3036404*c**3\/3 + 23857282*c**2\/15 - 9914696*c\/15 + 413112\/5 = 0.\nAnswer: 2\/7, 1, 154917","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 69*d**2 - 2*d + 7. Is s(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -5*u**2 + u - 3. Let c(f) = -f**2 + 1. What is -6*c(h) + i(h)?\nAnswer: h**2 + h - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6201099.4 rounded to the nearest 100000?\nAnswer: -6200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3092?\nAnswer: 2, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68322 and 772.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*a + 0)*(a + a - 7*a) - 2*a + 2*a - 9*a**2 + (12*a - 6 + 6)*(-4 + 4 + 2*a).\nAnswer: 30*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4764)\/3573)\/(2 + -2 - (-2)\/30)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 1202 - 1199 = 3*s, 5*s = -3*p + 7. Let h(x) be the second derivative of 1\/12*x**4 + 1\/3*x**3 - 24*x + 1\/2*x**s + 0. What is h(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61 + -792\/13. Suppose -3*i = -i - 8. Let n = 3184.8 - 3185. Which is the fourth biggest value? (a) p (b) i (c) n (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.11 + -0.02. Let m = 0.59 - n. Sort -4\/5, m, 0.3 in ascending order.\nAnswer: -4\/5, 0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1924550.8 times 0.3\nAnswer: -577365.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0341 + 0.038. Round j to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -4*x. Let l(r) = -8 + 3 + r + 5. Determine l(n(f)).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - b**2 - 3*b + 2. Give f(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 2 + 10 = 0. Suppose 0 = 4*v + 12, k*v - 3 = -3*i - 0. Solve 0 = i*n - 6*h + h + 21, 4*n = -4*h + 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 5*s = -24. Let h = 5 + 23. What is the remainder when h is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49438, -49427, -49410, -49387, -49358, -49323, -49282?\nAnswer: -49235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1230340.\nAnswer: 2, 5, 227, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 51 and 102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/((2\/696)\/(1\/(-3))) is divided by 56.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -74*z + 167. Let x(t) = 25*t - 59. Let c(h) = 6*v(h) + 17*x(h). Determine c(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-13)\/(26598\/(-594)))?\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48 - -59. Let x = -25 - -36. Calculate the highest common factor of d and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 0 + 144*r**3 + 122*r**2 + 8*r + 113\/2*r**4 + 7*r**5 = 0.\nAnswer: -4, -2, -1\/14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -3, 52, 2\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 172416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4874 (base 12) in base 15?\nAnswer: -2637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 times -0.44676?\nAnswer: -0.0402084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 0*x = -x + 7, -19 = 3*d + 5*x. Which is the nearest to 1? (a) d (b) -0.1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 733032 and 24876?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, s: 9, m: 6, i: 1, e: 1}. Give prob of picking 1 z and 1 m.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69556 = -3*p - h, 0 = 5*p - 4*p + 3*h - 23188. Suppose -d - 6 = d, -5*d = 2*x - p. Round x to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.01 (b) -278\/21 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31850?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000516431789 rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**4 + u - u)*(-5*u - u + 4*u) + (-4*u + 0*u + 5*u)*(4*u**2 - 4*u**2 + 4*u**4).\nAnswer: 2*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1236847.\nAnswer: 41, 97, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003038 to four decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 3 = -x + 2*c, 0 = 5*c + 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -2\/13, -4\/7, -0.01?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 12 = -2*h. Let w = h - -8. Suppose -w*r + 6*f = 3*f, 0 = -f. Solve 4*t - 1 - 11 = r for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -3, 161, -10, -12.\nAnswer: -12, -10, -9, -3, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + (0 + sqrt(171))*6 + -1 - ((-3 + sqrt(76)\/sqrt(4) - (sqrt(1539) + 1 - sqrt(1539))) + -4)**2) + 3.\nAnswer: -81 + 37*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 143*i - 2836. What is the lowest common multiple of v(20) and 2076?\nAnswer: 4152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - 2 - (-17 - (-5 + -9))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -390 - -390. Solve 4*p + 19 + t = -g, -g - 4 = p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 + 0 + 10 + -2\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1942 - 2056 = -6*j for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63 - -98) + -178 - (1 + -6 - 0)?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of 1\/36*r**4 + r - 1\/60*r**5 + 0 - 1\/6*r**2 + 1\/18*r**3. What is x in n(x) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8720*l = 8733*l - 91 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 190302881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -158.152 at most 93\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-6)*q)\/q)**(-12\/13) assuming q is positive.\nAnswer: q**(72\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 - 4722*r**2 + 18936*r.\nAnswer: -3*r*(r - 4)*(r + 1578)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 369, 1428, 3191, 5658, 8829, 12704?\nAnswer: 17283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 smaller than 776\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 536 (base 8) to base 10\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 9410000 to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1.88 times 6\nAnswer: 11.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -43745, -1, 3, -5, -10 in decreasing order.\nAnswer: 4, 3, 2, -1, -5, -10, -43745","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/43? (a) -3 (b) 4 (c) 2.32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -32? (a) 0 (b) -902 (c) -4\/7 (d) 4\/3 (e) 1\/5 (f) -8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 10.5 times -1.9\nAnswer: -19.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 2*v - 4*v)*(0*v + v + 0*v) + 4*v**2 - v**2 - 4*v**2 - v**2 - 2*v**2 + 5*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, m: 1, c: 1, b: 1}. Give prob of picking 3 u.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d + r = 62, 10*d + 20*r - 45 = 3*d + 8*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -7201*r**2 + 17*r**3 + 7207*r**2 - 25*r**3 + 7 + 8*r + 5*r. Let u(k) = -7*k**3 + 5*k**2 + 13*k + 6. Calculate 5*q(y) - 6*u(y).\nAnswer: 2*y**3 - 13*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(567)*2 - (-5 + (sqrt(567) + -2)**2)) + ((1*-1*sqrt(567) - sqrt(567))**2 - -1*(0 + sqrt(567))).\nAnswer: 81*sqrt(7) + 1702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**2. Suppose 5*m + 11 = -3*j, -5*j = -m - 9 - 10. Suppose 15 = 5*a + n - 20, -3*a = -n - 21. Let h(c) = -c - j*c + a*c. Give h(r(g)).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v - 7. Let m be h(-4). Let j(q) = q**3 + 2*q**2 - 2*q + 1. Let o be j(m). Which is the biggest value? (a) -1\/10 (b) o (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.13 - -1.25. Let x = -94 + 92. Sort x, 0, q.\nAnswer: x, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1aa163 + -4?\nAnswer: 1aa15b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*g + 18 + 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11564 (base 7) in base 2?\nAnswer: 101111011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 15*f + 5. Let j(p) = 46*p + 16. What is -7*i(y) + 2*j(y)?\nAnswer: -13*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 25\/(-10)*2 - -85. What is the highest common factor of o and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.46481273 rounded to 1 decimal place?\nAnswer: 5.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + 1 - (42 + -27 - 17)) + 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2850 or -2531?\nAnswer: -2850","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 249\/4 - 62. What is the nearest to -3\/5 in 0.3, u, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2*i + 9. Differentiate -i*f**2 + 2 - 4*f**2 + 4*f**2 wrt f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 31. Is 5 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11055.9489 rounded to the nearest 10?\nAnswer: 11060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -41605 (base 11) in base 12?\nAnswer: -2b102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*x = -40 - 20. Does 7 divide x\/(3*((-4398)\/2196 + 2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 20. Let r(x) = 0*x - x - 11 - 3*x - 11*x. List the prime factors of r(d).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 17*d**2 + 17*d - 14. Give w(16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -71 + s**3 - 7*s + 182 + s**2 - 57 - 66. Let f be q(3). Solve 3*a = -0*a + 2*y + 17, -f*y - 15 = -a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 4 + 0)*(6*j + 12*j - 10*j) - 1 - 3*j + 1)*(-8 + 20 + 12).\nAnswer: 312*j","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3*h**2 + 7*h + 7. Let u(w) = w**2 - 2*w - 2. Let z(a) = -4*b(a) - 14*u(a). Let j(g) = 3*g - g - 6*g - g. What is j(z(n))?\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7031?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -61*d - 273*d + 83*d + (3 - 4 + 2)*(-2 - d + 2) - 11*d + 4 - 4.\nAnswer: -263*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15370?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22041 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*z + 42*z + 37*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6629 and 4?\nAnswer: -26516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2175 (base 11) in base 3?\nAnswer: -10221010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - 13) + 24 + (-11 - 23)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 342.4306ml to litres.\nAnswer: 0.3424306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b**2 - 4*b + 51 + 4*b**2 - 15*b. Suppose 5*q + 14*q = 437. What is the tens digit of t(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 799 less than -10058.57143?\nAnswer: -10857.57143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 351 and 138.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1264*h**3 - 2173*h**3 + 349*h**3 - 801*h**3.\nAnswer: -3889*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**2\/3 - 1552*u\/3 - 301088\/3 = 0. Calculate u.\nAnswer: -388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.3195 + 1.0195. What is the closest to -0.095 in x, -3\/2, 4\/7, 2\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3063294 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 9:12 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -880, -883, -886, -889, -892, -895?\nAnswer: -898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 7*n. Let y(p) = -398*p**2 - 2. Give y(w(t)).\nAnswer: -19502*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(475) + -1 + -1)**2 - (sqrt(2736) + 1 + sqrt(2736) + sqrt(2736) + sqrt(1216)*-3).\nAnswer: -32*sqrt(19) + 479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 385.2946*1\nAnswer: 385.2946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -38 + u**3 - 7*u**2 - 6*u**2 + 15*u + 46. List the prime factors of b(12).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 6*o - 4*q + 56, -2*q - 105 = 5*o. Let f = o - -32. Solve -4*l - f = -w, 5 = -3*w + 2*w - 5*l for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2, -0.432, 1, -5, -4, 3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - x - 4*x = -21, 4*k + 5*x = 27. What are the prime factors of (-915)\/(-10) + k\/(-6) - 2?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -8*f**2 + 3. Let j(b) be the first derivative of -4*b**3\/3 + b + 3452. What is 7*j(z) - 3*k(z)?\nAnswer: -4*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -243*h**2 - 13*h + 14. Let n be c(1). Let k = 297 + n. List the prime factors of k.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 91\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -7*q**7\/30 + 91*q**6\/120 - 47*q**5\/80 - 13*q**4\/48 - q**3\/24 + 7*q**2 + 2. Factor a(z).\nAnswer: -(z - 1)**2*(14*z + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 63 (b) 0.3 (c) -3 (d) 22 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/1216 and 43\/9120.\nAnswer: 18240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(756)*-2)\/sqrt(12) - ((sqrt(7) - sqrt(63))*6 - (sqrt(112)\/sqrt(2))\/sqrt(8)))**2.\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -240*f**6 - 118*f**2 - 2*f wrt f?\nAnswer: -28800*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9559525 rounded to two dps?\nAnswer: 1.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 55504594 to the nearest integer?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.358 times 5.168\nAnswer: 1.850144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2, -135*m + 131*m + 2*r = -3849936. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 + 0. Let p = -15 - z. Let q = p + -2. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -3, -0.2, 245?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -219 - 3668*r + 3666*r - 766 to u*r + o and give o.\nAnswer: -985","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42 - 30. Let v = -48 - -31. Let t = -1 - v. What is the lowest common multiple of c and t?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x - 5*a - 109, -23257 = -3*a - 23320 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 12:14 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/12)*y)\/(y\/(y**(-8\/3)\/y)*y)*y**7*y\/((y*(((y\/y**(-1\/2))\/y*y)\/y)\/y)\/y) assuming y is positive.\nAnswer: y**(47\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26*p**3\/3 - 92*p**2\/3 + 10*p + 12.\nAnswer: 2*(p - 3)*(p - 1)*(13*p + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 182600 and 4648.\nAnswer: 1278200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**3\/11 + 892*o**2\/11 + 190240*o\/11 + 376896\/11 = 0. What is o?\nAnswer: -156, -2, 604","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 278, -18, -5, 0.2?\nAnswer: 278","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -6239*v**3 + 66*v**2 - 67*v**2 + 28*v**4 + 21*v**4 - 48*v**4 in the form m + h*v**2 + x*v + t*v**4 + n*v**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -28026*v**3 + 5*v**2 + 15*v. Let y(p) = 2284120*p**3 - 408*p**2 - 1224*p. Give 408*w(c) + 5*y(c).\nAnswer: -14008*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*x - 9*x + 5*x)*(73*x + 3*x + 106*x)*(x - 6*x + 4*x).\nAnswer: 2730*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 5 + 4. Let n(i) be the third derivative of 47*i**5\/60 + i**2. Is n(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*i + 6*i**2 - 23*i**3 - 18*i**3 + 13*i**3 wrt i.\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7831049 is divided by 1258?\nAnswer: 1257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1179340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 9*l**2 - 8*l - 7. Let i be b(8). Find the common denominator of (-38)\/i - (2 + 2) and -4\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-9)*(-1)\/(-5))\/(-4)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2748, 2\/7, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4\/3 - 52*n**3\/3 - 225*n**2 + 52*n\/3 + 676\/3.\nAnswer: -(n - 1)*(n + 1)*(n + 26)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7062.219 * -0.3.\nAnswer: -2118.6657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.59 + 47.59. Let k = g + -86. Let s = k - -43. Which is the smallest value? (a) -5 (b) s (c) 1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-5))**42)**(-2\/3) assuming g is positive.\nAnswer: g**140","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 2000111021021?\nAnswer: -2000111021020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37423, -299159, -1009577, -2393017, -4673819, -8076323, -12824869, -19143797?\nAnswer: -27257447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhnhhhhhnhhhh. Give prob of picking 3 h.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + 40*t - 108. Let n be f(3). Factor -12 + 0 + 26*h**2 + 19*h**2 - n + 12 - 6*h.\nAnswer: 3*(3*h - 1)*(5*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 146 - 142. Let q(h) be the first derivative of 0*h**2 + 5*h + 0*h**3 + 1 - 1\/4*h**g. What is the derivative of q(x) wrt x?\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -147 and 618?\nAnswer: -90846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 + 2)\/((-2)\/(-8)). What is the hundreds digit of (-426)\/n + (-16)\/32?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2 + sqrt(833) + -1 + 5*3*(sqrt(833) - (sqrt(833) - 2*sqrt(833))))**2 + -3.\nAnswer: -868*sqrt(17) + 800514","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/sqrt(18) + 1 + sqrt(833).\nAnswer: 1 + 22*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -5*p - 5. Let c be w(-9). Suppose -3*h - c = -4*t, -4*h = 3*t + h - 1. 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 i(p) = -3*p**2 + 78*p + 43. Let o be i(24). Is o > 187?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 171803?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*p + 1275 = -302 for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4\/5 (b) 67 (c) 1\/2 (d) -0.1 (e) -12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.9 - 6.899705. Round q to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-11)\/((-110)\/24) - 2. Let w = -0.2 + 0. Sort w, -0.1, b.\nAnswer: w, -0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ki when two letters picked without replacement from iuuukkiieiu?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 5*g**2 - 7*g + 11. Let l(m) = 10*m**2 - 13*m + 20. Let k(s) = -7*h(s) + 4*l(s). Is k(4) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15509 - -93053\/6. Put 8, -0.3, r, -70 in descending order.\nAnswer: 8, r, -0.3, -70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 836*t**2 + 2*t. Let k(h) = 31*h. Determine s(k(u)).\nAnswer: 803396*u**2 + 62*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 14*k**2 + 9*k + 21. Is c(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18066 is divided by 1124.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 25703381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -159276081.084 from 0.13.\nAnswer: 159276081.214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50066541, -50066555, -50066569, -50066583, -50066597, -50066611?\nAnswer: -50066625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -293 + 295. Let o be 2\/(10\/(-5) - g). Let q be ((-1)\/(-58))\/((-1)\/4). What is the nearest to q in -1, -1\/5, o?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -586 at least as big as 94832?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*x - 920993 = -920296 for x.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 8. Let p = -2 - u. Suppose 3*w = 4*w - 1. What is the remainder when p is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 461128 = 22*h + 87696 - 501024. What is the thousands digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 2 - (15 + -9 - (-1 + -3))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 0.043 (c) 5 (d) -735 (e) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6963 or 2.3?\nAnswer: -6963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.065 or 736263?\nAnswer: 0.065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(4 - 10 + 5)*(-4 + 2*g**2 + 4).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255 is divided by 92.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -5*y**5\/2 + 1591*y**4\/4 + 1449*y**3\/4 - 1435*y**2\/4 - 803*y\/4 + 120 = 0.\nAnswer: -1, 1\/2, 3\/5, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, k: 3, d: 7}. Give prob of picking 2 d and 1 o.\nAnswer: 21\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -253*m**3*v**4 + 5*m**3*v - 177*m**3 + 5*m**2 + 2*m*v**4 wrt v?\nAnswer: -3036*m**3*v**2 + 24*m*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -455*x**2 - 4*x. Let b(m) = -1 + 7309*m - 7311*m + 1. Give b(t(n)).\nAnswer: 910*n**2 + 8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -50, -91, -134, -179, -226, -275?\n\"Answer: -d**2 - 38*d - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvvbbvbpbkkvb. What is prob of sequence vp?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 0, 2, 8, 18, 32, 50?\n\"Answer: 2*f**2 - 4*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.079 * -121.\nAnswer: 9.559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 350305355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a litre in millilitres?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-12) - (-71)\/(-3). Let d = j - -44. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 * 0.58\nAnswer: -7.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6.27 - 811555.555\nAnswer: -811561.825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 119252 and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8.69, -5, 126, -6, 0.04 in decreasing order.\nAnswer: 126, 0.04, -5, -6, -8.69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 374843?\nAnswer: 7, 53549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 21139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -1, 1\/11, -0.4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1613 - -1620. Let o(l) be the second derivative of 0*l**4 + 0 + 17\/20*l**5 - 2*l**2 + 0*l**3 + w*l. What is the first derivative of o(b) wrt b?\nAnswer: 51*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 34*y - 32. List the prime factors of z(6).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 204*k + 169. Calculate f(-1).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -107, 52, 461, 1228, 2461, 4268?\n\"Answer: 18*a**3 + 17*a**2 - 18*a - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -132101 - 200032?\nAnswer: -332133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and (2 + 9\/(-27))*3\/5 + 539?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of c**4\/12 + 2*c**3\/3 + 5*c**2\/2 + 13*c. Suppose 2*s + 11 = -3*b, -b - 4*b - 31 = -3*s. Is 5 a factor of j(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 48*x**2 - 27*x - 21. Let q(n) = -7*n**2 + 4*n + 3. Let b(c) = -27*q(c) - 4*t(c). What is the first derivative of b(a) wrt a?\nAnswer: -6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 27\/4 of a millisecond?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/(-448))\/(24\/384)\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y = 8*y. Solve 3*p - o = y, -3*p + 8*p = -2*o for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 582.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10101100001111 (base 2) to base 10.\nAnswer: 11023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2556415 - -5?\nAnswer: -2556410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1913982 and 126?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*n - 28*n + 3*n**2 + n**4 + 6*n + 2 + n**4 to the form q*n**4 + p*n**2 + c*n + g + x*n**3 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.3 - -3.8. Let l = 47 - 45. Sort l, -2\/15, x, 0.2 in decreasing order.\nAnswer: l, x, 0.2, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*i + 569*i + 15833 + 4872 = 3215 for i.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/6 and 10\/761.\nAnswer: 4566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c + 5. Let x be s(-9). Let u be 6\/x*(-48)\/18. Solve -5*k - 6 = u*i + 3, -4*k - 2 = -2*i for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 364*y = 365*y - 2*c - 10051, -3*y = -c - 30138. Does 13 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cqbpcbqbypqtpccyq. What is prob of picking 1 b, 1 t, and 1 y?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.053 + -1.54. Let x = i + -0.57. What is x rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -496*w**4 - 10*w**2 - 2*w - 50. Let l(z) = -248*z**4 - 6*z**2 - z - 25. Let y(c) = 5*l(c) - 3*v(c). Find the second derivative of y(s) wrt s.\nAnswer: 2976*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1652\/(-119) - -14 - (-452)\/(-374) - (-214124)\/(-4378)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -350*r + 7 + 349*r + 1 in the form q*r + h and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - o + 4*o)*(1 + 0 + 0) + 28 - 5*o - 19 + 8*o + (1 - 1 + 2*o)*(5 - 1 - 3).\nAnswer: 7*o + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23711*m**3 + 66694*m**3 + 25805*m**3.\nAnswer: 68788*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -4*m - 1\/2*m**2 + 65\/2 = 0?\nAnswer: -13, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -29*w - 17*w**2 - w**3 - 559 + 287 + 280. Determine j(-15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(6\/8)*6\/(-4))\/(1030\/(-6695))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2974546791?\nAnswer: 3, 29, 937, 12163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 14. Let w = 13.36 - 13.41. Which is the fourth smallest value? (a) m (b) w (c) -2\/3 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l = 9513 - 30375. Round l to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 2*n - 55. Give d(0).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*z - 15*z = 20. Suppose -z*y + 42 = -3*y + 4*a, 5*y + 4*a - 210 = 0. Suppose -2*r = r - y. What is the highest common factor of 154 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7*13\/(26\/12). Let f = -31 - k. Let b = f + 126. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*x - 2*x - 2*x + (0 - 2 + 1)*(-2*x + x + 0*x) + x + 3*x - 3*x - x - 3*x + 2*x + 8*x - 5*x + x.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.00217293 + -21.90686\nAnswer: -21.90903293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 11*p - 11. Let h be b(10). Suppose -7*l - h = -470. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2331876291?\nAnswer: 3, 777292097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 92 = -0*j. Let z = 58 + -52. What is the remainder when j is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 10:53 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 851?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 434 a factor of 45397941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j - 3*j - 13854434*j**2 + 13854402*j**2 + 2*j.\nAnswer: -32*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13910700 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 20 = 2*n, -4*i + 4*n = 0. Suppose i*u - 3 = 3*m, -5*m - 3*u - 8 = -32. Let w = m - -2. What is the lowest common multiple of w and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + 38. Let u = -45 + a. Suppose 16 = 7*h - 3*h. Solve -h*q + u = -3*c, -3*c + c + 2 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 440065\nAnswer: 9\/440065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*b - 28*b - 4*u - 18 = 0, u = -2*b - 6 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 5*r - 2719 + 2740 = 0, 2*r = 4*u + 30 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-2366)\/(-442) + 5 + (-30)\/3\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (w**3 + 7*w**2 - 3*w**2 + 3 - 3*w**2)*(3 - 2 + 1) in the form k*w**3 + p*w**2 + o + b*w and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**6*o**(-1\/7)*o*o\/(o*(o\/o**(3\/7))\/o)*o**(-1\/2)*o)**(26\/7) assuming o is positive.\nAnswer: o**(1417\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*b + 38. Let p be 112\/18 - 4\/b. What is the units digit of 12\/(-5)*(-15)\/p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/2384249 and -79\/1449?\nAnswer: 21458241","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*r**3 + 55*r + 8*r**3 - 21*r)*(5*r - 3*r - r) to p + f*r + d*r**3 + y*r**2 + a*r**4 and give y.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1475659?\nAnswer: 47, 31397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 5)*(-1)\/3. Let u be 18 + 3\/3*2. Let c be 2*(1 + r)\/u. Which is smaller: 2\/9 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 41*j**3 - j**2 + 1. Determine y(-1).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**3 - 3*j**3 - 1 + 4*j**3 + 5 to x*j**3 + h*j**2 + t*j + y and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 10\/2129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7868 - -8302. Calculate the highest common divisor of h and 2542.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 8710*a**3 + 3*a**2 + 54*a. Let t(s) = 43550*s**3 + 14*s**2 + 252*s. Calculate -28*h(x) + 6*t(x).\nAnswer: 17420*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 32, 43, 54, 65, 76?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/1 - 4*(5 - 8). Which is the second smallest value? (a) -3\/4 (b) 8 (c) -3 (d) u (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4908227?\nAnswer: 281, 17467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-92)\/(-16)*-3*(-131)\/3*20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -263 + 76 = -4*g + f, -g + 61 = -5*f. What are the prime factors of g?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x**4\/3 + 60*x**3 - 832*x**2 + 11920*x\/3 - 3200 = 0. What is x?\nAnswer: 1, 10, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -449*m - 215*m + 270344640 = -184*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 753, -643, -2969, -6225, -10411, -15527?\nAnswer: -21573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 176 and 37202?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) -0.201 (b) -4 (c) 2\/7 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 39048959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5 + sqrt(12) + sqrt(3) + 1 + sqrt(192) + 2 - ((sqrt(45)\/sqrt(3))\/sqrt(5) - sqrt(30)\/(3*sqrt(10))))**2.\nAnswer: -3892\/3 + 496*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8388 + 8387.94443. What is d rounded to three decimal places?\nAnswer: -0.056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(33)\/(2*sqrt(15)\/sqrt(5)) + sqrt(121)\/(4*sqrt(396)))*2)**2.\nAnswer: 26*sqrt(11)\/3 + 4163\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 0 - (-36 + 14 + -26 - -16)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*b**2 + 89*b - 1014*b**2 - 22*b - 67*b + 4 as h + l*b**2 + n*b and give l.\nAnswer: -988","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 7*n**2 + 5*n. Let v be g(-6). Suppose 149*c - 484*c + 2010 = 0. Solve -3*k + c*k = v for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -133 + 16 + 881 + -804.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/2 - 4\/6. Let g = -510 + 510. Is g equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 3*u + 8 - 4*u)*(102 - 57 + 21 + (1 - 2 - 1)*(1 + 4 - 3)) to f*u + i and give i.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -18*n + 7. Let t(s) = s**2 + 5*s - 15. Let m be t(-7). Let y(b) = -b. Let k(h) = -4*h + 3. Calculate m*k(p) + n*y(p).\nAnswer: 2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 69971.2 litres in millilitres?\nAnswer: 69971200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -5, 2, -1\/59?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f**3 - 5*f**2 + 5. Let g(z) = 5*z**3 + 6*z**2 - 6. Let q be (-40)\/12*(-9)\/6. What is q*g(c) + 6*l(c)?\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -209*f**2*g**2 + f**2 + 2*g + 1 wrt g?\nAnswer: -418*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c - 30 - 2 = 0. Let k be (-64)\/(-24) - (-3)\/(18\/c). Solve k*v = -v - 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 787650, 3150603, 7088858, 12602415, 19691274?\nAnswer: 28355435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*n - 24 = 48*n. Let s be 8\/14*(n + (-2)\/4). Solve s*t = -t - 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilometer in centimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2*q - 5 = 0, 5*o + 3*q = -2*q + 25. Let u be 12 + 5 + (-2 - 1) - 2. Calculate the common denominator of -17\/9 and (-55)\/8 + o\/u.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 521 = -4*z + 54, 0 = 2*v + 5*z - 200. Suppose -3*t - v = -4*t. What is the third derivative of -51*f**6 - 8*f**2 + t*f**6 - 52*f**6 wrt f?\nAnswer: -960*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3659657*0.5\nAnswer: -1829828.5","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-165) - (-192)\/(-11088). Let h(g) be the second derivative of 0*g**3 + k*g**6 + 1\/10*g**5 + 0*g**2 - 2\/21*g**4 + 10*g + 0. Factor h(i).\nAnswer: 2*i**2*(i + 4)*(2*i - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-24)*((c**15\/c)\/c)\/c*c)\/(c*(c**(-16)\/c)\/c*c*c**(-33)) assuming c is positive.\nAnswer: c**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 5841*k**3 + 14*k**2 + 84*k - 511. Is m(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 t, and 1 k when three letters picked without replacement from {k: 5, t: 2, s: 8, f: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 12744 divided by 4\nAnswer: 3186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 440 divide 2812040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0054475 rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -116, -183, -254, -329, -408?\nAnswer: -491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -309*p**2 + 70*p**2 + 125*p**2 + 119*p**2 - p**3 + 1601 as d*p**3 + y + a*p + w*p**2 and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 358075519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/(-16))\/(45\/10)*(1 - -1). Which is the second biggest value? (a) g (b) 0.74 (c) 0 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 28, 68, 108?\n\"Answer: 40*q - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -504*s**2 + 105*s**4 + 60 - 154*s - 41*s**2 + 67*s**3 + 133*s**3 - 104*s - 322*s = 0.\nAnswer: -3, -1, 2\/21, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9902995.\nAnswer: 5, 23, 86113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -12*(9\/(-6) - (0 - 2)). Let f(w) = -w**2 - w - 4. Calculate f(q).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -5 in ascending order.\nAnswer: -5, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 238cd75 (base 14) to base 7.\nAnswer: 264425505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004701469 rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t - 18*t - 16827 = -176*t - 89*t for t.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 + 0. Let m = o + 5.1. Let v = -0.08 + -0.92. Sort -0.5, v, m in decreasing order.\nAnswer: m, -0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_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: What is the value of -3 + ((4 - 1) + -1 - 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 0*z - 4*d + 19, -d - 2 = 2*z. Is -3 >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -b**7\/168 - b**6\/6 - 29*b**5\/16 - 235*b**4\/24 - 175*b**3\/6 - 49*b**2 + 79*b. Let w(g) = 0. Calculate g.\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -214 or -0.08045?\nAnswer: -0.08045","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11559785024*b**2 + 2*b - 3*b + 11559785024*b**2 + b - 39*b**3.\nAnswer: -39*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1195198?\nAnswer: 2, 597599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/300 and -86\/132075.\nAnswer: 528300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8387223 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -8.3. Which is the third smallest value? (a) 5 (b) j (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 193, 762, 1709, 3034, 4737, 6818, 9277?\nAnswer: 12114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 493362 is divided by 61?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u + 17. Let f be s(-5). Let p be (-2)\/(-3) - f\/(-9). Suppose p*g - 3 - 1 = 0. Solve -g = -4*x - 3*j, x - 11 + 4 = -4*j for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 171 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.72 and -32832750.\nAnswer: -32832750.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 266*q**3 - 78*q**2*r + 50*q**2 - 408*q*r - 2*r + 4224 wrt q.\nAnswer: 1596*q - 156*r + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 3*a - 129, 6*d = d + 3*a + 195. Suppose -d*q + 38*q = 18. Factor q - 4 + l**2 - 5 + 3*l - 4.\nAnswer: (l - 1)*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1020 + -120?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1017 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -45720*a**2 + 2*a*g**2 + 2*g**2 - 4*g + 265283 wrt a?\nAnswer: -91440*a + 2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4*r + 3*r - 2*r. Let j(c) be the second derivative of c**4\/6 - 389*c. Calculate o(j(m)).\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 20. Suppose 9*p = 10 + t. Find the third derivative of 0*l + 0*l - 12*l**5 + 13*l**p + 24*l**5 wrt l.\nAnswer: 720*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (33 - 1 + 10)*(-2*h**4 - 2*h**4 - h**4) to u*h + o*h**3 + z + g*h**4 + p*h**2 and give g.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3553037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y + 12. Let o be v(-12). Let b(c) = c**2 - c + 113. What is the remainder when b(o) is divided by 30?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4934 is divided by 1599?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.1 - -2. Let x = -8\/13 + -2\/39. Is x at least as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hlhbnbihnihihhi. What is prob of sequence inh?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 10*u - 24 = -6*s, 2*u = s - 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 1055 = 2*j - 4*j, -545 = -j - s. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -5*h**3 + 7*h - 7*h**2 + 4*h**3 + 6 - 1 - 6. Determine v(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -15. Let p be (f + (-5)\/2)*14. Is -4 != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-9)\/(-135))\/(4\/50). Which is the nearest to 0? (a) 3 (b) -0.1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (29 + -45 - -43) + -43\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by (-252)\/(-48)*4\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 161\/190710 and 125\/182.\nAnswer: 1334970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 99577 or 99616?\nAnswer: 99616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264178 is divided by 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -23002 (base 4) in base 8?\nAnswer: -1302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 248829894 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 2*a + 700 = -1990, -3*c + 4049 = -5*a. Which is smaller: c or 5355\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssyasiaaaaysasaa. Give prob of sequence is.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 + 45. Suppose -63 + r = -m. List the prime factors of m.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -798*b - 275*b + 27898 = 0 for b.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 28 + 2 = 0. Suppose 22*l = p*l + 616. Which is bigger: 87 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33\/13 - 119\/52. Which is bigger: o or 18\/5?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 115011 (base 6) to base 8\nAnswer: 23657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -490*r**3 - 501*r**3 + 1532*r**3 - 505*r**3.\nAnswer: 36*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 0*f = 10. Suppose -2*z - 9 - f = 0. Let q = z + 13. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-16)\/(-200))\/(3\/30*-1). Let t be (-35)\/42*(-4)\/(-10). What is the second smallest value in c, 2\/9, -0.03, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (16 + 1368\/(-84))\/(2\/(-42)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of m**3*x + 39*m**3 - 6*m*x**4 - 495*x**4 - 327 wrt x?\nAnswer: m**3 - 24*m*x**3 - 1980*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 9. Suppose w = 6*y - 7 - 83. Let s = 70 - 28. Calculate the remainder when s is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2352 and 1113?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3876\/22 - ((-46)\/(-11) + -4). What is the highest common factor of 16 and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5121, -5076, -5031, -4986?\n\"Answer: 45*v - 5166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**3 + 438*k**2 - 9060*k + 8624 = 0. What is k?\nAnswer: 1, 22, 196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*u + 56 = -29*u. What is the least common multiple of (-44 + 2)*(-1)\/3 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 188129*b. Let w(j) = 208*j. What is f(w(q))?\nAnswer: 39130832*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-20))\/(-7)*4.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -390, -807, -1300, -1923, -2730, -3775?\nAnswer: -5112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2666*g - 2640*g = 104 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2 + 3 - 434*k + 435*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*t**4 + 26*t**3 - 26*t**3 + (-20*t**3 + t**3 - 22*t**3)*(0*t + 0*t - 2*t).\nAnswer: 76*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {a: 14, d: 5}?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 + 14. Let n be 3\/(0\/(-4) + -1). Is (-5)\/(t\/112) + n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 times -5623\nAnswer: 281.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - 8685?\nAnswer: -8692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 86, 185, 310, 467, 662, 901?\nAnswer: 1190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5244852 - 29480052 = 36*t. What is t rounded to the nearest ten thousand?\nAnswer: -670000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 16 + 16 = -4*n, 4*u = 2*n + 86. Let g = 12 + -5. What is the remainder when u is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 4203 = -3207. Is -1234 at most as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*k + 2*k. Let x be k*1\/8*38. Solve 0 = 4*u - 12, -3*h = -4*u + 2 + x for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 + a - a)*(a + a + 0*a) - 14*a**3 + 1 + 38*a**3 - 19*a**3 - a.\nAnswer: a**3 - a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-246)\/136 - (-12)\/16. Let b = 3\/17 + t. What is the common denominator of b and (4 + (-2)\/(-2) + 66)*(-10)\/(-100)?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**5 + 126*u**4 + 804*u**3 - 3280*u**2 - 2856*u + 5202 = 0. What is u?\nAnswer: -17, -3\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20787 = -419*r - 49*r - 124*r + 5853 for r.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114 - 39 - 45 + 32*a + 206 - 32*a - a**2.\nAnswer: -a**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77 and 8624.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -428 = -n - 48*b + 51*b, 0 = -2*n - 2*b + 824. Calculate the greatest common factor of 104 and n.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1172528873*t + 320208990 with respect to t.\nAnswer: 1172528873","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 3 - (-267)\/(-178)*18.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g**2 - 3 + 2499*g**4 - 824*g**4 + 92*g - 2*g**3 - 828*g**4 + 1 - 840*g**4 to the form d*g**4 + m + c*g**2 + r*g**3 + z*g and give z.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(80) + 2 + sqrt(80) + 4 + 0 + sqrt(80) + (sqrt(80) - (sqrt(80)*-1 + 4)) + sqrt(80) + (-1 + sqrt(80))*3 + 4)**2.\nAnswer: 144*sqrt(5) + 2889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 299 (b) 8\/9 (c) -0.3 (d) 5\/2 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j - 46*j + 18*j - 3 + 7*j to the form w + g*j and give g.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 17*f + 39. Let b be q(9). Let c = -188 + b. Let x = 0.6 + -0.1. What is the smallest value in x, c, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -29 (b) -3 (c) -18.7 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-48))\/(10\/4)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 1, -28.\nAnswer: -31, -28, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -7*j**2 - j**3 + 6 + 0*j**3 - 4*j + 12*j. Let w be o(-8). Let c(n) = 2*n + n - 8*n - 3*n - w. Let r(v) = 7*v + 5. Calculate 5*c(p) + 6*r(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.051 (b) -57 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 7392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 528 + 14?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 136 - -11245?\nAnswer: 11382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1413743741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/3*1)\/(3\/4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0535 and -5?\nAnswer: -0.2675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1048 or 611773\/584?\nAnswer: 1048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/8 and -26\/4559021.\nAnswer: 36472168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**3 + 320*g**2 + 5425*g + 9610.\nAnswer: 5*(g + 2)*(g + 31)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + l - 1. Let t(a) = 7*a**2 + 22*a - 28. Let h(z) = 5*c(z) - t(z). Let p be h(-8). Let m = p + -27. Solve m*i = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 + 3*y**2 - 2*y**2)*(-3*y**2 - y**2 + 6*y**2) - 23 - 14*y**3 - 4*y**4 + 14*y**3 - 5*y**4 - 4*y**2 + 4*y**2.\nAnswer: -7*y**4 - 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 9.311315 minutes?\nAnswer: 558.6789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-8)\/h)\/h**(2\/3)*(((h*h*h**(-1))\/h)\/h)**(-1) assuming h is positive.\nAnswer: h**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5178, -10289, -15268, -20049, -24566, -28753, -32544, -35873?\n\"Answer: 11*c**3 - 5188*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/90 and 111\/70.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**2 - 29*v + 140. Calculate c(22).\nAnswer: 470","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 72 - 80. Let s be u\/20 - 36\/(-15). Solve 40\/3*f + 4\/3*f**s + 100\/3 = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -2. Suppose 2*p = 6*k - 2*k + 18, -i*p + 21 = -2*k. Let r(v) = v**2 + 4*v - 1. Let l be r(p). Solve 3*t + 4 - 16 = -2*o, 0 = 3*o - 5*t + l for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*n**3 - 14*n**3 + 9*n**3.\nAnswer: 47*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -t**2\/2 - 3*t + 27\/2 = 0.\nAnswer: -9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -5 (c) 2\/15 (d) -0.21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -23 - 56258a?\nAnswer: -562602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - ((9 - 6) + -9 + 53) - 6?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 4*x - 13. Suppose 6*m = 33 - 9. Let j be b(m). What is the highest common factor of j and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -3*x**4 + 0*x**2 + 20\/3*x**3 - 1\/5*x**5 + 28 - x. Factor s(a).\nAnswer: -4*a*(a - 1)*(a + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5, 4\/7, -1, 64?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 242.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-75)\/(-18) - ((-145)\/30 - -5). Suppose c = n*g - 47, 43*g + 13 = 45*g + 3*c. Calculate the remainder when 61 is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -478106900 by -95621380.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1665288 take away 16?\nAnswer: -16.1665288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (-24 + 0 + 13) - (-4 + 0 + 8).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 2*p + 2*j = 7*p + 5*p - 13, -4*p - j - 8 = -8*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s - 1. Let z(d) = -3*d - 5. Let b be z(-6). Let y = 17 - b. Give i(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 156 = 4*m, 120 = 4*m - m - 3*i. Suppose m - 27 = j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13614508 is divided by 455.\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011101000100 + -11101011101?\nAnswer: -110111010100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*q + 51*q - 22*q - 14*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(-6)*(m\/m**(2\/17))\/m*m)\/((m\/(m\/(m\/(m*m**3*m*m))*m))\/m*m**(-2\/21)\/m) assuming m is positive.\nAnswer: m**(1777\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - 13*b + 11. Let x be y(-12). Let w = x - 20. Solve -9 = w*q + 4*a, 0 = 3*q - a + 6 + 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f = -8*f + 476. Let o = f + 88. Solve 0 = -2*a - 4*k - 10, 2*k = -3*k - o for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 625\/(-125)*1\/1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 3:52 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 9. Let w be (3 - y)\/(-2) - -2. List the prime factors of 572\/24 + w\/12.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 98\/28*1296\/(-189)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -14*56\nAnswer: -784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 v, and 1 k when three letters picked without replacement from lllovlvklvloov?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3)*a**(-3)\/a)\/(a**(-2)*a**(-6)\/a) assuming a is positive.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93160818?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 15\/16, -3, 2, 0, -4\/5 in ascending order.\nAnswer: -3, -4\/5, -0.2, 0, 15\/16, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 j when three letters picked without replacement from {j: 6, n: 2, c: 3, y: 4}.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -0*d. Suppose 2*h + d*h = 6. Suppose -5*z + 219 - 44 = -h*g, 3*g = -z + 35. Calculate the remainder when z is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37*b**4*o + 142*b*o wrt b.\nAnswer: -444*b**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.029 + 176.\nAnswer: 176.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -2*v**3\/3 - v**2\/2 - 5*v - 2. Let z(k) = -2*k - 1. Let p be (-1)\/((-19)\/(-88) + (-14)\/112). Give p*z(r) + 6*q(r).\nAnswer: -2*r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 236\/14 + (-5)\/(-35). Let o = h + -14. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -5, -154, 4 in decreasing order.\nAnswer: 4, 1\/4, -5, -154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 77058 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 1 - 3*k + 0*k + 375*k**2 + 2*k**3 - 374*k**2 - 4. Let p(n) = -5*n**3 - 3*n**2 + 7*n + 7. Determine -6*p(x) - 14*v(x).\nAnswer: 2*x**3 + 4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 3 + 2 - ((1 - -4) + 6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 908 is divided by 32.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6042343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10363 (base 7) in base 16?\nAnswer: a21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 19 (base 10) to base 7\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 2*q + 3. Which is greater: q or -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j = -12*j + 99. Let g = 39 + j. Suppose -3*n + 185 = 5*b, -5*n - g*b + 2*b + 330 = 0. List the prime factors of n.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence muu when three letters picked without replacement from {m: 1, u: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pa when two letters picked without replacement from {a: 7, p: 10, b: 1}?\nAnswer: 35\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/7 and ((-94)\/66)\/(14\/42).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 10:32 PM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 502\/152 + (-6)\/24. Is 4 less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.394043 rounded to two dps?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -45667\/408 - -1980\/17. Find the common denominator of b and 71\/40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 33, 676, 4 in descending order.\nAnswer: 676, 33, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2732 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5*u - 33 = 0, -v = 3*v + 2*u - 44. Suppose -2*n + v = -9. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 2 (b) 3\/5 (c) 2\/5 (d) 37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(-2\/9)))**48*(v*v**(-4\/7))**(-29) assuming v is positive.\nAnswer: v**(-37\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*q*r**2 + 162*q*r + 244*r**2 - r wrt r?\nAnswer: -8*q + 488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14774?\nAnswer: 2, 83, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/665 and -92\/1197?\nAnswer: 5985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41389?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -282 + 1062. Let m be (76\/10)\/(4\/j). Is 56 a factor of m\/9 + 10\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vo when two letters picked without replacement from vfyofvrddffvyyovd?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8478951, 8478959, 8478977, 8479011, 8479067, 8479151, 8479269, 8479427?\nAnswer: 8479631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 11.01 * -33179\nAnswer: -365300.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 109*s - 309*s + 23*s**2 + s**4 + 8*s**3 + 92*s + 110*s to the form n + y*s**2 + a*s**4 + j*s + t*s**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -2 + -3 + (15 - 11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 9*u**2 + 6*u - 10. Let f be k(-8). Suppose -m - 120 = -f*m. Is 7 a factor of ((-126)\/m)\/(1\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -2\/3*m**3 + 0*m + 0 + 0*m**4 - 1\/60*m**5 + 5*m**2. What is the derivative of u(j) wrt j?\nAnswer: -2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.062 - 93.062. Let k = 231178767 - 231178859.999877. Let a = k - j. Round a to five dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19 and 2043855099?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of 13*m**3\/6 + 55*m**2\/2 - 137*m. What is the units digit of x(48)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 4 = 226*q - 224*q, -2*q = 5*u + 31 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, f: 1, p: 6, o: 3}. What is prob of sequence fpop?\nAnswer: 15\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2017, 1973, 1929?\nAnswer: 1885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*v = 195 + 408 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 10, 5*j - 6402 = 29*f - 28*f. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 3. Let h(b) be the first derivative of -3*b**4\/4 + 2*b**3\/3 - b + 20. What is h(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g + 9 = -21. What is the derivative of 2*k**g - 2*k**2 + 3*k + 3*k + k**3 - 22 + 0*k**2 wrt k?\nAnswer: 3*k**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 155*0.2\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-4))\/(3\/(-4)). Suppose l*r - 7*r = 15, -r = n. Factor -2\/5*o**n + 0*o**2 + 0 + 2\/5*o.\nAnswer: -2*o*(o - 1)*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*n = -101, -4*z + 4*n - 3*n = -237. Calculate the remainder when z is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a millennium in centuries?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/2)\/b**(1\/3))**(23\/4)\/(((b*b\/(b**(-2\/9)*b))\/b)**(3\/29)\/(b*b\/b**(-1\/2)*b*b*b**(-7))) assuming b is positive.\nAnswer: b**(-363\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -151490334*w**2 + 6553*w - 319?\nAnswer: -302980668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b**2 - 3577865*b + 35779150 = 0. What is b?\nAnswer: -715583, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 14 = -4. Let u(n) = n**2 + 7*n + 9. Let b be u(a). Suppose b*q - 418 = -37. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -578*y + 30. Let j(m) = -4 + 116*m - 2 - 41*m + 41*m. Let w(x) = 3*d(x) + 16*j(x). Find the first derivative of w(o) wrt o.\nAnswer: 122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 1)*(-11 + 11 + 5*l**3) + 0*l**3 + 0*l**3 - 2*l**3 + l**3 + 0*l**3 - 2*l**3.\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 75503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -c7b?\nAnswer: c79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 4*p**2 - 44*p + 100. Let u(w) = -w. Let s(j) = o(j) - 4*u(j). Factor s(h).\nAnswer: 4*(h - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5060 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 + 3. Let d = 92 - b. Let t = d - 35. Does 16 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)*-2 + -5)**2.\nAnswer: 60*sqrt(2) + 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 229 + 119 = 46*v, -2*v + 4*g + 68 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.39764 + 0.55941. Round n to two decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1102 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -51*(100\/(-30) + 0\/(-1)).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 3, 9, -2, -21, -1.\nAnswer: -21, -16, -2, -1, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144 = 26*m - 8*m for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 40 = -1. Let r(f) = -f**2 + 13*f - 7. Calculate r(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.54165 decades to months.\nAnswer: 7024.998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 0 - (27 - 30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + 1)\/(2\/6). Let r(z) = 11*z**2 - 4 - 2*z**2 - 4*z**2 - 6*z**2 - 4*z. What is r(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26804*m**3 + 33714*m wrt m?\nAnswer: -160824*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*o + 40 = 2*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -4*o + 93. Let i(z) = -z + 23. Let x(f) = -2*h(f) + 9*i(f). Let v be x(-7). Suppose 0 = -13*p + v + 206. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 430117 is divided by 209.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*r + 522*q - 523*q - 97 = 0, 0 = -2*r + q - 3 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 3 + 33 = -4*m, 5*m = 2*y - 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -5, -1, 0.2, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 37921240 and 680.\nAnswer: 644661080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*3*(sqrt(832)*3 - sqrt(832))*-5*5*5)**2.\nAnswer: 468000000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 237998477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50 - 26. What is the units digit of (9\/4)\/(6\/c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) + 1*sqrt(275) + sqrt(275) + sqrt(275) - sqrt(275)) + sqrt(275))**2 + 2*(-2 + sqrt(11) + sqrt(11)) - (sqrt(99) + 1 + -2 - sqrt(99))**2.\nAnswer: 4*sqrt(11) + 4395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 3*m = -36. What is the derivative of -2764*v**m + 2713*v**4 - 8 - 4 wrt v?\nAnswer: -204*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 1)\/(0\/13 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*c - 80 = 199*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9000, 8990, 8960, 8904, 8816, 8690?\nAnswer: 8520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-15)\/25)\/((-11883)\/1320 - -9). Calculate the highest common divisor of 192 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15\/(-636)*(-96)\/1590. Which is smaller: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1403310133 (base 5) in base 14?\nAnswer: 68dd39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 920, 704, 490, 278?\n\"Answer: b**2 - 219*b + 1138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 3:02 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26061 + -26064. Let i(j) = -j + 16. Let d(a) = a - 8. Give m*i(y) - 5*d(y).\nAnswer: -2*y - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2373 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of s**6\/30 + s**5\/120 + 7*s**3 - 28. Let f(q) be the third derivative of i(q). Let c(a) = -2*a**2. What is f(c(o))?\nAnswer: 48*o**4 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 28, -56, -200, -410?\nAnswer: -692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 105471, 105482, 105493, 105504, 105515?\n\"Answer: 11*q + 105460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**2\/6 - 8*j\/3 + 32 = 0.\nAnswer: -24, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (492\/(-574))\/((-2205)\/686)?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ook when three letters picked without replacement from {l: 3, r: 1, d: 2, k: 5, o: 6}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 90569292 rounded to the nearest 10000?\nAnswer: 90570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -306*n**4 + 123*n**3 + 80368*n wrt n.\nAnswer: -3672*n**2 + 738*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(-4*c**2 + 2*c**2 + 4*c**2) - 368*c - 6905*c**2 - 8409*c**2 + 736*c - 368*c.\nAnswer: -15310*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11120222212102222 - 12?\nAnswer: 11120222212102210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**2. Suppose -6*x + x + 15 = 0. Suppose -5*d + 0*r - x*r = -91, -5*d + 4*r + 77 = 0. Let z(m) = -d - m + 17. What is f(z(c))?\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 13 = 3*c, -3*j + 7 = -c - 0*c. Let t = 0.91 + -1.41. What is the biggest value in 4, j, t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7521*f = -7633*f - 1456 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 249737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 30*l**2 + 497*l - 14. What is the tens digit of r(-23)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - -2 - (-1 - 0\/2). What is the derivative of 1 - 3*r**3 + 0*r**g - r**3 + 13 wrt r?\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4021028, -4021018, -4021008, -4020998, -4020988?\n\"Answer: 10*j - 4021038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 139365820 to the nearest integer?\nAnswer: 11805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -447, -940, -1433, -1926, -2419, -2912?\nAnswer: -3405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*y**2 + 479*y**2 + 1589*y**2 + 22*y**3 + 188*y**2 - 20*y**3 to u*y**2 + g*y + q*y**3 + b and give u.\nAnswer: 2222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 r when two letters picked without replacement from {q: 1, r: 1, w: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/4))**9\/(s**9\/s*s\/s**6) assuming s is positive.\nAnswer: s**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.42632 and -4?\nAnswer: 4.42632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -504*j - 1177*j**2 - 134*j + 132*j - 163*j wrt j.\nAnswer: -2354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eighty-nine halves of a decade?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**4\/4 - 75*b**3\/2 - 1125*b**2\/4.\nAnswer: -5*b**2*(b + 15)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3*d**4 + 40*d - 41*d - 2*d**3 - 5*d**4 as k*d + t + w*d**2 + i*d**4 + g*d**3 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2976\/80)\/(-31))\/((-6)\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.922 times 0.488?\nAnswer: -17.529936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0, 11, 0.1, 0.45, 4\/3, -4 in ascending order.\nAnswer: -4, 0, 0.1, 0.4, 0.45, 4\/3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1626 - -96.1574. Let j = w + -97. What is j rounded to 0 dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 62\/9*w + 20\/3 + 2\/9*w**2.\nAnswer: 2*(w + 1)*(w + 30)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - 1211.245.\nAnswer: -1214.245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n\/((n\/(n*(n\/n**(1\/4))\/n*n))\/n)*n)))\/n*n\/(n\/(n*n*n*n*n**(-8))*n*n))\/(((n**(-1\/13)\/n)\/n)\/n**(2\/11)) assuming n is positive.\nAnswer: n**(-567\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128112320?\nAnswer: 2, 5, 7, 57193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 3*d + 4 + 14, 2*p + 2*d = 14. Suppose 2*v + 3*k - 220 = 0, p*v - 302 = k + 50. List the prime factors of v.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.12 - 6812.\nAnswer: -6811.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (2*sqrt(147) + sqrt(147))*-4)**2 + -5 + 0 + (3 + 2*sqrt(75) + sqrt(75))**2 + (sqrt(75)*-2*5)**2.\nAnswer: 594*sqrt(3) + 29356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6981 + -1818. What is the thousands digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 - -21. What is the hundreds digit of 150 - (0 + -4)*s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -21*w**2 + 87*w - 7. Let z be n(4). Solve 2*r + 6 = -6*y + 4*y, -2*r + z*y = 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2554052.\nAnswer: 2, 191, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -0.428.\nAnswer: -0.0428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 13. Let n be x*(1 + 3\/(-6)). What is the remainder when (-1)\/2 - (-26)\/n is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 52*x - 556. Give u(-37).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -6*r**2. Let m(n) = 2*n**3 + 19*n**2 - 13*n - 28. Let o be m(-10). Let z(h) = -4*h**o - 6560*h + 6560*h. Calculate z(l(p)).\nAnswer: -144*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 3, c: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l + 3*w + 71, 3*w + 38 = -32*l + 34*l + 32 - 55 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 203\/1170 and -29\/23270.\nAnswer: 209430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 314*v - 6*l = 312*v - 98, 0 = v + 5*l + 25 for v.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of b**6\/80 + b**5\/120 + b**4\/8 - 7*b**3\/3 + 13*b**2. Let v(j) be the second derivative of t(j). Determine v(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1140583 litres in millilitres?\nAnswer: 114.0583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -240?\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-42)*(3 + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 206500 to the nearest 10000.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-2)*(7 - -3). Let c = 5 + x. Which is smaller: 3\/4 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -221 + 192.9. Let g = -27 - p. Round g to 0 decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2 = 7. Let v(q) = 3*q**2 + 7*q - 1. Let k be v(m). Suppose -b + k = -0*b. Solve b*f - f + 2*i - 16 = 0, 3*f - 2*i = 19 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -3*g**2\/2 - 21*g\/2 + 441 = 0.\nAnswer: -21, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 81, 398, 915, 1626, 2525?\n\"Answer: -x**3 + 106*x**2 + 6*x - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-203)\/174*(1196\/(-3003))\/23?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/2 and (264\/2464)\/((-121)\/96 + 1)?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 385938.5mg?\nAnswer: 0.3859385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/18 and -2 - (-3)\/2 - 1\/(-68).\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 10*m**2 + 9*m - 10. Let h be w(-11). Let q = h - -10. Does 11 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + f + 1. Let s(h) = h - 1. Let u be 1\/(1\/3) + 1. Suppose -4*l - 4*w = u, -2*l = -3*w + 2*w - 4. What is l*s(v) - a(v)?\nAnswer: v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -3*a + 4, -2*i = 3*a + 5 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*a - 88*a + 168 = 0 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 160268 to the nearest integer?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -42*v**3*y + 7*v**3 - 5*v**2*y - 2*v*y + 7*v - 39*y wrt v.\nAnswer: -252*v*y + 42*v - 10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 674 = -6*i + i, -p - i = -224. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 + -0.2. Let p = -3 + 2.6. What is the third smallest value in z, 0.5, p?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of 85*f**8\/224 + 11*f**7\/6 + 9*f**6\/8 - 19*f**5\/3 - 175*f**4\/16 - 5*f**3\/6 - 4574*f**2. Find q, given that x(q) = 0.\nAnswer: -2, -1, -1\/51, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 878810 to the nearest 10000.\nAnswer: 880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + k = 0. Let r = 4.2 + 0.8. Which is the closest to 0? (a) k (b) r (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 78*u**2 - 2\/3*u**4 - 118\/3*u - 38*u**3 + 0.\nAnswer: -2*u*(u - 1)**2*(u + 59)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 8, -1.2, -105, -125, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x\/((x\/(x**(-1)*x)*x)\/x)*x\/x**(-21) assuming x is positive.\nAnswer: x**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81 divided by -1571332.\nAnswer: 81\/1571332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - (0 + sqrt(1053) - sqrt(13))) + sqrt(13) + (sqrt(637) - (1 + sqrt(637))))**2 + -3.\nAnswer: 12*sqrt(13) + 466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40 - -40. Suppose k = 4*o + f - 11, 2*f - 3 = -o + 5. Suppose o*a - 8 = 2*n, -3*a + 2*n - 2 = -6*a. Solve a*h = -3 - 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 0, -3*x + 4*u - 45 = u. Let f be ((-6)\/(-8))\/(x\/(-10)). Factor -5\/8*i + f + 1\/8*i**2.\nAnswer: (i - 4)*(i - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - 8*i + 79. Give z(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 322909741 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.21 and 4627.\nAnswer: -971.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(12\/368)*31\/62. Is l equal to -34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2492, -2485, -2480, -2477, -2476?\n\"Answer: -y**2 + 10*y - 2501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 515 is divided by 255.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 659012.5 years in centuries?\nAnswer: 6590.125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45 - 42. Suppose 8*m = 11*m - 93. Let u be (-3 - (-33)\/9)*(m + -1). Sort 5, u, 4, p in increasing order.\nAnswer: p, 4, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60916 - 67*o + 61*o + 60916.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**2 + 8*i + 5. Let q be w(-5). Suppose 4*g - g = q. Let b be -10*(2 + g\/(-2)). Sort -4, b, 4 in decreasing order.\nAnswer: b, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 701513560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -10 + 52. Let i = 14 + f. Solve i = -5*v + 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10763 (base 11) in base 15?\nAnswer: -4922","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 2792576.\nAnswer: 1\/698144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/(-36)*12\/(-1). Which is the third biggest value? (a) v (b) 0.3 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1967774498*r**3 + 7454*r**2 - 1967774502*r**3 - 7454*r**2.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + w - 2, 0*w = -2*f + 3*w + 19. Suppose -f*j = -4*k + 17, -15 = 4*j - j. Put k, 0, 3 in decreasing order.\nAnswer: 3, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -3*k. Suppose -z + 31 + 5 = k. Suppose z + 118 = 2*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 154 = 64. What is the smallest common multiple of i and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*-1*-1 + 0. Suppose x + 2*i = p, 4*x = -x + i + 10. Suppose 4*c + 52 = x*a, 0 = -4*a + c + 2*c + 109. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 4:00 PM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7*(-1)\/(-2 + 1). Let a(d) = 14 - d - 1 + 9*d - 15*d. Let s(y) = 6*y - 12. Let q(o) = -5*a(o) - 6*s(o). What is q(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-35*d - 9*d + 0*d)*(42*d + 591*d - 129*d) as x*d**2 + i*d + w and give x.\nAnswer: -22176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 42?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**3 + 5*k**2 + 3*k + 4. Let n be t(-3). Let o = -2 - n. Let u = -3096 + 3099. Calculate the remainder when o is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u\/(u*u\/u**(-1\/9)))\/u*u)\/(u*u*u*u\/(((u*u\/(u**(-1)*u))\/u)\/u)*u*u)*(((u\/(u**0*u))\/u)\/u)**(1\/5) assuming u is positive.\nAnswer: u**(-248\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 273 = 687. Suppose 34*a - 22*a = s. Solve -3*q - q - a = -4*o, 2*o + 3*q - 3 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 147924 and 954?\nAnswer: 7839972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.2 + -0.2. Let k = 0.9 - t. Let j = 0.9 + -1. What is the nearest to k in j, 1, 0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-37)\/(-74)*162 - 40.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2117*p - 2084*p + 33 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00023459724 rounded to 5 decimal places?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-24)\/22 - (-19)\/((-55385)\/4346).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y + 13. Let p(g) = 4*g**2. Let v be p(-2). Suppose v*z - 11*z = 0. Suppose u + 4*r + 0*r = z, u - 3*r = 0. Give k(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -6*x - 14*x**2 + 6*x**2 - 1 + 6*x. Determine p(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20 - 3*s - 20 + 3*s + 28*s + 13*s + (s + 2*s - 5*s)*(-5 + 4 + 2) - 21 + 21 - 5*s.\nAnswer: 34*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 24, 67, 138, 243, 388?\nAnswer: 579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 765 + -650. Is u a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 greater than or equal to -56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 7 + 13. Let p = 101 + -97. Suppose i*g - 3*n - 1780 = -n, -3*n = -p*g + 1780. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 7*u**4\/3 - 17344*u**3\/3 + 44492*u**2 - 237088*u\/3 - 79040\/3 = 0.\nAnswer: -2\/7, 4, 2470","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*o = 266*o - 1776. Let c(v) = -v**3 + v**2 + 2*v. Let t be c(2). Solve t = 7*d - o*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -532\/5 - -107. Which is the closest to 0.1? (a) y (b) -0.02 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 120 = -2*b. What is the units digit of (b\/9 - -2)*-12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x + 114*x - 119*x + 13*x**2 - 3*x**2.\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -12221 (base 4) in base 14?\nAnswer: -225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 49.206 and -1.767285.\nAnswer: 47.438715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g - 7*g**2 + 5 + 18*g**2 - 7*g**3 - 11*g**2 as d + m*g**3 + o*g + z*g**2 and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - 0.37\nAnswer: -0.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38)\/(-18) - (-5)\/(-45)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (366\/15*-5)\/(10\/14 + 612\/476).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.06? (a) -1\/2 (b) -3\/5 (c) -4 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -393 + 2852. Suppose 3*q + 1971 = 4*l, 12*q - 13*q + v = 5*l. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22015115021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 - (1 - 3) - (5 - 30 - -22)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*f + 4*f**3 + 0 + 1)*(5*f**2 - 9*f + 9*f).\nAnswer: 20*f**5 + 10*f**3 + 10*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2\/53 (b) -4 (c) 4 (d) -474 (e) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 10:35 AM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**2. Let x(r) be the first derivative of -5*r**3\/3 + 5. Give y(x(f)).\nAnswer: 50*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-17 + 5 - -9) + 17\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20765\/3 or 6923?\nAnswer: 6923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29\/10, 9, -1\/2, -1\/6 in decreasing order.\nAnswer: 9, -1\/6, -1\/2, -29\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 6*z**2 - z - 13. Let c(o) = 5*o**2 - 2*o - 12. Let p(u) = 5*c(u) - 4*x(u). Let r be p(7). Let l = 1 + -1. Is l at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(102)\/sqrt(3) + sqrt(34) - sqrt(34))\/((sqrt(200) - sqrt(200)*-2) + sqrt(2)))**2.\nAnswer: 68\/961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*d + 5*d - 450 = 0, -5*x + 2236 = d. Suppose 3*o - 4*m = 26984, -m + 18451 = 2*o + x. Round o to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -15. Let r = -19 + a. Let f(x) = 31*x - 116. Let l be f(4). Put l, 1, -1, r in decreasing order.\nAnswer: l, 1, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 6*(sqrt(75) - (4 + 0 + sqrt(75))))**2 - (0 + ((2*sqrt(72))\/sqrt(2))\/(sqrt(48)\/sqrt(4)*5))**2.\nAnswer: 14388\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m + 3*l - 8*l + 25, -5*m = -4*l - 25 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**2 - 3*l**2 + 2*l**5 + (-l**4 - l**2 + l**2)*(-4*l - l + 3*l + (0 + 4 - 3)*(0 - l + 0) - l + 7*l - 4*l).\nAnswer: 3*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011011 + 100000?\nAnswer: -11111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*j**3 - 72*j**3 - 58*j**3 + 213*j**3.\nAnswer: 15*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d7435 (base 16) to base 11.\nAnswer: -10a9292","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-18))\/(5\/30)*(-46)\/(-2806).\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-131660)\/(-681) - (4\/3 + -1). Solve -t*j = -185*j + 48 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 5:03 AM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110.62038*-0.02.\nAnswer: -2.2124076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -6*j + 132. Suppose -17*n + 625 = 1135. Let q = n + j. Solve f = q - 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 17*b + 0*b**2 + 1\/20*b**5 - 1\/2*b**3 + 0 - 1\/6*b**4. Solve c(p) = 0 for p.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36485 - 119361 = -2413*q + 51196 - 1357 for q.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -731843141\/928 + 788624. Calculate the common denominator of h and 31\/1276.\nAnswer: 10208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from eeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -0.85406\nAnswer: 0.85406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1203.9999094 - -1204. Round j to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 + 0.09267\nAnswer: -20.90733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*f**3*n - 9*f**3 + 36384*f**2*n + 6*f*n - 2*f + 32688 wrt f?\nAnswer: 18*f*n - 54*f + 72768*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 94153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 11:48 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**3 - w. Let b(d) = -22*d**3 + 12*d**2 - 4*d + 1171. Let i(o) = -b(o) + 4*k(o). Differentiate i(j) wrt j.\nAnswer: 42*j**2 - 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88 divided by -75.\nAnswer: -88\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x - 12 = d, -4*x + 9*d = -970 + 948 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209)*5)\/sqrt(11) + (0 + sqrt(19))*-2.\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 259586231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l + 6*l - 6299*l**2 + l.\nAnswer: -6299*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z**4 + 312*z**3 + 6080*z**2 - 312*z - 6084 = 0 for z.\nAnswer: -39, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*(-10)\/(-20))\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lvqqoqeqovocel. Give prob of sequence qovq.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + -2. Let v = 8.9 + -12. Let s = v - z. Sort s, 0, 2.\nAnswer: s, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180 divided by -18.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 5.781.\nAnswer: 2.8905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89, 89, 91, 95, 101?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 194 - 1360\/7. What is the closest to a in 3, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t + 2*p + 2*p = p - 76 + 209, 8*p = 8 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/10 and 91\/146?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -277, -573, -889, -1225, -1581, -1957?\nAnswer: -2353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - ((0 - 8) + 4 + 22)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 855 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by 7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4894871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(121) - 3*(sqrt(121) + 2*sqrt(121))))\/(-5*1*sqrt(1331)).\nAnswer: 48*sqrt(11)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 12964*i + 1021. Is b(102) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 - 24. Is m a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhh when four letters picked without replacement from {h: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 + (-12 - 5) - -23?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 + 26. Let j be (1557333\/n - 2)*-2. Suppose -48442663 = 10*x + j. Round x to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -981*r**3 + 1212*r**2 + 7*r. Let s(d) = -491*d**3 + 606*d**2 + 4*d. Let g(u) = 7*s(u) - 4*x(u). Find the third derivative of g(m) wrt m.\nAnswer: 2922","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a factor of 45618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of 10*m**7\/21 - 2*m**6\/5 - 32*m**5\/5 + 8*m**4\/3 + 32*m**3 + 32*m**2 + 13*m. Let y(z) = 0. What is z?\nAnswer: -2, -1, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -4*t**3 - 3*t**2 - 3. Let p(l) = 0*l - 13 - 13*l**2 + 0*l - 17*l**3. Let m be 3 + (-4)\/4*29. Give m*q(a) + 6*p(a).\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2533*o**3 + 101*o**2 - 1201*o**3 - 101*o**2.\nAnswer: -3734*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1931.814ms to minutes.\nAnswer: 0.0321969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) 0.78 (c) -4361 (d) -5 (e) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 312874?\nAnswer: 2, 156437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 1)*(2*n**2 - 3*n + 3*n) + (1 + 3*n - 6*n + 2*n)*(4 - 4 + n).\nAnswer: -3*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + 2.808?\nAnswer: 3.308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -467 - -478. Suppose -5*t - 7*s + 2*s = -15, 1 = t + 3*s. Suppose a - 25 = -t*a. Calculate the remainder when y is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 152*l**2 - 5*l - 5. Let u be z(-1). Suppose 3*g = g + u. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 5*z + 91, -17*z - 1671 + 1360 = 5*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -5*j + 25. Suppose 4*c + 0*c - 1 = -j*k, 0 = 3*k + 4*c + 1. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 964002 is divided by 17527.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -y + 4. Calculate the remainder when 27 is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 9:25 AM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - t + 1 + t. Let r(v) = -v**3 - 6*v**2 - 4*v + 6. Let g = -2 + -3. Let d be r(g). Determine y(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, o: 2, w: 2}. Give prob of picking 2 o and 2 w.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20432.3*-15.56.\nAnswer: 317926.588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 22063373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 12\/29?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -72.78607097 rounded to 1 dp?\nAnswer: -72.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 8) to base 12\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 6:14 AM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {s: 9, k: 3}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 553915494 to the power of 1\/2, to the nearest integer?\nAnswer: 23535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhw when three letters picked without replacement from {h: 6, w: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*o**2 - 2*o - 6*o + 3*o - 5*o + 2*o**3 + 0*o to p*o + v*o**3 + a + m*o**2 and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -83*p + 5. Suppose 7*q + 210 = 12*q. Let c = q + -43. What is the units digit of h(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4\/31989977 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o**7*o*o)*o\/(o\/(o**2\/o)))**(-23)*((o**(2\/3)*o)**(-18\/11))**(-2\/41) assuming o is positive.\nAnswer: o**(62298\/451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 7 = -5*t. Let z = 7 + t. Suppose -z*j - 5 = -41. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 902 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 132407 to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.7 - -1. Let j(i) = 4*i**2 - 322*i - 8780. Let n be j(102). Which is the nearest to -2? (a) n (b) -3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -86, 0.128822, 3\/7, 2?\nAnswer: 0.128822","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3347405 is divided by 66947.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 7 = -3*x + 3*l, 0 = 5*x - 5*l + 20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 62a1a - 745?\nAnswer: 62295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -120 + 105.6. Let u = 14 + g. What is the biggest value in 1, u, 1\/2, 0.7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 12:58 PM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2880456.\nAnswer: 2, 3, 257, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -5*h**3 - h + 1. Let d(j) = -21*j**3 + 3*j**2 - 9*j + 10. Let i(q) = d(q) - 5*k(q). Let l(p) = p**3 + p - 1. Give i(z) + 4*l(z).\nAnswer: 8*z**3 + 3*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 4*s + 5. Let c(r) = 3*r**2 + 7*r + 9. Suppose 1078 = -120*h + 30*h - 64*h. Calculate h*q(u) + 4*c(u).\nAnswer: 5*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -3. Suppose 4*a = 4*d + 8, 4*a - 14 = -a + d. What is the closest to -1\/4 in 8\/5, a, k?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.1922877 to 1 decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*s + 135 = 0, 4*s + 179 + 193 = 3*n. Calculate the remainder when 3837 is divided by n.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-126) + 180\/810. Which is smaller: 2\/69 or v?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -34304*y + 68564. Determine i(2).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1065 + 356*v - 357*v - 2137 + 1072.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 228 from -2.\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*g - 3*g - 3*g)*(-g**2 + 2*g**2 - 2*g**2) + (-5133*g**3 - 3409*g**3 + 1862*g**3)*(-1 - 1 + 3)*(-2 - 3 + 3) as j*g + f*g**2 + w*g**3 + t and give w.\nAnswer: 13361","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110 (base 2) to base 4.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1933147 is divided by 241618.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15793947*r**3 - 55790464*r**2 wrt r?\nAnswer: -94763682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**3*j - 1088*c**3 - 3*c**2 - 11*c*j - 2*c + 2 wrt c?\nAnswer: 6*j - 6528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 290155793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -26*q - 155. Suppose 4*w - 4*k = -8, 0 = -2*w + 23*k - 18*k + 8. Let x be c(w). What is the second smallest value in 0, 2, -1\/3, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 57768 and 120?\nAnswer: 288840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1175 (base 16) to base 6.\nAnswer: -32405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3516567.\nAnswer: 3, 643, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g + 4. Let v be u(0). Suppose -2*s + l - 3 = 0, 0 = -2*s - s - v*l + 1. Let m be 2 + (-57003)\/(((-9)\/6)\/s). Round m to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5757696 divided by -14688.\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 123 and 1353.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of a**5\/120 - a**4\/24 + a**3\/6 + 4*a. Let h(n) be the second derivative of k(n). Determine h(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8866 is divided by 874.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/20*(312\/(-91))\/(2\/(-14))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 1\/2, 3, -0.7, 0.7221.\nAnswer: -0.7, -1\/2, 1\/2, 0.7221, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16545 - 15828.9. What is t rounded to the nearest 10?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -3) + 12 + (44 - 44)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2. Let s(h) be the first derivative of 0*h + 0*h**2 + 11\/3*h**3 - 11. Give s(n(g)).\nAnswer: 11*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -6556 and -222879\/34 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of 0*p**3 - 2*p**2 - 1\/8*p**4 + 0 + 0*p. Let q(f) be the third derivative of -f**4\/8 - 2*f**2 + 82. What is r(q(n))?\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 37010?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 19\/36, 3, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -291511, -583009, -874495, -1165969?\nAnswer: -1457431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m**2 - m**2 - 7*m**2. Let a(y) = -5*y. Determine a(o(f)).\nAnswer: 25*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**5 - 10*d**4 - 8*d**3 = 0. Calculate d.\nAnswer: -2\/3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 463 - 463. Which is the smallest value? (a) x (b) -10 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 313 and 3435\/11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 269668.12 to the nearest 100.\nAnswer: 269700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -145395885.\nAnswer: 4\/145395885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -12337.74128 to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 33*v + 1961466 = 0. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 3:58 AM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 378666 to the nearest integer?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 - 22. What is the common denominator of 23\/5 and 46*3*b\/(-240)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185343*z - 9 + 65318*z + 16 - 7.\nAnswer: 250661*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 17*j**2 - 18*j - 632. Let b be v(-18). Let d = -17 + 22. Sort b, 3, -2, d in increasing order.\nAnswer: -2, 3, d, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 1 + 9. Let g(z) = z**3 - 9*z**2 + 9*z - 8. Let m be g(l). Let u = m - -10. Calculate the remainder when 16 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -153 - 91.\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 5 = -13 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -208841.087 to the nearest one thousand.\nAnswer: -209000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 4*4\/4. Suppose 0 = -3*u - 9, 3*q - p*u - 6 = 21. Suppose -4*k = w - 72, -5*w - q*k = -k - 292. What is the highest common divisor of 8 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2746.05 - -2746. Which is the third smallest value? (a) -2\/5 (b) 4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k + 273. Is j(74) a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9210351*n**2 - 9259293*n?\nAnswer: 18420702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -39576*z - 435356. What is s(-11)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110101010 - -1010100?\nAnswer: -1101010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33560.\nAnswer: 2, 5, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 0 = 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.95 + 0.05. Let t be 32\/(-112)*1\/(-2). Which is the nearest to -1? (a) t (b) -1\/4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11110011101110 (base 2) in base 13?\nAnswer: -713b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiwiiiwiwwiii. Give prob of sequence wi.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46655*g**3 + 3209*g - 3209*g + 46645*g**3.\nAnswer: -10*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 147a - 9a0?\nAnswer: 69a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhjhjjhhhj. What is prob of picking 4 j?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 155 and 119319.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 791 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 - (17 - (27 + -44)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 15*r**2 - 4. Suppose -736*z - 300 = -686*z. Let f(i) = 8*i**2 - 2. What is z*n(q) + 11*f(q)?\nAnswer: -2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1250)*2 - (sqrt(800) - (sqrt(800)*-2 + sqrt(800) + sqrt(800))))\/((1*sqrt(250) - sqrt(250) - sqrt(250)) + sqrt(90)*6).\nAnswer: 6*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 835 = -2*w. Let y = -307 + w. Is 1\/(y\/526 - 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 16*q**3 - q**2 + 3*q + 2. Let v be k(3). Find the third derivative of -r**2 - 145*r**3 - 4*r - 434 + 0*r**2 + v - r wrt r.\nAnswer: -870","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5776 a factor of 1561917040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - (-47 - -12)) + (-48 - -63)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 4*b - 74 - 96 = 0, 160 - 92 = 7*d + 2*b for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-84)\/(-112) + (-369)\/(-4). Calculate the greatest common factor of x and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 187090 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9434619 by 1048291.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 2 + -4 + 8 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 4\/7*q**2 + 0 + 2*q**3 - 10\/7*q**4 = 0. Calculate q.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 19.\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -8 + -138 + -5 + 16. What is the closest to l in 0, 0.5, 4\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.512 or -1.04056?\nAnswer: -1.04056","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - ca1e?\nAnswer: -ca24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2130 + 115160?\nAnswer: 113030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 181, 408, 621, 814, 981, 1116, 1213, 1266?\nAnswer: 1269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a**2 - 46*a + 22. Suppose -14*u - 41 = -4*b - 11*u, u = -5*b + 37. Let d(i) = -2*i**2 + 30*i - 15. Let o(p) = b*d(p) + 5*c(p). Determine o(10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 133153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22870 and 1269285.\nAnswer: 2538570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (8 + -14 + (4 - 32)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 62 + -60. Let r(q) = -8 - q**2 + 11*q - 8 + c - 4. Let b be r(9). Solve -i = -h - 2, b*h + 3*h + 6 = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 17*p + 14. Let n be t(-2). Let u = 23 + n. Solve -28 = c - 5*h, 0 = 5*c - 3*c + u*h - 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45.63 = -78822?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 166\/3 + -55. Let a = -2.06 + 0.06. What is the smallest value in j, a, -0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241775251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9929*m + 3*b = 9932*m + 75, 0 = 11*m + b + 215 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010201220 - -101?\nAnswer: -1010201112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 14, t: 1}. Give prob of picking 4 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 10:36 AM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + 3)\/4 - 60\/(-1). Let i be (2\/15 + 592\/r)\/2. Suppose -6*z + i*z + 23 = -5*l, -14 = -2*z + 2*l. Solve 0 = z*h - 11 - 1 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 80.07 - 82.07. Which is the fourth biggest value? (a) 106 (b) 4 (c) 0.3 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-3)*5\/10\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 9*n**2. Let t(h) = -956*h**2. Calculate q(t(s)).\nAnswer: 8225424*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from coociawoocooiowc. What is prob of sequence iiww?\nAnswer: 1\/10920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/4*(990\/75)\/(-22).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 381 in 6\/5, 28, 3\/5?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 24 = 2*r, -4*r - 9 = -3*s - 1. Differentiate 2*c**2 + s - 12 + 3 with respect to c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -5*d**3 - 1960*d**2 + 26*d - 20522. Let x(a) = a**3 + 490*a**2 - 6*a + 5130. Let f(k) = -2*j(k) - 9*x(k). What is the derivative of f(p) wrt p?\nAnswer: 3*p**2 - 980*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1121*b**2 - 326 - 4391*b**2 - 333 + 659.\nAnswer: -3270*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7.93 and 0.4.\nAnswer: 3.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 518468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -63 - -125\/2. Let h = 1.6 + 34.4. Let r = -37 + h. What is the nearest to o in r, 2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-2)*(-4 - -2). Suppose q = 3*q - g*q. Let u(f) = f**3 - f**2 - 5. Determine u(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0562 * 0.2.\nAnswer: -0.01124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -204 - -202. Which is the third smallest value? (a) -5 (b) m (c) 3 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 + 21. Let j be (2 - 24)\/(-5 + 3). Let w = j + b. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 l when two letters picked without replacement from {l: 1, h: 1, o: 3, q: 3, c: 1, v: 2}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -12 (b) -0.4 (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 27602667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 25.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) 3 (c) -3\/7 (d) -4.74028 (e) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 4*a - 24, 1135*r - 5*a + 56 = 1131*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + j. Let x(f) = -f**3 - 2*f**2 - 4*f - 8. Let n(r) = x(r) - 5*z(r). Calculate the least common multiple of 8 and n(-6).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 132 and 22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-18)\/(-12))*60\/18?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 40\/(-7) - -6 - ((-6016)\/168 - (-12)\/126)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -86, -50, 20, 136, 310, 554, 880?\n\"Answer: 2*c**3 + 5*c**2 + 7*c - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -505 - -510. Let x be (-5 + 4)*(-5 + 4). Sort 4, s, x.\nAnswer: x, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -4, 0, 3, -232 in increasing order.\nAnswer: -232, -4, 0, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1442)\/91 - 120\/780?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1954097?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15246169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - b = -a + 3, -3*a + 3*b = 9. Solve u + 7 = -a*n, -2*u + 3 + 4 = -3*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -217.29 + -7.75. Let w = t - -225. What is w rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -80.5 (b) -0.2 (c) 5\/6 (d) 0.4 (e) 2\/9 (f) -2 (g) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 0.8, 8, 3?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -5*v - 55, 3*u + v - 60 + 11 = 0. Suppose 3*x = 3*f + u + 24, -2*x - 5*f = -47. What is the remainder when x is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-2) - (4 - 11). Let q(n) = 13*n - 3. Let j be q(h). Suppose 3*v = -4*m + 2*v + j, 5*v = 4*m - 81. Does 19 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2633929 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: Find the third derivative of -12 - 6*z**2 - 6*z**3 + 28 - 18 wrt z.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 422745 by -28183.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -246555 (base 8) to base 5\nAnswer: -10212412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 308?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + -1 + -3 + -2. Let q be 2*1\/(-2) - m. Suppose 5*p - 12 = p, 0 = q*z + 2*p - 4. Put -2, 2, z in descending order.\nAnswer: 2, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/392 and 107\/1568.\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 0*y + 7 = -2*c, -628*c + 2*y + 6 = -625*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 3:26 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, -0.3, 0.3, 5\/14 in increasing order.\nAnswer: -0.3, 1\/6, 0.3, 5\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 7 + 5. Suppose -c*f + 98 = -4*f. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - -2*1 - -1. Suppose -35 = -s - 6*s. Suppose -4*q + o - 6*o + 292 = 0, s*o + 219 = f*q. List the prime factors of q.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5688*k**3*l**2 + 7*k**3*l - 29*k**2 + 34*k*l**2 wrt k?\nAnswer: 34128*l**2 + 42*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**2 - 59 - 9*v**2 + 9*v**2.\nAnswer: -3*v**2 - 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 20764714 (base 8) to base 11\nAnswer: 256aa1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 947 divide 243541884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000102587 rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from bbbbbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-17 + 5 + 6) - (1 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 8\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 686.2885um?\nAnswer: 0.0006862885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 5*c**3 - 4*c**2 + c + 1. Let w(h) = h**3 + h - 1. Let q(k) = -t(k) + 4*w(k). Determine q(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 6*f**2 - 13*f + 7. Give b(8).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1511 - -1258?\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**3 - 384*w**2 - 2*w**3 + 432*w**2)*(181 + 90*w - 181).\nAnswer: 90*w**4 + 4320*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 114 + -108 + (-9 + 5 - -5 - 10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 divided by -29?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**5\/5 + 863*h**4\/5 - 6381*h**3 + 12657*h**2 + 221242*h\/5 - 79608\/5 = 0. What is h?\nAnswer: -321, -2, 1\/3, 4, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (40 - -48) + -5 + -1 + 7 + -5.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39590635 to the power of 1\/2, to the nearest integer?\nAnswer: 6292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 444695617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 3. Let r be (5 + 12)*s\/(-2). Let c = r + -26. Which is smaller: -1\/6 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4585 (base 14) to base 7.\nAnswer: 50125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(1\/13)\/o)\/o)\/(o*o**(4\/17))*(o*o*o\/o**(-2\/31))\/o**9 assuming o is positive.\nAnswer: o**(-55451\/6851)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2037718541\/414 - 4922023. Let m = o + -5\/69. Calculate the common denominator of 11\/20 and m.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(160)\/((sqrt(8) - sqrt(8)*-2)*-6 - sqrt(8)))\/((sqrt(90) - sqrt(90)*-2*5 - sqrt(90))\/sqrt(9)).\nAnswer: -3*sqrt(2)\/190","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**3 - 67*t**3 + t**2 - 65*t**3.\nAnswer: -129*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -569 and -183.5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21.23 + 22. Which is the second biggest value? (a) -5 (b) v (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = c + 16 - 421, -c - 801 = -4*k. Let d = 205 - k. Solve d*m - 9 = 5*j, -3*m + 5*j + 13 = -0*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.113269681 to 2 decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3 (b) 1\/13 (c) -5440\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2712 or 3645?\nAnswer: 2712","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*p - 104*p + 294 = 5*r, 4*r - 144 = -2*p. Calculate the lowest common multiple of p and 276.\nAnswer: 5244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (69784\/(-18788))\/((-2 - -5)\/(-21))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 0.57, 2, -2, 68, -4\/9, -4\/87?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1772.58 + -1734. What is f rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*d - 27. Which is smaller: d or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2457605 (base 9) to base 8\nAnswer: 5064205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10002 (base 3) in base 8?\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2242 - 1352*q**2 - 2242.\nAnswer: -1352*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 36?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a factor of 482333100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90782 divided by -38.