diff --git "a/data/dm_maths/full_data/2312_11255.jsonl" "b/data/dm_maths/full_data/2312_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/2312_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Evaluate 1\/((-4)\/12*3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifty-two fifths of a kilogram?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*n + 3296 = 53*n. Solve 0*j - n = -2*j + 4*g, -2*g - 4 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/12*(-81)\/(-54).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3 - 7*u - 11 + 6*u + 2*u. Let x(w) be the third derivative of -w**6\/120 - w**5\/20 - w**4\/24 + w**3\/6 - w**2. Let n be x(-3). What is o(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 1, -18, -0.3, 2\/25 in descending order.\nAnswer: 1, 2\/7, 2\/25, -0.3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011000010000101001100 (base 2) to base 8.\nAnswer: -13020514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 - ((2 - -3) + (13 + -16 - -4))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -6, 0.2, -0.3 in decreasing order.\nAnswer: 0.2, 1\/6, -0.3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 443 divide 263585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2*v**2 + 2746768*v + 8240286 = 0.\nAnswer: -1373381, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of o**5\/2 + 205*o**4\/8 - 235*o**3\/6 - 1065*o**2\/4 - 315*o - 170. Suppose c(w) = 0. What is w?\nAnswer: -42, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-21)\/9 + 2)*-15. Let n(v) = v**2 - 6*v + 5. Determine n(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 10, 0.2 in increasing order.\nAnswer: -3\/7, 0.2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 680364 and 498?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43527 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0962937769 rounded to 3 decimal places?\nAnswer: -0.096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 7 - 4. Suppose 0 = 2*j - 4*q, 3*j + 3*q - 22 = -2*q. Solve k - 24 = 5*b, -15 = j*b + z for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 197.99226 microseconds?\nAnswer: 0.00000005499785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(63\/(-45)) - (1 + 0)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 9*l - 14. Let j be d(-16). Let g = j + 160. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3*s**2 - 5. Let n(o) = 10 + 16 - 4*o**2 - 30 + 2*o**2. What is 7*n(i) - 6*x(i)?\nAnswer: 4*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 d when four letters picked without replacement from {d: 6, z: 6}?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate m**2*x - 7*m**2 + 49*m*x + 3459*x wrt m.\nAnswer: 2*m*x - 14*m + 49*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 7*u**2 + 7*u - 6. Let r be g(6). Let s(n) = -3*n**2 - 1 - 6*n + r*n**2 + 4*n**2. Give s(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 6. Suppose -o - 3*o - 28 = -5*a, -m*a + 10 = 3*o. Does 5 divide 5*a\/((-2)\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - 10*z. Let d = -7 + -1. Let y be g(d). Suppose -5*c + 44 + y = 0. Solve -2*r + 8 = 2*x, 4*r + 1 = x + c for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29355934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -627, 3, 0, -7 in increasing order.\nAnswer: -627, -7, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(7) + 4*sqrt(28)\/sqrt(4) + sqrt(7) + sqrt(7)) + sqrt(18)\/(sqrt(45)\/(sqrt(5) + sqrt(20))).\nAnswer: 22*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1771979052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 21.652*0.8\nAnswer: 17.3216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 4*i = 15. Let v be 2\/7 + (-52)\/(-14). Solve 0 = u + i*o + 12, u - o - v*o - 28 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 283 divide 217447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 11:50 AM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -192*r**2 + 937*r.\nAnswer: -384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05842066467 to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (8 + 3 + -4 - 4) + -13 + 50\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + -3 - (1 + -4). Let b(w) = -p - 2 + 1 + 1. Let y(g) = -2*g + 6. Let u(r) = -2*b(r) - y(r). Find the first derivative of u(x) wrt x.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5381, 94, -5195, -10486, -15779, -21074?\nAnswer: -26371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rjnonjnngnj. What is prob of picking 1 r and 1 o?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9\/8 (b) 4 (c) 0.4 (d) -4\/5 (e) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 d, and 1 c when three letters picked without replacement from {s: 1, t: 1, e: 11, d: 1, o: 1, c: 1}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 6, 40\/47.\nAnswer: 0.2, 40\/47, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 582 and 675?\nAnswer: 130950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 46440?\nAnswer: 4643a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(396) - -3*sqrt(396)) - (sqrt(396)*-1 + 3)) + (sqrt(396)*2*6)**2 + -4 + 2 + sqrt(396).\nAnswer: -60*sqrt(11) + 57019","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 less than 1536?\nAnswer: 1555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1296*-8.\nAnswer: -10368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 5*j + z, 3*z + 2*z = -j + 10 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3687873092?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 70991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2225573 to the nearest integer?\nAnswer: 1492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.03, 0.07, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 189*b**3\/5 - 243*b**2\/5 + 72*b\/5 + 4\/5 = 0?\nAnswer: -1\/21, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*c - 26 = -28*c + 4*t, 0 = 2*t + 10 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25563306 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10 (b) -3 (c) -174\/5 (d) -2\/3 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*c - 39 = -116 - 263 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -316*h*i**3 + 18*i**3 + 5 with respect to h.\nAnswer: -316*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*d*i*s**2 + 97*d*i*s*v - 3*d*s**3*v + 6*i*s**3 - 2*s**3 wrt v.\nAnswer: 97*d*i*s - 3*d*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25342\/228159 - 1\/25351. Let w = 0.3 + -0.8. Which is the third smallest value? (a) w (b) 0.5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 3*x + 791 = 0, -4*c + 9*x + 655 = 4*x. Let p = 154 - c. Let i(r) = -3*r - 4. Give i(p).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1125, 1, 44, -1, 43 in decreasing order.\nAnswer: 1125, 44, 43, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 - (12\/42 - 74134\/14). Suppose 0 = -5*q + 4*s + d, 0 = -4*s - 2 + 6. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a9aa9 (base 12) to base 13.\nAnswer: 1c3908","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98)*2*-6 + (5 + (-1*sqrt(2) - sqrt(2)) + sqrt(2) + sqrt(162))**2 - ((-1 + sqrt(242) + 1)**2 - (sqrt(2) + 0 + -5 - (sqrt(8)\/sqrt(4) + 0))).\nAnswer: -94 - 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 141034?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 197353143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -389*l**3 - 4*l**2 + 1454 wrt l?\nAnswer: -1167*l**2 - 8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*a = 3*w - 1315, -a + 94 - 69 = -5*w for a.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/(-1))\/(1 - 4). Suppose -4*d + 8 - 4 = r. Let u(l) = 37*l + 1. Is u(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5*k - 65 = 0, 2*p - 225 = -p - 5*k. Let a = p - 67. Solve -3*u + 4 = a for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ziooizugzxou. What is prob of picking 1 z and 1 x?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33 - -49. Suppose 23*i = j*i + 2198. Suppose 5*r - 151 = -2*w + 151, -2*w - 2*r = -i. List the prime factors of w.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 - 4*x**2 + 4*x**2)*(x - 6*x + 3*x) + 3*x**3 - 2*x**3 + x**3 + (4*x**2 - 4*x**2 - 2*x**2)*(-355 + 45 - 89)*(2*x + 0*x + 0*x).\nAnswer: 1594*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 b when two letters picked without replacement from evdekdlvkdbkdkk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/10*60\/24.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x**2 + 9*x + 54. Calculate the lowest common multiple of p(5) and 192.\nAnswer: 5568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a9b182 - 1?\nAnswer: -a9b183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 727432 is divided by 342.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 217409, 217417, 217451, 217523, 217645, 217829?\nAnswer: 218087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6\/((-13)\/2 + 8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4*i**2. Let p(k) = -2*k**2 - 4*k - 4. Let c(h) = h**2 + h + 1. Let a(m) = -20*c(m) - 5*p(m). What is a(z(u))?\nAnswer: -160*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - x = -u - 59, -9 = -x + 5*u. Let j = x + 60. Let c = j + -28. Calculate the remainder when c is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4*g = -56, -103 = 9*l - 14*l + 3*g. Are -2 and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j**2\/3 - 3538790*j - 1878455199615 = 0. Calculate j.\nAnswer: -1061637","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*sqrt(156))\/(sqrt(60)\/(sqrt(5)*-2 + sqrt(5))).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-1*2*42\/(-28)*(-31)\/3.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 41*t + 17. Suppose 29*m = -130 - 218. What are the prime factors of d(m)?\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 2*u + 3. Let j be v(2). Let i = j + -4. List the prime factors of (0 + 2 - i)*1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a + 15. Let j be v(9). Let d = j + -28. Solve -4*i - 4 = -d*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/9 and 0.0348617 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cnecnnccqnnw. Give prob of sequence ewnn.\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5825333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6997 is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -4*j**4\/3 + 5288*j**3\/3 + 3532*j**2 - 5288*j\/3 - 10592\/3 = 0.\nAnswer: -2, -1, 1, 1324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 119090859 to the nearest one hundred thousand.\nAnswer: 119100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -134.4358 - -1.5758. Let p = z + -1.14. Let b = p - -134.0087. What is b rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = n + 24. Suppose 2*a - 9 = a. Calculate the greatest common divisor of n and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**10\/(b**(-2\/9)*b)*(b\/b**(-14))\/((b\/b**(1\/6))\/b) assuming b is positive.\nAnswer: b**(439\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + i = 2, -4*u - 9*i + 7*i = -6 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -129, 248, 911, 1854, 3071, 4556, 6303, 8306?\n\"Answer: -w**3 + 149*w**2 - 63*w - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/25 of a milligram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -51a8 + 1406?\nAnswer: -3ba2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -5*d - 20 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 - -108. Suppose 2*g - 5*v = w, 6*v + 112 = 3*g + 4*v. Suppose -6*j + g = -34. Solve 5*h = -3*u + j, 3*h + h - 4 = -u for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20765, -20649, -20501, -20321?\nAnswer: -20109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 5206 = 5*y + 2*o, -4*o - 15624 = -3*y. List the prime factors of y.\nAnswer: 2, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 divided by 5603.\nAnswer: 60\/5603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79800279.3us to weeks.\nAnswer: 0.00013194490625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-5))\/((-21)\/(-15)). Let k be ((1 - 0)*-15)\/1. Let l be (k\/7)\/3 - -1. Does m = l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (9 - 6 - -7)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49\/7 + 6269\/7 - 4\/7?\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 161*l + 171*l + 0.\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -2 - -3 - (11 + -5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 z, and 1 e when three letters picked without replacement from {n: 1, z: 2, e: 1, c: 1, q: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 36247415 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-8\/9))**(2\/75)*(n*n**2)**27 assuming n is positive.\nAnswer: n**(54659\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + m**2 - 1)*(-1 + 4 - 1)*(-18*m + 10*m - 4*m + (-2 + 3 - 3)*(-m + m - 2*m)).\nAnswer: -16*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*42*(-4)\/(-16). Solve -4*k + 5*z = -b - 3, -3*k + z + 7 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -5*a - 0*o + 26, 2*a - 3*o - 7 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-9)\/(-15))\/((-2)\/(-10)). Let t(y) be the third derivative of y**5\/60 - y**4\/12 + 2*y**3\/3 + 3*y**2. Is 4 a factor of t(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 9 - 28*x + 4*x**3 + 10*x**2 + x**3 - 3*x**3 - x**3. Let u be -13 - (-5 + 2) - 2. What is the tens digit of q(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 0.5, 4.