\nAnswer: 2389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -8. Let c(b) be the third derivative of -5\/24*b**4 - 1\/2*b**3 + 0*b - b**2 + 0. Calculate c(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 * -77655\nAnswer: 85420.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1039 is divided by 66.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 130*x - 1 - 61*x - 66*x + (1 + 1 + 0)*(0*x + 0*x - 2*x) in the form p*x + g and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - d - 286 = u, 205 = 3*d + 4*u. Suppose 0 = -4*k + q + d - 27, -q = -k + 11. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/90*-3)\/(8\/24)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/1053166164 and -69\/20.\nAnswer: 5265830820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + 0)\/((-7)\/14). Solve 0 = -m - m - w for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/67 or 165143?\nAnswer: 165143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (984\/(-164))\/(16*1).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a - 9546. Let j(u) = -3456*u + 2. Give j(b(n)).\nAnswer: 6912*n + 32990978","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 20154 (base 11) to base 10\nAnswer: 29462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, v: 2}. What is prob of sequence vyyv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001111100111000 - -1100?\nAnswer: 1001111101000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pccubcb. Give prob of picking 1 u and 2 c.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 5*i + 16. Let t = -4 + 11. Let z be n(t). Suppose 4*p = -2*f + 70 + 68, -5*p = -z*f + 111. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*b = -4. Let y = b + 13. Solve 0*d = 3*x - d + 10, -x + y = 4*d for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1042 (b) 3 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 554, 1108, 1662, 2216, 2770, 3324?\n\"Answer: 554*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -275 - -563. What is the highest common divisor of 64 and s?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 402 divide 1131118254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.22769523 rounded to 2 dps?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 91 and 104?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 10*w - 2 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -91*o - 290 - 529 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**2 + b + 2. Let x(r) = -2*r**2 + 2. Let l(s) = -3*o(s) + 2*x(s). Factor l(z).\nAnswer: (z - 2)*(2*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 3.9\nAnswer: 1.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -232 by -58.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z - 30*z + z**3 - 57*z - 17*z + 3349.\nAnswer: z**3 - 100*z + 3349","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cggcgcg. What is prob of picking 3 g?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -921, -917, -901, -867, -809, -721, -597?\n\"Answer: w**3 - 3*w - 919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -27? (a) -0.5 (b) 0.022 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (3 + (sqrt(80) - (sqrt(80) + 0)) - (-5 + (3 + sqrt(80))**2 - sqrt(80)) - (1 + sqrt(80) + 4 + sqrt(80) + (-2 + sqrt(80)*-3)**2)).\nAnswer: -805 - 76*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 + 108 = 5*d. Let q be d\/(-21) - 322\/(-6). Let y = -37 + q. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m**2 + 11*m + 4. Let v be k(4). Let o = -3 + 3.1. Which is the closest to o? (a) -5 (b) v (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*m - 1797 = 1044 - 609 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 910628?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 24.6 (c) 1\/2 (d) -1895\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3*d - 48. Suppose 4*z + d = 4*h, -3*z - 6 = -3*h + h. Suppose h*t = 101 - 26. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1464586489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 k when four letters picked without replacement from {e: 2, k: 5, j: 5}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/((-4)\/(-4)*-1). Let t = h + 1. Let n = 25\/26 - 6\/13. Which is the third biggest value? (a) n (b) t (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0044 - 0.0444. Let l = -32 + 33. Which is the nearest to l? (a) 0.5 (b) p (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 12*g - 26. Let i be a(6). Suppose w = 5*f - i, 0 = -w - 2*w + 2*f + 9. Solve -r + 0*r + 4*h - 11 = 0, 2*r + 13 = w*h for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 23. Let v be (-46 - 1) + 0\/(-1). Let d = v - -77. What is the greatest common divisor of d and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010010 - 10010100100?\nAnswer: -10011110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*n - 207 + 228 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -715*p**2 - 325*p**2 + 7235*p - 948*p**2 - 1414*p**2 - 2043*p**2 wrt p?\nAnswer: -10890","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of 11*d**5\/30 + 4*d**4\/3 + 5*d**3\/3 + 2*d**2\/3 - 39*d. Factor k(j).\nAnswer: 2*(j + 1)**2*(11*j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 397 and 1507409?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, -2\/5, -1\/16?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0*(63\/182 - 2\/(-13)). Let i(j) = -j**2 - 2*j + 48. Let k be i(t). What is the greatest common divisor of k and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 5) + (4 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 8*z. Suppose z = 7*r + 52078508 + 24501492. Round r to the nearest 100000.\nAnswer: -10900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1062 and 25836513.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2032*g + 4 - 922*g - 943*g)*(-g**2 - 4*g**2 + 4*g**2).\nAnswer: -167*g**3 - 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 677 + 2*n + 341 + 456 - n + 0 + 0 + 2*n - 6*n + 3*n + (0 - 1 + 0)*(2*n - 2*n - 2*n) + 0*n - 2*n + 0*n - n + 1 - 1 to b*n + h and give h.\nAnswer: 1474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.8 - -7.8. Let x = -6 - -5.6. What is the second biggest value in 1, v, 4, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 - 1060\nAnswer: -1074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-504)\/(-98))\/(6\/56). Suppose -y + 16 = -8*x. Solve -9 = -3*b, 0 = 5*t - b - b - x for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**3 - 73*q - 66*q + 207*q - 5*q**2 + 5*q**2 - 56*q.\nAnswer: -2*q**3 + 12*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 3, -3*d + 2*d - 107 = -3*s. Suppose -31*j + f = -s*j + 357, 3*f = -3*j + 207. Calculate the lowest common multiple of j and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/91)\/(442\/(-338))?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 8*g**2 - 6*g + 9. Let h be k(-7). Suppose -h*v + 4*f = -210, 5*v - 3*v - 2*f = 220. Suppose 7 + v = 2*z. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -10*m + 58. Let b be w(6). Suppose 0 = 4*n - n. Put 3, b, n in decreasing order.\nAnswer: 3, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 17*a**3 - 12*a**2 + 8*a + 9. Let x(d) = -4*d**3 + 3*d**2 - 2*d - 2. Let s = 8915 - 8906. Give s*x(p) + 2*n(p).\nAnswer: -2*p**3 + 3*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -74 - -74.5. Let h = 11 - 10. What is the nearest to h in -0.5, 2\/3, v?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 142662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6, v: 4, m: 4}. Give prob of sequence mjjm.\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/2438670 and -7\/2886.\nAnswer: 2438670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 7788*s - 198. Give m(0).\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-6)\/((-84)\/(-16205))*(-256)\/20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2633208 is divided by 3735.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 41092033 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3184 + 3178. Put -1, v, 16, -0.5, 2\/11 in ascending order.\nAnswer: v, -1, -0.5, 2\/11, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96423709139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -24. Let g = y - -85. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217*n**3 + 46820893*n**2 - 46820893*n**2.\nAnswer: -217*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1 - 1 - 670\/280 and (1290\/(-72))\/(-5) - (4 + -3)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100014422 (base 5) in base 2?\nAnswer: -1011111101010110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22830 and 3032585.\nAnswer: 18195510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u - 5. Let z = -102 + 97. Let c be v(z). Suppose 2*m + d + 2*d - 287 = c, -448 = -3*m - d. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -988681, -1977365, -2966047, -3954727, -4943405?\nAnswer: -5932081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2361300 rounded to the nearest ten thousand?\nAnswer: -2360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 11*b + 339. Calculate the remainder when ((-39)\/9)\/((-1)\/9) is divided by j(-29).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3484\/85 not equal to 41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132747 is divided by 218.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 2 - 16 = 0. Suppose -2*a - 4*k = -3*k - 6, 10 = -2*a + i*k. What is the tens digit of (146\/4 - 0)\/(a\/2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 37\/121754 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**5\/2 + p**4\/2 - 3*p**3\/2 - 5*p**2\/2 - p.\nAnswer: p*(p - 2)*(p + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 31\/5 of a century?\nAnswer: 7440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 102*n**2 + n. What is the tens digit of u(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 4*u = -36, -6*i - 11 = 3*u - 74 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000111 - -11010?\nAnswer: -1101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55\/120 - ((-84)\/(-18))\/14?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/1304 in 1, 13, 20?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101160 (base 11) to base 14.\nAnswer: -43361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(378)*1)\/(sqrt(48)\/(sqrt(32)\/sqrt(4)) - -5*sqrt(12)\/sqrt(2)))**2.\nAnswer: 63\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 4*a**5 - 400*a**4 + 12176*a**3 - 89984*a**2 - 768768*a + 1806336 = 0.\nAnswer: -6, 2, 28, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) - (sqrt(152) + (sqrt(152) - sqrt(152)*2) + sqrt(152) + sqrt(152)))*2*2)\/(3*sqrt(1152)*-1).\nAnswer: sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1125\/18)\/(-5)*32\/(-40). Is z smaller than 235\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28842.\nAnswer: 2, 3, 11, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 10*u**2 - u. Let s(k) = k**3 - 3*k**2 + k + 1. Let j be s(2). What is the units digit of v(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**5*c)\/c**(-1\/8))**(-14\/5))**20 assuming c is positive.\nAnswer: c**(-343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -0.96. Let v = h - 0.03999947. What is v rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-31)\/868*14)\/((6\/(-27))\/(-2))\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fo when two letters picked without replacement from bfbfoyfffybbf.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3168 and 5841?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 409 = 5*x - 91, 0 = -5*u + 20. Suppose 2*g - x = -4*g. Calculate the remainder when 61 is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/126 and 35\/6.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.05 + 0.45. Let q = -10 - -7. Suppose 14 - 33 = -19*g. Which is the closest to g? (a) h (b) 0.1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u = 10*u - 36. Let n = 25 - 23. Calculate the remainder when u is divided by -4 - 6*(-3 + n).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - 22. Let f = -23 - q. Suppose f = -4*d - 16, -l + d - 44 = -132. What are the prime factors of l?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 301358?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*f + 1 - 69. Which is the nearest to 2? (a) -3\/7 (b) 3\/2 (c) -1\/4 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16278 + 16295. Solve l = 4*z + o + 37, 3*z - o + 15 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -443*j**3 - j**2 - 2*j - 1. What are the prime factors of b(-1)?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven quarters of a century?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/6)\/(140\/60).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -8*d + 4*d - 300, 3*d + 217 = 5*u. Let y = d - -63. Let w = y - -15. Solve 0 = -4*h - 2*r - 16, w*h - r + 10 = -0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3526 = 2*z, 4*q - 20*z + 17*z - 3501 = 0. Let n = q - 291. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 557 = 3*c, -c + 3*j - 11 = -194. Calculate the highest common divisor of 310 and c.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o**3 + o**2 - 2. Let b be k(2). Let r(y) = y**2 + 27*y + 54. Let d be r(-28). Suppose b + d = 6*x. Calculate the remainder when x is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/7, 21, 0.15?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 29 - 21057?\nAnswer: -21028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*c**3 + 54*c - 3*c**4 - 53*c + 3*c**3 to the form z*c**4 + b*c + t*c**3 + r + m*c**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5716 = -3*r - 23418, 2*u - 3*r - 8854 = 0. Does 14 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 minus 20.7935?\nAnswer: -99.7935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4844 - 76 = -24*f. Is 204 smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60 + -19 - -4) + (-4 + 0 - -3).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 944?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -10*b - 38. What is the least common multiple of b and 696?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/((-8)\/(-6))*1\/1. Let t = -8073\/4 + 2019. Which is the closest to -0.1? (a) t (b) 3 (c) 2\/17 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 5*m**2. Let w(x) be the second derivative of -2*x**3\/3 + 15*x. Calculate g(w(o)).\nAnswer: 80*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -95*l**3 - 7*l**2 - 98*l - 14. Let m(t) = -31*t**3 - 2*t**2 - 32*t - 4. What is 7*m(h) - 2*z(h)?\nAnswer: -27*h**3 - 28*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -573698.81673 + -0.14.\nAnswer: -573698.95673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of 0*l**3 + 0 + 0*l**4 + 1\/15*l**5 + 0*l + 6*l**2. Let q(m) = 3*m**2. Suppose c + 0 = 4. Calculate c*i(s) - 5*q(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1102110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5362387 and 320546.\nAnswer: 1931","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2193, -3900, -5609, -7320, -9033, -10748?\n\"Answer: -x**2 - 1704*x - 488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/11 - 138\/33. What is the units digit of (-2)\/((-7)\/((-14)\/n))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1312822 is divided by 425?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 174 + -62 + -13 + -2 + 18 + -4\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 2 - w - 4 + 8.\nAnswer: -w + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 1 = f. Suppose -15 = 5*m + 5*n, 3*m + 0*m - 19 = 4*n. Put m, f, -2 in ascending order.\nAnswer: -2, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -57 - d957?\nAnswer: -d9b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26123543.78999947 + -26123559.79. Let w = 16 + c. What is w rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18023.6498 + -18027. What is i rounded to zero dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**3\/3 + 346*r**2\/3 - 29929*r\/3 = 0.\nAnswer: 0, 173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 193*p**2 - 576*p. Let t be i(3). Sort -0.08, t, -1\/8 in decreasing order.\nAnswer: t, -0.08, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.14? (a) -1\/3 (b) 5\/2 (c) 2 (d) -0.05 (e) 34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/6 - 116\/(-24). Suppose -2*x + 27 = -y, -56 = -f*x - 2*y + 7. Calculate the remainder when 63 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 62 = -8*v + 177, 23*u + 5*u = 13*u + 5*v - 90 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y**3 + 0*y**3 - y**3)*(-2*y - y + 7*y) + 0*y**4 - 18*y**4 + 3*y**4 as j*y**4 + i*y**3 + p + q*y + c*y**2 and give j.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 12604*c**2. Let t(f) = 2*f. Determine k(t(o)).\nAnswer: 50416*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 11 + 224*u - 236*u + u**3 + 11*u**2 + 4. Give k(-12).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one sixths of a millennium in months?\nAnswer: 62000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 + 52?\nAnswer: 51.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j**2 + 2184*j - 2184*j.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((-19)\/15 - 8\/(-12)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -29\nAnswer: 5\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 232?\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z + 2 = 10*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3502 (base 7) to base 10\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 4*k**2. Let p(s) = -15*s**2. Let v(j) = 5*p(j) + 21*w(j). Let t = 1727 - 993. Let z(d) = d**2 + 734 - t. What is v(x) - 6*z(x)?\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of d**7\/80 + 5*d**6\/144 - 2*d**5\/15 + d**3\/2 - 36*d**2. Let y(j) be the third derivative of s(j). Differentiate y(w) wrt w.\nAnswer: 63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4 = -0*n. Let u(l) = -76*l - n*l**2 - 17 + 28*l + 36*l. Let m(j) = -j**2 - 3*j - 4. Let r(h) = 9*m(h) - 2*u(h). Solve r(v) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4*r - 25 + 3 = 0, x + 3*r - 12 = 0. Let q = x + -6. Suppose -2*w - z + 2*z = -24, q*w - 43 = -2*z. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 5*n - 11, 22*n - 24*n = 2*w + 26. Let p be -2 - (5 + 100\/(-15)). Which is the nearest to 0? (a) p (b) 3\/4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49822220 divided by -2491111\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 11 - 917*p**2 - 3094*p**2 + 235*p - 239*p. Let y be b(3). Round y to the nearest one thousand.\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 887aa + -15?\nAnswer: 88795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-7) + (-1230)\/(-7). Suppose -4*f = 3*k - 118, -3*f - 11 = -2*k + 45. Suppose 3*n - 14 = k. What is the greatest common factor of n and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 3*u + 13715 - 13619 = 0, 0 = 14*k + 3*u - 306 for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of x**6\/20 - 11*x**3\/6 - 18*x**2. What is the first derivative of b(h) wrt h?\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(((y*y**(-3)*y)\/y*y)\/y*y)*y*y)**(1\/14)\/(y**1)**49 assuming y is positive.\nAnswer: y**(-341\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1060\/439683 or 0?\nAnswer: 1060\/439683","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r - 9001 = -5*c - 9034, -73 = -2*r + 5*c for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 2:14 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1709029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 609 divide 564772175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 720*r - 708*r + 48 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5472451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (32\/40)\/(4\/60). Solve 4*s + 4*y = -44, 7*y + 15 = -5*s + m*y for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-11 - -2)*-1*6\/9. Solve -y*j + 5 + 1 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 398.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/679 and -47\/291.\nAnswer: 2037","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**4 + 13*f - 13*f + f**3 - f**3 - f**4 + (-5*f**3 + 6*f - 6*f)*(2*f - 2*f + 2*f) + 2*f + f**4 - 2*f.\nAnswer: -9*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -1132*p - 45290. Determine h(-40).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = 4*u - 8*u - 5*j, -38 = -3*u + 5*j. Solve 0 = 4*f - z - 16, -18*z + u*z = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 2*q + 2. Let a = 10 - 8. Let c be w(a). List the prime factors of (-38)\/(-5) + c\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 3 = 2*c. Let k be c\/(-6) - 60\/(-18). Suppose 2*f - 138 = -k*d, d + 3*f = 33 + 4. Round d to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 20 + (-1)\/(3\/(-6))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by 43.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 22*k**2 + 2*k - 45. Give u(22).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52299829?\nAnswer: 2213, 23633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7756 divided by -2?\nAnswer: -3878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(2\/7)*y)**(-2\/15) assuming y is positive.\nAnswer: y**(-32\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 + 14*t**5 - 7*t**5)*(-3 - 18 + 6 + 2 + 4 - 5 + (-3 + 0 + 1)*(0 + 3 - 1) + 3 - 3 - 1).\nAnswer: -133*t**5 - 38","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/4 and -75\/52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 0, -147, 1, 45 in decreasing order.\nAnswer: 45, 1, 0, -4, -5, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/2*(-10 - -6). What is the tens digit of ((-1)\/i)\/((-5)\/(-120))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 11, u: 1}?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -11*a - 15*a + 324*a**2 + 26*a + 358*a**2. Let z(o) = 3*o. Calculate z(i(p)).\nAnswer: 2046*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - h - 48 = 0. Let m = -12 + h. Solve 3 = b - m for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -80\/351 and 77\/78?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1478152.\nAnswer: 2, 13, 61, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 244, 223, 202?\nAnswer: 181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 315102512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 5. Suppose -2*d - 50 = b*d. Which is smaller: -9 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -420 + 729. List the prime factors of d.\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140) - sqrt(35))\/sqrt(7) - (sqrt(5) - -3*sqrt(80)).\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 3241.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14\/6*210\/10. Calculate the highest common divisor of 7 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 628\/1275 + 74\/425. Let c(j) be the first derivative of 2\/5*j**5 + 0*j**4 - w*j**3 + 0*j + 1\/2*j**2 - 8. Find the third derivative of c(p) wrt p.\nAnswer: 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -1 (b) 3\/5 (c) 195 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 200 or 198?\nAnswer: 200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.181 + 1.181. Let g = 58.63 - 59. Let j = g + 10.37. Which is the nearest to -2\/5? (a) j (b) w (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 536171 to the nearest integer?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 231325*l**3 + 25*l**2 - 72*l**4 - 231314*l**3 + 75*l**4 as w*l**3 + a*l**2 + r*l + s*l**4 + k and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3486 is divided by 204.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + -5 + -5 + -2 + (-1 + sqrt(45))**2 + 5).\nAnswer: -36*sqrt(5) + 240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -110101110 (base 2) in base 7?\nAnswer: -1153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 greater than -406\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -15*i - 4. Let h(l) = -22*l - 6. Let r(p) = -5*h(p) + 7*z(p). Does 27 divide r(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -29*h**2 + 2. Let j(o) = -50*o. Determine j(q(s)).\nAnswer: 1450*s**2 - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*j = -4*n + 2, 0 = -5*n - 5*j + 40. List the prime factors of 47\/3 - n\/9.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 1:23 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.8, -3\/13, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -v**4\/48 - v**3\/12 + 3*v**2\/8 - 20*v. Factor a(h).\nAnswer: -(h - 1)*(h + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*((-275)\/33 - -7) + 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(406\/(-1078) + (-2)\/(-7)). Let z be ((-132)\/i)\/(6\/20). Put 5, -5, z in increasing order.\nAnswer: z, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + v = -4772 + 52701, -5 = -v. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 33 = 2036*i - 2031*i, -5*m - 13 = 3*i for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of p**3\/3 - 2*p**2 - 2*p + 1. Let l be j(5). Solve -5*u - 3 = -l*i - 0*u, 4*u - 1 = -i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q - 5. Let h be s(10). Suppose h*m - 3 - 7 = 0. Suppose m*o - 87 = 71. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -651 = 6*r - 1356 + 645 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3332963247 to the nearest integer?\nAnswer: 1494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*s - 0*s. Suppose 2*b + s*b = -4. Let l be 4 + (-1 - 2) - 3. Which is greater: b or l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258*f + 1344 = 3281 + 8125 for f.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*s = 590 - 1710. What is the remainder when s is divided by 37?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13351605?\nAnswer: 3, 5, 890107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 99 - 15. Let b = 84.000139 - n. What is b rounded to five decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/((-273)\/(-68))*-3 - 4\/14?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12654 and 107103.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 7)\/(134\/603). Suppose x - 111 = -2*x. Let t = u + x. Solve 0*j = 2*j + t for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2099*y. Let j(h) = -41*h + h**2 - 54*h + 95*h. Give j(k(o)).\nAnswer: 4405801*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 5:02 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2\/4 + 1713*q\/4 + 855\/2.\nAnswer: 3*(q + 1)*(q + 570)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -2*d + 4*w + 336, w - 408 = 5*d. Let j = -73 - d. Solve 5*l - 8*l = -j for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l**2 + 38*l - 54. Let h be c(-14). Let y be -6 - -1 - (1 - 2). Put 1, y, h, -5 in increasing order.\nAnswer: -5, y, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -807, -1604, -2389, -3162, -3923?\n\"Answer: 6*n**2 - 815*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20001102 + -1?\nAnswer: 20001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35370 is divided by 402.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 12) to base 10\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80244 is divided by 535.\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/x**3*x**(-4))\/((((x*x**5*x)\/x)\/x*x)\/x*x*x**(-6)))\/((x*x*x\/(x**(2\/3)*x))**(1\/89))**31 assuming x is positive.\nAnswer: x**(-1459\/267)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96214, -96209, -96194, -96163, -96110?\nAnswer: -96029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 16) to base 4.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9589551737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1450 and 100?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/65 + 100\/(-26). Let g be -4*((-35)\/u)\/(-5). Solve 2*s - g*s = -5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of 5*j**4\/12 + 2*j. Let g(x) = x - 3. Let m(y) = y - 4. Let f(c) = 4*g(c) - 3*m(c). Give w(f(q)).\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**3 - 299*b**2 + 888*b. Let f(d) = d**3 - 150*d**2 + 443*d. Let a(r) = -9*f(r) + 4*k(r). Find the second derivative of a(z) wrt z.\nAnswer: -6*z + 308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 182 - 115. Let t = -14228714979.00000041 - -14228715046. Let c = t - r. What is c rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -3\/10 (c) 1\/2 (d) -0.1 (e) 96\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1530 divided by -178817.\nAnswer: -1530\/178817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -5. Let w be 8\/a*(-9)\/(-6). Suppose w*g + 0*g = 40. Is g a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(150)\/sqrt(3)).\nAnswer: sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 97 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09308*15251.\nAnswer: 1419.56308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 7:59 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -136\/5, 15, 1 in decreasing order.\nAnswer: 15, 1, 0.2, -136\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16828 + 29675. Let s be 6252\/2*-2*1. Let p = f + s. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10 + (-132)\/(-42))*(-7)\/2. Calculate the common denominator of 21\/(-630)*-2*927\/o and 26\/25.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 724 = 2*t - 4*t, 4*c - 568 = 4*t. Let q = c + -356. Let z = -113 - q. What is the highest common factor of 11 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/5 - 51*k\/5 + 144\/5.\nAnswer: (k - 48)*(k - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 6. Let n be 72\/32 - 0 - 1\/i. Solve -5*z + c = -2*c + 31, 0 = -c + n for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 505 + -236170?\nAnswer: -235564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 220 and 81796.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**3 - 2*r**3 + 0*r**3)*(1527 - 4352 - 1413).\nAnswer: 8476*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.28 + -0.02. Which is the nearest to -2? (a) n (b) 0 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -98.3 + -18.7. Let c = j + 183. Let h = 65.67 - c. Round h to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -1. Let q = 0.5 + 3.5. Let p = 3.5 - 4. Which is the nearest to y? (a) p (b) -2\/5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 2*l - 12 = -5*c, -c = 2*l - 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(12\/(-10)))\/(8\/12)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 * -396.\nAnswer: 277.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15011 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 369675 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(1 + (-2)\/4). Let j = n - -8. Suppose q = 5*z - 6, -z + 4*q + 214 = 266. Solve -j*a + 6 = -z*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 276 divide 10316328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + (0 + 3)\/(-3). Suppose -6 = -2*d - f, r = 2*d - 1. Let j = 34 - 32. What is the remainder when r is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -36*a**2*k + 377*a**2 - 4*a*k wrt k.\nAnswer: -36*a**2 - 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of n**3*u + 47*n**2*u - n**2 + 36*n*u + n wrt n?\nAnswer: 6*n*u + 94*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120 and 15146.\nAnswer: 908760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 598.028 - 2.028. Are b and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1\/2, 0.03, 3\/2 in decreasing order.\nAnswer: 3, 3\/2, 0.03, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/(-96)*6)\/(2\/4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 322121935?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 a factor of 77035728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2109 and 333.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -684*((-15)\/(-3) + -6) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of 16*j**7\/189 - 536*j**6\/45 + 37489*j**5\/90 + 24388*j**4\/9 + 132496*j**3\/27 + 2*j + 6. Find h, given that w(h) = 0.\nAnswer: -7\/4, 0, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1155.16 and -7.743839.\nAnswer: -1162.903839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 95 = f - 117, -3*f + 7*f = y + 53 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 22*n + 25. What is b(-3)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68071, 68062, 68041, 68002, 67939?\nAnswer: 67846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*g - 77*g + 2444 = -215*g for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-30))\/(2*3\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131100 is divided by 814?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -76*o + 73*o + 5*k - 3, -2*k = 0. Let z be (o\/3)\/(38\/1064). Which is bigger: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-84)\/18)\/(-7)*6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**1)**(-4)\/(q**(-2\/3)\/q)**(-11))**(-38) assuming q is positive.\nAnswer: q**(2546\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 h when two letters picked without replacement from huuhypyphuhhphp.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -2*b + 50. Solve -10 - 4*t + 0*t + 8*t**3 - 14*t**2 + b = 0 for t.\nAnswer: -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*z + 3*z + 61 - 26 - 30.\nAnswer: 13*z + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 4:31 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-35)\/7*32\/10. Find the common denominator of 77\/10 and (-6)\/y*(-124)\/9.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 63*j**2. Let g(l) be the second derivative of -l**4\/4 + l - 48. Calculate g(r(o)).\nAnswer: -11907*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 2443 divide 52216180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 1052685120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**2 - t. Let n be i(-2). Suppose 0 = 5*q - 4*z - 1630 - 1546, 0 = -q - 5*z + 641. Suppose 4*o = n*o - q. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -68*m**2 - 55*m + 112. Determine x(2).\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -212 - -212. Solve 5*l - 34 + 9 = y for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38.49 + 0.49. Let h = p + 32. Which is greater: h or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*g + 45*g - 5*g**2 + 2*g**3 - 5*g**3 + 6*g**2 - 2 + 2*g**3 as q*g + v*g**3 + l*g**2 + c and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-14))\/(12\/16).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 27*i**3 - 35*i**2 + 3. Let q(u) = -28*u**3 + 35*u**2 - 4. Let s(v) = -3*q(v) - 4*w(v). Find the third derivative of s(p) wrt p.\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -399.78454 - -9.03427?\nAnswer: -390.75027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2580 and 45.\nAnswer: 7740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*w + 24*w = -10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45.16111us to milliseconds.\nAnswer: 0.04516111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -1. Let j be (5\/2 - -2)\/(15 + 108\/(-8)). Solve -j*m + 2 = -t for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/2 - 36*r - 448.\nAnswer: -(r + 16)*(r + 56)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) - (-2 + sqrt(300))**2)*4*3.\nAnswer: -3648 + 600*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.03, 7288, -3\/8, 5, -1\/2, -0.2, -4\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1171019*s + 22*s**4 - 1 + 2*s**3 - s**2 - 1171019*s + 7*s**4 to m*s**2 + o*s**3 + n*s**4 + i + c*s and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(-1*sqrt(128)) + (sqrt(3) + 0 + sqrt(3) + -3 + 5)**2.\nAnswer: 63*sqrt(3)\/8 + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3.9, 0.6 in descending order.\nAnswer: 0.6, -1, -3.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/2*6\/12?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 175 times -1\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*m**3 + 129*m**3 - 52*m**3 - 39*m**3 - 3 - 6331*m**2 + 6331*m**2.\nAnswer: -8*m**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2724746.227 rounded to the nearest ten thousand?\nAnswer: 2720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 123 or 119?\nAnswer: 123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 588\/10878 + 76\/(-37)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -6339 - 2496. Suppose 2675 - o = -4*p. Let c be (-8100)\/(-63)*p\/6. Round c to the nearest 1000.\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-14)\/(-10) - 1)\/((-5)\/(-450)). Suppose v = 6*d - 3*d. Suppose n = 146 + d. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.02 + 26.98. Let i = x + -27.6. What is the second biggest value in 4, -1\/5, i?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59751 - 2089*f**3 + 59751 - 531*f**3.\nAnswer: -2620*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 0 = 6. What are the prime factors of q - (3 - 3) - -17?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -12.1. Sort -2, x, -96 in increasing order.\nAnswer: -96, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -130 + 75. Let l = w - -72. What is the second smallest value in 3, l, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iivivivi. What is prob of picking 3 i?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0604 + -0.084. Let c = -0.2764 + d. What is the smallest value in 5.1, 0, c, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*g - 15 = 0, g = 3*m + m. Let a = 4 + m. Let v(k) = 5 - 2 - 1 + a*k + 2. Let d(s) = 11*s + 9. Give 4*d(u) - 9*v(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4 = 4*n - 3, -o = 3*n - 9. Suppose 1390 = 5*t - o*s, -5*s = -5*t + 1860 - 480. List the prime factors of t.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3352253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -20448177658 and -0.53.\nAnswer: -20448177658.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 390 and 234339.\nAnswer: 30464070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of -2 - 2\/3*y**3 + y**2 - 13\/70*y**7 + 0*y**4 + 0*y**5 + 0*y**6 + 0*y. What is the derivative of d(u) wrt u?\nAnswer: -156*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2465724617?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -11 + (-5 + 11 - -122 - (1 + -4))\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 29*n - 49. Let q(y) = -21*y + 33. Let w(k) = 5*g(k) + 7*q(k). Suppose 0 = -v - 6 - 4. Calculate w(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 11) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 10*c**2 + 9. Suppose -3*w = -4*x - 48 + 152, -4*x + 104 = 6*w. What is the remainder when x is divided by n(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 4*g = 3*y - 16, -17 = -3*y + 5*g. Suppose 3*c - b - 64 = -0, -y*c - 3*b + 81 = 0. List the prime factors of c.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 20*l + 14. Let f(w) = -7*w - 5. Suppose -p + 3 = 2*a + 15, 4*p + 5*a = -39. Calculate p*b(u) - 17*f(u).\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20090 divided by 7402.\nAnswer: -10045\/3701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28799 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120297426 is divided by 1403?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 57417\/53 and -0.13 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2502, -13\/5, -5\/3 in increasing order.\nAnswer: -13\/5, -5\/3, -1\/2502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 + 52\/14 + 20\/70 is divided by 4\/((-4)\/(-9))*3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (21 - -39)*(-24)\/9. Let p = v - -177. Solve -7*f = -4 - p for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u - 3*u + 2756*u**2 - 2751*u**2.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8668440 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -1. Find the second derivative of -3*s**3 + 2*s + 2*s - b*s wrt s.\nAnswer: -18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23? (a) 0.4 (b) -0.2 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 854930 is divided by 170983?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*((y**1*y)\/y)\/y*y)**(1\/5)\/((y**(-2\/9)\/y)\/y)**28 assuming y is positive.\nAnswer: y**(2818\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of 11*t**5\/20 - t**4\/3 + 2*t**2 - 5*t. Let p(i) = -133*i**3 + 49*i**2 - 49. Calculate -49*k(r) - 4*p(r).\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/(-100))\/((-1)\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24835\/5874 - -2\/2937. What is the common denominator of d and 19\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*u - 176*u - 312*u - 212*u + 74*u.\nAnswer: -612*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l**4 + 118764*l**3 - 5556786*l**2 - 7964756*l - 2289216 = 0. What is l?\nAnswer: -11923, -1, -2\/5, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (4 - -1) - -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*p = -184*p + 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 64, 135, 208, 283, 360, 439?\n\"Answer: b**2 + 68*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -9*a + 31. Let s(f) = 10*f - 33. Let z(c) = -5*s(c) - 6*u(c). Let b be z(9). Calculate the highest common factor of 450 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14 + 0)*7*(-3)\/42. Let k(g) = -3*g**2 + 14*g + 16. Give k(m).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of l**4\/3 - 6*l**3 + 34*l**2 + 6*l. Let w = -3 + 0. Let x(j) = -4*j**2 + 35*j - 67. Let f(m) = w*t(m) - 4*x(m). Factor f(b).\nAnswer: 4*(b - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, o: 1, f: 1}. What is prob of picking 2 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 15618340\nAnswer: 3123668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -939, -1855, -2791, -3759, -4771, -5839, -6975, -8191?\nAnswer: -9499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14\/9 in -1\/2, 6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p**2 + 2*p**2 - 5 - 7*p + 2*p**2. Suppose -14 = -6*h + 34. Calculate t(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4*h + 2 = 12, -4*h + 5 = t. Let a = 34 - 29. Solve -t*v + 6 = -3*o + 16, a*v = 2*o - 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27344244 and 675084.\nAnswer: 6684","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -642065.1 + 641628.2921. Let q = 185.7962 + c. Let o = q + 251. Round o to 3 dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 to the power of 1\/2, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1551041877 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -872 = -17*n + 845. Which is smaller: n or 107?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 5*z**4 - 1635*z**3 + 39125*z**2 + 820635*z - 858130 = 0.\nAnswer: -14, 1, 41, 299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**5\/5 - 68*f**4\/5 - 336*f**3\/5 - 592*f**2\/5 - 64*f = 0.\nAnswer: -10, -4, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169118 - 4033*m + 4050*m - 169118.\nAnswer: 17*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*f = 195. Is 24 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246392109.\nAnswer: 3, 2803, 9767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a**2 - 12*a + 9. Let o(f) = f**2 - 14*f + 12. Let l be o(13). Let y(i) = i**2 + i - 1. Let s(r) = l*n(r) - 4*y(r). Determine s(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 59? (a) 2\/5 (b) -3 (c) -35\/8 (d) 4\/5 (e) -0.049\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4*f - 3. Let r be s(-2). Suppose 0*u - 14 = -u - 2*b, 2*b = u + 6. Suppose -u*l = l + 25. Sort r, 1, l in decreasing order.\nAnswer: r, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2418161 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -115 - -82. Let a be b\/7 - (-22)\/(-77). Are a and -5 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1060 and 14.\nAnswer: 7420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 8*i**2 + 6*i + 2. Let v(z) = -5*z + 2. Let g be v(-7). Suppose 3*h + 8 = -4*q, -3*q + 14 = -2*h + g. Is o(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -255*t + 2443. Determine j(20).\nAnswer: -2657","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1*6)\/(-3 - -4). Let p be (-8)\/10*15\/(-6). Find the third derivative of -x**5 - 2*x**r + x**5 + x**p wrt x.\nAnswer: -240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 + 136. List the prime factors of l.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -4*n + 52, -4*a - 14 = 4*n - 6*n. Solve -21 = c - v + 5*v, -2*v = c + n for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/9, -5, -3, -1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1789 and 45952.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 441529512?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.124 - 10.724. Round f to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 23154314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 27 + 2*(-2)\/4. Suppose -2*j + o = -0*m - 4*m, 2*j - 18 = -4*m. Calculate the remainder when j is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 4*w + 4 = b, -4*w = -4*b - 8 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1959)\/(-6) + 5\/10*3. Let b = -333 + k. Put -9, b, -3\/5 in decreasing order.\nAnswer: -3\/5, b, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**5 - q**3 - q**2 - q. Let u(z) = 48*z**5 + 8*z**3 + 88*z**2 + 8*z. Let j(i) = 8*l(i) + u(i). What is the third derivative of j(f) wrt f?\nAnswer: 3360*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9508?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 - 23 = -27*t. Let i(l) = -46 + 22 + l + t + 22. Let m(c) = 63*c. Determine i(m(k)).\nAnswer: 63*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*2 - ((-11 - -15) + -1). Let q = 1 + 0. Put q, c, 2\/19 in ascending order.\nAnswer: c, 2\/19, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 870.\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-3\/2)\/j**5*j**(-1)\/j*j*j*j**1 assuming j is positive.\nAnswer: j**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*m, -255*u + m + 42 = -260*u for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/69840 and -107\/345320.\nAnswer: 6215760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -6*z**4\/7 + 133878*z**3 - 31856028*z**2\/7 = 0.\nAnswer: 0, 34, 156157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a millennium in years?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + -11 + -8 + -2 + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3205830792?\nAnswer: 2, 3, 113, 283, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 6*z - 4. Let m(w) be the third derivative of -7*w**5\/30 - 3474*w**2. Give o(m(r)).\nAnswer: -84*r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -305*n - 179*n + 81*n + 66*n.\nAnswer: -337*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2789522*k**2 + 138743880*k - 1725193800.\nAnswer: -2*(1181*k - 29370)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6.8309696372 and -4.\nAnswer: 2.8309696372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 841 - 815. Solve -9*w = -i + 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -3. Let y be ((-63)\/14)\/(w\/8). Solve d - 5*r - 15 = 5, -3*r = -2*d + y for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9549)\/7427*(-7)\/(-33)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(2500))\/(sqrt(60)\/(sqrt(24)\/sqrt(2))) + 3 - ((sqrt(200)*-2)\/sqrt(8))\/(sqrt(5) - (sqrt(5) + -4*sqrt(405))))**2.\nAnswer: 361*sqrt(5)\/3 + 654521\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 >= 0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 948.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 8)*(-5)\/(-10). Let q = 1.0569 + -0.0569. Put s, q, -1\/7 in decreasing order.\nAnswer: s, q, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5 - 1)*106300\/288. Let f = -1476 + g. Let a = 71\/2 + -23. What is the common denominator of f and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154543934?\nAnswer: 2, 77271967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -599*f - 120*f - 16600 = -55*f for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 17ab40?\nAnswer: -17ab3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 1 - ((1 - 10) + 9) - 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 84749 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 404 = -198*r + 217*r - 71. Solve -115 + r = -18*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18 or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5410441 is divided by 6284?\nAnswer: 6201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2158, 2155, 2152, 2149, 2146, 2143?\nAnswer: 2140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 611 - 650 = -6*c, 4*c - 2*d = -2 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*a**4 - 401119*a**3 + 17*a**2 - 1422*a + 21?\nAnswer: 72*a - 2406714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*x - v, -2*x + 4*v - 3 + 15 = 0. Solve -w + 1 = -0*w - i, x = -2*i for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235 = 4*r + 5*s, 3*s + 323 + 17 = 5*r. Suppose -7*m - r = -2*m. Let o = -1 - m. Is o a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 380934 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 219116 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*v + 26*v - 95*v - 13*v + 57*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 7. Let k(p) = -p**2 + 5*p - 6. Let s be k(4). Let c be 1\/4 - (-2)\/(-72). Sort c, s, m.\nAnswer: m, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 0 - 4)*(3 + 5 + 1) + (6 - 3 - 2)*(-3 + 2 - 2))*(2 - 2 - z).\nAnswer: 12*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -28 + -26 + 25 + 8 + -56\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a\/a**3*a)\/a))**(-47))**(-4\/5) assuming a is positive.\nAnswer: a**(564\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hu when two letters picked without replacement from hhhhnuhhnthhh?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttf when three letters picked without replacement from {t: 4, f: 6}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -977.064 to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 173934 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 55\/44 - 1\/4. Let c(k) = 3*k + 1. Let n(g) = -g. What is s*c(q) + 2*n(q)?\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/38, 5, -1\/8, -4.\nAnswer: -5, -4, -1\/8, -1\/38, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 291\/2223 - 1015\/39585.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1127 - -3313. List the prime factors of v.\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5412, 22389, 50656, 90213?\n\"Answer: 5645*w**2 + 42*w - 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5015 or -4888?\nAnswer: -4888","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r + 71 = 149. Let h(g) = 14*g + 30. Let n(w) = 5*w + 10. What is r*h(f) + 17*n(f)?\nAnswer: f - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2110102 + 11?\nAnswer: 2110120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 14*p - 17. Let s(k) = 5*k - 6. Suppose -3*z - 23 = 2*j, 4*z + 6*j - j + 19 = 0. Calculate z*s(b) + 4*v(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c**2 - 95*c + 204. Is m(32) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 640093 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8\/18 + (-127248)\/(-432)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 356241?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 757156?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13233 by -12349.\nAnswer: -13233\/12349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1684*l**5 - 86*l + 6 wrt l?\nAnswer: -33680*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3*z - 15 = h, 0 = z + 2*h. Does 2 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-2) - (-7 - -4). Differentiate -4 - v*u**2 - 9*u**2 - 3*u**2 - 6 with respect to u.\nAnswer: -28*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-2\/15))\/(n*n\/(n\/(n*n\/n**(2\/21)))))\/(n**(1\/2)*n**(-2\/7)) assuming n is positive.\nAnswer: n**(-473\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -3*t**2 - 5877*t = 0.\nAnswer: -1959, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 520466755525.1 - 128\nAnswer: 520466755397.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 63\/239 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r - 5. Let z be l(-8). Suppose 0*g - 387 = -z*t - g, 3*t = 4*g + 402. Let d(q) = 30*q - t + 130. Let j(h) = -h**2. Give j(d(w)).\nAnswer: -900*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + -204262.16\nAnswer: -204261.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156236625.\nAnswer: 3, 5, 113, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - g = -73, 3*t + 30*g - 28*g + 52 = 0. Let n = t + 32. What is the remainder when 34 is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of g**2 + 2*g - 1\/96*g**4 + 1\/240*g**5 + 0*g**3 + 0. Let p(w) be the first derivative of t(w). Find k, given that p(k) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 7 (b) -12\/7 (c) -2\/5 (d) 3 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 3*t - 5*t + 2, -3*t - 4*m - 20 = 0. Let c be 2 - -2*(-6)\/t. Suppose -c*o + 6 = o. Which is smaller: o or -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68122, -272511, -613164, -1090081, -1703262?\nAnswer: -2452707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1265, -1239, -1213?\nAnswer: -1187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 3*d + d**4)*(3*d - 5*d + d) + 2*d**3 - d**5 - 2*d**3 - 214*d**5 - 163*d**5 + 437*d**5 + (-48 + 15*d**4 + 48)*(-d - d + 0*d).\nAnswer: 28*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/14058 and 47\/288.\nAnswer: 224928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20.6 - 1.6. Let s = v + -40. Let m = s + 20.99999989. What is m rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 11, g: 2}. Give prob of picking 1 g and 3 r.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -231 - -232. Solve t + 3 = -b, 2*b = -4*l - 8 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 821.0477 centuries in millennia?\nAnswer: 82.10477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -106*v + 2770. Calculate c(26).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -7\/21321647?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 10:31 AM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vtxtxddxxvvhdhshsd. Give prob of picking 1 t, 1 x, and 1 s.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -r**6\/120 - r**5\/20 - 7*r**3\/3 - r**2 + 65*r. Let o be i(-4). Solve -5*d + 25 = -o*v - 3*v, -v - 1 = 3*d for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -320*s - 6. Let w(f) = 90*f - 1. Determine w(t(c)).\nAnswer: -28800*c - 541","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 240361 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 143276 and 61219788?\nAnswer: 428538516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1646, 5, 13, -1, -77 in descending order.\nAnswer: 13, 5, -1, -3, -77, -1646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -4, 12, 0.4, 1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 divided by -13521.\nAnswer: -34\/13521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaasaaaaaasssaaaaa. Give prob of picking 2 a and 2 s.\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 2*y**2 - 18*y - 5. What is d(-7)?\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**3 - 12*d**2 + 18*d + 23. What is the units digit of o(18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1142785033 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2119597 smaller than 2119588?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 126\/(-105)*750\/(-60)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7783585 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.45 - -0.05. What is the third smallest value in a, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 30 = -4*z. Let o be 4\/6 + 2\/z. Let f = -1921 - -1921.3. What is the nearest to f in -3, o, 0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + -2)\/((-12)\/104). Suppose -2*x + y = -8. Calculate the remainder when 49 is divided by x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 11:00 PM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -163 (b) 5 (c) -20 (d) 3 (e) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-140 + 155)*(-416)\/240?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/192 and (-8)\/(-700)*5*290\/(-16).\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 13*r + 11. Let h be o(-14). Let s(a) = a**3 + 5*a**2 + 3*a. What is the least common multiple of 11 and s(h)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1689643 and 3104.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 6, b: 4}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -g**5\/4 - 4*g**4 + 5*g**3\/4 + 20*g**2 - g - 16 = 0.\nAnswer: -16, -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.01 + 3.53. Let z = -2.52 + r. Which is smaller: 43 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -101000010100011011100?\nAnswer: -101000010100011011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*i**2*j**2 + i**2 - 1713*i*j + 13*j**2 wrt j.\nAnswer: -50*i**2 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/2904 and 31\/156000?\nAnswer: 18876000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -68 and 17?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/(-204)*(-10)\/35.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 2*h + 12. What is the second derivative of 150*v**5 - 370*v**5 - 3*v + 160*v**5 - 4*v**4 + 29 + h*v**4 wrt v?\nAnswer: -1200*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 404423326 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.108, 115780, 4 in descending order.\nAnswer: 115780, 4, 0.108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6 - -6 - (-3)\/(-12)*8. Let n be (-3)\/2*(1 + 1). Which is bigger: w or n?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vdv when three letters picked without replacement from vvvvvvvvdvvvvvvvvv.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 24426 (c) -226.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 230 and 65.\nAnswer: 2990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/25, -2, -5, -4, 0.4, 0.57 in ascending order.\nAnswer: -5, -4, -2, 4\/25, 0.4, 0.57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -4 + 0 + 1 - (-568 - -573).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 4*w - 32, -102*w = -2*d - 101*w - 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1bc (base 13) in base 9?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7308)\/(-98) - 38 - 36.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 101\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 551, 1136, 1725, 2318, 2915?\n\"Answer: 2*v**2 + 579*v - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 23775.7 + 4.8\nAnswer: 23780.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -136518 or -135504?\nAnswer: -135504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/8)\/(9\/4). Let z = 350 - 2093\/6. Let y = z - 5\/3. Sort m, y, 0.5.\nAnswer: y, m, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -7 + 10 + -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.18 - -5.18. Let n = -0.5 + 0.4. What is the second biggest value in h, n, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -145843 or -145845?\nAnswer: -145845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ti when two letters picked without replacement from tnttiinitntiiiii?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**2. Let q(i) = 974630*i**2. Determine q(z(s)).\nAnswer: 3898520*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 888173 is divided by 40371.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5\/6)\/y*y*y**(1\/4)*((y*y**5)\/y)\/(y**4*y*y))\/((y\/(y\/y**(-3)*y))\/((y*y**5)\/y))**(2\/139) assuming y is positive.\nAnswer: y**(-2425\/1668)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33097961 - 64097961. Round o to the nearest one million.\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 + 7 = -2*c - 4*q, -c - 1147*q - 19 = -1142*q for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/5 - 64*s**2\/5 + 66*s\/5.\nAnswer: -2*s*(s - 1)*(s + 33)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 6. Let i = v - -14. Let t be 23\/(-20) + (-2)\/i. Which is smaller: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of 24*q + 75\/4*q**4 + 24\/5*q**5 + 38*q**3 + 1\/2*q**6 + 42*q**2 - 92. Factor u(r).\nAnswer: 3*(r + 1)**2*(r + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 p when three letters picked without replacement from pmpyspmmhhbbym.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 3*u - n - 39, -3*u + 65 = 5*n. Calculate the lowest common multiple of u and 65.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 6:27 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) -3 (c) 0.2 (d) -79079.6 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21222122 (base 3) to base 2.\nAnswer: -1011010111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from qtznqtzztqtttzntztt?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10422 plus -33283906?\nAnswer: -33273484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202112001202 (base 3) to base 9.\nAnswer: 675052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 4*u + 2*u)*(-3*u**2 + 0*u**2 + u**2) - 12*u**3 + 328*u**2 - 328*u**2.\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24*k**5 - 81*k**4 - 670*k**2.\nAnswer: -1440*k**2 - 1944*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2203 is divided by 89?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2235 and 1619481?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*f + 1 + 19*f + 23*f - 8*f**3.\nAnswer: -8*f**3 + 22*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -103 - -83.4. Let z = -58.4 + p. Let u = z - -78.79. Round u to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-20 + 5 - (-5 + 6 + -7) - -52).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-4)\/(-3))*2\/1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - (1 + 1))*1. Let n(s) = s**2 - s - 2. Let p(w) = 2*w**3 - 3*w**2 + 6*w + 12. Let i(q) = -6*n(q) - p(q). Calculate i(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 118*o. What is the units digit of k(18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -a**4\/12 - a. Let x(t) = t**2 - 4*t - 2. Let l be x(5). Let n(y) = -4*y + 0*y + l*y. Calculate n(v(j)).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 22904, 43807, 64710, 85613, 106516?\n\"Answer: 20903*z + 2001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppspkrs. Give prob of picking 1 s and 1 p.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 5. Suppose -o + 13 - 47 = -2*b, -5*b + 3*o = -87. What is the highest common factor of b and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h - 42669 - h**2 - h**3 + 0*h**3 + 42670 to d + j*h**3 + p*h**2 + x*h and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 18227928635 and -78.\nAnswer: 18227928557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 127\/117 + -5851\/468. What is the common denominator of (-34)\/4 - (1 - -2)\/(-1) and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -12 - (-6 + 22)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*y**3 - 99300*y**2 - 33099*y.\nAnswer: -3*y*(y + 11033)*(3*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - b)*(-b + 5*b + 2 - 5*b)*((-1 + b + 1)*(b - 5*b + b) - 32*b**2 - 29*b**2 - 10*b**2) to j*b**2 + o + i*b**4 + q*b**3 + z*b and give i.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-4\/27)\/y**(1\/10))\/((y*y*y\/(y\/(y**(-2\/13)\/y))*y)\/y**(-3\/34)))**(3\/10) assuming y is positive.\nAnswer: y**(-32558\/49725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(343) - sqrt(343))*-5)**2.\nAnswer: 34300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 6, -6, -1 in ascending order.\nAnswer: -6, -3, -1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/39 - -4\/39. Let d = 17\/60 + -8\/15. Which is the second biggest value? (a) d (b) 0.5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 874711?\nAnswer: 874711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -18. Suppose 0 = -c - k + 2. Solve -1 - 3 = 4*p - 2*n, c*n + 2 = -2*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b09 (base 14) to base 16.\nAnswer: 1de5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -202 + 266.8. Let f = n - 47. Let p = f - 17.800182. What is p rounded to 5 dps?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03718 to three dps.\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/442? (a) -34 (b) 3 (c) 0.3 (d) 0.1 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 319591014*a**4 - 42597228*a**2.\nAnswer: 7670184336*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - (-451)\/(-22)) + 498\/196?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-132) + 4*(-1)\/(-24)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3 + 498*t**2 + 679429*t + 15351258.\nAnswer: -(t - 1118)*(t + 23)*(t + 597)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 18418 to the power of 1\/2, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 68, 54, -37.\nAnswer: -37, 4, 54, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34722 and 1105960.\nAnswer: 1286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3881713763 take away -8?\nAnswer: 3881713771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9424619 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of h**5\/12 - 31*h**2. Let g(t) = 0. Calculate t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 426 - -5?\nAnswer: 42b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -402114422 - 3?\nAnswer: -402114430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 9:49 PM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dvgvhgkgg. What is prob of sequence kgh?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4508 is divided by 337.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e, 1 v, and 1 l when four letters picked without replacement from vlekevvlllvvkkllkv?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z*z*z*z**(1\/10))\/z*z**(1\/12))\/(z**(-4\/7)\/z**(1\/4)) assuming z is positive.\nAnswer: z**(841\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z - 1. Let s be 9\/(-3) + (-7 - -4). Let c(d) = -d**2 - 6*d - 6. What is s*a(b) + c(b)?\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, 4, -3, 0.4, -7 in decreasing order.\nAnswer: 4, 0.4, -0.06, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -121*w - 82\/5*w**5 + 0*w**2 + 87 + 0*w**4 + 0*w**3. Differentiate u(x) wrt x.\nAnswer: -328*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 0, -2*o + 7*o + u - 50 = 0. Find the common denominator of 43\/2*(-12)\/(-18) and (-4)\/o - (-742)\/30.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and -313.\nAnswer: -2504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 12:50 PM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or 0.463?\nAnswer: 0.463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 29*p**5 - p**4 - p + 7. Let f(x) = x**4 - x**2 + x - 1. Let c = 177 + -176. Let j(k) = c*f(k) + v(k). What is the third derivative of j(y) wrt y?\nAnswer: 1740*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 304\/48 + (-188)\/600*4?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7320 = 7503*l + 2002*l + 2185 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 20 = 2*r. Let i = r + -2. Does 3 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 5*q - 25 = 3*g, g = 5*q + 45. Let a be (-124)\/(-24) + q\/(-12) + -1. Solve -a*w + 2*w - 9 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11362.\nAnswer: 2, 13, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of w**7\/504 - w**6\/16 + 3*w**5\/4 + 25*w**4\/6 - w**3\/2 - 19*w - 1. Let l(t) be the third derivative of v(t). Factor l(d).\nAnswer: 5*(d - 6)*(d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 2*m + 16, 14*i + 24 = 6*i - 3*m. Let q(a) = -a**3 - a + 34. Calculate q(i).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/1064097?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -2\/17, 4002, 0.2, -3, 2\/5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6\/13, -3\/8, 0.04, 0.4, -3, 521?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of a**6\/3 - 8*a**5\/5 - 3*a**4\/2 + 44*a**3\/3 - 4*a**2 - 48*a - 913. Let k(b) = 0. Calculate b.\nAnswer: -2, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/41, 1, -0.3, -168\/2215.\nAnswer: -0.3, -168\/2215, -2\/41, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 411901 and 213693?\nAnswer: 3097","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8684269 centuries to millennia.\nAnswer: 0.08684269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-487*(-4)\/168)\/8 - (-8)\/14 and -119\/480.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -853, -1700, -2537, -3358, -4157, -4928, -5665?\n\"Answer: q**3 - q**2 - 851*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen tenths of a tonne in kilograms?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -8*g**3 - 5*g**2 + 389*g + 1009. Let w(i) = -12*i**3 - 8*i**2 + 584*i + 1512. Let y(o) = 8*h(o) - 5*w(o). Factor y(k).\nAnswer: -4*(k - 8)*(k + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c - 1. Let s be j(6). Let q(o) = 8*o + 8. Let f be q(-6). What is the tens digit of (f\/14)\/(2\/s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of 3*x**7\/280 - x**6\/40 + x**5\/60 - x**2 - x. Let h(p) be the first derivative of j(p). Determine m so that h(m) = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144395 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p - 2*p + 2 + 3*p + 2*p**3 - 3*p**3 + 4*p**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**3 + 9*z**4 + 3*z**4 - 14*z**4 - 9 + 5*z**4 + z + 2*z**2 to the form h + r*z + w*z**2 + u*z**3 + d*z**4 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -5*k - k. Suppose -4*t + 4 = -2*b, -4*t + 10 = -5*b - 0. Suppose t = 2*w - 44 - 2. Solve -z - y - 1 = -k, 0 = -5*z + 4*y - w for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15626736893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4835, 19399, 43659, 77603, 121219, 174495, 237419, 309979?\n\"Answer: -2*g**3 + 4860*g**2 - 2*g - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((134\/(-603))\/(2\/(-6)))\/((-4)\/(-42)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 53*q**2 + 275*q - 26. What is the remainder when p(-47) is divided by 155?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 698 - 703. Let i = 63 - 123\/2. What is the nearest to -3 in 0.5, q, i?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -13*b**3 + 1. Determine i(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5\/9 - 29\/36. Let x = -198 + 2176\/11. Which is the closest to z? (a) x (b) -4\/3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -108 (base 11) to base 8\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155 = 53*l - 49 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15592?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/378 and 76\/525.\nAnswer: 9450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5058020023.\nAnswer: 7, 2411, 299699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111715 = 12*w - 176*w + 82625. Is 119 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1433140 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/9 or -56817?\nAnswer: -56817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 4 - (0 - (5 + -8))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 118 in -7, 1, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 2*f + 2*f)*(-2*f**2 - f**2 + 5*f**2)*(-5 + 1 - 1) + (-f - f + 3*f)*(f**2 + 3*f**2 - 5*f**2).\nAnswer: -31*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -937*h + 937*h - 39*h**3 - 24*h**3.\nAnswer: -63*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50 - 49 - (0 + -2) - 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 47 and 0.119.\nAnswer: 47.119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1*sqrt(3) + (2 + sqrt(12))**2.\nAnswer: 15 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*p = 40*p. Sort 1, p, -0.4 in descending order.\nAnswer: 1, p, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 121 + -51. Is s a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-8) + (-1518)\/(-8). Suppose -4*a - 61 = -n. Is 10 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52.4 - -418.6. Let b = -510.3 + m. Let p = 33 + b. What is p rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 740.\nAnswer: -1\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*l + 57*l - 30 = 0. Suppose t - 13 = 5*k, -t + l*k - 2*k = -11. Solve t*j - 13 = -v + j, 0 = 3*v - j - 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -1\/2, -266, 3\/8 in ascending order.\nAnswer: -266, -1\/2, -1\/3, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 15*m - 38. Let v = 1517 - 1299. Calculate the remainder when v is divided by s(5).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a + 1. Let t(y) = 16*y. Let n(j) = 41*j + 2. Let k(m) = 2*n(m) - 5*t(m). Calculate 4*g(i) - k(i).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*c**2 - 5*c**3 - 2*c**2 + 8*c**2 + 12*c + 4*c**3 to the form b*c**2 + x + v*c + k*c**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 27270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 181, 7, 2\/7, 207, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 124502414321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 3*c. Suppose 9*v - 4*v - 5 = c. Which is smaller: 2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55400 by 25.\nAnswer: -2216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - 0. Let j = 33 - 16. Let t be (0 - -2) + (-36)\/j. What is the closest to i in -0.3, t, -2\/11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -39*q - 200. Determine r(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 434, 433, 432, 431?\nAnswer: 430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - o - d + 6, 3*d = -5*o + 22. Solve -14 = 4*r + o*j, 2*r + 8 = j - 1 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1298*b - 1030 = -1303*b. List the prime factors of b.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lp when two letters picked without replacement from {p: 1, l: 3, k: 3, q: 7, d: 4}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((5 + sqrt(13) + sqrt(52)\/sqrt(4) + -1)**2 + 0).\nAnswer: 32*sqrt(13) + 136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 1. Let t(o) = 10*o**2 + 9. Let n(y) = -36*a(y) - 4*t(y). Let n(c) = 0. What is c?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 3*n**4\/4 - 10179*n**3\/2 - 203913*n**2\/4 + 56067*n = 0.\nAnswer: -11, 0, 1, 6796","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3*f**2 - 1)*(9*f + 7 - 12 + 4) in the form b*f**2 + s*f**3 + v*f + z and give s.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-579*w**2 + 4443*w - 4443*w)*(6*w - w - 4*w) in the form h + k*w + b*w**3 + p*w**2 and give b.\nAnswer: -579","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1727.3 + -1727. Let w = 17 - 18. What is the nearest to r in 5, -0.06, w?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -2. Calculate the remainder when 2 - (z + -3) - -18 is divided by ((-10)\/6)\/((-1)\/6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-one quarters of a micrometer?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -10b26?\nAnswer: 10b2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59952, 119879, 179758, 239565, 299276, 358867, 418314?\nAnswer: 477593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16397 + -15875. Calculate the remainder when f is divided by 160.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*z + 69*z - 12*z + 9*z to c*z + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 2, -u + i + 0*i - 5 = 0. Which is smaller: u or -32\/9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -84 (base 12) to base 8\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((5 + 3*(sqrt(20) + 0) - (2 + 0 + sqrt(500) + (sqrt(500) - (-1 + sqrt(500) + 0)))) + -4)**2.\nAnswer: 16*sqrt(5) + 83","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -8\/3*k**3 + 0 + 42*k + 0*k**2. Let r(q) = -6*q**2. Give d(r(w)).\nAnswer: 96*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/462)\/8*(5\/(-2) + 110\/30)\nAnswer: -1\/66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 10 = -4*a. What are the prime factors of (-6)\/(a\/1)*2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4644617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -93294*k**4 + 140275.\nAnswer: -373176*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319313?\nAnswer: 319313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -0*z + 2. Let m be z*2\/(-10) - -1. Let x(k) = 4*k**2 - 21*k - 16. Let y be x(6). Is m greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11201 + 2?\nAnswer: 11210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 382 + 32 = 0. Let b = 249 - s. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b = 16*b - 3. Find the second derivative of -96*r**2 + 3*r**b + 96*r**2 + 34*r + 22*r**3 wrt r.\nAnswer: 150*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -3*z + 17, a - 13 = -0*z - 2*z. Suppose 2*v - 4*h = -v + 12, -z*v + 16 = -4*h. Solve 179 + v*k**2 + 17 + 0*k**2 + 56*k = 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 10*a**2 - 7*a - 12. Suppose -3*i + 14 + 15 = -v, 0 = 2*i + v - 16. What is l(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102\/(-156) + (-8)\/(-52)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 12 * -41\nAnswer: -492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1001433 + 21?\nAnswer: -1001412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195195 + 30*q - 109*q - 195188.\nAnswer: -79*q + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l**4\/5 + 1738*l**3\/5 - 4606*l**2\/5 + 4022*l\/5 - 1148\/5 = 0. Calculate l.\nAnswer: 2\/3, 1, 287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7018 is divided by 296?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 88895809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*h - 5*h + 10. Let i be -4 - (-4)\/(-1 - h). Suppose i = -4*w + c + 8, c = -4*w - 4*c + 32. Solve 2*y = 2*r - w - 11, 26 = -2*y + 5*r for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*p - p - p - 4*p + 22*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 225 - 135. What is the lowest common multiple of 3 and v?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 980634007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a - 4 - 2 + 5)*(-3*a + a - 2*a)*(-4*a + 23*a - 12*a) to z*a**3 + v*a + r*a**2 + t and give r.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -21848\nAnswer: -2184.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 2457156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 14 = -2*o, -4*o + 5*o = -3*s - 15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*o + 117*o + 6*o**2.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-196))\/(((-2550)\/(-175))\/(-17)).\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0244749 millennia to decades.\nAnswer: 2.44749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*c - 10, 3*w + 2*c - 4 = 0. Let y be -32*(w - 15\/12). Suppose -3*g = -g - y. Solve 2*s - 7*s = -g for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -27*d - 55 - 2*d**2 - 8*d - 15*d - 19. Let i be u(-23). Solve -5*w + 3*a - i = 5*a, 0 = -2*w - 3*a - 16 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (-2 - 0)) + -11 + 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 - 22. Solve 5*t + 28 = 4*q, 2*q - 3 - d = 2*t for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/183045408 and 47\/10232352.\nAnswer: 1647408672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12172 + -12169. Put h, 673, 5 in descending order.\nAnswer: 673, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*c**3 + 105*c + 8*c**3 - 1 - 83*c - 2*c**3 + 2*c**2 - 2*c**2 + (69 - 69 - 3*c**3)*(3 + 3 - 4) to o*c**3 + z*c**2 + f*c + s and give f.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) -2\/15 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/3)\/(b\/(b*b**10*b)) assuming b is positive.\nAnswer: b**(35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u = 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 487 a factor of 77563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, q: 5, o: 5}. What is prob of sequence ioi?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a tonne in kilograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 134000000 to the nearest 1000000.\nAnswer: 134000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64*k**2 + 543 - 271 - 272 to the form n*k + z*k**2 + x and give z.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 65056380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001073589564 rounded to seven dps?\nAnswer: 0.0001074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2204*x - 34. Let z(k) = -k + 6. Give -y(p) - 6*z(p).\nAnswer: -2198*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**3 + w**2 - 6*w + 6. Let j(r) = -r**3 - r**2 + 5*r - 5. Give -6*j(c) - 5*x(c).\nAnswer: -4*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 364345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -6*k**3 + 10*k**2 + 9*k + 7. Is 5 a factor of a(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19304830?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -857*b**5*f**2 - 7379*b**5 - 2*b*f**2 + 3*b*f + 981*b + 3*f**2 - 56 wrt b.\nAnswer: -17140*b**3*f**2 - 147580*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 5*g + 20, -3*g - 5*a + 7*a = -10 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, 6, 27, 48?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 5*v - 20, 16 = -2*i + i - 3*v. Which is the closest to i? (a) -0.02 (b) -0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 124442 and 1462?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - q. Let f = q - -17. Suppose -4*d + 2*j + 18 = 0, 5*j - 2*j = -2*d - 11. Solve 0 = d*l + 4, 4*y - f = y + l for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 10*f - 13. Let s = 5 - 14. Let a be m(s). Sort -2, -1, a in decreasing order.\nAnswer: -1, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/7)\/(15800\/(-8848))*2*5\/(-4)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 952 is divided by 48.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/2 and 29\/98?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-10)\/(h**(2\/9)*h)*(h**(2\/3))**17 assuming h is positive.\nAnswer: h**(1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 462 and 336.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.51145 + 30.38045. Let b = -0.131 - v. Which is greater: b or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = 822*k - 809*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 10*d + 75. Give a(-15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 3*l**2 - 14664*l + 102501 = 0.\nAnswer: 7, 4881","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.9? (a) -1 (b) 4 (c) -3 (d) -4 (e) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 492757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37 + 39. What is the biggest value in 0.25, z, 2\/3, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 1. Suppose -7*y + 24 = -p*y. Factor 0*b**4 + y*b**2 - 4*b**2 + 2*b**4 - 4*b**3.\nAnswer: 2*b**2*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 0*a = 5*u - 359, 0 = -5*u - 4*a + 362. Let x be ((-105)\/u)\/(6\/(-104)). Calculate the greatest common divisor of x and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*o**2 + 35*o**2 - 147*o**3 + 154*o**3.\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + 30. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 456 + -459.27. Round i to 0 decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2601 minus -1246190?\nAnswer: 1243589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 5 + 2 + 5*o + (121 + 32 + 18)*(-3*o - o + o) in the form s*o + j and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*z + 15*z**5 + 14*z + (0*z + 0*z - 2*z**3)*(-1 - z**2 + 1) - 1 + 1 + 2*z**5.\nAnswer: 19*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a + 476 - 18*a + 862 - 293.\nAnswer: -18*a + 1045","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -154910*l**4 - 274*l**2 + 4348*l + 706 wrt l?\nAnswer: -1858920*l**2 - 548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-630)\/(-420) - ((-50)\/(-28))\/1.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2 = -3*z - 1, -4*z - 20 = 0. Suppose 0 = 4*w + a - 71, -37 - 39 = -5*w + 3*a. What is the remainder when (-7)\/((-28)\/r) - -46 is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178757434.\nAnswer: 2, 19, 37, 127139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of 0*y - 2\/3*y**3 + 3 + 0*y**2 + 1\/2*y**4. What is the third derivative of j(x) wrt x?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 8 = -7*i. Let a(r) = 9*r**2 + 4*r - 3. Is a(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 515 is divided by 479?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -12*b**3 - 16*b. Let o(l) = l - 31. Let i be o(33). Let s be -19 - (i - (10 + -5)). Let p(g) = 4*g**3 + 5*g. Let f = 3 - 8. Give f*u(q) + s*p(q).\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 540.214 rounded to the nearest ten?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.0729585 millennia?\nAnswer: 7.29585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 + (-158000)\/(-1027) + -76.\nAnswer: 24\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 32 = -7, -4*v + 135 = -3*l. Let t be 13\/(39\/v) + -5. Solve 12*g = t*g - 14 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1077832.\nAnswer: 2, 7, 19, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one quarter of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6320641693 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*k - 1. Let t = 10 + k. Solve -c + 1 = -t for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * -0.228002\nAnswer: -0.00684006","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Is 3505 a factor of 131328845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*r - 3*b + 19 = 19*r, 2*r = -4*b - 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 82, 327, 922, 2041, 3858, 6547, 10282?\n\"Answer: 29*c**3 + c**2 + 39*c + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 91 (b) -1 (c) -2\/9 (d) -3 (e) -6\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19635543*z**4 - z**2 - z + 2914064 wrt z?\nAnswer: -471253032*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 45 - 15*n**2 + 7*n**2 - 5*n**3 - 28 - 20. Let d(y) = -14*y**3 - 23*y**2 - 9. What is 6*d(f) - 17*q(f)?\nAnswer: f**3 - 2*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11047.45 or 2\/381?\nAnswer: 2\/381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(28) + sqrt(112) + -1)**2*1 - 4*(sqrt(112) + 4)*-2.\nAnswer: 8*sqrt(7) + 1041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-1 - (7 + 1)). Let h be ((-60)\/(-45))\/((-22)\/(-3)). Suppose 3*p + 0*p = -15. Which is the biggest value? (a) p (b) h (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1218422.4ns?\nAnswer: 0.00002030704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1343449262?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-6)*9\/63?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 29729 divided by 1?\nAnswer: 29729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4094ca (base 15) in base 9?\nAnswer: 5686741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39190189 at least as big as -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 5*o + 6. Let c be r(-4). Suppose -t + 3*b = -9, 0*b - c*b = 4. Is 438 - t*2\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -213 - -251. What is the second smallest value in 0.4, -5, k, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 1478 = q - 2*a, -2*q - 5*a + 2951 = 0. Let o = -2156 + q. Let m = 1691 + o. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r + 30742 + 119590 = 0. What is the thousands digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3)*j*j**2\/j)\/(j**(-4\/11)*j\/j**(-3)) assuming j is positive.\nAnswer: j**(-51\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 7*v - 6. Let r = -13 + 19. Let a be b(r). Solve -m - 5 = 3*x, a*m - m = 2*x + 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -10, 1, 47 in decreasing order.\nAnswer: 47, 1, 0.4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/16806 and 37\/18?\nAnswer: 50418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.0239 + -0.2761. Which is the second biggest value? (a) u (b) 0.4 (c) 2 (d) 1 (e) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 9 = -14*r. Let b be 65\/(4 - -1) - r. Which is smaller: 15 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c + 18. Let n be b(-14). Suppose -3*j + r = -4*j + 96, -n*r = 3*j - 286. Does 27 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*3.4.\nAnswer: -0.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 15 + 3 = 0. Suppose -2*o + 66 = 4*y, -7*o + 5*y = -9*o + 66. Calculate the least common multiple of o and x.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 4*z - 3*z)*(3 - 2*z - 3)*(-1 + 3 - 3).\nAnswer: -14*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3*y = 0. Suppose 0*z + z - 4 = y. Solve -5*o = 4*r + 18, 4*r - 5*o = r + z for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 142734926 to the power of 1\/3, to the nearest integer?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of c**3\/3 + 2*c. Let r(v) = -51*v + 95*v - 48*v. Determine r(y(l)).\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + 2. Let o(n) = n**3 - 6*n**2 - 5*n - 6. Calculate o(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of 0 - 1\/12*x**4 - 1\/20*x**5 + 0*x**2 + 3*x + 1\/6*x**3. Calculate d(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 152002603 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 41942299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + f - 12 = 0. Suppose -6*i + 4*i = -8. Suppose f*q + 5*s = 13, -i*q + s + 31 = q. Put q, -0.5, 2 in ascending order.\nAnswer: -0.5, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**3 + 5*k**2 - 2*k - 4. What is the units digit of b(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 461472 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 813547\/45820 - 1390\/79. Calculate the common denominator of i and 25\/348.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -4. Let m(d) be the second derivative of -d**3\/6 - 17*d**2\/2 + 3*d. Determine -2*m(n) + 9*z(n).\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -398*w**4 + 1620 wrt w?\nAnswer: -1592*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 250\/(21 + -11) + -20. Solve q - b = -3*n, -6 = 7*q - 9*q - 4*n for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 3*f**2 + 3*f + 2. Let h be k(-2). List the prime factors of (220\/12 + h)*3.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 829013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(39) + (sqrt(4719) - (sqrt(4719) - (sqrt(4719) - 2*sqrt(4719) - sqrt(4719)))))\/(sqrt(24)\/sqrt(72)) + -4*(2*sqrt(13) + sqrt(13)) + 2 + 4)*-6)**2.\nAnswer: -32400*sqrt(13) + 2633796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3*i - 321 = 0, -2*c = 2*i + 3*i - 345. Is 15 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/7)\/m*m**(-4))\/(m**(-1)\/(m**(-3)\/m)) assuming m is positive.\nAnswer: m**(-59\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -173.52138 (b) -2\/9 (c) -2\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by -24120.\nAnswer: 19\/24120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 - 14222916*g + 42668712.\nAnswer: 4*(g - 3555726)*(g - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -663 divided by -8\nAnswer: 663\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**3 - 1. Let v = -47 - -48. Let i(w) be the third derivative of w**6\/120 + w**3\/6 - w**2. Determine v*m(t) + i(t).\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -3, 1 in increasing order.\nAnswer: -3, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 113330000 rounded to the nearest one hundred thousand?\nAnswer: 113300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 10, x: 2, z: 3, d: 3}. What is prob of picking 1 d and 3 g?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 156980, -4 in decreasing order.\nAnswer: 156980, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1003 - 4?\nAnswer: -1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1352, 2729, 4106, 5483?\nAnswer: 6860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 1 = 2*p + 1, -5*p - 15 = 5*f. Which is the third biggest value? (a) -0.4 (b) p (c) 0 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 381, 2\/15, 2\/7, 0 in increasing order.\nAnswer: 0, 2\/15, 2\/7, 15, 381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**3\/3 - 2704*a**2\/3 - 16143*a - 72522 = 0. What is a?\nAnswer: -2686, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06623*-3397.\nAnswer: 224.98331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 46*n = 45*n - 47, l - 5*n = 25. Let j(h) = 3*h**2 + 5*h - 5. Let u(t) = t**2 + 2*t - 2. What is l*u(d) - 6*j(d)?\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 114788881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20082957 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17\/22 + 3\/110. Which is the closest to 0.04? (a) 1 (b) -4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 254*n**2 + 11*n + 10. What is the tens digit of u(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -7867\nAnswer: 4\/7867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 22818, 22819, 22820?\n\"Answer: t + 22817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + -1 + -5*-5*(sqrt(2057)*-2 + 2)).\nAnswer: -147 + 1650*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -679 (base 11) to base 3.\nAnswer: -1010002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -813 + 830 + (-5 - (-3 - -10))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 5*m + 13. Let x = 17 + 4. What is the remainder when x is divided by o(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p + 4*p - 8*p + 3*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, -50, 8, 24 in ascending order.\nAnswer: -50, 8, 24, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/219 and 89\/584?\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1290200 rounded to the nearest 10000?\nAnswer: -1290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + 31*s + 177. Give b(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 7:59 PM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, r: 1, d: 3, a: 2}. Give prob of picking 1 a and 1 d.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 81 - 26. Calculate the remainder when g is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 6:15 AM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j - 2. Let a be g(10). Let f = 176 + a. Suppose f + 101 = 5*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (435625\/(-12600) - -33) + -6 + (-272)\/(-36).\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 - 83 = -3*r. Let x be r - (0 - 1)\/1. Suppose -34 = -4*l + q, 5*l + 6*q - 32 = 2*q. What is the greatest common divisor of x and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19334, -20655, -24244, -31235, -42762, -59959, -83960?\nAnswer: -115899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 338 divided by -15?\nAnswer: -338\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - 2*n + 2*n)*(0 + 0 + 6).\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1602, 1541, 1432, 1275, 1070?\nAnswer: 817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.4, 0.8, 3\/6077, -4 in ascending order.\nAnswer: -4, 3\/6077, 0.4, 0.8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - -5 - 0) + 3. Suppose z*y - 263 = -2*c, -81 + 345 = 5*y + c. Suppose 4*p - y - 75 = 0. Solve -3*g = -3*o - 2*o - p, -3*o - 4*g + 4 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 5*y**2 + 229*y - 15. Let f(h) = -24*h**2 - 1146*h + 70. Determine 9*f(m) + 42*p(m).\nAnswer: -6*m**2 - 696*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 6 - (32 - (14 + 10)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -13*u**3 - 4*u**2 + 34*u - 29. Give y(-6).\nAnswer: 2431","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -55788 and -2?\nAnswer: 111576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w - 7. Let x be a(-5). Let y = -3250 - -3254. Sort y, 5, 2, x.\nAnswer: x, 2, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 + -26. Is (-5964)\/(15\/(-5)) + s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -17*k + 5. Let a be p(-3). Let c = a - 55. Solve 3*u + 3*i - 8 = c, -2*u + 2*i = -14 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**3\/13 - 1620*z**2\/13 + 3254*z\/13 + 4872\/13 = 0. What is z?\nAnswer: -812, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.799 * -5169\nAnswer: 4130.031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from smnmfce. What is prob of sequence cf?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15214279?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8445 is divided by 765.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.7151 at least -0.102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1271 and 123?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28\/2323 + 10\/101. Let u be (-1*(1 - 0))\/(-1). Are u and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 3*h = -37, 6*s - 2*s = -2*h + 34. Solve i - 1 + s = 0 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2 + 5*a - 4. Let q(c) = -c**2 + 2*c - 2. Let i(u) = -2*u**2 - u. Let p(z) = i(z) - q(z). Give -5*p(g) - 2*x(g).\nAnswer: g**2 + 5*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of -t**5\/10 - 3*t**4\/2 - t**3 - 13*t**2\/2 - 52*t. Is j(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kypxhyu. What is prob of sequence yp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 12692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14252822?\nAnswer: 2, 223, 31957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 + 31. Find the common denominator of 1196\/60 + 3\/(-5) and (426\/96 - 5)*g\/(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 192.7 and -3?\nAnswer: -578.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -106, -136, -166, -196, -226?\n\"Answer: -30*j - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/77*(146 + -201)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, 0, 3\/4, 2\/7, 21, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 23220.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - 0)*(-6)\/2. Suppose 0 = a*t + t - 28. Suppose 2 = g + t. Put g, -4, 3 in increasing order.\nAnswer: g, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a - 2*a - a + (a + 4*a - 3*a)*(-1 - 1 + 1) - 5*a - 2*a - a + (1 + 2 - 1)*(0 + 0 + a) - 70 + 70 + 27*a.\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/(-2 + (-1)\/(-2)). Solve 5*p - 7 = b for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(117) - (3 + sqrt(117) + -2)) + sqrt(117) + sqrt(117))*-1 + 4 + -2 + -3 + 0 + sqrt(117))**2.\nAnswer: 12*sqrt(13) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 15) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -13*h**2 - 23*h - 294. Let g(z) = 24*z**2 + 33*z + 586. Let w(p) = 2*g(p) + 5*t(p). Find the first derivative of w(r) wrt r.\nAnswer: -34*r - 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142199 to the power of 1\/2, to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2799497433?\nAnswer: 3, 409, 2281579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11131.978*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4009\/11 - -365. Let b = 76\/99 - j. Let k be 6\/9*(-3)\/6. Sort k, b, -0.1 in ascending order.\nAnswer: k, -0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 + 9 + (-32 - 17).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1723110 to the nearest integer?\nAnswer: 1313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 55 = -u, 3*c - 3 = -3*u + 54. Does 6 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 293\/381 or -12?\nAnswer: 293\/381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -0.2, -2\/7, -3, -0.1632, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -135 or -137?\nAnswer: -137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 879 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -728, -1395, -2022, -2609, -3156, -3663, -4130?\nAnswer: -4557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 0.3, -5, -2\/11, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1037281697?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 46130 and 0.3.\nAnswer: 46130.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 17*f**2 + 2*f + 17. Let m be q(-17). Let o be (-14)\/4*(15 + m). Solve 0 = 2*v - o*v - 25 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 10*j**3 + 3*j**2 - 4*j - 3. Let k(f) = f**3 + f**2 - 1. Let a(q) = 3*k(q) - x(q). Find the second derivative of a(m) wrt m.\nAnswer: -42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -1\/3, -2\/3, -5612, -24 in ascending order.\nAnswer: -5612, -24, -5, -2\/3, -1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2755 and 589.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-1\/6))\/p**(1\/9))\/(p\/p**(3\/5)*p\/p**(-4))*(p\/(p*p**(1\/10)))\/(p*p**(-8))*p**(-3)\/p**(-7) assuming p is positive.\nAnswer: p**(56\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29089 + 15168 + 18689)*(5*l - 2*l - l).\nAnswer: 9536*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 5*r - 2*r. Let x = 15 - r. Solve 2*s = -s + 4*p - 4, -x = 3*s - 5*p for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, a: 4, o: 3, q: 2}. What is prob of sequence aaq?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6475, -12959, -19449, -25945, -32447?\nAnswer: -38955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13268 - -13268.2. Which is the nearest to 2? (a) -6\/5 (b) 0.08 (c) p (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1314 is divided by 53?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196 - 174 = -115*r + 90. Sort -2\/5, -3, r, 0, 13\/3.\nAnswer: -3, -2\/5, 0, r, 13\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54343753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 0 + 32 = 0. Let r = 522 - 518. What is the second smallest value in q, 0.1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x + 3 - 3 + (-2*x - 3*x + 7*x)*(1 + 2 - 5) + 14*x - 21*x + 11*x - 3.\nAnswer: 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1203247\/376 - 1\/8 - -7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k**3*o**3 + 10*k**3*o - 194*o**5 - 2*o**2 wrt o?\nAnswer: 12*k**3 - 11640*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p**2 - 6*p**2 - 43*p**3 + 44*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2507343.2348 - -17.7652. Let x = a + -2507119.9803. Let q = 241 - x. What is q rounded to three dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15)\/(-18) - (-6)\/(-9). Let w = y + -2\/21. Let k = -6 + 5. Which is smaller: w or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 595641\/35 - 17021. Let v = y + 12\/5. Let d = 0.1 - 0.2. Which is the closest to v? (a) -4 (b) d (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 7:47 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/347792 and 101\/112.\nAnswer: 2434544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 3 - o + 3*o - 5.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15623 - 1939*u + 15623 + 435*u - 22710*u + (u - 3*u + 0*u)*(4 - 6 + 0).\nAnswer: -24210*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11199 (base 12) to base 14.\nAnswer: -83d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12.1, 0.2, 0.48 in descending order.\nAnswer: 0.48, 0.2, -12.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 409177549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 68*u**2 + 68*u**2 - 115*u**2 in the form f*u + x*u**2 + s and give x.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.01 and -1.3?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-12) - (-12)\/(-18). Suppose 5*k = 6*k - 4. Let i be k\/(-8) + (-17)\/(-2). What is the second biggest value in l, i, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9076326 - 9076326 + 323*k to the form s + d*k and give d.\nAnswer: 323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zxzl when four letters picked without replacement from {l: 3, m: 6, k: 2, x: 5, n: 1, z: 3}.