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2*l - 184, 2*l - 2*z + 40 = 230. Solve -3*h + 71 = l for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.018864 months to centuries.\nAnswer: 0.01001572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*b - 0*b + 3*c, 0 = -c - 4. Calculate the highest common factor of b and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 5*w - 1 - 11, -4*y = -2*w + 18. Suppose 0 = -w*f + f - 114. Is (-2 + 1)\/(1\/f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -22*t - 1\/20*t**5 + 0*t**3 + 1\/12*t**4 + 0 + 1\/2*t**2. Let u(r) = 4*r**3 - 3*r**2 - r - 1. What is 3*a(j) + u(j)?\nAnswer: j**3 - j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*i - 4. Suppose -5 = 2*n - 1. Let u be (0 - -1) + n\/i. Which is the third smallest value? (a) u (b) 2\/9 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 55*j*u**2 - 2*j*u - j - 199*u**2 - 91 wrt j?\nAnswer: 55*u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**2\/6 + 957*b\/2 + 5581736\/3 = 0. Calculate b.\nAnswer: -2201, 5072","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -6. Let h = 479\/2 - 235. Let f = 25\/6 - h. What is the nearest to -2\/5 in f, p, -1\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/40 and 9\/168*(-8)\/(-4).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/680 and 119\/561200?\nAnswer: 9540400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*n**2 + 3*n**4 + 22*n**2 + (-n - 6*n + 5*n)*(n**3 + 2*n**3 - n**3) + (3*n**2 - 3*n**2 + 2*n**2)*(-n**2 - n**2 + 0*n**2) - 2*n**4 + 2*n**4 + n**4.\nAnswer: -4*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -19.9. Let t = v - -0.8. Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23203231031 (base 4) to base 7\nAnswer: -34516226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-94)\/(-6))\/(2\/6). Suppose 5*v - 53 = d. Does 20 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 861415, 861302, 861113, 860848, 860507, 860090?\n\"Answer: -38*n**2 + n + 861452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20.5 + -21. What is the nearest to 1 in j, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 7*w - 4. Let k be p(8). Find the third derivative of -8*q**4 - 13*q**k - 4*q**2 - 8*q**2 wrt q.\nAnswer: -504*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -5*x**2 + 4*x - 2. Let o(z) = 14*z**2 - 11*z + 7. Let l(m) = 4*o(m) + 11*w(m). Find the first derivative of l(t) wrt t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (1 + 13 + -8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.2 - -1.35. What is i rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**4 + 30*y**3 + 144*y**2 + 216*y = 0.\nAnswer: -6, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1434 - 1077 + 2*d + 1053 + (3 + 3 - 4)*(-2*d - d + 4*d).\nAnswer: 4*d - 1458","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 22 = -31. Suppose -14*m = -w*m - 1735. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 269 - 244. Is 25 a factor of a*(-4 + 7 + 7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wiawwawiawwwaiwa. Give prob of sequence waiw.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -423276150 - -1141152524615\/2696. Let b = z + -36\/337. What is the common denominator of b and 31\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 4.2, -3\/2, -3 in descending order.\nAnswer: 4.2, -0.3, -3\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kl when two letters picked without replacement from elk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 22622, 23763, 24904?\n\"Answer: 1141*h + 21481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ih when two letters picked without replacement from ihhhiihihiiieihihhi.\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 1 + 13 = 0. Let d = s + 4. Solve 4*h - 5*c - 19 = -d, 2 = -c for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 248394837 to the power of 1\/3, to the nearest integer?\nAnswer: 629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -38\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (39\/2)\/(165\/220). Suppose -s*i + 42*i = 128. Solve -r = i - 9 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 130106546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2927 and 2927.\nAnswer: 2927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9\/(-18))\/((-17)\/28560). Calculate the greatest common divisor of 525 and a.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/5, 339, -754, -2?\nAnswer: 339","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1032601919 to the nearest integer?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22923*n**4 + 13598 with respect to n.\nAnswer: -91692*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.9 to one dp.\nAnswer: 4.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**2 + 60*z - 26. Is 22 a factor of d(-33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of h**3\/3 - 11*h**2\/2 + 3*h. Give w(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0\/y)**(-2\/23))**(-6\/7)*(y*y*(y\/(y*y\/(y**(1\/5)\/y)))\/y*y**(-6\/7)*y)**(-6) assuming y is positive.\nAnswer: y**(3114\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6902.8 rounded to the nearest one hundred?\nAnswer: 6900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 7344.\nAnswer: 7344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -9.0610114081 and 0.\nAnswer: -9.0610114081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -5*k**7\/42 - 9*k**6\/2 - 115*k**5\/2 - 1445*k**4\/6 + 385*k**3\/2 + 3025*k**2\/2 - 120*k + 2. Find h such that j(h) = 0.\nAnswer: -11, -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/25 of a meter?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18234076 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r + 4. What is the remainder when 2365\/10*32\/88 is divided by i(-9)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 4245 = -3*o + 4203, -12*o - 168 = 5*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 199.04 + -199. Let l = t - 0.0192. Round l to 3 dps.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*j - 10 = -78*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 414273421?\nAnswer: 414273421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.9 - -3.9. Let q = 4.4 + -4.2. Which is the nearest to q? (a) 2\/19 (b) z (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7780 and 3242315?\nAnswer: 1945","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 35 = 13. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 0.05 (c) -1.02 (d) 3903\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15471\/13 - 1191. Let w = -145\/143 - k. Let i(h) = -h**2 + 6*h - 4. Let z be i(4). Which is the third biggest value? (a) w (b) z (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 1:01 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2010 (base 3) to base 8\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-2)*(-44)\/(-6). Let z = h - 7. Solve -a = -z*a + 12 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of r**5\/20 - 5*r**4\/12 - 2*r**3 - r**2 + 9*r. List the prime factors of d(7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1*sqrt(130) - sqrt(130)))\/(4*-1*sqrt(10)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**4 - 55*r**2 + 90*r - 40.\nAnswer: 5*(r - 2)*(r - 1)**2*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1222 - 10022011000012?\nAnswer: -10022010221020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 68\/(-60) - (5 + 272\/(-40)). Which is the smallest value? (a) i (b) 0.5 (c) -0.3 (d) 1.98\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 92, 214, 396, 644, 964, 1362, 1844?\nAnswer: 2416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19264643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/130*108 - (-6)\/(-39). Solve 4*k = -o*r + 8 - 0, -3*r = 4*k - 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 37*b. Let n(l) be the second derivative of 5*l**3\/2 + 189*l. What is o(n(h))?\nAnswer: 555*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 4*y + 13 - 21, 2*y = 0. Suppose 8 = 4*g - 20. Solve -m*a = -g*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.92 plus 977678992?\nAnswer: 977678990.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*w**2 - 740*w - 24424 = 0. Calculate w.\nAnswer: -142, -43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -2. Let x = -2.1 - n. Let y = 20 + -18. Which is smaller: y or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a hour in seconds?\nAnswer: 5850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11536.\nAnswer: 2, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -11*n**5\/5 + 4*n**4 + 17*n**2 + 14*n + 373. What is the second derivative of p(g) wrt g?\nAnswer: -132*g**2 + 96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -51\/2758616?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-26\/5)\/(b*b\/(b\/(b*b\/(b*(b**22\/b)\/b)*b))))\/((b\/b**(-8\/11))\/b**(-2\/55)) assuming b is positive.\nAnswer: b**(552\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/13884 and -43\/12350?\nAnswer: 6594900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + w + 28, 15*f - 13*f - 5*w - 23 = 0. What is the fourth smallest value in 1, -39, -3\/5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w\/(w\/(w*w**(-2\/3))))\/(w\/(w**(-5)\/w)))**(-13\/4))**(-13\/2) assuming w is positive.\nAnswer: w**(-2873\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-3))\/(30\/(-180))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3206314, -3206311, -3206320, -3206347, -3206398, -3206479, -3206596, -3206755?\n\"Answer: -i**3 + 10*i - 3206323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*r + 25 = 0, -c + 4*r + 29 = 4*c. Suppose c*z - 2*m = 14, -3*z + 24 = 2*m + 2*m. What is the greatest common factor of 1 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c. Let m(f) = -88357 + 1717*f + 44174 + 44183 + 2*f**2. Give n(m(p)).\nAnswer: 4*p**2 + 3434*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -397 + 393. Let n = -5 + 3. Put u, n, 3 in decreasing order.\nAnswer: 3, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/3 - 1)\/(-2). Let j(m) be the second derivative of 1\/15*m**3 + 3\/50*m**5 + 0*m**2 - 1\/75*m**6 - 1\/10*m**4 - 2*m + c. Factor j(s).\nAnswer: -2*s*(s - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1 + (sqrt(504)*1)\/(-3*sqrt(32)))**2.\nAnswer: sqrt(7) + 11\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2514)\/126 - (894\/(-45) + 34\/(-255)).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of 2*y**7\/21 + 2*y**6\/15 - 3*y**5\/5 - 5*y**4\/3 - 4*y**3\/3 + y. Let u(g) = 0. What is g?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 + 26 - 5*h)*(-4 + 1 + 0) - 8*h - 17*h - 10*h.\nAnswer: -20*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 338 and 95992546.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 21*d + 14. Let s(q) = -q - 2. Let y(z) = -70*s(z) - 2*v(z). Let m be y(-4). Solve m = -o - 10 + 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80, -74, -70, -68?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-8) - 52\/(-8)) + -10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2504277 a multiple of 533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2*u + 28 = 0, 6*c - 3*c = -8*u + 24. Let y(o) = o**3 + 7*o**2 - 5*o - 10. Calculate y(c).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l + 0*l - 357*l**2 - 278*l**2 + l as z*l**2 + f*l + g and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f**3 - 2 + 1 + 5*f**3 + 2*f**3 - 3*f**3 + 0*f**3 + (8*f**2 - 6*f**2 + 2*f**2)*(0 + 0 - f) as g*f**2 + j*f**3 + y*f + a and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 4*y - 524, 0*y + p = 3*y - 401. Suppose 4*f - f + 4*g - 101 = 0, -y = -4*f - 5*g. Calculate the remainder when 105 is divided by f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/m**(10\/3)*m)**(-1\/15))**(-5\/12))**(-9\/8))**(-16\/3) assuming m is positive.\nAnswer: m**(-2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of 4*v**2 - 10*v - 4. Let u(h) = h - 1. Let c = 7 - 8. Let a be -3 + (c + 8)\/(-1). Give a*u(r) + y(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 162, 3, -22, 0 in increasing order.\nAnswer: -22, -4, 0, 3, 162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.993 to one dp.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 16*a + 7. Calculate g(12).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 203 (base 6) to base 7.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25002 is divided by 521.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -1\/5, -0.31, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u - 2. Let q(c) = -1 - 5 + 2 - 7 - 8*c. Let z(j) = -4*j - 6. Let h(k) = 3*q(k) - 5*z(k). Calculate -2*h(n) + 3*l(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - y + 2. Let d be s(0). Let j(f) = 73002*f - 4. Let o be j(d). Round o to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + 0 + 0)*(1 - 1 + 3*z**2) - 2*z**3 - 2*z**2 + 2*z**2 + (-1 - z + 1)*(-z**2 - 1 + 1) + 2*z**3 - 2*z**3 - 2*z**3.\nAnswer: -15*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1600)\/(-375) - (2\/(-10) + 7227\/1485 - 4)?