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yag when three letters picked without replacement from {y: 2, g: 1, a: 2, t: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 22 = -0*t + 3*a, 120*a = 6*t + 119*a - 64 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(84)*-1 - sqrt(84))*-4)\/(-4*(sqrt(768) + -3*sqrt(768)) - sqrt(768)).\nAnswer: -sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1759939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 5. Let w(h) = h - 9. Suppose 5*y + 36 = 11. Give y*s(l) - 3*w(l).\nAnswer: -3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.0876043114456 + 4\nAnswer: 4.0876043114456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d - 5. Let i be b(4). Let s(q) = 12*q - 7. Is s(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/1092 and 17\/111462.\nAnswer: 1560468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -265*r - 5. Let o be h(-2). Suppose -5*v + o = -2*v. What is the second derivative of 89*w**3 - 21*w - v*w**3 - 3*w**4 + 86*w**3 wrt w?\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = o + 301, -3*o - 4*n = -2*n + 968. Suppose -3*t + 12 = 3*k, -5*k + t + 9 = -11. Is (o\/k)\/((-3)\/6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3074, 3054, 3034, 3014?\n\"Answer: -20*w + 3094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -57607 or -57625?\nAnswer: -57607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-38 - 30 - 15 + 15*d + 99)*(18*d**3 - 37*d**3 + 7*d**3) as q*d**4 + c*d**2 + l*d + t*d**3 + x and give q.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 10) to base 2.\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 183 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a week in minutes?\nAnswer: 11760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*g**2 - 13*g**2 + 2*g**5 + 4*g**2 + g**5 - 4*g**2 + (-5 + 2*g**2 + 5)*(-3*g**3 + 7*g**3 - 3*g**3) + 2*g**5 + 0*g**5 - g**5.\nAnswer: 6*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -1, -1\/2, 5, -7308?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 a when two letters picked without replacement from tttttaaatvlttttltlll.\nAnswer: 33\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(2\/5)))**(-39)\/((o**(2\/7)*o*o)\/(o*o*o**20)) assuming o is positive.\nAnswer: o**(1236\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 626.1 - 625.6. Sort -2\/5, j, -0.039, 0.2.\nAnswer: -2\/5, -0.039, 0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 365 divided by 5.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**1)\/(s*s\/(s*(s*(s**(2\/5)*s)\/s)\/s)))\/(s**(-3\/5)*s\/(s*s**(1\/2)*s))*((s*(s**(1\/4)*s)\/s)\/s**(-1))\/(s**(-7)*s**5*s) assuming s is positive.\nAnswer: s**(27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*i + 8*i - 17*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 30*s + 327. Give n(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 3 = -0*f, 4*c + 9857 = -5*f. Let m = -17205\/7 - c. Let t = 122\/21 - m. Which is smaller: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2 = -3*y, 3*y - 5 + 1 = 4*m. Suppose y = 5*s - 3*s - 6. Suppose 5*u - k - 38 - 38 = 0, 2*k - 43 = -s*u. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i - 7. Let m(z) = z - 21 + 17 + 8*z - 8*z. Calculate 7*m(a) - 3*x(a).\nAnswer: a - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + 0. Suppose 0 = 4*o - 0*o - 2*x, -o - t*x = 0. Let r be (o + 2)*-1 + 15. Calculate the highest common factor of 52 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1996627*r**2 - 2109848*r wrt r.\nAnswer: 3993254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + 17*v + 55. Let i be 21*((-32)\/(-4) + -2). Let y = i - 107. Calculate the remainder when 31 is divided by r(y).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*d - 25 = 0. Let p(s) = s**2 - 7*s - 3. What is the remainder when p(d) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3\/43 - -49\/86. Sort 0, 0.13, h, -5 in descending order.\nAnswer: h, 0.13, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3*m + 2)*(0*m**3 + 4*m**3 + 5*m**3) - 243 - 10*m**4 + 243 in the form f*m**4 + z*m**2 + r*m**3 + v*m + c and give f.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 3*b + 3. Let i(y) = -y - 1. Calculate -6*i(o) - 2*n(o).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*t**5 - 2*t**4 - 9*t**2 + 4042*t wrt t.\nAnswer: -160*t**3 - 24*t**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h. Let y(f) be the second derivative of -901*f**3\/2 - 359*f. What is y(x(g))?\nAnswer: 5406*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of 11*m**6\/60 - m**4\/24 - 8*m**2. What is the second derivative of j(k) wrt k?\nAnswer: 132*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 354942 to the nearest 10000.\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-180 - -186) + (2 - (-3 - -38))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = -3*o + 4*m + m, -5*o = 5*m - 150. Suppose 5*q + 19 = 5*g - 51, 0 = 2*g + 4. Let i = o + q. Solve -u = -5*n - 0*u - 12, -5*u + i = -3*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 22*b**2 - 21*b + 53. Let l be k(-23). Solve -g - 8 = -l for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 447857 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10242410 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 9 - 3, p + 18 = -5*j. Suppose -p*n + 67 = 43. Calculate the remainder when 55 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 - 8*b**2 + 3*b**2 + b**2.\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1648 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1985a7a (base 12) to base 13.\nAnswer: 1171798","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -64 + 109199?\nAnswer: 109135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, o: 2, p: 6, c: 5, t: 2}. Give prob of picking 1 t, 1 c, and 1 e.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 452*h**3 - 450*h**3 - 6 + 6.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -w**4\/12 - w**3\/6 + 5065*w. Let s(b) = -2*b**2 - b. Let c(v) = -v**2 + 3*v + 4. Let o be c(5). What is o*m(t) + 2*s(t)?\nAnswer: 2*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 3721 - 3735 = 3*a, -4*a = -4*g + 56 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.999999739 + 3. Round k to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52645 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23835 is divided by 1324.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41 + 53. Let f(g) = g**2 + g + 2. Let y be f(-3). Suppose 6*u - y*u = -26. Which is smaller: b or u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g**(-3\/5)*g))\/g*g**5\/g*g)**(-18))**(-31) assuming g is positive.\nAnswer: g**(12834\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 412414 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 2346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y - 9977 + 1349 = 0. Which is greater: y or 718?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -408 divided by -6.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*p + 26 = 0, 8 = -2*p + 2. Suppose -3*z + 2*q + 11 = k*q, q - 9 = -5*z. Let n(i) = -5 + 4 + 2*i + z. Let o(l) = 3*l. Determine o(n(x)).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -46*u + 7. Let v(s) = 13*s - 2. Let r(m) = 2*t(m) + 7*v(m). Let o(z) = -613*z**2. Calculate r(o(y)).\nAnswer: 613*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s - 3. Let q(h) = h**2 + h - 1. Let c be q(0). Let d(u) = -1. Let g = -24 + 23. Let r(n) = c*d(n) + g*k(n). What is the derivative of r(p) wrt p?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 14*p + 25. Put p, 3, 31 in descending order.\nAnswer: 31, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16221796?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j\/(j*((j*j**(1\/33)*j)\/j)\/j*j))*j**14*(j\/(j\/j**(-1)))\/(j*j**(-9)*j) assuming j is positive.\nAnswer: j**(727\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuqq when four letters picked without replacement from {q: 7, u: 5}?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 6*p = 6. Let k(o) = -o**3 - o**2 + 2*o - 1. Let i be k(p). Let s be i - (-1 - (-8 + 0)). Is -8 > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lluhthutllttuhhh. What is prob of picking 1 t and 1 h?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 341 and 231?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2652380675?\nAnswer: 5, 7, 15156461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 63.55, -2, -3, -1\/3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 11 + 1 = -4*l, 4*o = 4*l - 40. Let f be (o + 2)\/(-4) + -2. Let n be f*(1 + -2) - -1. Which is bigger: 5\/2 or n?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (84\/70)\/(2\/5). Solve 3*s = -t + 18 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -2\/3, 0.08, -0.2, 0?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -105.3 - -105. Let p = 7 - 11. Let g = -6 - p. Which is the smallest value? (a) j (b) g (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 166 - 98. Let z = 28 - s. Let r = z - -40.058. What is r rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 4 = 40. What is the greatest common factor of z and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49 or -48?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jtrrnrjsnj. What is prob of picking 3 j and 1 r?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/18*(-30)\/50?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -44, -49, -64, -95, -148, -229, -344?\n\"Answer: -g**3 + g**2 - g - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1aa - 36?\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 7*z**2 + 7*z - 5. Let d be g(6). Let u be (2 - d)*(1 + 3). Suppose -3*x + 17 = -2*n, 0*n + u*n = -3*x + 11. Is 5 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -2\/25, -0.3, 0.4, -0.21, 2\/825?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - b - 3 = 9, 0 = n + b - 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 0 - 1 - 1580*v**2.\nAnswer: -1580*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6112*m + 2967*m + 2690*m)*(14*m**2 - 11*m**2 - 8*m**2) in the form t*m**2 + s*m**3 + a + c*m and give s.\nAnswer: 2275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*p - 394 = 46 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -3*o + 2*p, 3*o - 17 = 4*o + 3*p for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 395*c**2. Let j(b) = 414*b. Calculate j(t(k)).\nAnswer: 163530*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 567 is divided by 52?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r. Let n = -2 - 4. Let d be z(n). What is the units digit of d\/(-21) - 19\/(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 0.2 (c) -0.068\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 544788436?\nAnswer: 2, 136197109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 7 = -2*i, 9*r - 10*r + 1 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-4 + -3 + 13).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 163, 859, 2007, 3607?\nAnswer: 5659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -248d (base 15) to base 6.\nAnswer: -100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 744637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 5, 1.67.\nAnswer: 1\/2, 1.67, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -930 divided by 10?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 6*b - 3 - 2*b)*(-b**4 - 4 + 4 + (-2*b**3 - b**3 + 2*b**3)*(-3*b + 5*b - b) + b**3 - b**4 - b**3 - 7*b**4 + 2*b**4 + b**4).\nAnswer: -14*b**5 + 21*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45 + -147. Let y(z) = z**3 + z**2 - z - 145. Let b be y(0). Let m = w - b. List the prime factors of m.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 6*t**3 - 3*t**2 + 3. Let p(n) = 7*n**3 + n**2 + 5*n - 1. Let d(j) = -j**2 - j + 1. Let g(h) = -5*d(h) - p(h). What is -3*g(v) - 4*r(v)?\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3\/11, -3\/73, 13?\nAnswer: -3\/73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + o**2 + 5*o - 7. Let w be g(2). Let v = 39 - w. What is the remainder when v is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**0\/u*u))**44*u**(-1\/6)*u**(-2\/9)*u)\/((u**(1\/9))**(-4\/17))**1 assuming u is positive.\nAnswer: u**(4553\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 28965\/2966 equal to 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-196)\/147)\/((-4)\/(-6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 487561?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7706, -30994, -69858, -124292, -194290, -279846, -380954, -497608?\nAnswer: -629802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*8\/(-10) + ((-1429)\/(-30) - 47))*42.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20042 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 eighth root of 45380095 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 44 = -3*a + 74, -5*x - 5*a = -580. Suppose -103*q = -98*q + x. Let y = q - -50. What is the remainder when 53 is divided by y?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3 + 4574*l**2 - 1008790*l - 2064830150.\nAnswer: -2*(l - 1405)**2*(l + 523)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/10 + 18\/10. Suppose -o*m = -13 - 9. Suppose -2*i = -0*i - 22. Calculate the greatest common factor of i and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*i + 24 + 18 - 42.\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7 - 0 - 0 - (-6)\/(-2). Put -3, 151, s in decreasing order.\nAnswer: 151, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*s + 4*s - 2*s + 5*s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-44)\/(-10) + ((-168)\/60)\/7. Suppose -2*c + i*m - 5*m + 1090 = 0, -m + 4 = 0. List the prime factors of c.\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 52*t**2 - 5. Let n(m) be the second derivative of 403*m**4\/6 - 39*m**2 - 3*m - 208. Calculate -78*l(u) + 5*n(u).\nAnswer: -26*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -880 (base 11) in base 9?\nAnswer: -1403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.09306 - 0.0843. What is b rounded to four dps?\nAnswer: 0.0088","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 608?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2582, 5205, 7826, 10445, 13062, 15677?\n\"Answer: -c**2 + 2626*c - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c - 6 + c - 6*c + c.\nAnswer: -4*c - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-12) + (-1 - -4)\/6.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4534*b**2. Let r(x) be the first derivative of -x**3\/3 - 2357. Determine n(r(w)).\nAnswer: -4534*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -399 != -399?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 5*i. Let q be g(5). Suppose 0 = -3*t + 3*z + 21, q = z - 6*z. Suppose 51*w + 32433 = 32943. Calculate the least common multiple of t and w.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2996*l - 606101 - 107791 = -5710*l for l.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 750 a factor of 11845500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -2*k**3\/5 + 138*k**2\/5 - 432*k - 7776\/5 = 0.\nAnswer: -3, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -178055\/4 at most -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - w + 5*w = 18966, -5*l + 47440 = 5*w. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 + -0.2. Let i = -228 + 376. Let l = -148.08 + i. Which is the nearest to v? (a) -4 (b) l (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2 - 4 = 4*v, 6 = v - 2*z. Suppose 9*i - 13*i + 4 = v. Sort 0, -3, i.\nAnswer: -3, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/59 greater than or equal to -1003?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 5*g**4 + 11*g**3 - 31*g**2 + 21*g - 6. Let z(t) = -10*t**4 - 23*t**3 + 63*t**2 - 43*t + 13. Let k(u) = -13*v(u) - 6*z(u). Factor k(h).\nAnswer: -5*h*(h - 1)**2*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -b**8\/6720 + b**7\/120 - b**6\/72 + 7*b**5\/120 - b**4\/12 + 16*b. Let d(r) be the third derivative of w(r). Is d(18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**3 - 33*u**2 + 18*u - 33. Let m be z(16). Put 4, m, 0, -3 in decreasing order.\nAnswer: 4, 0, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - 14*b - 10. Let q be c(-13). Suppose -2*y = 2, q*n = -n - 2*y - 138. Let x = -21 - n. What is the common denominator of -21\/5 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65987 is divided by 443?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66\/(-132)*(-2)\/(-4)*-1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - -3. What is w in o*w**2 + 54 + w**3 - 55*w - 3*w**3 + w = 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*l - 7*l - l - 6*l**2 to the form b*l**2 + g*l + p and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of t**4\/12 - t**3 - 2*t**2 - t. What is the units digit of v(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2279 + 2291. Calculate the highest common factor of k and 678.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 7*q = 2*w + 30, 5*q = -4*w. Let b be q*3*14\/21 - 4. Solve -20 = -4*p - s - 1, -b*p + 15 = 5*s for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.2 + 0.1904.\nAnswer: -2.0096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 239 a factor of 24405007?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d - q - 28, -94*d - 66 = -98*d - 21*q for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 - 26. Let l = s - 8. Solve j = -0*j + l for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - (sqrt(117) - 2*sqrt(117))*6)\/sqrt(9).\nAnswer: 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2 = -3*a + a, 0 = 3*a. Let q(s) = -215182*s**3 + 2*s**2 - 1. Let f be q(b). Let d = f + 505181. What is d rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281175136 a multiple of 1157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1542 divided by -494?\nAnswer: -771\/247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r - 2. Let a(i) = 36*i. Let f be a(1). Suppose -2*b = 4*l + 2*b + f, -5*b = 10. Let n be w(l). Solve 3*u + h = -2, 11 = -5*u - n*h - 9 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1462 divided by -250520.\nAnswer: 731\/125260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -14 (b) -2 (c) 0.4 (d) -5 (e) 3 (f) 0.2 (g) -33.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3 + 48*k**2 - 153*k + 108.\nAnswer: -3*(k - 12)*(k - 3)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 23356936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.06 + 0.64. Let m = f + 0.3. Let a = 1.1 - m. What is the closest to -1\/2 in 0.3, a, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 9. Let z be (40\/4)\/(2 + r). Let p be z\/(-3) - (-2)\/3. Let u(g) = 8*g - 1. What is u(p)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 1106665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 22*c**2 - 36*c + 63. What is i(24)?\nAnswer: 351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/17, 0.22, 36?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 7. Sort 0.3, 0.02, -2, u in increasing order.\nAnswer: -2, 0.02, 0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110100011111000 (base 2) to base 6\nAnswer: 324224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1375, -11064, -37353, -88540, -172923, -298800, -474469?\nAnswer: -708228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 41*w**2 + w - 1. Let g(k) = k**2 - 18*k + 71. Let i be g(6). What is the smallest common multiple of z(i) and 7?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4\/3 - 73*q**3\/3 + 1135*q**2\/3 + 2431*q + 2028.\nAnswer: (q - 39)**2*(q + 1)*(q + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-66)\/297 - (-2 - (-58)\/(-18)). Suppose -5*r - 4*j = -11595, -2042 = -r + h*j + 248. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11410*n - 89603 - 103300 = -1539398 - 125395 for n.\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 33, 108, 233, 414, 657, 968, 1353, 1818?\n\"Answer: r**3 + 19*r**2 + 11*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 5*k**2 - 1. Let b be p(1). Suppose 3*g + 4 = -5*q, -b*q + 0*g - g = 6. Put 5, q, -1 in decreasing order.\nAnswer: 5, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18724832?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6359817 to two dps.\nAnswer: 0.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -5*p. Let u(c) = -7518*c**2. Give f(u(v)).\nAnswer: 37590*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(304) + 2 + sqrt(304))**2.\nAnswer: 32*sqrt(19) + 1217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.981 + -2.981. Sort u, -1, -18.\nAnswer: -18, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 183\/244 - 2\/((-16)\/(-30)). What is the hundreds digit of -7*i\/7 + 294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52)\/(-1014) + 112\/(-23478).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirty-one fifths of a micrometer?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2415695761?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**3 - 20*u + 20 + 21*u + 0*u**3 + 0*u to the form d + y*u + c*u**3 + s*u**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.16 - -1.11. Let w = p - -0.05. Is -1 at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - ((82 - 103) + (-11 - 5 - 4))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -342, -1045, -2226, -3891, -6046?\n\"Answer: -s**3 - 233*s**2 + 3*s - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 11*y**3 - y**2 - y + 18. Let m(x) = 14*x**3 - 2*x**2 + 21. Let z(q) = -4*m(q) + 5*w(q). Let j(a) = -2*a**2 + 3*a - 3. Give 5*j(d) + 3*z(d).\nAnswer: -3*d**3 - d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p**(-5)\/p)\/p)\/p**(-11))\/(((p\/p**22)\/p)\/(p*p\/(p\/(p**(-3\/7)\/p)))))**(2\/7) assuming p is positive.\nAnswer: p**(372\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01660077861 rounded to 3 dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 46685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 5*m**2 + 2*m - 1. What are the prime factors of z(-3)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26365421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22975*p**2 + 45847*p**2 - 22868*p**2.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 + 2*s**2 - 6*s**2 - s)*(-2*s - 2 + 2) + 0*s**3 + s**3 - 2*s**3.\nAnswer: 3*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 1. Let o(c) = -7 - c**3 - 19*c + 31*c**2 - 21*c**2 - 21*c**2. Let p be o(-9). Let b(v) = 2*v - 14. What is p*b(x) + 28*j(x)?\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -114 divided by 38\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4*l**3 + 2*l**2 - 3*l + 4. Suppose 4*c - 8 = -3*d, -6 = -3*c - 0*c - 2*d. Let w(o) = 3*o**3 - o**2 + 2*o - 3. What is c*a(j) + 3*w(j)?\nAnswer: j**3 + j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (44\/(-8))\/((-1)\/2). Let b be 4\/(16\/k) + -3. Let f = 0.6096 + 1.3904. What is the biggest value in b, f, 5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/21 - 4\/6. Suppose 2*h = -s + 30, w = 3*s - 4 - 2. Is h a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14915 = 40*i - 17725. Calculate the remainder when i is divided by 256.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24758450.699999945 + 24758451.2. Let u = 0.5 - c. What is u rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -3, 13, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -17*f**4 - 91*f**3 + 5*f**2 + 100*f + 21. Let v(k) = 9*k**4 + 45*k**3 - 3*k**2 - 49*k - 10. Let o(m) = 4*i(m) + 9*v(m). Determine q so that o(q) = 0.\nAnswer: -3, -1, -2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -4*s**3 - 8949*s**2 - 2765397*s - 690790 = 0.\nAnswer: -1867, -370, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**2\/13 - 5736*n\/13 - 4112712\/13 = 0. What is n?\nAnswer: -1434","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 14960.9 tonnes?\nAnswer: 14960900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.01 - 0. Let l = z + -0.31. Let f = 3.4 - 4.4. Which is the nearest to 1? (a) f (b) 0 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9721\/21 - 463. What is the third biggest value in -1\/4, -0.3, y?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = 2*j + 3*y, 101*j - 104*j = -3*y + 24 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20489746 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(4\/72*4). Which is smaller: t or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 28*q - 28. Let z be c(10). Suppose f + 56 = y, 5*f - 3*y = -18 - z. Let b be 37\/(-3) + (-17)\/f. Put -5, b, 5 in descending order.\nAnswer: 5, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0, -4.36, 1\/11, -5, 0.5, -124, 1\/3?\nAnswer: -124","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = 3*m - 24*m. Suppose 3*n = 8*n + 5. Let y = n + m. Which is bigger: y or 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 118 and 110 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 131, 742, 1759, 3176, 4987, 7186, 9767?\nAnswer: 12724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 1. Suppose b*s - 42 = 6. What is the highest common factor of s and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8096794 litres in millilitres?\nAnswer: 809.6794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*i = 92. Suppose 0 = 3*f + 5*n - 19, 10*f + 4*n = 5*f + i. Is (-2 + f)\/((-1)\/(-67)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84951*t + 84873*t - 169850*t.\nAnswer: -26*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + 29*s - 9. Determine l(-27).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37 + -28. Let b be (-5)\/(-3) - (-40)\/(-15). What is the nearest to -4 in u, 5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01757 rounded to three decimal places?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhyyyyytdkehe. What is prob of sequence kehd?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6377 - 247 = -8*z. What are the prime factors of (z\/6)\/(((-6)\/4)\/(-3))?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 207 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60 + (-67 - 6) + 37?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 + ((-2)\/2 - 1). Does 12 divide (-18)\/((j\/(-84))\/((-1)\/2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1710789, -1710773, -1710745, -1710705, -1710653, -1710589?\n\"Answer: 6*h**2 - 2*h - 1710793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t**2 - 940*t - 32038. What is l(-31)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 283118407710\nAnswer: -283118407710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 165*i**2 + 7*i - 360*i**2 + 7 + 193*i**2. Calculate p(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 100792*g**2 + 27171*g wrt g?\nAnswer: 201584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 4, -4, 4314 in descending order.\nAnswer: 4314, 5, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*m - 4 + 2 + 2 - 11*m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 1\/6, 2\/259?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 3:32 PM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2088, 2094, 2102, 2112, 2124, 2138, 2154?\nAnswer: 2172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 48, -11 in increasing order.\nAnswer: -11, 4, 5, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/3053432 and 1\/5343506.\nAnswer: 21374024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (70 - 107) + 126 - 90\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k + 3. Let d be a(3). Let j = 13 - 11. Suppose d = -y + j - 3. Is -1 not equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 10:39 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.021832 and -3.9.\nAnswer: -3.921832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10058*n + 10070*n - 59112. Is 8 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 565*q**2 - 3*q + 101. Let o(p) = 565*p**2 - 5*p + 102. Let x(f) = 6*h(f) - 5*o(f). What is the second derivative of x(y) wrt y?\nAnswer: 1130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1420 + -1424. Let a(k) = 2*k - 15. Let v be a(6). Put z, v, 50 in decreasing order.\nAnswer: 50, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of t**5\/30 + t**4\/4 + 5*t**3\/6 - t**2. What is the remainder when c(-6) is divided by ((-14)\/6)\/(24\/(-144))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 8*b**2 + 8*b + 7. Let a be 6\/(-9)*(-42)\/(-4). Let m be j(a). Suppose -4*d + 0*v + 92 = -3*v, m = 2*v + 8. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 323157615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3 - 13848*l**2 + 83196*l - 124848.\nAnswer: -4*(l - 3)**2*(l + 3468)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7968, 7971, 7974, 7977?\n\"Answer: 3*c + 7965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/4 and (-1)\/10*234\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -923*p + 920*p + 480 = 0. Calculate the highest common factor of p and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y + 4. Give i(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of x**6\/120 + 4*x**5\/15 + x**4\/3 + 2*x**3\/3 + 5*x**2. Is z(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/7 - 7) + -23 + 16?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4488 and 268664583?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4777, 7394, 10011?\n\"Answer: 2617*i + 2160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.8 + 1.799695. Round t to 5 decimal places.\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-6 + 10 + -3 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7314 + 7375. Which is smaller: o or 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 274*j**3 + 158692*j**2 - 90172167*j wrt j.\nAnswer: 1644*j + 317384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72, 71, 70, 69, 68?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -7 + (-2 - (-8 - -2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000011287997 rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5*c + 828 = -3318, 0 = c + 2. What are the prime factors of z?\nAnswer: 2, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 209 = g - 203, 50 = p + 5*g. Let l = 10 - 4. Which is the second biggest value? (a) p (b) l (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -213*r - 25. Let a be (-92)\/16 - (-3)\/4. Let t be z(a). Suppose -10*h = -2*h - t. List the prime factors of h.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 22\/66*36\/(-7). Is -1 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*q + 2*k - 0, -2*k = -4. Suppose -32 = 4*o - 6*o. Calculate the lowest common multiple of q and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 6:02 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -13 + -6 + 3 + 6\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*y + 2*y - 3*r, 0 = -2*y - 3*r - 8. Suppose 4*f - n = n + 16, -10 = 5*n. Solve f*m - 2 = y*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*h + 5 = z, -2*h = 3*z + 5. Let i(w) = 12*w - 3. Suppose -v - 11 = -3*k, -v = -4*k - 4*v - 7. Let u be i(k). Solve 4 = -h*g - u for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from mlmmlmmmlwmlmlwlmm?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/4 + 74613*x\/4.\nAnswer: x*(x + 74613)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -22552, 5, 247, 0 in descending order.\nAnswer: 247, 5, 0, -22552","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2221.777ng to grams.\nAnswer: 0.000002221777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g + 62. Calculate the remainder when 89 is divided by v(12).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 504281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2 + 2698*u\/5 - 5316\/5.\nAnswer: -2*(u - 2)*(10*u - 1329)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -55*g + 44*g + 22 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2275 - -2268.636. What is h rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 600 - 590 - (-16 - (0 + -2))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24290175 and 740272?\nAnswer: 388642800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 7*d - 166 = 0. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -7*u + 23 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (4229 - 2242 + 10426*n - 1988)*(2 - 2 - n) in the form i*n + b + c*n**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 12*m**2 - 2*m + 2. Let j(z) be the second derivative of z**4\/2 - z**3\/6 + z**2\/2 + 167*z. Give 9*j(p) - 4*t(p).\nAnswer: 6*p**2 - p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4653.\nAnswer: 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k\/k**(-8))\/k)\/k**3)\/(k*k\/((k*k**(2\/7))\/k)*k)**(-7\/4) assuming k is positive.\nAnswer: k**(43\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -111*b**2. Let t(n) be the second derivative of n**4\/3 - 317*n. What is t(h(v))?\nAnswer: 49284*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/(-6))\/(884\/816))\/(8\/(-4))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 100.1 times 0.1\nAnswer: 10.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eighty-five quarters of a microgram?\nAnswer: 21250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (24\/40)\/(5\/25)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 264559100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*y**3 + 132*y**2 - 141*y + 30.\nAnswer: -3*(y - 5)*(y - 1)*(7*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 2. Let v be (0 - b)*-1*-3. Sort v, -4, 2.\nAnswer: -4, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 6 = -4*m. Let o = -3 + m. Factor 0 + 2*f**4 + o*f + 6\/5*f**3 - 4\/5*f**2.\nAnswer: 2*f**2*(f + 1)*(5*f - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jqjddqndzjnxn. Give prob of sequence zjjq.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 123986 and 42.\nAnswer: 2603706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-6)\/24)\/((-3)\/372)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(13) + -1*(sqrt(13) + 0)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 583785989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 337432280?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 4*y - 97. Let u be x(-23). Let l = u - 1361\/4. Let t be (-2 - -4) + 13\/(-4). What is the closest to l in t, -2\/5, 0.1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(85) + (1*sqrt(85) - sqrt(85)) - sqrt(85)) - sqrt(85))*-3)\/(3*(6*sqrt(125) + sqrt(5))).\nAnswer: sqrt(17)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (9 + (-6 - (2 + (-10 - -6))))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -55 - 2*s + s**3 - 3*s - 6*s - 9*s - 8*s**2. Is y(22) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 10:38 AM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(24\/2)*4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 - 2100*j - 367500.\nAnswer: -3*(j + 350)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 10 + 36 + 8*c - 46. Let u(o) be the third derivative of -o**6\/72 - o**3\/3 - o**2. Let a(b) be the first derivative of u(b). Calculate a(j(q)).\nAnswer: -320*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1265740 and 185.\nAnswer: 46832380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8239, -32935, -74097, -131725, -205819?\n\"Answer: -8233*i**2 + 3*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.69 in -0.2, -157.4, 21?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**(1\/6)*u*u**(-3)*u*u\/(u**(-4)\/u)*u**6*(u**(-3\/10)*u)\/(u*u**(-2\/5)\/u)*u**(-2\/3)\/u**2 assuming u is positive.\nAnswer: u**(154\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001901614 rounded to five dps?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2\/8 - 129*w\/8 + 33\/2.\nAnswer: -3*(w - 1)*(w + 44)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 97*a + 4482. Let w be p(-45). Calculate the highest common factor of 2847 and w.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 - 3 + 6)*(-9*q**2 + 18*q**2 + 104894*q + 13 - 104899*q) to the form f*q + h*q**2 + u and give f.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -57309 (b) -2\/7 (c) 8.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6777 - 3700. Let t = 1377 - d. Round t to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 162, 240, 316, 390, 462, 532?\nAnswer: 600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 17857, 71451, 160777, 285835, 446625, 643147?\n\"Answer: 17866*t**2 - 4*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 + 25. Let d(v) = 4*v - x*v + 0*v - v - v**3. What is the remainder when 38 is divided by d(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + 8*g. Let f(z) be the second derivative of 7\/2*z**2 - z + 1\/6*z**3 + g. Give f(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/12)\/((-5)\/(-1780)). Let u = t - 86. Let 35*q - 59 - 48 + 5*q**u + 92 - 25*q**2 = 0. Calculate q.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 3*z + 10. Let r(b) be the first derivative of b**3\/3 - b + 1. Let x = -12 + 30. Let n(c) = -8*c**2 - c + 8. Determine x*r(f) + z*n(f).\nAnswer: 2*f**2 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y = 6*y + 10. Which is the second smallest value? (a) -0.5 (b) -2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -65.13 - -65. Which is the closest to 0.6? (a) h (b) 0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (197*s + 1085*s + 266*s)*(2*s + 0 + 0).\nAnswer: 3096*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 14*i**2. Let r(n) = 81*n + 990428 - 990428. What is r(d(v))?\nAnswer: 1134*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = m - 12. Let g(j) = j**3 - 6*j**2 - 5*j - 7. List the prime factors of g(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37315 times -25?\nAnswer: -932875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 14 = -4*u, 4*b + 41 = -2*u + 51 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 459.78 and 0.026?\nAnswer: 11.95428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, z: 1}. What is prob of picking 2 d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 5 - 3 - 12*f + 0 - 1. What is v(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-7)*o)\/(o*o**(4\/7))*(o*o**(-1\/2)*o)**(-47) assuming o is positive.\nAnswer: o**(-1093\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2098.4 + 2098. Which is the biggest value? (a) -382 (b) -3\/4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 + -20. Let g = -85\/4 + 20. Let i = 5831 - 5830.8. What is the fourth biggest value in 2, g, r, i?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 m when three letters picked without replacement from {k: 2, w: 2, f: 2, m: 3, g: 4}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*m - 5*a - 111, -2*a = -2. Is 15 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**5 + 175938*f**3 + 278819*f**2?\nAnswer: 60*f**2 + 1055628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 65, 43, 15, -19, -59, -105?\n\"Answer: -3*q**2 - 13*q + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 2)\/(205\/25 - 8). Suppose -f*j = 13 - 43. Solve -j*o = 2*o - 20 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*24065.\nAnswer: 144390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*g + 0 - 3\/7*g**2 + 1\/7*g**3.\nAnswer: g**2*(g - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**4 + 2*q**3 + 40*q**2.\nAnswer: -2*q**2*(q - 5)*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7816 and 70871580?\nAnswer: 141743160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 42 - 6*n**3 - 42 + (3*n - 1 + 1)*(0*n + 0*n - n**2).\nAnswer: -9*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*(sqrt(156) + -2*sqrt(156) + sqrt(156)) + sqrt(156))*-3)\/(sqrt(12)*-2*-6 + sqrt(48)\/sqrt(4)*-5)*-5)**2.\nAnswer: 2925\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w**3 - 26*w**2 + 6*w + 19. Let c be d(-7). Let m = c + 207. What is the fourth biggest value in -2, 1\/2, m, -1\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 79 from 244098276201.\nAnswer: 244098276122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = u - 4*u. Let g(y) = -1 + 4*y**2 + 3 - u + 2*y. Let s = -19 + 20. Determine g(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s - 11 + 12 + 25*s**2 - 2*s to x*s + p + i*s**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/5 - 43106872*r\/5 + 464550603406096\/5.\nAnswer: (r - 21553436)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssssssqsssfsqqsf. Give prob of picking 2 f.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -19*x + 1. Let q be l(-1). Let s = q - 8. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1221 + 4?\nAnswer: -1213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2098 and 16784?\nAnswer: 16784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 52*z - 275*z + 29*z + 3 in the form m + a*z and give a.\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.685 - -1.6. Let d = c - -0.084999749. What is d rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*m + 58 = 2*m, m + 31 = -i. Let a(w) = -4*w**2 + w + 117. Let d be a(6). Let r = d - i. Solve -3*x + 24 = -3*z, r*x - 12 = z + 8 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1383, 2777, 4171, 5565?\nAnswer: 6959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -543093033*p**2 + 263*p + 97870?\nAnswer: -1086186066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of 1\/135*j**5 - 8\/27*j**3 + 1\/27*j**4 + 0 + j - 137*j**2 - 1\/540*j**6. Find s such that z(s) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 - 13. Let v be (-8)\/3 + 6\/y. Is 8 a factor of (-3)\/v*28\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of 5*r + 0 + 0*r**2 + 0*r**3 - 1\/6*r**4. Let s(p) = 10*p**2. What is s(d(k))?\nAnswer: 40*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(66) - 4*sqrt(66))*1)\/sqrt(6)*-1)**2 + -2.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1796*j**4 + 11*j**3 + 1519276*j**2 wrt j?\nAnswer: 43104*j + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.018 and -22209?\nAnswer: -399.762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, q: 1, a: 1, p: 6, e: 8}. What is prob of picking 1 a and 2 h?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5)*h*h\/h**1)**(4\/9) assuming h is positive.\nAnswer: h**(-16\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87390 is divided by 87382?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-2 + 3))*281\/2529\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -72045*o**2 + 373*o + 40217818 with respect to o.\nAnswer: -144090*o + 373","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.68 (b) 0.03682 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 8*j**2 + 5*j - 14. Let a be d(-7). Let t = a + 33. Does 13 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 7368*j + 125254. Calculate i(-17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -12, -26, -58, -114, -200?\nAnswer: -322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -x**2\/2 + 32*x - 1503. Let l(f) = 4*f. Give l(c(s)).\nAnswer: -4*s + 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1988841 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + 2 + -1*(2 + 0 + sqrt(1377)))**2.\nAnswer: -4131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.06 + -0.34. Let l = 29 + -27. Let m = w + l. Round m to one dp.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -0.79442.\nAnswer: 0.317768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*n - 34*n. Suppose 5*w + 5*s + 21 + 4 = n, 0 = -5*w - s - 5. Is w at least as big as 1\/423?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75633338?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 241452 (base 8) in base 2?\nAnswer: 10100001100101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 19*v**2 - 2. Calculate m(-19).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -16673636.578 and 0.3.\nAnswer: -16673636.278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*t - 36 = 15*t - 4*a, -t + a = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9747 a multiple of 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l + 5*l + 14*l**3 - 5*l**2 - 13*l**3 - 4. Let t be i(5). Let u = -13 + t. Solve u = 2*g + 7 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.07 and -0.77588.\nAnswer: 0.0543116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 - 2 = -2*k. Let q = k - -28. Is 9 a factor of q*-2*(-1 - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -1370?\nAnswer: -136a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 5*w - 6 + 17, -2*o - 3*w + 3 = 0. Suppose -17 = -o*d - 5. Do d and 6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -4*g**2 - 50*g + 277. Let c be q(-16). What is the greatest common divisor of 1 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 5. What is the third derivative of 4*y**3 - 2*y**l + 0*y**2 + 3*y**2 - 6*y**3 wrt y?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = b + 5*q, 3*q = -5*b - 0*b - 340. Let y = b - -145. Suppose 3*p = 3*c - 39, -2*p + y = 5*c + 2*p. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*b - 3*b - 524. Suppose 4*m - 2*f - b = -f, 0 = -5*m - 3*f + 151. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2691997\/(-220) - -12 - (-3)\/4)*25. What is x rounded to the nearest 10000?\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 7*y**3 + 2*y**2 + 10*y - 15. Let a be b(2). Suppose -a = -22*x - 113. Put x, 2, 4, 1 in decreasing order.\nAnswer: 4, 2, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w - 15. What is y(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -b234 (base 15) in base 5?\nAnswer: -2200444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 751004?\nAnswer: 2, 187751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, o: 4, x: 2, g: 1, w: 2}. Give prob of picking 1 q and 1 w.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-15)\/(-4))\/((-5)\/(-20)). Suppose x = 3*b + 3. Suppose 0 = -3*j + 5*y + 16, y + y + 12 = b*j. Are 2\/3 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.0634 + 0.0634. Let l(k) = k**3 + 2*k**2 - 3*k - 3. Let y be l(-2). Let g be y + 2 - (-2 + 2). Sort g, s, -5.\nAnswer: -5, s, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 + 117 = -l. What is the third smallest value in -1\/2, l, 11.6?\nAnswer: 11.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*v**3 + 0*v**3 + 3*v**3)*(822*v + 836*v + 2110 - 1660*v) to the form k*v + z*v**2 + j*v**4 + h*v**3 + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*b - 93. Calculate the common denominator of 14\/55 and (b\/48)\/(11\/92).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*f = 31*f + 56. Suppose f*k - 1136 = -128. Is k a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**3 - 50 + 50 + (-j + 2 - 2)*(8 - 8 - j**2).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*g**5 + 303930*g**3 - 438*g**2 + 19953*g?\nAnswer: -180*g**2 + 1823580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 799, -144, -1089, -2036, -2985?\n\"Answer: -w**2 - 940*w + 1740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of h**5\/10 - 7*h**4\/2 + 33*h**3 + 121*h**2 - 748*h. Find c, given that j(c) = 0.\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -333301 (base 4) to base 16\nAnswer: -ff1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3.869708+52472772\nAnswer: 52472768.130292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 25575966751 and -0.0424.\nAnswer: 25575966750.9576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1394965*w - 697319*w + 32 - 697483*w.\nAnswer: 163*w + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0054707801 rounded to 4 dps?\nAnswer: 0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2930, 2945, 2976, 3029, 3110, 3225, 3380?\nAnswer: 3581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.307175784 and 0.1.\nAnswer: -0.0307175784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 55*n**3 + 38*n**2 + 16 - 40*n**2 to y*n + h*n**3 + w + v*n**2 and give h.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -v**4\/4 - 30*v**2. Let a(t) = t. Determine o(a(r)).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 857137461?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**3 - 2*j**2 + j + 2. Let t be b(-2). Let m = t - -27. Suppose c = -m*c + 2036. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -7*m**2 + 1\/360*m**6 + 0 + 0*m - 5\/72*m**4 + 1\/180*m**5 + 1\/6*m**3. Suppose o(h) = 0. Calculate h.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5338841*a**4 + 25*a**3 + 169473352*a**2 wrt a?\nAnswer: 128132184*a + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -i**8\/840 + i**7\/105 - i**6\/45 - i**3\/3 - 2*i**2 + 4. Let h(w) be the third derivative of p(w). Let h(s) = 0. What is s?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qzmz. Give prob of sequence zz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, -170, -1.03, 3, 14?\nAnswer: -170","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188181*r + 188156*r - 950 = 0 for r.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0089 to four dps.\nAnswer: 0.0089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12573 - 4037 + 18206)*(-h**2 + 3*h - 3*h) + (-h - 5*h + 4*h)*(2*h - h - 2*h) + 2*h**2 - 4*h**2 + h**2.\nAnswer: -26741*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0781 and 1081.\nAnswer: -84.4261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 261 and 6351.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 473115 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*o + 158 - 158 + (3 - o - 3)*(-1 + 2 + 0) + (-1 - 2*o + 1)*(3 - 1 - 1) in the form n + d*o and give d.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 5*d - 6*d + 2116, -4*d - 2*g = -8446. List the prime factors of d.\nAnswer: 2, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of 4603*t**7\/210 + t**4\/6 - 157*t**3\/6 + 2*t**2 - t - 22. What is the second derivative of q(l) wrt l?\nAnswer: 55236*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188030822 a multiple of 457?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2912 bigger than 154350\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that u**5 - 20*u**4 - 1599*u**3 - 17386*u**2 - 32608*u + 147840 = 0.\nAnswer: -21, -8, 2, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3252977, 3252987, 3253015, 3253067, 3253149, 3253267?\nAnswer: 3253427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 70*j - 66*j + 15 + 132*j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0401 + 0.0305. Let o = -6.07 - -6. Let w = o + k. What is w rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.1 and -131.8.\nAnswer: -408.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**5 - 5*q**3 + 5*q**3 + 3*q**5 + 2*q**5 - 6*q**5 - 2*q**5 + 5*q**5 - 2*q**5 + (4*q**5 + q**5 - 6*q**5)*(-2 + 2 + 2) + 0*q**5 + 3*q**5 - 6*q**5.\nAnswer: -2*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4)\/24*(-165)\/6 and 51\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 633*u - 638*u = -2*t + 5, -7*t - 38 = u for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*l*t**3 + 29*l*t + l - 236145*t**3 + 142*t**2 wrt t?\nAnswer: -12*l - 1416870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-0.4254.\nAnswer: 2.5524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 6:59 AM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(60) - sqrt(2160))*-3 - sqrt(60)))\/(sqrt(48)\/(sqrt(24)\/(sqrt(12)\/sqrt(2)))).\nAnswer: 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, -5910, 5\/2 in increasing order.\nAnswer: -5910, -5, -3, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/4334736 and -131\/530784?\nAnswer: 26008416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/10 - (-69)\/(-15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 778613 is divided by 1483?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21302388 divided by 3.\nAnswer: -7100796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*f - 19. Suppose -5 + 4 = -2*p + 3*r, 13 = f*p + 3*r. Solve -20 - 9*a**p + 12*a + 29*a**2 - 16*a + 4*a**3 = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -1. Let r(d) = -d**3 + d**2 - d. Let o be r(1). What is the nearest to o in 4, c, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 118.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 9:44 PM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*n + n - 182 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a*t*u**3 - 4313*a*t*u**2 - 2*a*u**3 + 3*a*u - 2*t*u + 2*t - 23 wrt u.\nAnswer: -6*a*t*u - 8626*a*t - 12*a*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 518*x = 17875 + 13205 for x.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 9*n + 22. Let h(f) = 5*f + 12. Let x(s) = -11*h(s) + 6*t(s). Let p(k) = -2*k**2 + 7*k + 1. Give p(c) - x(c).\nAnswer: -2*c**2 + 8*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 806.00000834 - 806. Round o to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19153.\nAnswer: 107, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -127 + 135. Do 8 and v have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 0. Suppose -5*c - 22 = -b, p = 3*b + 2*c + 2 - 0. Suppose 4*d + 90 = 5*r, -2*r - 4 = -3*r - b*d. Solve x = -l - 3*l + r, 2*l = -x + 8 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.28 - -40.28. Which is the second biggest value? (a) -2\/13 (b) d (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 (base 14) in base 4?\nAnswer: 1222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -121414 (base 5) to base 4\nAnswer: -1020001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 8*g = 11*g + 14 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(8\/12) - 8. Let q be (-6 - -7) + (o - 1). What is the hundreds digit of (-628)\/q - ((-56)\/20)\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.23 in -0.0507, 3\/2, 4, 1?\nAnswer: -0.0507","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*3\/((-18)\/10). Let y = -3 - n. Factor 2*z - 3*z**4 + z**4 - z**2 + 3*z**2 - y*z**3.\nAnswer: -2*z*(z - 1)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ze when two letters picked without replacement from {t: 1, z: 2, h: 4, o: 1, e: 4, g: 6}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 679 is divided by 665?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - 3*b - 412. Let i be u(0). Let s be 0 - (5 - 0) - i. Let t = s - 204. List the prime factors of t.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 11 + 1)*(-r + r**3 + r).\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -1) + 2 + 0. Solve 2 = -0*z - p*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-15) - (-882)\/(-90). Put l, 0.05, 3 in descending order.\nAnswer: 3, 0.05, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1613 is divided by 210.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2))\/((-81)\/(-162))*1*4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u**2 + 2*u**2 + u**2)*(-6*u + 6*u + 19*u**2) to the form h*u**4 + d*u**2 + q*u + v + o*u**3 and give h.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 282, 1110, 2490, 4422, 6906?\nAnswer: 9942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -100811 divided by 24?\nAnswer: -100811\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*i**3 + 12*i**3 + 24*i**3 + 11*i**3 + 10*i**3 + 4*i**3.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vcvcvcv. What is prob of picking 2 v and 2 c?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1951*u + 0 - 2 + 2*u**2 + 560*u)*(5 - 5 + 4) to the form f*u**2 + g + x*u and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 o, 1 v, and 1 i when four letters picked without replacement from gvviqqggvog?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -96, -275, -544, -909, -1376, -1951, -2640, -3449?\nAnswer: -4384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6495 by -1.\nAnswer: -6495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -13408*g**3 + 2*g**2 + 5*g + 6. What is the thousands digit of i(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-62 - -58) + 0 + -4 + (4 - 10)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**2 - 9*f - 2. Let a be j(5). Suppose -a*l = 3, -2*u + 12785 = -5*l + 3348. What are the prime factors of u\/45 - 2\/(-10)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9614.909 centuries?\nAnswer: 96149.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 30 = -5*r - 3*j, 0 = -r - 4*j + 6. Let p = -2 + r. Let o(u) = 40*u - 6. Let q be o(p). What is the highest common divisor of 14 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15\/2699 + -31859\/5246856. Calculate the common denominator of -83\/312 and t.\nAnswer: 25272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -614 - -554. Is f greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3 + 7 + 2 + k. Let l be f(-3). Suppose -l*c + 1 = -2*c. What is the least common multiple of c and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257750*k = -257719*k - 651 for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -697828, -1395646, -2093452, -2791240, -3489004, -4186738?\nAnswer: -4884436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/6 - 3\/(-9). Let d = 8 + n. What is the remainder when 35 is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -231, -871, -2535, -5733, -10975, -18771, -29631?\n\"Answer: -85*b**3 - 2*b**2 - 39*b - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 5*s + s - 18438 = 0. Calculate the greatest common factor of s and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18898*j = -18465*j + 6928 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44215*r**3 - r + 11291.\nAnswer: 265290*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -60 - -60.4. Let m = -0.4 - -0.7. Which is the nearest to m? (a) t (b) -1\/2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-74)\/(-10))\/(2\/(130\/13)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/23))**(-5\/3)\/(b**(-2\/107)*b\/(b\/b**(-2))) assuming b is positive.\nAnswer: b**(15974\/7383)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*j - 5 = -d + 131*j, -25 = 5*d + 5*j for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 8734*t - 8737*t. Which is the biggest value? (a) t (b) 9 (c) 0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1684398629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.16 (b) -0.09 (c) -3\/2 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + (-1)\/(1\/(-2)). Let y be ((-2)\/4*c)\/(-2). Suppose y = -5*f + 132 + 318. What is the highest common factor of 18 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -923*a**2 - a - 66. Let h be q(6). What is h rounded to the nearest one thousand?\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3388, -6775, -10162, -13549, -16936, -20323?\nAnswer: -23710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*a = -6. Suppose 4*n - 43 = 29. Solve a*x = 5*y + n, x - 2 = -0*x - y for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of k**6\/480 + 67*k**5\/60 - 140*k**4\/3 + 2272*k**3\/3 - k**2 + 666*k. What is j in q(j) = 0?\nAnswer: -284, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -277, -579, -883, -1189, -1497, -1807, -2119?\nAnswer: -2433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.44298l to millilitres.\nAnswer: 35442.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q + 53 = 3*i - 24*q, -2*q = -5*i + 103. Solve 0*n - 189 = i*n for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-9)\/(-27))\/(2\/24). Sort 0, t, 2, 3.\nAnswer: 0, 2, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**4 - l**4 - 3*l**4 + 4*l**4 - l**4 - 2*l**4 + (0*l**2 - 2*l**2 + l**2)*(5*l**2 + 5*l**2 - 5*l**2))*(4*l - 5*l + 0*l).\nAnswer: 9*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(500) + 1 + (sqrt(75)\/sqrt(3))\/sqrt(5) - sqrt(15)\/(sqrt(21)\/(-3*sqrt(7))))*-1)**2.\nAnswer: 112*sqrt(5) + 3924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 416975.83 rounded to the nearest 10000?\nAnswer: 420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/56)\/((-1456)\/2940 - 24\/(-60))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4*l - 3*r + 20, 20 = 5*l - 5*r. Suppose l*y + 1 - 37 = 0. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-3 + (sqrt(1377) + 1 - (sqrt(612) + -1)) + (sqrt(68)\/sqrt(4)*4 - sqrt(17)) + sqrt(816)\/sqrt(3) + -2))**2.\nAnswer: -240*sqrt(17) + 6836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 12:57 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 3*x - 32, 3*f + 8 = 31*x - 26*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 697*b**4*o - 3*b**2*o - 2*b**2 - 2*o wrt b?\nAnswer: 16728*b*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j - 1. Suppose 4*x = 2*c, 3*c + 3*x + 6 = -3. Let d be 45\/(-6) - (-1)\/c. What is the tens digit of l(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -74ed - -a?\nAnswer: -74e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15498 is divided by 857.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 6:38 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -5, -20, -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 2*y - 1. Let d(s) = 5*s + 6. Let q be d(-2). What is the least common multiple of 7 and p(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1888, 7497, 16832, 29881, 46632, 67073?\n\"Answer: -2*g**3 + 1875*g**2 - 2*g + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q + 20*q - 5*q + (5 - 5 + 2)*(-2*q + 0*q + 4*q).\nAnswer: 19*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1436309652?\nAnswer: 2, 3, 97, 1061, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 779026*l + 504135 with respect to l.\nAnswer: 779026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**36\/(o*o**(-10\/11)) assuming o is positive.\nAnswer: o**(395\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 13871?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 89889716 a multiple of 456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*h = 5*h - 52. Solve -3*p - 2*z - 8 = -0*z, 2*z = h*p - 8 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 363523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-7) - (-76)\/(-14). Let l = -6 - n. Suppose l = 4*d - 12, -3*p - d + 61 = -p. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3004310, -3004301, -3004286, -3004265, -3004238, -3004205?\n\"Answer: 3*k**2 - 3004313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-348270)\/(-22325)*(-4)\/6*-5?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 39*x**2 - 2*x - 1. Suppose 0*v - 3*f + 5 = -4*v, 5*v - 5*f + 10 = 0. Let l be 2\/(-3) + v\/(-3). Is d(l) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7574, -9032, -10498, -11978, -13478?\nAnswer: -15004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 6 = 2*j, d - 5 = -4*j + j. Let r be 3\/((-3)\/(-3467))*j. Let k = -103913\/10 + r. What is the common denominator of -38\/3 and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**3 + 56*x**2 + 1776*x - 49750. Give i(28).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from nnnt.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*i**2 - 2*i + 4*i**2 - i**2 + (2 + 3*i - 2)*(0*i + i + i).\nAnswer: 4*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d = -6*d + g - 34, -5*d + 5*g + 40 = 0. Suppose -4*q = 4*i - 336, -5*q + 72 = d*i - 6*i. What is the remainder when 165 is divided by i?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.8108321 years?\nAnswer: 0.008108321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*l - 28 + 244 = 0 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3388 in 31, -4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(3 - 80\/28). Let n(t) = -t + 9. Let r be n(j). Suppose -4*s = -r*s - 6. What is the remainder when 6 is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kjk when three letters picked without replacement from wwekejwikiliiiwji.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 115493943, 230987883, 346481823, 461975763, 577469703, 692963643?\nAnswer: 808457583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/4 - 6\/(-2). Let i be k + 0 + (1 - -1). Suppose -3*q - q - 47 = -5*l, -i*q - 41 = -5*l. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-7)\/182)\/(7\/28).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*z + 5*z - 2*z)*(3 - 3 - 2*z**3) + 3*z**4 - z**4 - 4*z**4 + 5 - 4*z**4 - 5.\nAnswer: -36*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -122121?\nAnswer: 122201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -93 - -157. Suppose c = 5*i + 4. Let m be 2\/(-3) - (-170)\/30. Solve -i = 5*s + a, m*s + 2*a + 9 = -0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 3*d - 5*x - 34 = 0, -2*x - 19 = -3*d. Solve 1 = -2*b - d for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 12:18 AM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of l**2\/2 + 25*l - 2836. Suppose j = 5*q - 11, 2*q - 9 = 3*j + 11. Is w(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7025886 divided by 5?\nAnswer: 7025886\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -5*g**2 - 2*g - 5. Let x(r) = 11*r**2 + 5*r + 11. Determine 5*n(f) + 2*x(f).\nAnswer: -3*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 43 = 3*f - 11, -f = -2*b - 4. Let o be (-8)\/f - 2*1. Solve 3*v - v + 10 = o for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 136 + -342?\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 54 + 56 - 167*z + 56 - 184 as d + f*z and give f.\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 14 = -0*w. Let d = -4 + w. Let t(j) = -1. Let r(v) = -2*v - 6. Let h(g) = -r(g) + 4*t(g). Determine h(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4 - 172*r - 5446025*r**3 + 2397*r**4 + 5446025*r**3 wrt r.\nAnswer: 28764*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1350427 is divided by 19020.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 0.4, -3, 3\/23, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3451 is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.08 (b) -0.4 (c) -0.01615\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 125 - 115. What is the lowest common multiple of 4 and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**(-38)))**(-20) assuming j is positive.\nAnswer: j**(-760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 354 - 352. Let j(i) = i**3 + i**2 - 7*i - 7. Let m be j(-3). Put u, 1, m in ascending order.\nAnswer: m, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 14990.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w - 4. Let g be s(6). Let t be 0 + g - 6\/(-2). Suppose -5*b + 102 = t. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 1765 = o, -761 - 998 = -o - 2*i. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 12 = -2*d, -5*b = -d - 5 - 9. Suppose b*c = -43 + 119. Calculate the remainder when c is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**3 + 14*j**2 - 6*j - 39. Let s be x(-7). Calculate the highest common divisor of 51 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.41 * 0.2\nAnswer: -0.282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -29 divided by -6\nAnswer: 29\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/4 + (4 - (-8)\/(-2)). What is the closest to -3 in -3, l, 1, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/75463446 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -5.2. Let z = q + -5.1999916. Round z to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*t**4 + 24*t**3 - 57*t**2 + 147436*t wrt t.\nAnswer: -48*t**2 + 144*t - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1937010*s**2*u**3 - 7031309*s*u**3 - s*u wrt s.\nAnswer: -3874020*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r - 32*r + 60*r.\nAnswer: 26*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**4)**(-5\/8)*t**(3\/8)*t**2 assuming t is positive.\nAnswer: t**(-1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*x + 2*r + 155, -3*x = 5*r - 152 + 82 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -11, 4, 1, 3.75, 3\/4, -0.2, 0.0016?\nAnswer: 3.75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -184 + 3?\nAnswer: -181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 55570655 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**3 - 28*v**2 + 1. Let p be a(14). Let u(w) be the second derivative of w**4\/12 - w**3\/6 + 3*w. Let z be u(p). Solve -3*k + k + 10 = z for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 970 = -195*d - 1760 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2475 + 2229 = -8*u. Let k = u + 5817\/10. Find the common denominator of k and -28\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 12 + 27. Let y = 29 + -29. What is the nearest to 0 in y, 5, x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 3*h**5\/40 + 15*h**4\/8 + 25*h**3\/2 + 522*h. Factor y(b).\nAnswer: 3*b*(b + 5)*(b + 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*o - 24*o + 215*o = 4300 for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**3 - 4*f**2 + 7. Let z be c(5). Let b = 348 - z. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -23644, -94790, -213370, -379384, -592832, -853714, -1162030?\n\"Answer: -23717*d**2 + 5*d + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 108.\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14149843 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4063780 + 16051931829\/3950. Let m = -4\/395 - g. What is the common denominator of -31\/12 and m?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -a - 2*a. Let x(o) = -2*o**2 + 3*o + o - 4*o - a - 5*o. Suppose 0*f + 5*f = -20. Let k(q) = 3*q**2 + 6*q + 4. What is f*x(d) - 3*k(d)?\nAnswer: -d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 18, -24 in descending order.\nAnswer: 18, -19, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 4426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 162496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*r, -2*c - 2 = -2*r - r. Let l(f) = -f**2 - 8*f + 10. Let s be l(c). Solve -4*q - i - s = 0, -3*i = -3*q + 5*q + 11 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -168*c**2 + 2*c + 6. Let f(q) = -1178*q**2 + 14*q + 42. Determine -2*f(o) + 15*s(o).\nAnswer: -164*o**2 + 2*o + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72585 and 4839.\nAnswer: 72585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lhyehlllhelylhellel. Give prob of sequence hlee.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 13*j + 6. What is r(10)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1280 - -3127. What is the hundreds digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -504 = -6*t - 2*t. Let g = -52 + t. What is the remainder when 75 is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*h**3*i**2 - 222*h**3 - 2*h**2 + 495*i**4 - 3 wrt i?\nAnswer: -6*h**3*i + 1980*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1784, -3496, -5122, -6620, -7948, -9064, -9926, -10492?\n\"Answer: 7*r**3 + r**2 - 1764*r - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*r + 128, -3*d = -2*r - r - 432. Suppose -4*y - d = s, 0*y + 2*y + 56 = -4*s. Is 20*y\/(-33) + (-2)\/(-11) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 337 + -333. Solve o = -2*s - a, 2 + 6 = -4*s + 5*o for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46199 is divided by 525?\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -2*t - 4*r + 16, r - 5*r = -46*t - 96*t - 1294 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27329036 and 4543.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 164255711 rounded to the nearest one million?\nAnswer: 164000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -472794544 divided by -6?\nAnswer: 236397272\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -12, 3\/2, -2794, 185?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(19)*-3 + 2)*2)**2 - (sqrt(152) + 3*(2*sqrt(152) - sqrt(152)))\/((2*sqrt(80) - sqrt(80))\/sqrt(10)).\nAnswer: -76*sqrt(19) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2120011 (base 3) to base 6\nAnswer: 12351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 156 = 4*d, -5 = -d - 0. Suppose 0 = 2*s, -4*z = -2*z + 2*s - 8. What is the highest common factor of o and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a day in seconds?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1480 = 7*o - 2*o. Suppose -344 = -5*v + o. Suppose -5*l + v = -3*j, -4*j - j = l - 48. Is l a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-2) - ((-14)\/4 - 0). Suppose q - 3*q - 28 = -5*a, 3*a - 24 = d*q. Is 116 - -4*((-45)\/(-12) - a) a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/(-120)*9780\/(-163).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 + 26 - (-27 - (-3 - (-1 - 1)))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 198720 and 33534.\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 - 4*n + 16 + (5*n - 5*n - n)*(3 - 3 - 1) + (1 - 4 + 0)*(572 + 541 - 1152 + (-2 - 5 + 5)*(0 - 1 + 0))*(-3 + 3 + 2*n) as m*n + s and give m.\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 130065257?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 33212893?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -80038*j**3 + 26*j**2 - j + 21865354.\nAnswer: -240114*j**2 + 52*j - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 2*y + 2. Let j(d) = -8*d**2 + 19*d + 6. Determine -j(f) + 3*n(f).\nAnswer: 11*f**2 - 13*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 236.61 to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/4)\/((-6)\/8). Let t = a + 5. Suppose t*s + 39 = 6*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*n - 2*n - n)*(-12 + 65 + 65)*(-3 + 4 + 1).\nAnswer: 708*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 802807513?\nAnswer: 19, 59, 127, 5639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence os when two letters picked without replacement from sqkox?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 747159?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l. Let i(h) = -5 + 190*h + 149*h + 107*h + 5. What is i(f(x))?\nAnswer: -892*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 720586, 720579, 720568, 720553, 720534?\nAnswer: 720511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/22)\/(f\/((f*f\/(f*f\/f**(-2\/25))*f)\/f)) assuming f is positive.\nAnswer: f**(-619\/550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20\/(4 - 9) - 24\/(-4). Suppose y - 48 = -3*y. Suppose 16 = 4*i, -f*w = 2*w - 5*i + y. Calculate the smallest common multiple of w and 23.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -321589 at most -321589?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.74 - 112.74. Let v = -121.6 - y. Let z = v + 9.600051. What is z rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p**3 + 33 + 39 + 32 - 104.\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30397713 and 1044?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + -3 - (-10)\/2. Suppose n + 2*n + y*z = 5722, 4*z + 9500 = 5*n. Let r = n + -9104. What is r rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*u = -29*u - 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q - q**2 - 2*q)*(9*q**2 - q**2 - 2*q**2) + 41 + 5*q**3 - 3*q**3 + 12*q**4 - 10*q**4 in the form o*q**4 + u*q + p*q**3 + y + t*q**2 and give y.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4813997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001142 to 7 decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-15)\/6 + 3)\/(1\/(-22)). Let m(d) = -7*d - 6. Let u(z) = 20*z + 18. Let f(h) = t*m(h) - 4*u(h). What is f(-7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7 - -1)*(-4)\/24. Suppose u - 5 = -r. Is r at least as big as 8\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f**2 + 176*f + 58.\nAnswer: -4*f + 176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1301353*a**3 + 3*a**2 + 6232*a + 1?\nAnswer: -7808118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/28*(-60)\/(-9)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - (6 + 1))*-17. Suppose -10*y + 8*y + o = 0. List the prime factors of y.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 298145 to the nearest integer?\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -201*y**2 - 204*y**2 + 4572 - 4572 in the form l + x*y + d*y**2 and give d.\nAnswer: -405","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 76 - 68. Suppose 4*i + k = a*i - 928, 713 = 3*i - 5*k. Is i a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 19894866?\nAnswer: 139264062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -152514442?\nAnswer: -152514436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 12) to base 11.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -8*j - 16 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -42020.25 to the nearest one hundred.\nAnswer: -42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 307972856 and 3112.\nAnswer: 3112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 16*s**2 + 5*s + 4. Suppose -1 = 2*o + 3. Let h be t(o). Let y = h - 55. What is the lowest common multiple of y and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + -3 - (79 - 87).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30590 + 281*k**3 - 30579 + 1102*k**3.\nAnswer: 1383*k**3 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 24641681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 10 - 4 - 9*x - 13*x. Let r be a(-7). Suppose -s = -2*z - 40, -5*s + 2*z + r = -0*z. Does 12 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -397\/3 - -131. What is the nearest to 7 in 3, f, 5\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3121*r - 3116*r - 22*p - 46 = 0, 4*r + p = 74 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 72891 - 40799. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.06 - -6. Let c = -0.0625 - i. What is c rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4 - 2 + 27708053*u - 27708057*u. Let n(d) = 2*d**2 + 7*d - 7. Let y(b) = -b**2 - 2*b + 2. Let v(r) = 2*n(r) + 7*y(r). Give q(v(i)).\nAnswer: 12*i**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 11:16 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002 + 10?\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 906622 to the power of 1\/2, to the nearest integer?\nAnswer: 952","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**2. Let o(l) = 11270*l. What is o(x(i))?\nAnswer: -22540*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_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: b\"What is the ath term of 921, 915, 895, 855, 789, 691?\n\"Answer: -a**3 - a**2 + 4*a + 919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 25 - 4 = 0. Let r(f) be the first derivative of -f**4\/4 - 2*f**3 + 3*f**2\/2 - 11*f + 16. Calculate the remainder when 31 is divided by r(b).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**2 - 1 + 0*t**2 - 9*t**2 + (t - 5*t + 3*t)*(5*t - 4*t - 3*t).\nAnswer: -6*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d = -11*a - 3*d + 75, -345*d = 5*a - a - 340*d - 82 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 0 - ((8 + 77 - 46) + 67).\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -344 + 4?\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 + 13 - 9 - 40 + 2*k.\nAnswer: 2*k - 88","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 + 44. Suppose 39312*w - 1520 = 39274*w. What is the least common multiple of x and w?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2736 is divided by 1359?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 5*v**2 - 3*v + 21. Let c = 126 + -120. Calculate the lowest common multiple of 33 and s(c).\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7712 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x = 16*x - 15. Suppose x*p - 97 = -6*j + j, 4*p = 4*j - 84. What is the highest common factor of j and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15*-9*26\/(-195)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (8 - 6) + -3 + -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68468?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.06186 + 0.06186. What is the second biggest value in j, 0.2, 1\/4, 2, 9\/14?\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o. Let p(w) = w**2. Let q(r) be the second derivative of 0*r**3 + 5*r + 1\/4*r**4 + 0*r**2 + 0. Let l(v) = 20*p(v) - 5*q(v). What is l(m(s))?\nAnswer: 20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(3\/5))**(15\/8)*q\/(q*q**(6\/13))*q**(17\/4) assuming q is positive.\nAnswer: q**(511\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*o**3 - 137*o**3 + 31*o**3 + 31*o**3 + 32*o**3.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6035 and 1020?\nAnswer: 72420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15413 + -15455. Sort 1\/3, p, 0.5.\nAnswer: p, 1\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 5:10 PM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -4*g, g + 3*g - 16 = 4*i. Suppose 5*f - 721 = -4*c, -4*f - f - 353 = -g*c. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/21 + 1391126*c\/21 + 1589840\/3.\nAnswer: 2*(c + 8)*(c + 695555)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 10*o**3 + 7*o - 618. Let a(j) = -7*j**3 - 5*j + 411. Calculate 7*a(b) + 5*q(b).\nAnswer: b**3 - 213","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - -4. Suppose 3*d = z + 157, -p + 4 = -z. Suppose 0 = k - 2*w - 20, 7*k - 55 = 2*k - 5*w. Calculate the remainder when d is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.9 (b) -493 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8869890 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176729345.\nAnswer: 5, 13, 1447, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-2 + (-165)\/(-81)). Suppose 44*w - 35*w = k. Let d(j) = 3*j**2 + 3. What is d(w)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 4*l**2 - 7*l + 6. Let m be 2\/12 - 105\/(-18). What is the least common multiple of j(m) and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/(-6)*(-2)\/7. Which is the nearest to -1? (a) -4 (b) -1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -100011100101101110?\nAnswer: 100011100101110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(3\/(-6) - 0). Let m be 2\/(9\/(-6) + f). Suppose m*c - 3*r = 34, 5*c + r = -2 + 35. What is the greatest common factor of 35 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8976 is divided by 4484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 1. Let f(n) = -n - 10. Let y(m) = -2*f(m) - 22*z(m). Let o be y(2). What is the units digit of 0 + (-1)\/(o\/(-16))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 471119731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/16*4\/6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44100 and 26625?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 70719 - 43214. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {s: 3, l: 15}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4327 and 585945032?\nAnswer: 4327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-1)*s*s**(-2\/7))\/((s\/s**(-6))\/((s\/s**(2\/15))\/s)))**(-21))**(3\/31) assuming s is positive.\nAnswer: s**(2337\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a millimeter in nanometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(204)*5)\/(2*sqrt(3072)).\nAnswer: -5*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1)**(1\/21)*(l*l\/((l*l*l\/(l*l\/(l\/(l\/l**0)))*l*l)\/l))**(-43) assuming l is positive.\nAnswer: l**(1\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -7.689?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.8 (b) -5 (c) -1\/4 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -65*o - 480 + 25. Let c be (-1330)\/(-98) + -13 - (-2286)\/o. What is c rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + (-3 - -7) + 4\/(-1). Let f(c) = -c + 27. Let s(l) = 3. Let b(m) = p*f(m) - 18*s(m). Let n(j) = -241*j. Give b(n(z)).\nAnswer: 482*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (24920\/735 - 34)\/(2\/(-12)). Let l be (6\/14)\/(4\/14). What is the smallest value in l, 1\/8, d?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 b, and 1 y when three letters picked without replacement from mvvvvybvvvvvyvyvnvvb?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*r + 36*r - 18. Suppose r*g - 144 = -2*g. Calculate the common denominator of (-13)\/7*(-19 + g) and -121\/48.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16.57445 - -193.7\nAnswer: 210.27445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-15)*47\/13395*-38.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 7*z - 6. Let b be g(-3). Suppose -2*o = j + 3, -o + 0*j - 5*j = b. Is -4 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 4*p. Let s(a) = a + 11. Suppose 2*h = h - 5. Let v be s(h). Suppose 3*m = 9 + v. Determine c(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 7:00 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2823854 + 28293389\/10. Let m = n - 5480. Calculate the common denominator of 0 + -3 - (-40)\/18 and m.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13199113 is divided by 12953.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-8))\/(m\/(m**2\/m)*m)*(m*m**(2\/15))\/m**2 assuming m is positive.\nAnswer: m**(-133\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0128 in 5, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -553.2 in 0, -4, 3, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -3403200 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -b - b. Suppose 5*v - 40 = b. Suppose -99 = 2*m + 2*x - 243, 5*x = 0. Calculate the highest common divisor of v and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-87 + 87 + 3*h)*(4*h + 3*h - 4*h + (-2 - 2 + 5)*(1 - 1 - h))*(-4*h + h + 2*h).\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, -9, -4, -58, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6\/5 of a second?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**8\/v)\/v)\/v**(-1\/5) assuming v is positive.\nAnswer: v**(31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - 1 - 2631\/(-15). Suppose 304 - 1004 = 4*j. Let w = y + j. Which is the third smallest value? (a) w (b) -4\/9 (c) -0.5 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.19 + -2.39. What is the third biggest value in 0.08, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 36, 60, 92, 132?\nAnswer: 180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61188.\nAnswer: 2, 3, 5099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1472143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 65 = 1295. Suppose v*x - 207 = 204*x. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.35 + -0.05. Let h = 2.7 + -16.7. Let s = 15 + h. Which is the closest to s? (a) g (b) -3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6876 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**3\/7 - 45*n**2 - 633*n\/7 - 317\/7 = 0.\nAnswer: -1, 317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76420 (base 12) to base 14.\nAnswer: 40c76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*w**3 + 19*w + 12*w**2 - 30*w + 42*w wrt w.\nAnswer: -18*w + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 640521367?\nAnswer: 107, 911, 6571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 20122012211 (base 3) to base 2\nAnswer: 11111111001011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/2 + 10271*m - 36935041\/2.\nAnswer: -(m - 18551)*(m - 1991)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 220 + -247. Let y = -29 - l. Which is bigger: y or -26\/41?\nAnswer: -26\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + -1 + 7 + 12 + -4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.837005 centuries to decades.\nAnswer: 18.37005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h = -6*h + 814. Is h a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 3, -2.\nAnswer: -4, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -1 - (84 + 20 - 156)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 - -20.84. Let p = 13.1978 + -13.04. Let c = u + p. What is c rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of 2\/3*u**3 + 0*u**2 - 5 - u. What is the derivative of y(s) wrt s?\nAnswer: 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5916?\nAnswer: 2, 3, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**2 + u**2 + 0*u**2 - 3 - u**2 + 3 + (9*u + 2*u + 20*u)*(-u + 3*u - u) - 56*u**2 - 28*u**2 + 16*u**2.\nAnswer: -36*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -165 + 165 + 45*y**4 + 2*y wrt y?\nAnswer: 540*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 25.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -138 + 138 - 10*v**2 in the form o + r*v**2 + b*v and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 370 and 55.\nAnswer: 4070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 4 = -4*z - 0, -4*i + z = 6. Suppose -8 = -p + 3*g, 3*g = 2 - 11. Which is the closest to p? (a) 1 (b) 4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3*b + 4*b + 2*b. Let t(z) be the third derivative of -7*z**5\/60 - 23*z**2. Calculate c(t(u)).\nAnswer: -21*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y + 21. Let n be p(-6). Suppose x + n*x - 240 = 0. Is 15 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 5*z**2 + 2*z + 2. Let p be j(4). Let h(r) = -42*r - 1. Calculate the remainder when h(-1) is divided by (704\/p)\/(-8) - 4\/6.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 593*r**2 + 86*r - 164. Let w be n(2). Is 2385 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1786*c**2 - 3 - 9 + 14*c**2 - 52*c**2.\nAnswer: 1748*c**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + s + 2)*(2*s - s - 2*s) + (-3*s + 0*s + s)*(2 - 5 + 2)*(21*s - 603 + 603).\nAnswer: 41*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7819011 and 1242.\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 17 = 3*i, 2*i - c - 10 = -2*c. Let d(u) = u**2 + 5*u - 6. List the prime factors of d(i).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -205 + 205.405. Let i = n - -0.595. What is the second smallest value in 2, -10, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-32 - (-7 - (-10 + 8) - 0)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211*z**2 + 213*z**2 - 613030*z + 613030*z.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-17)\/(-4) - 5 - (-44)\/16. Suppose -5*q = -3*d + 1980, -685 = -3*d + a*q + 1295. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 72839 - 57?\nAnswer: 72782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*x = -38*x - 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 8:11 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 186806706 and 30410394.\nAnswer: 1307646942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 4 = 4*u, -u = -0 - 4. Let m(v) be the second derivative of -1\/180*v**6 + 1\/72*v**g + 0*v**2 + 0 + 1\/36*v**3 - v - 1\/120*v**5. Factor m(r).\nAnswer: -r*(r - 1)*(r + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -144 (b) 44386 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -182*q + 1. Let r be l(-1). Let g = -127 + r. Calculate the greatest common divisor of 14 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a century in decades?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.9 + -0.9. Let k = 13.6 + 0.4. Let z = g - k. Put -0.1, -2, z in descending order.\nAnswer: -0.1, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*c + 679570864 + 290314136 = 6*c. Round c to the nearest 100000.\nAnswer: -15400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -51.87 + 48.9. Let l = z + -0.03. Let m = -29.9 + 30. Which is the third smallest value? (a) m (b) l (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -73\/10 + 13\/2. Suppose -4*j - 45 = -5*y, 10 = -4*y + 7*y + j. Suppose -w + 5*w = -5*x - y, 0 = -2*w - 4*x - 10. Put v, 2, w in ascending order.\nAnswer: v, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -31, -29990.\nAnswer: -29990, -31, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -2, 36 in ascending order.\nAnswer: -5, -3, -2, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 2*c - 4, h + 2*c = -5 - 3. Solve -16 = -2*d - h*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -107598 or -107597?\nAnswer: -107597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 74.094 - 74. Round r to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55 - 91. Let d be (-15)\/l + 4\/(-6). What is the closest to -2\/3 in d, 3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53 + 82. Let v(s) = s**3 + 4*s**2 - s. What is the remainder when g is divided by v(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-7 - -9)) + 8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -4*z + 1344. Suppose 0 = -8*i + 5*i + z. Suppose -3*j + 38 = -i. List the prime factors of j.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 2*z + 48. Factor z - 4 + 24*h + 4*h**2 + 24.\nAnswer: 4*(h + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10054 and 0.4.\nAnswer: -4021.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**2 - r**2 + 4*r**2. Let s(a) = -4 + 94*a + 4 - 172*a + 76*a. Calculate s(k(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5040 and 387540.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -409 + 1079. Suppose 0 = -i - 0*i + r. What is i rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 times -2.535?\nAnswer: 25.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4*r**3 - 2*r**2 + 3*r + 6. Is i(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 3. Let u = 4 - p. What is the third derivative of -4*w**2 + u*w**2 - 3*w**4 + 2*w**4 wrt w?\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-12))\/(1\/20). Let x(l) = -l - 1. Let q(o) = -3*o. Determine j*x(h) - q(h).\nAnswer: -2*h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 2, 22, 5, 4, 0.0485?\nAnswer: 0.0485","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*h - 1055689 + 1059109 = 0 for h.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 14\/10*(-70)\/(-14) + (-458)\/66\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6827322938311 from -0.01.\nAnswer: 6827322938310.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102009 is divided by 33979.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*d - 9*d + 39*d - 14*d + 3371*d**2 - 1599*d**3 wrt d?\nAnswer: -9594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6\/7 (b) -2.6 (c) 3 (d) -1 (e) -5 (f) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 f when three letters picked without replacement from {o: 4, f: 3, h: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 59860 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: What are the prime factors of 12811745?\nAnswer: 5, 2562349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/(-9))\/((-5)\/(-5715)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 5, -6, 0.095, 0?\nAnswer: 0.095","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4 = -c, -5*c + 7*i = 2*i + 10. Suppose c = -5*r + 8 + 2. Let f = 10 - r. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2829038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3400 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (318\/106)\/(4\/(-2)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 285184 and 512.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 5*p**2 + 9*p + 5. Let l = -17 - -11. What is k(l)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lpsc when four letters picked without replacement from {p: 3, l: 2, c: 2, s: 2}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 742851 is divided by 103.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144 and 748848?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/30*((-10)\/3)\/(-5)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) -336\/11 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 = -5*y + 23*y. Let f(k) = -k**3 - 6*k**2 - 5*k + 2. Let p be f(-5). Solve 5*v + p = -13, y = t - 5*v for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*k = 24*k + 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 4*n**2 + 2*n - 5. Calculate i(-5).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 114, -597, -2544, -6345, -12618, -21981, -35052, -52449?\n\"Answer: -103*f**3 + 10*f + 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1734)\/2890*15\/18*(18*-13)\/(-1)?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-6))\/((-88)\/(-36) + -2). Suppose -4*o + o - 4*j = -4, 0 = 5*o + 4*j - 4. Is o greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/3)*l\/(l\/l**(-3)))**(-3\/26) assuming l is positive.\nAnswer: l**(11\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a factor of 71518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 5*a**2 - 5*a + 8. What is the remainder when 74 is divided by h(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 11:30 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 760\/(-16) + 3\/(-2) + 1. Let p = b + 64. Does 4 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 40\/3*(-4)\/(32\/(-138)). What is a rounded to the nearest 10?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 7*i**2 - 4*i - 8. Let v be (-11 + 1)\/(4\/(-6)). Suppose 0 = -v*c + 10*c + 30. Calculate g(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/30 and -12\/125.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - 2*o + 50. Let j(c) = -5*c - 18. Calculate the remainder when j(-18) is divided by o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/14 and 6\/2 + -1 + 699\/614 - 3.\nAnswer: 4298","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1322 = -4*n + 442. Suppose -z + 333 + 128 = -3*u, -z - u = -n. Calculate the remainder when z is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 162? (a) -1 (b) 0.46 (c) 0.5 (d) -0.3 (e) -74 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8 + 3)*8\/(-10). Let k(h) be the first derivative of 3*h**2 + 5*h - 74. Let i be k(j). Calculate the greatest common factor of 203 and i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 52.8 + -194.2. Let t = 141 + d. What is the closest to 1 in -3, 0, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 207 = u. Is ((-10)\/(-6) + -1)*u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2. Let n(t) = -582*t**2. Give 776*d(f) + n(f).\nAnswer: 194*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8470232963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 557 is divided by 114?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**2 - 2*x**2 + 11*x - 11*x.\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbbbwbbwbuu. What is prob of picking 2 b?\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -696 - -713. Is 17 at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228*o + 3220 - 6172 = 11184 for o.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -767*r**2 - 809*r - 90. Let l(j) = 257*j**2 + 269*j + 30. Let i(q) = -3*c(q) - 8*l(q). Solve i(o) = 0.\nAnswer: -1, -6\/49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12878 and 294075569?\nAnswer: 6439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 + 27. Suppose -3*u - w = 28. Let o be (-2 - (2 - 26)) + u\/(-5). What is the highest common factor of o and 168?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101001011000011010 - 100?\nAnswer: -10101001011000011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76394 is divided by 1736.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 56*q + 326. Calculate the smallest common multiple of 4 and n(11).\nAnswer: 1884","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3552 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: Suppose 182 = 2*f - 250. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19773*w - 19233*w - 23760 for w.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 7, s: 4, e: 1, q: 2}. What is prob of picking 1 q, 1 s, and 1 z?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f - 42. Let s be c(-24). Suppose -20 + s = -a. What is the smallest common multiple of a and (3 + 13)\/((-4)\/(-2))?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(2) + -3)**2 + sqrt(4)\/(sqrt(10)\/sqrt(5)).\nAnswer: -35*sqrt(2) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 = -2*z - 5*t + 6*t, -4*t = -3*z + 221. List the prime factors of z.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 18*t - 239. Let j be q(9). Let p = 17 - 7. Solve -o - 25 = 5*n + j*o, -p = -2*n + 3*o for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*j**4 - 6848*j + 14*j**2 + 6848*j wrt j.\nAnswer: 360*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 2*x + 23 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15*(936\/13)\/12?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 11:10 PM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(2299) + -2)**2.\nAnswer: -44*sqrt(19) + 2298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 4*v + 40, 5*v = 2*z - 375 + 325 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -d**5\/20 - d**3\/3 - d**2\/2 - 5*d. Let g be x(-1). Let p be (-115)\/35 + 1 + g. Which is smaller: p or 3\/8?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 6:34 AM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88936.\nAnswer: 2, 11117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -110*q - 336. Give k(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76909.\nAnswer: 7, 10987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*k - 88 - 218 = 0. Let n = -81 + 179. What is the smallest common multiple of k and n?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1302 - -0.4302. Let t be (-1 + -1)*1\/(-15). Put t, w, 10 in increasing order.\nAnswer: t, w, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 186232 and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - p + 8. Let i be c(0). Suppose i*a = 2*a - 48. Let b be (18\/(-12))\/(6\/a). Solve 0 = b*o + 4 - 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7095.62018 - -34.72882. Let f = r - 7127. What is f rounded to one dp?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -1) + 2 - (-7 - -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 486067740?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 6*x**2 + 5*x - 2. Let v be i(5). Let z(l) = 4*l**2 + 6*l + 3. Let c be z(v). Suppose c*b - 108 = 130. Is 16 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 279731 != -4\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 2 + (-8 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 10*w + 11. Let x be i(10). Let y = x - 11. Solve y*n + 12 = -4*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h - 12. Let l be g(15). Suppose 3*r = 6*r. Solve r = 2*t + l + 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31\/194 - 6421\/1940. What is the common denominator of c and -7\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dvd when three letters picked without replacement from vddvvv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13448808 by -6724404.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(9 + (-376 - -9)). What is the greatest common factor of 2 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -q - 6. Which is smaller: q or -2\/35?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 n when two letters picked without replacement from {s: 1, n: 7}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1*(sqrt(91)\/(sqrt(7)*2)*-2 - (5*(-1 + sqrt(13)) + (sqrt(832))**2)).\nAnswer: 6*sqrt(13) + 829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 750028.\nAnswer: 2, 187507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2817*z + 2817*z + 1620*z**3)*(6 - 6 - 3)*(3 + 0 - 5).\nAnswer: 9720*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 13*d + 6. Let t be m(13). Solve -2 = 2*k - t for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -129 + 141. Calculate the lowest common multiple of 90 and m.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2365 - 2356. Suppose -9 = -2*h - 3. Suppose 0 = -i - h + 18. Calculate the remainder when i is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/5 in 10, 1\/3, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4578 is divided by 251?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*z**3 - 2*z**3 - 2*z**3 + (5*z + 0*z - 3*z)*(-z**2 + z**2 + z**2) - 2*z**3 + 3*z**3 - 2*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5831*g**4 - 10937*g**4 + 5859*g**4 + 0 - g**4 + 0 + (-2*g**4 - 2*g**3 + 2*g**3)*(-1 + 0 + 3) - 5 + 5 - 3 + g**4.\nAnswer: 749*g**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -157601 or -157578?\nAnswer: -157601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*x**2 - 4*x**2 + 59*x**2 - 6*x**2 + 37*x**2.\nAnswer: 111*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -4.3, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7*8\/14*1. What is the units digit of 27 - w\/(-3 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1487 divided by 13?\nAnswer: -1487\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/440*4*12?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 110*r - 145*r + 630. Calculate the remainder when 54 is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 4:19 PM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 126081288 to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 199860 to the nearest 10000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 6, -119696 = -2*o - 5*r + 10*r. List the prime factors of o.\nAnswer: 59833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5029722.\nAnswer: 2, 3, 17, 5479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 76, 166, 306, 490, 712, 966, 1246, 1546?\n\"Answer: -c**3 + 31*c**2 + 4*c + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3576)\/(-149) + 3 + (1 - -18).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 1. Let v = -16\/155 + -107\/465. What is the closest to v in 0.4, b, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -92 (base 13) to base 14\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 c, and 2 g when four letters picked without replacement from yhgggcyghchcy.\nAnswer: 54\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**2 - 266*w + 266*w.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 63 (b) -2 (c) 88 (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1546)\/20 + 128106\/(-1980) + 64\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -4*c**2 - 6*c + 1. Let n(p) = 2*p**2 + 3*p. What is 3*a(k) + 5*n(k)?\nAnswer: -2*k**2 - 3*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 567 (b) -1\/5 (c) 3 (d) -1.3 (e) 1\/2 (f) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 79, 134, 211, 310?\nAnswer: 431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19615*l**2*r**2 + l**2*r + 2*l**2*u - 5060*l*r**2*u - 64*r**2*u + 9*r**2 wrt u.\nAnswer: 2*l**2 - 5060*l*r**2 - 64*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (26 + (2 - 3))) + 197 + -206?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from pmesseksrkkppsm?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n - 38. Let r be l(14). Is r + -67*3*-1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (95 + -184 - -38) + 55\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1518920, 1518900, 1518880, 1518860?\n\"Answer: -20*b + 1518940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 51 = -3*r, -3*p + 5*p + 2*r = 26. Calculate the highest common factor of p and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1229.\nAnswer: 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -9. Suppose 2*c + 5*k - 8580 = 0, 0 = -c - w*c - 2*k + 17192. Round c to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/4*22\/(-6). Let d = u + -8. Suppose n + 5 = -3*i, d*i - 6 - 17 = -5*n. Solve 3*j - 4 - n = -l, 5*l - 23 = j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 202, 214, 252, 334, 478, 702, 1024?\n\"Answer: 3*h**3 - 5*h**2 + 6*h + 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12386.78 - 12386.75300046. Let w = -243.973 + 244. Let f = w - z. What is f rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3108\/4859 - 159\/113. Let p = -33605527\/12040 + 97528\/35. Let o = l - p. What is the common denominator of o and 71\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 57 - 183 = 0. Suppose 34*v - c*v = 60. Solve 2*m + 0*m - 3*n = -5, n = -2*m + v for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/6, 5, -2\/19, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.241351 kilometers to centimeters.\nAnswer: 824135.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 196 - 330. Let u = -139 - y. Let x = -11 - -16. What is the third smallest value in 0, u, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 7:26 PM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 502027962?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/9 - 100\/(-36). Find the second derivative of -58*t + k*t**5 + 7*t**5 + 64*t wrt t.\nAnswer: 200*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13236)\/15442*(4 - 35\/(-400) - 4)?\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -323.8 - -329. Let w = j - 4.2. What is the second biggest value in -4, 2\/7, w, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**2 - 824636*t - 2473926 = 0. What is t?\nAnswer: -3, 412321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -23*y + 8. Let n(z) = 9*z**2 - 1417. Calculate n(d(j)).\nAnswer: 4761*j**2 - 3312*j - 841","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 217 - 187 + 238 + 3*b + 276 + 1357*b**4 wrt b?\nAnswer: 16284*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -398 + 398. Solve 5*a + 4*i + 13 = 0, -3*a + p*i = i + 12 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.15 + -18.71. What is m rounded to the nearest integer?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f = 3*f + 2*f + 14. Let d(v) be the third derivative of 0 + 0*v**4 + 1\/24*v**6 + 0*v**3 + 1\/12*v**5 + 7*v**f + 0*v. Find y such that d(y) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -233 + 233 + 51*a**2 - 49*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/339 and 14\/55.\nAnswer: 18645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p + 2*x + x - 15, 0 = -5*x + 20 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 7) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11248416 and 4155.\nAnswer: 831","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (15\/(-20) + 11\/132)*(-567)\/18. Let r(s) = s**3 - 3*s**2 - 3*s. Let m be r(4). Suppose -t = m*n - 30, 0*n + 118 = 5*t + 4*n. Is t > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2161a (base 12) in base 2?\nAnswer: 1010110000110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 3*v**3 - 5*v**3 + 3*v**3 + 610 - 35*v - 610 + 2*v**2 = 0.\nAnswer: -7, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x + 27*x = -2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 5*a**2 - 7*a + 6. Let v(r) = 4*r**2 - 6*r - 69. Let t be v(-6). Let n = 115 - t. What is g(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/128 and -51\/88.\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/2 + -9 - 5) + 138\/300?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 192 and 1216.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19337930 is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-1) + 1)*(-6)\/(-6). Is -7\/4 not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -9*y - 24. Let g(b) = -55*b - 150. Let v(o) = -4*g(o) + 25*n(o). Let u(c) = -3*c. What is -9*u(t) + 4*v(t)?\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 10661?\nAnswer: -10660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence az when two letters picked without replacement from {a: 1, g: 1, r: 1, z: 1, k: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 45*d**3 + 2*d**2 - 2*d - 139. Let z(q) = 22*q**3 + q**2 - q + 1. Give v(b) - 2*z(b).\nAnswer: b**3 - 141","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -3. Let y = -46304432\/135 + 342994. Let z = 16\/27 + y. What is the closest to u in z, 2, -3\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3 - 2, 5*u - 255 = -5*h. Suppose -5*k + 2*i = -h, 4*k - 27 = -3*i - 10. Solve 0 = 3*g - k*g + 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14.8 * 0.3.\nAnswer: -4.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1734*v + 873*v + 864*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -2\/3, 2\/63?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 447207394 to the power of 1\/2, to the nearest integer?\nAnswer: 21147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 11. Let k = 460824 - 460819. Which is the second smallest value? (a) t (b) 15\/8 (c) 2 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11819 - -11822. Factor -2\/3*y**v + 10\/3*y - 4\/3*y**2 + 4.\nAnswer: -2*(y - 2)*(y + 1)*(y + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*h + 5*h. Suppose -5*p + 66 = 4*w - 1, -23 = -w + h*p. Is w a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.7936 to one dp.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3274 * 0.4\nAnswer: 1309.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -2\/11 (b) -1.2054 (c) -1\/3 (d) 3\/5 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001689496 rounded to 6 decimal places?\nAnswer: -0.000169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15024*x - 17385*x + 42397*x.\nAnswer: 40036*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*m = 40*m + 24. Which is the closest to -1? (a) m (b) -5 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/6 - 7*y**2\/3 - 22*y\/3 - 20\/3.\nAnswer: -(y + 2)**2*(y + 10)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 16946, 32349, 44668, 52361, 53886, 47701?\n\"Answer: -257*s**3 + 17202*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, b: 5, i: 13, n: 1}. Give prob of picking 1 n and 1 c.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from {o: 12, e: 7}?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 4*l - 1329462 + 1329425, 5*x = 12*l - 11 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/2 - 9*a\/2 + 9.\nAnswer: (a - 6)*(a - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/7 (b) 5\/1721 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, e: 1}. What is prob of picking 2 b and 1 e?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 11*r - 20. Let i be s(-3). Let f(a) = 9*a - 13. What is the remainder when 91 is divided by f(i)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence te when two letters picked without replacement from {t: 5, e: 4, w: 1, o: 6, l: 3, d: 1}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 3934, 16, 4, 1 in increasing order.\nAnswer: -3, 1, 3, 4, 16, 3934","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5751682794 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -100938642\/11 or -9176241?\nAnswer: -100938642\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 518409709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11010011110101 (base 2) to base 7.\nAnswer: 54345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 e when two letters picked without replacement from {e: 6, k: 1, b: 9, h: 3}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**3 - 22*x**2 + 21*x - 7. Calculate r(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -5. Let n = 0.7 - 1. Let p = n + 0. Which is the second biggest value? (a) -2\/11 (b) q (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -55558 and -0.5?\nAnswer: 27779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 2*k + 4. Let w be z(-3). Let x = -110 - -118. Suppose x - 8 = -j. Is j >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + (-5)\/((-35)\/24). Let f be 2 - 14\/4 - (-62)\/84. Let w = d + f. What is the second smallest value in -0.2, w, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 12 - 4. Suppose 0 = 3*m + 2*w - x*w + 5, 3*m - 3*w = -6. What is m rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(76) + -1)**2.\nAnswer: 4*sqrt(19) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 56 + -54. Solve 0 = v - 1 - 0, -z = -d*v + 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -3. Let u(h) = 5*h. Suppose 2 = -5*y + 2*g + 7, -3 = -3*y - 4*g. Let b be u(y). Sort 3, b, l.\nAnswer: l, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 at least 102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -54045320 (base 7) to base 10\nAnswer: -4599791","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*5\/75 - (-9)\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 134 and 107130.\nAnswer: 7177710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 306 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -1. Let t = s - 0. Which is bigger: t or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -c**4\/24 + 5*c**3\/3 - c**2 + 3. Let f(a) be the second derivative of b(a). Calculate f(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 216\/40 + (-2)\/5. Suppose 9*p + 20 = n*p. Let m be 3\/3*-3 - p. Solve 2*j + 3 = 2*a + 5, m*j - 5*a + 1 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 92 and 4393?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 335?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.0745*-4\nAnswer: 0.298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 117953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*y + 2\/5*y**4 + 0 + 0*y**3 - 1\/5*y**5 - 2\/5*y**2.\nAnswer: -y*(y - 1)**3*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-30))\/(-3)*(-15)\/2\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 4:48 AM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -91319\/23148 - 35\/1286. What is the common denominator of -11\/24 and h?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 317719652?\nAnswer: 2, 73, 1088081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of 0 + 0*h**2 - 2*h + 1\/6*h**3. Let a(y) = -4*y. Calculate r(a(u)).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 480504041 to the nearest integer?\nAnswer: 783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 80\/((1\/(-3))\/((-578)\/51)). What is the highest common divisor of 102 and h?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 5.553009 minutes?\nAnswer: 0.00055089375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2495.9 - 2497.248. What is a rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 765, 3062, 6891, 12252, 19145, 27570?\nAnswer: 37527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5*g = -4*w + 185, g = 0. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -5 + (59 + -60)\/((-1)\/11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152707*d - 152687*d - 80 = 0. Let x(k) = -12*k + 2. Determine x(d).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 15 = -3*l, -l - 4 = -2*o - 0*l. Suppose 6*d - 14 = 34. Let n be 10\/4*d\/10. Solve -3*a + 29 = -n*q - 3*q, -o*q = -3*a + 21 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -1458 - 674*r + 1343 + 135*r. List the prime factors of j(-2).\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33*g**2\/2 - 3147*g - 6360.\nAnswer: 3*(g + 2)*(11*g - 2120)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 575*x**3 + 10 - 10 - 1169*x**3 + 0.\nAnswer: -594*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -2, 1\/5, 2\/7, 0.\nAnswer: -8, -2, 0, 1\/5, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -11, -1\/2, -1\/6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4293676626.\nAnswer: 2, 3, 509, 1405919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 3, -6, 1\/306, -0.21?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 - -29. Let y = -309 - -311. Sort 2\/3, -1\/4, y, i in increasing order.\nAnswer: i, -1\/4, 2\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 59*p**2 + 55*p + 2. Let q(c) = -11*c**2 - 11*c. Determine 2*h(m) + 11*q(m).\nAnswer: -3*m**2 - 11*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of 0*w - 1\/60*w**5 + 2\/3*w**3 + 0 - 1\/6*w**4 + 9*w**2. Let t be d(-4). Calculate the greatest common factor of t and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 0.18822.\nAnswer: 0.018822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20979\/(-819) - (-19 + -7)?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -57136 (base 11) to base 6\nAnswer: -1434442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 553 - 549. Solve a*t + 20 = 0, -2*t - 13 = -4*q + 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away 453705656?\nAnswer: -453705656.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 2*o + 3 = 39, -5*o + 15 = 0. List the prime factors of ((-27)\/s)\/(1\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-33)\/(-363))\/((-21)\/(-7)*(-21)\/(-99)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {g: 5, k: 6, m: 4}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + (-21)\/(-6))*468\/26?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g + 2*g + g)*(3*g - 6*g - 98*g**3 - 82*g**3) to the form o*g + w*g**3 + b + c*g**2 + f*g**4 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**5*w**(-2))\/(w**2\/((w**(-3)\/w)\/w))*((w\/(w\/(w\/(w**3\/w))))\/w)\/w*(w\/w**(-6)*w)\/w*(w**(-1))**(2\/7) assuming w is positive.\nAnswer: w**(-2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29036391?\nAnswer: 3, 17, 127, 4483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*q + 521 = 2819 + 1332 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/204)\/(921\/(-33156))?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 34, 82, 138, 196, 250?\nAnswer: 294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 6*w - 2*w = 22, 4*z = 3*w. Let a(g) = -g**2 + 5*g. Let x be a(4). Suppose -x*h = i + 6, z*h + 18 = i - h. Does 6 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -80 + 251\/3. Let f = o + -4. What is the second biggest value in 0.2, 0.4, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167435 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 182523035 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 5*a + 193 = -2*a, 5*a = 2*k - 103. Calculate the highest common divisor of k and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/8 - 115\/20.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 12725, 10828, 8931, 7034, 5137, 3240?\n\"Answer: -1897*t + 14622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 494?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 2*y + 16. Are y and -5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 392619740 and 392619738 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 3:31 PM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 30*u + 270. Give h(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-8)*p\/((((p\/(p*p**(-17)))\/p)\/p)\/p)*(p*p**(-5))**50 assuming p is positive.\nAnswer: p**(-221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8999 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -65 - -61. Sort h, 0.3, -3.\nAnswer: h, -3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21) - sqrt(210)\/(sqrt(10) + sqrt(10)*-2))\/((2*sqrt(300) - sqrt(300)) + sqrt(300) + sqrt(300) + sqrt(300)))**2.\nAnswer: 7\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*b + 5*b - 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lrl when three letters picked without replacement from {r: 2, l: 2, d: 7}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4972515400 - 0.33.\nAnswer: 4972515399.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**3 + 10*x**2 + 2074*x + 22542 = 0.\nAnswer: -17, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 133849 to the power of 1\/2, to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(272)*1 + 3.\nAnswer: 3 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8451 is divided by 2050.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(0 - 2) + (0 - 3). What is the units digit of 20\/20 - (84\/o + -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/13, 1, 4, 2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 329284904.\nAnswer: 2, 13, 37, 83, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express ((v + 3 - 3)*(0 - 4 - 1) + 5 - v - 5)*(-v**3 + 5*v**3 - v**3) in the form a + y*v + p*v**4 + w*v**3 + k*v**2 and give p.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.98, 1.3, 2\/7, 3\/4 in descending order.\nAnswer: 1.3, 3\/4, 2\/7, -0.98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 9:21 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2058648 by 3.\nAnswer: -686216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + 12 + 7 + -13?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1307?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-50)\/(-15)*(53 + 2\/(-1)). Let d = i + -162. Calculate the least common multiple of 20 and d.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**22)\/m)\/(m**(-23)\/m))\/(m**(-20)*m*m*(m\/(m**(-22)\/m)*m)\/m) assuming m is positive.\nAnswer: m**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 70\/9 + -167\/18. Let t be (-2)\/13 + (-108)\/(-26). Let j be t\/10 + 16\/10. Put 4, y, j in descending order.\nAnswer: 4, j, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.97 * -130\nAnswer: -126.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -4. Let c be (-1)\/(-2) - a\/(-4). Let p be (-69)\/(-4) + c\/(-4). Solve p = 3*h + 5 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a gram in milligrams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 881 is divided by 252?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12347056, 24694107, 37041158, 49388209, 61735260?\nAnswer: 74082311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -176812, -176808, -176804, -176800?\n\"Answer: 4*a - 176816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 1. Let k(q) = -3*q**3 + 4. Let h(c) = k(c) - 5*x(c). Let m be h(-1). Sort -1, m, 1.\nAnswer: m, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t + 58. Let y(p) = 577*p**2 - 1. Determine y(a(j)).\nAnswer: 577*j**2 - 66932*j + 1941027","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of 11*x**3\/6 + 95*x. Let v(c) = -8*c**2 + 5*c. Let g(q) = 20*q**2 - 12*q. Let s(t) = 5*g(t) + 12*v(t). Calculate s(m(p)).\nAnswer: 484*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/34 or 205?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*u - 21*u = -2*y + 51130, -u - 3*y = -12790. What are the prime factors of u?\nAnswer: 12781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eei when three letters picked without replacement from iiewiiweweiwwwiew.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45402 is divided by 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*g*g**(2\/7)*g*g))\/g*g)**(-27))**(-6)\/((g\/(g\/((g**(1\/3)*g)\/g)*g))**(-7)*(g*g\/(g*g**(-4))*g)\/g**7) assuming g is positive.\nAnswer: g**(-11255\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24646644 and 654.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 274 + -271. Suppose -k*d + 603 - 600 = 0. Solve -o - 1 = -m, 0 = -4*o - 3*m + 2*m + d for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-32)*-11)\/(9\/(-36)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 4*d + 114, 3*l = 2*d + 2*d + 109. Is -2*19*d\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**3 - 2*c**2 - c - 1. Let p be d(2). Suppose 0 = a - 0*a - p. Let h = a - -12. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -803 + 71*w**3 - 38*w**3 - 34*w**3 in the form v + k*w**2 + f*w + n*w**3 and give v.\nAnswer: -803","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 61*q + 6. Let l be s(2). Suppose -4*a + l = -0*a. Let o = -26 + a. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 137 = -5*m, 3*p + 0*p + m - 197 = 0. Suppose -1250*y - 1257*y = -2494*y - 4238. Calculate the remainder when y is divided by p.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.089789984 rounded to three dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34 - -34.0000076. Round z to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1001207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 223470703\/42 - 5320350. Let q = u - 2568\/7. What is the common denominator of q and -32\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0*r + 6 = 0. Suppose -r - 2 = -4*a. Let c be (-47)\/(1 - a) + 0. Round c to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26816.2 - 26816. Which is bigger: -1014.5 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42361529*q**2 + 24588*q - 469?\nAnswer: 84723058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 107 and 1234.\nAnswer: 132038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-5) - -1 - (-236)\/(-5). Let u = f + 51. Solve r = -u*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of w**5\/30 - 5*w**4\/9 + 16*w**3\/9 - 122*w. Factor d(f).\nAnswer: 2*f*(f - 8)*(f - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3330461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 5*k + 9 = -3*k + 3*r, -3*k + 77*r = -0*k - 361 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.2*-0.05.\nAnswer: -0.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three eighths of a millimeter in micrometers?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 79\/2 of a litre in millilitres?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2498)\/(-16) + 20\/(-160). Calculate the highest common factor of 36 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*j**2 + 141*j**2 - 178*j**2.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3724940267 to the power of 1\/3, to the nearest integer?\nAnswer: 1550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + (-7 - -1))\/(-2). What is the smallest common multiple of (0 + 2)*3\/1 and (y\/(-1))\/(1 - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 6*n**2 + 4698*n - 93936. What is m(19)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**4*(m*m**(-6))\/m*m)\/((m*m*m**(-1\/10)*m*m)\/(m\/m**7)))**(-2\/35))**(15\/8) assuming m is positive.\nAnswer: m**(327\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -6*k**3 - 2*k**2 - k + 2. Let s(i) = 29*i**3 + 11*i**2 + 4*i - 11. Let w(a) = -11*r(a) - 2*s(a). Find the second derivative of w(z) wrt z.\nAnswer: 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8589331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 27*c**2. Let x(z) = -2*z - 7. Let d(f) = f + 4. Let l(m) = -7*d(m) - 4*x(m). Give l(q(o)).\nAnswer: 27*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81848.1 litres to millilitres.\nAnswer: 81848100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45671 and 17598?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4b365 - 51?\nAnswer: -4b3b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 11. Suppose -3*n = 2*d - 3*d - b, 21 = 3*n + 5*d. Suppose -4*y - y + 393 = -n*w, 4*y - 4*w = 312. Is 14 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11.9 - -12. What is the nearest to l in -2\/7, -2, -1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + 682\/(-22) + 27\/(-36) + 141\/36.\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 61 = 14*g. Let b = -3 - -3. Suppose 3*i - u - 3*u - 410 = b, -i - g*u = -128. List the prime factors of i.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eiiiiiiieii. Give prob of picking 3 i and 1 e.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0021576 to 5 dps.\nAnswer: 0.00216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0382 take away -958401?\nAnswer: 958400.9618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 - 5. Let i = -27.0052 + w. What is i rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - (2 - 9\/3). Suppose -u + 5*q + 22 = 0, 0*q = -q - i. What is the remainder when 7 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 + 60*o**2 - 104*o.\nAnswer: -4*o*(o - 13)*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2)\/t**(-1\/3)*t\/((t\/(t\/(t\/(t**(-1\/2)*t))))\/t)*t*t\/(t**(-1\/7)*t))**(2\/147))**(3\/20) assuming t is positive.\nAnswer: t**(41\/20580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -5*y**2 - 127*y - 544. Let b(u) = 17*u - 1. Let h(g) = -4*b(g) + p(g). Find w, given that h(w) = 0.\nAnswer: -36, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqt when four letters picked without replacement from {t: 12, q: 7}.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8986 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + l - 13*l.\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 89, -4, -2.\nAnswer: -4, -2, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53880348512.3360257 + -53880318214. Let c = w - 30298.3. Let b = c - 0.036. Round b to 6 decimal places.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of k**2*l + 58720*k**2 + 19567*k*l wrt l?\nAnswer: k**2 + 19567*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 2*d + 96 = -2*d, 4*g = d + 68. Suppose 235 = 3*l + 2*l. Calculate the remainder when l is divided by g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 = 2*f - 505. Is f a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 223470 - -2?\nAnswer: 223472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-5 + -1 + sqrt(448) + (sqrt(378)\/sqrt(9))\/sqrt(6) + -5)*-6)**2.\nAnswer: -7344*sqrt(7) + 25036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -289 + 601 - t**3 - 307 + 16*t - 3*t**2 to k*t + b*t**2 + z + g*t**3 and give k.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52) + 4*sqrt(52)*3)\/(sqrt(392)\/sqrt(2)))**2.\nAnswer: 2197\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 26 = 4*t - 3*s, 5*t = -2*s + 31. Suppose -t*z + 4*z + 77 = 0. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42024 and 35123?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1140, 2199, 3182, 4083, 4896, 5615, 6234, 6747?\n\"Answer: -p**3 - 32*p**2 + 1162*p + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 65*o + 3187. Let q be a(-49). Sort -2, -5, -7, q in decreasing order.\nAnswer: q, -2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1013202 - -13?\nAnswer: -1013134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 460.640946 to 2 decimal places.\nAnswer: 460.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65467.\nAnswer: 17, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8658 and 3.\nAnswer: 8658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15488 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -47?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*x - 47*x = 6*x + 1080 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-9)\/3)\/((-12)\/8). Let q(h) = -1 + g + 2*h**2 - 1. Let y(r) be the second derivative of 5*r**4\/6 + 13*r. Give y(q(j)).\nAnswer: 40*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 + 42. Calculate the greatest common factor of 133 and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/13578 and 14\/2676075.\nAnswer: 390706950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -184 (base 12) to base 4.\nAnswer: -3310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z + 0*z - 3*z)*(-3 + 2 + 5)*(4 - 7 - 5) to a*z + t and give a.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-30))\/(64\/20)*4. Let h = 9 + -15. Let i be (-9)\/h*(-2)\/4. Which is the smallest value? (a) i (b) 3\/8 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*-19330841\nAnswer: 77323364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46 - 42. Suppose -422 + 26 = -v*i. Does 20 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 68158 + 2?\nAnswer: 68161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = -9*i - 24. Suppose 0 = -3*h + 2*z + i, h + 11 = 2*h + 5*z. Factor 29*q**5 - 27*q**5 - h*q**3 + 3*q + q + 2*q**2 - 2*q**4.\nAnswer: 2*q*(q - 2)*(q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -137445 divided by 19635.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239007612*a**2 - 3 + 239007588*a**2 + 5.\nAnswer: -24*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.02 and 44550166600.\nAnswer: 44550166599.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 40009.9536 to the nearest 1000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12456 is divided by 377.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5*(2 + sqrt(1584)))**2 - ((sqrt(220) - (sqrt(220) - (sqrt(220) - sqrt(220)*-1))) + sqrt(220))\/(sqrt(5) + (sqrt(5) - sqrt(15)\/sqrt(3))*4).\nAnswer: 2394*sqrt(11) + 79400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -8.9.\nAnswer: 26.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 10*u - 10. Let b be q(11). Let p be (0\/(b\/1))\/(-2). Let t be (-36)\/(-4) - p - 4. Solve t*a + 2*z - 14 = 5*z, a - 8 = -2*z for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49809493537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -98999*l**3 + 2*l**2 - 4*l + 1. Let d be f(1). Round d to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19171 * -1.7394.\nAnswer: -33346.0374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 187*g + 889. Give h(-5).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28310 and 5735010?\nAnswer: 1490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1844, 1851, 1862, 1877, 1896, 1919?\n\"Answer: 2*a**2 + a + 1841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 319018024 and 2315080?\nAnswer: 1595090120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nh when two letters picked without replacement from hzzjdnj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10591592 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + -0.5. Let r = 689 - 691.93. Let z = r + -0.07. What is the third biggest value in z, o, 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.29 - 0.01. Let t = -1.9 + -0.1. Let g = -82 + 244\/3. Sort t, g, a.\nAnswer: t, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**2 - 13*o - 106. Give a(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7125576?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**5\/11 + 224*c**4\/11 - 920*c**3\/11 + 928*c**2\/11.\nAnswer: 2*c**2*(c - 2)**2*(c + 116)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5081692?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -9*v + 30, -217495 + 217486 = 3*y for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 684.8702 and 0.\nAnswer: 684.8702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 69 = -64. Calculate the greatest common factor of u and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c + r - 44, -72233*c + 72236*c - 5*r = -105 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -109*v + 13. Determine l(1).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(98) + -5)*1 + (sqrt(98)*3 + 3 + sqrt(98) - sqrt(98)) + sqrt(98)) + 2)*-2.\nAnswer: -140*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 703 - 703 + 32*q.\nAnswer: 32*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 26 = -2. Suppose 14 - 2 = -n*v, 5*c = -3*v + 13. What is the nearest to 0 in c, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16770 and 7495545?\nAnswer: 194884170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of 2*b**5\/5 - 13*b**4\/14 + 10*b**3\/21 + b**2\/7 - 4. Solve l(i) = 0.\nAnswer: -1\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - 0)*(0 + -9). Let a be 2814\/56 + (-2)\/8. Let q be 2\/(-3)*(-825)\/a. Solve 2*n - 5 = -4*l + c, 3*n - 2*l = -q for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**2 + 5*g + 4. Let h = 9 + -6. Suppose -2*k - h*k = 15. Calculate z(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6076 + -6075. Let v be ((-4)\/42)\/((-6)\/28). Which is the closest to r? (a) v (b) -1 (c) 5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 8:00 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41753202 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5780502455 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5961849 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: Is 25 a factor of 141125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 1. Let s(y) = 2*y - 5. Let b(i) = 5*p(i) + s(i). Let k(u) = 2*u**2 + 3*u - 1. Let f be k(-3). Let d(m) = -9*m - m - f*m. Calculate b(d(x)).\nAnswer: -36*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 59*(-110)\/(-22715)*791\/2?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -6*v + 7. Calculate t(-3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -14498*w + 159392. Give g(11).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 21*n - 7. Let i(q) = q + 1. Let f = -1 - -5. Let p be f\/3 - 2\/(-3). Let w(a) = -2*a**3 - 3*a - 2. What is n*w(h) + p*i(h)?\nAnswer: -2*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 70 - 60. Determine x, given that 15*x + 10*x**5 - 25*x**2 - 25*x**3 - w*x**4 + 10 + 10*x**4 + 15*x**4 = 0.\nAnswer: -2, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -234, -513, -790, -1065, -1338, -1609, -1878?\nAnswer: -2145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 3:13 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.6994kg in nanograms?\nAnswer: 96699400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + 33 + -48 - 38.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) 8\/7 (c) -17 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-5*22\/(-4730)). Solve 0 = 13*u + 74 + x for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -2\/3*h**6 - 8\/7*h**7 + 0*h**4 + 0 - 1\/3*h**3 + 3\/2*h**5 + 0*h**2 - 4*h. Solve p(t) = 0.\nAnswer: -1, -1\/4, 0, 1\/3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*n + 112*n**2 - 43*n**4 + 66*n**3 + 32*n**4 + 14*n**4 + 20*n**2 - 3*n**5 = 0 for n.\nAnswer: -2, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10851 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26.265 + 1.265. Put p, 0.2, 4 in ascending order.\nAnswer: p, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(304)*-1 + 3 - sqrt(304) - (-5 + sqrt(304)*3)).\nAnswer: -40 + 100*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 11*v**3 + 10*v**3 - 22*v**3 - 10. Calculate w(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -36. Let t = 65753 + -65731.9955. Let f = t - g. Round f to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 12*z**2 - 21*z + 13. Let m be o(10). Suppose 0*p - p - 2*t = -46, 78 = 2*p - m*t. List the prime factors of 852\/2*14\/p.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1840445\/6 less than or equal to 306742?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -2*u - 30, 0 = -220*a + 227*a + 3*u - 125 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a - 5*d + 8, -23 = -4*a - 2*d - 33 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53469.\nAnswer: 3, 13, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(20\/11)*j*j\/(j\/(j\/j**23)))\/(j*(j**(-10\/9)\/j)\/j)**2 assuming j is positive.\nAnswer: j**(-1382\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**3 - 76*m**2 + 560*m = 0. What is m?\nAnswer: 0, 10, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 158.3433 micrometers?\nAnswer: 0.0001583433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -42582, -43707, -44838, -45975, -47118, -48267, -49422?\n\"Answer: -3*u**2 - 1116*u - 41463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - c - 3*v + 39 = 0, -4*c + 2*v + 52 = 0. Solve -4*x = -5*f + 16, -16*f = -c*f + 3*x + 12 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 10:23 PM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 147567?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1210515 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 537426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 38*d - 4. Let m be a(-10). Let v = -215 - m. Is 25 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 114 = -k, 2*f - 612 = -402*k + 397*k. Solve -15*s = 5*s + k for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -294826.\nAnswer: -3\/294826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 1\/8 (c) 34 (d) 8\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*p + 3*u - 24 = 47*p - 21*p, 2*u = 5*p + 16 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/119 in -2, 0, -2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of v**4\/8 + 7*v**3\/3 - 77*v**2\/4 - 45*v + 1513. Factor z(q).\nAnswer: (q - 5)*(q + 1)*(q + 18)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -17*m**2 - 1. What is h(-1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2993334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.8 + 8. Let i = -14.33 + 14. Let m = -0.03 - i. Which is the second smallest value? (a) m (b) 3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1821 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 1:58 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14379 is divided by 4791.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -6941 less than or equal to -6953?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) + sqrt(567)*3*-1)**2.\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 9*d**2 - 12*d + 23. Let t be x(10). Suppose -24 = -t*b - 18. What is the first derivative of -4*v**b + 8*v**2 - 34 - 3*v**2 - 15*v**2 wrt v?\nAnswer: -28*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 - -23. Let r = 234.6 - 295. Let d = c + r. What is d rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-42)\/(-4))\/((-11)\/(-22)). Suppose -7 = 7*q + j. Let k be (q\/4)\/((-1)\/23). Solve -2*a + 15 = -5*o, -5*a = -0*a + 2*o - k for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 84 - 83. Suppose 2*w - 5 = -3*w, -h = -2*u + 5*w. Put 0, -4, u in descending order.\nAnswer: u, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*v + 10*v + 10*v)*(-62*v**2 - 18*v**2 - 12*v**2).\nAnswer: -736*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -65\/7438 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000226894992 rounded to 7 dps?\nAnswer: 0.0002269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g. Suppose 0 = -z - 0*z + 7. Let r(x) = -4 - z*x + 8 - 4. Give r(o(u)).\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 11:35 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6}. Give prob of picking 3 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 2051.370064 to the nearest ten.\nAnswer: 2050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 384, -3 in increasing order.\nAnswer: -3, 6, 384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 1496 = -5*q + 6*v, -2*v + 909 = 3*q. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44747 and 51707?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67, 298, 901, 2062, 3967, 6802, 10753?\nAnswer: 16006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/5)\/((-33)\/(-3)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0, 1918\/5 in decreasing order.\nAnswer: 1918\/5, 6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 + 2*z + 156 - 3*z + 16 + 236.\nAnswer: -z + 455","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from acyyybysya.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2431 - 5?\nAnswer: 2426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - 6. Let t = i - -30. Let k(q) be the second derivative of -q**3\/6 + 9*q**2\/2 + 420*q. What is k(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 390 - 5*(7 - 8).\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 120, 151, 234, 393, 652?\n\"Answer: 4*k**3 + 2*k**2 - 3*k + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j**2 + 1. What are the prime factors of d(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 11*s**2 - 2*s - 9. Let v(g) be the third derivative of -g**5\/12 + g**4\/24 + 2*g**3\/3 + 4*g**2. Calculate 6*q(a) + 13*v(a).\nAnswer: a**2 + a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 106 + -76. Does 10 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3\/4 - 57*p**2\/2 + 261*p - 702.\nAnswer: 3*(p - 26)*(p - 6)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 + 0.4. Let j = 0.15 + -5.15. Which is the smallest value? (a) -3 (b) q (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 31*g**2 + 66*g + 6. Suppose -4*b = -2*w - 3*b - 71, 157 = -4*w + 5*b. Let l be u(w). Solve 6 + 6 = l*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 13\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -12. Let h = 8 - 3. What is the third derivative of -w + c**h - 5*c**2 + c**5 + 2 wrt c?\nAnswer: 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11010841\/216 + -50976. What is the common denominator of l and -7\/9?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, -4\/7, 0.1, -3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/25 of a micrometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 242*l**2 - 456*l**2 + l + 257*l**2)*(1 - 6*l + 2*l + 1).\nAnswer: -172*l**3 + 82*l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*c + 5*c - 9*c in the form i + u*c and give u.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26.2 - -26. Which is the closest to -0.1? (a) f (b) 2\/5 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1957 divide 12542628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -6. Suppose -5*u = -w + k - 20, 0 = -3*u + 9. What is m in w*m**4 - 3*m**2 - 75*m**5 - 43*m + 123*m**3 + 18*m**4 - 12 - 6*m**4 - 5*m = 0?\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 3*x**2 + 6*x - 1. Suppose -86 + 58 = -7*k. What is l(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236 a factor of 7037147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 15*z**2 + 18*z + 22. Let y be w(13). Suppose 0 = -0*j + 2*j - 4*x + 618, -5*x = -20. Let f = y + j. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 8, -4.\nAnswer: -4, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1371 or 1372?\nAnswer: 1371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -5*h + 66 + 279, 4*h = 20. Suppose -16*n + s = -14*n. What is the lowest common multiple of n and 48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15\/19 + 3\/76. Let a = 0.099 - 0.739. Let n = a + 0.54. What is the closest to -3\/4 in m, n, 0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*r + 8*r + 84. What is the nearest to r in -0.4, 2\/11, 0, -23\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95605 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -730 = 5*v - 725 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**3 - 8*r**2 - 17*r - 41. Let n be d(-11). Let m = n - 689. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.713629 millilitres in litres?\nAnswer: 0.005713629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) - (2 + sqrt(720)))**2 + 3 + sqrt(15)\/sqrt(3).\nAnswer: sqrt(5) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 4774*b - 71710. Determine z(15).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6 - 360\/(-75) - (2268\/5)\/(-3). Solve 45*u + c = -5*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47758 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 178410, 356829, 535248?\n\"Answer: 178419*r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 723 a factor of 23775230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 10:39 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - h = -196, 2*q - 234 = 7*q - 4*h. Let d = q - -62. What is the least common multiple of d and 30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 220 - 217. Let b(f) = 5*f**2 + 23*f + 3. Let m(q) = 16*q**2 + 70*q + 10. Let t(k) = v*m(k) - 10*b(k). Let t(p) = 0. Calculate p.\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 3*o**3 + 4*o)*(0 - 4 + 2) + 0*o**3 - 5*o**3 + 3*o**3 - 4*o**3 - 8*o + 8*o.\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130 = -t + 126 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 b when three letters picked without replacement from {u: 3, f: 6, p: 1, b: 1, o: 3, e: 4}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + s - 3 - 9, 14 = -3*h + 2*s. Let c(u) = 2*u**2 + 2*u. Give c(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 36*o**3 + 2*o**2 - 3*o + 1878. Let w(g) = -g**3 + g + 1. Let a(z) = q(z) + 3*w(z). Differentiate a(l) with respect to l.\nAnswer: 99*l**2 + 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-24 + 10\/5)\/(-1). Let q = s - 22. Suppose 11*d - 10964 + 3627 = q. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 3:41 AM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 115118400 divided by 87?\nAnswer: 1323200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, n: 6, v: 3, t: 2, c: 3}. What is prob of sequence nkn?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41 - 12 + 38)*(3 + 0 - 2)*(-3*c + 3*c - 2*c).\nAnswer: -134*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**3 - 14*w + 28. Let f be t(2). Calculate the greatest common factor of 464 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 370426470.\nAnswer: 2, 3, 5, 19, 649871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*v + 52*v - 97*v + 1740 = -3220 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, q: 1, d: 9, w: 1, a: 3}. What is prob of sequence wa?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -3, 67\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of m**5\/20 + m**4\/3 - m**3\/3 - m**2\/2 - m. Suppose -p = -4*h + 6, 6 = -h + 5*p - p. Is a(h) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13537a7 (base 12) to base 10.\nAnswer: -3842479","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 312368, 311099, 309830, 308561?\nAnswer: 307292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*p**3 + 41410095971*p - 41410095971*p - 45*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 1\/4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 - 0.19. Let t = -10541\/13 + 811. Let f be (1 - 1) + 4\/(-12). What is the nearest to f in u, 2\/5, t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/(-9)*2*27\/18. Suppose -h*j = -2*p - 2838, j = -3*j + 4*p + 2844. List the prime factors of j.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 15*c**2 - 15*c + 61. Determine s(-16).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121454b (base 12) to base 14.\nAnswer: -675ca7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 267182, 267096, 266866, 266420, 265686, 264592, 263066, 261036?\n\"Answer: -12*t**3 - 2*t + 267196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -113 + 31. Let s = y - -169. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**3\/w*w**4*(w**(-2\/5)\/w)**(2\/39)*((w*w**(-2))**(-20\/9))**25 assuming w is positive.\nAnswer: w**(35968\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of p**4\/28 + 3*p**3\/7 + 15*p**2\/14 + p + 24. Factor d(q).\nAnswer: (q + 1)**2*(q + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/9072 and 55\/216.\nAnswer: 9072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 7, 0, 3 in increasing order.\nAnswer: -22, 0, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10112 = -474*m + 538*m. Calculate the remainder when 448 is divided by m.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -4*h - 1023, -j - 5*h + 428 = 68. What are the prime factors of j?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -d**4\/12 - 2*d**3 + 3*d**2\/2 - 8*d. Let t be m(-12). What is the remainder when -4 - (-4 - 260)\/t is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**4\/7 + 16737788*d**3\/7 + 23346123348480*d**2\/7 + 1550642842483490816*d - 10854523243524521984\/7.\nAnswer: 4*(d - 1)*(d + 1394816)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10304 is divided by 317?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hllhhlhlhlllhllhlzzl. What is prob of sequence lz?\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/326 + 647\/1630. Which is the closest to u? (a) 4 (b) 2 (c) -4 (d) 15\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4741 a factor of 38380944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -62070609 + 132086267897\/2128. Let z = -40\/133 + t. What is the common denominator of z and (-22)\/99 + 866\/252?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, b: 1, j: 1, t: 10, o: 2}. Give prob of picking 1 o and 1 b.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4500 and 146038875.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, -0.04, 589, 0 in descending order.\nAnswer: 589, 45, 0, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 219 - 58. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 51 = -5*t, -43*t - 130 + 10 = -p for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -49 + 21. Find the common denominator of a and -44.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hyawg. Give prob of sequence ah.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-17)\/(-15) + 4\/(-30). Suppose -y + l = -184. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -193*o + 585*o - 198*o - 19*o**2 - 194*o.\nAnswer: -19*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u - u + 0*u + (-u + 6*u - u)*(-15 + 35 - 56) as c + a*u and give a.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5360000 rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 1229000 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*y + 2*o, 2*o = 4*y + 1 - 9. Let q = 7969\/21208 + -2\/2651. Are q and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*f = 3*b - 29, 4 = -2*f. Suppose 2 = 4*p + 26. Let d be (-21)\/p + 1\/2. Solve -k = d*k - b, 0 = n - 5*k + 21 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4 + 556.71?\nAnswer: 559.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*f = 2*z + 39*f - 41, -24 = -6*f + 6 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x - 3. Let l = -17 - -29. Does 19 divide w(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/72 and -38\/21207843?\nAnswer: 169662744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(0 + 2 - 3). Let j(h) be the first derivative of h**4\/4 + 8*h**3\/3 + h**2\/2 + 8*h + 9. What is j(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318 is divided by 312?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-4 - -3)) + (-10)\/16.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -18. Suppose 1 = -n*v - 7, 5*v = -5*t + 20. Sort -3, t, 4 in ascending order.\nAnswer: -3, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -2.4\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -z + 5*t, 379*z - 376*z + 9 = -3*t for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*g**2 - 2\/3 + 25\/3*g**3 + 7*g = 0. Calculate g.\nAnswer: 1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.692272 micrometers to kilometers.\nAnswer: 0.000000003692272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223023023 (base 4) to base 16.\nAnswer: -2b2cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 192 and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.45 + 0.05. Let a = -4 + 7. What is the closest to -0.1 in a, 5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010000011110010 (base 2) in base 8?\nAnswer: 120362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6230\/105*(10 - 1). Let k = 348 + d. What are the prime factors of k?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 4, 3663 in descending order.\nAnswer: 3663, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 6) in base 2?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 16849?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -n - 4*k + 12, -3*n = 4*k - 28. Let t(z) = -z**3 + 6*z**2 + 16*z + 2. Let x be t(n). Factor 2\/5 - 1\/5*p**x + 1\/5*p.\nAnswer: -(p - 2)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -6*c + 1. Let l(r) = -17*r + 3. Let u(y) = -5*l(y) + 15*t(y). Let g(j) = -121*j**2. Give u(g(i)).\nAnswer: 605*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 268 and 2500?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.5 (b) -13 (c) 104\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(2 + (sqrt(200) + (sqrt(200) - (-2 + sqrt(200))) - sqrt(200))) - (5 + sqrt(200) + -1)*4)*-3)**2.\nAnswer: 23040*sqrt(2) + 38016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 0, 5 in descending order.\nAnswer: 18, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d*g*w**2 + d*g + d*w**5 + 3*g*w**3 - 39*w**5 + w**2 wrt w?\nAnswer: 60*d*w**2 + 18*g - 2340*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*(-5 - (-186)\/48)*(-8)\/6. Suppose 3*r + 3*h - 3 = h, 4*r - 3*h + 13 = 0. Put r, 1, -4, o in descending order.\nAnswer: 1, r, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 164, 177, 208, 263, 348, 469, 632, 843?\nAnswer: 1108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1324.2992339 from 8131.\nAnswer: 9455.2992339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, m: 1, k: 4}. What is prob of sequence vm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2134 by 1067.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -14. What is the units digit of (-3)\/12 - s\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of 2*a**3 - 9*a**2\/2 + 107*a + 214. What is the first derivative of k(z) wrt z?\nAnswer: 12*z - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -213*o + 434. Calculate p(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -25. Let t = 0 + 0. Solve 3*k - 4*l - n = t, -6 = k - 3*l - 17 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 + 4*x**2 - 2*x**2)*(3*x**3 + 4*x**3 - 5*x**3) - 10*x**5 - 16*x**5 + 33*x**5 - 30*x + (7*x**4 - 56 + 56)*(-4*x + 3*x - 3*x).\nAnswer: -17*x**5 - 30*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/75 (b) -0.5 (c) 14\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 259 - 139 = -n + 147, 0 = -46*f - 4*n + 298 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, h: 1, m: 2, z: 1, f: 2, j: 1}. What is prob of sequence bjbz?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 9, 2, 25, -5 in decreasing order.\nAnswer: 25, 9, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-153*k**2 + 594*k**2 + 267*k**2)*(2 - k - 2)*(1 + 3 - 2)*(-2 - 2 + 1).\nAnswer: 4248*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -2) + 0 + 2 + 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 14 - ((-3)\/(-3) - -1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -92.949989002 - -92.95. Round v to six dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 2*y + 470, 4*u - 4*y - 172 - 292 = 0. Solve -11*v - u + 20 = 0 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z - 23. Calculate b(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ax when two letters picked without replacement from aavazxbbabbu.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zhozozzbbziz. What is prob of picking 2 z?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(1\/126*(-16)\/(-24)). Calculate the greatest common divisor of 42 and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-472)\/20)\/(4\/(-10)). Suppose -m = 5*k - 189. Calculate the remainder when k is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-4 + (-5 + 2*sqrt(847) - (sqrt(847) - (-4 + 0 + sqrt(847)))) + -2*(1*sqrt(847) - sqrt(847))*-5*-1))**2.\nAnswer: -9152*sqrt(7) + 56912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 90 - -157. Suppose t = i + 127. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 394511779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 10:03 AM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 12, 10, -16, -84, -212, -418, -720?\n\"Answer: -3*t**3 + 6*t**2 + t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -36 (b) 108 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-161)\/(-21) - (-2)\/(-3). Solve 2*h - 2*q + 8 = 0, -5*q = 4*h - 0 + n for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2268*q + 814*q + 2342*q + 2148*q.\nAnswer: 3036*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4 + 3.4. Suppose -5*i + 2 + 3 = 5*h, 5*i = 2*h + 5. Let v = h + -1. What is the nearest to v in t, 2\/5, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14 + 5474713?\nAnswer: 5474727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 0.04286 (c) -2\/31245\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4*a**2 - 5*a**2 + 4*a**2. Let o(p) be the second derivative of 0 + 13*p + 0*p**2 - 1\/3*p**4 + 0*p**3. Determine o(b(y)).\nAnswer: -36*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 15498\/(-1620) - 532\/(-56)\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of 23*d**3\/6 - 34*d**2 + 3834*d. What is r(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 7*v - 2 + 1 - 11*v**2 + 1. Let m(z) = z. Let h(f) = i(f) - 5*m(f). What is the second derivative of h(s) wrt s?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73970, -147939, -221922, -295925, -369954, -444015, -518114, -592257?\nAnswer: -666450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*d + n, n + 8 = 3*n. Let i = -4 + 9. Suppose -i*o + 32 = -d*o. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -r**4 + 9*r**3 - 51026*r**2 - 3968988*r wrt r.\nAnswer: -12*r**2 + 54*r - 102052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, j: 11}. Give prob of picking 4 k.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of 5*g**6\/24 - g**5\/2 - 5*g**4\/16 + 5*g**3\/6 - 2456. Solve f(h) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 286, 578, 874, 1174, 1478?\n\"Answer: 2*y**2 + 286*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -365, -633, -767, -755, -585, -245, 277?\n\"Answer: 2*v**3 + 55*v**2 - 447*v + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 8:24 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 2 + 7*y + 34*y**2 - 2 - 30*y**2. Let d be 1\/((-6)\/(5 + -3))*-15. Determine z(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -178, -195, -236, -313, -438, -623?\nAnswer: -880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r - 12. Let c be y(-3). Sort c, -0.1, 0.4, 1 in descending order.\nAnswer: 1, 0.4, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 65*u**2 - 9*u + 2189. Calculate z(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 678 - 681. Let i(v) = -v + 2. Let m(w) = -6*w + 9. Let a(y) = 11*i(y) - 2*m(y). Calculate a(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 divided by -26.\nAnswer: 28\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - (-4)\/(2 - 6). Let g be (-2)\/v + (-90)\/(-36). Suppose 2*l + 1 = g. Is 3\/20 <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 495084272?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -66.5352 rounded to one decimal place?\nAnswer: -66.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 4, 1, 3, 5, 9, -653 in descending order.\nAnswer: 9, 6, 5, 4, 3, 1, -653","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -9*u. Let m(o) = 4*o + 26. Let x be m(-6). Let g(n) = -9*n**2 + 2*n**x + 7*n**2 + 5*n**2. What is g(r(j))?\nAnswer: 405*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5305\/2 - 2622. What is the common denominator of (4\/6)\/((-104)\/318) and v?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -n**4\/12 + 34*n. Let i(k) = -18*k**2. Determine y(i(j)).\nAnswer: -324*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -398*l + 385*l. Let c(w) = -4*w**2 - 9*w - 25. Give c(l).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 3366?\nAnswer: -5\/3366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0*i + 2*l + 8 = 0, 2*l + 8 = -4*i. Solve 0 = -3*q + 3*c + 21, 2*q - 4*c = -i*c + 20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -13 (b) -1\/8 (c) -5\/3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155 = 1693*w - 1685*w + 20*a - 261, w + 58 = 3*a for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 576865\/476 or 1211?\nAnswer: 1211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.19 (b) -5 (c) 8\/55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 49a0 + 12?\nAnswer: 49b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7491 - 97899 = -1037*l + 10181 for l.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/27 and -29\/27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -8*v + 260. Is v a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of (5784\/21)\/((-14)\/(-49))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 391\/3, -2\/13, -12 in descending order.\nAnswer: 391\/3, -2\/13, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158*j + 154*j = -16. Suppose j*t - 5*a - 512 = 956, -2*t + 708 = 4*a. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 - 42. Which is the closest to 0.2? (a) 1 (b) u (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*d = -f - 17*d - 6, -6*f + 3*d - 102 = 0 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 5*j - 9 + 5*j**3 - 12104*j**2 + 12089*j**2. Let y(r) = 6*r**3 - 22*r**2 + 7*r - 13. Give 7*d(t) - 5*y(t).\nAnswer: -2*t**3 + 5*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2045 times 0.1323?\nAnswer: 270.5535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78821 and 1192?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1928, 1936, 1936, 1922, 1888, 1828, 1736?\nAnswer: 1606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 145.5568 to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -6, -13, -20, -27, -34?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a. Let d(w) be the second derivative of 0*w**2 + 0*w**3 + 15*w - 59\/12*w**4 - 2. Give t(d(p)).\nAnswer: -59*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 115360 and 1297800.\nAnswer: 5191200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - m - 16 = 0. Let d be (-2)\/1*(-14)\/m. Let g(v) = v**2 + 8*v - 7. What is g(d)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*f = -1029*w + 1030*w + 3, -3*f - 3*w = -13*w - 30 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - (1 + 2 + 10). Let n = v - -18. Suppose -5*y + k = -21, 2*y - 4*k - 8 - 4 = 0. Are y and n non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 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: Product of -0.8 and -1.31.\nAnswer: 1.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 418924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/(54\/10))\/(1\/6). Find the second derivative of 6*f + 3*f**3 + h*f**3 + 4*f**3 wrt f.\nAnswer: 102*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2411120 + -3?\nAnswer: 2411112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0685 - 224.1315. Let z = 224 + f. Is -8\/15 >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 862155\/(-8330)*2\/(-9)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 18068 (base 9) to base 3\nAnswer: 122002022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1131905318.\nAnswer: 2, 4603, 122953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9824*-0.4.\nAnswer: -3929.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l + 11. Let c be g(2). Let r(m) = m. Let q be r(-3). Put q, c, 1 in decreasing order.\nAnswer: c, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 324 and 252.\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**3 + 11*l**2 + 20*l + 43. Let y(p) = p**3 - p + 1. Let r(f) = q(f) - y(f). Calculate the remainder when 449 is divided by r(-9).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 5*x = 8 + 47, 5*t = 2*x - 77. Let d = t - -17. What is the third derivative of -3*z**3 - 4*z**d - 2*z**2 - 2 + 2 wrt z?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 0*c = -15. Suppose c*q - 72 - 54 = 5*d, 5*q + 2*d = 210. Is q a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229384046.\nAnswer: 2, 114692023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 0 - (15 + -6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 65 - 50. Let j = -11 + m. What is the second smallest value in -0.5, j, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82636, 82639, 82642, 82645, 82648?\nAnswer: 82651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/9))**26*(y*y*y**(-3))**(2\/5) assuming y is positive.\nAnswer: y**(-278\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1381241968?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 93*c - 287 - 243 - 865 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 821 is divided by 748.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -279550*c**2 + 1036455*c wrt c?\nAnswer: -559100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 5457 - 346*o - 200*o - 5444 in the form k + z*o and give z.\nAnswer: -546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 93, 6, 2, 185, -2 in increasing order.\nAnswer: -2, 2, 6, 93, 185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 w when two letters picked without replacement from bwk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 2156.\nAnswer: 2156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/6 + 0)\/(2\/(-76)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q + 3. Let s(p) = -5*p - 26. Let n(c) = -2*c + c + 5 + 2*c + 0*c. Let z(r) = 11*n(r) + 2*s(r). What is 5*v(u) - 6*z(u)?\nAnswer: -u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 14, 48, 106, 194, 318, 484, 698?\nAnswer: 966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 13.9971 + 4705808330\nAnswer: 4705808343.9971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25777 is divided by 242.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10.74*17\nAnswer: -182.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102, -119, -138, -159?\nAnswer: -182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + sqrt(891)) + sqrt(891).\nAnswer: 1 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 2 - -2)*6*(-29372)\/(-3147).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-44)\/(-462))\/((-4)\/1958). Let i = 139\/3 + f. Which is the third smallest value? (a) -5 (b) -3 (c) 2\/7 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -10*n - 3*v + 15, -2*v - 2 = 0. Let o be (-10 + 5 + n)*0. What is the second biggest value in -2, 2, 2\/9, o?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -3*l - 9, -3*s - 3*l = s + 7. Solve -s*f - j - 3*j = 10, 0 = -4*f + 2*j for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/10 - (-3)\/(-5). Let n be (3\/9)\/(1\/4). Let o = 37\/18 + -88\/45. What is the closest to 0 in n, o, j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.29 - -9.34. Let w = 0.71 - -7.29. Let b = i - w. What is b rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 1946 = -10*w + 13*w, 4*w + 2448 = 5*f. Calculate the highest common factor of 61 and f.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s - 2*s + s)*(-3 - 2 + 1) + s + 0*s + s + (s + 3*s - 5*s)*(16 + 7 - 6) + 6*s - 5*s + 6*s as l*s + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.8 + 0.2. Let m = 157.08 - 157. Sort m, p, 0 in ascending order.\nAnswer: 0, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 49*a**2*w - 14*a**2 - 33*a*w**3 - 5*w**3 + 4*w**2 - 86*w + 15 wrt a?\nAnswer: 98*a*w - 28*a - 33*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37140\/(-75)*35\/(-28)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6107\/2 + -3023. Sort 6\/7, i, 0.5 in descending order.\nAnswer: i, 6\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -5*j + 1. Suppose 5*m = 5, -m - 44 = -2*s + 35. Suppose s*q = 41*q - 3. Let r(t) = -4*t. What is q*c(p) - 4*r(p)?\nAnswer: p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4338*a - 1080146. Determine g(249).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/20 + (-47807773)\/22230. Let v = y + 2151. Is 0 smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 27*j + 1. Let d be q(1). Suppose 2*t + 2 = -4*n, -5*t - 4*n = -5*n - d. Suppose 4*a = t*a + 4000. What is a rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-112)\/(-24))\/(3 - 1245\/450)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 8*o**2 + 31*o - 165. Let r be f(5). Is r at least 191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*f - 5*l, -l - 1 = f + 3*f. Let c be ((-24)\/(-20))\/(21\/35). Is f at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-2*sqrt(110) + -4*(sqrt(110) + sqrt(110)*1 - sqrt(110)))\/((1*sqrt(70))\/sqrt(7) - sqrt(10) - sqrt(160)) + 3 + -2.\nAnswer: 1 + 5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.9*27843.7\nAnswer: 25059.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + 462\nAnswer: 461.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) + sqrt(396) + 0 + -1 + (1*(sqrt(396) - (sqrt(396) + sqrt(396)*2)) - sqrt(396) - sqrt(396)))*6)**2.\nAnswer: 864*sqrt(11) + 57060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1589942 or -1589939?\nAnswer: -1589939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 3*j + 13, 100 = 4*j + 4*x + 108 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 312*o + 199*o - 424*o + 1740 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1346262471 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**3 - 6*h - 7. Let f(s) = -s**3 + 5*s + 6. What is 7*f(t) + 6*y(t)?\nAnswer: 5*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 109 - 70. Let a = s + -36. Suppose 4*j = a*k - 75 - 87, 5*j = 15. Calculate the remainder when k is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 1727.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 3:41 AM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -187\/34058670 and 37\/90672?\nAnswer: 272469360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -22235*m - 200119. Determine c(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 58781957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -8 (b) -0.1 (c) -0.022 (d) 0.2 (e) -1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -611.1 - -611. Which is the second smallest value? (a) -37\/2 (b) u (c) -6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -126921*h - 1649963. Determine l(-13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-4)*(-7)\/(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**4 + 2*f**4 + 0*f**4 + (-f - 4*f + 0*f)*(-4 + 4 - 2*f**3).\nAnswer: 13*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 10:27 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 8 = -13. Calculate the remainder when (-4)\/12 - 122\/(-6) is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 1778012?\nAnswer: -1778014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c + 1. Suppose -f + 1 = 4. Let o be r(f). Factor -o*z**3 + 4*z - 2*z**2 + 2*z**3 - 4*z**3.\nAnswer: -2*z*(z + 1)*(3*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (462*v - 1089*v - 2 - 652*v)*(-3 - 1 + 11).\nAnswer: -8953*v - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 - 34. Suppose 2*h - 2 = 2. Suppose -4*z = -h*l - 386, 5*l - l + 20 = o. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15834565?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 38 = -11*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41 - 41. Solve w = -2*f - 4*o + 6, 4*f + 10 = 6*o - 3*o for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -z**5\/6 + 7*z**4\/24 - 2*z**2 - 427*z. Let o(l) = 8*l. Determine o(p(w)).\nAnswer: -80*w**2 + 56*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 38 (b) 4 (c) -1\/3 (d) 0.35 (e) 1382\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 12) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/6)*x)\/x**17 assuming x is positive.\nAnswer: x**(-97\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6247 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-20 - 4) + -2 + 7?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 492560, 492575, 492596, 492623, 492656, 492695, 492740?\nAnswer: 492791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(13)*-1)**2 + (sqrt(91) + (sqrt(91) - sqrt(91)*-1 - sqrt(91)))\/sqrt(7) - 2*((0 + sqrt(13))*4 + 1).\nAnswer: -6*sqrt(13) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -129 + 102 + (5 - 1)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 14*v**5 + 592*v**4 - 1288*v**3 - 202604*v**2 - 257926*v - 57188 = 0.\nAnswer: -29, -1, -2\/7, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 - 38.2. Let k = 2 + -1. Which is the biggest value? (a) -3\/7 (b) s (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 20. Let i(t) = 13 + t**2 + 42*t - 6 - 21*t - 15*t. What is the units digit of i(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (46740\/24 - -14)*2?\nAnswer: 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 284697430?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19 and 304.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 22*m**2 + 26*m - 71. Calculate x(23).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50 + 101. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2 = 0, -7*f - 4*z = -3*f - 28. Suppose -2*b = 2 - f. Is (-4)\/b - (-181)\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105 and 1365?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-108 - -13) + 78 + -121.\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6473509, 12947017, 19420525, 25894033, 32367541, 38841049?\n\"Answer: 6473508*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 168479?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -246.6777 - 0.5\nAnswer: -247.1777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*d + 44. Calculate the least common multiple of 20 and d.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-24)*-1 + (-11)\/88. Suppose -3*q + 2 = 8, w = -4*k - 4*q + 8. Let v(z) = -z + 1. Let p(r) = -3*r + 0 - 2 + 6. Determine k*v(s) - p(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000062669 rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**3 - 23*f**2 + 11*f - 3. What is j(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*a**3 + 0*a**3 - 3*a**3)*((-2 - 4 + 2)*(0 + 0 + 1) + 4 - 1 - 4) as z*a + n*a**2 + y*a**3 + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*u - 1. Let d = -2 - -5. Let x(l) = l + 3. Let k(w) be the second derivative of w**2 + 2*w. Determine d*k(t) + u*x(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 0*x + 6 = 0. Let t = 27 + -17. Calculate the smallest common multiple of x and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(160)\/sqrt(288) + sqrt(20) - sqrt(240)\/sqrt(192))*-4)\/((sqrt(288)\/(sqrt(9) - sqrt(324)))\/(sqrt(80)\/sqrt(90))).\nAnswer: 55*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2208.468 grams?\nAnswer: 2208468000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/9 + (-196)\/(-3). Suppose -p = 3*v - 6. What is the tens digit of (-385)\/v - 1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 y, and 1 c when three letters picked without replacement from ddhhhydhycdhdddcd?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/2))**(2\/169)*o**(-5)\/o**5*((o*((o**0\/o)\/o)\/o)**(-13\/5))**27 assuming o is positive.\nAnswer: o**(110193\/845)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84 + 353*i**3 - 378*i**3 - 153.\nAnswer: -25*i**3 - 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2400889?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of a**6\/5 + 5*a**4\/12 + 23*a**2\/2 + 8*a. Let i(w) be the first derivative of y(w). Find the second derivative of i(b) wrt b.\nAnswer: 144*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**5 - 56385*m**4 - 264628734*m**3 + 2915766942*m**2 - 9282312495*m + 6631230675 = 0 for m.\nAnswer: -9403, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -47737 divided by 6.\nAnswer: -47737\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - a - 460 - 290, -3*f + 2244 = -5*a. Let d = -112 + f. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eighteen fifths of a centimeter?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1315*r + 4608*r - 2695*r**3 + 990*r wrt r?\nAnswer: -16170*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 101*h*m**6 - h*m**2 - 30*h*m - 31*m**6 + 25*m**2 wrt m.\nAnswer: 12120*h*m**3 - 3720*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3423 + 3422. What is the nearest to -0.1 in j, -0.3, -2\/11, -1\/5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of h**6\/120 - h**5\/12 - 7*h**4\/12 + 5*h**3\/3 - 31*h**2. Let x be d(9). What is the greatest common divisor of x and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04773532473 to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 - 3*r**2 + 2*r**2)*(r + 2*r - 5*r) + 346278*r**3 - 346067*r**3 - 2 + 3.\nAnswer: 209*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 + 2652*k - 5320.\nAnswer: 4*(k - 2)*(k + 665)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-52)\/10)\/((-1680)\/350)*(-80)\/(-104)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -11\/3*d**3 + 0*d**2 + 13 + 11\/5*d**5 + 0*d + 0*d**4. Find the third derivative of y(f) wrt f.\nAnswer: 264*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*j - 13 = 0, -49 = 4*j - 37. Sort 0, u, 4, 5 in descending order.\nAnswer: 5, 4, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -72 - -76. Let z be (-2*1\/8)\/(4\/8). Which is the nearest to 2\/3? (a) z (b) h (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(((sqrt(539) + 0 - sqrt(539) - sqrt(539)) + 3)**2 + sqrt(539)) - ((2*sqrt(132)*-2)\/sqrt(3))**2) + -2.\nAnswer: -1254 + 35*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 90.1 - 90. Which is the closest to g? (a) 2\/7 (b) 0.1 (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8674?\nAnswer: 2, 4337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1487 is divided by 56?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (28\/(1 + -8))\/((-2)\/4). Let f be (-1)\/s + (-43815)\/(-184). Round f to the nearest ten.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f. Let o(v) = -454*v + 32. Let w(k) = -454*k + 48. Let c(y) = -3*o(y) + 2*w(y). Give c(x(s)).\nAnswer: -454*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -338.8 and -0.085.\nAnswer: 28.798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-57)\/209*(-22)\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*f + 73*f + 12 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-14))\/((-10)\/28*-2)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -5*c + r, 3*c + 2*r + 2 = 13. Let j(m) = 5 + 17*m - 3*m - c*m. What is the units digit of j(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 193414603?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**3 - 69*u**2 - 42*u + 50. Let i be j(-34). Suppose -i = -13*r - r. Solve -l - r + 25 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000385458891 rounded to 7 decimal places?\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of -r**8\/20160 + r**5\/30 + r**2. Let z(f) be the third derivative of m(f). Let j(b) = 11 + 3*b**2 - 2*b**2 - 11. Give z(j(s)).\nAnswer: -s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/72*9\/(-72)*-2.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(475) - sqrt(475)*-2*6))**2.\nAnswer: 321100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2*i + 28 = 0, -i = -4*g - 4*i + 28. Let d(y) = y**2 - 3*y - 1. Let p be d(g). Solve 9 = -p*t - 6 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3158.81 millennia?\nAnswer: 31588.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -95*h + 29. Let b be u(7). Let q be 53\/b - (-74)\/24. Let n(t) = t**2 - 3*t + 1. Give n(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2275)\/28*(-2812)\/(-3515)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-21 + 3)\/(3\/(-7886)). Suppose -6*d + z = -38826. Let p = -8434 + d. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**3 - 41*i**2 - 88*i + 34. Calculate c(-18).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mzz when three letters picked without replacement from zzzmdhhhmhhhmz?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + z - 1. Let f(r) = 4*r**2 - 12*r - 27. Let v(q) = -f(q) + 5*k(q). Calculate the least common multiple of v(-17) and 3\/4*96\/4.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5eed (base 15) to base 6\nAnswer: 233424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-280)\/(-665)*(-2)\/4?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 9:33 PM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f = -2*f - f + 33 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 117*a**2*b**2 + 94*b**2 wrt a.\nAnswer: 234*a*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -478*o**3 + 2117*o**3 - 1 - 975*o**3 + 1.\nAnswer: 664*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 51\/5 of a kilometer?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*z + 374131 - 374986 = 0 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/12065 and -167\/7799070?\nAnswer: 148182330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1934.\nAnswer: 2, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 11:45 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5, -0.2, 95, 0, 18.17, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16 - 27*n - 412*n**3 - 3032*n**4 + 412*n**3 - 35 wrt n.\nAnswer: -36384*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64 - 3*o - 64.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/7 - (-10011)\/1491.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j + 4*g - 84, -22835 = 16*g - 23187 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111010111 + 101001101101?\nAnswer: 100010010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3 = -5*m, -2*p - 23 = -7*p + 3*m. Suppose -p*b = -4*f + 12, 5*b + 5*f - 23 = 2*b. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 115 - 110. Solve p*l + 3 = -2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -8. Suppose 0*c + c = -k. Let w be ((-56)\/(-20))\/(c\/(-10)). Is 8 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/6)\/(638*325\/5720)?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15*q**4 - 4 + 1 - 6*q**4 - 2 wrt q?\nAnswer: 36*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58 - 18 - 40 - 2*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 74009450 a multiple of 215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 l when three letters picked without replacement from {l: 1, r: 10, i: 1, o: 2}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from exelhdd. Give prob of sequence de.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of 1283*w**4\/12 + w**3\/6 - 362*w**2 + 2*w + 26. Find the second derivative of p(f) wrt f.\nAnswer: 2566","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 1 = -q + 7, -4*q = 3*x - 24. Solve -5 = m - q*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -90 from 814.\nAnswer: 904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -121687 + 0?\nAnswer: -121687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (4\/(-14))\/(20\/(-28))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3 - 80*i**2 - 172*i - 88.\nAnswer: 4*(i - 22)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*t*x**2 - 2*t*x + 29076*t - 6641*x**2 + 24*x + 9 with respect to t.\nAnswer: -4*x**2 - 2*x + 29076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 11:23 PM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (-2 - -1) - (-107 + 203 + -56)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 22*t + 1. Let h(v) = 8*v**2 + 529*v - 1141. Let p(g) = 5*h(g) + 35*o(g). Factor p(q).\nAnswer: 5*(q - 3)*(q + 378)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by -28*(-5)\/35*(-15)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 9*j - 260925 = -260786, -i + 687 = 43*j for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -52 and -0.11127.\nAnswer: -52.11127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3403 - -17044\/5. What is the fourth smallest value in -2\/5, 7, -0.05, q?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - -3 - 3 - (-4 + 10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 8*y - 752 = 0. Let k = 190 + y. Solve k*f - 5 = f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 8 = 18. Suppose 15*h = f*h + 3400. What are the prime factors of h?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b = -14 - 4. Let g = b + 0. Suppose -10 = -g*z - f, z + 0 = 3*f - 2. Solve 4*j + 12 = -z for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6339766 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 0.3 (c) -27 (d) 0.1405 (e) 0.4 (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -10*u**4 + 4*u**2 + 3*u. Let f(b) = -9*b**4 + 3*b**2 + 2*b. Let o(k) = 3*f(k) - 2*z(k). What is the third derivative of o(q) wrt q?\nAnswer: -168*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*v + v = -128 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**3 - 13*j**2 + 2*j + 8. Let h be (56\/(-12))\/(4\/(-6) + 0). What is the units digit of s(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -t**6\/6 + t**5\/5 - 14*t**3\/3 + 5*t**2\/2 - 282. Find the third derivative of c(f) wrt f.\nAnswer: -60*f**2 + 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49813?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2442923 to the power of 1\/4, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15960)\/(-79800)*(2\/(-26) + (-1)\/(-3)).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -14002?\nAnswer: -7001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-12)*3)\/1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -6, 4*o + 31 = 5*u + 2*o. Suppose 2*w + u = -303. Let q = w - -366. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 17 (b) 6 (c) -0.5 (d) -20\/3 (e) -13 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 15 + -10 - 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14925 is divided by 427.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/84 and 59\/108.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9079248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of 25*h + 9 + 11\/2*h**2. Is c(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (88*5\/40)\/(((-63)\/(-45))\/(-7))\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 + 1 - 2 + 3*a**2)*(2*a - 3 + 3)*(1 + 5 - 4).\nAnswer: 4*a**3 - 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2*sqrt(605))**2.\nAnswer: -220*sqrt(5) + 2445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 554*c = -169*c + 30366 for c.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and 1138096.59.\nAnswer: 1138096.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (3 + -2 + 4 + (1 - 3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34 * 12700.003.\nAnswer: -431800.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/(-15)*6\/(-4). Let b(c) = t + 2 + 0 - 2*c**2 - 2*c. Determine b(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -5*k + 4. Let g(z) = -3*z + 2 - 2 + 11*z - 9*z - 1. What is 5*g(o) + n(o)?\nAnswer: -10*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*m = -7, 3 = -5*x + 4*x + 3*m. Let d(c) = 17*c - 51. Let h be d(x). Determine k, given that 5\/3*k**2 + h + 2\/3*k = 0.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 26*s - 27. Let g be m(-25). Let w = -12 - -7. Sort g, w, 3 in descending order.\nAnswer: 3, g, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sggey. Give prob of picking 1 g and 1 s.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-6) - (-8)\/3. Let v(h) = -4*h**3 + 25*h**2 - 35*h - 17. Let b(q) = -q**3 + 6*q**2 - 8*q - 4. Let a(r) = -9*b(r) + 2*v(r). Give a(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75, 2\/9, 5 in ascending order.\nAnswer: -75, 2\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 3.4. Let d = 139 - 144. Let u = -166 + 164. What is the closest to f in -1, u, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (n**2 - 6*n**2 + 2*n**2)*(-4 - 3 + 2) + (-1 + 5 + 6)*(5 + 0 - 2)*(2*n**2 + 2 - 2) as a + w*n**2 + m*n and give w.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 51 (b) 3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7774 = 483*j - 3447 - 2303 for j.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -99 and -17.\nAnswer: 1683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*p + 48*p = 2106. Does 78 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**3 + 13*s**2 + 107*s - 697. Let a be q(7). Solve 5 + 4 = -a*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31836 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b - 16 = 4*b. Let s(z) = -z**2 - 3*z + 2. Let h be s(-3). Find the second derivative of j + j + h*j - 2*j**b - j wrt j.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-5) - -1*936\/(-15). Let p = c - -68. Let v(t) = -t**2 + 5*t + 6. Let b be v(p). Solve -5*r - 4*n - 3 = b, -n = -3*r + 4*n + 13 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 12*z + 670. Let u be i(-45). What is the greatest common factor of u and 585?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22103\/8 - -2770. Calculate the common denominator of -27\/32 and w.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 5*u - 39184 = 0, 36*u - 33*u = 3*g - 29388. Is g a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, c: 12}. Give prob of picking 3 c.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 120011101?\nAnswer: -120011021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*o**4 - 5*o**3 - 7*o**2 - 1.\nAnswer: 408*o - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 100 - 64. Let n = 59 + t. Let z = 98 - n. Solve 5*a - 3*a - z*m - 9 = 0, -3*a = m - 8 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -7\/365?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*y - 56*y - 48*y + 187 = 0. Solve -i + 6*f - 23 = y*f, -3*i = -f + 5 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*x = -105*x - 237960. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000053651172 rounded to 7 dps?\nAnswer: 0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*f, 4*c - 3*f - 75 - 156 = 0. What is the smallest common multiple of c and (-9)\/(1 + 50\/(-35))?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*c - 4*d, 2*c - 2*d - 8 = 3*d. Suppose 4*w = -3*b + 80, 0*b = -3*w + c*b + 85. What is the highest common factor of 23 and w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -51692 - -2132?\nAnswer: -49560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -678*t**2 + 9*t + 16. Let a(y) = 678*y**2 - 7*y - 19. Let z(b) = 4*a(b) + 3*u(b). What is the second derivative of z(q) wrt q?\nAnswer: 1356","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - -22. Suppose 6*h = -0*h + d. Solve 1 = -3*p + h*g - 4, 5*p + g - 1 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j**2 - 38*j**3 - 106*j + 3 + 106*j wrt j?\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(208))\/(sqrt(36)*5).\nAnswer: 4*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -9*b**2 - 5*b - 4. Let o be i(-2). Let s = -28 - o. Suppose 10 = -3*p + 4*u, -s*u + 16 = 2*u. Put -4, 4, p, 9 in descending order.\nAnswer: 9, 4, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -3. Let o = 0.07 - 0.07. What is the closest to k in o, -1\/3, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (((sqrt(175) - (sqrt(175) - 1*sqrt(175))) + -4 - sqrt(175) - -1*(sqrt(175) + -1 + sqrt(175))) + 3)*2)**2 + -5.\nAnswer: -120*sqrt(7) + 2804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**2 + 4*c - 1. Let t(p) = 7*p**2 + 17*p - 3. Let r(z) = 4*t(z) - 18*x(z). Let d(g) = 7*g**2 + 3*g - 5. What is -6*d(j) - 5*r(j)?\nAnswer: -2*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 52.89283 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6957, -3332, 293, 3918, 7543, 11168?\n\"Answer: 3625*f - 10582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1430325 by -6357.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2 + 3. Let m = -13 - -13.16. Let u = 0.15 - m. What is the closest to u in 3, w, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/((i**6*i)\/i*i)*i*i*i**5*i*i*i)\/(i**(-1\/3)*i*i*i)**14 assuming i is positive.\nAnswer: i**(-97\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118772*o**2 - 2*o**3 + 118772*o**2.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16655 + 56*x**2 - 16655)*(5 - 5 - 11).\nAnswer: -616*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37903973?\nAnswer: 37903973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 20052 (base 6) to base 2\nAnswer: 101001000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 896833 is divided by 1315.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 2\/37557?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1151 is divided by 427.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m - 124. Let r(g) = 83*g - 40*g + 2*g**2 - g**2 - 43*g. Give r(a(f)).\nAnswer: f**2 - 248*f + 15376","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 18*z + 10*z + 1 + 5*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 82244, -7 in ascending order.\nAnswer: -10, -7, 82244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 44492.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -829 + 831. Let v be 30\/7 - (-2)\/(-7). Solve v = -p*y + 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-38)\/(-1615))\/((750\/25)\/(-750))?\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-102))\/(18\/(-27))\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2336*p - 18681. Determine i(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is -4349 less than 906713?\nAnswer: 911062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 49 + -31 - (4 + 18)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1748 or 1751?\nAnswer: 1751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oootottoct. Give prob of sequence ooo.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 14. Let d = -4 + q. Let c(r) = r**2. Let n(v) be the first derivative of v**3\/3 + v**2\/2 + 2*v - 699. Give d*n(o) - 3*c(o).\nAnswer: -2*o**2 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**7*b)\/b*b)\/b**(-3\/4)*b*b\/(b\/(b\/b**(-2\/9)))*b*b*((b\/(b**(1\/4)*b))\/b)\/b assuming b is positive.\nAnswer: b**(193\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n**3 + 14*n**2 + 46*n - 4. Give q(8).\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5*sqrt(475)*6)**2 - -3*(sqrt(1539)*1 + sqrt(1539))**2*1.\nAnswer: 600*sqrt(19) + 445972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -184934?\nAnswer: -184934","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -163aa0a (base 11) in base 2?\nAnswer: -1010101010101100100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -l**3 + 8. Let g(x) = -3*x. What is g(i(c))?\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*(k*k**(-11))\/k*k*k**(-2\/7) assuming k is positive.\nAnswer: k**(-65\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14\/3? (a) 0.4 (b) 5 (c) -10 (d) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 63 divided by -8607\nAnswer: -21\/2869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001763172913 rounded to 7 decimal places?\nAnswer: -0.0017632","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 658620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1617) + 4*sqrt(1617)*3)\/(sqrt(99)*4*3) + 4)**2.\nAnswer: 182*sqrt(3)\/9 + 15193\/432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10514, -10101, -9414, -8453, -7218?\nAnswer: -5709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 82*b**4 - 21*b**4 - 20*b**4 + 26*b**6 + 3*b - 19*b**4 - 124*b**2 - 10*b wrt b?\nAnswer: 3120*b**3 + 528*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3592791282.\nAnswer: 2, 3, 19, 1097, 28729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -840 = 58*w - 16*w - 14*w for w.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*x**2 + 41*x**3 - 74*x**3 + 40*x**3 - 19*x**2.\nAnswer: 7*x**3 + 37*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/4, -0.53, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a kilometer in meters?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39793907 and 150627.\nAnswer: 2183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1033813680.\nAnswer: 2, 3, 5, 4307557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/35604 and 15\/11130206.\nAnswer: 200343708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112044231 (base 5) in base 4?\nAnswer: 21113221333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*q**2 + 19*q + 21*q + 8*q**2 + (-23*q - 26*q - 7*q)*(-6*q + 3*q + 4*q).\nAnswer: -55*q**2 + 40*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -0.1 (b) 1 (c) -0.4 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + 5 + 1 + 12.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-5)*2\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -96*o + 2. Suppose -2*i + 5*i - 21 = 0. Let x be p(i). Is (-2)\/3 + x\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1498 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -19 and -3123238 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 15127*x - 166250. Give s(11).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {p: 18, b: 2}?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - t + 38. Let m be o(0). Suppose -4*z + 6 - m = -2*k, 2*z + k = -8. Let p be 2\/2*2\/z. Which is the third biggest value? (a) 3 (b) p (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.4 + 0.52. Let r = 0.42 - c. What is the third biggest value in -1\/9, 2, r?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 21 + 29. What is the tens digit of (3 + -61)\/(4\/j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 237, 461, 673, 873, 1061, 1237?\nAnswer: 1401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -106205, -107235, -108265, -109295, -110325?\nAnswer: -111355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1208705\/(-44805) - (-20)\/(-870)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3116 and 14934988.\nAnswer: 3116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of 457*z**6\/24 - 195*z**4\/8 - 8*z**2 - 7*z. What is the second derivative of f(x) wrt x?\nAnswer: 13710*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/sqrt(2))**2 + -4 + sqrt(500) + -1.\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -8188965?\nAnswer: -1\/2729655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*d*f**4 - 6156117*d*f**3 - 7*d*f**2 - 440277*d wrt f.\nAnswer: -72*d*f - 36936702*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1660\/(-15))\/4*-3. Let m = 395 - q. Is 52 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3896209, 7792420, 11688631, 15584842?\n\"Answer: 3896211*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 - -45. Let i be (1205\/c)\/(4\/5). Let h = -60 + i. Which is smaller: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k**2*p**4 - 76*k**2*p**2 - 581*k**2*p wrt p?\nAnswer: 12*k**2*p**2 - 152*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 19*l = -64. Let y(o) = -o**3 - 4*o**2 - o + 1. Give y(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30a6bbb (base 12) to base 13.\nAnswer: 1b94325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 7*p + 7. Let s be a(-6). Let h be s\/(-3) + 14\/6. Suppose 7*k - 31 = 11. What is the highest common divisor of k and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78980 and 6820?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5640\/160 - 2\/8. Suppose -5*g = 3*s - f, 0 = -s + 3*g + 29 - 8. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide ((-576)\/27)\/(6\/(-9))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 i when three letters picked without replacement from iiibiiiiiiiiiiiiii.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2120222120200 + -1010?\nAnswer: 2120222112120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-6*1\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6350 + -6347. Solve -m*g = 4*c + 1 + 10, 0 = 3*g - c - 14 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 48, -3, 5, 2610, 10, 4 in descending order.\nAnswer: 2610, 48, 10, 5, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 10:46 AM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 0 + (-8 - -10)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.182? (a) -4\/453 (b) 2\/15 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -605, -622, -643, -668, -697, -730, -767?\nAnswer: -808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h - 11. Let g be n(-18). What is the highest common divisor of g and 344?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -176 or -4437?\nAnswer: -176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seven halves of a century?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 470 - 437. Calculate the greatest common factor of 110 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -35*u**2 + 2725*u - 236663. Let x(i) = 16*i**2 - 1364*i + 118332. Let c(o) = -4*a(o) - 9*x(o). Factor c(m).\nAnswer: -4*(m - 172)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1104 = 2898912*c - 2898957*c + 786 for c.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 45665453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -440, -4\/3, -85\/6, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3030313330 (base 5) in base 16?\nAnswer: 5d2497","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 740 + -736. Suppose -t*j - 27*j + 992 = 0. Calculate the remainder when 189 is divided by j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 616 and 374?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3566 divided by 1.\nAnswer: -3566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3199 + 3196. Put 1, r, -5, -175 in ascending order.\nAnswer: -175, -5, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2491 and 437646281.\nAnswer: 2491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 12. Let l = o - 0. Suppose x + 15 = 3*n - 3*x, -4*n + 10 = -2*x. Put n, l, 2 in increasing order.\nAnswer: n, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*a**5 - 9408*a**4 + 108538418*a**2?\nAnswer: 660*a**2 - 225792*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*w**3 + 5*w**4 + 0 - 617*w + 0 + 15*w**2 + 622*w.\nAnswer: 5*w*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42 - 41.6. Put 0, c, -1 in decreasing order.\nAnswer: c, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 - 65 = -8*u + 4*b, 5*u + 502*b = 508*b + 71 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10045 + 12368. Is 8 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**5 - 18*a**4 - 10*a**3 - 3432*a**2 + 9. Let k(q) = -q**2 - 1. Let h(u) = -d(u) - 11*k(u). What is the third derivative of h(p) wrt p?\nAnswer: 120*p**2 + 432*p + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 321138 and 1406?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1871, -3744, -5617, -7490, -9363?\nAnswer: -11236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/67 and 0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 - 14 = -s - 9*s + 2*d, -s = -13*d + 33 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24297 and 12.\nAnswer: 97188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 10 + 5 = 0. Let a(y) = y**2 - 1. Let k(i) = 3. What is r*a(l) - k(l)?\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2*sqrt(1300) + -1 + -2 - (4 + (sqrt(143)*2*1)\/sqrt(11))))**2.\nAnswer: -9072*sqrt(13) + 153396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + sqrt(11)*1) - (-5 + (sqrt(396)*1)**2).\nAnswer: -397 - 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5862, -5886, -5934, -6012, -6126, -6282, -6486, -6744?\n\"Answer: -p**3 - 6*p**2 + p - 5856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 33. Let p = 13 - 13. Let z = p - -10. Calculate the remainder when y is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 920 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 times -5.3?