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g - 10*z - 15 - 51, -1639*g = -1637*g - 3*z - 29 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4\/9661 - -19286\/86949. Which is the biggest value? (a) 0.049 (b) -2 (c) l (d) -6 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 168366863 to the nearest integer?\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, -2\/3, -697.4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 69 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/31, 4, -0.5.\nAnswer: -0.5, 2\/31, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1053, -3\/5, -0.2, -0.5, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/4740 and 13\/203030.\nAnswer: 1218180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 3*a + 8, 0*a = 4*b - 5*a + 4. Suppose c - 2*k = -b*k - 12, -3*c = -5*k - 8. Let f be 1\/3*(-6)\/4. What is the smallest value in 0.3, f, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1166073364?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1321c9 (base 14) in base 4?\nAnswer: 2200313311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 251 = w + 2*y, -2*w - 6*y + 510 = -4*y. What is the highest common divisor of w and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-35)*i*i)\/((i**(5\/6)\/i)\/i) assuming i is positive.\nAnswer: i**(-191\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -3*i - 295 - 88, -2*t - 4*i = -376. Calculate the remainder when t is divided by 69.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 4577.395km to micrometers.\nAnswer: 4577395000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -5 + 0*y**4 + 0*y**2 + 2\/55*y**5 + 0*y + 0*y**3. Suppose x(q) = 0. Calculate q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from byleyylybxybye. Give prob of sequence ly.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k + 4*n = 14*k - 79040, -3*k + 5*n + 118566 = 0. List the prime factors of k.\nAnswer: 2, 9883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1482*k + 27095 - 25613 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 4:43 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*f**4 - 30*f**3 + 15*f**2 + 80*f - 60 = 0. What is f?\nAnswer: -6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 21875 (b) 4 (c) -1 (d) 1503\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 2*d**2 - 2. Let i be q(0). Let g be (-3)\/i + (-8)\/6. Let a = 0.1 - 0.2. What is the third biggest value in a, -0.2, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 + 41 + -2 + 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**2 - 1615*b - 216319. What is g(-117)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 497084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (8*2\/(-216))\/((-1)\/(-6))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1, 2\/7, 757, 20\/3 in ascending order.\nAnswer: -6, -1, 2\/7, 20\/3, 757","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c + 7. Suppose 2*g + g = 24. Let j be w(g). Let l = 38 + j. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 5*a**2 - 13*a + 29. Let w(g) = -36*g**2 + 90*g - 202. Let k(i) = -44*h(i) - 6*w(i). What is z in k(z) = 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, -5\/9, -3.\nAnswer: -3, -5\/9, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 6*d + 6. Let t(c) = -c**2 + 9*c - 11. Let i be t(8). Let n be a(i). Sort 1, n, 4 in descending order.\nAnswer: 4, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 129, 211, 293, 375?\n\"Answer: 82*h + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -478, -476, -474, -472, -470, -468?\n\"Answer: 2*f - 480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 263.\nAnswer: 1841","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5601*o**3 - 2501*o**3 - 3315*o**3 + 3239*o**3.\nAnswer: -8178*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16.1 + -0.1. Let w = -15.3 + i. Let o be (198\/110 - 1)\/((-12)\/10). Which is the second biggest value? (a) -2 (b) w (c) -2\/5 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -861*t + 2*t**3 + 28*t**2 + 36*t**2 + 890*t as p*t**3 + v + m*t**2 + n*t and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n - n - n)*(-2 + 2 - n) + (-16*n - 139 + 139)*(3*n - 2*n - 2*n) as a + s*n**2 + y*n and give s.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -33017872 equal to 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 1188*w - 4587. Determine g(4).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**4\/17 + 12*f**3\/17 - 14*f**2\/17 - 12*f\/17 + 16\/17 = 0. What is f?\nAnswer: -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j - 8. Let w be 16\/88 + 128\/22. Let b be y(w). Let o be (-8)\/(-12)*(4 + -1). Solve 4*h - b = o for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32187500 to the nearest 1000000.\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-170)\/(-119))\/((-6)\/(-21)). What is the highest common factor of 245 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -741 + 17188. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73.5361389 microseconds to weeks.\nAnswer: 0.00000000012158753125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 381 + -341. Suppose -59*q + y = -58*q. What is the greatest common factor of 64 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 62269*t + 380580.\nAnswer: 62269","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -1171\nAnswer: 2\/1171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + 4*(2 + sqrt(98) + sqrt(98) + sqrt(98) + sqrt(98)) + sqrt(98) + 5 + sqrt(98)*-2 + 1)**2.\nAnswer: -66513 - 6930*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + z + 1 = 2*z, 5*l = -3*z + 11. Solve -l*g = -0*g + 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -27654?\nAnswer: -27653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 + 19.4. Let z be 2\/(-6)*(27\/(-12) + 3). What is the smallest value in -0.4, p, z, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - o + 6 = 5*y, 2 = -4*o + 5*y. Suppose 3*d - 2 = o*d. What is the remainder when (d\/1)\/(2\/13) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11754011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of 2*s**6\/3 + 16*s**5\/5 - s**4 - 16*s**3\/3 - 1027. Factor t(w).\nAnswer: 4*w**2*(w - 1)*(w + 1)*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5213007 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 7*z - 3*u - 33991, -u = -3. Round z to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76323 is divided by 25095.\nAnswer: 1038","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20745300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2. Let l(d) = -9*d - 3. Let o(a) = -a - 1. Let v(y) = -l(y) + 3*o(y). Determine h(v(c)).