\nAnswer: -206.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, n: 1, w: 5, z: 1, k: 2, f: 2}. Give prob of picking 3 i.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1644\/(-234) + (-4)\/13 - (-7 - 0). Sort -2\/3, v, -50, 9 in descending order.\nAnswer: 9, v, -2\/3, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -109 + 111. Let h be (-4)\/14 - 303\/(-7). Suppose -k + h = d*n, 6 - 3 = k. Solve q = 6*q - n for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, -2\/13, -0.3, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25120102, -25120103, -25120104, -25120105?\nAnswer: -25120106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 35184 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnpnnnenepnnnonnnnn. What is prob of sequence peep?\nAnswer: 1\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2159320 and 9768?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24539 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**3\/4 + 1967*b**2 + 8367531*b\/4 - 2093850 = 0 for b.\nAnswer: -6600, -1269, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 60*i**2 + 5091*i - 765. What is c(-85)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 184 and 138?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 16*v**3 + v**2 - 5*v - 2. Let l be q(-2). Let r = -152 - l. Is r smaller than -37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, t: 2, z: 2, s: 5, d: 10}. What is prob of sequence zztd?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccuu when four letters picked without replacement from ycycccucmuyyuc.\nAnswer: 15\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 896348219 to the power of 1\/2, to the nearest integer?\nAnswer: 29939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/210 and 2\/27.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -55*w + 59*w - 16, 5*u - 4*w = -10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + 5*h + h)*(-3 + 0 + 5 + 8*h)*(101 - 7070*h + 7073*h + 94).\nAnswer: 48*h**3 + 3132*h**2 + 780*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6\/11 - -1\/22. Let k = 0.74 + -0.7. Let j = -1.96 - k. Sort 2\/11, z, j in increasing order.\nAnswer: j, z, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 5:43 AM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - 3. Let y = 3413 - 3419. Determine n(y).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28b02 (base 13) in base 4?\nAnswer: -102230033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3008, 12017, 27004, 47963, 74888, 107773?\nAnswer: 146612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -810077, -810074, -810071, -810068, -810065?\n\"Answer: 3*j - 810080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 615 + -278. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 580, 2946, 6876, 12358, 19380, 27930, 37996, 49566?\nAnswer: 62628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35.9 - 36. Which is the nearest to 0? (a) 0.2 (b) p (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and -159.2?\nAnswer: 155.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1*3)\/(23 + 602\/(-28)). Let m(x) = -x**3. Let z(w) = -9*w**3. Calculate r*z(g) + 22*m(g).\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 30, 31, 32, 33?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a millennium in decades?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 39 (b) -2\/43 (c) 46\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282484883.\nAnswer: 282484883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 5*c + 3. Let f = 0 - 2. Let x be (c - -3) + f + 2. Solve x = -5*u - 0*u - 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1519 (base 11) to base 3.\nAnswer: 2200110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -174.28 - -174.4. Let o = 22 + -26. What is the nearest to x in 6, o, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of -12*z**3 - 24*z - 1\/30*z**5 + 2*z**2 + 0 - z**4. Suppose n(h) = 0. What is h?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m + 11 - 3*m - m. Suppose 4*i - a - 35 = 0, i + 0*i = 5*a - 15. Suppose -90 = -i*h - 5*h. Give b(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 4. Let o(u) = -3*u**2 - 16*u - 13. Suppose v + 25 = -4*m - 2*v, -4*v = -4*m - 4. Calculate the lowest common multiple of o(m) and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 divided by 467?\nAnswer: -46\/467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64 and 2416?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 59*b**2. Let x(v) = 2*v**2 + 3*v - 29. Let s(l) = l**2 + l - 2. Let y(h) = -3*s(h) + x(h). Give y(j(f)).\nAnswer: -3481*f**4 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 5 + 5)*(-305*v**2 - 226*v**2 + 473*v**2)*(v + 2*v**2 - v)*(-6 + 4 + 8) as l*v**3 + w + f*v**4 + g*v + k*v**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 79421437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 4*k**2 - 789. Let l(z) = -29*z**2 + 5545. Calculate -2*l(i) - 15*o(i).\nAnswer: -2*i**2 + 745","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 202000163*f**4 - 50739329*f.\nAnswer: 2424001956*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -25. Let j = k + -2. Which is the third biggest value? (a) j (b) -1 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a tonne in kilograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -0.1. Let g = h - -0.6. Let x = -8.5 - -8. Which is the second smallest value? (a) x (b) -4\/9 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124351, -122904, -121455, -120004, -118551, -117096?\nAnswer: -115639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, u: 1, n: 1, x: 2}. What is prob of sequence xxnu?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 - 72*a - 189.\nAnswer: -3*(a + 3)*(a + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - (-2 - -1)) + -2. Suppose q - 7 - 5 = 0. Suppose 4*n - 4*l = -q, 3*n - l + 9 = -6*l. Which is the nearest to o? (a) n (b) 0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9445 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**10\/f)**(-24\/13)*(f*f**(-23))**19 assuming f is positive.\nAnswer: f**(-5650\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 28*w**4 - 7*w + 39. Let f(q) = 19*q**4 - 5*q + 26. Let m(v) = 7*f(v) - 5*o(v). What is the first derivative of m(c) wrt c?\nAnswer: -28*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 - (-20 - -38) - (1 - (-1 + -1))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 742867000 and 15920.\nAnswer: 7960","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -386 - -388. Suppose -3*d + 5*d + 216 = 0. Let b be (1\/(-3))\/(m\/d). Calculate the greatest common divisor of b and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -14*s + 10. Let j be b(1). Let f(m) be the second derivative of m**4\/12 + 7*m**3\/6 + 2*m**2 - 6*m - 2. Give f(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-12 - 0) - 18\/(-8). Suppose 0 = 3*s - 3*n + 12, -p*n + 5*n = -3*s. Is s >= -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73440 by -1836.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51 + -140. Let n = q - -89.01. Let c = -0.00999825 + n. What is c rounded to seven decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -18547783 + -54?\nAnswer: -18547847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1*-9)\/(-3) - 3. Suppose t*h - 9 = 3*h. Let n be h\/(-3) - 1 - 5. Let v(j) = j**3 + 4*j**2 - 6*j - 6. Give v(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3\/35 - 2\/7. Which is the third biggest value? (a) g (b) 0.4 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.4*1360\nAnswer: -10064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h**3*w**2 - h**2*w**3 + 1291*h**2*w + 74*h*w**3 - h*w**2 + 46*w**3 + 3*w + 2 wrt h.\nAnswer: -6*h*w**2 - 2*w**3 + 2582*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3658*v**3*x**2 - 697*v**2*x**2 wrt v?\nAnswer: -21948*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 2365 divide 2829930620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + (3 - 2) + 3. Suppose -o*y - 1 + 11 = 0. Suppose -4*m = -2*r + 5*r - 31, -y*r - 2 = -m. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481\/273*-3 + (-2)\/(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2*d - 36 = 0, r + 33*d - 30*d + 33 = 0. Factor -1\/2*i**4 + 3\/2*i**r + 0 + 1\/2*i - 3\/2*i**2.\nAnswer: -i*(i - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, k: 11}. Give prob of sequence zkzk.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 + 24*g + 33. Give n(-8).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-29 - -45) + -5 + -2 - 4\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o**2. Let u(p) = 13*p - 2. Let z(b) = -40*b + 7. Let l(j) = -14*u(j) - 4*z(j). Give l(a(g)).\nAnswer: 66*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 418684?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 128522743?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1\/4, 28, 31, 2, -8 in descending order.\nAnswer: 31, 28, 2, -1\/4, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1707405 + 4862727.\nAnswer: 6570132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 13\/4 of a micrometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 46783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -50*w + 58. Let a be l(1). Solve -5*o - a = -0*x - x, 0 = -3*x + 2*o + 11 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -21. Let o = g + 28. Let p be 3\/o + 33\/18. Solve l = -l + p for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252027166 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 2\/15, 1\/4, -2\/2225, 69?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 - -1*(-60)\/14. Let o = -6 - -1. Which is the third smallest value? (a) -0.3 (b) j (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t - 4. Let r be f(7). Suppose -4*o + 116 = -c, 4*o - r*c = 21 + 87. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/60*-4)\/(1*2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 302.74 - -15623.26. Is g at least as big as -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15408604?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_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: How many minutes are there between 5:44 AM and 5:01 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56*g + 16 + 110*g - 54*g - g**2 to the form w + b*g**2 + o*g and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 87 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (24\/(-10))\/1*35. Let a = n - -142. Does 29 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3819 + -3815. Suppose -68 = 3*g + 46. Let m = g - -54. What is the greatest common factor of u and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33057475 to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a + 3375*a**2 + 3*a**4 + 4 + 3*a**3 - 3375*a**2 + 0*a**3 as j + t*a**2 + o*a**3 + h*a + f*a**4 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.01 (b) -114 (c) 2\/13 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -5*y**2 + 17. Let m(s) = 590*s. Determine o(m(f)).\nAnswer: -1740500*f**2 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 9:59 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 61 + 23 = 0. Let w = -3 - y. What is the hundreds digit of 3072\/w - 2 - (-2)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**2 + 19550*n + 19110125 = 0.\nAnswer: -1955","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*x + 71 + 61 = 0 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 6*q**2 + 10*q - 15. Suppose -3*g = -t, 18*g - 13*g + 34 = -4*t. Let o(r) = -r**3 - 5*r**2 - 9*r + 14. What is t*o(l) - 5*c(l)?\nAnswer: l**3 + 4*l - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.59 times -199?\nAnswer: -316.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -5*j**3 - 139*j**2 - 215*j + 466. Calculate q(-26).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 + 30.5. What is the third smallest value in m, -4, -1, 0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -847206 divided by 27?\nAnswer: -31378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 156407 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16686 + 16673. Let g be (-4)\/(-14) + (-1)\/(-21). Let b = -0.6 + 0.1. Put 3\/4, b, g, n in increasing order.\nAnswer: n, b, g, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2668061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-1\/4)*p))**(1\/72)*(p**6\/p)**0 assuming p is positive.\nAnswer: p**(1\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - -21. Suppose 3*f - 5*x - 32 = 0, -3*f + n = -5*x + 3*x. Suppose c + f = 4*c, i - 93 = -2*c. What is the highest common factor of i and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - j - 892. Let c = -173 - -27. Let s = c - j. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-400 + -4)\/(-4) + (-10 - -11) is divided by 19?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -8*y**5\/5 - 7*y**4\/4 + 56*y**2 + 62. Find the second derivative of r(v) wrt v.\nAnswer: -96*v**2 - 42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2420 + 12201400?\nAnswer: 12204320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 42843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 12:56 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50 + 2612. Is d less than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4*i + 4 = 2*y, -2*i + 1 = -3*y. Let o = y + 6. Suppose 4*n - 2 = 2*n. Solve 2*m - n = -o*z + 12, -3*m - 2*z + 7 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 876.161 micrometers to centimeters.\nAnswer: 0.0876161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 13069 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 9.7. Which is the smallest value? (a) -2\/9 (b) q (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 4*p - 22. Determine c(-3).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.472 - -0.172. Let p = -146 + 727\/5. Which is the fourth biggest value? (a) -0.4 (b) p (c) u (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s. Let z(u) = 36*u. Suppose 13*t - 9*t = 144. Let o(x) = -3 + 3 + t*x - 34*x. Let w(n) = 80*o(n) - 5*z(n). What is d(w(r))?\nAnswer: -20*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - 3*t - 5. Let a(d) = d**2 - 2*d + 1. Let o(u) = 2*a(u) - q(u). Let p(c) = 4*c**2 - 4*c + 22. Calculate -10*o(x) + 3*p(x).\nAnswer: 2*x**2 - 2*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, d: 5, i: 10, v: 1}. What is prob of sequence dv?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -1\/240*l**6 + 0*l - 4 + 1\/80*l**5 + 0*l**2 + 0*l**4 - 2\/3*l**3. Let m(t) be the third derivative of f(t). Factor m(a).\nAnswer: -3*a*(a - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 558 and 11756?\nAnswer: 3279924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1101, -1368, -1599, -1776, -1881?\n\"Answer: 3*g**3 - 288*g - 816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4545 and 20705.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/5))**23\/(r**(-5\/7)\/((r*r\/(r**(-3\/5)\/r))\/r)) assuming r is positive.\nAnswer: r**(438\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*d**3 + d - 17*d**3 - 3*d**2 - 4*d - 18*d**3 to the form x*d**2 + l*d + q*d**3 + j and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -20*w. Let z(m) = 27*m**2 - 4. Determine z(b(l)).\nAnswer: 10800*l**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 8 - 7*t + t**2 - 11*t**2 + 11*t**2. Let a be i(6). Let c be 7*-1 + 41 + -29. Solve -a*k = c + 3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -255970*b**3*d**3 + 9*b**3*d**2 - 8*b*d**3 - 5*b*d**2 + d**3 + 46181 wrt d.\nAnswer: -1535820*b**3 - 48*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 + 1310.\nAnswer: 1310.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 168.905 litres?\nAnswer: 168905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38*q**3 - 5*q**2 - 85*q wrt q.\nAnswer: -228*q - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24100 - 35329 = 1987*x + 792*x + 176786 for x.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2*-1750646\nAnswer: -3501292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/392 and -9\/20?\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i + 0 + 0 + (-4 + 3 - 1)*(3*i + 3*i - 4*i) + 31*i - 9*i - 29*i + (0 + 0 + 2*i)*(3 - 1 - 1).\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 1 + -9 + (39 - 36) + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(605) + 1)**2 - (-4 + (sqrt(605) + 1 - sqrt(605))) - -1*sqrt(40)\/sqrt(2)*6.\nAnswer: -1815 - 54*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7b9 + 2ca94?\nAnswer: 2d46d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -72 (b) 1\/2 (c) 1 (d) -259 (e) 155\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7236248 (base 9) in base 4?\nAnswer: 32232332300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and -1.0073.\nAnswer: 2.9927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = c - 7, 0 = -6*b + b - c + 13. Which is smaller: -3 or b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v*v\/(v\/(v\/((v\/(v\/(v*(v\/(v*v**0))\/v)))\/v))*v)*v))\/v*v**(-20))\/(v**(-3\/2))**(-9))**(4\/29) assuming v is positive.\nAnswer: v**(-146\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -1\/6, -2\/15, 2\/5, 1.7 in decreasing order.\nAnswer: 1.7, 0.5, 2\/5, -2\/15, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 518860 and 48.\nAnswer: 6226320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1030333133 (base 4) to base 12.\nAnswer: 1325bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*y + 13. Let p(d) be the third derivative of -1\/60*d**5 - 1\/12*d**4 + 2*d**y + 0 - 1\/6*d**3 + 0*d. Factor p(g).\nAnswer: -(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3452602?\nAnswer: 2, 113, 15277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.533 - -0.533. Which is the closest to -0.1? (a) 53\/16 (b) w (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppppvafpvyyyfpefyf. What is prob of sequence ye?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5085 - -8165. List the prime factors of b.\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5269429 is divided by 24?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/190367825 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40.067 + 40. Round v to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**2 + 308. Let q(u) = 97455*u. What is q(j(p))?\nAnswer: -194910*p**2 + 30016140","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 6*k + 9. Let b(g) = g. Let t(d) = -5*b(d) + p(d). Let s be t(-5). Find the second derivative of 4*y**s + 2*y**4 - 3*y**4 - 4*y + y wrt y.\nAnswer: 36*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - (22 + 2))*18\/(-8). Suppose 4*n - 2*p = x, -n = -2*p + 3 - 12. Let m be 4\/6 - 28345\/n*-2. What is m rounded to the nearest 100?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75, 1\/4, -2\/91889, 2\/5.\nAnswer: -75, -2\/91889, 1\/4, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 131*c**3*s**2 - 34*c**2*s**2 + 401509*c*s**2 - 2*s**2 wrt c?\nAnswer: 786*c*s**2 - 68*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) + 5 + (1*sqrt(65))\/sqrt(5))**2 + 5*((sqrt(13) - (sqrt(13) + -1)) + 5)**2*1.\nAnswer: 50*sqrt(13) + 530","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zkkq when four letters picked without replacement from eppeknkeqpzeke?\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41463879?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, e: 3, h: 3, b: 3}. Give prob of sequence bhbe.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4144*578\nAnswer: -2395232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -124 (base 5) to base 14.\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + (18\/(-4) - 3\/(-2)). Let k be ((8\/6)\/j)\/((-2)\/(-6)). Sort -1\/2, -0.2, k, 0.3 in decreasing order.\nAnswer: k, 0.3, -0.2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/(sqrt(7) + sqrt(343)*-3 + sqrt(7)) + (2*sqrt(567) + sqrt(7))*4.\nAnswer: 1443*sqrt(7)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 401376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s\/(s**(-1)*s))\/s**0)**(-50) assuming s is positive.\nAnswer: s**(-150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 15a0b8 + 17?\nAnswer: 15a0d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**1*n)**(10\/3)*(n**(-4)\/n)\/n**(2\/7)*(((n\/(n*n*n**(2\/5)))\/n*n)**25)**(-10\/17) assuming n is positive.\nAnswer: n**(6653\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 615105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 30*k - 163. Let d be l(6). Suppose 2*q - 23 = -y, -q + 10 = -0*y + y. Let c = d - q. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3481, -6959, -10437, -13915?\n\"Answer: -3478*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20169*c*y + 130*c - 2357045*y wrt c.\nAnswer: 20169*y + 130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**3 - 13 + 35 - g - 14 as w*g**2 + v*g + m*g**3 + n and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5709, 19084, 41405, 72678, 112909, 162104?\n\"Answer: y**3 + 4467*y**2 - 33*y + 1274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/((4 - 0) + (-187)\/46). Suppose -v + 142 = -h. What are the prime factors of v?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34\/33 + 4\/11. Let g = 0.6062 - -126.2438. Let r = g - 127. What is the closest to -1 in q, r, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/(-1 + 2) - 0. Suppose i + q = 4*h, -i = 3*i - h - 9. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 31 - 2277?\nAnswer: -2246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(1885\/(1102\/(-38))*2\/(-4)).\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -776\/2365 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*g = 26*g. Is g + -2 - 3\/(6\/(-4040)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - q = 322 + 164, 0 = 3*q + 9. Does 25 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0578*-0.2.\nAnswer: 0.01156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15055933.\nAnswer: 47, 320339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3*u = -6. Let g = -50 - -53. What is the second derivative of 5*b**3 - g*b**u + 4*b + b**4 - 2*b**3 wrt b?\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 5:57 PM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -q**5\/90 + q**2\/2 + q. Let o(z) be the first derivative of u(z). Factor o(v).\nAnswer: -2*v**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80, 280, 610, 1070, 1660, 2380?\nAnswer: 3230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -149.75*2.677\nAnswer: -400.88075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4.2 times 0.06\nAnswer: 0.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 37*h**3 - 9*h**2 + 9*h + 14. Let f(a) = 8*a**3 - 2*a**2 + 2*a + 3. Let z(g) = 14*f(g) - 3*l(g). Let u(b) = 4*b**2 - 6*b + 1. What is u(k) + 4*z(k)?\nAnswer: 4*k**3 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 57*j = 59*j + 28, -74 = 12*d + 3*j + 32 - 34 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-10)\/5*(29 - 869)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f**3 - 37*f**2 - 52*f + 2. What is o(-17)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 31 = 53. Let z be 45 - 1 - 8\/((-120)\/15). Suppose 0 = s + 3*f - h, 11 = -s + 3*f + z. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of 70*k**2 + 7*k - 99. Differentiate f(s) wrt s.\nAnswer: 140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -312 = -10*x + 2*x. Suppose -7*s = 4 - x. Suppose 7*v = -k + s*v + 90, 3*v = -2*k + 184. What is k rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.008 - -11.408. Let h = y + -11. Let u(o) = o**2 - 7*o + 3. Let a be u(6). Sort h, a, 0.5.\nAnswer: a, h, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1092.567473 + -334?\nAnswer: -1426.567473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -179 - -184. Suppose -d*m + 873 = 2*f, -3*f = -4*m + 715 - 12. List the prime factors of m.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -133*y**2\/2 + 102*y - 119. Differentiate i(l) with respect to l.\nAnswer: -133","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2113649, -4227271, -6340893?\nAnswer: -8454515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 8*v = 3*v - 35, 2*l + 2 = 2*v. Let w(a) = -a**2 - a + 6. Give w(l).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.6 - -2.6. Let w = -0.8 + 3.8. Let b = w - 1. Sort b, k, -0.5 in decreasing order.\nAnswer: b, k, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 73 = -242*m + 247*m, 4*m - 53 = 5*t. Let q be ((-2)\/(-3))\/((-4)\/(-138)). Which is smaller: q or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21) - sqrt(1701))*6 - (-4*sqrt(525) - sqrt(21)))\/(sqrt(24)\/(sqrt(8)*-1) - (sqrt(3) + sqrt(3)*-2)*5).\nAnswer: -27*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/(38\/(-12)))\/((-6)\/10 - 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-6)*(d**(-2\/19)\/d)\/d)\/(d**2)**(3\/13) assuming d is positive.\nAnswer: d**(-2116\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/3 - 4072*j\/3 + 94714\/3.\nAnswer: -2*(j - 23)*(j + 2059)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 14, -43.1, -0.3, -1?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33*i - 27*i**2 - 13*i**2 - 61*i**2 - 49*i wrt i?\nAnswer: -202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from cccruccdcccrcr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1578967243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**5\/2 - 459*b**4\/8 + 1983*b**3\/4 + 8157*b**2\/8 + 315*b - 150 = 0. What is b?\nAnswer: -1, 1\/4, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 44\/(-3 + (-51)\/(-15)). What is the highest common factor of 11 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 650 and 2080.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 202647*p**2 - 63*p - 27153. Let j(x) = -6537*x**2 + 2*x + 876. Let n(c) = 63*j(c) + 2*w(c). What is the first derivative of n(a) wrt a?\nAnswer: -13074*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/2*(-119)\/(-51). Let w = -11\/4 - h. Let g be ((-3)\/4)\/((-2)\/8). What is the closest to w in -2, -2\/5, g?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 7:13 PM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -16*a - 9 + 0 + 6. Let w(v) = -16*v - 2. Let j(i) = 4*m(i) - 5*w(i). Is 28 a factor of j(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4 (b) -2 (c) 5\/8 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10777*h**6 - h**3 + 2*h**2 - 4*h + 1639 wrt h.\nAnswer: -1293240*h**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 25850, 25855, 25860, 25865, 25870, 25875?\n\"Answer: 5*s + 25845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -6 (b) -1 (c) -4 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -0*f - 5*f. Let c be (-4*(-9)\/f)\/2. Let d(i) = 3*i**c - 1 - 2*i**2 + 0*i**3 + 4*i**2 + 2*i**3. Calculate d(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5634 and 64782.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 e when two letters picked without replacement from {t: 3, n: 1, g: 2, e: 3, h: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -105 + 63. Let d be 190 - ((-1)\/3)\/((-14)\/y). Suppose 13*z - 69 - d = 0. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1413*(-29)\/(-116)*2*2.\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 19*z**2 + 1. Let u be i(6). Let s = u + 569. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -5*o**2 - 265*o - 2460 = 0.\nAnswer: -41, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (1 - 1) - (45 + 36 - 125).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -2*g + 304. What is the remainder when g is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1467 + 0.10626. What is y rounded to three dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -0.3, -0.15, 1\/4, -5775?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 3 + 1 + (6 - -5).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 545*d - 3475 = 1975 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -2. Let t = -5.7 + p. Let d(x) = x - 7. Let m be d(6). Which is the third biggest value? (a) 2\/3 (b) t (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 2*d = -12, 2*l + 6 = 4*l - 4*d for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -2\/57143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6279708?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -32, 1 in descending order.\nAnswer: 5, 1, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (318\/(-1) - -3)*-1. Let o be (-4)\/(-14) + (-48)\/d. Let p = 19 - 17. What is the biggest value in -1\/4, p, o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.24 and -0.11939416 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 13 (b) 1\/16 (c) -3\/2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 171336?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2335 + 2339. Let k(i) be the third derivative of 0*i**3 + 13\/24*i**g + 0*i + 0 - 9*i**2 - 1\/6*i**5. What is the second derivative of k(t) wrt t?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 + 55. Suppose 2*d - k = 51. What is the greatest common divisor of d and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87591991?\nAnswer: 87591991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/84 and 5\/7522.\nAnswer: 315924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 (base 13) in base 10?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 16*u - 6. Let l(f) = -17*f + 7. Let i(t) = -5*l(t) - 4*q(t). Let j(r) = -1. Let x(w) = i(w) - 2*j(w). List the prime factors of x(2).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 131 - 131.000000207. Round i to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11333 - 332?\nAnswer: -12105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -564, -2251, -5064, -9003, -14068, -20259, -27576?\n\"Answer: -563*g**2 + 2*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4575*o**3 - 4*o**2 + 2*o**2 + 1157*o**3 + 2*o**2.\nAnswer: 5732*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5501322984 to the nearest integer?\nAnswer: 1765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 0.1355 (c) -1.2996\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 38*f - 180. Let k be t(5). Solve 5*s = 4*h + 28, -19*h - 5*s + k = -14*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - 23*j + 121. Suppose -41*z = -51*z - 200. What is the remainder when l(z) is divided by 88?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/72*792\/(-27).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 13\/325 + (-620)\/(-125). Solve -4*f - 3*w = 25, f - r*w + 5 = 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218*t - 370230 = 89*t. Is t a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.1 (b) 2 (c) -2 (d) 135 (e) -4 (f) -1450\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.8 - -0.4. Let g = -56 - -59. Suppose -g*y = -75 + 72. Sort -0.3, y, p in descending order.\nAnswer: y, -0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/102 and 37\/396.\nAnswer: 6732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 74 + -69. Let q = 50 + f. Does 5 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-400*n + 398*n + 5*n**2 + 18*n**2)*(-1 + 0 - 1)*(-32 - 23 + 4) to w*n**2 + t + u*n and give u.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 61*g**2 + 143*g + 64. Is 52 a factor of m(-66)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 137344 (base 10) to base 5\nAnswer: 13343334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 64488?\nAnswer: 64488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -90, -1 in increasing order.\nAnswer: -90, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1558 - -1578. Solve -25*c = d*c + 180 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 655707470 a multiple of 9130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5857, 11714, 17571?\nAnswer: 23428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 11*g**2 - 2*g - 1. Let x be 2*(5\/(-2))\/5. Let z = x - 0. List the prime factors of i(z).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 195 and 1495.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135 divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(7)*5 + 5 - (-2 + 5*sqrt(700))**2)*3.\nAnswer: -52506 + 615*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -86*c**3 + 4*c + 3. Let g be -12*((-10)\/(-15) - 1). Let i be y(g). Let p = -3005 - i. What is p rounded to the nearest 100?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240472 at most as big as 240475?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-250)\/36 - -81*3\/(-162)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, b: 3, q: 2, w: 3, f: 6, d: 4}. What is prob of sequence nbf?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 169*c + 2040. Let n be r(-12). Solve -5*k - 6 = 3*d - n*k, -3*d + 5*k = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 6*l - 8. Is t(15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, w: 6, b: 1, p: 2}. What is prob of picking 1 e, 1 b, and 1 w?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 5*b - 255, -23*d + 22*d + 5*b + 27 = 0. Calculate the remainder when 905 is divided by d.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -345, -336, -323, -306, -285, -260?\n\"Answer: 2*d**2 + 3*d - 350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 42821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 35321304 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 4\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = l - 3*v, 5*l + 2*v = 5 + 1 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 0 - (12 - 15). Let l(k) be the second derivative of -3\/2*k**2 + 3*k + k**3 - 1\/6*k**q + 0. Let p(m) = -2*m**2 + 5*m - 2. Give -3*l(s) + 4*p(s).\nAnswer: -2*s**2 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 36\/(-126) - (-2)\/7. What is the nearest to 2\/3 in -1\/2, f, -2, -9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1122 (base 6) in base 5?\nAnswer: 2031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**17\/p)\/p)\/(p\/(p*p**26*p*p)) assuming p is positive.\nAnswer: p**43","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 75.2 - 75.424. What is c rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - 1) + -2 + 4. Let g = 0.34 - 0.04. Let q = 13 + -11. Which is the closest to n? (a) q (b) 0.1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 2:08 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1113*x**4 + 3*x - 7*x - 2 + 1117*x**4 + 3*x**3 to the form w*x + q + v*x**3 + n*x**4 + p*x**2 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2834 by -233930.\nAnswer: 1417\/116965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-581)\/(-249)*-1*36\/(-42)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 112 + -112. Let r be (0 - s)*11\/(-22). Solve 2*z - 3*z + m + 1 = r, 2*m - 4 = 5*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -10. Factor b*r**3 - r**3 + 2*r**3.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -6. Let t(p) = 0*p**2 + p**2 + p**a. Let w(b) = 46*b**2 - 83*b**2 + 39*b**2. Determine t(w(u)).\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 60\/(-18)*(-12)\/10. Suppose -a + 485 = n*a. Calculate the remainder when a is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1169990\/45 - 10\/(-45). Let r be 1\/(2\/(-9))*p. What is r rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.19, 0.1, 3, -13, -5 in decreasing order.\nAnswer: 3, 0.1, -0.19, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 122 - -2000112332?\nAnswer: 2000113004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 16786*j - 4893. Let n(w) = -1865*w + 543. Let t(r) = 3*i(r) + 28*n(r). Find the first derivative of t(l) wrt l.\nAnswer: -1862","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - z + 484 = -2*z, 4*z = 2*d + 998. What is the tens digit of (-9)\/15 + d\/(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 61115265, 61115263, 61115261, 61115259, 61115257, 61115255?\n\"Answer: -2*s + 61115267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21752752?\nAnswer: 2, 7, 167, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 187669683 to the nearest integer?\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 105332 = -4*i, -68*m - 131650 = -73*m + 2*i. List the prime factors of m.\nAnswer: 2, 3, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 7*c - 1. Let h(x) be the first derivative of x**2\/2 - 67. Let u = -10 - -5. Determine u*h(n) + v(n).\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 15*f**3 + f**2 - f. Let u be h(1). Suppose 17*d = u*d. Suppose 0*j - j + 4*x = -2, -2*j = -4*x - 4. Solve w - 2*w - j = d for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9869401.\nAnswer: 17, 580553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 44211860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/42)\/(((-59)\/(-70))\/(-59)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/33))**17*d**16*(d*d\/(d*d*d\/((d\/((d*((d\/d**7)\/d)\/d)\/d))\/d))*d)\/d)**15 assuming d is positive.\nAnswer: d**(3625\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 e when four letters picked without replacement from enneneneee?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7195720.\nAnswer: 2, 5, 7, 31, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-143 - -147 - (1 - -12)) + -3 + 10 + -73\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 173*(3 - (0 + (-24)\/2)). Suppose -h - 3909 = -3*u + 3*h, -h = 2*u - t. Let a = -18163\/14 + u. Find the common denominator of a and -91\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-531.8196.\nAnswer: 53.18196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 29 = 3*a, 0 = 2*t + 4*a - 2*a - 34. Suppose -8*x = -7*x - t. Solve -2*k = -6*k - 3*j + 29, 3*j = 5*k - x for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 45*s + 20*s - 47 + 38*s. List the prime factors of k(4).\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 6 = -z + 5*o, 4*z - 5*o = 18. Suppose 2*h - z*i = -0*i + 16, 0 = -h + 4*i + 11. What is the remainder when h is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0409 + -0.7691. What is the smallest value in 1\/9, c, 3\/8?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 4*m - 450, 3*s + s - 5*m - 897 = 0. List the prime factors of s.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -128 in -579, 8, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -170 + 0.8442464\nAnswer: -169.1557536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c**3 + 7*c**2 + 3*c + 3. Let t(h) = -5*h**3 - 8*h**2 - 3*h - 4. Let k(a) = -4*d(a) - 3*t(a). Calculate the lowest common multiple of 2 and k(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u*u*u**(-7)))*u**2)\/(u*u*(u**(-1\/4)\/u)\/u*u)**(-2\/69)*(u\/u**1)**(14\/9)*(u\/(u*u**(-2\/5)*u))**32 assuming u is positive.\nAnswer: u**(-5101\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by 648671.\nAnswer: 15\/648671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 3, -3, -7 in increasing order.\nAnswer: -7, -3, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 100*b + 188. Calculate z(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 2*l - 14 = 0, -8*l + 38 = 3*r - 12*l. Suppose 0 = a - 0*a. Solve 0 = 2*n - r - a for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (38*(-2)\/(-10))\/(2\/10). Suppose -2*v = -5*a + 2071, 5*a - 5*v - 2069 = -2*v. Let g = a + u. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11995 + 11995.4. Let m = -0.9 + 1. Which is the nearest to m? (a) -7 (b) t (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2 = 4. What is the tens digit of (319\/33)\/(g\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 6*r. Let g(o) = 4*o**2 + o + 1. Let m be g(-1). Let k(c) = -c**2 + 5*c. Suppose w = 2*w + 3. Calculate m*k(s) + w*v(s).\nAnswer: -s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/4 (b) 2\/15 (c) -2\/29 (d) 1.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 + -19. What is the third derivative of -5*o**l + 0*o**6 - 2*o + 2*o + 7*o**6 wrt o?\nAnswer: 840*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -3*f - 1110, r + 23*f = 19*f + 199. Suppose r*s - 208*s - 33 = 0. Solve s*w + 0*m - 5*m = 5, 3 = w - 2*m for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -8*27\/(-12)*-2. Let b be l\/(-90) + (-40498)\/(-5). Round b to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 654*q**3 + 587*q**3 - 1237*q**3.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 8*t**2 + 11*t - 13. Suppose 3*z + 4 = 1, 6 = 4*q + 2*z. Let l(r) = 6*r - 3. Let j be l(q). What is the units digit of g(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/13))**(-5)*f**(-2)*f\/(f\/(f*f**(-2\/7))*f) assuming f is positive.\nAnswer: f**(-173\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**2 - 2*u**2 + 0*u**2)*(-2*u + 3*u - 2*u) + 2*u + 21*u**3 - 18*u**3 - 26*u**3.\nAnswer: -25*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/9 - (3 - -1 - 6). What is the closest to -0.043 in 1\/7, d, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27098, 27514, 27926, 28334?\nAnswer: 28738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5165 - -72209\/14. Let r(c) = 40*c**3 + c**2 - c. Let d be r(1). Find the common denominator of m and 2\/d - -2 - -1.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -217256 by 252.\nAnswer: -54314\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -730, -738, -752, -772, -798?\nAnswer: -830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 0)*(-5*l + 0*l + 3 + 4*l).\nAnswer: 3*l - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (22 + 8 + -8 - (0 - -4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -1 (c) -15 (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58595 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 23830634, 47661260, 71491886, 95322512, 119153138?\n\"Answer: 23830626*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4500, 3921, 2958, 1611?\n\"Answer: -192*v**2 - 3*v + 4695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1257\/5 + -251. Suppose -4*f - 3*v + 6*v = 18, 0 = -4*v + 8. Let s = -1 + 1.2. Which is the third biggest value? (a) f (b) t (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -197 - -195. What is the remainder when 246 is divided by (1 + p)\/(-1*(-4)\/(-72))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1221?\nAnswer: 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2266506820.\nAnswer: 2, 5, 67, 1691423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 6:17 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77 and 84770259.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2481)\/(-9) - 2\/3. Is 4 a factor of (4\/5)\/(22\/u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 9:13 AM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -6, 0.4, -0.2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 73351 to the power of 1\/2, to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 42945 divided by 2863?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.3, -17\/2, 932, -0.3, 3 in decreasing order.\nAnswer: 932, 3, 1.3, -0.3, -17\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1053723 and 6236901.\nAnswer: 230765337","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3424344103 - 140?\nAnswer: -3424344243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 11*n + 224. Let z be (1 - 35\/25)*35. Is f(z) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -44 - -5113?\nAnswer: 5025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 795\/(-6)*24\/(-30). Let k = d - 70. What is the greatest common factor of k and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 25.7418891 microseconds?\nAnswer: 0.00000000029793853125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v + 2. What is w(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*u + 0*u = -344, -4*u = 5*s - 857. Let f = s + -16. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (216*l - 8654 + 8654)*(-l + 3*l - 3*l) + (-2 - 1 + 1)*(-2 + 2 + 2*l**2) as d*l + f + o*l**2 and give o.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 620407 is divided by 49?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 11371000 to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*c**3*z**3 - 2*c**3 - 136549*c**2*z**5 - 48*c**2*z + c - 1108*z wrt z?\nAnswer: 78*c**3*z - 2730980*c**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o + 2*o + 17*o. Let f(v) = 13*v. Determine w(f(a)).\nAnswer: 286*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 3*c**4 + 1813875*c**3 + 18138477*c**2 + 16324605*c = 0?\nAnswer: -604615, -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.7 + -0.3. Let k(u) = -u**3 + 3*u**2 - u - 2. Let z be k(3). Let p be z\/(-3) + 10\/(-5). Which is the smallest value? (a) p (b) h (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -k - 0. Let j(u) = 13*u + 3. List the prime factors of j(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 531 divide 340371?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14792 + -14781. Let l(s) = 2*s**3 - 3*s**2 - 2*s - 1. Let j(r) = 10*r**3 - 16*r**2 - 11*r - 5. Give w*l(h) - 2*j(h).\nAnswer: 2*h**3 - h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + -6 + 9 + -1. Suppose -2 = v - r*b, 0*v - 4*b = 4*v + 8. Let k(c) = -c**3 - 2. Let s be k(v). Solve -n + 1 = s for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 20 = 0, 7*w - 28*j + 25 = -26*j for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/((-4)\/18*-3). Suppose 5*h + r*z + 21 = 3, -2 = 2*z. What is the units digit of (-28)\/h + 1\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (0 + sqrt(35)\/(sqrt(7) - sqrt(252)*1) + sqrt(10)\/(sqrt(128) + sqrt(128)*4 + sqrt(128) - sqrt(128) - sqrt(2)))**2)*-1.\nAnswer: -1156\/7605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 12*t**2 - 15*t - 16. Let q = -102 + 89. What is the remainder when 25 is divided by u(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16660 less than or equal to -0.043?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eszrs. What is prob of picking 1 r, 1 e, and 1 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -40*v**6\/3 - 24*v**5 + 275*v**4\/4 + 160*v**3 + 90*v**2 - 947. Determine a so that s(a) = 0.\nAnswer: -2, -3\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1458680810.\nAnswer: 2, 5, 181, 805901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -135\/2 + 66. Let k be 1 + 7 - (-13824)\/(-1792). What is the closest to k in d, 5, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from djjdvddv. Give prob of picking 1 v, 1 d, and 1 j.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 109786183 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277 is divided by 113?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.7 or -1370?\nAnswer: -1370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41\/198 + -7\/18. Put -18, 5, a in increasing order.\nAnswer: -18, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5 - 15 = 0. Let n = s + -4. What is the common denominator of -31\/2 and n\/45 + 2948\/(-960)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/3 + 213408*b - 8322574\/3.\nAnswer: -2*(b - 320099)*(b - 13)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -240, -287, -332, -375?\nAnswer: -416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.011 - 0.089. Is -0.15 > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.009 + 0.109. Which is the third biggest value? (a) 2 (b) 4 (c) 0.5 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + i - 6*i = -3, 5*d = 2*i - 18 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*o - 13*o - 7*o to the form i*o + f and give i.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 8 - -6 - -10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 5*v**2 + 5*v + 3. Suppose 5*c + 1 = -19. Let n be o(c). Let p(z) = -5*z**2 + 1. What is p(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50970 + 291003 = 3*o + 3*h, 0 = 4*o + 2*h - 320042. Let z be (o - 8) + (-6)\/3. Round z to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**6 + 16923*b**5*o + 171*b**2 + 2*b + 9*o wrt b?\nAnswer: 240*b**3 + 1015380*b**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.45 + -0.09. Let u = 0.14 - 0.2. Let t = w + u. What is the second smallest value in -2, 0.2, t?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-150)\/(-125)*(-5)\/39?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide -4 + 7 - -2 - (0 - 1350)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(3)*1)**2 + 0 - (sqrt(3) - 1*sqrt(27))) - (1 + (sqrt(192) - (sqrt(192) + -1))**2 + 2))*5.\nAnswer: -95 - 50*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -0.453?\nAnswer: 0.1359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 593589.\nAnswer: 3, 17, 103, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*s - 79*s = 192. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 25819 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -82 - -81.9818. Round i to 3 decimal places.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/(-3) + 3)*-3. Let i(w) = -6*w**3 - 2*w - 1. List the prime factors of i(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 2*n + 3. Suppose -4*o + o = -6. Let z be s(o). Let p = 7 - z. Solve 0 = -2*t + q, -2 = -q - p for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11 + (-29706361)\/(-34))\/((-3)\/(-6)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 168 - 51 = -41*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56846 is divided by 68.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 148, 5, 1\/6 in increasing order.\nAnswer: 1\/6, 5, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -7*u**3 + 8*u**2 + 9*u + 2. Let a(i) = 4*i**3 - 4*i**2 - 4*i - 1. Let s(d) = 5*a(d) + 3*o(d). Is 6 a factor of s(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162813?\nAnswer: 3, 7, 7753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j - 29547 = 65253. Is j a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 7 = -3*z. Let o(j) = -j**3 - 8*j**2 - 16*j - 45. Calculate the remainder when 71 is divided by o(z).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.91 - 121.09. Let g = 124.057 + r. Let o = g - 0.056858. Round o to 5 dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -346 in 4, -8, -0.2, 5, 62, 4\/3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, q: 1}. Give prob of picking 1 f and 1 q.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, a: 11, d: 1}. What is prob of picking 2 n and 2 a?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/128)\/((-49)\/112).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 6*y - 7. Let f be -3 + 20\/(4\/2). Let r be b(f). Let k = -315 + 318. Solve s - 2*s + k = r for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-3)*9\/(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = t + 2*t + 5*m, 2*m - 22 = 4*t. Let h(u) = 26*u**2 + 8*u + 2. Let k be h(t). What is k rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2 - 3331975*p + 33320250.\nAnswer: -5*(p - 10)*(p + 666405)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -73963900 to the nearest one hundred thousand.\nAnswer: -74000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1935782, -3871469, -5807156, -7742843, -9678530?\n\"Answer: -1935687*k - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -563*r = -357 - 206 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47 + -47.2. Which is the second smallest value? (a) h (b) 0 (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-15))\/((-8)\/4)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**2 + 7*k + 2. Let j be 4\/10 - 23\/(-5). Let t(v) = 9*v + 9. Let q be t(-8). Let l = q - -57. Let s(r) = -2*r**2 + 6*r + 2. Give j*b(f) + l*s(f).\nAnswer: 2*f**2 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1*sqrt(2048) - (((sqrt(126) - 1*sqrt(126)) + sqrt(126) + sqrt(126))\/sqrt(9))\/sqrt(7)) + 5.\nAnswer: 4 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 550 + 2*g + 20*g**2 + 0*g**2 - 408 wrt g?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 123 + -125. Which is smaller: c or -3\/20?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -11680, -23361, -35042, -46723?\n\"Answer: -11681*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 8:48 PM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 21 - 175 = 3*j, -209 = -3*g - j. What are the prime factors of g?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2804, -23197, -79062, -188297, -368800, -638469?\nAnswer: -1015202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18380 - -18448. What is the greatest common divisor of 16864 and f?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177 divided by -5?\nAnswer: -177\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10\/11 + 19\/33. Let m = -128 - -123. Which is the nearest to -2\/5? (a) -4 (b) u (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11723 and 0.02?\nAnswer: 234.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0225 + 0.0225. Which is the third biggest value? (a) 4 (b) 11 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u\/(u*u**1))\/u)\/u)\/u)**(-3\/26)\/((u*u*u\/(u*u\/(u*u**(1\/4)*u))*u*u)\/u**7) assuming u is positive.\nAnswer: u**(109\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 21.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2 + sqrt(171)) + sqrt(19) + -2*sqrt(19)*6 + sqrt(304)*-4.\nAnswer: -45*sqrt(19) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/15 + 25906*w\/15 - 13808.\nAnswer: -2*(w - 12945)*(w - 8)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in -2\/3, -92, -0.3, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*f**2*t**4 + f**2*t**3 + f**2*t**2 + 75*f**2 + 14*f*t**4 - t**2 wrt t?\nAnswer: -48*f**2*t + 6*f**2 + 336*f*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/4 + 19\/(-2). Let i = o - -14. Let h(d) = -2*d + 0 + 0 + i*d. Let c(y) = y**2. Calculate h(c(u)).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -2\/335607?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.852 rounded to zero decimal places?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -23747 and 7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3390?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 746, 456439, 0.4?\nAnswer: 746","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -667 + 31334 = -701*d + 4029 for d.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*b + 87 = -3*c, -5*c = 4*b - 134. Suppose -4*x + b = 11. Find the second derivative of 3*f - f**x - f**5 - 4*f wrt f.\nAnswer: -40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20 + -1 + 0\/1. Differentiate -2*h**2 + 0*h**2 - p*h + 19*h + 1 with respect to h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 241309115 to the power of 1\/2, to the nearest integer?\nAnswer: 15534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.2522 to 0 dps.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1617?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-22)\/(-5) + 6\/10. Let l(i) = i - 2. Let a be l(k). Find the first derivative of -2*p**3 + 2*p**3 + p**a - 2 wrt p.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -296*k**2 + 167*k**2 + 164*k**2 + (-4*k**2 + 2*k**2 + 3*k**2)*(5 + 2 - 4).\nAnswer: 38*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125560195.\nAnswer: 5, 97, 258887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -66. Let i(t) = -t + 28. Let d(r) = -5*i(r) - 2*o(r). What is d(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -13, 83, -5, 16 in increasing order.\nAnswer: -13, -5, 2, 16, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -2. Let y(z) = z**3 - 12*z**2 + z - 14. Let q be y(12). Which is the nearest to 1\/2? (a) q (b) w (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/((-3)\/(-2 - -5)))\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 418073 is divided by 139306?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 40*l - 369. Give r(-4).\nAnswer: -529","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*t*v**3*z - t*v**2*z + 5*t*z**2 + 3*t*z + v**4*z**2 - 3*v**4 - 2*z**2 wrt v?\nAnswer: -18*t*z + 24*v*z**2 - 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 587977 is divided by 293983?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 8*y. Let t be v(-8). Suppose 3*g + 3*p - 18 = t, -3*g + 0*g = -3*p. What is the remainder when 3 is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -61\/2*k**2 + k - 153 + 22\/3*k**6 + 0*k**3 + 0*k**4 + 0*k**5. Find the second derivative of w(g) wrt g.\nAnswer: 880*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 2*m - 4, d - 2*m - 3*m = 2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/2*-4 - -74. What is the highest common factor of 14 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1481, -1477, -1479, -1493, -1525, -1581?\nAnswer: -1667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {r: 3, k: 11, f: 4}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r + 7*f - 25 = 10*f, 0 = -5*f + 5 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 3. Suppose -17 = -g*s + s. Suppose 0 = -v + b + 150, 3*v = 3*b + 2*b + 444. What is the highest common divisor of s and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -10*y**3 - 92*y**2 - 18*y = 0?\nAnswer: -9, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 4 + (5 - -3) - (0 + 27)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/11, 3, -3.8, -3, 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19434553214 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 3*i + 16 = 0. Let w be 2 + -3*i\/6. Factor 2\/7*c**5 + 0*c + 2\/7*c**4 - 2\/7*c**3 - 2\/7*c**2 + w.\nAnswer: 2*c**2*(c - 1)*(c + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f + f - 3*f**4 + (2*f + f - f)*(-2*f**3 + 3*f**2 - 3*f**2) + 4*f**4 - 5*f**4 - f**4.\nAnswer: -9*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21199994593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 70079840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 522833641?\nAnswer: 11, 47530331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -440 + 705. Let q = 453 - l. Suppose -q = -2*m - 2*m. Is m a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 229787, 459392, 688997, 918602?\nAnswer: 1148207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)*-3*-5 + sqrt(156) + 6*sqrt(156)*-1)\/((-1*sqrt(120)*1)\/(1*1*sqrt(10)))*2.\nAnswer: -20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 448 and 21.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*n**3 + 2*n**3 + 4*n**3 + (1 + 2*n - 1)*(51*n**2 + 50*n**2 + 157*n**2) + (0*n**3 + n**3 - 2*n**3)*(2 - 1 + 2).\nAnswer: 514*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -133*j**4 - 7261*j**3 + 14*j**2 - 439339485?\nAnswer: -532*j**3 - 21783*j**2 + 28*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uohohpffquffhhpfh. What is prob of sequence po?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r - 4*r**3 - r**3 + 5*r**2 + 0*r**3. Let q(p) = p**3 - p**2. Suppose 0 = 4*d + 3*x - 18, -2*d + 4*x = -13 - 7. Calculate d*q(y) + z(y).\nAnswer: y**3 - y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**3 - 4336*m**2 + 4338*m = 0.\nAnswer: -2169, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20\/31 + -362\/465. Let r(f) = -f + 7. Let s be r(12). Let h be (15\/12 + -1)*s. Which is the smallest value? (a) m (b) 0.3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -w**5\/15 + w**4\/3 + 4*w**3\/3 + 6*w**2. Let d(p) be the first derivative of q(p). Find the first derivative of d(r) wrt r.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33\/((-27)\/(-6)*(-3)\/9)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.594668t in micrograms?\nAnswer: 594668000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*y, -j = -6*y + y. Suppose 0 = -s - y*s. Suppose 0 = 2*z - 5*l + 20, 3*z - l + 2 + 2 = 0. Is z less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -777 + 1b?\nAnswer: -75a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 34027283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3805706ng in kilograms?\nAnswer: 0.0000000000003805706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - u + 3 = 0. Suppose 4*n = -3*y + 19, -n = -u*y + 4*y - 6. Solve -y*g = -g - 20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36254610.\nAnswer: 2, 3, 5, 7, 8221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 72*k - 37*k**3 + 14*k**3 - 72*k + (0*k**3 - 3*k**3 + 2*k**3)*(-1 + 0 + 2) + k**3 + 4*k**3 - 3*k**3 to v*k**2 + d + y*k**3 + i*k and give y.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1485 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: b\"What is the sth term of 500, 500, 502, 506, 512, 520?\n\"Answer: s**2 - 3*s + 502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 655993514?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) - (-4*(sqrt(192) - sqrt(192)*1) - sqrt(192)))\/sqrt(12))\/(sqrt(64)\/(sqrt(72)*-5)).\nAnswer: -30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z + 195. Let f be n(0). Suppose 13*k - f = -5*y + 10*k, y - 22 = -4*k. Calculate the remainder when y is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 655.\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 1. Suppose s = 5*n + 11 - 30, 4*n - y = 3*s. Is s smaller than 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*b + 97*b + 90*b = 102 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 90 - 98 - (2 - (5 - -78))?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*d - 2. Let p = -274\/21855 + 8\/235. Which is bigger: p or d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(242) + sqrt(242)*-1)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 6*p**2. Let o = 391 + -391. Let l(j) be the third derivative of 0*j**4 + o*j + 0*j**3 + j**2 + 0 - 1\/60*j**5. Give h(l(c)).\nAnswer: 6*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/4326 and -169\/270?\nAnswer: 194670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 613017469 to the power of 1\/2, to the nearest integer?\nAnswer: 24759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6144 and 652368?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0*x = 0. Suppose x = -5*j + j + 16. Suppose 45 = j*v - 15. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f + 37. Let o be p(17). Solve 5*v = o*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195742 is divided by 400?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a61a6 (base 11) in base 4?\nAnswer: -1310120333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4805*f**2 + 21*f - 2*f - 4803*f**2.\nAnswer: 2*f**2 + 19*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 458.07477 and -0.07.\nAnswer: 458.00477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -5*x + 4, x + 2*x - 3*g = 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -765*-38.\nAnswer: 29070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 5*d + 22, -3*x + 271*d - 10 = 275*d for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.06, -21, 4, 121, 3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 7 = c + 3*s, -c + 4*s = -7. Let i = -5 + c. Find the third derivative of 2*t**2 - 7*t**2 + 4*t**2 + i*t**6 wrt t.\nAnswer: 240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(160))\/sqrt(8))\/sqrt(10))**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/i**3)\/(i\/(i*i*i**(-3))))**(5\/13))**(3\/4))**15 assuming i is positive.\nAnswer: i**(-225\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 184 and 164404.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**2 + o**2 + 3*o**2.\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -122 - -171. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + 2*d - 1. Let f be l(4). Let g = -5 - f. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1069157?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 618353 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/5 of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 8179*x**2. Let f(y) = 3889*y. Determine u(f(d)).\nAnswer: 123701821459*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - 11. Calculate the remainder when 78\/2 - d\/(-2) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 50, -256, -764, -1474?\n\"Answer: -101*g**2 - 3*g + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1792078*i**3*n*u**2 - 9*i**3*u**3 - 2*i**2*n*u**2 + i**2*n*u + 234*i**2*n + 3*i*n - 353*n*u**3 + 2*n*u**2 - 4*u wrt i.\nAnswer: -10752468*n*u**2 - 54*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01633 rounded to three dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*t + 4 + 3*t**2 - 2*t**2 + 2*t**2 - 3*t + 2*t**3 to the form n*t**3 + l*t**2 + j*t + a and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1420, -2386, -3364, -4360, -5380, -6430, -7516?\nAnswer: -8644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3857784 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 131951?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 11:16 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 11:48 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z**3 + 473*z**2 - 156*z + 313. What is j(-158)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 390, 778, 1166, 1554?\nAnswer: 1942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 453900675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j**3 + 31*j**2 - 25*j - 3. Calculate s(-11).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -328049998*c**5 + 72*c + 153983 wrt c.\nAnswer: -6560999960*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d - 137*d**3 + 6*d**2 - 4*d + 155*d**3 + 8*d.\nAnswer: 18*d**3 + 6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + (18 - 8) + -9 + (32 - 4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 4:09 PM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*b**2*n*t**2 - b**2*n - 3*b**2*t**2 - n*t**2 - 20*n*t wrt t?\nAnswer: -18*b**2*n - 6*b**2 - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 0 + 0 + -1. Let y(b) = 2*b**2 + 14*b + 15. Let n be y(-6). Sort 1, n, q.\nAnswer: q, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -233*p**7\/42 + 9*p**4\/2 - p**3\/3 - 76*p. What is the third derivative of w(i) wrt i?\nAnswer: -13980*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 290 = 25*n + 15 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 13*l**2 + 13*l - 4. Suppose 5*r - 33 = -3*n - 13, -12 = -3*r + 2*n. Calculate the least common multiple of r and g(-14).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 48\/143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 14, m: 5}. What is prob of sequence mmw?\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-9)\/(-27))\/(6\/9))\/(2\/(-48))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 77 + -15. Factor -120*g + 118 + 65*g**2 - 5*g**3 + u - 120*g.\nAnswer: -5*(g - 6)**2*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3061, 1920, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k = 10*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -1361*k + 305. Let h(u) = -272*u + 61. Let y(z) = 2*b(z) - 11*h(z). Is y(14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 9 = 2*v. Let b(q) = q**3 - 5*q**2 + 7*q - 5. Give b(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 13, l: 2, w: 3, q: 1}. Give prob of sequence lww.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-54)\/9*1*2\/8\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -4 - 3) + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -533311?\nAnswer: -533315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2792)\/28 + (-2)\/7. Suppose 5*f + 2*v = 505, 3*f + 5*v - 147 = 156. Let h = f + z. Which is bigger: h or -2\/27?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.34 and -159.3.\nAnswer: -532.062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -213.1 + 213.3. Which is the closest to -1? (a) 0.02 (b) s (c) 0.18 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-124) - (174\/522)\/((-1457)\/(-96))?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 9 + 74*d - 4 - 16*d - 5. Let l(a) = -2*a. Determine l(p(t)).\nAnswer: -116*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 3*n + 48, -277 = -4*m + 14*n - 9*n. Find the common denominator of -74\/21 and 3 - -34*(-6)\/m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1225 by 245.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p, y - 3*p + 1 = 2*y. Let m be (25\/4)\/(y\/(-4)). Let w = m + 49\/2. Which is smaller: w or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.93 + 152.17. Let p = 164 - y. Let t = 6.4 + -6. What is the nearest to -1 in 0, p, t?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1199, 10, -5, -21, 0, 3 in decreasing order.\nAnswer: 1199, 10, 3, 0, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((1 - (2 + 0)) + 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3973 = 3*g - 2486. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 17. Suppose c + 8 = -2*d, -x*c - 17 = -2*d + 7*d. Suppose 0 = c*u - 5*u + 45. What is the greatest common factor of u and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4 = -0. Let w(a) = -7*a. Let t(i) = -7*i. Let n(o) = h*t(o) - 3*w(o). Let l(g) = -4*g**2. Determine n(l(u)).\nAnswer: -28*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5722 or -5678?\nAnswer: -5678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.68415 rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and 0.140968724661.\nAnswer: 0.140968724661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5.9, -3\/8, 0.2, 0.04, -1\/2 in ascending order.\nAnswer: -5.9, -1\/2, -3\/8, 0, 0.04, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 771808 at most 874?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 27120524 a multiple of 1007?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1164166 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 12*f**2 - 7*f - 264. Let n be w(-13). Put n, 0.3, -0.4 in descending order.\nAnswer: 0.3, -0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 974, 5780, 14408, 26858, 43130, 63224, 87140?\nAnswer: 114878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1522, -3098, -4674, -6250, -7826, -9402?\nAnswer: -10978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -2\/7, 21941\/3, 2\/9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-3))**(1\/47)\/(r\/(r*(r\/(r**(-4)\/r))\/r)*r**10) assuming r is positive.\nAnswer: r**(-231\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) -13 (c) 1\/3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-14)*15\/270*210?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 289431, 578862, 868293, 1157724, 1447155?\n\"Answer: 289431*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -15, -31, -61, -111, -187?\n\"Answer: -z**3 - z**2 - 6*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (3 - 0 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 8:03 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -808 - 947 = 3*v. Let s = 165 + -578. Let h = s - v. Is 25 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of v**4\/4 - 7*v**3\/3 + 5*v**2\/2 + 8*v + 6. Let i be -1*(-1 - (4 + 1)). Let o be m(i). Solve 2*s - j + 2 = -o*j, -j = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**2 + 91 + v**2 - 5*v**2 + 72 + 2*v**2.\nAnswer: 2*v**2 + 163","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-15) - 153\/357 - 6*6185\/630?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 212001606?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 24*a + 85. Let v be h(20). Solve 2*r + 4 + 21 = -v*w, -w = r + 8 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/14 and -65\/42847588.\nAnswer: 42847588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.26 times 0.070779\nAnswer: -0.01840254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 + -1. Calculate the remainder when w is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 8*b = 7*b + 4412, -5*v + 2*b + 4421 = 0. Let a = -868 + v. What is the highest common factor of a and 585?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(-5) - (-2715752)\/130 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-560)\/(-97755) + 6\/171?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + 95\/30*-1. Which is the fourth biggest value? (a) -4 (b) 2 (c) 1 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (154\/(-13475))\/((-114)\/(-285)).\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2204355.13 to the nearest one hundred.\nAnswer: 2204400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205524 is divided by 68363?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 846, 837, 814, 771, 702, 601?\n\"Answer: -z**3 - z**2 + z + 847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 111456 + -79237. Does 13 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 840303\/(-78) + 3 - -5 - -5. Let u = t + 10764. Calculate the common denominator of u and 121\/12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-69)\/24 - -3)\/((-46)\/(-276))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 4*v = 4, 3 = -h + 3*v - 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 9437277 and 66060936\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, x: 1, z: 6, j: 1, a: 2}. What is prob of picking 4 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00057 to five decimal places.\nAnswer: -0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 8*i + 7. Let p be w(7). Suppose -4*x = p, -x - 60 = -5*l - 6*x. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 48 = -3*j, 2*j - 3*o - 18 - 27 = 0. Suppose -5*i + 5*y = -0*y + 10, -4*y + 8 = 4*i. Let m = i + j. Solve 2*a - 7 = d, -3*a - d + m = -0*d for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -993 - 1a41?\nAnswer: -2924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/25 (b) -3 (c) 49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*h - 3*h. Let y be 12\/h*(-15)\/(-2). What is the units digit of (4\/y)\/((-4)\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 536 and 138757?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 - -32. Let n be (-30)\/(-40) + 1\/u. Let s = -0.02 - -0.02. Which is the closest to 9? (a) s (b) n (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 8 = 0, -2*m - 58 - 26 = -4*j. Let q = -66 - 99. Let p = -69 - q. What is the remainder when p is divided by j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7\/2, -2\/21, 5?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60\/460469 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3446692414.\nAnswer: 2, 11, 156667837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73335757.\nAnswer: 11, 41, 113, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1367 is divided by 86?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {s: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -5*s, 7 + 13 = 2*t - 5*s. Sort t, -3, -9, 2 in decreasing order.\nAnswer: t, 2, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 0.3, 0.017, -1\/6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 11:48 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*b - 12*b + 532 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**2 + 8*r**3 - 25*r**2 - 19*r**2.\nAnswer: 8*r**3 - 48*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6282029\/118 - -53238. Let d = 2\/59 + j. Let h = 0.1 - 0. Sort 0, d, h in increasing order.\nAnswer: 0, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, b: 1, x: 1, n: 2, p: 2}. Give prob of picking 1 x and 1 n.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5215 * 273.\nAnswer: -1423695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**4\/5 + 86*a**3\/5 + 18*a**2 - 86*a\/5 - 88\/5 = 0.\nAnswer: -1, 1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -m + 96, -294 = -5*m + 2*m + 4*t. Let o = 223 - m. Let x = 29 - 18. Calculate the highest common factor of x and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45835\/27214 - -3\/1237. Let n = 2039 - 44867\/22. Find the common denominator of n and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*l - 9 = 3*o, 5*o - 10 = l. Is (-6 + o - 659)*5\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -52 + 54. Suppose 0 = -t*r + 8*r - 132. What is the least common multiple of 12 and r?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15559384 is divided by 4235.\nAnswer: 4229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 9*i**2 + 5*i - 7. Suppose 0 = c - 4*c - 21. Does 17 divide o(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3441088, -3441085, -3441080, -3441073?\nAnswer: -3441064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -54 - -52. Sort -2\/3, u, 0.3 in decreasing order.\nAnswer: 0.3, -2\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3141?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 74 - 15. Suppose -o = 2*n - 23. Let x = 1 - n. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34677 + -14335. What is the highest common divisor of 14 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*r + 24*r + 1995 = 0. Let a be 70\/15*30\/r*1. Determine o so that a*o - 2\/11*o**2 - 22 = 0.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -22\/45483?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -531.691 and 39.\nAnswer: -20735.949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46056 and 342?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 89856 and 130884.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 927202294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -7631698 at least -221319210\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 497.4742581 rounded to one decimal place?\nAnswer: 497.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26641160.\nAnswer: 2, 5, 7, 13, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(sqrt(12) + (sqrt(1200) - sqrt(1200)*1)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 - 22. Let d(h) = -24*h + 4. Does 19 divide d(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - 0.1. Let l = 106 + -741\/7. Let d = -55.7 + 55.2. What is the fourth smallest value in -3, l, d, t?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 966090277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 7:25 AM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/sqrt(5) + -4 - (3 + (sqrt(2) - sqrt(8))).\nAnswer: -7 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011110100011011010 (base 2) in base 14?\nAnswer: -a11d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -93*(-20)\/(-105) - ((-450)\/(-180) + 25\/(-2))?\nAnswer: -54\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 452 and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 345 = -a. Let s = a + 36. Find the common denominator of (2\/s)\/(30\/75) and -26\/15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*y**2 + 30*y**5 + 10*y**2 + 14*y**5 + 26*y**2 wrt y.\nAnswer: 2640*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -413, -409, -393, -359, -301?\nAnswer: -213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -3, i = 6*d - 2*d + 9 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2031317?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1*1 + 398\/1393)\/((-10)\/12). Factor -4\/7*j - 2\/7*j**2 + n.\nAnswer: -2*(j - 1)*(j + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76, 280, 640, 1174, 1900, 2836, 4000, 5410?\nAnswer: 7084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 16, 20*u - 2*t - 7563 = 15*u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 275.29257 months to millennia.\nAnswer: 0.0229410475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 9:39 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14060 and 45436?\nAnswer: 4316420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -19. Let r = -2 - y. Let v = r + 63. Does 10 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1920) + -6*2*sqrt(1920))*-6)\/(3*-2*sqrt(1210)*1).\nAnswer: -8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wxwpeva. What is prob of picking 1 a, 1 p, and 1 v?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 3, 56, -2646 in ascending order.\nAnswer: -2646, -5, 2, 3, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 6 = 3*j, -2*j = -3*g - 0*j + 9. Suppose -u = 3*d - 25, 4*d + u - g - 30 = 0. Is 4 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2966742, 2966748, 2966754?\nAnswer: 2966760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38707111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189894 is divided by 4128?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*d**3*r*z - d**3 - d**2*r*z + 2*r*z - 2*r + 2*z wrt d?\nAnswer: 21*d**2*r*z - 3*d**2 - 2*d*r*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -5. Let m be (51\/l)\/(2\/4). Round m to zero decimal places.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -6*y + 5*x - 39, y - 9 = -5*x. Let j be (-2)\/y + 20\/3. Let r = j + -5. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3 + 2*s - s + s. Let v(y) be the first derivative of -y**2 - 4*y - 44. Determine 3*n(b) + 2*v(b).\nAnswer: 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1849478587, 3698957174, 5548435761, 7397914348?\nAnswer: 9247392935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 504 - -1101?\nAnswer: 2005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.913 - 371.013. Let t = q - -366. Suppose -2*l = -6*l. What is the second smallest value in t, -4, -16, l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 4*c + 16 - 45, -3 = -4*k - 3*c for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ekatkktuaeekekukhuu. What is prob of picking 1 u and 1 k?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -70 or -898?\nAnswer: -898","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide (1 + 3)\/((-2)\/(-23))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 244, 966, 2170, 3856, 6024, 8674?\nAnswer: 11806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*g + 93*g - 156 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 7*s**2 + 23*s - 15. Let n be m(17). Suppose -5*w - 1966 = n. Let a = w + 1436. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -m**4\/4 + 11*m**3\/3 - 9*m**2 + 4*m - 17. Let v be w(9). What is the nearest to 2\/5 in 2, v, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6280\/(-16)*(2 + (-8)\/2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d - 7. Let s be l(6). Solve s = 5*q - 15 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 3*a. Suppose 0 = -c - h + 1, a = -3*c + 6*h - h + 43. Find the third derivative of f**6 - f**2 + 2*f**c - 2*f**6 wrt f.\nAnswer: 120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**2 - r**2 - 3*r**2 + r**2 + 3*r as p*r + v + q*r**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 1 + 1. Let p be 1 - (3 + k) - (1 + -2). Let f = -41 + 40.9. Which is the nearest to f? (a) 1\/2 (b) 4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 104*j + 621. Calculate f(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 39 = n, -3*q + 0*q - 23 = 2*n. Let k = -7 - q. Solve -3*g - 6 = -3*f, -2*f = 2*f - k for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-6*3\/12). Let f = r - -72. What are the prime factors of f?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 766679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 847, 3372, 7559, 13414, 20943, 30152, 41047, 53634?\nAnswer: 67919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 55826c + -23?\nAnswer: 558249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10200 + -9755. Is 449 not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1211715 and 540?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 7:27 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 9*o**2 - 26*o - 82. Let j be y(-4). Which is greater: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d + 65 - 86 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27093878 to the power of 1\/3, to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 487 - 905. Is 12 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 - 2435.84?\nAnswer: -2435.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 852 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: (((-480)\/56)\/(-6))\/((-85)\/(-714))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*h**3 - 157*h + 1170 wrt h?\nAnswer: 18*h**2 - 157","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/87 and 71\/21.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 100087038?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - -20. Suppose -d*i = -5*i. Suppose 4*z - 29 - 55 = i. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -1. Let f = 25 - u. List the prime factors of f.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, 302, 1142, 2760, 5414, 9362, 14862?\nAnswer: 22172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2023 + -1113?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1244, 4999, 11264, 20045, 31348?\n\"Answer: o**3 + 1249*o**2 + o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4879?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 4*m**2 + 17*m. Let l be r(-4). Let a = -8 - -28. What is the greatest common divisor of a and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7.42234nm?\nAnswer: 0.00000742234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-268)\/6*(-9)\/2*1. Let y = m - 177. Is 25 at most as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/sqrt(6) + -2 + -4*(-3 + sqrt(19)).\nAnswer: -3*sqrt(19) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - -212025053.5369.\nAnswer: 212025053.9369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.5 + -2.8. Let j = y - -1.2. Which is the nearest to j? (a) 2\/17 (b) 4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1192*c - 230 = -1238*c. Let f be (-11)\/3 - 2\/(-3). Let l = 5 + f. Solve -5*a = -l*p + 12, c*p - 2*a = 3*a for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 11*z**3 - 8*z**2. Let v(x) = -2*x**3 - 2*x**2 - 1. Give -m(u) - 5*v(u).\nAnswer: -u**3 + 18*u**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 49119110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 j when four letters picked without replacement from {j: 1, b: 2, c: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -7*o**3 - o + 1. Let v be (8\/(-10))\/((-8)\/40). Suppose -a = -s, v*s - 5*a + 3 = -2. Suppose 10 = 5*f + s. Determine y(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 4595*m. Let c(k) be the second derivative of -k**3\/6 - 3*k + 283. What is a(c(p))?\nAnswer: -4595*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence klz when three letters picked without replacement from lzlzzlkkz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 417.118 + -925.\nAnswer: -507.882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 52?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in -1\/3, 2\/11, 0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 4*p - 2 = b, 8 = 2*p - 4*b. Suppose 15*d + d - 64 = p. Solve 0 = -0*l + d*l - 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3*k = -4*k - 17, 0 = -2*p - 5*k + 3. Let t(w) = 9*w - 3 + 3 + 1 - p*w. What is the lowest common multiple of 8 and t(2)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p + 3*p + 3*v = -18, -v = 9*p - 7*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lt when two letters picked without replacement from ltllvvtetc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -12. Let g = 16 - d. What is the remainder when (-1)\/((-20)\/(-55))*-16 is divided by g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*g - 72*g - 28 = 0. Let p = 71 + -39. What is the second derivative of g*z - 2*z + p*z**4 - 28*z**4 wrt z?\nAnswer: 48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 12:21 AM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -3 (c) 16670\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 60 or 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6*1\/311)\/1)\/((-2946)\/(-982))?\nAnswer: 2\/311","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 28*u**2 - 91*u + 556. Let j be v(25). What is the highest common factor of 11778 and j?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -467 - -420. Let g = j + 242. What is the greatest common factor of g and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 11:37 PM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 264 and 2794026?\nAnswer: 122937144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 427 in -2, 5, 1, 193, 0.07?\nAnswer: 193","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8516.989 millennia in centuries?\nAnswer: 85169.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 12:43 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1860 is divided by 1833.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -18\/2761 and -46\/19327.\nAnswer: 19327","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 28242.69 milliseconds?\nAnswer: 28242690000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 32 and -7?\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 31548066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 704, 716, 736, 764, 800, 844?\n\"Answer: 4*c**2 + 700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1332 divided by -7\nAnswer: -1332\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.15 * -224.6.\nAnswer: -33.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + 1 - (5 - 10) - 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(2\/7)*h*h**28 assuming h is positive.\nAnswer: h**(205\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**3 - m**2 + m - 1. Let a be (5 + -6)\/((-3)\/15). Suppose u + a*q + 22 = 3*q, -5*u = -q + 99. Let f = -19 - u. What is o(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f**3 + 9*f - 5. Let i(j) = 28*j - 10*j**3 - 12395*j**2 + 12395*j**2 - 16. Determine 16*c(d) - 5*i(d).\nAnswer: 2*d**3 + 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31*d**6*f - 16*d**4*f**3 - 3*d**2*f**3 + 72*d**2*f**2 wrt d.\nAnswer: -3720*d**3*f - 384*d*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (-21 + -2 + (-6 - -13))) + -27?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**2 + 26*o - 56. Let p be r(2). Sort p, 0, 9 in descending order.\nAnswer: 9, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1764 and 81438.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 77884 + 2*c - 77884. Let u(t) = 7*t**2 - 7*t. Give u(s(j)).\nAnswer: 28*j**2 - 14*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y + 6 + 8*y - 8*y. Suppose 0 = z + 4 - 10. Calculate r(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 206687*q**3 + 239207 wrt q.\nAnswer: 620061*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - -3.9011354732881\nAnswer: 3.4011354732881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -15*s. Let o(d) = 5*d**2 - 6*d - 6. Let v(t) = 9*t**2 - 11*t - 11. Let x(m) = 11*o(m) - 6*v(m). Calculate l(x(y)).\nAnswer: -15*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**5\/13 - 34*c**4\/13 - 12*c**3\/13 + 262*c**2\/13 - 316*c\/13 + 96\/13 = 0.\nAnswer: -3, 1\/2, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*s**4 - 3*s**4 - 27*s - 7*s**4 - 20*s**4 wrt s.\nAnswer: -384*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 363, 725, 1087, 1449, 1811, 2173?\nAnswer: 2535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 743458?\nAnswer: 2, 127, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(2*sqrt(170) + sqrt(170)) + sqrt(170))\/(sqrt(20)\/(1*sqrt(2))))**2.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {n: 1, p: 3, b: 1, t: 1, s: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112810?\nAnswer: 2, 5, 29, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -11 + (1 - 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 218158768.1 rounded to the nearest ten thousand?\nAnswer: 218160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -1 - ((-1 - -25) + 1351 + -1382)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 3 (b) 23.4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 125 - -55. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3 + 2 + sqrt(3) + 2 + 1*sqrt(27) + 5.\nAnswer: 4*sqrt(3) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39 - (-100 + 71) - (-28 - 1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-4\/7)*v)\/(v\/((v*v**(2\/13))\/v)*v))\/(v*v**(-2\/5)*v)**(2\/5) assuming v is positive.\nAnswer: v**(-4681\/2275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -10\/11 (b) -2883 (c) -70\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/9 + 1425\/27. What is the derivative of 13*n**2 + 59 + b - 120 wrt n?\nAnswer: 26*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -75\/623 - 2\/89. What is the nearest to 0.3 in -2, -4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64\/(-1680)*(-20)\/(-8)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1830, -2, 2, 10 in descending order.\nAnswer: 10, 2, -2, -1830","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/5122 and 115\/156.\nAnswer: 30732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.74605 years to decades.\nAnswer: 6.474605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -65\/6 - -3593\/330. Let f = -6\/11 - h. What is the third smallest value in f, 5, 0.16?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41 + 40.9. Let n be 22\/(-66) + (-4)\/12390*-2381. Let b = 2\/295 - n. Sort i, -4, b in increasing order.\nAnswer: -4, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s - 10. Let o(j) = -2*j - 22. Let h be o(-8). Let i be b(h). Solve i*x - x + 1 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 886839955?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 755 divide 52589019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 1358.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7886, -7895, -7908, -7925, -7946?\nAnswer: -7971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 12, h: 6}. Give prob of sequence vhhh.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j. Let u be z(1). Suppose 0 = -k - 0 - u. Let c(w) = -w + 1. Let g(o) = 7*o. Let m(s) = k*g(s) + 5*c(s). Differentiate m(p) with respect to p.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-5\/2)\/k)\/k)\/k*k)\/(k**(-1\/6)*k)*(k**(-2)\/k)**(-3) assuming k is positive.\nAnswer: k**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -528672418 greater than -528672416?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 3*y - 2*y**2)*(-3800 + 8459 - 3232) - 2*y**2 + 3*y**2 - 2*y**2.\nAnswer: -2855*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1212022111022 (base 3) to base 7\nAnswer: -11263202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-77)\/(15939\/(-27))).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 797 is divided by 28.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 77349.6l?\nAnswer: 77349600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -89.599 rounded to one decimal place?\nAnswer: -89.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 13*y + 20 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (14 + 640\/(-48))\/((-1 - -2)\/3408) a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1544734\/5 + -308942. Determine a, given that -h*a - 2\/5*a**2 - 22\/5 = 0.\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-39))\/(-3*(-2)\/(-12))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + d + 2. Let y(a) = -7*a - 167. Let k be y(-24). Let s(i) = -4*i**2 - i - 2. Let m(p) = k*j(p) + s(p). Let u(z) = -45*z**2. Calculate m(u(c)).\nAnswer: -10125*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -18.0311 * -23.44\nAnswer: 422.648984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*s - 4 = -0*s, 0 = -5*t - 5*s + 25. Suppose 17*r - 34 = 51*r. Sort r, t, 2.\nAnswer: r, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 9*b - 6. Let s(t) = t**3 + 3*t**2 - 5*t. Let y be s(-4). Does 8 divide g(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -8 + 9 + 1 + 1067.\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -83*i - 11. Let f be s(-5). Let q be -1 + (-5 - 1)*24. Let y = q + f. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 14*p**2 + 5*p - 11. What is the tens digit of h(-13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -988 - 307 = -5*l. Is 37 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -q**2\/2 + 7*q + 29. Determine s(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001217155918 to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -88 + 91. Solve -8*g = -7*g + j for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -82\/82305 and 163\/161820.\nAnswer: 9547380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -202 + 2*q**3 + 422 - 220.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -7. Solve 2*c = -z*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r - 3. Let c = -360 + 354. Give g(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**2\/4 - 13987*i - 195636169 = 0. What is i?\nAnswer: -27974","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*p**2 + 160*p + 2444 - 2446 - 79*p - 81*p.\nAnswer: -27*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/24 of a day?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h**2. Let o(r) = -457091*r**2. Give v(o(w)).\nAnswer: -626796546843*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -18bd (base 14) in base 9?\nAnswer: -6126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - u + 1)*(-4 + 5 + 0)*(82813*u - 82813*u - 1211*u**2) in the form q + s*u**2 + w*u + t*u**3 and give t.\nAnswer: 1211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (((-510)\/68)\/(-3))\/((-10)\/16)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 100084562 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, q: 3}. Give prob of sequence dq.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -y + u + 19, -2*u = 5*y - 212. Let g be (-24 + 0)\/(1 - 0). Find the common denominator of y and (2\/g)\/((-1)\/(-178)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**3 - 6*n**2 = 0. What is n?\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-2)*(-42)\/49*1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2*g - 550 = -g, 4*t + 552 = 4*g. Let u = -244 - t. Let d = -76 - u. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(3\/(-4)) - 143\/(-143).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*c + 6906 = 4*s - 19*c, 2*c - 4 = 0. Let o = s + -1103. Does 13 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 4*t + 1. Let x be q(-4). Suppose -7 + x = -3*v. Suppose 0 = v*l - 4*l. Solve l*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 1784695*g**2 - 24*g + 69. Let s be q(21). Let v be s\/(-135) + (-8)\/(-18). What is v rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/8 of a millennium?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**4 + 9*t**3\/2 - 6*t**2 - 9*t\/2 + 3 = 0. Calculate t.\nAnswer: -2, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (16 + 2514)\/(-10)*-5 - (0 + 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.46 plus 931?\nAnswer: 931.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3907*b**2 + 4938*b**2 - b**3 - 1027*b**2 + 2*b - 6. Let h = -4 + 8. Calculate c(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.008791 and 0.220086?\nAnswer: 0.211295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7877, -7883, -7903, -7943, -8009, -8107, -8243, -8423?\nAnswer: -8653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5 = -1, 0 = -k + 5*c + 78. Let s = k - 40. Sort 3, 4, s, -3 in increasing order.\nAnswer: -3, 3, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -3\/2 (c) -8 (d) 4\/5 (e) 3\/5 (f) 44\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.4487173 tonnes?\nAnswer: 448717.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 110011010110101111100 (base 2) to base 15\nAnswer: 233927","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -3 and -17124.582 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 90 + -93 + (6 - 0)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6174 = h - 5*o - 5240, 5*o - 57160 = -5*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/1894 and -91\/4.\nAnswer: 3788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 9:36 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6035887, 6035888, 6035891, 6035896, 6035903, 6035912, 6035923?\n\"Answer: t**2 - 2*t + 6035888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-40)\/r**6 assuming r is positive.\nAnswer: r**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -l**6\/40 + 3*l**5\/8 - l**4 - 175*l + 3. Find a, given that u(a) = 0.\nAnswer: 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 70*b - 295. Let t be x(5). Suppose -3*n + y + 60 + 64 = 0, 4*n + y = 177. Let j = t - n. What is the lowest common multiple of j and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3596967\/21 - (-168)\/(-147) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 2, 4, -320, -2, 1, 5 in descending order.\nAnswer: 5, 4, 2, 1, -2, -9, -320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5*f + 5 = 62, 5*p - 111 = 2*f. Let x be -20 + p + (-3)\/5. Let j = -2.94 + -0.06. Which is the smallest value? (a) x (b) -1\/2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - l + 365 = -2*z, -5*z + 5*l = -615. List the prime factors of z.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (-6 - -15)) + -7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 9:21 AM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 9*r**2 - 10*r + 12. Let k be -3*1*(50\/15)\/1. Let d be v(k). What is the highest common divisor of 9 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29166 - 3533. Does 59 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3743923 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/7786 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11530149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**2 - 22453 + 22453 + 4*h.\nAnswer: -2*h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 442903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**50)**(-4\/7)\/((y*y**(-3\/16))\/(y*y**(4\/7))) assuming y is positive.\nAnswer: y**(3221\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and 2300620?\nAnswer: 2300621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63399 = 9*l + 2*n, -4*l + 28154 = -208*n + 205*n. Is 35 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -6906621 and -6906623 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -a329 (base 16) to base 14\nAnswer: -11317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1473 (base 11) to base 3.\nAnswer: -2121012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3749 - 395*h**2 - 2625*h**2 + 1238*h**2 - 1321*h**2 wrt h.\nAnswer: -6206*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m + 18*m = 11*m + 4*k - 153, -69 = m - 2*k for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 2, 0.3.\nAnswer: -0.1, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 332 + 311001?\nAnswer: 311333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of 11*p**7\/840 + 149*p**4\/24 - 8*p**2. Let z(c) be the second derivative of y(c). Let l(o) = -5*o. What is l(z(h))?\nAnswer: -165*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 639 + 99*o**3 - 639.\nAnswer: 99*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 713483829?\nAnswer: 3, 17, 47, 33073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, p: 1, r: 7}. Give prob of picking 1 p and 2 t.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 11 + 0 = -53. Let c(h) = -h**2 - 7*h + 9. Let w be c(-8). Let n(u) = 22*u - 1. Let y be n(w). Calculate the greatest common factor of q and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**5\/v**(-3)*(v\/(v\/((v**(4\/3)\/v)\/v))*v)\/(v**5\/v) assuming v is positive.\nAnswer: v**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*r + 12*r + 234*r.\nAnswer: 269*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n**3 + 687*n**2 - 1378*n = 0. Calculate n.\nAnswer: -689, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 0*h**2 - 2*h**2 - 69*h + 4*h**2 - 2 - 7*h**2 + 68*h - h**3. What is s(-4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of 3*u**2 + 619. Let p(t) = 20*t. What is d(p(m))?\nAnswer: 120*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 3. Suppose -29*u - 55 = -18*u. Let r be u + 5 + 0 + 2. Put r, d, 4 in ascending order.\nAnswer: d, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((28\/(-55))\/7)\/(4\/10)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1901341577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -66, -32, 5, -3, 51, 3, 2 in ascending order.\nAnswer: -66, -32, -3, 2, 3, 5, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 33 + 183. What is the lowest common multiple of 2 and (40 - 0)*(-25)\/m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 3*h - 4. Suppose 4*j = -2*j + 402. Let k = 81 - j. Suppose -l - 5*p = 4, -p = 4*l + 4*p - k. Give x(l).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3002 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 - 1 + 5)*(-2 + 0 + 0) - 4 - 4 + 3)*(3*l - 2*l + 0*l) to a*l + m and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3859\/2441 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 1223*c + 51371. Determine r(-42).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = -36*v - 42 - 44. Sort -4, 5, v, 0, 3 in decreasing order.\nAnswer: 5, 3, 0, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -108 - -220. Let p be 56\/(-140) + b\/5. Solve -2*k = -4*u - 14, -3*u + u + 4*k - p = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -284*i**3 - 418*i**3 + i**4 + 2964170*i**2 - 2964172*i**2 as m*i**4 + g + a*i + c*i**3 + w*i**2 and give c.\nAnswer: -702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5993 (base 13) to base 9\nAnswer: 18278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 368, 611, 852, 1091, 1328, 1563, 1796?\n\"Answer: -w**2 + 246*w + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-10))\/((-2)\/(24\/(-63))).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 83 + -79. Suppose -5*z - 4*k = 0, 0 = p*k + k. Solve j + 1 + 3 = z for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 117175749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 7*m**2. Let h(k) = -240*k**2. Determine s(h(w)).\nAnswer: 403200*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of x**5\/30 - x**4\/24 - x**3\/6 + 3*x**2. Let b be j(-3). Calculate the greatest common factor of b and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -33 + 61 + 16*d**4 - 28 - 17*d**4 - 14*d + 32*d**2 + 2*d**3 as h*d**4 + n*d**3 + z + m*d**2 + v*d and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.172516l to millilitres.\nAnswer: 6172.516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 332 a factor of 122840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/8 + 2\/4. Let r = -38.65 + 38.69. What is the biggest value in -12, r, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1158.5, -10, 1\/5 in ascending order.\nAnswer: -10, 1\/5, 1158.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -107a5a (base 11) to base 14\nAnswer: -467a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 39636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (54\/(-15))\/((-4)\/10). Let f(p) be the first derivative of 4*p**2 + 9*p - 16. Let c(z) = -2*z - 2. Give m*c(h) + 2*f(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1093858608 divided by 273464652?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 7*z + 1390. Let j = z - 5284\/19. Suppose -y + 2 = 1. Which is greater: j or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120423 and 14943?\nAnswer: 879","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71132247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 364 greater than 364?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/2*2\/(-3). Let x be (-20)\/(k\/(4\/(-8))). Solve -2*b - 2 = -2*n - x, -2*n = 5*b + 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 1 + (1 - (-2 - -1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l - 4. Let o = 18 - 11. Let d be q(o). Suppose -2*p - x + 21 = -0*p, -d*x = -p. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1575 and 1162125?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 244 in 0.1, -5, 4, 0, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -32232?\nAnswer: -32221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2200 and 40?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 + 144 = -3*x. Let o = -49 - x. Solve -25 = 5*i + 5*u, -4*u - o + 2 = 3*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -d**5\/20 - d**4\/3 + 19*d**3\/6 - 7*d**2 - 14*d - 252. Let z(w) = 0. Calculate w.\nAnswer: -7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 97 - 52. Let k be 8 + (2 - (-1 + 2)\/1). What is the greatest common factor of t and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 41000 and 87500.\nAnswer: 7175000","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 k when two letters picked without replacement from {a: 5, k: 12, i: 2}.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/3, 386, 1\/3, -2, -4, 5.2, -0.02?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47 + -43. Suppose 3*s + 67 = n*s. List the prime factors of s.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.5*-5.026.\nAnswer: 42.721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001537 rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 49776157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 93059329039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 8:29 AM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1312177 is divided by 9372?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 219, 183, 147, 111, 75, 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5*(513\/(-190))\/((-21)\/(-56))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30776005*b**5 - b**2 + 13*b + 61118.\nAnswer: -1846560300*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -5*m - 36. What is v(-10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1189.3 (b) -0.03 (c) -5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 20, 0, -4\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of n**7\/300 + n**6\/180 - 4*n**5\/75 + n**4\/15 - n**3\/3 - 2*n**2. Let g(d) be the first derivative of h(d). Factor g(w).\nAnswer: 2*(w - 1)*(w + 2)*(7*w - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010 (base 2) in base 13?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56 and 917434.\nAnswer: 3669736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 0, 132 = -4*v + 8*v - 3*o. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/30*20\/30.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -71\/9677 + -625694\/11002749. What is the common denominator of 10\/7 and x?\nAnswer: 7959","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2*q = 4 - 71, -4*q + 29 = 3*f. Let w(o) = 3*o**2 + 3*o. Let n be w(-1). Suppose n = 5*c + 94 - 389. What is the remainder when c is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4668*c - 78 = 4655*c + 390. Calculate the remainder when 2373 is divided by c.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -1\/288 (c) 318 (d) 53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15588224*r**2*u**2 + 2*r**2*u*y - 2319*r**2*u - r**2*y + r*u*y - 2*r*u - 2*r*y + 14*u**2*y - 1384*u*y wrt u?\nAnswer: 31176448*r**2 + 28*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*b - 61227 = -62667 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16196 + 16199. Solve 2*g + 13 = 3*m + 17, o*m = -2*g + 16 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48 - -78. Solve -5*g + m = 5*i, 0 = -3*g + 4*i - 10 - 7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k - 19. Let m be f(-7). Calculate the common denominator of 85\/8 and m\/6*18\/(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 5*m - 1. Let o be (-6)\/(-4) + 12\/m. What is o rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(((o\/(o*o**(2\/43)\/o))\/o)\/o))\/((o\/o**(-2\/19))\/o))\/((((o*o**(3\/7)*o)\/o)\/o*o)\/o**17) assuming o is positive.\nAnswer: o**(100155\/5719)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 956457337080857\/1283520 + -11177745589\/15. Let v = 50323\/914000704 - -2\/74771. Let p = v - j. Find the common denominator of 43\/4 and p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8398026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 2, m: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 446560582?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.0333551 rounded to four dps?\nAnswer: 9.0334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.1 (b) 4\/9 (c) 15 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 121299307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xsxxxxxxxxxxxxxxxx. Give prob of picking 1 s and 2 x.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -0.05074.\nAnswer: -3.94926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 16. Suppose -4*t + 18 + 5 = -5*l, -p = 2*l. Solve 3*f - 5*a = 13, -3*f - t*a - 22 = -0*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*i + 20*i - 48*i + 90 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 3*c = -24*c - 216 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 10*b + 2. Suppose -i - 4*m - 10 = 0, 0 = -m + 4*m + 9. Let r be 2\/i + 12 - 3. Let p be s(r). Sort 7, p, -3 in increasing order.\nAnswer: -3, p, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/6 and -10\/1143?\nAnswer: 2286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*h**2*o + h**2*w + 120*o*w - 2*w + 57 with respect to w.\nAnswer: h**2 + 120*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 2393737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.9979 - -0.997907661. Round v to seven dps.\nAnswer: 0.0000077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1 + sqrt(26)\/sqrt(2) + 4 + sqrt(208).\nAnswer: 9 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06355 to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.98 + -6. Suppose 270 = -7*m + 242. Let u be 1*-2 - (3 + (-48)\/8). What is the fourth biggest value in -5, u, m, d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of k**6\/15 - 13*k**5\/10 - k**4\/6 - 19*k**3\/2 - 7*k - 2. Find the third derivative of g(y) wrt y.\nAnswer: 48*y - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 96, 81, 66, 51, 36?\n\"Answer: -15*r + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 2 = -2*h - 0, -52*u + 2*h + h + 224 = -385 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*o + 15 = 0, -3*s - 13 = -0*s - o. Let a be (-6)\/(-3)*(-1)\/(-13). Sort 2\/17, a, s in ascending order.\nAnswer: s, 2\/17, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*q = 25, -r - 3*q + 7 = -0*q. Calculate the remainder when 45 is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 m when two letters picked without replacement from blmbqll.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/3348 and -43\/4092.\nAnswer: 36828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -3*b**5\/4 + 953*b**4\/2 + 36805*b**3 + 44507*b**2\/2 - 627297*b\/4 + 97290 = 0.\nAnswer: -69, -8\/3, 1, 705","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 5*b - 22, 36*a - 4*b = 40*a - 32 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + -0.1. Let n = 0.1358 - 1.1358. Which is the closest to 1\/4? (a) n (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 4*y**2 + 13*y - 3. Let z be n(6). Let x(f) = 3*f**2 + 6*f - 5. List the prime factors of x(z).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -2*u + 20, 5*u = -y + 20. Let c be -4 + 1*(-4)\/(-6)*(32 - 23). Solve y*i = -c*i - 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 6, -4*x - 2*y = -6*y. Let f = 1235\/24 + -345\/8. Find t, given that 104\/3*t**3 + f*t**x + 0 + 2\/3*t + 48*t**4 = 0.\nAnswer: -1\/4, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/2 and 101\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -101100111011010010101 (base 2) to base 5\nAnswer: -334102044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 1980?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -91*l - 12295 + 30*l + 12294 - 27*l. What is s(-1)?\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 80*v**3 + 8*v**2 - 6*v + 3. Let r(b) = -2*b**2 + 2*b - 1. What is -n(f) - 3*r(f)?\nAnswer: -80*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/36 and 69\/44?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3472 at most 3472?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14\/49 - (-2586)\/14 is divided by 26?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1426356363, 2852712728, 4279069093, 5705425458, 7131781823, 8558138188?\nAnswer: 9984494553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8.8 and 128.06.\nAnswer: 136.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -92\/1138545 and 31\/15.\nAnswer: 1138545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 632 is divided by 158?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + i = -16, 5*c + 3*i - 13 = 5. Let g be (-2 + 0)*(-6)\/(-4). Sort g, c, 5 in decreasing order.\nAnswer: c, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4753735 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 15, -5, 0 in decreasing order.\nAnswer: 15, 5, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*c - 114*c - 38468 = 92637. List the prime factors of c.\nAnswer: 5, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 9, n: 10}. What is prob of sequence nnz?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**3 + 39636*c**2 + 277280*c + 237648 = 0.\nAnswer: -9902, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of c**6\/180 - c**5\/60 + c**3\/6 - 4*c**2. Let u(j) be the first derivative of z(j). What is the second derivative of u(p) wrt p?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/6)\/((7 + 357\/(-49))\/(-6)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 442620662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 5*c. Let z(t) = -10*t. Let j(p) = -7*r(p) - 4*z(p). Let d(f) be the third derivative of -7*f**5\/20 - 30*f**2 + 3. Determine d(j(g)).\nAnswer: -525*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10945?\nAnswer: 5, 11, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6*(-1)\/2 - (71 - 66). Which is the nearest to 0.11? (a) -1 (b) 3 (c) -0.1 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-1 + -14 + 10) - -5 - (-103 - -5).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 224, -4, 0, 253 in decreasing order.\nAnswer: 253, 224, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**12*y*y**(3\/16))\/(y\/(y*(y*y**(-2\/9)\/y)\/y))**(-20) assuming y is positive.\nAnswer: y**(2107\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5 = -7*d. Let c = 1 + d. Find the common denominator of 4\/11 and (-2 - (-393)\/30) + c.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 n, and 2 j when four letters picked without replacement from {a: 2, n: 9, p: 1, j: 6}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 14*l**2 + 4*l - 4. Let x(o) = 195*o**2 + 55*o - 55. Let f(v) = 55*d(v) - 4*x(v). Let s(y) = -23*y**2 + 17*y - 6*y - 21*y + 10*y. Calculate f(s(n)).\nAnswer: -5290*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 + -25. Let z(b) = b + 29. Is 16 a factor of z(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*j - 22. Let w(r) = r - 6. Let a be w(6). Let y = a + 2. Calculate the greatest common divisor of y and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1287129 to the nearest integer?\nAnswer: 1135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -9\/10, 0, -0.3, -67\/5 in descending order.\nAnswer: 0, -0.3, -0.4, -9\/10, -67\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-166)\/(-166)*(9\/18)\/(1\/(-28))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - o = -13 - 0, t + 3*o + 1 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 5 + 2*t**3 - 5*t + t - 2 + 2*t. What are the prime factors of g(2)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-4)*-2)\/(6\/12). Suppose d = -5*v + 4*d - c, -v + 14 = 3*d. Suppose -5 = v*f - 237. What are the prime factors of f?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5*(2 + sqrt(162))*-6 + (-3 + (sqrt(162) - 3*sqrt(162))*3)**2).\nAnswer: -5781 - 54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 0*n + 10 = n, -5*v = n + 74. Let k be 3 + (38\/v - (-8)\/(-28)). What is the nearest to k in 2, -0.4, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 233*t. Let g(i) be the first derivative of i**2\/2 - 32. Calculate n(g(b)).\nAnswer: 233*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 697 = 3*a + 76, 0 = -3*a - 5*l + 613. Suppose -94*o = -84*o - 3840. Let q = o - a. List the prime factors of q.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 * 0.04613.\nAnswer: 0.55356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 537*x - 566*x + 174 = 0 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1195733 is divided by 18395?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, -60, -79, -116, -177, -268, -395, -564?\nAnswer: -781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 367282420 to the power of 1\/2, to the nearest integer?\nAnswer: 19165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*w + 55*w - 42. Let m be 2\/(-7) + 16\/7. Let p be (-12)\/(-1 + -2) - m. Solve -w*y = -z - 3, -4*y + p*z - 5*z = 9 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((116\/(-261))\/(10\/(-3)))\/((-12)\/(-50)).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z**4 + 1855*z**3 - 91045*z**2 + 85505*z + 178410 = 0.\nAnswer: -1, 2, 57, 313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/1410 and 60\/150*5\/(-6) - 274\/420.\nAnswer: 9870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1467 = 4*d - 167. Let p = -192 - d. Suppose -3*b + p - 1 = 0. Calculate the remainder when b is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -55 and -18?\nAnswer: 990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 12 - (7 - 10) - -3) + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m - 305 = -3*m. Suppose -49*x + 123 = -2*k - 44*x, -5*k + 3*x - 241 = 0. Let n = k - m. Calculate the greatest common factor of 17 and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 58*t + 10183 = 55*t, -3*d = 4*t - 15266. What is the greatest common divisor of 40 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 + -8.2. Let s = m - -8.3. Let k = -14713 - -14712. Sort -2\/15, k, s in decreasing order.\nAnswer: s, -2\/15, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/(-18) + (-11)\/(-3). Suppose 0 = -5*d + n*d. Let a = -41 + 62. Solve d = 4*c + a - 1 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34809.82 millilitres in litres?\nAnswer: 34.80982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/25 of a gram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 87 + (-120 - -182) + -239?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007704876 rounded to 5 decimal places?\nAnswer: 0.00077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 4*l + 54, -2*w - 5*l + 28 = 1. What is the units digit of (w\/14)\/((-3)\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11769 and 281?\nAnswer: 3307089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 13. Let p(c) = -c**3 + 3*c**2 + 11*c - 5. Let y = 18 - 13. Let v be p(y). Calculate the remainder when x(v) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-8)*((-48)\/(-18) + -2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*((-9)\/(-12) + -2). Suppose -16*d - 8 = 24. Let m be (6\/9)\/(d\/3). Put m, -3, z in increasing order.\nAnswer: z, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 4*q**3 + 7 + 3*q + q**2 - 1 - 6 to j*q + x*q**3 + m*q**2 + a and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -881 - -829.1. Let b = 44 + 8. Let c = i + b. What is the smallest value in c, -0.05, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3691 + 7383\/2. Let t(j) be the first derivative of j**2 - 4\/3*j**3 - 12 - b*j**4 + 4*j. Factor t(z).\nAnswer: -2*(z - 1)*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3401, 4169, 4937, 5705?\nAnswer: 6473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -520531\/46 < -11317?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 56 + -56. Suppose -z = -5*s - 24, d*s - 16 = -3*z + s. What is the remainder when z is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 7*y + 7. Give q(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0216098 centuries in months?\nAnswer: 25.93176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.9939 + -0.0239. Let k = c - 3.6596. Let w = 0.33 - k. Round w to three dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 150061 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1674484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6 or 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**2 + 0*r**2 - 60*r + 6 - r**2 + 44*r - 2*r**2 to the form i*r**2 + x + k*r and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/2*(2210\/(-4290)*33 - 31\/(-3))?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*v*w**4 - 2*v*w**3 - 2351*v*w**2 - 4*v + 6*w**4 + 89*w**3 wrt w?\nAnswer: 48*v*w - 12*v + 144*w + 534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.53 + 0.5. What is the closest to -0.1 in -4, 4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 i when four letters picked without replacement from mnnnninnnnfnii?\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 + 0.45. Let y = -0.3 - -0.1. Let w = u + y. What is w rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/34 and 6\/(-27)*714\/8.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10725959 is divided by 731.\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/3 + (-5)\/((-15)\/(-2)). Suppose p*k - 2 = -3*k - 4*n, -4*n - 46 = -5*k. Let x(j) = j**2 - j - 6. Let f be x(3). Sort k, 1, f in increasing order.\nAnswer: f, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5314 - 4161. Is 1155 at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 2\/9*k**2 + 0 - 2\/9*k = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200 is divided by 37?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2426?\nAnswer: 2, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11200 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1035455 divided by 42\nAnswer: -1035455\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 7*f**2 - 6*f - 3. Let o be ((-6)\/9*3)\/(-19 + 17). Let h be o + (-4 + 4)\/1 - 7. Determine y(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d + 5 + 6 - 9. Suppose -2*i - 8 = -4*i. Let a be 11\/i + (-11)\/(-44). Determine p(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -3*d - 31. What is the remainder when f(-17) is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*c**3 - 198 - 88*c**5 - 4*c**2 + 191 + 83*c**5 wrt c.\nAnswer: -300*c**2 + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 150?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 + 0 + 0)*(-y**2 - 3*y**2 + 6*y**2)*(129 + 92 - 309).\nAnswer: 176*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 40966*i - 40966*i + 1315*i**2 + (i - 5 + 5)*(2*i - i + 2*i).\nAnswer: 1318*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(3\/12) - -2. Suppose 2*w = h, 4*z + 0*w - 5 = 5*w. Let u be 4\/(-10) + 12\/z. What is the highest common divisor of 18 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3442, -5 in ascending order.\nAnswer: -5, -4, 3442","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -4*z - 21. What is the remainder when r(-10) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*m - 95 - 15 = 0. Let a(o) be the first derivative of 0*o - 1\/2*o**4 - 10\/3*o**3 - 3 + 2\/5*o**5 - 3*o**m. Find s such that a(s) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 - -0.3. Let x = -8.9 - -8. Which is smaller: x or a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116258?\nAnswer: 2, 58129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wzww when four letters picked without replacement from wwwwzwwzwzww?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -6*b + 10. Let w be t(5). Let y = -17 - w. Calculate the common denominator of y and -2 - (-3)\/(-18)*-85.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 3*r, -8*x + r - 12 = -6*x. Let f = 749 - 744. Which is the second smallest value? (a) -3\/10 (b) f (c) 0.1 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**2\/5 - 5587686*c\/5 + 11175364\/5 = 0. Calculate c.\nAnswer: 2, 2793841","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 142556040 and 4751868.\nAnswer: 142556040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 - 9 - 12)*(-h + 0*h + 0*h)*(-3 + 7 - 2)*(6 - 2 + 0).\nAnswer: 344*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwwwhhwh. Give prob of sequence wwww.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 967316899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -7*i**3 + 6*i**2 - 6*i + 3. Let n(m) = 8*m**3 - 5*m**2 + 5*m - 4. What is -5*a(g) - 6*n(g)?\nAnswer: -13*g**3 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 0 = 14. Solve 5 - 1 = g*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 14, 29, 58, 107, 182?\n\"Answer: q**3 + q**2 + 5*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**2 + 2*n**2 + 3*n**2 + 2*n**2 - 717.\nAnswer: 4*n**2 - 717","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 r when two letters picked without replacement from {o: 5, y: 2, u: 2, v: 1, r: 5, t: 2}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1685 + 109521\/65. Let u = -6\/13 - z. Let o = 62 - 304\/5. Which is the fourth smallest value? (a) -0.1 (b) -1\/9 (c) u (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 5*z**3 - 4*z**2 - 3*z + 1. Let o(a) = -4 + 5771*a**2 - 1 + 1 - 5762*a**2 + 1 - 11*a**3 + 7*a. Calculate 9*c(k) + 4*o(k).\nAnswer: k**3 + k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*t**2 + 25*t**3 - 37 + 0*t - 12*t**3 - 10*t**2 - 11*t**3 + 2*t as z*t + k*t**2 + n*t**3 + l and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -126 + 174. Let b be 1590\/z + (-2)\/16. Is (-2)\/(-8) - b\/(-12) - -79 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11 + (-285)\/45)*(-27)\/6 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 3*g**2 + 10*g - 17. What is z(5)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 10*i - 2. Let f(u) = -3*u**3 - 2*u**2 + 1. Let o be f(-1). What is the tens digit of j(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 + 28?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/(-65)*20\/12)\/(5\/(-60))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -30*n**3 - n**2 + 5*n - 5. Suppose 64*h - 3227 = -3035. Let j(k) = 15*k**3 + k**2 - 3*k + 3. Calculate h*b(u) + 5*j(u).\nAnswer: -15*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4702 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2331331 (base 4) in base 5?\nAnswer: -342112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -50 in 2\/9, 0.369, -0.3, -1, 97?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/((v*v**(-2\/5))\/v))\/v)**(4\/3)*(v**(-3))**20)**(-21) assuming v is positive.\nAnswer: v**(6244\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*m - 534 - 1865 = 204 for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*n**3 - 11346*n**2\/7 - 501952*n\/7 - 99936\/7 = 0. What is n?\nAnswer: -36, -1\/5, 1388\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pffd when four letters picked without replacement from {p: 3, d: 2, f: 4, i: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12715, -26270, -39825, -53380?\nAnswer: -66935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/k**3))**(-43)\/((k\/(k**(-20)\/k)*k)\/k*k*k**(3\/10)*k) assuming k is positive.\nAnswer: k**(-1533\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1072904 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + sqrt(11)) + (1 + sqrt(275))**2.\nAnswer: 4*sqrt(11) + 282","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -174172, -696869, -1568030, -2787655?\n\"Answer: -174232*k**2 - k + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3187*q - 2905*q - 3247 + 6491 - 3244.\nAnswer: -6092*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 - -54. Suppose 0*k = 3*k - x. Solve 2*t + 2 = -3*w - 7, -3*w - 4*t - k = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4\/3)\/u*u**1*(u*u*u**0*u*u)**(-2))\/(u**(4\/3)*u**(-4\/3))**(-13) assuming u is positive.\nAnswer: u**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -4*x**3 + 142*x**2 - 71*x + 112. Calculate the smallest common multiple of y(35) and 777.\nAnswer: 8547","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 1\/144, -3\/2, -0.3, 3 in ascending order.\nAnswer: -3\/2, -2\/5, -0.3, 1\/144, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64 and 559073744?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -3*i + i + 5*c, i - 5*c = 41. Let m = i + 6. Solve 24*t = m*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - -7 - (6 - 7)*32. Solve 21*b = 30*b - a for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2270829*l**3 + l + 629808 wrt l.\nAnswer: 13624974*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207383 is divided by 69011?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1362 and 182054?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**5\/2 - 13*t**4 - 117*t**3\/2 - 47*t**2 + 58*t + 60 = 0 for t.\nAnswer: -2, -1, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21102 - 12?\nAnswer: 21020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 - 0*1\/(-3). Suppose 0*g + g = 8. Let u be 3\/a - g\/(-32). Which is bigger: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 10:40 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 2*x + 3. Calculate a(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1212303240 (base 5) in base 6?\nAnswer: -141054550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00020156945 rounded to six dps?\nAnswer: 0.000202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 9641 = 9641?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(68))**2*4 - (2*sqrt(187)*-4)\/sqrt(11).\nAnswer: -544 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/6)\/((-4)\/(-6))*2. Suppose -o*n - n = -165. What is the remainder when n is divided by (-4)\/(-14) - 124\/(-7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 3)*(-h - 1 + 1) + 3*h + h - 2*h)*(47*h - 2837 + 1415 + 1417).\nAnswer: 47*h**2 - 5*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*w**3 + 0*w**3 - 10*w**3 - 8077.\nAnswer: 2*w**3 - 8077","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1375\/(-105) + 416\/224*7.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = 4*l + 20, 0 = 4*c + 33*l + 60*l + 946 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 116823709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/42*-10*5\/((-3525)\/(-6))?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*y**2 + 2*y + 65*y**2 - 2*y.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 74 + 7507*d**2 - 43.\nAnswer: 7507*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 0 + (-1557)\/(-6)*(-22)\/(-33) is divided by 53.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 640 is divided by 196.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -219, -456, -693, -930, -1167, -1404?\n\"Answer: -237*u + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.002? (a) -17\/2 (b) 3\/133 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -243 + 248. Suppose -5*o = -3*m + 46653, 0 = -k*m + 8*o - 3*o + 77755. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 11. Suppose -4 = -2*x - b + 7, 2*x - j*b + 9 = 0. Put x, 2, -4 in descending order.\nAnswer: x, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -93*i + 273. What is o(6)?\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4110 take away -74496423?\nAnswer: 74500533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21233322 (base 4) to base 3.\nAnswer: -2000202220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 217 + -147. Let r(a) = -3*a**2 + 39*a - c*a + 31*a. Let i(s) = -s**2 + 4*s**2 - s**2. Determine i(r(f)).\nAnswer: 18*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -4*a - 5, n = 5*a - n + 8. Let j be 2336\/208 - (1 + 11). Which is bigger: j or a?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -2*q + 142196644. Let y = q + 58229520005\/1638. Let c = -85\/117 + y. Calculate the common denominator of c and 59\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, m: 4, u: 2, n: 2, d: 2, x: 7}. Give prob of picking 1 x, 1 t, 1 d, and 1 m.\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1a5d776 (base 14) to base 11\nAnswer: -7463031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.342953 hours to seconds.\nAnswer: 12034.6308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 471627 is divided by 2046.\nAnswer: 1047","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 4*g**2. Let d(z) = 2*z**2 + 0*z**2 + z**2 - z**2. Give k(d(j)).\nAnswer: 16*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wndpl. Give prob of picking 1 n and 1 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 12 = -h. Suppose h*a - 4*c - 100 = c, 4*a - 88 = 2*c. Suppose -d = -a - 68. Calculate the highest common factor of 11 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 174953436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 3372426240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*a - 1519 - 429 = 2602 for a.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/3))**12\/(w**6*(w*w*(w**(-2\/7)*w*w)\/w)\/w) assuming w is positive.\nAnswer: w**(2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -425450, -850797, -1276144, -1701491?\n\"Answer: -425347*o - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of v**3 - 4*v**2 - 14*v + 38. Let f(k) = k**2 - 2*k - 1. Let y(j) = 6*f(j) - 3*n(j). Factor y(h).\nAnswer: -3*(h - 6)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 - 19. Suppose 2*q = -3*q - n*v + 40, -2 = -q + v. Suppose -3*y + 5*u = -y - 3, 0 = y + u - q. Solve h = y - 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 4 - (-11)\/22*4\/26?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = 4*x - 10*j + 45, -3*j = -x - 9. Let o be 1\/(x\/16) + (-35)\/(-30). Which is the nearest to -1\/2? (a) o (b) -1\/7 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**2 - 6*y + 4. Suppose -u - u = -8. Suppose 0*o - o + u = 0. List the prime factors of t(o).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2563 and 90?\nAnswer: 230670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z**3 + 3 - 5*z**3 + 6*z**3 - 3.\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -16 (b) -3154 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -965660, -965658, -965656, -965654, -965652, -965650?\nAnswer: -965648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, 11\/7, -16?\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**4 + 760*d**3 - 65302*d**2 + 537752*d - 820344 = 0?\nAnswer: 2, 7, 114, 257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**3 - 3*c**3 + 12*c**3)*(4 - 3 + 0) + 12*c + 2*c**3 - 6*c - 2*c.\nAnswer: 8*c**3 + 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -87 or -953\/11?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -31*g**3 - 328.\nAnswer: -93*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23.5 - 23.3. Let x(j) = -j**3 - 6*j**2 + 6*j - 4. Let k be x(-7). Which is the smallest value? (a) k (b) -0.5 (c) l (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 12120?\nAnswer: 12124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6295*w - 19 + 1 + 10 + 9 - 1)*(-32 + 29 - 14) to the form n + p*w and give p.\nAnswer: -107015","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3343, -3358, -3373?\nAnswer: -3388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162818 = 4*g + 2*q - 4*q, 0 = 5*g + q - 203526. What is the thousands digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3360899022?\nAnswer: 2, 3, 13, 3469, 12421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -123500 divided by -6175?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -419710980 and -419710978 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -13 - 4\/(4\/(-11)). Let x = 40.71 - 41. Let v = x + -30.71. Which is the second biggest value? (a) h (b) 0.5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 498 - 489 = 3*k + 4*a, -3*k - 3*a = -9. Suppose -i - 2*i = 0. Suppose -5*q = 15 + 5, 2*m + 5*q = -16. Solve -k*g - m*g = i for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22202 (base 3) to base 14.\nAnswer: 12c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -l - 8 - 2*l**2 + 41 - 6 as a + z*l + n*l**2 and give a.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6, 0, 6, 30, 78, 156, 270, 426?\n\"Answer: s**3 - 13*s + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -6*g + 1788. Let l(f) = -84 + 49*f + 84 - g*f. Let c(u) = u**2. Calculate c(l(d)).\nAnswer: 62001*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**4 + 4*b**4 + 0*b**4 + (-98*b - 12*b**3 + 98*b)*(-6*b + 15*b - 7*b) - 7*b**3 + 7*b**3 - 5*b**4.\nAnswer: -27*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 375 - 1123\/3. Put 4\/9, -2, n, 2\/27 in descending order.\nAnswer: n, 4\/9, 2\/27, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13788?\nAnswer: 2, 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 37*c**3 - 633*c**2*y + 2*c*y - 39234*y + 1 wrt c?\nAnswer: 111*c**2 - 1266*c*y + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/327 or -1?\nAnswer: 2\/327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 152 (base 7) to base 3\nAnswer: 10012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of f**6\/300 + 7*f**5\/200 + 13*f**4\/120 - f**3\/20 - 9*f**2\/10 - 37*f. Factor v(x).\nAnswer: (x - 1)*(x + 2)*(x + 3)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r - 2*m + 2, -3*m = -13*r + 98 - 81 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4*j**2. Let l(y) = 208*y**2. What is p(l(t))?\nAnswer: 173056*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93\/2*(-10)\/(-15) is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -9*b + 7*b. Suppose 2*p = p - 4, 2*x - 24 = p. Calculate the least common multiple of x and (-306)\/(-27) - 2\/b.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*-2*(-2)\/4. Suppose -4*u - 24 + j = 0. Let g(c) be the first derivative of -c**4\/4 - 5*c**3\/3 + 5*c**2\/2 - 3*c - 836. What is g(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006149 rounded to 5 decimal places?\nAnswer: 0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1915, -3749, -5555, -7321, -9035, -10685, -12259?\n\"Answer: 2*s**3 + 2*s**2 - 1854*s - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -129*w**6 - 4409*w**5 + 9253768*w**2.\nAnswer: -15480*w**3 - 264540*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2404 - 2404. Solve s = 5*a - 451 + 476 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20 and 15936182?\nAnswer: 318723640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 h when two letters picked without replacement from odhhohdtddhhdod.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 83328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2 + 1637759*t - 1637760.\nAnswer: (t - 1)*(t + 1637760)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f + 4490 - 4400 = 0. Let j(q) = -26*q + 4. Let o(l) = 53*l - 9. Calculate f*j(y) - 4*o(y).\nAnswer: 22*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*p + 12*p - 9807. What are the prime factors of p?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 460?\nAnswer: -464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 11:06 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.03, -5, -0.3, 12?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 3*b + 4. Let o be d(3). Find the third derivative of -a**o - 2*a**2 + 3*a**4 - 4*a**4 wrt a.\nAnswer: -48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 u, and 1 i when three letters picked without replacement from kkikukkiiijibbkjb.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 590610125 a multiple of 287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -273366, -2\/5, 17\/2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 8:40 AM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -5 (c) -3984931\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14\/(-28)*(0 - 3574).\nAnswer: 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, -84, 4, -3, -0.3?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1204 (base 5) to base 11\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*k**5 + 11*k**5 - 19*k**5 + (2 + 2 - 2)*(-k**5 + 3*k**5 - k**5) - 13*k**4 - 5*k**2 + 5*k**2 + 2*k**5.\nAnswer: 5*k**5 - 13*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5262 - 2?\nAnswer: -5264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**3 - 7*k**3 + 6*k**3 + 0*k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13883*j = -13936*j - 159 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, x: 1, v: 3, p: 4}. What is prob of picking 1 v and 1 b?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 86.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 57\/3610*5\/3. Put d, 0.5, 2, -2, -0.1 in increasing order.\nAnswer: -2, -0.1, d, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-195)\/30 - -8)\/(-2 - (-309)\/(-12))?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -12*o + 15*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 7*w. Suppose 3*r - 7*r + 20 = 0. Suppose r*s - 7 = -2. Let p be ((-2)\/(-6))\/(s\/18). Calculate b(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1180 and 120?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-35)\/(-15))\/((-4)\/(-18))*158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -6, -30, -74, -144, -246?\nAnswer: -386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 6233*v**2. Let q(r) = -320*r. Determine q(t(c)).\nAnswer: -1994560*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 2*k - 12)*(-6 + 1 - 4) + 0*k + 0*k - k.\nAnswer: 17*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 4*w = -2 - 50, 0 = -4*m + 2*w - 38. Let y be (-58)\/m + 5\/(-20). Let a = y + 2. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 - w**2 - w**2)*(3 - 3 - 3*w)*(4 - 4 - 2*w).\nAnswer: 6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/8*v**3 + 33\/8*v - 45\/4 + 3\/2*v**2.\nAnswer: -3*(v - 5)*(v - 2)*(v + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xtxjtajp. Give prob of picking 1 p, 2 x, and 1 j.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 46, 121, 260, 487, 826, 1301, 1936?\nAnswer: 2755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a + 3*a**3 + a - a**4 - 17*a**2 + 14*a**2 to the form p + f*a**3 + c*a**2 + l*a + x*a**4 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - 15. Let v(d) = -d**3 + 7*d**2 - d - 6. Let b be v(h). Round b to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2395 - 56. Let t = x + -1222. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + 2 + -23 - (288\/(-8) + 1)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8 (b) 0.1 (c) -54 (d) -78\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3000, -2, 21 in descending order.\nAnswer: 21, -2, -3000","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1773\/2115 - (-8)\/(-40). What is the nearest to -0.1 in -1\/4, u, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2374, -5050, -7726, -10402?\nAnswer: -13078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 103*x**2 - 7*x. Let c(b) = -206*b**2 + 13*b. Calculate 6*c(i) + 11*v(i).\nAnswer: -103*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -21441 and 21.\nAnswer: -450261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, e: 2}. What is prob of sequence ee?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -5*f**3 - 11*f**2 + 11*f + 11. Let x(y) = -y**3 - 2*y**2 + 2*y + 2. Determine 4*t(v) - 22*x(v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2. Let u(b) be the first derivative of 3*b**4\/4 - 25*b**2\/2 + 1. Let p(x) be the second derivative of u(x). Give p(a(f)).\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 20*m + 62. Let o be v(11). Does 11 divide -20 + o - (1 - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + (37 - (-11 + 3)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**3 + 3*n**2 + 167*n + 456. What is q(0)?\nAnswer: 456","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 65 + -68. What are the prime factors of 6\/(-9) - (c + (-3512)\/12)?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 - 30 + 45 + 10 - 56*x**2.\nAnswer: -56*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 27 - (4 - (-304)\/19) - (0 + 1). Solve -w = 12*o - 42 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 59.23 to the nearest integer.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2, 42, 132, 296, 558, 942, 1472?\n\"Answer: 4*r**3 + r**2 + 9*r - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -270 + 266. Suppose 0 = 5*f - b - 3, -4 = -3*f + 2*b + 2. Suppose f = -0*g - g - 3. Is s >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -19, -92, -195, -322, -467?\n\"Answer: j**3 - 21*j**2 - 17*j + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -2*l**4 + 11*l - 3. Find the first derivative of o(q) wrt q.\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -102.7105 and 0.1.\nAnswer: -102.6105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 12 = 0, 3*t - 546 = -65*k + 63*k. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 926046.\nAnswer: 2, 3, 11, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of -y**5\/18 - y**4\/18 + y**2. Factor q(m).\nAnswer: -2*m*(5*m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10281\/65 - -2064\/13. Which is the fifth smallest value? (a) -2\/11 (b) 0.04 (c) -7 (d) m (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 227197\/3012 or 76?\nAnswer: 227197\/3012","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 32 in -3\/2, 2, 5, 2\/13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 1, 0 in descending order.\nAnswer: 4, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of b**8\/252 - 2*b**7\/315 - b**6\/90 + b**5\/45 - b**2 + 2*b. Let v(r) be the first derivative of s(r). Solve v(p) = 0 for p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -7*n - 12. Let s = -6 + 12. Suppose -s*i - 65 = -i. Is v(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1227, 1180, 1131, 1080, 1027, 972?\n\"Answer: -t**2 - 44*t + 1272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 414*a**2 - 39*a + 38. Let j be y(1). Calculate the highest common factor of j and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -78 + 106. Suppose -3*x = -q - 15, -x - 4*q = -5*x + l. Let c be ((-12)\/20)\/(1\/(-5)). Solve -c*m + x*i = -7*m, 0 = m + 2*i + 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 362 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25757.\nAnswer: 43, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -4*q - 6. Suppose -4 = 2*g - q*g. Suppose 0*z + 2*l + 3 = z, 0 = -g*l + 16. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -113*x**3 + 71*x + 5*x**3 - 70*x - 58 + 12*x**3 wrt x.\nAnswer: -576*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q + 10. Let j be m(-3). Put -4, j, 5 in ascending order.\nAnswer: -4, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n - 77 - 119 - 40 - 51*n**2 + 3*n.\nAnswer: -51*n**2 - 2*n - 236","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 - -27. Do w and -4\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 6*h**2 + 2*h - 5. Let g be z(6). Suppose x - g = 5. Let y = x - -4. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11\/((-55)\/(-20)) - -7. Suppose 31449 = p*z + 7216. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 7275 = k, 4*k + 2*q + 2*q = 29140. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3*m = -2846, 22*c + 3*m = 17*c + 3559. What is the hundreds digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*u**3 + 14*u**2 + 18*u**3 - 19*u + 9*u**2 - 22*u**2 - 9*u**3 + 130 to the form r*u**3 + i*u + y + l*u**2 and give y.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.9 + -6. Let v be (-314)\/(-21) - 4\/14. Let j = v + -15. Which is the nearest to 0.1? (a) 1\/4 (b) j (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 + -7. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 8*r**2 - r - 7. Let l be y(-12). Suppose -2*h + 2*a = -5*h + 444, -4*h + a + l = 0. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4 + 1 + sqrt(117) + sqrt(117) + 0 + 2 + 1 + sqrt(117) + -1 + 4*(sqrt(117)*-1)**2 + 0).\nAnswer: 27*sqrt(13) + 1425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -k**5\/15 - k**3\/6 + 11*k**2. Let d(v) = v**3 + v**2 - 2*v - 1. Let f be d(-2). What is g(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 874653.\nAnswer: 3, 13, 41, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of q**8\/224 - 13*q**5\/60 + 5*q**4\/6 - 42*q. Let n(y) be the third derivative of i(y). Find the first derivative of n(k) wrt k.\nAnswer: 90*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1744, -309, -2362, -4415?\n\"Answer: -2053*f + 3797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-6))\/((-133)\/(-57))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0583491*-3.\nAnswer: 0.1750473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.39755 decades in months?\nAnswer: 2447.706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*c**4 + c**3 + 0*c**3 + 22*c**4 - c**2 + 4*c**2 - 2 as s*c**4 + n*c**3 + i*c**2 + b*c + x and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/2 of a litre?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y + p + 43, -5*y + 23954 - 23897 = 2*p for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 3:38 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4974, 4989, 5002, 5013, 5022?\nAnswer: 5029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*a**3 - 157*a**3 + 83*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-60))\/(4018\/1148)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -4. Let g be d\/(-4)*80\/(-6). List the prime factors of (-184)\/(-7) + g\/(-70).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2394 * 7\nAnswer: 16758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 56953886 to the power of 1\/3, to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1095?\nAnswer: 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 + g**2 - g - 1. Let v be q(-2). Let x be 2\/6 + 0\/v. Let o = -2\/23 + 31\/92. Sort o, -0.4, x in increasing order.\nAnswer: -0.4, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (75 - 3) + 1 + 0\/3. Suppose 0 = -t - 68 + u. Solve -k - 4 = -t*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65)\/(sqrt(20)\/sqrt(4)))**2 + sqrt(117)\/(1*sqrt(9)) - (sqrt(26)\/sqrt(2) + -5 + -3))*5.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 410*l**3 + 20495*l**2 + 256000*l - 3125 = 0.\nAnswer: -25, 1\/82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + s. Let n = 46 + -48. Let d(j) = j**3 - 5*j + 1. Calculate n*c(q) - d(q).\nAnswer: q**3 + 3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 - 79\/3. Let g = -0.494358 + 0.794358. Let p = 3 - 3.5. Which is the closest to z? (a) g (b) p (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 154101 - -41?\nAnswer: 154142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -249, -498, -747?\n\"Answer: -249*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 51776 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14 + -1e6e?\nAnswer: -1e5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 10*k + 7. Suppose -5*c = 4*z - 28 + 9, 4*z = -c + 23. Let r = z - 4. Let v(a) = -3*a - 2. Give r*m(t) + 7*v(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/17035 and 87\/50.\nAnswer: 170350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - z + 6. Let y be g(0). Let i(o) = -11*o**3 + 11*o + 11. Let k(r) = -5*r**3 + 6*r + 6. What is y*i(w) - 11*k(w)?\nAnswer: -11*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16512 in 1, -0.2, 13?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*d + 0 + 0)*(1 - 2 - 1)*(-4*d**2 + d**2 + 6*d**2) - 57 + 8*d**2 - d**3 - 115 - 5*d**2 to the form o + t*d**3 + r*d + z*d**2 and give o.\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((7 - 6 + 3)*(-5*s + 3*s**2 + 5*s) + (-3 + 2 + 0)*(-3*s**2 - s**2 + 2*s**2) + 3*s**2 - 2*s**2 + 0*s**2 - 3*s**2 - 4*s**2 + 4*s**2)*(2*s + 2*s - 2*s).\nAnswer: 24*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, r: 3}. Give prob of picking 4 o.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -13*s + 8. Let n(r) = 8*r - 5. Let l(z) = -8*n(z) - 5*p(z). Let j(a) = -a - 29. Give j(l(g)).\nAnswer: -g - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 11:28 PM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**3 - 16*p**2 + 13*p - 16. Let s(f) = -f + 7. Let q be s(-4). Let i be a(q). Suppose -15*c = -14*c - i. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -17 + (-8)\/(4 + 0). Let t = a - -70. Suppose -3 = -c, 2*c = -2*z - z + t. Calculate the smallest common multiple of 3 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 2\/(-4))*4. Let k = 19 - 16. Suppose 0 = k*w - l*w + 5*m - 26, w - 2*m + 2 = 0. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000427244 to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 5*o = -2*m - 6315, -2*m + 4*o + 12574 = 0. Suppose 3*r - r = 4*n - 12580, 0 = -r + n - m. Round r to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 - 81 - 40 + 146 - 70*a + a**2.\nAnswer: a**2 - 70*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 32 = 16. Calculate the remainder when 30 is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/253)\/((-98)\/(-14) - 26\/4)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.00964, -3, 1450, 0.6.\nAnswer: -3, 0.00964, 0.6, 1450","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 329, 617, 831, 935, 893, 669?\nAnswer: 227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 83, 174, 279, 404, 555, 738, 959?\n\"Answer: a**3 + a**2 + 81*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -175*z**5 - 125*z wrt z?\nAnswer: -3500*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**8)\/r**(-2\/5))**(-15) assuming r is positive.\nAnswer: r**(-141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 95\/30 - 1\/6. Suppose 4*j - 21 = x. Solve 0 = -2*y - 5*o - 4, -j*y = -3*y + o - 7 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x - 10*x + 4*x)*(2 - 3 + 2)*(-1 - 1 + 0).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 651398 at least 651398?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (r**2 - r**2 + r**2)*(23*r - r - 6*r) + (2*r + r - 4*r)*(-6*r + r - 5*r)*(20 - 20 + 11*r) in the form i*r**3 + z + w*r + l*r**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (588\/126)\/(21\/18). Let l = -1331.98 + 1346. Let t = 14 - l. Which is the second biggest value? (a) t (b) -1 (c) 5 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4713190734 to the power of 1\/6, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2672735834 to the nearest integer?\nAnswer: 1388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f - 4. What is the remainder when 39 is divided by g(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 280, 1146, 3190, 7000, 13164, 22270, 34906, 51660?\nAnswer: 73120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**3 + 23380*v**2 - 46855*v - 350850.\nAnswer: 5*(v - 5)*(v + 3)*(v + 4678)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3415 - -3395 - (1 + -65)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 126 = -128 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from ujjszusmmvusussusus.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -5 - (0 - -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 6*o**2 - o + 1. Let x be c(-5). Suppose -4*a = -x - 33. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l**3 - 5*l - 1. Let n(k) = 240*k**3 - 6 - 6*k - 235*k**3 + 4. Let t be -2 - -1 - -1 - -3. Let z = -1 + -3. Calculate t*n(g) + z*w(g).\nAnswer: -g**3 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 108 - 182. Let j = 463\/8 + u. Let z = 0.05 + 0.25. Sort -1\/5, z, j in ascending order.\nAnswer: -1\/5, j, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -4*b - 29 - 3\/2*b**2 - 4\/3*b**3. Let y(x) = -7*x**2 - 5*x - 7. Calculate -10*f(d) + 6*y(d).\nAnswer: -2*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-8\/15)*f*f**(-3\/10))\/(f**(-8\/3)\/f**(-3\/5)))**(-12\/11) assuming f is positive.\nAnswer: f**(-134\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(2)*-2))\/sqrt(6).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -443.27076329 + -18.\nAnswer: -461.27076329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v*v**(-8\/3))\/v))\/v*v**11)\/(v**5*v)**(-4\/9) assuming v is positive.\nAnswer: v**(49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -50 - 6. Is (285\/30)\/(2\/d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -22*w + 8 - 17\/2*w**2. Differentiate m(u) wrt u.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1568 (base 9) to base 6\nAnswer: -5312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4.2 and 0.073.\nAnswer: 4.273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/2 - 20087*i**2 - 403407209*i\/2 + 807135842.\nAnswer: -(i - 4)*(i + 20089)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s. Let r(x) = -1. Let m(p) = p + 3. Let y(b) = m(b) + 3*r(b). What is y(z(h))?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 254022 + -171361. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2101 - 69.698.\nAnswer: 2031.302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 4) + (23 - 8 - 10)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 165192425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + s = 20, 3*n + 2*n = -4*s + 38. Let t be 2\/(-3) - 64\/12. Let u = n - t. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -916*x**4 + 9492?\nAnswer: -3664*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3*x = -4. Suppose 4*w - 20 = x*w. Is (-15)\/w - (-35)\/2 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11945 * 462\nAnswer: 5518590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of a**7\/210 + 2*a**6\/75 + a**5\/50 - a**4\/15 - a**3\/10 + 941*a. Determine o, given that d(o) = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 25*j - 28*j - 1986, -4*f + 7931 = j. Is f a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/147 and 473 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 83752 and 61164952?\nAnswer: 2888","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*c + 0*c - c + (0*c - c - c)*(-1 + 5 - 3))*(0*c + 0*c - 3*c - 2*c + 2*c - c + (-1 + 7 - 3)*(-3*c - c + 2*c)) in the form t + d*c**2 + z*c and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(-5 + -1) - 2. Let t(n) = 12*n**2 + 2*n - 1. Let u be t(1). Let o be (-1)\/(3 + (-40)\/u). Solve -5*j - o = -r, 0 = -f*r - j + 4 + 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-665)\/25)\/(1134\/(-3240))?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + j**2 + 2*j + 114. Determine m(0).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 5*j**2 - 7*j + 4. Let g be d(6). Let q = 28 - 41. Let i = -4 - q. Put g, i, -4 in decreasing order.\nAnswer: i, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5*((-286)\/55)\/(-13) - -10. What is b in j*b + 48 + 1\/3*b**2 = 0?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(875)*2 - sqrt(35))\/(-3*sqrt(1008))*-5.\nAnswer: 5*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w - 13 + 10 - w**2 - 1. Determine x(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38684 + 38694.7291. What is u rounded to 1 decimal place?\nAnswer: 10.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**4 - 16*k**3 + 44*k**2 - 48*k + 18 = 0. What is k?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.6058 - 1.6. What is p rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.46 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 1 - 3 + 9*y**2 - 5. Let c(d) = -4*d**2 + 3. Determine 5*c(s) + 2*n(s).\nAnswer: -2*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/7, -0.2, 5, 3, 3\/2, -0.029?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -262 or -261?\nAnswer: -261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.0787 nanoseconds in seconds?\nAnswer: 0.0000000190787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 1. Let l(g) = 5*g**3 + 2*g**2 + 6*g - 5. Let m(i) = -l(i) + 6*z(i). Let p be m(6). Let u = -67 + p. Does 13 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -25 + 26924?\nAnswer: 268dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4*p. Let n(r) = 17*r - 2. Calculate f(n(j)).\nAnswer: -68*j + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11110 (base 2) in base 6?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 1)\/((-1)\/20). Let a be (k\/50)\/(1\/10). Suppose -o = -4*o. Put o, a, -4 in decreasing order.\nAnswer: a, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -22665 (b) 3\/5 (c) 2\/5 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 356, 559, 762, 965, 1168?\n\"Answer: 203*s + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -29889 divided by 9963\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -666 + 643. Which is smaller: z or -16?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 432*n**3\/5 - 19944*n**2\/5 - 59109*n\/5 - 42483\/5.\nAnswer: 3*(n - 49)*(12*n + 17)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -6. Let a(p) = 0*p - 2*p + 2*p - p. Give a(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43302 is divided by 92?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**0*p**(-3\/4))\/(p**(2\/3)*p**(2\/27)))**(-1\/10) assuming p is positive.\nAnswer: p**(161\/1080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1670 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 10994.33659811 and 0.44?\nAnswer: 10993.89659811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4519128235 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 32 = 8*c. Find the common denominator of 51\/8 and ((-30)\/(-50))\/(c\/(-5)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -84 in 1\/4, -2.5, 1, 0.1?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130160.\nAnswer: 2, 5, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 21*o**2 + 2*o - 1. Let c be q(1). Let n = -8 + c. Suppose k + 0*k = -4, 2*k = -2*h + n. Calculate the lowest common multiple of 10 and h.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bn when two letters picked without replacement from {z: 4, n: 2, b: 5}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6204 and 11994917?\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0072 + 507.0072. Let k = w - 506.25. Round k to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.7, -16, -1\/4, 4\/19, -3\/16?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13311004 (base 6) in base 3?\nAnswer: -211121002011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 + 603700*l + 3018450.\nAnswer: 2*(l + 5)*(l + 301845)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2029891*p - 2029891*p + 2810*p**3.\nAnswer: 2810*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**3 - 3*t**3 + 5*t**3)*(2*t**2 + 0*t + 0*t) - 4*t**5 + 2*t**5 - 5*t**5 + (4*t**3 + t**3 - 3*t**3)*(0 + t**2 + 0).\nAnswer: -7*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 96.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -60888\/77 and -791 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -86*a. Let u(c) = 5*c + 9. Let f(t) = -2*t - 3. Let b(n) = -3*f(n) - u(n). Give v(b(s)).\nAnswer: -86*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - 84. Let z = -56 - h. What are the prime factors of z?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/8)\/((-18)\/(-48)*52\/6).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 137, 5, 0.5, -17, -3\/10, 2\/15 in ascending order.\nAnswer: -17, -3\/10, 2\/15, 0.5, 5, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4305 and 328.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 4*n**2 - 3*n - 5. Let j be (-12)\/(-10)*-5*2. Let o be (-1 - 8\/j)*-6. Suppose o = -3*i + 17. Give u(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0125225 to 4 dps.\nAnswer: -0.0125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -56212, -56220, -56228?\n\"Answer: -8*s - 56204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 3*r - 2*h + 14, -r + 5*h - 23 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00094371 rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 28*m**3 - 6*m**2 - 120*m + 1259. Is n(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (-31 - -12) - (-2 - -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 30*v**2 + 15*v + 2135. What is n(-24)?\nAnswer: 5231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 g, and 1 b when four letters picked without replacement from {b: 3, w: 2, g: 3}?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 11*h**2 - 17*h - 21. Let p(c) = 6*c**2 - 10*c - 11. Give -7*p(a) + 4*v(a).\nAnswer: 2*a**2 + 2*a - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -309 - 2?\nAnswer: -30b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-3 - 15\/(-6)). Let v(k) be the third derivative of k**4\/24 - k**3\/6 - 14*k**2 - 6. Calculate v(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 197700 = 197700?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + f - 15. Let c be z(0). What is the remainder when 9 is divided by (7\/(-21))\/(1\/c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xwkwwxkkxwwwwh. What is prob of picking 1 x and 1 w?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2994 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + 682?\nAnswer: 681.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97, 198, 299, 400, 501, 602?\nAnswer: 703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -594695*k**3 + 61017*k wrt k?\nAnswer: -3568170*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 29\/5 of a tonne?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (-46 - (-14 + -4)) + 8 - (-1 - -7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + z + 1 = -2*a, -5*a = -4*z + 30. Let t be ((-60)\/(-25))\/(a\/(-5)). Solve k + 0*m - 3 = -2*m, k - m = -t for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 0*i**2 + 23 - 2*i**2 + 0*i**2 + 5*i + 3*i**2 + 47. What are the prime factors of k(-22)?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*z**4 + 474*z**3 - 619*z**2 + 138*z.\nAnswer: z*(z - 1)*(z + 69)*(7*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -259 + 159.9. Let f = 99 + r. Which is smaller: f or -60\/11?\nAnswer: -60\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/(-16) + (-4659512)\/(-16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h - 84 - 293 = 0. Let s(k) = k**2 - 9*k - 5. Calculate the remainder when s(-6) is divided by h.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/14 - 138\/(-42). Suppose w - o = -0. Let z(r) = 90*r - 4 - 78*r**2 + 40*r**2 + 37*r**2 - 86*r. Calculate z(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3 + 7172*w**2 + 14356*w + 7180.\nAnswer: -4*(w - 1795)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-13 - 14) + 0 + 11\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 85652160481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of 0 + 3*g**2 - 2\/3*g**3 + 3*g. What is the first derivative of b(j) wrt j?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(-42)*(-288)\/240. Is f at least 0.0066?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -8) + 0 + (1 - 0 - -8).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 155980 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20\/7 - 8\/7*j**3 - 94\/7*j + 58\/7*j**2.\nAnswer: -2*(j - 5)*(j - 2)*(4*j - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1)\/4)\/(-4*(-2)\/(-39488)).\nAnswer: 2, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 + -26. Suppose -p*t + 7 = -8. Suppose 0 = -t*b + 7*b - 118. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from htmmth. What is prob of picking 1 t and 2 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -5836.69376 to the nearest 100.\nAnswer: -5800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 16) to base 13\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 297127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**3 + 8*l**2 - 12*l - 6. What is s(3)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1305861401?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/5 - (9 + -4 + -4). Let z = 30.4 + -28. Let y = z - -0.6. Which is greater: y or h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -5*n + 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 31219 divided by 6?\nAnswer: 31219\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -503.7 or 0.07?\nAnswer: -503.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + 60*q - 733. Let s be y(43). What is the closest to 35 in 0.3, -1, -5, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/(-3))\/((-82)\/1353). Let y be (32\/i)\/(1\/3). Are -3 and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w + 17. Suppose -14*x + 10*x - 36 = 0. Let o be a(x). Let u = o - -96. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 261*r - 253*r - 16 = 0. Factor 0*c + 8\/3 - r*c**2 + 2\/3*c**3.\nAnswer: 2*(c - 2)**2*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -466 >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1152)\/(-600))\/(183\/305)?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -4*l - 2*m - 4, l - m = -3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*4\/4 - -168. Suppose -d = 5*d - n. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 9. Let u(h) = 2*h**2 + h. Let a be u(m). What are the prime factors of (a*2)\/(2\/21)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 5*i - 4*i = -13, -6 = 3*w + 4*i. Let x = -27 - -32. Suppose g + 24 = 3*b - 2*g, 16 = b - x*g. Solve -b + w = u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2945?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2285909 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a decade?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*y - 38*y - 140 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 713145?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 19, -35, 16, -1 in ascending order.\nAnswer: -35, -1, 12, 16, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7)\/28*(-2)\/3. Suppose -y + 1 = 4. Let u be 2 + ((-48)\/21 - (y + 3)). Which is the nearest to -1? (a) 1 (b) u (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 449541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**2\/7 + 736*w\/7 - 67712\/7 = 0. Calculate w.\nAnswer: 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -4 + 4*a**2 + 3*a**3 + 1 + 0 + 7*a. Let j(g) = -2*g**3 - 2*g**2 - 4*g + 2. What is -7*j(u) - 4*t(u)?\nAnswer: 2*u**3 - 2*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 475290388685 + 3.7\nAnswer: 475290388688.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 12:20 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d - 11*p + 16*p + 5, 29 = -5*d + p for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 123836.2951 + -123844. Let b = 7.7 + h. What is b rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 174335 - 174335. Factor 0*l**2 + 2\/5*l**3 + 0*l + i + 1\/10*l**4.\nAnswer: l**3*(l + 4)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1514 + 1683. Calculate the lowest common multiple of 312 and g.\nAnswer: 4056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01801589 rounded to three dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 332875 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 + 26. Suppose -5 - x = -r. What is the highest common factor of r and 144?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3042 = -2*b + 3*d - 762, -3418 = -3*b + 4*d. What is the highest common divisor of 126 and b?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/30 and -49\/14155128?\nAnswer: 70775640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -7. Suppose -s*a + 16 = -a. Suppose -2*z + z = -a. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 20 = -2*b, -4*s - 19 = -b - 4. Let f(i) = i - 7. Let y be f(b). Factor 3*o**3 + 2*o**4 - 7*o**y + o**2 + 0*o**3 + o**2.\nAnswer: -o**2*(o - 1)*(5*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -79\/424 in -0.05, -2, -1, 0.2, 7?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n**2 + 7*n + 7. Let x(o) = o**2 + 2*o + 2. What is -2*q(r) + 7*x(r)?\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 14. Suppose -p*i + 18 = -132. Is i a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0108 at most as big as -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 92 and 694531?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -b1 (base 13) to base 6\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - 1013*i + 8182. Let w be z(8). Let q = 0 + 14. What is the highest common factor of q and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/19)*c**(-1\/40)*(c**3)**30 assuming c is positive.\nAnswer: c**(68301\/760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/105 and -43\/63.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -50 + 59. Suppose 0 = 3*m - 2*s - 1338, -2*m + 0*s - 4*s + 876 = 0. Suppose 0 = i*h - 13*h + m. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*(sqrt(11) + sqrt(11) + 3))**2.\nAnswer: 192*sqrt(11) + 848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -386*n*q*x**2 + n*q*x + n*x + 1414*n - 78013*q*x**2 - 674*q*x - 7*q wrt x?\nAnswer: -772*n*q - 156026*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of 7*u**5\/30 - u**4\/12 + 7*u**3\/3 + 12*u**2. What are the prime factors of y(-4)?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2821 + 1799 = 181*w + 576 - 2110 for w.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68838\/(-101178) + (-2)\/(-3) - (1\/(-1) + 1)?\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1432 and 436.\nAnswer: 156088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 0*p = 2*w - 6, -2*w + 6 = 0. Let q = 0 + 4. Suppose o = 3*o - q*t - 72, -5*t - 20 = p. Calculate the greatest common factor of o and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27701 - 28093 = 8*j for j.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-seven halves of a millimeter?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -6754*a**2 - 114815*a + 3. Give t(-17).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -99 + 19. Let w be ((-1)\/(-4))\/(p\/(-160)). Suppose -100 = -5*f + 3*r, w*f = f - 2*r + 7. List the prime factors of f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, b: 7}. What is prob of sequence ebb?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*s + 33, i - s = -0*s - 17. Let h = -9 - i. Let z = 5 + h. Calculate the highest common divisor of z and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1707 + 1699. Let g(l) = -l**2 - 9*l - 8. Calculate g(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2941390 is divided by 1470246?\nAnswer: 898","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (6 + -3)*(7\/(-1) - (-640)\/96)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 19 = j, -4*b + 15 = 3*j - 17. Let a be 5 + 5\/(-20)*0. Find the third derivative of 2*r**2 + 7*r**2 + b*r**5 + 5*r**a wrt r.\nAnswer: 600*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136458724 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35\/((-385)\/6))\/(4\/48*6).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57813869 to the nearest integer?\nAnswer: 7604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + h + 1. Let d(q) = q**3 + 2*q - 3. Let j(y) = 6*a(y) + 2*d(y). Find the second derivative of j(n) wrt n.\nAnswer: 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 262, 1418, 3470, 6418, 10262, 15002, 20638?\nAnswer: 27170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of m**4\/12 - 7*m**2. Let r(z) = 6*z. Determine d(r(x)).\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 8*x**3 - 79*x**2 - 68*x - 13. What is the tens digit of z(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*f - 6*f - 11820. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 8100819533?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46927095?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -875*x - 1743. Let k be l(-2). Let b = 5 - 1. Sort k, 0, -5, b.\nAnswer: -5, 0, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1029 in -0.5, 0.5, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.169 times -47.9826?\nAnswer: -8.1090594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-2)\/(-32) - 3\/12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mummuuuumuuuumummmum. Give prob of sequence umu.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -139033 equal to -139038?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -2\/13 (c) 3\/8 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 259 and 308.\nAnswer: 11396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -4 + (7 - (0 - 3 - -3))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -784 divided by -8?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*2*(-5)\/(-30).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**3 - 60*z - 59*z + 119*z.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 8:22 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 23, 58, 109, 176, 259, 358, 473?\n\"Answer: 8*s**2 + 11*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 58413531 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.654 and -75?\nAnswer: 76.654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23*f**2 + 114*f**2 + 38 + 6 - 9*f**2 + 3*f**2 wrt f.\nAnswer: 262*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuuuuuubuuuu. Give prob of picking 4 u.\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -3*u - 5*d, 4*u - 39 = -0*u - 3*d. Let n(j) = -j**2 + 9*j + 5. Let b be n(u). Suppose 3*a = -b*g + 143, -66 = -5*g - 4*a + 73. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1))**(-48)*(y**(3\/4)\/y)\/y**(2\/11)*(y**(-3\/4)*y\/y**(-1\/6))**33 assuming y is positive.\nAnswer: y**(1349\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 127 - 121. Suppose 2*s + 3*l = -18, 2*s - j*l = -l - 2. Let o(n) = -9*n + 7. What is the units digit of o(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1416460534?\nAnswer: 2, 67, 10570601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 9. Let u be (8\/50)\/(192\/20 + -10). Which is the closest to 0? (a) n (b) 4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 6\/10) + (-111)\/(-185)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 i when three letters picked without replacement from {i: 5, a: 15}.\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 - 191542210*n + 1834420910584205.\nAnswer: 5*(n - 19154221)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -119404132 >= -119404132?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-14\/11))**(-9)\/(u\/(u**(-2\/97)*u))**40)**(-46) assuming u is positive.\nAnswer: u**(-521732\/1067)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.22596 + -6.98884. What is a rounded to 1 decimal place?\nAnswer: -7.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 508 - -69957. Let y = v + -4298575\/61. Let d = 4689\/671 + y. What is the common denominator of d and 13\/31?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -762*-4394.\nAnswer: 3348228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 309075?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1020484021?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 7*i + 20 = d, -3*i = d + 4. Suppose 0 = -b + d*b - 20. Is (-1332)\/(-15) + 1\/b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 590.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 6\/455170505 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*o + 16 - 16 + (0*o - 4*o + 3*o)*(-2 + 4 - 4))*(-o + 0*o + 3*o)*(-1 - 1 - 2)*(-1 - 3 - 1).\nAnswer: 1160*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7968 + 7969.0105. What is w rounded to two decimal places?\nAnswer: 1.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2318 and 418.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9098249 divided by -3.\nAnswer: 9098249\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - m + 3 = 0. Let q(h) = 3*h**3 - h**2 - h + 1. Let j be q(m). Solve -j*c = 3*c - 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 13) in base 11?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -4. Let r(k) = -3*k**3 - 2*k**2 + 2. Let q be r(-1). Let a be (20\/q)\/(42\/189). Put 0, a, t in descending order.\nAnswer: a, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 e when two letters picked without replacement from vwrnvvverv.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l - 2. Let t be z(3). Let x be (-26)\/5 - t\/55. Let m = x + 7. Calculate the highest common divisor of 6 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -26, -14, -2, -10 in ascending order.\nAnswer: -26, -14, -10, -7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -5. Let q be (-3)\/(-9) + u\/3. Suppose 5*h = 5*i - 45, h - 3 = -q*i - 2*i. Solve 0 = m + i - 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -46, -61, -76?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 6:10 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 16*u**2 + 4*u - 9. Calculate f(16).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 130*v**5 - 25005*v**4 + 257645*v**3 + 1683170*v**2 + 1005720*v + 115840 = 0. Calculate v.\nAnswer: -4, -1\/2, -2\/13, 16, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2788*l**4 + l**3 - 11*l**2 + 431929 wrt l.\nAnswer: -11152*l**3 + 3*l**2 - 22*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 1782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 245 + 8575148606\nAnswer: 8575148851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 + a**3 + 5*a**2 - a**2)*(5*a**2 + 3 - 3).\nAnswer: 5*a**5 + 10*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/9, 2\/51, -49, -74?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 (base 9) in base 16?\nAnswer: -4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ve when two letters picked without replacement from vevvevvvv.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -773 minus -3267?\nAnswer: 2494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 12*s**2 - 14*s - 19. Give t(-13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4309*g - 15887 + 15887 + (2*g + 0 + 0)*(2 - 1 + 1))*(-2 - 2 + 1 - 4) to the form w + m*g and give m.\nAnswer: 30135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 5*s**2 + s - 1. Suppose -5 = -p - 0*p. Let z be j(p). Suppose z*v = 2*v. Solve -t - 3*t = v for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0734 and -0.05?\nAnswer: -0.00367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 294?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ess. What is prob of sequence ess?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10465634?\nAnswer: 2, 373, 14029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 1. Suppose -6*g = -s - 24. Suppose g*j = o - 156, o + 3*o = 3*j + 590. List the prime factors of o.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**(-2\/5)*t)**(2\/61)*t**(-4\/3)*t**3*(t**(-5)\/(t**4*t))**(8\/5) assuming t is positive.\nAnswer: t**(-13037\/915)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 2*t - 17 = -3*j, -5*j + t = -11. Sort 5, -1, -2, j in descending order.\nAnswer: 5, j, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14.5 - 14.601. Round r to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 2*l**2 - 5*l - 3. Suppose -m - 3*u = -15, 4*m - 5*u = 3*m - 17. Let n(w) = -w**3 - w**2 - w - 1. What is m*n(f) - z(f)?\nAnswer: -2*f**3 - 5*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffqxfxxfqfxxxffff. What is prob of sequence fxx?\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -131571 * -1051.\nAnswer: 138281121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27 - -11) + 4 + -1 + 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (18\/(-5295))\/(-7*2\/(-70)). Let t = k + -28\/39889. Are t and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18550 divided by 274.\nAnswer: 9275\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 2\/3, -6, 14, 11\/2 in ascending order.\nAnswer: -6, -1\/4, 2\/3, 11\/2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6891 + -8?\nAnswer: 6883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -27\/20 (b) -1\/4 (c) -2\/35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1152938 is divided by 849.\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = h + 251, 0 = -0*d - 2*d + 2*h - 98. Let r be (-5)\/(d\/4)*15. What is the greatest common divisor of 24 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 15*j - 26. Calculate v(-18).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 3*l - 4. Suppose -3*i + l = 2*o - 16, -5 = -5*o. Suppose -4*s + i*r = 9 - 89, -4*s = -4*r - 80. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 14390, 28762, 43134?\n\"Answer: 14372*h + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 5*y - 5*y)*(-401*y - 34*y - 82*y)*(2 + 0 + 5).\nAnswer: 7238*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -736 and 0.042?\nAnswer: -30.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -5. Let s be 2\/(-12) - (-38)\/o. Suppose s*q - 5*g + 7 = -0*g, 5*q - 45 = -3*g. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15939*r + 2*r**2 - 8*r**2 + 15895*r as p*r + g + j*r**2 and give p.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37715?\nAnswer: 5, 19, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145194 divided by 10371.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, -0.4, -12, 0.32, -1\/2 in ascending order.\nAnswer: -12, -1\/2, -0.4, 0.01, 0.32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (295*b - 4*b - 34 + 32)*(1 - 1 + 2*b**2).\nAnswer: 582*b**3 - 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4195?\nAnswer: 5, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vaprppvp. Give prob of sequence pa.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y - 1. Let g(j) = -3*j - 22*j - 1 + 2 + 0 + 5. Determine 2*g(b) + 11*v(b).\nAnswer: 5*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (78\/5)\/((-6)\/30). Let b be s\/(-90) - (3 + -2). Which is greater: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*i, -o - 2*i = -i. Let z(b) = -b**3 + b**2 + 3*b + 2. Let y be z(-2). Solve o*j + 2 = -5*d, 3*j - d - 4*d = y for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -503, -1538, -2149, -2336, -2099, -1438, -353?\n\"Answer: 212*a**2 - 1671*a + 956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 (base 12) in base 15?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*c - 74 = -13*c - 4*c + 4*i, -3*c = -2*i + 80 for c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -111, -226, -341, -456, -571?\n\"Answer: -115*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -10 (b) 3 (c) -2 (d) -1\/4 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 28 = -2*l, 5*k - 9 = -0*l + 4*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -o**6\/120 - o**5\/10 + 5*o**4\/24 - 7*o**3\/6 + o**2. Let b be l(-7). Solve w = 4*m - 1, -5*w + b + 5 = -3*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 13\/3, -119, -1\/5, 83?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -6201, 2\/27 in ascending order.\nAnswer: -6201, 2\/27, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/4)\/(60\/48)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1792340 rounded to the nearest one thousand?\nAnswer: 1792000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + 924596.604?\nAnswer: 924596.404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) + 1 + sqrt(11) + -5 + (sqrt(539)*-1 + -1 - sqrt(539)))**2.\nAnswer: 70*sqrt(11) + 564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 3*u + 1 + 16, 0 = -2*c - 3*u + 7. Suppose -8 = -2*o - c*n, 3*n - 6 - 1 = o. Which is bigger: -2\/21 or o?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 x when three letters picked without replacement from xmmmmmxmmm?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -5. Let l = b - 2. Suppose -5*a + 12 + 28 = l. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 21\/5 of a century?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12534152421 - -158.2?\nAnswer: 12534152579.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 112308 or 112307?\nAnswer: 112307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 596, 1192, 1786, 2378, 2968, 3556, 4142?\nAnswer: 4726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -930, -1267, -1828, -2613, -3622, -4855?\nAnswer: -6312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 77792569?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-2*sqrt(17) + -2*sqrt(17)*-2.\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 50*c + 47*c + 21 = 0, -t = -15*c - 27 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1230448290?\nAnswer: 2, 3, 5, 4801, 8543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 546.38 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-651)\/124*4 - -22?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2441 divided by -19?\nAnswer: 2441\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 712557?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69712298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of x**4\/48 - x**3\/4 + 9*x**2\/8 - 8*x. Let v(p) = 0. What is p?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18915 at most -8989?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 24850849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -11*j**2 + 14*j - 27*j + 2 - 4*j**2. Let v(o) = -7*o**2 - 6*o + 1. Let w(d) = -6*u(d) + 13*v(d). Give w(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**2. Let m(l) be the first derivative of 1 + 0*l**2 - 2\/3*l**3 + 0*l. Give k(m(u)).\nAnswer: -8*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or 225\/16?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1101 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + 6*i + 12. What is the least common multiple of s(7) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k + 20. Let r be o(0). Suppose -4*p - r = 0, -4*v + 6*p - 4*p + 158 = 0. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 3*x + 5*f, 366 = 5*f + 326. Let l(a) = 0*a + 2*a + 1 + 0*a**2 - 14*a**2 - 11*a**2. Give l(x).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -395*d**2 + 180*d**2 + 207*d**2.\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -164, -155, -146, -137, -128?\n\"Answer: 9*x - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/((-24)\/(-4))*(-4)\/8.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**2 + 0*w**2 + 0*w**2 + (w - w - 2*w)*(-w - 2*w - 2*w) - 1 + 1 + 2*w**2 + (5*w - w - 2*w)*(0 + 2*w + 0) - 6 + 5*w**2 + 6 - w + w - w**2.\nAnswer: 17*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 2:48 PM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (-1 + 2 - -8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89 = 71*h + 18*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 7*q**2 + (3 + q - 3)*(3*q + 4*q - 6*q).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4143, -4282, -4421?\n\"Answer: -139*c - 4004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 170 and 4658?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -18.569?\nAnswer: 5.5707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*a + 17*a - 33*a. Let r be (a - 1) + 198\/154. Determine f, given that r*f**3 + 24\/7*f**2 + 100\/7 + 90\/7*f = 0.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 8*y + 89. Calculate z(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10522 (base 6) to base 5\nAnswer: 21430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-14)\/(-6))\/(0 - (-1)\/291).\nAnswer: 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-6))\/((-1)\/(-15)). Let k(a) = 4*a**2 + 4*a**2 + 0*a**2 - n*a**2. Let f(u) = -u. Calculate k(f(i)).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -694998.15 rounded to the nearest ten thousand?\nAnswer: -690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-8))\/(3\/(-4)). What is the closest to l in -1\/7, -0.3, -3\/5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-98 + 61 - -6) + -46\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -54154 less than or equal to -1.468?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.594202m in nanometers?\nAnswer: 6594202000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 5*g + 2. Let o = -169 - -169. Let j be y(o). Determine r, given that 0 + 3\/5*r**j + 6\/5*r = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34942?\nAnswer: 2, 17471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 5 + 1)*(-233*l**2 + 119*l**2 + 3 + 116*l**2) + 0 + 0 - 2*l**2 to h*l + p*l**2 + x and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5\/12 + -11\/12. Let a = 34\/107 + 39\/214. What is the closest to 0.3 in -2\/11, a, r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -4*m. Suppose -8 = -6*s + 2*s. Suppose 0 = -s*r - 3*r + 5. Determine x(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 205*c - 209*c + 15789, 3*c - 6317 = -2*p. Calculate the remainder when p is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2625 (base 9) to base 10\nAnswer: 1967","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*z + 8 = 2*n, -3*n - 5*z + 52 = 0. Suppose -11*s + n*s = 18. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + (-2)\/(-8)*1. Suppose 242*u = 250*u - 0 - 8. What is the nearest to d in u, 0.4, -1\/6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -32 and -0.16?\nAnswer: 5.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 3\/8, 0.218?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3740 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -161, -577, -1271, -2243, -3493, -5021?\nAnswer: -6827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/13 - -9\/26. What is the nearest to j in -10, -2\/3, -3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 4 (c) 1.5 (d) 11\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -355 (base 8) in base 13?\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 5275786\nAnswer: 2110314.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11969 take away 8?\nAnswer: 11961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -53952.55 + 0.5\nAnswer: -53952.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 14 = -18*u + 20*u, 2*v = 6 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(1*1\/59) - 3. Let d = -44 + h. Suppose 4*m - 1368 = d*m. What is m rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 38 + -92 + 1*(-1 + 0). Let w = 85 + y. Suppose 15 = d - w. Does 45 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 20*w**2 - 29809*w + 118881. Determine b(4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -1490?\nAnswer: -1495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-325220)\/560 - (2\/(-1))\/(-8). Which is bigger: p or -585?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3019672\/19832211 + 15\/44971. Let a = b - -2\/49. Suppose -165*i - 30 - 833 + 203 = 0. Sort a, -1\/3, -2, i in ascending order.\nAnswer: i, -2, -1\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53240 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 17 - 14 - (-4 + (-1 - -3))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 780846655?\nAnswer: 5, 101, 1546231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b = 27 - 54 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 < -1\/267?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13.9 - -14. What is the third biggest value in 0, f, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.47 (b) -2 (c) 1 (d) -4 (e) 0.4 (f) -27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1465, 2951, 4435, 5917, 7397?\nAnswer: 8875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.7 + 49.7. Let y = -39.5 + p. Sort y, 1\/3, 7, -0.5 in descending order.\nAnswer: 7, y, 1\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-5) + 4\/10. Let x be 2\/(-8) + 0 + 0. Let g = 2 + -3. Which is the third smallest value? (a) g (b) x (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62274480 and 4069?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -207131*x**3 - 83*x + 158.\nAnswer: -1242786*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1595382 and 2652.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 65 - 64. Let n(o) = 4 - b - 4 + o**2 + o**3. Suppose 0 = -5*u - k, -3*k + 6 = 4*u + 17. Calculate n(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 5*p**3 + 6*p**2 + p - 6. Let o(q) = q**3 + q**2 - 1. Suppose j + 5 = 0, 5*x + j = x - 9. Calculate x*r(k) + 6*o(k).\nAnswer: k**3 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = f + 30, -13*f - 3*s + 25 = -29*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(288) + 2 - sqrt(288)) + 1 + -6*sqrt(50).\nAnswer: -30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 148 + -43. List the prime factors of t.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j - 6. Let l be u(7). What is the derivative of -6*z - l + 4 - z wrt z?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 2888811\nAnswer: -5777622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 + 46194*j + 177823803.\nAnswer: 3*(j + 7699)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -16*q + 2. Let p(t) = 12*t - 2. Calculate 5*k(h) + 6*p(h).\nAnswer: -8*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 70 - 61. Let s = 6 - l. Let b be s - (-23 + (-2 + 4 - 4)). Calculate the greatest common factor of b and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + 146. Let z = q + -110. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9340.816 + -9300. Let h = r - 41. What is h rounded to 2 decimal places?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -66*k**2 - 33*k - 33. Let j = 13713 + -13712. Let r(c) = c**2 + c + 1. What is j*i(q) + 33*r(q)?\nAnswer: -33*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 11:09 AM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g**2 - 5*g - 5. Let c(k) = 28*k**2 + 6 + 0*k - 17*k**2 - 14*k**2 + 6*k. Suppose -8*m = -4*m - 8, 4*o = -5*m + 30. Calculate o*c(i) + 6*v(i).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8843 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -244, -552, -984, -1540?\nAnswer: -2220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3\/6433 - -40445\/19299. Calculate the common denominator of b and -19\/30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -72*(-8)\/(-896)*4\/(-36).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 5*g - 3*p + 60, g = -2*p + 10. Solve 3*l + g = i, 4*l + 5*i + 5 = -0*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3244.\nAnswer: 2, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9326252 or -9326231?\nAnswer: -9326231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 302 or 303?\nAnswer: 303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05089670152 plus -3?\nAnswer: -3.05089670152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.2 (b) -20 (c) -2 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-105)\/1260)\/((-3 - -2)\/12)*-13.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**3 - 9*z**2 - 5*z - 3. Let d(b) = b**3 - 9*b**2 - 3*b - 2. What is -2*a(g) + 3*d(g)?\nAnswer: -g**3 - 9*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14.282 + 14.2. Let z = t + -43.918. Is z equal to -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002759 to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13912.51 - -14066. Let o = -1.51 - l. Which is smaller: 2\/7 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40 + 190. What is the greatest common factor of d and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(1\/5)*p*p**(-2))\/((p\/(p\/(p\/p**(2\/39))))\/p*p**27*p))**(-33) assuming p is positive.\nAnswer: p**(59521\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -6*x**2 + 5*x + 2. Let h(u) = -u**2 + u + 1. Let p(l) = -c(l) + 4*h(l). What is the remainder when 3 is divided by p(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/30 + (3392\/(-240) - -14).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j + 2. Let d be f(-1). Find the second derivative of -2*q**4 + 6*q + d*q**4 + 4*q**4 wrt q.\nAnswer: 72*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = 3*b + 4*m - 49, 4*b - 37 = m. Let l(o) = 3*o**2 - 15*o + 66. Does 6 divide l(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 18 + 12. Let a be (-2)\/3 - w\/(-6). Suppose -4*p - 1 = -5. Is a bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7002 or 6675?\nAnswer: 7002","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1369 or -1367?\nAnswer: -1367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 20875 = -0*d + 2*m, -4*m = -5*d + 20905. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - 1 - (-1 - (2 - -6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2074 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: Expand (568*f + 6*f - 239*f)*(-f + 2*f + 0*f)*(9 - 9 + 10*f).\nAnswer: 3350*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40*q**2 + 14 - 133*q**2 + 47*q**2 + 48*q**2 + 16*q.\nAnswer: 2*(q + 1)*(q + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 s when two letters picked without replacement from sjjljfllsllljljl?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1439 + 1440. Let j = 1 + -1.6. What is the third smallest value in v, 3, j, 0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66 and 176?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 7:05 PM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 302 - -23330213?\nAnswer: 23331121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 26571.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/82816 and 35\/18.\nAnswer: 745344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -96, -195, -294, -393?\nAnswer: -492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2379 - 6837 = -6*j. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (45 - 52) + -1 + 5 + -15\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 61 * 199.31\nAnswer: 12157.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 47\/5 of a century?\nAnswer: 940","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of -327*z**4\/4 - 3311*z**3\/3 - 2*z**2 + 3*z - 9. What is the derivative of k(p) wrt p?\nAnswer: -1962","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**3 + 873240*i**2 + 27941376*i + 223524864 = 0.\nAnswer: -291048, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - a + 4. Does 30 divide y(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -94.2 + 486.2. Let q = -387 + d. Put -1\/4, -5, -0.2, q in descending order.\nAnswer: q, -0.2, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -218 - -216.99. Let k = 0.71 - r. Let t = -0.28 - k. What is the nearest to t in 6\/7, -1\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g - 13 = -13 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -846386, -1692928, -2539466, -3386000, -4232530?\nAnswer: -5079056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - (4 + (-111)\/3). Let p be ((-22)\/4)\/((-1)\/x). Suppose -2*k + 248 = 3*k - t, 4*k - p = -3*t. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17489 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 380231952 to the nearest integer?\nAnswer: 724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 938180.9 rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*o - 4*a + 60 = 0, 2*o - 132 = -4*a. Suppose r - o = -5*g, 0 = -3*r + 2*g + 44 + 223. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3140 is divided by 119?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((-432)\/1760 + 2\/10). Suppose -w*c = -34*c + 288. Calculate the highest common factor of 104 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifteenth of a decade?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 459 + 100*h + 104*h - 212*h. Calculate the remainder when 28 is divided by x(55).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 14*r**2 - 12*r + 13. Let x be w(-13). Suppose -9*a - 193 - 482 = x. Let c = -89 - a. Which is smaller: -2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, m: 1, o: 1, n: 3}. What is prob of sequence oc?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*y**4 + 0)*(-11 - 20 - 8).\nAnswer: -78*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 0 = -3*s. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 268 divided by 4.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 133571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 11*q**2 - 23*q + 345. Determine a(11).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 198497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2295.7 - -3.\nAnswer: -2292.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 207 - 71. Let v = 209 + -101. Let d = r + v. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and 96890.\nAnswer: 96893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 6*m**2 + 126*m + 368. Calculate the remainder when 1007 is divided by b(-3).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 4.7. Let o = 3 - z. Let t = 35196 + -35192. What is the third biggest value in t, 1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3*m**3 + 78*m**2 + 29*m - 756. Let r be w(26). Is -8.688 bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 41514 and 1188.\nAnswer: 747252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -88.806 * 2\nAnswer: -177.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -460452*n. Let w(y) = 27*y**2. Determine w(i(l)).\nAnswer: 5724433196208*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 4*k + 5. Suppose 13 + 17 = n. Let s = n - k. Calculate the greatest common factor of 51 and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -519 = -2*x + 295. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 21216?\nAnswer: 21214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 5 + 3 = -2*c, 3*d = -4*c + 5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -66.17 + 67. Let j = -0.830026 + d. What is j rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11938*o - 1269 - 327 = -12022*o for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**5*k**(-4))\/(k**(-1))**(8\/15) assuming k is positive.