\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 35 = -3*l, j + 3 = -38*l + 33*l for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/2)\/((78\/(-16))\/13). Is n*3*(1660\/30 - -2) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 + -4111.8\nAnswer: -4111.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/5 - 4040*m - 1762112\/5.\nAnswer: -2*(m + 88)*(m + 10012)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 105045 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42190067*m**3 - 12227491*m**2 - 2*m wrt m.\nAnswer: -253140402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 118 divided by 916?\nAnswer: 59\/458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - w + 83, o - 2*o + w = -21. Let a be o\/(-39) + 5\/3. Determine m, given that 20*m + 12*m**2 - 42*m**2 - a - 5*m**4 + 20*m**3 - 4 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2992 + 1012 = 90*r for r.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3222*k**3 + 169*k**2 - 168*k**2 + 4*k - 4*k.\nAnswer: 3222*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -c - 33, -3*u = -5*u - 8. Let g = c + 19. Let j be 1 - ((-2 - -1) + -4). Calculate the greatest common factor of j and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -4, 191, 102.54, 1 in descending order.\nAnswer: 191, 102.54, 1, 1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -2*o + 15. Is (8\/o)\/((-2)\/57) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135212230 (base 6) in base 5?\nAnswer: 1202120244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -420.6 - -421. Put 5\/32, 0.2, f in descending order.\nAnswer: f, 0.2, 5\/32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**2\/17 - 502*a\/17 = 0?\nAnswer: -251, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -141 (base 6) to base 8.\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -856 + 36?\nAnswer: -820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vm when two letters picked without replacement from {e: 1, a: 2, g: 7, v: 1, k: 2, m: 1}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -673 by -4.\nAnswer: 673\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4*(2546\/(-56) + 4\/(-14)). Let c = a + -180. Factor 0*g - 1\/2*g**4 + 0*g**2 + 0 - 1\/2*g**5 + g**c.\nAnswer: -g**3*(g - 1)*(g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11.573 times 48138\nAnswer: -557101.074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -2*z**5\/9 + 5452*z**4\/9 + 10910*z**3\/9 + 5456*z**2\/9 = 0?\nAnswer: -1, 0, 2728","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-299)\/1*(-3 + 2). Let o = -29728 + 29751. Calculate the greatest common factor of o and s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 0.193593 in ascending order.\nAnswer: -5, -3, 0.193593","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -2. Let i be -3*-2*r\/(-6). Let k(b) = -b - 1. Let y(w) = -21*w - 18. Let m(h) = i*y(h) + 18*k(h). Let f(j) = -j. Calculate f(m(z)).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/226 and 6 + 272623\/(-44070) - (-2)\/12?\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (7737*(-4)\/(-24))\/(2\/4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 1668037?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 12, -484, 4, 5 in decreasing order.\nAnswer: 12, 6, 5, 4, -484","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8252197663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 37 + (0 - 0) + (-14 - -1 - (-35 + 29))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 + 7746972*i + 7746974.\nAnswer: -2*(i - 3873487)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - w - 95 = 88, -l - 5*w + 47 = 0. Calculate the remainder when l is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -276*t**3 - 28*t**2 + 24*t + 2. Let z(n) = 137*n**3 + 13*n**2 - 11*n - 1. Give 6*m(s) + 13*z(s).\nAnswer: 125*s**3 + s**2 + s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3852 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2266741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -611 - -1502. Let t = y + -873. Calculate the remainder when 53 is divided by t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 223450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.49 plus 478070534?\nAnswer: 478070526.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8335 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3 - 1 + x + 0*x - 3*x**2. Let w = -1382 - -1386. Let k be (w + 3)*2\/7. Calculate f(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51, -77, -93, -99, -95?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5*d = 60. Let f be d\/9 - (-18)\/(-81). Solve 2*z - 5*b = 13, -z - f*b = 2*b for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66896392?\nAnswer: 2, 8362049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(3\/10)*u\/(u**(-2\/5)\/u*u*u*u*u))\/((u\/(u\/(u*u**(2\/3)\/u)))\/u*u**0) assuming u is positive.\nAnswer: u**(-17\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3359100047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -106*a - 57*a - 496 + 31 + 20*a**2 + 768*a.\nAnswer: 5*(a + 31)*(4*a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7972947ms to hours.\nAnswer: 0.00000022147075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1441 + -0.8559. What is the biggest value in 4, -2\/69, j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -g**4\/4 - g**2 + 1. Let x(l) be the first derivative of -l**4 - 9*l**2\/2 - 48. What is 9*s(v) - 2*x(v)?\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 133, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 22 = 2*k, 4*k + 11 = -9. Suppose -b*q + 2*t - 4 = 0, -q + 3 = 3*t - 14. Suppose 0 = 134*n - 174 - 94. Solve q*g = -6 + n for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -18*i**3 - 1414155*i**2 - 1649793*i + 2356890 = 0.\nAnswer: -78563, -2, 5\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + d - 10585 + 1974 = 0, 3*m = 5*d + 6464. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4151239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_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: (-12)\/(-56)*102\/(-153)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 27\/5 of a microgram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94087, 188168, 282249, 376330?\nAnswer: 470411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6 + 0 + 2)\/((-2)\/(-1)). Let b be (-1 - f)\/(0 + 5\/10). Suppose -b*k = -3*k + 132. What are the prime factors of k?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 743395.\nAnswer: 2\/743395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -221024 + 0?