\nAnswer: k**(23\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by -1.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19 and 16853.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 4*m - 36 = -9*f, 0 = -4*f - 5*m - 18 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -57 + 52. What is the third biggest value in -0.4, -2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 + 649517*d**2 + 105469057591*d + 316401327147.\nAnswer: (d + 3)*(d + 324757)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 16005.857 rounded to the nearest one hundred?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0346559 to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -20, -5, 28, 85, 172?\n\"Answer: i**3 + 3*i**2 - i - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*a - 9*a + 33*a + 12*a - 2 as v*a + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 63*(-15)\/60)\/(8\/32 - 0)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 12, -1\/7, 3167, -5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(17)*-1 + sqrt(17) - (sqrt(17) + -2 + sqrt(153) + sqrt(17) + sqrt(17)))**2 + -5.\nAnswer: -32*sqrt(17) + 1087","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2*t = -2*t - 54, -5*j - t + 91 = 0. Suppose 4*n - j = -3. Let c(d) = 6*d + 5*d**2 - d + 4 - n*d**2. What is c(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 13*f - 405 = -10*f, 0 = 4*q - 4*f + 356. Let v be 4\/(-7) + (-62)\/q. What is the closest to v in 0, 0.1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b02bb + 2?\nAnswer: -1b02b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -2.5 (c) 359 (d) 1\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2637 in 1\/3, -5, -2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 106, 238, 394, 574, 778, 1006, 1258?\nAnswer: 1534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9088361*c**4 + 3948704?\nAnswer: 36353444*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 43 - 92 = 0. Solve -7 = -i - 3*j, -i - 5*j + m = 4*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3015.999999498 - 3016. What is t rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 41\/5 of a gram?\nAnswer: 8200","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 427 smaller than 414?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jkk when three letters picked without replacement from jkykjjjkjkkjjkjx?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13795 and 155?\nAnswer: 13795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) 0.4 (b) -3 (c) -0.4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hiik when four letters picked without replacement from {k: 1, f: 1, o: 1, i: 2, j: 1, h: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 196520, 196523, 196526?\n\"Answer: 3*u + 196517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -477*s - 2 + 294*s + 0.\nAnswer: -183*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 126 and 168?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - i**2 - i + 36. Let j be (-4)\/(-22) + (-60)\/330. What is m(j)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -x**6\/21 - 4*x**5\/35 + x**4\/14 + 4*x**3\/21 - 22. Let o(u) = 0. What is u?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -395.845384 rounded to the nearest integer?\nAnswer: -396","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 67082971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 196846580 to the nearest 1000000.\nAnswer: 197000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((8\/2)\/52)\/(12\/(-24))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/((-371)\/(-6))*1. Let h = g + -435\/371. Let c = 319\/15 + -3647\/120. What is the common denominator of h and c?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 plus -14370?\nAnswer: -14341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -36, -78, -108, -120, -108, -66, 12, 132?\n\"Answer: w**3 - 49*w + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 = -10*j - 3. What is the remainder when 140 is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/3 + 1\/3. Suppose 54*c - 3037 - 761 = -157*c. Calculate the remainder when c is divided by (7\/4)\/(d\/(-8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 102, 39, -4, 5, 0 in ascending order.\nAnswer: -4, 0, 5, 39, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(1872) + -1*sqrt(1872)*4 + sqrt(1872) + -5 + -4 + 0 + sqrt(1872) + sqrt(1872))**2.\nAnswer: -1944*sqrt(13) + 151713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/2584 and 111\/170.\nAnswer: 12920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1222, -5, -91?\nAnswer: -0.1222","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2933*a**2*s**2 + 10704*a**2 + a*s**2 - 97*a*s - 10*a - 37*s**2 + s + 2 wrt a.\nAnswer: -5866*s**2 + 21408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 0.02, -1\/4, 2\/121?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/2704 and 39\/22.\nAnswer: 29744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z + 8. Let v(t) = t**2 + 4*t + 17. Determine -13*c(o) + 6*v(o).\nAnswer: 6*o**2 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 539 + 2026 = o, 5*o - 12915 = 3*c. Let n = -1687 + o. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 650 and 24778.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -887, -888, -889?\nAnswer: -890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 27163*m**2 + 5 - 27158*m**2.\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 - 44 + 64 - 7*c)*(2*c**3 - 2*c**3 - 2*c**3).\nAnswer: 14*c**4 + 6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3*245\/15)\/(-1). Find the common denominator of (-50 + c)\/(3\/(-61)) and -32\/127.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*r + 4. Suppose 0 = -r*c - 15, -c = 3*j - 231. What is the remainder when j is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6701759579\/3196 - -2096921. Find the common denominator of k and -23\/16.\nAnswer: 12784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 5*n**2 + 16*n + 10. Let j be f(8). Let d = 108 + j. Is d even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h + 1. Let k(a) = 13*a + 6. Determine -k(n) + 5*u(n).\nAnswer: -8*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 272 + 55 = o, 0 = 4*o + 4*y + 848. Round o to the nearest 10.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202 (base 12) to base 4.\nAnswer: 10202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*d**2 - 181730*d - 1998425 = 0. Calculate d.\nAnswer: -36335, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 90 = -20. Suppose j = 4*v + 35, -v + 0*j - h = 5*j. Is (-306)\/(-21) + v\/(-21) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 3:53 AM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*b = -0*b + 1739, 3538 = 2*s - 4*b. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, f: 2, a: 3, c: 4}. What is prob of picking 1 f, 1 e, and 1 c?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2484570 equal to -14907421\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6647 and 282693.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -83.\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 10:47 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*(y*y**1)\/y)**47*(y\/((y*y*y**2*y)\/y)*y)\/y**(-2\/35) assuming y is positive.\nAnswer: y**(4867\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60108500 by -4.\nAnswer: -15027125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 + d**3 + 32*d**2 - 6*d**3.\nAnswer: -4*d**2*(d - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26334016 and 128.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165969231?\nAnswer: 3, 97, 643, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 5*o**2 + 7*o - 3. Let g be z(-6). Let t = -6 - g. What is the greatest common divisor of 6 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 221*g**2 - g - 6. Let r be u(8). Suppose -r = 4*q - 13*q. Suppose -2*s = 3*s + 5*a - q, -2*s - a = -631. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2051 is divided by 441.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46288 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -128+346517356\nAnswer: 346517228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -981778, -4, 73 in decreasing order.\nAnswer: 73, -4, -981778","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - s - 16. Let b be -6 + (-39)\/(-6)*-2. Suppose -f - 3*f = -5*i - 51, -f + 39 = 4*i. Let t = f + b. What is m(t)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*h = 47*h + 42. Solve 3*s - 1 = -h for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49975327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -254 - -260. Suppose 4*v = -z*v - 4*v. Which is smaller: -3\/46 or v?\nAnswer: -3\/46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/5 + (6186\/30 - 6) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 7*x**2 - 17*x - 2. Let n(m) = 6*m**2 - 15*m - 2. Let g(j) = 6*n(j) - 5*q(j). Let i be g(-1). Solve -2*d = c - 5*c - 2, 7 = -i*c + d for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2024 and -0.275?\nAnswer: -556.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 83 + -67. Suppose 0 = 12*i - t*i + 56. Let x = -21 - -90. Calculate the remainder when x is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2 + -5 - (6 + -89) - 1.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 226165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 59*k**4 + 2*k**3 - 30*k**4 - 27*k**4 + (-12*k**2 + 7*k**2 - 9*k**2)*(-2*k**2 - 4*k**2 + 4*k**2).\nAnswer: 30*k**4 + 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 24*n**4 + 162172*n**3 + 189072*n**2 - 648688*n - 756672 = 0.\nAnswer: -6756, -2, -7\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4 - (4 - 8 - 164).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2761\/1464 - -2\/183. Let i = l + 27\/8. Let x = -2 + 2.3. Which is the third biggest value? (a) x (b) -3\/2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104 = -22*w + 87 - 15 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 212012230032 (base 4) to base 7\nAnswer: 150622044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-20)\/5)\/(1\/1). Let m be 1\/b - (-303)\/12. Solve 5*n = -5*d + m, 2*n - 21 = -5*d - 5 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4550 = -4*m + 6408, 5494 = q + 5*m. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of 0*z**3 + 1\/4*z**4 - 6*z**2 + 0*z + 1\/30*z**5 + 0. Find the second derivative of l(q) wrt q.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 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: Round -0.0000387305 to 6 dps.\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92, -1444, -4058, -7934, -13072?\nAnswer: -19472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.23 - 46396606.59\nAnswer: -46396606.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.22, 20, -0.05, 0.3, 0.1, 0.04?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -29. Suppose 35 = -3*f + 4*z, 7*f = 9*f - 4*z + 30. Which is the third biggest value? (a) 0.1 (b) f (c) -2\/9 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-25)*((-6)\/(-4))\/((-39)\/65)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(99) + sqrt(99) + 2 + 0) + (sqrt(99) + sqrt(99)*-2 + -5 + sqrt(99) + 5)**2.\nAnswer: -18*sqrt(11) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.07766 - -0.00234. What is the third biggest value in 5, 38, 3, -0.2, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2*q - 5 = 3, -4*h + 16 = q. Suppose -1 - 19 = -4*b, -2*b = h*g - 366. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 r when two letters picked without replacement from {r: 7, z: 12}.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3385305 and 300916.\nAnswer: 13541220","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 3*o = 9, -2*w = 59*o - 72*o - 7 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence td when two letters picked without replacement from ndnvddttmdtnmddvn.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u = -21*u - 110*u + 5125 for u.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/162 and -43\/81?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 + 904\/64)*(9 + -17)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110001 + -10000?\nAnswer: 100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 216 from 1.004886.\nAnswer: -214.995114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/2)\/(3\/(-6)). Let v = 51.454 + 0.446. Let y = -52 + v. What is the third smallest value in t, y, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20 in 1\/7, 1\/6, 0.23, 4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -67*v - 42 + 23*v - 20. Is x(-10) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -111*i + 3 + 3*i**2 - 2*i**2 - 17*i**3 + 4*i**2 - 1 - 1 wrt i.\nAnswer: -102*i + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 48\/5 of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - i = -3*g - 13, -5*i - 3*g + 11 = 0. Solve -i*n + 2 = 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h**(1\/17)*h)\/h))**(-8\/9) assuming h is positive.\nAnswer: h**(-128\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 2*s - 3. Let d be 280\/(-36) - 2\/9. Let b be (-44)\/16 - 6\/d. Give m(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w - 4*w + 2*w)*(-4 + 5 - 2) - 25*w - w - 12*w to the form x + t*w and give t.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -141 + 135.1. Let z = 0.9 + n. What is the second biggest value in -3, z, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18252836.\nAnswer: 2, 7, 103, 6329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 786037528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -41515, 3, 1 in decreasing order.\nAnswer: 34, 3, 1, -41515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1168, -5\/3, 0.3, -0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = m + 294, 58 = c + 3*m - 4*m. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2*o**3\/5 + 26*o**2 + 10036*o\/5 + 19536\/5 = 0.\nAnswer: -44, -2, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-2)\/((-1)\/(2\/4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vrqyzyrrrv. What is prob of picking 1 y and 1 z?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + sqrt(171)*1*-5 - ((5*(sqrt(171) + -1*sqrt(171)) - sqrt(171)) + sqrt(171)))*-2)\/((sqrt(1350)*-1)\/((sqrt(48)*2)\/sqrt(8))).\nAnswer: -16*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, z: 2}. Give prob of picking 1 z and 1 a.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j + u - 11, -349*j + 348*j + u = 7 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 97 - 94. Find t such that 0*t + 0 + 6\/5*t**2 - 3\/5*t**j = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1319773 * -0.035.\nAnswer: -46192.055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 5) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 1) + (-5 - (8 + -10))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -1) + (-7 - -8 - -11) + -15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.09 + 0.29. Let f = 6 + -16. Let a = -6 - f. Put -2\/7, a, t in ascending order.\nAnswer: -2\/7, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1)\/m)**(-3\/44)*m**(-3\/8)\/(m\/(m*m*m**(2\/13))))**(-29) assuming m is positive.\nAnswer: m**(-30363\/1144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 26. Let x = 23 - r. Solve -x*z = h - 5*h + 16, 3*h = 2*z + 14 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.01 - 108.99. Let m = -104.63 - s. Let g = m - 0.07. Round g to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/23)\/n**34 assuming n is positive.\nAnswer: n**(-780\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110111111011101 (base 2) to base 5.\nAnswer: -1404022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1100) + 2*sqrt(1100))*-1)**2.\nAnswer: -60*sqrt(11) + 9901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (18\/(-5))\/(-3) + 18\/(-90). Let h(d) = -3*d**3 - d**2 - 5*d + 5. What is h(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/28 and 115\/42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5436807682?\nAnswer: 2, 173, 15713317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 19*x**3 - 6*x**2 - 7*x - 13. Is 26 a factor of z(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*s + 6 = 17*s, 5*o = 3*s - 41 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/129922 and 75\/4.\nAnswer: 259844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f + 30. Let m be ((-8)\/(-12))\/(6\/(-63)). Let a be j(m). Suppose -s + a = -41. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12547 in -5, 5, -245?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j - 5002 + 5026 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -64a1650 (base 11) to base 3.\nAnswer: -210111022011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1178 and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 13*q + 7. Determine x(5).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 - 13642.063.\nAnswer: -13652.063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 2*d - 21, -d + 12*x - 10*x - 12 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2*-2*(-1)\/(-14)*1\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4096*q**2 - 36951*q + 779. What is m(9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 9. Suppose -4*s = 20, -2*q + f = 4*s + 26. Let i(k) = -k**2. What is i(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 4\/5 (b) -2\/9 (c) -0.04 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -968 - -8?\nAnswer: -960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -200?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -4*m**3 + 4972*m**2 - 19801*m - 28497. Give b(1239).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, l: 6, y: 1}. What is prob of picking 1 u and 1 l?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1862, 15176, 51408, 122030, 238514?\nAnswer: 412332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + p = 12 - 5, 28*p = 84 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223140 is divided by 17073?\nAnswer: 1191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*m + 6*m - 19*m + 0 + 2*m + 0 + (3 + 1 - 2)*(-2*m - 2 + 2) + 4*m + m - 6*m)*((5 - 3 + 0)*(4 - 3 + 1) - 5 + 2 + 5).\nAnswer: -138*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98 - 98 - 203*h**3 + 329*h**3 - 128*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w + 8. Let b be u(-6). Suppose -18560 = -b*x - 2*x. Suppose -5*k = -10360 - x. What is k rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z = -6*z - 276725 + 276707 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 5*z**2 + 2*z - 1. Let m be r(-3). Let a be (-3 - -1) + m + -9. Solve 2*n + a*p + 2*p = 0, 5*p = -n + 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 648 is divided by 110.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -177*j - 19794. What is c(-112)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3381 times 0.1\nAnswer: 338.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4a + 2209a3?\nAnswer: 220954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1031, -14, 67 in ascending order.\nAnswer: -14, 67, 1031","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, u: 3, w: 3, z: 1, s: 3}. Give prob of picking 2 s.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 23*n - 32 = 0. Put -1\/3, 0, 1\/2, n in decreasing order.\nAnswer: 1\/2, 0, -1\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q + 814 = -2046. Does 12 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*q**2 + 8*q**2 + 43*q**2 + 3*q**2 - 4834.\nAnswer: -2*q**2 - 4834","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 855238*t*x**3 + 7337*t*x**2 - 3704*t - 30*x**4 wrt x?\nAnswer: 5131428*t - 720*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 s, and 1 b when four letters picked without replacement from {s: 1, r: 6, b: 1, c: 10, p: 1}.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14708616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 863, 8929, 30819, 73445, 143719, 248553, 394859?\nAnswer: 589549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*h**2 - 5*h**2 - 356*h + 51*h - 4*h**2 + h**3 as i*h**3 + j + l*h + q*h**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + 4 + 4*h - h)*(2*h**4 + 1 - 1)*(2 - 1 - 3).\nAnswer: 4*h**5 - 16*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*v - v + 3*v)*(13*v - 31 + 31) - 2*v**2 - 4*v**2 + 3*v**2 as m*v + c*v**2 + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 10*n - 2*n**2 + 0*n**2 + n**2 + 3. Let f be y(7). Calculate the common denominator of 3\/(f\/19)*-6 and -9\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((30\/(-3))\/1)\/((-6)\/(-3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 9. Let h = m + 1. Solve 0 = -l + h, 0*o - 2*o = 3*l - 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -1\/4 (c) 2\/3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 a factor of 576598791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -s**5\/15 + s**4\/3 - s**3\/3 + 10. Factor a(w).\nAnswer: -w**2*(w - 3)*(w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of r**2\/2 + 11*r + 4. Give c(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l**4 - l**4 + 3*l**4 + (-3*l + 5*l + 0*l)*(0*l**3 + l**3 + l**3) + 240*l + 33*l**4 - 240*l.\nAnswer: 35*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 242*r + 9. List the prime factors of z(11).\nAnswer: 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1457 + 1462.93. Let x = -0.07 - o. Sort x, -3, 0.2 in ascending order.\nAnswer: x, -3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 2*g = -10, -5*g + 3 = -3*b + 24. Suppose b*k = -3*k + 55. Let s be 88\/(-55)*(5 - 60). Calculate the highest common divisor of s and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(19) - sqrt(19)) + -2)*3 + (sqrt(399)\/sqrt(7))\/sqrt(3) + -5)**2.\nAnswer: -88*sqrt(19) + 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r - 1538 = -1538. Let m(y) be the first derivative of 5\/3*y**3 - 4*y**4 + r*y + 29 + 0*y**2. What is the third derivative of m(o) wrt o?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 42 + 24*c + 11*c - 37*c. Let d(h) = -h + 14. Give 8*d(f) - 3*t(f).\nAnswer: -2*f - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15\/6*176824\/460. What is the greatest common divisor of 620 and t?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 1. Let u = r - 1. Let w = 344 - 1722\/5. Which is smaller: w or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of s**6\/12 - 13*s**4\/12 + 21*s**2. Find the second derivative of h(i) wrt i.\nAnswer: 60*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -73*z**3 + 12*z**2 + 43*z + 1. List the prime factors of p(-4).\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k - 4*k - 2*k)*(-2*k + 2*k + 3*k)*(3 + 1 - 3).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -2 - (10 + -4 + 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -7*l**3 + 31*l**2 - 55*l + 308. Calculate a(5).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -10202132 (base 5) to base 12\nAnswer: -40bb7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 293068649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*g + 16*g + 684 = -47*g for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -0.5538?\nAnswer: 0.5538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**2 - 705*w - 2160.\nAnswer: 5*(w - 144)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 11011001101010001100?\nAnswer: -11011001101010001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3 = -4*z, z + 12 = 23*f - 27*f. Which is the fourth smallest value? (a) -2 (b) f (c) -10\/31 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (140\/12)\/5*3. Let l = h - 8. Which is smaller: 2\/9 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2078 + 2249. Suppose f - 1 = 18. What is the greatest common divisor of f and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0821896 to 3 dps.\nAnswer: -0.082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 6*j**2 - 2*j - 11. Let u = -10 + 15. Let y be a(u). Suppose -5*o - 2*h + 242 = -2*o, y*o = -5*h + 318. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -8*o + 25. Give b(7).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -v**5 - 452*v**4\/3 - 541*v**3 - 290*v**2 + 1772*v\/3 + 392 = 0.\nAnswer: -147, -2, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1269 and 88304634.\nAnswer: 88304634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**3 + 69147*v**2 + 2418884*v - 2488032 = 0. Calculate v.\nAnswer: -69112, -36, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -27.4 * 0.06\nAnswer: -1.644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 913605611?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90115.\nAnswer: 5, 67, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*d = 3*d + 19 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 4*h + 8, 2*h + 6 = -y - 0*h. Let c be y - (2 + 1 - 23). List the prime factors of c\/(-56) - 704\/(-14).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 5 - -2 - -11) + -96 + 87 + 82.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 185 - 184.9. What is the nearest to 2\/15 in a, -2\/11, 1\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 3 (b) -2\/5 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/11)\/j**13)\/(j**(-12)\/((j*j**(2\/5)*j*j)\/j)) assuming j is positive.\nAnswer: j**(67\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 33*l - 80*l + 43*l. Let a(x) = 3*x**2. Determine s(a(w)).\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 14 = 3*j. Let g(r) = r**3 - 6*r**2 - 8*r + 4. Determine g(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44\/22*(42\/(-4))\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 106808 and 8058.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - -28. Let l be 5 + -2 + s - (1 + 0). Let h = -86 + 122. Calculate the highest common divisor of h and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 6*n = 22. Suppose 17 - 39 = -n*x. Suppose -5*m - 13 = -4*k + 12, -5*k - x*m = 10. Solve k = -2*q + 6*q + 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, g: 2, t: 6, m: 4, w: 4, n: 2}. What is prob of picking 1 n, 2 b, and 1 g?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47311.\nAnswer: 11, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6 - 1) + 10*2\/(-2). Put 255, r, 4 in increasing order.\nAnswer: r, 4, 255","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 66 - 71. Put 0.3, -35, u in increasing order.\nAnswer: -35, u, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/6)\/((-1)\/(-3) + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 4 + 0 = 0. Let l be (a\/(-3))\/(3 - 1). Find j such that -1\/3*j**3 + 1\/3*j - l*j**2 + 1\/3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -171*c**2 - 10*c + 11. Let b(m) = 341*m**2 + 17*m - 19. What is -5*a(j) - 3*b(j)?\nAnswer: -168*j**2 - j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(891) + 0) - (sqrt(891)*-2 + -5))**2.\nAnswer: -180*sqrt(11) + 3589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 5 = 1 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-1\/8)*a)\/a**3)**(11\/2))**20 assuming a is positive.\nAnswer: a**(-935\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (42\/(-6))\/(-1)*257. Let w be 4\/(-6) + f\/3. What is w rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 188134, 752544, 1693238, 3010216?\nAnswer: 4703478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.077568 rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.884 rounded to 1 decimal place?\nAnswer: 5.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0.5, 3\/35, -31?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.954 rounded to the nearest integer?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.62 - 5.71. Round z to zero dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a decade in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9784*2.\nAnswer: -19568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2007 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kozoruuzruukz. What is prob of picking 2 u, 1 o, and 1 z?\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -322.9 rounded to the nearest ten?\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -6, -13\/460, 0.2, -0.03 in increasing order.\nAnswer: -11, -6, -0.03, -13\/460, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89394.47 millilitres to litres.\nAnswer: 89.39447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -8?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 990? (a) 0.0551 (b) -0.13 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6680299500 to the power of 1\/2, to the nearest integer?\nAnswer: 81733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*y**2 - 26*y**2 - 20*y**2 + 130*y + 57*y**2.\nAnswer: -5*y**2 + 130*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18591998)\/(-14) + (4 - 162\/42). Round i to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 357852363 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -47, 1, 22, 5, 0, 2.\nAnswer: -47, -29, 0, 1, 2, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k + 1. Let s(p) = -53757*p + 53757*p + 84*p**2 + 0*p**2. Determine s(w(d)).\nAnswer: 84*d**2 + 168*d + 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-29)\/(-4) + (-455)\/(-1820). Solve -1\/6*v**4 + s*v + 25\/3 - 13\/6*v**2 - 3\/2*v**3 = 0.\nAnswer: -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 115.4 - 115.466. What is d rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2264 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4*l = 27. Let v be (l\/(-2))\/((-1)\/2). Suppose -6*i + 2*i - 19 = -y, 104 = 4*y - 2*i. What is the greatest common divisor of v and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5496, 10966, 16516, 22176, 27976, 33946, 40116?\n\"Answer: 5*h**3 + 10*h**2 + 5405*h + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5*i = -26 - 6, 64 = -4*d - 4*i. Is ((-15108)\/18)\/(d\/18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -149 + 27 + 136 - (1 - 27)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -h**5\/30 - h**4\/9 - h**3\/9 - 5*h - 8. Let u(q) be the first derivative of o(q). Suppose u(w) = 0. Calculate w.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o**2 - 32*o + 14. Let f be d(-11). What is the third derivative of -2*k**2 - 4 - 12 + 9*k**4 - 7*k**2 + 7*k**f + 18 wrt k?\nAnswer: 216*k + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -1117*v**2 + 686*v - 712. Calculate w(1).\nAnswer: -1143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 13*t + 15. Let n(x) = 7*x + 8. Let f(s) = 11*n(s) - 6*u(s). What is f(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*34.2818\nAnswer: 10.28454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9725347?\nAnswer: 9725347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2288, 2349, 2410, 2471, 2532?\nAnswer: 2593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 17 + 33 = 0. Is 5\/10*m + 422 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -2189\nAnswer: -5\/2189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/16 and 11\/9588.\nAnswer: 38352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24498475*n**4 - 2667*n + 2887 wrt n?\nAnswer: 293981700*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -195, -3, -56.\nAnswer: -195, -56, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 25039 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 divided by 102?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 543116720.\nAnswer: 2, 5, 6788959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -315, -99, 117?\nAnswer: 333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*w**2\/4 - 1899335*w\/4 + 569805\/2 = 0. What is w?\nAnswer: -75974, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -227, -2, -14, -17, -3 in ascending order.\nAnswer: -227, -17, -14, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2111771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/8, 4, 19, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/133459?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2560)\/(-120))\/16*2. Let b = 30 - 119\/4. Put b, u, 4 in increasing order.\nAnswer: b, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - r = r - 10, 9 = 3*b + 3*r. Suppose b*z = 107 - 19. What is the least common multiple of z and 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 3:37 PM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d - 10*d**2 + 3 - 8*d + 6*d. Let z be w(12). Let v be 9\/(-15) + z\/5. What is v rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, g: 2, r: 1, x: 1, c: 2}. What is prob of picking 2 j, 1 c, and 1 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -19*a + 2. Let g be o(-1). List the prime factors of -2 + (g - -3) + -2.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -46665422.1427 and 1?\nAnswer: 46665423.1427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -43240.\nAnswer: 12972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5008238 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -4*o - 7. Let n be j(-3). Let l be 2\/2 + 15\/n. Let f(q) = q + 1. Give f(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t - t + 3*t)*(179 - 392 + 150).\nAnswer: 63*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 120 = 4*c. Let o be ((-6)\/4)\/((-12)\/c). Find the second derivative of -o*p**5 + 4*p - 7*p**4 + p**4 + 6*p**4 wrt p.\nAnswer: -100*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1984 (base 11) to base 9\nAnswer: -3401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -343636 at most -343640?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - -27 - (-3 - (-11 + 12 - 13)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 32120?\nAnswer: 32121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1194 - -25543?\nAnswer: 26717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8 + 46*h**2 + 74*h + 8 wrt h?\nAnswer: 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 - -33. Let t be z - 1*(-3 - -7). What is the greatest common divisor of 40 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.06, -21, -0.06, 2\/7?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.076 (b) 2\/9 (c) 19 (d) 0 (e) -1\/4 (f) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 231, 458, 685, 912, 1139, 1366?\n\"Answer: 227*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 0*t + 18. Let b(c) = 2*c + 1. Let u(o) = -3*o - 1. Let f(p) = 5*b(p) + 3*u(p). What is f(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-64)*-2*160\/100*135\/(-3).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -5*m + 62050, -2*m + 83240 = 3*j - 102884. List the prime factors of j.\nAnswer: 2, 3, 5, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*b - 7, -2*h - b = -6*h - 29 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*q - 4*q - 10 = 0, -25 = -3*x - 2*q. Suppose -950 = -x*a + 2*a. Suppose 3*z + 98 = -0*p + p, 0 = -2*p + 4*z + a. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -34047244.\nAnswer: 5\/34047244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r - 3. Suppose -9 = -6*a - 33. Let u be n(a). Let z be (u + -10)*(3 - 2). Let y(h) = -9*h**2 - h - 1. Give y(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -17\/6*d**3 - 13\/2*d**2 + 0 + 5*d. What is the derivative of f(m) wrt m?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10791 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1202 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6312\/10 + 1\/(-5) - -5.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -475.4 or 90\/179?\nAnswer: 90\/179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.096995 litres in millilitres?\nAnswer: 8096.995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -904 - -965. Is 61 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of a*w**3 + 3002149*a + 56924*w**3 - 11*w**2 wrt w.\nAnswer: 3*a*w**2 + 170772*w**2 - 22*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 899 divide 3151611714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1604962?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3729 or -3542?\nAnswer: -3729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1076 greater than or equal to -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(288) - (sqrt(288)*-1)**2))*-3 + -3 + 1.\nAnswer: -36*sqrt(2) + 856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 3*k + 4. Calculate g(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 30 = 5*g, -2*s - 2*g = -16 + 4. Suppose -16*a = -715 + 28 + 31. Let q = s + a. Is 4 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4591496099?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(80) + 2 - (sqrt(20)*4 + -1)) + -3 + (1 + sqrt(405) - sqrt(405))*-2*2)**2.\nAnswer: 32*sqrt(5) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((sqrt(108) + 2*sqrt(108))*4)\/sqrt(9))\/(sqrt(64)*-2*2).\nAnswer: -5 - 3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 70 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r - 5. Let l(q) = -q - 3. Let c(v) = 3*g(v) - 5*l(v). Let b(w) = 5*w. Determine c(b(f)).\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rvvvvvvvvvvvvvvvvvvv. What is prob of picking 3 v and 1 r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32997051.\nAnswer: 3, 17, 31, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 6*b**2 + 12*b - 2. Let v be (-17)\/(-51) + 82\/6. Suppose 11*p - 24 = v*p. What is the units digit of h(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + c - 1. Let d be k(0). Put d, -5, 2 in increasing order.\nAnswer: -5, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-38) + 7\/(-14).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4111 + -4111. Which is the third smallest value? (a) 5 (b) w (c) -0.0702\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3513*q - 613.\nAnswer: -3513","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 395770 and 1710?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1206*m**2 - 5180 + 4*m**3 + 5180 - 28*m**4 - 29*m**3 wrt m.\nAnswer: -672*m - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -181*w**2*y**2 - 2*w**2*y + 2*w + 5*y**2 wrt w.\nAnswer: -362*y**2 - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2065\/5565 + (-10)\/265. What is the fourth biggest value in 9, -12, 2, k?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of 7*o**7\/540 - 7*o**6\/90 + o**5\/9 - 2*o**4\/27 + 62*o**3 + 118. Let i(k) be the third derivative of x(k). Solve i(c) = 0 for c.\nAnswer: 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/12*-1)\/((-2)\/8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1412\/3 + (-6 - (-64)\/12). Let s = c + -863\/2. Let x = -8947\/12 - -746. What is the common denominator of s and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 788584 a multiple of 1200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 762 or -12350?\nAnswer: -12350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**3 - 212*w**2 - 56*w + 918. Let d be u(-106). What is the highest common divisor of d and 138?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*a = 19 + 73. Let x be (26 - 17) + (-70)\/a. What is the highest common factor of x and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -6*g**3 - 6*g**2 + 2*g. Let r(f) = -25*f**3 - 25*f**2 + 9*f. Let i = -7440 - -7442. Determine i*r(q) - 9*y(q).\nAnswer: 4*q**3 + 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 178, 3, -97 in increasing order.\nAnswer: -97, 3, 178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -8*a + 345. Let g = a + -49. Solve 2*l + 0*k = -5*k - 19, -g = -5*l + k for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -6*t + 281. Let f be w(34). Calculate the greatest common factor of 176 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 950*b - 5710. Give m(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5589709557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 6. Let l be x\/3*(13 - 10). Put 3, l, 2 in ascending order.\nAnswer: l, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (23\/((-966)\/180))\/(2\/(-308)). Suppose 16*m - l = 4*m. Let o be (9\/(-3) - -16) + 0 + -2. Calculate the greatest common factor of o and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37160?\nAnswer: 2, 5, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) -62.3 (b) -0.2 (c) -1\/15 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 254*c - 2. Let n(a) = -2*a**2. Calculate h(n(p)).\nAnswer: -508*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6566 or 831?\nAnswer: 831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/5 in 3, 13, -5, -28?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t + 2*t + 49 - 15*t - 3 + 5*t as f*t + u and give u.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -688*r - 20354. Give h(-28).\nAnswer: -1090","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 minus 2299826601?\nAnswer: -2299826717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 11. Suppose -3*j = -p + 1. What are the prime factors of -3 + (-4 - (-36 + j))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 17*n**2 + 23*n + 96. Determine i(-18).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3411?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*z**2 - 67*z**2 - 29*z**2.\nAnswer: -81*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.22 - -4.92. What is the nearest to -1 in 0, -1\/4, k, 7\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 9:53 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 111 + -109.07. Let u = -10.93 + x. Put u, -2, 2\/7 in descending order.\nAnswer: 2\/7, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ool when three letters picked without replacement from lollllloolll.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 1 = -2*z - 5, z = 2*b - 18. Let p(i) = i**2 + 7*i - 10. Let o be p(z). Let k = o - -7. Let r(g) = g**2 - 6*g + 3. Calculate r(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -1 (c) -3 (d) 5 (e) 91 (f) 4\/7 (g) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 38253843 to the power of 1\/3, to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -188 divided by 1.\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2182?\nAnswer: 2, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 29 = z, 4*g + 3*z - 87 = 29. What is the remainder when g is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -91 and -0.014.\nAnswer: 1.274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 56, 49, 42?\n\"Answer: -7*g + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 41*s - 56*s. Suppose -4*c - 1 = 15. Let x = -2 + 2.5. What is the nearest to s in c, 0, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*t + 560 = -14*t. What is the lowest common multiple of 12 and t?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 12*z**2. Let r be v(1). Suppose -2*p + c - r = -6*p, 5*p + 5*c = 0. Suppose -9 = p*b + 11. Sort b, -1, -0.4 in descending order.\nAnswer: -0.4, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -13*u + 17*u for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 191.3377043 to the nearest integer.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, p: 1, n: 2, b: 1, y: 2, v: 2}. Give prob of picking 1 p, 1 y, and 1 b.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88639 is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 720\/72*(-6)\/5?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 11:39 AM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -34 + 33436145?\nAnswer: 33436111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 + -13. What is the least common multiple of (-4)\/((r\/6)\/(-5)) and 7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -7*h**2 - h**3 - 16 - 52857*h - 52858*h + 105706*h - 1. Give x(-4).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*h - 17*h**2 - 102*h + 84*h.\nAnswer: -17*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*o - 9*o = -19*o - 2100 for o.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 14*h**2 - 3*h + 2. Determine u(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 6*m**2 + 2*m - 5. Let t be j(6). Find the first derivative of -t - 12*p**4 + 5 - 5 wrt p.\nAnswer: -48*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 394.7 and 0.5.\nAnswer: 395.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-4))\/((-2)\/(-4)). What are the prime factors of 2*-22*o\/(-12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4*a + 15*a**2 - 2*a - 2*a. Let c(v) = -v**2. Give c(b(s)).\nAnswer: -225*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 13, -54, -157, -290, -447?\n\"Answer: k**3 - 24*k**2 - 2*k + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 333b (base 12) to base 6.\nAnswer: 42115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 437 + -432. Suppose 0 = 4*a + a - 100. Suppose c = -3*p + a. What is the highest common divisor of p and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - j = -6. Suppose -2*c = -3*z + 7, -z + 6*c - 2 = c. What is the smallest common multiple of (132\/j)\/(-25 - -23) and z?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16137*g**2 + 10909*g - 402*g**4 + 892*g**4 + 16135*g**2 wrt g?\nAnswer: 5880*g**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2375049669 take away 2.8?\nAnswer: -2375049671.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1374166 + -1374188.00066. Let g = j + 22. Round g to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -403*h - 16 = -408*h + 2*w, h - w - 2 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -18992, -75974, -170944, -303902, -474848?\n\"Answer: -18994*l**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - r. Let n(w) = w**3 - 11*w**2 - 2*w + 12. Let a(m) = k(m) - n(m). Let i be a(10). Put -3, i, 1 in ascending order.\nAnswer: -3, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139*d**2 - 66*d**2 - 60*d**2 - 3*d**3.\nAnswer: -3*d**3 + 13*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 2:35 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {u: 3, k: 15}.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 10*t. Let p(q) = q**2 - 2*q. Let g(w) = w**2 + 21*w - 70*w + 22*w + 23*w. Let u(v) = -g(v) + 2*p(v). Calculate u(z(b)).\nAnswer: 100*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.25 (b) 2 (c) -2\/7 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/1155074 and -3\/7.\nAnswer: 8085518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -14) + ((-4844)\/(-173) - 1*-14)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -11*q**2 + 15 + 2*q**2 + 5*q + 10 + 10*q**2. What is the tens digit of j(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -470*v - 190*v - 410*v.\nAnswer: -1070*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -k**3*l*y + 3*k**3*l - 3*k**3 - 2*k*y + 41*l*y + 249 wrt l.\nAnswer: -k**3*y + 3*k**3 + 41*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112560 and 1120?\nAnswer: 225120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90354 and 780330.\nAnswer: 8583630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1599346*p**2 - 2*p - 53415?\nAnswer: -3198692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44656 is divided by 308.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 475 + -4315\/9. Calculate the common denominator of (8 - 7) + 1\/(-3 - 12\/6) and q.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -92758 divided by 92758\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 5*w**2 + w. Let y be k(1). List the prime factors of 3\/y*2 - -12.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0.4 (b) -61 (c) -2 (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 23*q - 6171. Let i = q + 338. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 11*w = 14*w - 14, 2*w - 7 = s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/(-364) - (-30)\/28)*(-99)\/(-3)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3284 + 3284 + 62*q + (-3*q + 5*q - q)*(-1 - 2 + 2).\nAnswer: 61*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 59862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 404 = 5*m + 5*d - 906, 4*m = 2*d + 1072. Calculate the greatest common divisor of 154 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5149.\nAnswer: 19, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -58333.5 (b) 1 (c) -46 (d) -4\/7 (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 20*q**2 + 38*q + 40. Let u be t(-18). Suppose k + 2 = -u*a + 3*a, 4*a - 2*k + 26 = 0. Let j(d) = 4*d + 14. Give j(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of 1\/10*z**5 + 0*z - 11 + 3\/2*z**2 - 1\/8*z**4 + 0*z**3 - 1\/40*z**6. Let n(l) be the second derivative of f(l). Factor n(p).\nAnswer: -3*p*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(33)\/sqrt(3) + -5.\nAnswer: -3 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -76*u + 52*u + 72. Let j(f) = -1613*f**u - 1610*f**3 - 2 - 10*f**2 - 2*f + 3221*f**3 + 4*f**2. Give j(-4).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56052 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**4 - 3*k + 3*k)*(588*k + 157*k - 403*k).\nAnswer: -342*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 99\/(-36) + 3\/2. What is the closest to 2 in -5, 0.4, n?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 3*x - 10, 0 = -2*l - 4*x + 8*x - 20 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/2)\/(17\/17).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 7. Let d be l(-8). Suppose 0 = -4*a + 2*z + 58, 23 + d = 5*a + 5*z. What is the remainder when 27 is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -451*x**4\/12 + 291*x**2\/2 - 11*x - 2. What is the derivative of p(d) wrt d?\nAnswer: -902*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = -4*q - 660. Suppose 0 = -4*x - 4*n + 156, 3*x + x - 5*n = q. Calculate the remainder when 12\/(-150) - 3754\/(-50) is divided by x.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -3*q + 234906. Suppose q + 5914 = -4*t. Is (-4)\/10 + t\/(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1836.049459 and -33.4.\nAnswer: 1802.649459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3646, 3590, 3534?\n\"Answer: -56*z + 3702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 33*a**3 + 5*a**2 - 3*a + 10. Let m(g) = -84*g**3 - 12*g**2 + 8*g - 24. Give 12*d(p) + 5*m(p).\nAnswer: -24*p**3 + 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -10, -1\/7, 1\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*t + 51*t - 15 = -s, -15 = s + t for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -207*z**4\/4 + 11*z**3 + z**2\/2 - 22. Find the third derivative of w(k) wrt k.\nAnswer: -1242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -5*p + 29, 2*a - 3 = 5*p + 4. Suppose -2*w = -a*w + 600. Let 12*l**3 - 120 - 30*l**2 + w*l - 10*l**3 - 130 = 0. Calculate l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 99\/21 + (-8)\/(-28). Suppose -l - 1275 = -i*u - 5*l, 5*u + 5*l - 1280 = 0. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27748494 is divided by 1431.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.08 + -0.02. Let p = f + 0.24. Let k = 131\/3 + -44. Which is the second biggest value? (a) p (b) k (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1024*f**4\/5 - 23168*f**3\/5 + 33264*f**2 - 309582*f\/5 - 500094\/5 = 0 for f.\nAnswer: -1, 63\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -41*b**2 - 8*b + 6. Let a be q(-3). Let f = a - -356. What is the greatest common divisor of 34 and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000009414721 to 7 dps.\nAnswer: 0.0000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1415790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 divided by 5316415?\nAnswer: -29\/5316415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1561461 divided by 141951?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c. Let d(u) = -20854357*u. Give d(n(t)).\nAnswer: -62563071*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*v - 21*v + 3*c + 5, v + 13 = -3*c. Solve -v*j + 0 = -8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 602, -5, -4, 1, -31 in descending order.\nAnswer: 602, 1, -4, -5, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -3447287.6 to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 96, 0 in increasing order.\nAnswer: -19, 0, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19122 + 2013.5641.\nAnswer: -17108.4359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -343*s = 3433 + 1184 + 5330 for s.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/6678 and -34\/7791?\nAnswer: 46746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-18)*o)\/o)\/((o*o**(-1\/5))\/o))\/(((o\/(((o**(3\/2)\/o)\/o)\/o*o))\/o)\/o*o**(-12)) assuming o is positive.\nAnswer: o**(-53\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 533*x - 11107 = -3*b - 8412, -4*b - x + 55 = b for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19261*p + 925203 = -5966*p - 421714 - 168713 for p.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -2\/3*p**3 + 2*p**2 - 1\/4*p**4 + 23 + 4*p. Determine h(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 199795, 399597, 599401, 799207, 999015?\n\"Answer: y**2 + 199799*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 14*i**2 - 19*i - 15. Is x(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/13 (b) 4\/13 (c) 0.2 (d) 48 (e) -31 (f) 163\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -10*r**2 + 6*r - 17. Let p(l) = -10*l**2 + 5*l - 17. Let m(h) = 6*p(h) - 5*q(h). What is the derivative of m(s) wrt s?\nAnswer: -20*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (26\/10 - 3)\/(20\/(-75)). Let i(f) be the first derivative of 1 - v*f**2 + 0*f**3 + 0*f**4 - 3\/5*f**5 + 0*f. What is the second derivative of i(z) wrt z?\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00818888 to 4 decimal places.\nAnswer: 0.0082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -138522651 to the nearest 1000000.\nAnswer: -139000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 109 + 2*q + 39*q - 63 - 44 - 24 to the form v + j*q and give j.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 911194 is divided by 708?\nAnswer: 706","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*g + 39*g - 65 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 869265, 869266, 869267, 869268, 869269, 869270?\nAnswer: 869271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3604 at most as big as -3606?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -128, -308, -566, -902?\nAnswer: -1316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 6*v**2 - v + 7. Let u be j(-4). Let t be -2*(-3 - u\/15) - 3. Which is the closest to t? (a) -5 (b) 2\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 51. Let p(l) = 8*l. Give p(j(k)).\nAnswer: 8*k**2 + 408","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d**5 - 9*d**4 + 6*d**3 + 5*d**2. Let q(l) = l**5 - l**2. Suppose 0 = -5*b - 0 + 5. Let h(m) = b*g(m) + 5*q(m). Factor h(u).\nAnswer: 3*u**3*(u - 2)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 12:31 AM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = 4*s - 8, -4*t = -3*s + 51 - 52 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 100 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 535.34 rounded to the nearest ten?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 309.949159 rounded to 1 dp?\nAnswer: 309.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 51*n. Let w(s) = -8*s - 12. Let l(j) = 209*j + 308. Let u(y) = -3*l(y) - 77*w(y). Determine o(u(v)).\nAnswer: -561*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -160\/16343451 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n - 10*n = 0. Let b(i) = -i - 3. Let h be b(-6). Suppose 4*f + n*l = -5*l + 7, -h*f + 9 = 5*l. Is f bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-419 - -422 - (-11 + -2)) + -77?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.0933 (b) -1.3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8643298.\nAnswer: 2, 139, 31091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/(-55))\/(2\/(-10))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/7 + 84\/22?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7405 - 1405 = 16*j. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k. Let i(h) = h**2 - 12*h + 11. Let j be i(12). Let t(d) = 2*d - j*d**2 + 36*d**2 + 17*d**2 - d + 28*d**2. Calculate t(n(a)).\nAnswer: 280*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + g. Let f be p(0). Suppose f*m - 4*m = -444. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 608459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 5*q, 4*q + 3 = -k + 8*q. Let f(l) = l**3 - 4*l**2 + 2*l - 4. Let t be f(4). Solve k*o + 3*z = -10, 4*z + 25 = t*o + o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(-3) - (-3)\/(-9). Let u = 17 - 17.5. What is the nearest to -1 in u, 1\/5, v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1799995.9 times -0.4?\nAnswer: 719998.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*g**2 - 7162568*g - 4775040.\nAnswer: -4*(g + 596880)*(3*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 288 and 1224.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/168*28*3\/1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-71*q + 25*q + 9*q)*(-13*q**3 - 21*q**2 + 21*q**2) + (0*q - 2*q + q)*(-q**3 + q**2 - q**2) as n*q**3 + c*q + o*q**2 + u*q**4 + l and give u.\nAnswer: 482","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 35 = -0. Suppose 0 = v*m - m - 80. Suppose -5*g + 290 = -2*u, m = 5*u - 5. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 738610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1 - 3)\/(57\/114) + (-59)\/(-1) is divided by 2\/(1 + 5\/(-7))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26412 - -1060?\nAnswer: -25322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 346351033139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q - 46*q + 300 = 0. Let l = 2 + 2. Suppose 5*o = -2*r + 17, -l*o + 17 = 4*r + r. Solve -2*u = -o*u - q for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 0*b = 0, -4*y - 2*b = 70 - 82 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -15893127.\nAnswer: 4\/15893127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5438\/141 less than or equal to 40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 8 = 13. Let k = 3 + 8. What is the remainder when r is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5)\/(-2) - 4)*(-11)\/(-33). Which is the third biggest value? (a) -2\/9 (b) 0.4 (c) -0.006 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 45 (b) -0.111 (c) -68 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) + sqrt(130) + sqrt(130) + sqrt(130) + 2*sqrt(130)*2 - sqrt(130))\/((1*sqrt(30))\/sqrt(3)).\nAnswer: 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1901684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -f**5\/10 + f**4 + 4*f**3\/3 - 24*f**2 - 45*f - 6. Let v(m) = 0. Calculate m.\nAnswer: -2, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seventeen halves of a microgram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**5 - 4*d**4 + 59*d**3 + 126*d**2 = 0. What is d?\nAnswer: -9, -2, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 1:32 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3527, 3537, 3561, 3605, 3675, 3777, 3917?\nAnswer: 4101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*f, 4*i + 3*f + 5095 = -2552. Let y be 374555706\/i + ((-4)\/26)\/1. Round y to the nearest ten thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -23, -3 in descending order.\nAnswer: 4, 3, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 16, -33, -114, -227, -372, -549, -758?\n\"Answer: -16*m**2 - m + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6.495+-0.12\nAnswer: 6.375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -270058 - -4?\nAnswer: -270054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 336*v - 338*v for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3219.0507 microseconds?\nAnswer: 0.00000089418075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -12b (base 13) to base 9\nAnswer: -248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1131221404 (base 5) in base 3?\nAnswer: 11220011120002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w - 5*w**2 - w**3 + 0*w**3 + 0 + 4 + w**2. Suppose -5*i = 3*b + 24, 3*i + 8 - 2 = b. Calculate k(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p + 8 = 4*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in five quarters of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1252)\/5 - (-4)\/10. Is (y\/(-2))\/1 - -2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1288)\/3312 + (-2)\/(-6)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7.8 or 10.2?\nAnswer: 10.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.07207046 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 124870.64 and -57.\nAnswer: 124813.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32\/320 + (-117756)\/(-40)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25235 and 7105?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 2 + (-14 - -16).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4148 - 4144. Solve 3*r + 12 = g*l + 39, -3*r + 30 = -5*l for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/12 and (2\/984)\/((-21)\/3318).\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ivcc when four letters picked without replacement from {d: 5, q: 2, c: 5, v: 1, i: 3}.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 4:02 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 3*a**2 - 4*a - 5. Let l be n(-3). Factor -56*d**2 + 24*d**3 + 7*d**4 + 9*d + 35*d - l*d**5 - 3*d**4 - 12 + 3*d**5.\nAnswer: -4*(d - 1)**4*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 54550 from -0.764.\nAnswer: -54550.764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -897*w - 6. Let g(j) = -4*j. Give g(k(n)).\nAnswer: 3588*n + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 1 - (-10 + -2 + 9).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 - 0)*(-20)\/16. Let r(g) = 2*g + 0*g + 2*g**3 - 4*g**2 - 3*g**3 + 7. Is 10 a factor of r(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -k**3\/3 - 4*k**2 + 11. Find the second derivative of c(h) wrt h.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233886 less than 233887?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 962096?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 843\nAnswer: -3372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 6*s**2 - 1. Let n be i(-1). Suppose 0*y + 5*m - 23 = -3*y, -n*y + 63 = -4*m. Let a = -2 + 32. Calculate the remainder when a is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i**(2\/53)*i)))\/(i*(i**(2\/89)\/i)\/i) assuming i is positive.\nAnswer: i**(9506\/4717)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48272 is divided by 16075.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/50 of a millennium?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 12) to base 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 9 = -0*k. Let w = -5 - k. Suppose w*v = -v + 5. Which is bigger: v or 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 2) + -10 + 1\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -23, 2\/3, -3\/5, 2.3?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a millennium in months?\nAnswer: 14000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -37*h + 3. Suppose -5*l - 2*q = 26, 2*l - 4*l + 4*q = -4. Let t be o(l). Let c = t - 96. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13376968 by -8564.\nAnswer: -1562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/6724016 and 7\/13448032.\nAnswer: 13448032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9195 is divided by 533.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1409 + 718 - a + 770.\nAnswer: -a + 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (14\/(-4))\/(2172\/(-732) - -3). Let o = 113 + a. Suppose 0 - 2*v**2 + v - 55\/4*v**3 - o*v**4 = 0. Calculate v.\nAnswer: -2, -2\/5, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o - 6. Let l(x) = 10*x**2 + 3*x. Give l(s(d)).\nAnswer: 40*d**2 - 234*d + 342","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t - 1. Let z be f(-5). Solve 0 = 2*n + 3*x + 3 + 11, 19 = -3*n - z*x for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 2697184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6556 + 6564. Let f(r) = -r**2 + 13*r - 53. Determine f(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -23*c**3 - 452*c**2 - 150*c + 21. Let i(m) = -2*m**3 - 45*m**2 - 15*m + 2. Give -21*i(j) + 2*v(j).\nAnswer: -4*j**3 + 41*j**2 + 15*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5580.7 - 5581. Which is the closest to -1? (a) 16 (b) v (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3006 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y - 4. Let m = 6133 + -6101. Calculate the remainder when m is divided by l(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8, -15, -34, -71, -132, -223, -350?\n\"Answer: -q**3 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -4. Let z(g) = -g**2 - 20*g + 2. Let d(w) = 3*w**2 + 41*w - 5. Let q(i) = 4*d(i) + 10*z(i). Let b be q(18). Put -0.5, f, 2, b in ascending order.\nAnswer: -0.5, b, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 644229, 646563, 650445, 655869, 662829, 671319?\n\"Answer: -v**3 + 780*v**2 + v + 643449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/15 and 59\/95.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 10*p**2 + 4*p - 8. Let u(h) = -2*h**3 - 21*h**2 + 8*h - 17. Let c(r) = -13*j(r) + 6*u(r). Let x be c(-5). Sort -5, 5, x.\nAnswer: -5, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-20 + -1)*(-1)\/3. Let f = i - 4. Suppose -2*q = z - 14, 2*z - f*q = -0*z. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a5ba - -2?\nAnswer: -a5b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 41? (a) 226 (b) -0.4 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**4 - 105*c**3\/2 - 1827*c**2 + 460*c = 0 for c.\nAnswer: -20, 0, 1\/4, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*g + 294*g**3 - 32*g**3 - 3*g + 2 + 74*g.\nAnswer: 262*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2312956?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 73200276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 30*g**2 + 1. Is m(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*k + 2658 = -876 for k.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(200) + -3)**2 + 1 - (sqrt(256)*6)\/((sqrt(32)\/sqrt(4) + sqrt(8))*4)) + -3.\nAnswer: -63*sqrt(2) + 207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1124 + -1026. Calculate the remainder when h is divided by 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*q + 56*q - 14*q - 9*q - 10*q.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g + 13. Let t be y(9). Suppose 26*s - t*s = -100. Calculate the highest common factor of s and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + w - 2. Let j be f(-4). Let k = j + 54. What is the smallest common multiple of 12 and k?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + p = -19, 0 = -5*y + p + 3*p + 31. Solve 2*w + 4*o + 18 = 0, 16 = -4*w + y*o - 6*o for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103, 95, 65, 1, -109, -277, -515, -835?\nAnswer: -1249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 306*p**2. Let o(t) = 2*t**2. Calculate a(o(r)).\nAnswer: 1224*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11564035513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -2\/11, -1328 in increasing order.\nAnswer: -1328, -2, -2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1114450 (base 7) to base 4.\nAnswer: -201303130","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 6*n**2 - 7*n - 2. Let a be l(-5). Suppose -24 = 2*t - 5*t. Is 442\/a - 2\/t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88\/(-24)*2304\/(-1056).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135369496?\nAnswer: 2, 16921187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 46, 4, -1.\nAnswer: -1, 1, 4, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 28 - (-3 + 3 + -1). Let p = z - -4. Suppose -j + 12 = 2*d + 3*j, -j = -4*d + p. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -59447420, -59447422, -59447424, -59447426, -59447428?\n\"Answer: -2*k - 59447418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 17*y**2 - 9*y - 197. What is h(18)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -103 (base 11) to base 2\nAnswer: -1111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(-1\/11)*v*v*v*v**4*v assuming v is positive.\nAnswer: v**(98\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qfqqfqfq. Give prob of sequence fqfq.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 449 + -268. What are the prime factors of r?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31309 is divided by 726?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-590)\/(-2065)*(-5)\/((-5)\/28). Put -3, 0.2, 1, x in descending order.\nAnswer: x, 1, 0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from {z: 6, j: 4, q: 2, x: 1, l: 4}.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 2) to base 14.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (1 + -5 + 2*sqrt(72))**2)*-5*-2.\nAnswer: -960*sqrt(2) + 3060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 5*o = 15, o + o - 4 = 0. Let q = -26 + 30. Let i = t + q. Does 3 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i + 3*w + 70 = 297, -2*w = i - 30 for i.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 4*y = 4, 6*w + 3*y + 72 - 90 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4139 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -3*s**4 + 1050*s**3 - 5193*s**2 + 6210*s = 0.\nAnswer: 0, 2, 3, 345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 - 1213113?\nAnswer: -1213201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 5*u + 833. Suppose 4*a - 5*y + 2*y = 259, -2*a + 5*y + u = 0. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50924 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.134 - 0.1339944. What is n rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - a - 7 = -2*a, 0 = 5*m + 4*a - 2. Let z(o) = o - 137 + 137. Let y be z(-4). Sort 5, m, y, 1\/3 in decreasing order.\nAnswer: 5, 1\/3, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -1069?\nAnswer: -1066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5683 - -39783\/7. Put o, -2\/19, 2, -3, -1\/4 in decreasing order.\nAnswer: 2, o, -2\/19, -1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -22. Calculate the highest common factor of 8 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 + -5 - -27 - 122.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*c + 35*c + 14*c + 19*c.\nAnswer: 55*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 6*r = -54. Suppose g - 7*g = -r. Calculate the remainder when 26 is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 10. Suppose x + i = 4*x. Which is bigger: 4\/7 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, m: 1, p: 4}. Give prob of picking 1 l and 1 m.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5110, -10693, -16276, -21859?\nAnswer: -27442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 - 1330551075.\nAnswer: -1330551101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3*h + 1 = 0. Let v = 3 + h. Let s be -4 + (6 - 4)\/v. Which is the second smallest value? (a) 2 (b) 0.5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n*n**(3\/16)*n))\/n*n**(-6\/29) assuming n is positive.\nAnswer: n**(-1575\/464)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6256 (base 8) in base 12?\nAnswer: -1a66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -41, 0.2, 2\/7, 1\/9, 1\/4, 1\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2473579 smaller than -2473575?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 989243496 to the power of 1\/2, to the nearest integer?\nAnswer: 31452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 128309023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of v**4\/12 - 5*v**3\/6 - 9*v**2\/2 - 6*v. Suppose 0 = 3*x - 19 - 2. List the prime factors of y(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 x when three letters picked without replacement from {x: 7, d: 7}?\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -r**8\/15680 + r**6\/560 - r**5\/140 - 7*r**4\/12 + 6*r. Let u(b) be the third derivative of z(b). What is c in u(c) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 190.0177 to the nearest integer.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c. Let w(n) = -116*n**2 - n + 2765. Calculate q(w(u)).\nAnswer: -116*u**2 - u + 2765","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - -118. Is 32 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 228178476 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3760*n + 7116. Let b(x) = 1253*x - 2376. Let p(u) = -8*b(u) - 3*d(u). Find the first derivative of p(t) wrt t.\nAnswer: 1256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20 * -62.\nAnswer: 1240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (185 + (-488576)\/2640)\/(23\/5 - 1).\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v + 45. Let d be u(12). Suppose 79*x - d*x + 18 = 0. Suppose 4*w - 5*w + 3 = 0, 2*c = w - x. What is the third smallest value in c, -54, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 676 = 3*h + h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-6 + 5 + -1) - 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1901998?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3124 (base 5) to base 7\nAnswer: -1131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.06 (b) -1 (c) -29 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15\/(360\/1312) + (-2)\/3. Suppose -12*u + f = -198. What is the highest common divisor of u and 112?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*q = 295*q + 11452 for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8301.415km in centimeters?\nAnswer: 830141500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -u - 4. Suppose -u*k = k - 429. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -195588 by -58.\nAnswer: 97794\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 14) to base 4.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -323 (base 12) to base 3.\nAnswer: -122000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11505, -23129, -34751, -46371, -57989?\nAnswer: -69605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-3)\/(-8))*(-308617)\/1756*24\/(-76).\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 31 = -16. Let u(i) = -q*i + 18*i + 0*i. Let o(t) = t. Calculate o(u(j)).\nAnswer: 15*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 52*c**2 - 198*c - 956. Determine x(-4).\nAnswer: 668","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2717 - 7824*s**3 - 2552 + 5269.\nAnswer: -7824*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 67\/14 + -9\/2. Let v = 7.04 - 7. Let z = v + 0.26. Do z and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 2\/9, 1, 3707\/2, -54?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 18\/2495?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2\/13*m**3 + 0 - 2\/13*m**5 + 4\/13*m - 6\/13*m**4 + 6\/13*m**2 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6250?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 13*q**2 + q - 6. Let y be v(13). Solve y*k - 2*k = -15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3 = 1. Let y be t + 39\/(-45) + 484\/(-1155). Are -9\/4 and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43 - -50. Calculate the remainder when 29 is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -5*g**3 - 3645*g**2 - 524430*g + 3278880 = 0.\nAnswer: -528, -207, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/((8\/(-15))\/((-108)\/(-270)))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 1 + 1)*(-3 + 3 - q) + 129*q**2 + 17*q**2 - 3*q**2.\nAnswer: 144*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 - -125. Let b = -141 + u. Is 10 a factor of (3\/(-2))\/(3\/b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, 29, -2\/3, -4.\nAnswer: -4, -2\/3, 0.04, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 b when two letters picked without replacement from {s: 5, e: 3, w: 3, b: 1, l: 1, u: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 668991?\nAnswer: 3, 173, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (50\/35)\/((-14)\/(-49))) + 21 + 10?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34b01a (base 13) to base 6.\nAnswer: -42501425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 + 2)*(-2)\/6. Let c be (-5 + 4)*q - (-3 + 2). Suppose 0 = -2*h + 8 + 2. Solve -4*s + c*d + 10 = s, -h*d = s + 26 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 126299887 + 2*x - 126299887. Let k(t) = -2 - t + 0 + 0. Calculate n(k(j)).\nAnswer: -2*j - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 347 or 345?\nAnswer: 345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -15, -188, -485, -912, -1475, -2180?\n\"Answer: -i**3 - 56*i**2 + 2*i + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -10. Let x = 2568\/7 + -5143\/14. What is the third biggest value in x, i, 1\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 4610 = -10*n. Suppose 0 = -5*b - 20, -4*b = 2*t - b - n. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5 = 2*y. Let g be (-8)\/(-28) - 10\/35. Suppose -y*n + 2 = -8, -4*k - 5*n + 22 = g. Solve -k*v + 17 = 4*p, -2*v = 3*v + p for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 13*o**2 - 13*o - 12. Calculate b(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.3 - 1.2. Which is the nearest to -1? (a) 0.4 (b) 1\/5 (c) y (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51a27 (base 15) to base 14.\nAnswer: 6a44b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**35*z*z**(-10)*z*(z**(-1\/64)*z)**(3\/11) assuming z is positive.\nAnswer: z**(19197\/704)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/((-1248)\/(-128))*(-3)\/(-6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 4, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 225056 by -541.\nAnswer: -416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 20 and -99?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.456 to one decimal place.\nAnswer: -28.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.2 - -1.199832. Round p to five dps.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -904, -915, -926, -937, -948?\nAnswer: -959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 3*a**5 + 12315*a**4 + 9581541*a**3 - 6582407547*a**2 + 77696468136*a - 71123654448 = 0.\nAnswer: -2268, 1, 11, 419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4\/13653 + 1324469\/436896. Calculate the common denominator of ((-1947)\/154)\/(144\/(-96)) + (-6)\/2 and g.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -p**6\/330 - 3*p**5\/110 - p**4\/33 + 79*p**2. Factor c(j).\nAnswer: -2*j*(j + 4)*(2*j + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 721211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -87*g + 89*g. Solve 4 = -6*w + g for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (92\/432 - 2\/8)*(-16542)\/(-2757)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1 (b) -1\/13 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -7*s**3 - s**2 - s + 2. Let o(h) = -69*h**3 - 12*h**2 + 227*h + 21. Give o(n) - 10*x(n).\nAnswer: n**3 - 2*n**2 + 237*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9970 and 610164.\nAnswer: 3050820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 280808, 280807, 280806, 280805, 280804, 280803?\n\"Answer: -z + 280809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1532682.8 to the nearest one thousand.\nAnswer: 1533000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a centimeter in micrometers?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-36)\/16)\/3)\/(105\/60).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17525554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jsnljn. Give prob of picking 1 l and 1 j.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (3 + ((sqrt(576) + -3*sqrt(576))\/sqrt(8) - (sqrt(162) + -3 + 0)))**2.\nAnswer: -252*sqrt(2) + 916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 112575336 and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-8*(-44)\/(-1408))\/((-21)\/728*(-2)\/(-6))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4462\/19 - -51739\/228. What is the common denominator of 6\/(-27) - 47\/(-198) and l?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 233975584.3 rounded to the nearest 1000000?\nAnswer: 234000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - 96*c**2 - 266*c + 1201. Determine h(-93).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*a + 5*q + 12 = 39, 77632*a - 77635*a + 5*q + 9 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -337 - -357. Solve -b*c = -15*c - 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**9\/q)\/q**(-5))**22\/(q**(-10\/3)\/q**(-13))**(-4\/7) assuming q is positive.\nAnswer: q**(6122\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 40 = -4*k. Solve 10 = k*j + j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1506\/27 + ((-16)\/18)\/(-4). Is 10\/(-8) + 2 - (-187726)\/t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -347096, -347105, -347114, -347123, -347132?\n\"Answer: -9*h - 347087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**3 - 45*y**2 - 5*y - 1420. Let d(x) = x**3 + 17*x**2 + 2*x + 474. Calculate -8*d(h) - 3*l(h).\nAnswer: -2*h**3 - h**2 - h + 468","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q = -109*q - 51*q + 8840. What is the highest common divisor of q and 3692?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6612 a factor of 2213730660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -59*u**2*y**2 + 4*u*y**2 - 3840*y**2 wrt u.\nAnswer: -118*u*y**2 + 4*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6812 - 6807. Suppose -5*h = v - 151, 0 = h - 5*v - 17 - 8. Calculate the remainder when h is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of 0*s**2 + 0*s**3 + 0 + 139\/20*s**5 + 125\/12*s**4 - 86*s. Find the third derivative of d(c) wrt c.\nAnswer: 834","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 168 and 158312?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -199300*x**2. Let o(h) = 8*h**2. Determine z(o(a)).\nAnswer: -12755200*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 19*y - 3. Let g be r(-3). Let b be (2960\/3)\/((-8)\/g). Round b to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14655*j**2 - 3*j + 46.\nAnswer: 29310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 11:47 AM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -364*a + 366. What is f(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67542518 is divided by 823689?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/12 and (-4)\/26 - (-22701)\/9568.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (482\/2892)\/(11\/(-4)).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 6*c**2. Let j = -1353 + 3178. Let z = 5399\/3 - j. Find the common denominator of z and m(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128572 - 56427 = 1806*n - 11465 - 38084 for n.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.65565 minus -3?\nAnswer: 2.34435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/3 - 0) + (-15)\/(-9). What is the units digit of ((-2)\/q)\/((-40)\/(-41) - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2 - 4 + 4*d**2 - 5*d - 3*d**2 - 2*d**2. Let g be x(-3). Solve -3*w = g*m + 2*w - 6, -5*w = -3*m + 22 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 81287846 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -5*a - 5. Let t(o) = 6*o + 6. Let k(v) = v - 17. Let b be k(21). Calculate b*r(c) + 3*t(c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 122194.\nAnswer: -122194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 + -9064280?\nAnswer: -9063967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 3*q - 15. Suppose 0 = 3*j - q - 15. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 12:06 AM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43523966?\nAnswer: 2, 21761983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.2425 - -3.21. Let x = -10.0325 - w. What is the second smallest value in 0.5, -0.5, x, -1\/10?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1403.929l in millilitres?\nAnswer: 1403929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - (-1 + 9 - 2). Let x = -6 - f. Let b(d) = d - 1. Let a be b(7). Is x greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of v**5\/20 - v**2\/2 + v - 2. Let o(r) be the first derivative of q(r). Differentiate o(k) with respect to k.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(76)\/(sqrt(2)*2 + sqrt(2)))\/(sqrt(2) - (sqrt(288)\/sqrt(9) - sqrt(2))).\nAnswer: -5 - sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 13*g**3 - g**2 + 9*g - 1. Let i(p) = p + 12. Let r be i(-8). Is l(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2951, 6004, 9071, 12152, 15247, 18356?\nAnswer: 21479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of 9*g**4\/2 + 2*g**3\/3 + 89*g**2\/2 - 115. Find the second derivative of x(s) wrt s.\nAnswer: 108*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1548 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5140 + -113?\nAnswer: -5253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*d + 6632 = 145*d. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 + 101?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1128 and 675108?\nAnswer: 1350216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q + 0*q - 1 + 9*q)*(-q + q - q**3 - 2*q**4)*(13 + 18 + 1).\nAnswer: -256*q**5 - 64*q**4 + 32*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of 1\/24*d**4 + 0 + 3*d**2 + 5\/6*d**3 + 0*d. What is b(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 0, 0.32, 0.4?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o**2. Let s(h) = h**2 + 10*h + 80. Let r be s(-26). Let i(l) = -r + l**2 + 3*l**2 + 497. Calculate i(w(f)).\nAnswer: 36*f**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 20. Let o(f) = f + 5. Let q be o(z). Put q, -3, 5 in ascending order.\nAnswer: -3, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 8 = -2*x. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24.0676 + -2.3564. Let q = -0.0112 + j. Round q to zero dps.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5311684297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*g - 48 - 96 = 78*g for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1457 - 1464. Let y(g) = -g - 2. Calculate y(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.16 - -0.16. Let v = d - -2.8. Let a = v - -2.2. Is a at least as big as 1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 7*b + 6. Let f = 6 + -2. Sort f, 0, b in decreasing order.\nAnswer: f, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12*(3 + -4)\/(-3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1014849\/10164 - 100) + (-6)\/(-56)?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-12) + 10\/15.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-4)\/y)\/y*y*y**(-3\/2)\/y)\/(y**5*y*y*y**(-2\/17))*(y\/(y\/(y**(1\/5)\/y*y*y)))\/(y*y\/(y\/(y**(3\/2)\/y)))*(y**(1\/4))**14 assuming y is positive.\nAnswer: y**(-1731\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148 + 122 = -422*b + 395*b for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a - d68e?\nAnswer: -d6a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of o**6\/120 + o**5\/15 + o**4\/24 + 2*o**2. Let a(v) = v**3 + 5*v**2 + v. Determine -4*a(n) + 5*u(n).\nAnswer: n**3 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i\/(i*i**(1\/6)\/i))\/i*i)*i)\/((i**(-6\/7)*i)\/i))\/(i**0\/i**(1\/2))*(i\/i**(-2\/3)*i*i**5\/i)\/(i**(-1\/4)*i**6) assuming i is positive.\nAnswer: i**(289\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 10. Suppose -2*n - 2*n - b = -54, -60 = -4*n + y*b. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.3 (b) 7.08 (c) 0.5 (d) 1\/4 (e) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.21 - -11.65. Let r = n - -0.14. Are r and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 887.1613 centimeters to micrometers.\nAnswer: 8871613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/2)\/(b\/b**(-4)))\/(b**(3\/5))**(4\/17) assuming b is positive.\nAnswer: b**(-619\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 3049486.\nAnswer: 3049486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -69*f**2 - 9*f - 12. Let k(p) = 2*p + 2. Give 5*k(w) + m(w).\nAnswer: -69*w**2 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 142\/7 (b) 0.03 (c) -100\/9 (d) -2\/9 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 + -5. Let v(t) = 2*t - 6. Let l be v(5). Suppose 16 = -l*g, 0 = -5*w + 2*g + 20 + 33. Calculate the remainder when a is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of 5*z**4\/4 - 20*z**3\/3 - 5*z**2\/2 + 20*z - 13. Factor d(a).\nAnswer: 5*(a - 4)*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of k**7\/210 - k**6\/24 - 19*k**5\/15 - 14*k**4\/3 + 32*k**3 + 2*k**2 + 2*k + 1137. Find w such that i(w) = 0.\nAnswer: -4, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1230 - 1237. Let n(v) = 15*v**3 + 7*v - 8. Let r(k) = 14*k**3 + 6*k - 7. Determine a*r(d) + 6*n(d).\nAnswer: -8*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**0\/t*t)\/(t*t**(-1\/14))*(t**4)**(-2\/57) assuming t is positive.\nAnswer: t**(-55\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44080 and 1425?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3737*v - v**3 - 3*v**3 + 2*v**3 + 3737*v.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*b - 2. Let c(q) be the third derivative of q**6\/120 - q**5\/20 + q**4\/8 + 9*q**2. Let i be c(2). Put b, 1\/7, i in increasing order.\nAnswer: b, 1\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 4*c. Give m(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5b9 (base 16) to base 9\nAnswer: -2007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 276, 277, 288, 315, 364, 441, 552, 703?\n\"Answer: h**3 - h**2 - 3*h + 279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15716 is divided by 79.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of 88*o**3\/3 - 69*o**2\/2 + 28. Find the second derivative of h(g) wrt g.\nAnswer: 176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -936 not equal to -0.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2240)*-3)\/(sqrt(80) + (-4*sqrt(80) - sqrt(80))*-4).\nAnswer: 4*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 5*n**2 - 3*n - 12. Let x be t(-5). Suppose 0*p - 3*p + x*f = -411, 2*p = -3*f + 259. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**4 - 44*u**3 - 180*u**2 - 324*u - 216.\nAnswer: -4*(u + 2)*(u + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -433 and 0.4?\nAnswer: -173.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 3. Let m = -5 + l. Calculate the lowest common multiple of 8 and (1 + 8)*(-1 - m).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttt. Give prob of picking 4 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17884 is divided by 2980?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -107.5 - -77. Let x = v + 30.4351. Round x to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5\/2 + 4. What is the third biggest value in -1, h, 2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 4:13 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of 31*z**4\/2 + 2*z**3\/3 - z**2 - 1267. Let f(y) = 10540*y**3 + 341*y**2 - 341*y. Give -2*f(n) + 341*i(n).\nAnswer: 62*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -4*a + 287. Let o = 46 - a. List the prime factors of (-4)\/o - 621\/(-33).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-4\/7)*y)\/y)**43*y*y**(2\/17)\/y*y*y\/y**4 assuming y is positive.\nAnswer: y**(-3148\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 3. Let m(o) be the third derivative of 1\/60*o**5 + 0*o - 1\/2*o**3 + 0 - 1\/24*o**4 - 3*o**2. Determine m(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46.72 + 46.67. What is the closest to 3 in h, -4, 3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2*d + 0 - 2*d + 3*d + 4*d + (3 - 5 + 1)*(d - 2*d + 2*d) - d - 7*d + d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 20.5 (b) 0.07 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 24, 9, 2.\nAnswer: 2, 3, 9, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 0\/(-2) + 2. Let l = -55 + 57. Solve -b*a = -a - l for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*p = -70 - 14 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 852 + 855 + 8*i**2 - 2548 + 851.\nAnswer: 8*i**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**4\/3 - 5*c**3\/3 + 5*c\/3 + 2\/3 = 0.\nAnswer: -2, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of 0*n**3 + 0 + 1\/15*n**5 + 0*n**4 + n**2 + 0*n. Let w(g) = g**2. Give w(j(k)).\nAnswer: 16*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -122261 divided by -60\nAnswer: 122261\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 560154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 8 = w. Suppose 5*a = 72 - w. Suppose 21*z = 1359 + 699. Calculate the greatest common divisor of z and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (28\/6)\/((-3)\/(-9)). Suppose s = 5*j - 61. What is the greatest common divisor of 15 and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2368*j - 2367*j - 4*u + 11 = 0, -5*u + 25 = -5*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 640 + 2\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 83.85 + -88. Let n = 0.15 + o. What is the closest to -2 in -3, 2, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*49\/21 + -588. Let t = -557 - o. What is the greatest common factor of t and 323?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 times -306.7?\nAnswer: -19015.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 18, -2\/13, 23435\/3 in descending order.\nAnswer: 23435\/3, 18, -2\/13, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (33\/(-6))\/((-3)\/(-6)). Let i = u - -15. Let n = 0 + i. Solve -n*o - 12 = 4*j, 3*j = o + 3*o - 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -7.76, 2\/7, -26.97, 0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pj when two letters picked without replacement from pjjjjpppjpjpp.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 7*v + 2. Let l be x(7). Suppose -2*h + 54 = -l*b, -2*h - 6 = -0. Let z be (0 - -16)*b\/4. What is z rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 162 - 294. Let m = 370 + g. What are the prime factors of m?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*j + 535 = 663 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 6192934.41 to the nearest 100000.\nAnswer: 6200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29.8 - -32.64. Round d to 1 dp.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3*k + 0)*(33*k - 234*k + 64*k)*(2 - 2 - 2) to s*k + u + q*k**2 and give q.\nAnswer: -822","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 8*w + 0*w)*(6 + 3 + 30)*(-w + 3*w + 4*w).\nAnswer: -1638*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 1021282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 0*x**2 - 3*x**2. Let n(k) = -15*k**2 - 6*k. Let b(t) = 1273*t**2 + 513*t. Let j(f) = -2*b(f) - 171*n(f). Calculate u(j(p)).\nAnswer: -722*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + 8*x + 6. Let q be s(-3). Let y be 1\/4*4 - q. What is the highest common factor of y and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/6)\/((-10)\/645). Suppose 12 = 5*u - b. What are the prime factors of u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {d: 11, w: 1, f: 5}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -6, 1\/6, 7\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1770983\/9146940 - 33\/27718. Calculate the common denominator of -19\/20 and i.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2 - 11*q**2 - 2*q + 11*q**2 - 40*q**2 - 29*q**2 + 3*q**2. Let j(c) = c**2 - c - 1. Give -2*j(y) + s(y).\nAnswer: -68*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.4, 1\/3, 142.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -358726, -358731, -358736, -358741, -358746?\nAnswer: -358751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/(-18)*(-1 - (118 + 0)) and (81\/(-4))\/3 - 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -980 = -4*x + 2*q, 12*x - 5*q = 13*x - 245. Suppose -x + 252 = 7*t. Solve -a - 5*h - 13 = 0, -a + h - t = -0*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from apaaaaaapppappap. Give prob of sequence pp.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.36 + 976\nAnswer: 975.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135206885.\nAnswer: 5, 11, 1231, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.5 + -1.8. Which is the nearest to -2? (a) z (b) 1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18070?\nAnswer: 2, 5, 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 5 = 2*i, -4*i - 2 = -7*i + 2*x for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 3*m + 6 = 0, 0 = -3*z + 3*m + 4 + 2. Suppose 3*v - 6*v + 24 = z. Calculate the lowest common multiple of 10 and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86 - (312\/30 - 11)\/((-75)\/(-2000)).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 41.4, 2.3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105376 is divided by 52596?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 505568152.\nAnswer: 2, 23, 107, 25679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -130*l**2 + 338\/9*l**3 - 6 + 54*l.\nAnswer: 2*(l - 3)*(13*l - 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 213.05 - 208. Let t = w - 0.05. What is the biggest value in 1\/3, t, 1\/9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 4*d - 38. Let f be a(10). Let p be 2 + 3 + 1\/(f\/(-4)). Solve 0*n + p*n + 15 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - x = 4*w - 25, 2*w = -4*x - 4. Suppose 0 = w*h - 3 - 5. Factor 9\/5*c + 3\/5*c**h + 0.\nAnswer: 3*c*(c + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -195*o + 1858. Give f(10).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72) + (1 + -1 + sqrt(72))**2 + 1 + (sqrt(240)\/(sqrt(30)\/sqrt(3)))\/(sqrt(48)\/(1*sqrt(4))).\nAnswer: 7*sqrt(2) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4082 and 374768848.\nAnswer: 374772930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*(-4 + -2 + 5). Round g to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 770 - 745. Let q = 3.4 - -19.6. Let p = z - q. What is the second biggest value in -7, -2, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1663 - -1677. Calculate the remainder when 26 is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 2*g - 35 = 0, -g = -4*g. Calculate the smallest common multiple of m and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 17896491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -228942 divided by 76314.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**2 - 24*h - 28. Give m(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 63 = 105. Calculate the remainder when 291 is divided by x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + v + 0*v)*(-4*v**2 + 2*v**2 + 0*v**2) - 85*v**3 + 56*v**3 - 125*v**3.\nAnswer: -156*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 176.2958 micrograms to nanograms.\nAnswer: 176295.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, o: 2, z: 5}. Give prob of picking 1 o and 1 z.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 103 + 171\/2*k**3 + 3\/8*k**4 + 29241\/4*k**2 + 555579\/2*k. Solve u(q) = 0.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -332027 + 226?\nAnswer: -331901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -n + 15. Solve n = -b + 2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3812\/31 + 123. Let g be 10\/250*(2 + (-2)\/(-4)). What is the closest to l in 3\/4, -0.1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1069910 divided by 5515\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(75) + 1)*1 - (3 + sqrt(18)\/(sqrt(216)*2)))**2.\nAnswer: -59*sqrt(3) + 5209\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -0.1, -2\/159, 1.1, 3\/7?\nAnswer: -2\/159","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 4*a**2 - 10*a + 29. Give c(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1705150 (base 12) to base 7.\nAnswer: 55155324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 11. Let s = -804 - -802. Let y be (-180)\/(-1539) - s\/19. What is the closest to -0.2 in y, r, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s + 1. Let a be t(-2). Let j(f) = a - 6 + f + 0. Give j(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**2 + 25*t - 26. Let x be g(11). Suppose x*k - 355 = -5*o + 4*k, 0 = 5*o - 2*k - 380. What is the least common multiple of 1 and o?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.6 + 1.2. Let w = j + 0.4. Let s = -2 + w. What is the biggest value in 4, s, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 7*r**2 + 116*r - 29. Let n be j(-20). Let k be 1 - -39 - 1\/(-1). What is the highest common divisor of k and n?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -n - 10. Suppose w = n + 28. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4*g - 63 + 293 = 0, 0 = -2*x + 2*g - 154. Let l be x\/(-13)*(-3)\/(-2). What is the units digit of 2\/(l\/((-2565)\/(-10)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 2*q + 48. Solve 5*u - j = 24, -5*j - q = -0*u - u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -z**4\/12 + 35*z**3\/6 - z**2\/2 + 27*z. Let r be y(10). Let m = r + -126. Is m a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l**2 - 2*l**2 - l**2 - 2*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 + 320*k - 620.\nAnswer: -5*(k - 62)*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -42611922982 - -3\nAnswer: -42611922979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**5 - 9*l**4 - 3*l**3 - l**2 + 2. Let n(i) = i**5 - i**4 + i**3 + 1. Let u(g) = -3*j(g) + 6*n(g). Factor u(c).\nAnswer: 3*c**2*(c + 1)**2*(3*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 6:36 AM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.1 + 8.1. Let p = 5.88 - 5.78. Which is the closest to p? (a) 0.1 (b) 0.4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 135*a - 10132. Give c(75).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 752, -1, 9, 5.\nAnswer: -1, 5, 9, 752","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 38*n + 3. Let h(s) = -11*s + 1. Let y(v) = 3*v. Let r(q) = 3*h(q) + 21*y(q). Let d(t) = 4*r(t) - 3*z(t). Let l(i) = i. Calculate -d(o) + 4*l(o).\nAnswer: -2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -567*s + 993080 - 987410 = 0 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 11 = 3*p - b, 15 = 4*p + 5*b. Let f(d) = d + 20. Suppose -33*j - 44 = -37*j. Let q(o) = 4. Let y(m) = j*q(m) - 2*f(m). What is y(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 8*o - 1. Let y(g) = g - 1. Let h(f) = k(f) - 2*y(f). Calculate the remainder when h(3) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1340.3 + -1341.3. Suppose 4*f = 7*w - 2*w + 9, -12 = -f - 2*w. Let g be 1\/1 - 4\/f. Which is the fourth biggest value? (a) l (b) g (c) 0 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 6*l + 21. Let r be x(6). Let w = r + -54. Factor 1\/3*d**2 + 2*d + w.\nAnswer: (d + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 5*s + 6. Let p be x(-4). Suppose p*h = h + 6. Let d be ((-16)\/12)\/((-2)\/h). What is the third smallest value in -3, d, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -1485, 3, 5 in decreasing order.\nAnswer: 5, 3, 0, -2, -1485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**4 - 5*s**4 + 3*s**4 + (1 + 3 - 2)*(-3*s**4 + 2*s**4 + 0*s**4) + 0*s**4 + 0*s**4 - 2*s**4 + 19*s**3 - 19*s**3 + 4*s - 3*s**4.\nAnswer: -8*s**4 + 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -4*n + 2*q, -541*q - 4 = n - 543*q for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 418*l - 15068. What is m(36)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(4\/2))\/(2\/(72\/6)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**2 - 3*w. Let u be h(2). Suppose -u*t = -t - 6. Calculate the lowest common multiple of t and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2530?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1192*69.4\nAnswer: 82724.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 6*l**2 - 4*l + 13. What is the tens digit of n(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 177 + -60. Is 39 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 12*p - 14. What is the units digit of l(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -59308c1 - 9?