\nAnswer: -221024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/12*3 + 2980. Calculate the common denominator of (-4)\/(-18) - u\/(-432) and -93\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15631*-348.\nAnswer: 5439588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 79*m**2 - 4598*m + 150. Give y(-39).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p**4 + 95*p**3 + 223*p**2 + 91739*p?\nAnswer: 12*p**2 + 570*p + 446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -462 - -5bb559?\nAnswer: 5bb0b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5072, 20244, 45534, 80912, 126348, 181812, 247274, 322704?\nAnswer: 408072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 19*u**2 - 22*u - 27. Let m(j) = -j**2 - 3*j + 8. Let q be m(-7). Let a be g(q). Suppose 0 = a*k - 9*k - 8. Solve k = -w + 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 169 from -0.15.\nAnswer: -169.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v - 3. Calculate t(9).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1 + -2 + 3 - -11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((0 - -1)\/(1\/(-2)))\/(-1). Is ((-672)\/64)\/(f\/(-24)) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1449, 0.0078, -7\/4?\nAnswer: -1449","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80)\/(-680) - (-42)\/(-68).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -78 + 80. Suppose -8*m = o*m - 2540. Calculate the remainder when m is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.82 times -1.28?\nAnswer: -30.4896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 153 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4004 - 4?\nAnswer: -4008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of 1\/39*l**3 - 2 - 1\/39*l**4 + 9*l - 1\/130*l**5 + 2\/13*l**2. Factor o(q).\nAnswer: -2*(q - 1)*(q + 1)*(q + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - -39. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 618 a factor of 13835166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -44392 - 3222\nAnswer: -47614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 42.712 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -274 (base 11) to base 3\nAnswer: -102222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 169 - -98. Suppose 2*l + f = 5*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and 79987?\nAnswer: 79986.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4864, 19542, 44032, 78328, 122424?\n\"Answer: -d**3 + 4912*d**2 - 51*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 36389.25t?\nAnswer: 36389250000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54853, -109814, -164775?\nAnswer: -219736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 7*r + 23. Let j(x) = 3*x + 11. Let y(m) = -9*j(m) + 4*l(m). Let f be y(6). Let t(i) = -35*i**3 - i**2 + 1. Does 12 divide t(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 528 + -258. Let h = g - 130. Suppose 4*z + h - 412 = 0. Is z a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1711970 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/3031 and -48\/21217.\nAnswer: 21217","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence in when two letters picked without replacement from {x: 2, q: 1, n: 1, i: 1, r: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c + 4*c = -24. Let v be 1\/((c - 1) + -3). Let f(q) = -q**2 + q - 1. Let y(m) = -m**2 + 4*m - 6. What is v*y(h) + 3*f(h)?\nAnswer: -2*h**2 - h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g**3 - 64*g**2 - 232*g**2 + 768*g**2 - 233*g**2 - 239*g**2.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274835 is divided by 230?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 36 = -54. Suppose 2*w = -3*w + u. What is the smallest common multiple of w and 1 - (0 + 4) - -11?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46 - 26. Let w be (-6)\/10 - (1 - 1577\/o). Let a = w - 78. Find the common denominator of -49\/22 and a.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - (174\/(-2))\/3. Let x = -6 + q. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*l**3 + 425*l**3 + 100*l**3 - 113*l**3.\nAnswer: 499*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j*j**(-12))\/j)\/(j\/((j*j**(-5\/3))\/j*j)) assuming j is positive.\nAnswer: j**(-38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3174, -4, 0.3?\nAnswer: -3174","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/17, -6, 4, 1, -0.3 in descending order.\nAnswer: 4, 1, 3\/17, -0.3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 4*q - 31, 2*q - 18 = l - 3*l. Suppose 4*z - 12 = 0, 3*m + 18 = 2*z + z. Sort 3, l, m in decreasing order.\nAnswer: l, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -109 (b) -0.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 + -4 + (-1 - -101) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 12*r**2 - 4*r**2 + r**2. Let m(n) = -n**2. Calculate p(m(w)).\nAnswer: 10*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -6, -5, -93, -3, 5 in descending order.\nAnswer: 5, 3, -3, -5, -6, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**2 + 90*w + 2*w**2 - 88*w - 82*w**3 to the form o + d*w**3 + k*w + v*w**2 and give d.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22285 divided by 2.\nAnswer: -22285\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 6:54 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 9*j - 74. Let l be p(14). Suppose -36 = l*g - 54*g. Calculate the least common multiple of g and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 1:27 PM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/9 + (-7425)\/(-81) + -70.\nAnswer: 52\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 772900, 772898, 772896, 772894, 772892?\n\"Answer: -2*x + 772902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6050 and 517550?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -14, 3, 24, 112, -1 in descending order.\nAnswer: 112, 24, 3, -1, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.53 + 14.53. Let w be (-243)\/(-3)*7\/21. Let s = w + -80\/3. What is the biggest value in z, s, -2, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 11:30 PM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 17*t**2 - t - 7. Let k be (80\/(-60))\/(((-32)\/12)\/(-4)). What is the remainder when y(k) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k + k**3 - 55*k**4 + 89*k**4 + 2*k**2 - 2*k - 4*k**2 - 67*k**4 to z*k**2 + p*k**4 + t*k + v*k**3 + j and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**2. Let j(m) = 173*m + 5. Let v(d) = -174*d - 4. Let t(f) = -4*j(f) - 5*v(f). Calculate c(t(w)).