\nAnswer: -59308ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - a - 75 = 0, 4*j + 4*a - 82 - 2 = 0. Calculate the least common multiple of j and (3*3*(-12)\/(-45))\/(4\/15).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - -1)\/((-2)\/(-6)). Let k(p) = -p**3 - p**2 - p. Let m be k(-2). Solve 0 = -u*i + m*i - 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l. Let r(u) be the first derivative of -u**6\/72 - u**4\/4 + 2*u**3\/3 - 15*u**2 + 5. Let z(n) be the third derivative of r(n). Calculate z(d(k)).\nAnswer: -20*k**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6559 + -5?\nAnswer: -6564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -152, -1277, -4336, -10295, -20120, -34777?\nAnswer: -55232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 + -40. Let c be x\/(-4) + (-52)\/16. What is the hundreds digit of (-252)\/(-3 + 1) + c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h. Let r be -3 + 2 + 2 + 1. Let w(f) = -f - 4. Let d be w(-6). Let l(o) = -d*o**r - o**2 + o**2. What is m(l(a))?\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 h when four letters picked without replacement from ghgcchlghggl?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -754626 by -3.\nAnswer: 251542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 5, 1369, 15580 in ascending order.\nAnswer: 1, 2, 5, 1369, 15580","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/13*2\/6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 h when two letters picked without replacement from {b: 5, x: 1, h: 2, d: 2, t: 1, g: 5}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 11*s**2 - 8*s. Calculate the lowest common multiple of 16\/(-56) - 312\/(-14) and r(10).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*b = -49*b + 4*c - 48, b = -5*c + 32. Let s(n) = -8*n - 2*n - 4 - 2*n. Let z be s(-5). Calculate the highest common divisor of z and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -3 - (-4 + 9)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -14*w - 1. Let k = -104 - -105. Calculate i(k).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**2 - 9*c - 43. Calculate j(-4).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/153 and 1\/2087005.\nAnswer: 18783045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 + 25.0013. What is c rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -98 - -97. Which is smaller: b or -0.66?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 168 and 264.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14176683, 28353321, 42529957, 56706591, 70883223?\nAnswer: 85059853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5662959821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 5*b - 15, -2*b - 9 = -3*g + 2*b. Suppose -g*w + 2 = 4*c - 2, c - 16 = 3*w. Suppose d - 22 = 5*q, 30 = d + c*q - 7*q. Is d a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: -325362101 divided by -325362101\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 55.0599674 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -3307?\nAnswer: 5\/3307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 29*y = 4082. Suppose -175*a = -y*a - 16776. Is a a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36464919 divided by -375927\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -0.06, -0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 19628, 19641, 19672, 19727, 19812?\n\"Answer: a**3 + 3*a**2 - 3*a + 19627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -21369.211 times -24\nAnswer: 512861.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {i: 4, l: 5, d: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 254 divide 636508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*j + 23415 = 22731 for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 9:33 AM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -995 - -2594. Suppose 1854 = 3*t - g. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j - 4. Let v(h) = 4*h + 7. Let c be (-640)\/(-100) + 4\/(-10). Suppose 22 = -c*w + 4. Calculate w*v(q) - 5*r(q).\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 320254 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4851697183.\nAnswer: 14591, 332513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1325171241 * -0.5\nAnswer: 662585620.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 195 = 3*b, -b + 56 = -5*k + 377. Suppose -3*w = -5*p - 43, 6*p - 53 = -3*w + p. Calculate the highest common divisor of w and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of 0 + 3\/2*w**2 + 1\/6*w**3 - w. Let s(r) be the first derivative of b(r). Let h(l) = l**2 - l + 5. Calculate h(a) - 4*s(a).\nAnswer: a**2 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 2:19 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 61*k**3 + k**2 + 8*k**3 + 34*k**3. List the prime factors of y(1).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/8, -2, 1139393\/6, 2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 6*g + 157. Determine p(-20).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/15, -16, -2\/13, -6, -3?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3116, 12432, 27960, 49700?\n\"Answer: 3106*n**2 - 2*n + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -6. Let q = 2 - b. What is the remainder when 134\/12 + 3\/(-18) is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4*b - 14528 = 0, 4*b + 29092 = 5*a - a. Suppose 0 = -5*g - z + 7252, 0*g = 5*g - 5*z - a. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5+2.8\nAnswer: -2.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + r = 4, r = 5*u - 0*u + 4. Which is bigger: u or -3\/271?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from opyllllyvolvvvvlylln. What is prob of sequence lv?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 274, 210, 146, 82?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + y**2. Let s(x) = 5*x**3 - 16*x**2 + 5*x + 3. Let z(c) = -6*b(c) - s(c). Suppose 3*l + p - 2 = -32, -4*p - 50 = 5*l. Is z(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13.48 + -13.48. Let v = -4 + 8. Sort 0.2, v, d.\nAnswer: d, 0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/3 + 14282*r**2\/3 + 171227*r\/3 - 185510\/3.\nAnswer: (r - 1)*(r + 13)*(r + 14270)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 8. Let j(u) = 4*u**3 - 3*u**2 - 3*u + 5. Let t(a) = 3*a**3 - 3*a**2 - 3*a + 4. Let x(y) = z*j(y) + 5*t(y). Let q be x(-2). Which is smaller: q or 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207598?\nAnswer: 2, 23, 4513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2\/9, -21\/118, 0, -3.\nAnswer: -3, -21\/118, 0, 2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1718791 to the nearest integer?\nAnswer: 1311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8622237.8 + -18.27.\nAnswer: 8622219.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = 17*v - 95 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*n + 2*q, 2*q = 3*n - 0*q + 22. Let c = n + 12. Suppose -c*l - 3*t + 9 = 0, 7*t = 2*l + 2*t - 1. Solve -4*i + l*i + 5 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 144, -0.2, 0.1, 0.05, -0.38?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**2 - 20*k + 2. Let d be n(-10). Suppose d*v - 3*q - 31 = -4*q, 5*q - 77 = -4*v. What are the prime factors of v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -846 - 10?\nAnswer: -856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.2192 to 1 decimal place.\nAnswer: -19.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.59289 minutes to hours.\nAnswer: 0.1098815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46791 = 6256*r + 653623 for r.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*v - 326 + 172. What is the remainder when 90 is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-77885)\/(-6) - 39\/(-234). Let a = n + -1544701\/119. Calculate the common denominator of -64\/63 and a.\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 312\/5 - 3\/5*g**4 + 1551\/5*g**2 - 1402\/5*g - 458\/5*g**3 = 0?\nAnswer: -156, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 125, -2, 22 in decreasing order.\nAnswer: 125, 22, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4529, 4539, 4549?\n\"Answer: 10*z + 4519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 328503 and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 6055529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 1:53 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 5*r**2 - r - 3. Give j(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 divided by 330187.\nAnswer: -45\/330187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/54 and 137\/205488.\nAnswer: 616464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + -1*-8*1. Let p = q + -8. Let r = -1\/87 - -185\/957. Which is bigger: r or p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/4 - 4899*s**2\/4 - 144594*s - 4217615.\nAnswer: (s - 5015)*(s + 58)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 4*y**2 - 6*y - 3. Let b be r(-5). Suppose 5 = -2*l + 5*z - 11, 4*z = -5*l - 7. Sort 4\/7, l, b in increasing order.\nAnswer: l, 4\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/21*1456\/(-390). Let w be (-1 - -5)\/2 - (2 - 0). Find p such that -16\/9*p**3 + z*p**2 + 0 + 4\/3*p**5 + w*p - 20\/9*p**4 = 0.\nAnswer: -1, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + m - 30, -4*m = 5*z + 6 - 1. Let p = 223.1 - 221.1. Which is the nearest to -2\/3? (a) p (b) -2\/21 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.031, -34\/5, -3 in descending order.\nAnswer: -0.031, -3, -34\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23947*f - 13151*f - 19545*f to the form l + x*f and give x.\nAnswer: -8749","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - r + 48. Suppose 0 = -310*c - 70317 + 72797. What is the least common multiple of c and w(0)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c. Let y(b) = b**2 - 142. What is y(j(f))?\nAnswer: f**2 - 142","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1756, 3003, 5080, 7987?\nAnswer: 11724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44 - -71. Let u = h + -6. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2 + r - 2 - 1 + 3*r**2. Calculate the remainder when -2 + 3 - (-2 + -1) is divided by u(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.452778 to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3 - 4377692*n**2 + 26266098*n - 39399120.\nAnswer: 2*(n - 2188840)*(n - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1900 - 60 = 20*s. What is the tens digit of (24\/21)\/((-4)\/s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/23 (b) -4 (c) -0.11 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -w + 11. Find the common denominator of (217\/21)\/((-4)\/w) and -1 + 9\/(-14) - 0.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 233034?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1242 + 2770?\nAnswer: 39b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -208 (b) -2.61 (c) 3\/7 (d) -3 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(55) + (sqrt(1375) - sqrt(55))*4 + sqrt(55))\/(-4*sqrt(20))*-5.\nAnswer: 45*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*b - 260 = 0, -207 + 50 = 3*v - 2*b. Suppose 3*n - 263 = 2*y, -2*n - 2*y + 180 = -y. Let g = n + v. Does 15 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -448158933 - -448158931.10000067. Let h = 139.9 + -138. Let k = c + h. What is k rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -291*b + 290*b = -121. Suppose c = 161 - b. Let d be (-8)\/10*25\/(-2). Calculate the greatest common divisor of d and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g - 18. Let a be s(12). Let x = a + 12. Solve -3*f + f - x = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45\/8 + 3\/8*f**2 - 6*f.\nAnswer: 3*(f - 15)*(f - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -9610 (b) 1\/10 (c) -1 (d) 5 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 3*w + 559, -4*w + 1143 = 4*y - 3*w. Suppose 193 = -8*b - y. Round b to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m - m + m - m as v + r*m and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*j + 3*q, 2*j - 2*q + 14 = 6. Let s be -25*((4\/4)\/j)\/(-1). Solve 4*d - s = -d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33048.3 - -33051. What is the nearest to 3\/4 in -1\/4, -3, 4, i?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -1) + 26 + -16.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31946 is divided by 450?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.029 + -62.\nAnswer: -61.971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -79997, -159190, -238385, -317582, -396781, -475982, -555185?\n\"Answer: -c**2 - 79190*c - 806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001958826935 rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1812227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37 + 26. Let s = j - -23. Suppose -2*x - u = -3, -2*x = 2*x - 4*u + s. Solve x = 5*r - 3*r - 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 2:33 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = c - 2*c + 2, 20 = 3*c + 5*w. Let z(x) = -x**3 + 6*x**2 - 5*x + 6. Let l be z(c). Is l at most 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 2*q - 2. Let l be 58\/112*(q + -4). Let h = l + 3\/4. Which is the nearest to -1? (a) -0.2 (b) h (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.9680418 rounded to 3 decimal places?\nAnswer: 10.968","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1783 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - -28. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -253*z = -345*z + 1288 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 128, 262, 502, 902, 1516?\n\"Answer: 9*x**3 - x**2 + 74*x + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + k = 25, 1181*r - 1179*r + k = 10 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-138214)\/20)\/(5556\/10). Let v = -10\/463 - g. What is the common denominator of v and -4*1\/6*30*(-22)\/32?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 2*y - 40, 3*g + 4*y + 0*y + 24 = 0. Let d = 30 + g. Does 6 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 4*r + 61. Let h be p(7). Suppose -3078 = h*g - 98*g. What is the greatest common divisor of g and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + -1. Let q = 4 + i. Let m = q + 1. What is the third biggest value in -3, 1, m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6611904667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, n: 3, h: 2, u: 1, m: 3, l: 1}. What is prob of picking 2 n?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 11, -0.17 in increasing order.\nAnswer: -1\/3, -0.17, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2855, -6033, -9211, -12389, -15567?\nAnswer: -18745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1380 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - ((-12)\/(-9) - 2). Suppose 6*n = -5*b + 3*n + 18, -n + 2 = b. Let 4*u + b + j*u**2 = 0. What is u?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*t = -76, 12 = -t + 4*t. What is the remainder when w is divided by (-219)\/(-15) - (-2)\/5?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 6.8. Let i = -0.2 - h. Is -0.1 less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*l**2 - 14*l**2 - 15*l**2.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -163*d*t**2 - 73*d + t wrt t.\nAnswer: -326*d*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1580 = 3*s - 373*s + 270 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of u**3 + 80047924*u**2 + 9231679*u - 17.\nAnswer: 6*u + 160095848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - -6) + 2 + -12 + 20.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than -91339672809741?\nAnswer: -91339672809742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of 11*o**7\/42 + 3*o**3\/2 - 6*o. What is the second derivative of w(s) wrt s?\nAnswer: 220*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15704316 rounded to three dps?\nAnswer: -0.157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*h + 3*h**3 + 0*h**3 - 28 + 5*h.\nAnswer: 3*h**3 + 19*h - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence huup when four letters picked without replacement from hxuhuipphhppiiiphhi?\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 + 73536*m - 5389444.\nAnswer: 4*(m - 73)*(m + 18457)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = a - f - 3, 0 = -3*a - 3*f + 45. Let q(w) = 19*w + 1. Let m(k) = 57*k + 2. Let d(r) = 6*m(r) - 17*q(r). Is d(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*p - 3*p**2 - 13*p - 8*p + 2*p**2 - 18*p - 30.\nAnswer: -(p + 1)*(p + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -727.7728 and -166256.\nAnswer: -166983.7728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 41\/2 of a litre?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-6)\/18*88\/8.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ykvmyykyymyyvvvvkmyy. What is prob of picking 1 k and 1 v?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1388680 rounded to the nearest 10000?\nAnswer: -1390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - h - 1 = -11, -h + 4 = -a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26182 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: How many minutes are there between 4:42 AM and 5:38 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 9*n. Let a(z) = -9*z**2 - 3*z**2 - 57*z**2 - 69*z**2 + 30*z**2. Give r(a(h)).\nAnswer: -972*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 256905 and 2728?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 493*y - 236 = 497*y. Let x = 93 + y. Calculate the remainder when 169 is divided by x.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27951)\/2662)\/(7\/44).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 195\/9 - 4\/(-12). Suppose w = -w + f. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.5 - 25.5. Let j = 30.4 + k. What is the biggest value in j, -3, -2\/13, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, -134, 2\/9, 0.158?\nAnswer: 0.158","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-9))\/(-3*(-16)\/(-216))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4954900 divided by 1238725\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 + -68. Let r be (a\/150)\/(4*3\/(-30)). Suppose -r*s**2 + 0 - 3\/5*s**3 + 0*s = 0. What is s?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-144)*95448\/(-83517).\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + 332778?\nAnswer: 332777.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (33 - 35)*(1 - 36\/39). What is the nearest to -1\/12 in 0.03, 0.2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 3:58 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -60*m**2 - 13. Let q(h) = -67*h**2 - 18. Let r(c) = 3*q(c) - 4*x(c). Let l(k) = -7918*k**2 + 407. Determine -2*l(i) - 407*r(i).\nAnswer: -37*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/15))**(-22)*m**1*m**(4\/7) assuming m is positive.\nAnswer: m**(-143\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-6) + (-11)\/((-1452)\/55).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 82 - 248 + 87 + 79 + 2471*y**2 in the form z*y**2 + o*y + x and give z.\nAnswer: 2471","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(8\/(-12)) - -11. What is the greatest common divisor of 40 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54 + (-99 - -20) + -1 + 3 + 1\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (8368\/(-16))\/(2\/(-30))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2640370147?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -47 - (-17 + 19 + -143)?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 83, 87, 91?\n\"Answer: 4*x + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 n when two letters picked without replacement from unfuubfuffheu?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20021 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 57.7 and 4486.01.\nAnswer: 258842.777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9189491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 6. Let h(o) = o. Let i(w) = -2*w - 3. Let n(a) = k*i(a) + 4*h(a). Differentiate n(x) wrt x.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*n + u - 6 = 81*n, -2*n = u for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22815 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21b9c (base 14) to base 4.\nAnswer: -103333032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 77091490 to the nearest 100000.\nAnswer: 77100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00030810906 to five decimal places.\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1441 (base 6) to base 15.\nAnswer: -1aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 26*t - 32 = -32*t, -3*t = 2*w - 22. Let d(h) be the first derivative of 1\/3*h**3 + 0*h**2 - w - 18*h. Find the first derivative of d(z) wrt z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 14423143?\nAnswer: 14423134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*s - 103. Suppose -1 - s = -2*t. Calculate the remainder when t is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/6*(-3)\/(-2). Let t be -2*(-3)\/6*3. Let v be (-24)\/60*7 + 3\/(-15). Sort t, -2, v, g in decreasing order.\nAnswer: t, g, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -21, -12, 15, 72, 171?\n\"Answer: 2*w**3 - 3*w**2 + 4*w - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 90 - 11?\nAnswer: 7e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -78, -32 in descending order.\nAnswer: 4, -5, -32, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-162)\/(-12)*28\/6 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/9)\/(l**0\/l)*l**(-3\/7)\/(l\/((l*l**(4\/7))\/l)*l)*((l\/((l*l*l\/l**(-2\/7)*l)\/l)*l)\/(l\/l**(-3\/2)))\/((l**(2\/11)*l)\/l)**(-15) assuming l is positive.\nAnswer: l**(-2501\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/60120 and -25\/88?\nAnswer: 661320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (517\/3 - 1)\/(560\/126840) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 98 = -151. Let m = 277 - f. Calculate the remainder when 130 is divided by m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 2160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 take away 35807.40522?\nAnswer: -35780.40522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 12*d**2 + 2*d + 2. Calculate i(12).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3834733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cbfbcvffvcbv. What is prob of picking 1 c and 1 f?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) + (1*sqrt(66) - sqrt(66)))\/sqrt(11))\/sqrt(2)*-5.\nAnswer: -5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 540213386 to the nearest integer?\nAnswer: 23242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 - 3 + (1 + 1 - 1)*(-3 + 2 - 1) - 4 + 15 + 12)*(-11 + 11 + 5*n).\nAnswer: 80*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -25228.82 and 0.3.\nAnswer: -7568.646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -13*y**7\/840 + y**5\/10 + y**3\/3 - 4. Let d(q) be the third derivative of l(q). What is the second derivative of d(a) wrt a?\nAnswer: -78*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 8.874298 years?\nAnswer: 0.08874298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 r, 1 g, and 1 j when four letters picked without replacement from utuuuuujjrguitjgu.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 104, 0, 7, -0.08, 0.5, 3\/14 in increasing order.\nAnswer: -0.08, 0, 3\/14, 0.5, 7, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -9*p - 13. Let l be w(-2). Suppose -5*g + l*k = 20, g = 2*g + 3*k - 16. Solve -d = -g + 5 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*2*717\/478.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 13870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18657106133 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**2. Let h(i) = 3*i + 1034. Give h(f(z)).\nAnswer: -6*z**2 + 1034","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -2*h + 2*z, -h + 3*z + 141 = 3*h. What is the greatest common factor of h and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 15.5107\nAnswer: 6.20428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of 17 - 2*m + 1\/2*m**2 + 1\/3*m**3 - 1\/12*m**4. Calculate i(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 177, 360, 579, 852, 1197, 1632, 2175?\nAnswer: 2844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xj when two letters picked without replacement from {i: 1, x: 11, j: 2}.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -22495*s - 4965. Is 24 a factor of i(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 864*c - 3800 - 23191 = -3663 for c.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 56*i + 3*i**3 - 11*i - 7 to m*i**2 + h*i**3 + a + u*i and give u.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + 15 = -11*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 + 42 + 9 + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2547630 * 6\nAnswer: 15285780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 174 times 14?\nAnswer: 2436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -10*q - 2. Let t(j) = 11*j + 2. Suppose -n + 23 = -6*o + 2*o, 27 = -3*o + 4*n. Give o*t(g) - 6*d(g).\nAnswer: 5*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(170)\/(-5*sqrt(30)\/sqrt(3) - sqrt(10))*-4 + (sqrt(1377) + (1*sqrt(1377)*-2 - sqrt(1377)) + -1 + sqrt(1377) + 4)**2).\nAnswer: -160*sqrt(17)\/3 + 1386","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 9 - 63*p + 10 - 26.\nAnswer: -63*p + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3980, 8012, 12046, 16082?\n\"Answer: k**2 + 4029*k - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185 + 185 - 6*s**2.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of 1847*i**3\/3 + 1593*i - 1482. Find the first derivative of s(k) wrt k.\nAnswer: 3694*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*c**2)*(-2 + 5 - 2) + 23*c + 7 - 4 + c**2 - 24*c.\nAnswer: -c**2 - c + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 158 + -148. Which is greater: 55\/6 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 - 16068720*h - 16137735152400.\nAnswer: -4*(h + 2008590)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 214492.1nm?\nAnswer: 0.2144921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -bb + -32b9?\nAnswer: -33b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3406 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.198457 milliseconds in hours?\nAnswer: 0.0000106106825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 5684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 927 greater than or equal to 929?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*u + 234 = 23*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**4 - 35*c**3 - 45*c**2 + 41*c + 46. Let q(r) = -5*r**4 - 210*r**3 - 270*r**2 + 245*r + 275. Let n(u) = -6*q(u) + 35*s(u). Factor n(y).\nAnswer: -5*(y - 8)*(y - 1)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(1\/2)*k)\/k)**(-1\/69)\/(((k\/k**(-2\/3))\/k*k)\/k**(-2\/5)) assuming k is positive.\nAnswer: k**(-1441\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42604.\nAnswer: 2, 10651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 297354 = -2*n - 297320, 0 = 4*d + 48*n - 716 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that o**2\/6 - 153323*o\/3 - 18716569\/2 = 0.\nAnswer: -183, 306829","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7565*d + 3813*d + 3851*d + 1)*(-2 + 4 + 0).\nAnswer: 198*d + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120725789?\nAnswer: 17, 2213, 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1490*c**3*y**3 + 115507*c**3*y**2 + 316*c*y**3 + 33*c*y + y**2 wrt y?\nAnswer: 8940*c**3 + 1896*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 6*a**3 + 4*a**2 + 2*a. Let q be g(-2). Let d(l) = l**2 - 51. Let u be d(0). Let h = q - u. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -2 + -7 + 9 + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-18)*45\/(-35))\/(7\/(-98)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.2 (b) -0.1 (c) -1 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007051103 to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 689.430738 to 1 decimal place.\nAnswer: 689.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1384189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 79b50 - a0?\nAnswer: 79a70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 3:00 AM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -544?\nAnswer: -547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2394922079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4\/87 + 122\/1131. Let d be -3 - ((-160)\/26 - -3). Factor d*a**3 - f*a + 0 + 0*a**2.\nAnswer: 2*a*(a - 1)*(a + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 402 = 10*h. Let a(x) = -x**2 - 5*x + 3. Let t be a(4). Let o = 50 + t. Calculate the remainder when h is divided by o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-18))\/((-1)\/3). Let m = 19\/30 - 2\/15. Which is bigger: u or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-18))\/(75060\/648)?\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 35*h**2 + 15*h. Let k be (-318 - -317)*(4\/2)\/2. Let t(m) = m. Give k*v(a) + 15*t(a).\nAnswer: -35*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-357))\/((-1)\/2). Let i = 6 - 5. Which is smaller: t or i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 300?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01602? (a) 0.2 (b) 301 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 434 (base 8) to base 15.\nAnswer: 13e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3630 >= 3635?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 692*a + 447*a - 71*a + 10369 + 3515 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 101.9 - 105. Let u = 1.1 + r. Let m be 1\/(-9) - 100\/180. What is the fourth biggest value in 0.3, u, 1, m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(6*sqrt(76)*1 + (sqrt(76) - 1*sqrt(76)*-1)))\/(sqrt(216)\/(-1*sqrt(96))))**2 + -2.\nAnswer: 77806\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 3*j + 3. Let l(y) be the second derivative of 0 + 1\/6*y**4 - 3*y - 5\/6*y**3 + 5\/2*y**2. Determine -3*l(r) + 5*q(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8725 - -10088. What is the greatest common divisor of b and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b + 1 - 1 + 15 = 5*z, -b - 4*z = 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13 + -2510?\nAnswer: -2497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 720 and 25.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*p = 96*p - 1079 + 3639 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1959 - 1163. Suppose -2*t = -5*u - w, 2*t - 8*u = -6*u + 802. Is 13 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + (-650)\/135)*(31 - 4445\/140).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -223175628 divided by 3877?\nAnswer: -57564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -103102087084175301\/128282 + 803714372115. Let l = -4\/5831 + i. Find the common denominator of 97\/4 and l.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - 3*u - 3. Let q be i(-5). Let y = q - -22. What is the smallest common multiple of 11 and y?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r**5 + 70*r**4 - 150*r**3 - 2000*r**2 + 11875*r - 18750 = 0 for r.\nAnswer: -6, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/12 (b) 5 (c) 15\/13096 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 8*x + 5. Let s be x\/(2\/(-30)) + -2. Calculate the greatest common divisor of 52 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-396)\/14 - 4\/(-14). Let f = 40 + q. What is the units digit of (-90)\/f*2*-4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -8.18. Let d = -0.1798 + l. Round d to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 4*d + 4*w - 41, 0 = -4*d + 3*w - 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2925467555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2330*h + 64464 = 902*h - 59498 - 24710 for h.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 185376 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of 7\/2*w**2 + 7*w + 2 - 1\/3*w**3. What is the remainder when 38 is divided by u(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**3\/5 + 144*l**2 + 47196*l\/5 + 467856\/5 = 0. What is l?\nAnswer: -114, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/6)\/(3\/(-2)). Let j = 204.2 - 204. What is the nearest to j in 0, 4\/3, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 65 in 0.1, -2\/13, -1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -23. What is the third biggest value in -3, -3\/2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -3*l**3\/2 + 201*l**2\/2 - 1638*l = 0?\nAnswer: 0, 28, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 5, -2, -81859, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19641?\nAnswer: 3, 6547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 22 = 2*y, 2*y - 2*l = -0*y + 12. Suppose -8 = 5*w + i - 18, 4*w + 3*i = 19. Sort w, -2, -4, y in decreasing order.\nAnswer: y, w, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + 0. Let g be ((-36)\/(-27))\/(f\/(-6)). Let j be 114 - 4 - 4 - g. Calculate the highest common factor of 72 and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 3. Let k be r(3). Let v = k + -13. Let s be (12\/14)\/((-1)\/v). What is the highest common factor of s and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -102*k**3*r**3*t**2*x - 7*k**3*r**2*t + 4*k*r**3*t**2 - 3*k*r**2*t**2 - t**2*x wrt x?\nAnswer: -102*k**3*r**3*t**2 - t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299) - (sqrt(2299) + -2)) + 0)**2 + sqrt(2299) - (-1 + sqrt(2299) + 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6036431?\nAnswer: 409, 14759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/40 of a milligram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b (base 12) to base 4\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 896019.1ml in litres?\nAnswer: 896.0191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8472987 to the power of 1\/2, to the nearest integer?\nAnswer: 2911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 2086581671 and 475.\nAnswer: 2086582146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-3)*(-9)\/(-1). Suppose -3 = -m + h, 94*m - 10 = 90*m + 5*h. Solve -2*y - 4 = j, p*j + m*y = -j - 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6018*g*q**4 - 4*g*q + 2124*g + 2*q**2 + q wrt q?\nAnswer: -72216*g*q**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49330986 to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*f + 222 + 557 = -61 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14617 and 3110.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -5*h**2. Let d(t) = -19*t. Determine d(j(v)).\nAnswer: 95*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13.4 - 10.4. Let g = -0.18 + 0.38. Which is the closest to -1? (a) 0 (b) m (c) 5 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 49139, 93170, 137201?\n\"Answer: 44031*d + 5108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 25 - 567\/(-105)*-5. Let x(a) = -19*a**3 + 7*a**2 + 7*a + 26. Let m(s) = 6*s**3 - 2*s**2 - 2*s - 9. Determine z*x(o) - 7*m(o).\nAnswer: -4*o**3 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g - 1. Let h(c) = 6*c + 5. Let l be -1*5 + 9 + -6. Give l*h(o) - 10*q(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, c: 7, e: 3}. What is prob of sequence cec?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1784 + -1768. Suppose 2*f - 12 = j, -3*f + 2*j + 19 = -1. Calculate the greatest common factor of x and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from iifqfqxqiifqfffq?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -43*c**2 + 137*c**2 - 56*c**2 - 39*c**2. Let l(u) = -u**2 + 269. Calculate l(s(a)).\nAnswer: -a**4 + 269","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**3 + 2*w**2 - 30*w - 161. Calculate r(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/10)\/((-9)\/6). Let m be 6\/(-40) + (-6)\/24. Let x = -5 + 7. Which is the second smallest value? (a) x (b) m (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1083805248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5802 + 126678*n - 63339*n - 63341*n to w + d*n and give w.\nAnswer: 5802","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -52 + 107. Let b = c + -23. Suppose 5*h - b = 38. Is h a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -l**6\/360 + 3*l**5\/40 - 11*l**4\/24 - l**3\/6 + 3*l. Let f(b) be the second derivative of r(b). Let w be f(8). Sort w, 5, -4.\nAnswer: -4, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 22*o**2 + 23*o - 2. Let d be j(-23). What are the prime factors of 7\/d*(-96)\/(-168) - -138?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*g - 3. Let x = g - -10. Is 5 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v = -2*v - 140. 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 least common multiple of 33 and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2002, -2008, -2018, -2032, -2050?\n\"Answer: -2*j**2 - 2000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -2 - 4. Suppose -d*r + 5 = -9. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 6*i = -25, 0 = 4*w + 5*i - 5215. List the prime factors of w.\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence liz when three letters picked without replacement from {s: 2, b: 1, l: 1, i: 1, z: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*y**3 + 24*y + 0 - 4*y**2.\nAnswer: -y*(y - 4)*(y + 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -14*d**3 + 21*d**2 - 32*d + 161. Is y(-18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**1)**(-5\/4)*s**3*s*(s*s*s*s**(-5))\/s assuming s is positive.\nAnswer: s**(-11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 172 and 14018.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -316*x + 3. Let w(v) = 2*v**3 + 4*v**2 + 6*v. Let y be w(-2). Let o = -14 - y. Is r(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1237\/7 - 177. Let k = 3.9 - -14.1. Let v = -14 + k. Which is the second smallest value? (a) i (b) 2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.12 + -5.88. Let s = 6.07 + t. Let j = -4787 + 4785. Which is the closest to -1\/2? (a) j (b) s (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*y = -37*y + 72 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 9*o**4\/5 - 22746*o**3\/5 - 19895808*o**2\/5 - 760344192*o - 505128960 = 0?\nAnswer: -360, -2\/3, 3248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -867*i + 870*i = 960. Is 4 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.6745202 to zero dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 28*x - 18. Let g be h(25). Calculate the lowest common multiple of 8 and (g\/(-228))\/(-1 - (-86)\/88).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 13. Solve g = 4*g + a for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225*q + 231*q = -117*q + 13752 for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 9, h: 2}. Give prob of picking 3 a and 1 h.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -5*t + 20. Suppose 3*p - 24 = -3*d, -t*d + 3*p - 27 = -8*d. Factor -6*u - 4*u**5 + 20*u**4 - 50*u**3 - 2*u + 14*u**d + 28*u**2.\nAnswer: -4*u*(u - 2)*(u - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u + 1. Let d(j) = -117*j + 6. What is 5*b(z) - d(z)?\nAnswer: 112*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4*q. Let x be (-2)\/((-6)\/9) + q. Suppose -3*y + 5 + 4 = 3*c, -x*y = -5*c - 25. Which is smaller: c or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16.79 + -0.21. Let s = p + 17.03. Suppose 2*x + 5*w + 21 = 0, 0 = -4*x - 0*w - w - 15. Sort -2\/21, s, x in descending order.\nAnswer: s, -2\/21, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u**3 - 5*u - 1. Let y(l) = -23*l**3 + 29*l + 6. Determine 34*n(r) + 6*y(r).\nAnswer: -2*r**3 + 4*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*b**3\/3 - 1756*b**2 + 3714*b - 1584 = 0 for b.\nAnswer: -33, 3\/5, 24\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, x: 2}. Give prob of sequence bbxb.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - g - 2)*(2*g - 4*g + 3*g) + 18*g**2 - 8*g**2 + 22*g**2 - 1 + 4*g**2 + 1 + (-1 + 1 - g)*(0*g + 4*g - g) - 3*g**2 + 2*g**2 - g**2.\nAnswer: 30*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z + 28. Let p be b(20). Suppose -3*r = -r - p. Solve -4*k - 3*f - 4 = -25, -k - r*f + 15 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -55 - -56.7. Let p = -35 + 37.1. Let j = p - v. Sort -1\/6, -0.1, j in increasing order.\nAnswer: -1\/6, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(24)\/sqrt(2) - (sqrt(432)*2 - sqrt(432)))\/(sqrt(60)\/(sqrt(90)\/(sqrt(9)*2))).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 8) to base 11\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42 - -45. Let l = -4 - -8. Sort 1, l, w in increasing order.\nAnswer: 1, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - 22) + (-4 + (9 - 17) + 7 - 81)?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 4)*(3*b - 2*b - 2*b) - b - 3 - 5*b + 5*b.\nAnswer: -4*b - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -3*n + 121 - 45, -n = -m - 32. Let b = n + 47. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 82830 and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 3*g + 5. Let x be r(3). Suppose -x*n = -n - 48. Let k = -8 + n. What is the remainder when 4 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 22372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of 5*f**4\/12 + 11*f**3\/3 + f**2 - 99*f. Calculate the remainder when r(-6) is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25 + 880\/(-32))*106\/(-5).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(15 + 9) - -37*(-3)\/(-18).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -410918 from -486.\nAnswer: 410432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by -23.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.30758 millimeters in centimeters?\nAnswer: 3.830758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.24944 nanometers in kilometers?\nAnswer: 0.00000000004324944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -30*d**2 + 2*d + 154.\nAnswer: -60*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*q**3 - q**3 - 6*q**3)*(1 - 2 - 10) to the form m*q**3 + k*q + r + h*q**2 and give m.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -173ce + -265?\nAnswer: -17633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 12*b = -22. What is the remainder when 30 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 713 + 3*d + 0*d - 2*d + d**5 - 4*d**3 - 3*d**5 - 682 wrt d.\nAnswer: -40*d**3 - 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-18) + (-539)\/(-441). Is q greater than or equal to -9\/1045?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 0*i + 2 - 5 + i - 932*i**3 + 2*i**4 + 931*i**3 + 3*i**2 as w*i**4 + z + n*i + v*i**2 + k*i**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 7:44 AM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 6*l + 7. Let s be m(-5). What is the second smallest value in 61, -1\/8, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3520*g. Let k(m) be the third derivative of -17*m**4\/8 + 2999*m**2 + 2. Determine -275*k(h) - 4*x(h).\nAnswer: -55*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 10*y + 6. What is z(8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/(-14))\/(3\/14). Solve p - 12 = b*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*l, -a - 5 = -6*a + 5*l. Let i be (-10 - -5)*a\/(-10). Let j be (4\/(-1))\/(i\/15). What is the highest common factor of 12 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20203 = 3*q + 6*m - 5*m, 0 = -5*q - 5*m + 33655. What are the prime factors of q?\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-54)\/14)\/((-22785)\/686 - -33)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -1, -3, 2765 in ascending order.\nAnswer: -3, -1, 3, 4, 2765","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 58910358 and 1521?\nAnswer: 176731074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dun when three letters picked without replacement from ntuntdutdttt.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 145*q**2*t**3 - 185*q**2 + 87*q*t**3 + 3*t**3 - 1135*t wrt t.\nAnswer: 870*q**2*t + 522*q*t + 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of -s**5\/60 + s**4\/24 + s**3\/6 + s**2. Let k be 27\/(3\/(-6) - 1). Let n = -19 - k. Give h(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(65)*1*1)\/(sqrt(5)*-1*-6 + sqrt(5)) - (-1 + -1*sqrt(13)*-6 + 1)) + -3)**2.\nAnswer: 246*sqrt(13)\/7 + 22294\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/p**(-16))*p*p\/(p*p*(p\/p**(-1\/8)*p)\/p))**(1\/5) assuming p is positive.\nAnswer: p**(-137\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -716, 4.\nAnswer: -716, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 23565615, 94262459, 212090535, 377049843, 589140383?\n\"Answer: 23565616*f**2 - 4*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2480 and 1063455.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 30*z + 297 = -828, j = 2*j - 5*z - 195 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = z - 2*a, -5*z + a = -3*z - 55. Let b = 477 + -147. What is the highest common divisor of b and z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 944*n + 2218. Let x(c) = -3*c + 5. Let g(d) = -m(d) + 3*x(d). What is the first derivative of g(b) wrt b?\nAnswer: -953","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 969 and 14383.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 6*a - 3. Suppose 4 + 5 = -2*v + 5*h, v + 12 = 5*h. What is the remainder when (15\/15 - -53) + 15\/6 + 2\/4 is divided by r(v)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*h - 41*h - 10*h.\nAnswer: -40*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.6*-0.09.\nAnswer: 0.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1644\/3562*13*-2\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**4\/7 - 93*h**3\/7 - 96*h**2\/7 = 0. What is h?\nAnswer: -1, 0, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.552 - -0.148. Let l = -0.7 + r. Which is the second smallest value? (a) l (b) -1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 511312087 to the nearest integer?\nAnswer: 22612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -2.9. Suppose 46*n - 229 - 3 = 48 - 4. What is the second biggest value in -0.5, -0.4, n, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -6 (c) -1 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17a0 (base 11) in base 9?\nAnswer: 3122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 211002859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 15*i + 115 + 21 + 192*i**2 - 213*i**2. Let c be u(-20). Solve 12*j = 3*j + c for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.72893 to the nearest integer.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + -0.4.\nAnswer: -16.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33057 divided by -9.\nAnswer: 3673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 32040 (base 5) to base 4\nAnswer: 201201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*q**2*y + 508*q**2 - 29*q*y**3 + 2*y**2 wrt y?\nAnswer: -2*q**2 - 87*q*y**2 + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 75 and 27?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 4. Let n be 0\/(d - -3) - (-2 + 2). Solve -5*w - z - 11 = 0, n*w + 23 = -w + 5*z for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fuff when four letters picked without replacement from {f: 12, u: 6}.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*k**4 + 0 - 11*k**4 - 7*k + 0 wrt k.\nAnswer: -96*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 a, 1 i, and 1 j when four letters picked without replacement from djamciij.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30899 - 219.591.\nAnswer: 30679.409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - 2 - -52 - (-15 + 16) - 4?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f + 4. Let o be a(0). Suppose 0*v - o*v + 8 = 0. Solve v*r - s + 9 = 0, -5*s - 6 = 5*r - 2*s for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - 12*o + 5. Give i(-13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*i = 181*i - 3150. Calculate the remainder when 728 is divided by i.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -413d94a?\nAnswer: 413d948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 12:05 PM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4, 2, 12, 26, 44?\n\"Answer: 2*t**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.549019263 + 2.\nAnswer: 2.549019263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 45*l - 46*l, 5*i - 32 = 17707*l - 17711*l for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a tonne in kilograms?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -12*v**3 - 54*v + 36*v**2 + 2*v**4 - 2\/15*v**5 + 13. Suppose j(n) = 0. What is n?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -70322090 to the nearest one hundred thousand.\nAnswer: -70300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3793.934 + -5.6?\nAnswer: 3788.334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 - 622*f + 3. Let b(a) = 2*a + 1. Determine 4*b(d) - v(d).\nAnswer: d**2 + 630*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1328 and 249.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000573645 rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.3, 120, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 104 divided by 3\nAnswer: 104\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 125\/15)*(-13 - -1). Put -2, k, 2 in descending order.\nAnswer: k, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 404, 1, 0.5, -432\/119?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23557 + -23451. What is the highest common divisor of t and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3833190 a multiple of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -4038*j**4\/5 - 7809*j**3\/5 + 534*j**2\/5 = 0.\nAnswer: -2, 0, 89\/1346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 150*g**3 + g**2 + 7. Let z(y) = 2*y**3 + 1. What is a(f) - 6*z(f)?\nAnswer: 138*f**3 + f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - n + 8 = 0, 2*s + 2*n = 7*s + 15 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 8, -6, 0 in decreasing order.\nAnswer: 8, 0, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 12:31 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 74 + -155\/2. Let c be ((-2)\/(-5))\/(4\/120). Suppose c = y - 5*y. Which is greater: y or u?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 44*y**2 + 82*y - 83. Let t be w(-42). Let g(x) be the second derivative of 0*x**3 + 0 - x + 0*x**2 + 17\/12*x**4. Determine g(t).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7257721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j + 12. Let h be d(6). Suppose -3*x = n - 70, h*x + 1 = -x. List the prime factors of n.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -5, -10733, -4 in decreasing order.\nAnswer: 5, 3, -4, -5, -10733","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/((k*k**0)\/k)*k*k)\/k**(-5\/2)*(k\/k**(2\/7))**(2\/15)*(k**5*(k*k*k*k**(-4)*k*k)\/k)\/(k\/(k**(-1\/3)\/k))**(-21) assuming k is positive.\nAnswer: k**(2545\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (201 - 201 + 62*s)*(12*s + 24*s + 8*s).\nAnswer: 2728*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 232 in -134\/1481, 2\/21, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*5*sqrt(28) + sqrt(42)\/(sqrt(12)\/sqrt(2)) + 3 + 6*(sqrt(63) - sqrt(63)*-2)**2 + (0 + sqrt(63))*4.\nAnswer: 73*sqrt(7) + 3405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 17) + 12 - -8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 7*p**2 + 10*p + 164. Give k(-8).\nAnswer: 532","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(3 + -1*sqrt(325)))**2.\nAnswer: -1080*sqrt(13) + 12024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 885 by -295.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 64, -4, 2, -556, -6 in decreasing order.\nAnswer: 64, 2, -4, -6, -556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*q**2 + 4*q**2 + 6*q**2 + 5*q**2.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/8 (b) 26\/931 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.057304628 - -137.942705832. Let r = 139 - v. Round r to 6 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1285, -2760, -4425, -6280, -8325, -10560?\n\"Answer: -95*z**2 - 1190*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and 7.9?\nAnswer: 5.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**2 + 28*z + 12. Let b(j) = -j**2 + 44*j - 13. Let c be b(44). Let t be q(c). What is the smallest value in 4, -7, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = g + 2*z, -5*z = -705*g + 710*g - 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 107 - 112. Let t be m\/2 - (-25)\/50. Let h be -3 + t\/(4\/(-118)). Calculate the highest common factor of 28 and h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 i when two letters picked without replacement from vvgivigitg.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.014720819722 rounded to five dps?\nAnswer: -0.01472","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of 5*a**4\/6 + 5*a**2\/2 - 9*a. What is the derivative of j(h) wrt h?\nAnswer: 20*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/20405 and -51\/385?\nAnswer: 20405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -26192*y. Let w(n) = 2202*n**2 - 2. Determine w(a(p)).\nAnswer: 1510617942528*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -12 (b) 2 (c) 4\/43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -52*a + 11. Let x be g(-9). Suppose 3*w - 4*z = z - 373, 4*w - 3*z = -x. Let s = -359 - w. Round s to the nearest 10.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.750636 + -2.75. Round o to five decimal places.\nAnswer: 0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 324 a factor of 777276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*w**2 - 3*w**2 + 0*w**2 to the form z*w**2 + d*w + h and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 42*h - 37*h + 25, 0 = -3*h + 5*k - 15 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -5*a - a + 3 + 2*a**2 - a**2. Let b be j(7). Solve 0 = 3*q - q - b for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3869 is divided by 56?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1688\/5073 + 1\/1691. Which is the nearest to t? (a) 0 (b) 18 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 507 in descending order.\nAnswer: 507, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w - 6. Let y be f(-5). Let k be (y - -1)\/(0 - 2). Suppose 38*l - 41*l + 9 = 0. Which is the nearest to k? (a) l (b) 1 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/16 and (-34)\/(-10) + -3 + (-1282)\/180.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 - -34. Suppose -2*z + 0*z - 30 = 0. Let s be (-14)\/z - (-6)\/c. What is the third biggest value in s, -1, -3\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(68) - sqrt(68)*5))\/(1*(sqrt(36)\/sqrt(9) + sqrt(4))).\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -q**8\/672 - q**7\/2520 + q**6\/720 - 49*q**4\/12 + 2*q - 106. Let v(t) be the third derivative of u(t). Calculate v(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 72ab?\nAnswer: -72b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of f**3\/3 + f + 2. Let d be b(-3). Suppose -d = -2*v - 0*v. Solve -a = 4*a - v for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 2*d**2 - 3*d - 3. Let z(y) = -3 - 4 + 3 - y - 3. Let b be z(-5). Is j(b) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 7:26 PM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of s**8\/10080 - s**7\/1680 + s**6\/720 - s**5\/720 - s**3\/2 + 3*s**2. Let h(o) be the first derivative of j(o). Factor h(f).\nAnswer: f*(f - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1\/5756789?\nAnswer: 1\/5756789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -9319.882 rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 80\/2679 and -11\/54612308.\nAnswer: 163836924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6558.3874 rounded to the nearest integer?\nAnswer: 6558","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 1308638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -p**3\/6 - 3*p**2\/2 - p. Let q be g(-5). Suppose q*o - 72 = -0*o. What is the common denominator of -37\/10 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54987475 and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nuzuuunuzuuuuzunuuu. Give prob of picking 3 u and 1 z.\nAnswer: 143\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -118 divided by 1?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*u - f + 178 = 0, -4*f = -54289 + 54397 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275 is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20514?\nAnswer: 2, 3, 13, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 480 + -479.8. Sort -5, -2\/61, -4, s in decreasing order.\nAnswer: s, -2\/61, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 207120 and 480?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -1220278*f**3 - 6065*f**2 + 6065*f - 12130. Let c(m) = -1207*m**3 - 6*m**2 + 6*m - 12. Give 6065*c(h) - 6*p(h).\nAnswer: 1213*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3 = t, 5*t + 30 - 45 = -b. Let r(i) = 363*i - 2*i**2 + 18*i**2 - 362*i - t + 4 + i**2. Let u(h) = h**2 + 4*h + 3. Let d be u(-2). Give r(d).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -308 less than -0.76124?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9120 - 9093. Solve -q = -3*s - 45 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4*(-1)\/((-20)\/15). Let y(i) = -i**2 - 2. Let b(t) = -3. Suppose -8 = 4*h + 2*s, 3*h + 1 = -3*s - 5. What is d*y(r) + h*b(r)?\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 2*b + 5*b + 16 = 0, -b = 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v. Let k(c) be the third derivative of 0 + 0*c**4 + 0*c**3 + 0*c + 2\/15*c**5 + 6*c**2. Give p(k(j)).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**4 + 2*s**3 - 4765 - 4*s + 4767 - 5*s in the form p*s + w + f*s**3 + t*s**4 + q*s**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 66 in 21, 4, 2\/3, -415, 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z - 1. Let c be w(5). Suppose 8*l - c*l = 26. Let q = 21 - l. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2063*l + 61 = -771*l + 1353 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/30*-4*10\/(-7).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 11) to base 6\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1931, 726 in increasing order.\nAnswer: -1931, 4, 726","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 31 - 28 = 0. Solve -y = -v + 2, t - 13 = -4*y for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 1 = -j, -207*j + 204*j + 1 = -4*n for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**3 + 6*o**2 + 5*o - 1. Does 30 divide g(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 583*t - 9294. Let g be u(16). Solve -4*x + c - 61 + g = 0, x + c + 8 = 0 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-241 - 3)\/((1\/(-2))\/1) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence duu when three letters picked without replacement from {u: 2, d: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 535570540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**2 + 1. Suppose 0 = -0*y - 5*y - 15. Let r be p(y). Let m = r - -30. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -54*y**5\/5 + 285*y**4\/2 + 7588*y**3\/9 + 1556*y**2\/3 + 112*y - 1684. Solve a(n) = 0.\nAnswer: -3, -2\/9, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 - 4. Let k = -54 + g. Which is smaller: -36 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 5*s - 29 = u, -4*u = -2*s + 8. Let 0*i**3 + 2*i**2 + 4*i**3 - s*i**3 - i + 3*i**3 - 2 = 0. Calculate i.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6498?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3)\/6 + 110\/16 and 73\/36?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**0*s\/s**(-1\/12)*(s\/s**(-1\/4))**(-48) assuming s is positive.\nAnswer: s**(-707\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/3 - 143\/(-3). Suppose 2*d - 3*d + 2*a + 7 = 0, 0 = 3*d - 4*a - 17. Suppose -5 = d*r - 41. Calculate the greatest common divisor of r and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, p: 4, j: 5, s: 2, h: 3, l: 5}. Give prob of sequence pk.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.9781921 + -0.0218379. Let t = z + 4. What is t rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9960881386 to the nearest integer?\nAnswer: 2152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5258 is divided by 2607?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 5*f**2 + 5*f. Let g(q) = 2*q**3 - 5*q**2 - 13*q + 10. Let t be g(5). Suppose 66*k + 8 = t*k. Calculate v(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 240 and 30?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4851 + 4852. Let y = -53 - 26. Which is smaller: u or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23357 and 558?\nAnswer: 13033206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64 + -134.33. What is o rounded to the nearest integer?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -208193033*w**4 + 592921995*w.\nAnswer: -2498316396*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (820\/(-287))\/(120\/12096*-6).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 n when two letters picked without replacement from {t: 1, i: 1, n: 1, p: 1, h: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56554 is divided by 309.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -89806971 or -89806970?\nAnswer: -89806970","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -55.7 - -57.7. Let l = -25 - -23.3. Let n = l + u. Which is the biggest value? (a) n (b) 2\/5 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 17. Let v be (65 - 2) + u\/(-1). Suppose 5*o + 3*q - 74 - 15 = 0, 4*o - v = q. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8756724 a multiple of 174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8500 and 11215.\nAnswer: 19065500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p*p\/p**(-7)*p*p*p**(-2\/11)*(p\/p**(2\/9))\/p**(-1) assuming p is positive.\nAnswer: p**(1346\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 10*u**2 + 7*u - 3. What is g(9)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -450*s**4\/7 - 6870*s**3\/7 + 13492*s**2\/7 + 3960*s\/7 + 272\/7 = 0.\nAnswer: -17, -2\/15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 - 47)*11\/(-22).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 8:10 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27*f**4 + 367318*f**3 + 51067401*f**2 wrt f.\nAnswer: 648*f + 2203908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of p**3\/3 - p**2\/2 - 8*p - 434. Determine z(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 0.017597\nAnswer: 0.0035194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -1186768?\nAnswer: 1186768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a4d - dd5?\nAnswer: a58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -151 in descending order.\nAnswer: 5, 0, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*o - 15. Let v = -204 - -1838\/9. What is the biggest value in o, -5, v?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 213 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-33596)\/14 + (-12)\/42. What is j rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -48, -57, -48, -9, 72, 207?\nAnswer: 408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3 - 1. Let m be (-1)\/((-2)\/r) + -1. Let s = -3 - m. Which is smaller: -3\/5 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 23*s. Let l(j) = 38*j. Give l(f(p)).\nAnswer: 874*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1203102972 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 12*w - 23. Let n = -41196 - -41184. Determine j(n).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)*-6*4)\/(sqrt(4200)\/sqrt(7)).\nAnswer: -12*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*o - 595026 = -6589614 - 6810948. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-33)\/792)\/((-31)\/8))\/((-1)\/6)\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 150 and 200?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 22545 to the power of 1\/2, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_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 v = -23 + 25. Let a be (24 - 23)*(v + 24\/(-1)). Round a to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 26163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(0 - (-25)\/(-2)). Let f be (6\/27)\/((-36)\/(-81))*550. Calculate the greatest common factor of i and f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53357890 divided by -38470.\nAnswer: -1387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 3*r - 43 = 0, -2*a = a - 3*r - 48. Let v = 21 - 23. Let b = a + v. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16157019?\nAnswer: 3, 223, 24151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/122)\/(108\/(-513)) + 1\/2?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 23*p**2 - 26*p - 299. Let k be d(21). Solve -44*c + 7 = -k for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(15) - sqrt(75)\/sqrt(5))*5)\/((sqrt(35)*-1)\/sqrt(7)) + 2)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 - 26. Suppose -3*i + 5*o = -0*i - 184, m = -5*i + 3*o + 312. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8117 - -14066. Round p to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 16 = 7*o. Is 3\/o*(-12670)\/15 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1220591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 + 0.1. Let w = -0.35 + 0.15. Let n = 0.2 + -0.1. Which is the nearest to n? (a) i (b) 0.5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 549\/7 + -13043\/168. Find the common denominator of p and -91\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 6*d + 4*d)*(2 - 2*d - 2)*(0 + 3*d + 0).\nAnswer: 18*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 8 = 4*d, -108*f - d = -104*f - 7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 4)*((-3*p**2 - p**2 + p**2)*(-2 + 0 - 1)*(2 - 2 + 6) + 2*p - p**2 - 2*p).\nAnswer: 53*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 + -29. Let t be -1*3*w + (-5 - -4135). Let n = -2904 + t. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133)*2*2)\/sqrt(7)*-1)**2 + (sqrt(19) + (sqrt(19) - sqrt(57)\/sqrt(48)) + 1)*-3.\nAnswer: -21*sqrt(19)\/4 + 301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5717065, 11434076, 17151075, 22868056, 28585013, 34301940, 40018831, 45735680?\n\"Answer: -x**3 + 5717018*x + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(0 + z + 0 + (4*z - 2*z - 4*z)*(4 - 2 + 1)).\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 4*t**2 + 14*t - 21. What is z(-6)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -153, -307, -461, -615?\nAnswer: -769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 6 + 10 + u - 11 - 6. Let s(q) = 4*q**3 + 7*q**2 - 2. Let t(m) = m**3 + m**2. Let w(x) = -s(x) + 6*t(x). Calculate -2*h(o) - w(o).\nAnswer: -2*o**3 + o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 3 + (-3 - (7 - 9)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 127.\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(1\/2)*u*u**(-1\/3)*u)\/(((u*(u\/(u*u*u**(2\/13)))\/u*u*u)\/u)\/u*u\/(u\/(u\/u**(2\/13)))))**(-5\/16))**(-40) assuming u is positive.\nAnswer: u**(4825\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5793.0476 - -1.4476. Round g to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by ((-155)\/(-15))\/((-1)\/(-3)).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0304 + -47.4304. What is u rounded to 0 dps?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 8, 0.4, 2, -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -1, -190, -428 in decreasing order.\nAnswer: -1, -2, -4, -190, -428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 21404, 21314, 21172, 20984, 20756, 20494, 20204, 19892?\n\"Answer: t**3 - 32*t**2 - t + 21436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 46*s**5 + 4*s**4 - 16 - 4*s**4 - 16*s**2 + 17 wrt s?\nAnswer: 2760*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 17116050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -54.000205 + 54. Round d to 5 dps.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -5, 0 = 2*f - 2*m - 14 - 4. Solve -12 = c - 4*z, f = c + 5*z - 7 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 4*t - 1 = 3, -492*j = -499*j + 5*t + 41 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2576 and 56.\nAnswer: 2576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -298 divided by 298\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**4\/12 + 2*x**3\/3 + x**2 + x. Suppose -2*r = -i + 12, -5*r - 26 - 4 = 4*i. What are the prime factors of q(r)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 316330 to the power of 1\/2, to the nearest integer?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4, 5, 14, 31, 56, 89, 130?\n\"Answer: 4*z**2 - 11*z + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -40351, -80362, -120373, -160384, -200395, -240406?\n\"Answer: -40011*k - 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hnhhnnn. Give prob of sequence hhh.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/44541 and 34\/1515.\nAnswer: 222705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009373 to four decimal places.\nAnswer: 0.0094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -23*t**2. Let j(p) = -1784*p. Determine j(x(o)).\nAnswer: 41032*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o + 2224745 - 2224745.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 7:29 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 3*l = -5383*p + 5378*p + 18, -p + 6 = l for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -5*q - 7. Let j(f) = -2*f - 3. Let z(w) = 3*i(w) - 7*j(w). Let k(d) = 3*d + 0 + 3 + 1 - 6*d. Calculate k(z(r)).\nAnswer: 3*r + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 + 30. Suppose 3*r - 11 = 4*v + g, -2*r + 2 = v. Solve -20 = -2*b - r*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 1455 = -5*n. Suppose 0 = -6*d + n + 597. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -280.2 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/(-3) - ((-7504)\/6)\/4?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 10*h + 4. Let t = -48 + 56. Let s be p(t). What is the smallest common multiple of 10 and 3*(-2 + (-32)\/s)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**5\/11 - 570*i**4 + 4575086*i**3\/11 + 540632670*i**2\/11 - 545201488*i\/11 = 0.\nAnswer: -104, 0, 1, 1619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3329, 3333, 3339, 3347, 3357, 3369, 3383?\n\"Answer: z**2 + z + 3327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 164556 to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -212*b + 318*b - 636 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 4*c - 52700, -2*w = -3*c + 55623 - 2929. What is w rounded to the nearest one thousand?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a millennium in decades?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d. Let i(q) be the second derivative of q**3\/6 - 41*q. Let z(s) = i(s) + p(s). Let t(c) = 182*c. Give t(z(j)).\nAnswer: 364*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/4)\/(43449\/10345*20\/7).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -18*(0 + -2)\/2. Let g = r + -7. Let q(p) = 2*p**2 - 23*p + 100. Let y be q(8). What is the highest common factor of g and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -26. Calculate the greatest common factor of p and 176.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9724511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 4*b + 7, -4*s + 3*b + 7 = 1. Suppose 624 = 5*n + s*m, -m = 5*n + 3*m - 627. Is n a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 475*v**2. Let t(w) = 31*w. Calculate p(t(y)).\nAnswer: 456475*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two ninths of a week?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23258.\nAnswer: 2, 29, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 7*k**2 - 3*k + 2. Let d(b) = 2*b**2 + b. Let g(w) = -a(w) - 4*d(w). What is g(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*3*sqrt(112) - (-3 + sqrt(7)*2)**2*-2)*4.\nAnswer: 96*sqrt(7) + 296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296999 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 981, 5, 16, 0, 4, 3.\nAnswer: -5, 0, 3, 4, 5, 16, 981","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + t = 2*t - 6, -t + 4 = -2*c. Let l(g) = -8*g - 1. What is the least common multiple of 10 and l(c)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3527666 and 0.9.\nAnswer: 3527666.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*r + 20*r + 144 = 0. Let v(c) = c**3 - 11*c**2 + 13*c - 11. Is v(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1588 a factor of 60823616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(26\/8 + -4). Let k(p) be the second derivative of -1\/15*p**6 - p - 1\/21*p**7 + 4*p**2 + 1\/6*p**w - 8\/3*p**3 + 1\/2*p**5 + 0. Factor k(r).\nAnswer: -2*(r - 1)**3*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59 + 67 + 1 + (-8 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express x**2 + 3 - 14 - 5 + 8*x**3 - 7*x**3 as d*x + w + j*x**3 + s*x**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 + 56. Suppose 5*x = 5*g, -2*x + 4*x + 4 = 4*g. Suppose 0 = g*k - p + 33. Calculate the highest common factor of k and 140.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 146 + 156. Let a(j) = -2*j**2 + 4 - y*j**2 - 286*j**3 + 287*j**3. Give a(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lxhlxlxxlxxlxxxlkk. What is prob of sequence lx?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5887 and 5592853.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8 - (3 + -2 - -2). Suppose -h*k = -0*k. Find the third derivative of -w**2 + 0*w + k*w + 5*w**6 wrt w.\nAnswer: 600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113838?\nAnswer: 2, 3, 18973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 336.412*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**4\/2 + 3*c**3 + 12*c**2 = 0. Calculate c.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 2*n, 5*p = 4*n - 40. Let b = p + 9. Is 18\/b + (-4)\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + 3 - (9 + 3).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 396 - 393. Let t(r) be the first derivative of -3*r + 1\/2*r**p - 3\/4*r**2 - 17. Solve t(q) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus -10013?\nAnswer: 10013.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 128 = -3*l. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5676*v + 5753*v - 5423 = 11242*v for v.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, 5\/3, -3, 1, -27 in increasing order.\nAnswer: -27, -3, 1, 5\/3, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 743986 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1f3c (base 16) to base 11\nAnswer: 600a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -74 - -73. Let i = -0.9 + -4.1. Let k = i + 11. Put x, 2, k in ascending order.\nAnswer: x, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 3 + 0*r**2 - 2*r**2 + r. Let u(w) = 1. Let c(x) = k(x) + 2*u(x). Suppose -5*z + z = -12, -z + 2 = -q. Determine c(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 11 + 45 = 4*r, 0 = -3*r + d + 36. Do r and 74\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -32? (a) -6\/175 (b) -4\/3 (c) 30\/17 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 3:36 PM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t + 13. Let i(l) = 33*l + 216. Calculate 42*f(h) - 2*i(h).\nAnswer: -24*h + 114","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.04 and -51.\nAnswer: -50.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, b: 3, f: 1}. Give prob of picking 2 b.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 1 = -11. Let a be 6\/w*(-316)\/(-6). Let v = a - -111. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 3. Let t be (l\/4)\/(4\/2). Suppose -2*a - a - 3*w = 9, -2*a + 3*w + 19 = t. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 34*t**2. Let a be (-1270)\/4*(4 + (-72)\/30). Let s be 12\/60 + a\/(-10) + -1. Let o(g) = g**2 + s*g - 50*g. Give x(o(u)).\nAnswer: 34*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**2 + 2*u**2 - 2*u**2)*(0 + 0 - 2*u) - 4 - 3*u**3 + 4 - 5*u**3 - 4*u**3 - u**3.\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 68817264?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4505187 and 4.0069?\nAnswer: 4505182.9931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*o = -108*o - 15. What is the common denominator of 4 + ((-3447)\/135 - 1\/o) and -11\/28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 - 25. Suppose 4*s - x + 1 = 0. Suppose -1 = -s*o + 15. Solve j + 0*j = -o for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**2 - y**2 - y**2 + (-2*y + 3*y + y)*(y - 5*y + 2*y) + 2*y**2 - 5*y**2 + 0*y**2.\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 558, 1118, 1676, 2232, 2786?\n\"Answer: -o**2 + 563*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = p + 5*f, -f + 20 = -5*p + 3*f. Suppose p = 2*t - 4 - 6. Find the second derivative of 2*x**t - x + x**5 - x**5 wrt x.\nAnswer: 40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p. Let z(s) = 2*s - 15*s - 12*s. Give r(z(t)).\nAnswer: -50*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3629685*h**3 + 147860*h wrt h.\nAnswer: 21778110*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 30*j**2*q**2 + 19*j**2*q + j + 419*q**2 - 32*q - 2 wrt j?\nAnswer: 60*j*q**2 + 38*j*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2859 - 2840 - (-70 - (-2 - 0)).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1c7b + 1?\nAnswer: -1c7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*x + 4904 - 4822 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 9:35 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 + -17.91. Let g = -0.31 - i. Which is the third smallest value? (a) 0 (b) g (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 63567\/10 - 6346. Suppose r = 14 + 60. What is the common denominator of o and 39\/52*r\/(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47535 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -9*q**2\/2 - 5*q - 5. Let c(p) = -13*p - 7. Let h(o) = 5*c(o) - 7*w(o). What is h(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 94\/197 - 12885\/5122. Let j be 8\/(-20) + (-10693)\/1944. Let a = -1\/1944 - j. Calculate the common denominator of q and a.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9276 and 346341104.\nAnswer: 1039023312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15125494589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*b + 26*b**2 - 26*b**2 + 15855*b**3 - 21*b.\nAnswer: 15855*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 4*b = 16. Put 1, 5, b in descending order.\nAnswer: 5, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 201*a*l**4 - 4*a*l**2 + 83821*a - 2*l wrt l.\nAnswer: 804*a*l**3 - 8*a*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4565 - -4564.883. What is the closest to 0 in l, -1\/3, -0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, k: 3, e: 6, v: 1}. What is prob of sequence bek?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2234 - -0.3465. What is l rounded to three decimal places?\nAnswer: 0.123","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26488113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wm when two letters picked without replacement from {m: 4, w: 11, p: 3}.\nAnswer: 22\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -358, -3346, -11772, -28456, -56218, -97878?\n\"Answer: -470*w**3 + 101*w**2 - w + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence szc when three letters picked without replacement from {b: 6, w: 1, z: 1, g: 1, c: 1, s: 1}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of 0*y - 11\/3*y**3 + 6 - 14\/5*y**5 + 0*y**2 + 0*y**4. Find the third derivative of o(z) wrt z.\nAnswer: -336*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110890.1 litres in millilitres?\nAnswer: 110890100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -18*w + 1 - 29 + 22. What is c(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*g**2 - 187 + 188 + 2*g + 228*g**2 to the form l*g**2 + o*g + z and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a microgram in nanograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*(-273)\/(-585)*(-18)\/14?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 12*c. Let o(w) be the first derivative of w**2\/2 - 109. What is o(v(k))?\nAnswer: 12*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 1828*i - 16. Let q be z(-7). Let l = q + 461191\/36. Calculate the common denominator of l and -113\/6.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -28 + 55 - 19 - 5*r. Let g be o(2). Let l(b) = -b**3 + b**2 - b - 1. Let a be l(2). Put 0, -5, g, a in decreasing order.\nAnswer: 0, g, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7032)\/(-2051)*(-105)\/10.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5.73, 1.09, -5, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -1. Suppose -3*j + 9 = -0*j. Suppose c + r = -j, 1 = 2*c + r + 10. Let h(t) = -3*t**2 + 8*t - 7. Let k(g) = c*l(g) + 2*h(g). Factor k(u).\nAnswer: -2*(u - 2)*(3*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 104 and 156.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*y + 42*y + 57*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -723*n - 5785. Let q be m(-8). Sort q, -2, -23, 25 in decreasing order.\nAnswer: 25, q, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4400954285?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(5103) + sqrt(5103)*-1 + sqrt(5103) + sqrt(378)\/(sqrt(6)*2))\/(sqrt(1089)*2*-4 - (-2*sqrt(1089)*2 - sqrt(1089))))**2.\nAnswer: 10108\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50974 and 4312.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199 - 323 + 529 - 10*v.\nAnswer: -10*v + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/2 greater than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 36, 27, 18, 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 113 and 99.2617?\nAnswer: 11216.5721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of x**3\/6 + 4*x**2 + x. Suppose 5*p - 2*q = 49, q + 12 = 5*q. Suppose 0 = -3*m - v - 13 - 7, -2*m - 3*v - p = 0. Give f(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1342, 2106, 3062, 4300, 5910, 7982, 10606, 13872?\nAnswer: 17870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(1216) + 1 + -4 - sqrt(1216)))*-6)**2.\nAnswer: 1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2. Let d(n) = -n**2 + 82612. What is d(w(y))?\nAnswer: -y**4 + 82612","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -27847910 rounded to the nearest 1000000?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 j when two letters picked without replacement from jjffffffffffffffff.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -10\/9, -2, -3 in increasing order.\nAnswer: -3, -2, -10\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -11*q + 2. Let v(j) = 12*j - 3. Give 3*v(s) + 4*z(s).\nAnswer: -8*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 9*o**2 + 9. Let v be k(9). Solve -3 + v = 6*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 5, -72, -2\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 11 + 13 + 2 + 4.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/715 and -61\/220.\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - -33. What is the greatest common factor of 176 and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*c + 4*c. Suppose 28*q - 135 - 33 = 0. Solve q*k + 16 = -c for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 854944449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*i**3 - 48*i**3 + 17 + 2*i + 94*i**3 to the form d*i + f*i**2 + r*i**3 + m and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 6*s**2 - 10*s + 1. Let k(u) = -5*u**2 + 9*u. Calculate -3*i(q) - 4*k(q).\nAnswer: 2*q**2 - 6*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 100471011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 436 and 46508.\nAnswer: 5069372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118447437 is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5601699019?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w - 1. Let b be n(-3). Suppose 0 = -4*v - 4. Let a be (-2)\/(-4) + v\/2. Solve 1 = -3*h + 2*o, -3*o + b*o + 2 = a for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 8*r**2 - 59*r - 1. Let s(z) = -169*z - 10302. Let k be s(-61). Give u(k).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -183*i + 33. Let o be u(11). What is o rounded to the nearest one hundred?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 830 - 834. Let o(n) = 5*n**2 + 4. Let w(h) = 16*h**2 + 11. Give i*w(m) + 11*o(m).\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4019\/(-3960) - 6\/(-15). Let t be 2\/(-132)*(20\/6)\/(-5). Let o = t - q. Find the common denominator of -26\/5 and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 43 = -7. Let z = 43 - t. List the prime factors of z.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + sqrt(176) + -3 - (2 + 1*sqrt(176)))**2 - (sqrt(396) + -3*sqrt(396) + -4 + sqrt(220)\/sqrt(5))**2.\nAnswer: -1016 - 80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.207653 to one dp.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8878290, -8878264, -8878238, -8878212, -8878186, -8878160?\n\"Answer: 26*f - 8878316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 4*o + 26. Let l = 54 - o. Let p be ((-140)\/(-25))\/(3 + 26\/(-10)). What is the greatest common divisor of l and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + u + 9 = -2*u, -5*p - 6 = 2*u. Suppose -2*v - 4*b - 23 = -3*v, 3*v + 5*b - 1 = p. Let a(r) = -r**2 + 8*r + 8. List the prime factors of a(v).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -3. Let c be (110\/3)\/(y\/(-6)). Suppose -4*f = -5*j - 65, f - 10 = 5*j + 25. What is the highest common factor of f and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-8))\/(506\/(-72) - -7). Suppose 3*j = -j. Suppose j = 4*h + 61 - 205. Calculate the highest common factor of h and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1212 = r - 4*r. Let o = r + -169. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5750 divided by -7\nAnswer: 5750\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (88473\/66)\/((-2)\/(-4))?\nAnswer: 7, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-54)\/(-20)*(-130)\/(-156))\/((-3)\/(-32))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 819\/6 + (-1)\/2. What is the highest common factor of h and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + 20*c + 19. Let p(j) = j**2 + 10*j + 9. Suppose 13 = 2*d - 9. Let k(b) = d*p(b) - 6*h(b). Find o, given that k(o) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+0.023\nAnswer: 0.323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.6 + -4.7. Let u = c - -4.2. Let b = 277 - 282. What is the nearest to -2 in 3, u, b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -16 - 1121*z - 5 + 950*z. What are the prime factors of t(-2)?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -z**7\/7 - 2*z**6\/35 + 6*z**5\/5 + 4*z**4\/7 + 13*z - 2. Let i(m) = 0. Calculate m.\nAnswer: -2, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2 - 17*k + 15. Let v be m(8). Let r be 0\/v - 0\/(1 - 2). Solve r = d - 2*t, -d = -0*d - 5*t + 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + c + 22, 2*f + 5*c + 0 + 2 = 0. Suppose f*g - 5*g = 0. Determine x, given that 17*x**3 + g*x**2 - 3*x**2 - 1 - 18*x**3 - 3*x = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, o: 4}. Give prob of sequence fof.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 294 and 5334?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19167.26mg in kilograms?\nAnswer: 0.01916726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 416, -3\/8 in increasing order.\nAnswer: -3\/8, 2, 3, 416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y + 0*y - 212 + 5*y + 3*y - 2*y as l + g*y and give l.\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 6100, -2, 192 in descending order.\nAnswer: 6100, 192, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3886 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h - 20995 + 20936 - 6*h.\nAnswer: 2*h - 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 10:46 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10201*k**2\/4 + 226543*k + 5031049.\nAnswer: (101*k + 4486)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -3.7. Let q = o - -0.1. Let m = q + 0. Sort m, 0.1, -3 in ascending order.\nAnswer: -3, m, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6131568594?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -308*o - 78539. What is s(-255)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.03 + -86.03. Let p = w + 143. Let r = p - 56.99966. What is r rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -h - 4*f + 16, 0 = 3*h + 2*f - 8. Suppose -2*w = 2*s + w, 5*s + 2*w = h. Is (-462)\/(-2) + 2 + s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**2\/6 - 75*h\/2 - 550\/3 = 0 for h.\nAnswer: -220, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 8:26 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -35 < 2\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*t**2 - 12*t**2 - 3*t**2 - 55*t wrt t.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25.254 + 24.254. Which is the nearest to d? (a) -1 (b) 5 (c) -32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 57 = -o, 5*o + 29 - 80 = 2*h. Let m = 9 - 30. Let f = h - m. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h + 0*h + 9 + 0*h. Let n be b(5). Suppose n*y - 29 = 67. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s - 5 + 0 + 3. Let g = -4439 + 4432. Calculate v(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1751 - 767. Let w = 1724 - k. List the prime factors of w.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*t + 10 = 0. Let u(q) = -q**2 - 8*q - 1. Let l = 8 + -15. Let f be u(l). Solve -t*a = f - 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 2:52 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2150*f**5 - f - 777 wrt f?\nAnswer: -43000*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 2:32 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 16985*g + 6822. Is d(13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3465 + 17089\/5. Let c = -273311\/10530 + -3479\/162. Let a = y - c. Is a equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2217 and 8004848?\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 1.63399?\nAnswer: 4.90197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -4, 2\/5, -5.5, -81563?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167947*o**2 - 25246*o - 63172*o - 8640 - 318673*o**2 + 54440*o**2 - 588245*o**3 - 17422*o = 0 for o.\nAnswer: -12\/49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -57, -244, -555, -990, -1549?\n\"Answer: -62*n**2 - n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 261799, 20, 2 in descending order.\nAnswer: 261799, 20, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 12\/53, -0.08, -2\/11?\nAnswer: 12\/53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 5*n + 3, 2*t + n + 19 = 7*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/(-2))\/3)\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 86281 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uf when two letters picked without replacement from {f: 2, u: 6, k: 5, m: 1, i: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dend. What is prob of sequence den?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 255 a factor of 1317616875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.52302957 to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 q when two letters picked without replacement from ytrtytrtktqy?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 greater than 44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-291)\/194 - 1\/(-6). What is the third smallest value in -2\/9, -2\/35, g, 0.2?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 4*f**2 - f - 2. Let b be z(2). Suppose -5*l + 3 = -b. Solve -l*d + 1 = -2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34860 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 5) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 38 (b) -3 (c) 0.1 (d) 64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -160, 0.3, -3, 24\/7, -2\/15, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2625 and 280.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 57*r + 300 + 124 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.08 - -16.08. Let w = 16.5 - m. Which is the closest to -1\/2? (a) -1\/2 (b) w (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 29784 and 39712?\nAnswer: 119136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 37691097?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 4. Let b be (-3)\/(5\/20 - 1). Suppose 4*l + 6*k = g*k + b, -4*l + k + 9 = 0. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1316, 2643, 3980, 5327, 6684, 8051, 9428?\nAnswer: 10815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.5 - -2.5. What is the second biggest value in -1, t, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 115 - 313 = 0. Suppose 2*c - o = -27. Is c a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14.1 + 14. Let y = -0.1 + -0.9. Let k = -388\/13 - -30. Which is the closest to n? (a) k (b) y (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - u - 13 = 18, u + 66 = -2*r. What are the prime factors of 2\/5 + (-9576)\/r?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24\/5 + 1 + 12\/(-15). Suppose -3*q - 4*a = -1190, 9*q - 4*q - p*a - 1925 = 0. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -49.72.\nAnswer: -248.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.9 + 3. Suppose 0 = -0*v + 5*v - 15. Sort -0.1, v, r in descending order.\nAnswer: v, r, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 148 and 202019.\nAnswer: 29898812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 6 + 6 = 0. Let q(l) = -9*l + 7. What are the prime factors of q(g)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 1:44 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1784 - 632. Let w be (-20)\/70 + x\/14. Let u = w + -47. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1903*w + 2905*w - 110*w)*(-2*w**2 + 0 - 1 + 6*w**2) to the form p*w**3 + s*w**2 + k + h*w and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -5*i**2 + 5. Let c(w) = -w**3 + w**2 - 1. Determine 10*c(f) + 2*t(f).\nAnswer: -10*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 336 and 1900920?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*f**3 + 186*f + 37*f**3 - 358*f + 172*f.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28647?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, -14, -2\/32223 in ascending order.\nAnswer: -14, -2\/32223, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4*h = -44, -94 = -4*q + 3*h - 1. Suppose 2*c = -3*t + q, 2*c - 2*t - 28 = -6*t. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of a**4\/12 + 4*a**3\/3 + a**2 + 5*a. What is x(-6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47474*a**2 - 1661592*a - 70 = 0 for a.\nAnswer: -35, -1\/23737","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -17123, -34246, -51379, -68522, -85675?\n\"Answer: -5*h**2 - 17108*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 75) + -104 + 122 + -19.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 190320 and 2013?\nAnswer: 2093520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28*d**5 + 443166*d**4 + 2*d**3 - 87469*d**2 - 36 wrt d.\nAnswer: -1680*d**2 + 10635984*d + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4 minus 363?\nAnswer: -364.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c = -36, 0*c - 12 = 4*h + 7*c - 4*c for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + 6*t + 1. Suppose 3*p = 4*p - 4*z + 14, -4*p + 34 = 2*z. Determine g(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 6 = -3*o + 4*t, 3*t = o. Suppose 0 = 2*w - 3*w - 2. Sort 4, w, o in decreasing order.\nAnswer: 4, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 196 and 1428?\nAnswer: 9996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 57200198 to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 1\/11 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 833.9834 centuries in months?\nAnswer: 1000780.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 o when four letters picked without replacement from nnonojojnnonoono.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4*t**3 + 18*t**2 - 6*t + 2. Determine o(3).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 + -0.51. Let r = -717.5 + 717.4. Sort 0.14, r, t in ascending order.\nAnswer: r, t, 0.14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21 by 633.\nAnswer: 7\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**8)**(6\/19))**17 assuming z is positive.\nAnswer: z**(816\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20209.9233 hours to weeks.\nAnswer: 120.2971625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9001003ml to litres.\nAnswer: 0.0009001003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**5 + t**5 - 12*t**5 + 1 - 1 + t**5 + 2*t**5 - t**3 + t**3 + (2*t**4 + t**4 - t**4)*(-t + 2*t + 0*t).\nAnswer: -9*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4\/13 - 3792*m**3\/13.\nAnswer: -2*m**3*(m + 1896)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 32 = t. Suppose 51 = 4*c - n + t*n, 4*n - 52 = -4*c. What is the highest common factor of c and 72?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -22*z**3 + z + 3. Let l(n) = -11*n**3 + 1. Determine 5*l(q) - 2*r(q).\nAnswer: -11*q**3 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 7 - 41 = 4*x, 5*s - 90 = 5*x. Suppose 15 = -5*o - 5*p + 45, -3*o = p - 12. What is the remainder when 3\/((-36)\/8)*x is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 5*m - 1. Let c(w) = 242*w - 1455. Let a be c(6). Calculate s(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*n**3 - n + 1 + 4 - 203*n**3 - n - 129*n**3.\nAnswer: -349*n**3 - 2*n + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*o**2 + 0 + 30*o**2 + 2 + 2656*o.\nAnswer: -o**2 + 2656*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -19\/48*t**4 + 0 + 1\/15*t**5 + 5\/6*t**3 - 9*t**2 + 1\/240*t**6 + 0*t. Factor m(j).\nAnswer: (j - 1)**2*(j + 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44388 divided by -12.\nAnswer: 3699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t. Let z(k) = -20*k. Let x(o) = -14*b(o) - 2*z(o). Suppose 2*l = h + 4*l - 9, 0 = 5*h - 2*l - 57. Let g(n) = -n + h - 11. Determine x(g(s)).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 10 = 0, 0*n + 5*n + 8 = 2*s. Find g such that -3 + s*g + 3*g**2 + 9*g - 5*g - 12*g**3 - g = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -2\/3, 168, -2, -0.3, -14 in ascending order.\nAnswer: -14, -2, -2\/3, -0.3, -0.1, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + 13. Let p = d + -29. Sort 3, p, -3 in decreasing order.\nAnswer: p, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9649, -6104, -2559, 986, 4531, 8076?\n\"Answer: 3545*r - 13194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 30517355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 581 is divided by 193.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 16*d - 85. Let u be w(5). Put -488, -1, u in descending order.\nAnswer: -1, u, -488","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 546 is divided by 114?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -2*c. Suppose -o - 2 + 16 = c. What is the remainder when o is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of 5*r**4\/14 + 2*r**3\/7 - 2*r**2\/7 + 8. Determine g, given that v(g) = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u - 2. Suppose 5*i + 5 = 20. Calculate the least common multiple of 10 and k(i).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 2*x + 14 = t, -12 = 3*t - 3*x for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2160*b + 25. Let o be n(1). Let g = o - -3664. What are the prime factors of g?\nAnswer: 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventy-two fifths of a century?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u**(2\/11)*u)\/((u*u**(2\/9)*u)\/u))\/(u*u**(2\/11)*u\/(u\/(u*(u*(u*u**(-3\/5))\/u)\/u*u)*u)))**(12\/7))**(-12\/5) assuming u is positive.\nAnswer: u**(64\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -23, -121, -351, -767, -1423, -2373, -3671, -5371?\n\"Answer: -9*a**3 - 12*a**2 + a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -y + 1463, -f - 4*y = -6*f + 3638. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-139)\/((-43090)\/(-372))*1\/((-10)\/(-4)*6)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y - u = -6*y - 6, -5*u = -3*y - 17 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-78)\/143 - 909766285\/(-220)) + (-3)\/4. Round v to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*o - 3*o - 2 - 8*o)*(2*o + 4*o - 3*o)*(4 - 3*o - 5 - 3).\nAnswer: 9*o**3 + 30*o**2 + 24*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 50 divided by -3335\nAnswer: -10\/667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 246, 1, -28 in ascending order.\nAnswer: -28, 1, 246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 1:17 AM?\nAnswer: 362","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 508126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/25*1\/3)\/(74\/(-37))*140?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 194727168 a multiple of 348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (((-39)\/65)\/(8*(-18)\/288))\/((-8)\/(-580))\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1410703196?\nAnswer: 2, 7, 50382257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 734 * 0.4\nAnswer: 293.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - -1 - 4\/2. Let f(s) = s**3 + 12*s**2 + 6*s - 37. Let b be f(-11). Let k = b + -16. Solve 3 = -k*h - c for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) -6 (c) 0 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -21. What is the units digit of h\/(-6) - 112\/(-21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -6*n - 1. Suppose -p + 0*i + 7 = 3*i, 5*i = -2*p + 15. What is the remainder when l(-3) is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51447 is divided by 6241.\nAnswer: 1519","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 3926445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 281520.5 meters in millimeters?\nAnswer: 281520500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -459282 + 3*l + 459282.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.0062, 5, 0.2, -17.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 10, -4, 462, 4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1283985694?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 2 t, and 1 p when four letters picked without replacement from txxxxpxqtextpxqtep.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2764 + 3?\nAnswer: 2767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8*(-12)\/384)\/((-1)\/(-12)). Factor -8\/7*i**4 + 0 - 4\/7*i + 8\/7*i**2 + 0*i**s + 4\/7*i**5.\nAnswer: 4*i*(i - 1)**3*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 110327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -240250 (base 6) to base 8\nAnswer: -50546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1423 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 16. Suppose 4*k + 2*p - 19 = -3, -g*p = -3*k + 5. What is the derivative of 6*u**k - 18*u**3 - 135 + 124 wrt u?\nAnswer: -36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0235 * -49.8.\nAnswer: 1.1703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*46.\nAnswer: -13.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}