\nAnswer: 63368*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4*u - 4 = 0, 0 = 3*b - 2*u + 2. Let k(o) = -o**2 + o - 1. Let h be k(2). Let a be (-4)\/(-10) - 3 - h. Is b != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + q = 3*q - 23, 2*l + 3*q = 12. Suppose 0 = 5*z + r + 23, -z - l*r + 6*r + 1 = 0. Sort 5, -136, z in descending order.\nAnswer: 5, z, -136","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 221331 + 1112334?\nAnswer: 1334220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -5*d + 6. Let v be (-9)\/3 + (-4 - d). Sort 4, 0, v in increasing order.\nAnswer: v, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 167476 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2 - 6. Let a be (z + 4)\/(1 - (-1 - 0)). Suppose a = 7*j - 10*j + 198. What is the greatest common divisor of 6 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/17580?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*g + 20. What is the lowest common multiple of 2 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-36388)\/(-6) + 4 + -3. Let v = 205353142\/33855 - i. Let w = -1026917\/203130 + v. Find the common denominator of w and -59\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 313, -2777, -1\/2 in descending order.\nAnswer: 313, -1\/2, -2777","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8217\/66*4*21\/(-28)*(-12)\/54\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2652751, -3.\nAnswer: -5, -3, 2652751","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x + 25. Let v(d) = d**2 + 2*d - 1. Let h be v(-5). Let l be y(h). Let b be -1 - -2 - l - -3. Solve b*m + r - 7 = 4*m, -5*r = m + 7 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11891*n**2 + 11891*n**2 + 66*n**3.\nAnswer: 66*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -3. Suppose 4*v + 0 = -2*g - q, 4*g = 2*v + 26. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3311*i**4 + 8706*i**3 + i + 37400532 wrt i?\nAnswer: 13244*i**3 + 26118*i**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 9*k - 480. Determine z(69).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/3 - 2\/6*235184\/(-8) a multiple of 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 160 = 2*q, 85 = 2*h - 5*q - 0*q. Solve h = 4*x - 2*g, -2*x - g = x - 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (17 - -2) + (-4 - -2). Suppose 0 = 3*p + p - 16. Suppose 40 = p*h - 6*l + 2*l, 5*l = 2*h - s. What is the least common multiple of 3 and h?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -610.23 - -610. Sort 0.4, t, 1\/2.\nAnswer: t, 0.4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 26 + -21 - (4 - (122 - 3)). Calculate the highest common divisor of 15 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.1778202 millennia?\nAnswer: 2133.8424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 + (-1386)\/35 - -4 - (-1461)\/(-15)?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/65? (a) 0.0504 (b) -2\/9 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 129987937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of 5*b**6\/6 + 7*b**3\/3 - 5. What is the third derivative of s(j) wrt j?\nAnswer: 300*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 4. Let a = i - 4. Suppose 15 = -6*y + 3*y, 0 = 2*b + a*y - 15. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 2 - (-4 + 5 + 6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus 9566?\nAnswer: 9566.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of 15\/8*j**4 + 22 - 3\/5*j**5 + 2*j**3 - 9\/4*j**2 + 0*j. Solve g(z) = 0.\nAnswer: -1, 0, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222816 is divided by 1002?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99*-420611.\nAnswer: 41640489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -424 + 428. Let s be (-3)\/6 - (-10)\/(-4). Let v be (-11)\/6*s - (-2)\/f. Solve 2*n - v = -0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 143276646.\nAnswer: -143276638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 125\/(-2)*4\/(-5). Suppose -5*z + 4*w = -694, -3*w + 104 = -5*z + 802. Let i be (0 + 8\/(-6))*(-1065)\/z. What is the greatest common divisor of j and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 72084 to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2714059955 to three dps.\nAnswer: -0.271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*y - 135 = 0. Let v = 64 + y. What are the prime factors of v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 208*k - 202*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -2573437?\nAnswer: -1\/2573437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 99854b + -10?\nAnswer: 99853b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 41431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 26*d + 3*d**2 + d**3 - 4*d**2 - 27*d + 2. Let u = 2 - 0. Determine i(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -433*b + 85*b**2 + 433*b + (2 - 2 + 3*b)*(-2*b + b + 3*b).\nAnswer: 91*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1306719 is divided by 22527.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34694?\nAnswer: 2, 11, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-six fifths of a meter?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-315)\/30*8\/(-14). Suppose -q*l + 2*l = -140. Is l a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 812 + -2437\/3. Sort -88, 0.1, -2, u in decreasing order.\nAnswer: 0.1, u, -2, -88","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n - 13. Let q(r) = -6*r - 58. Let u be q(-9). Calculate d(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-8)*(18 - 14). Let n = -0.6 - -0.3. Let o = n + 1.3. Which is the nearest to 2\/5? (a) i (b) 5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (115\/92 - (325\/20)\/5) + 3. Let t be 2 + 0 - 56\/27. Which is smaller: t or n?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/7? (a) 0.02 (b) 4 (c) 598\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y + 22. Suppose g - 2 = 0, -4*g = -2*x - 27 - 1. Let s be f(x). Solve 5*p - 15 - s = 2*k, 4*p = 20 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 218730 and 414.\nAnswer: 656190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-6) - (-341)\/2. Let v(c) = 114*c + 25213. Let y be v(-221). What is the greatest common divisor of n and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2121101221 (base 3) to base 2\nAnswer: 1100100001111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*g - 1794 = -5594 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/1512 and 89\/654?\nAnswer: 164808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -702*t**2 + 2991*t - 675. Determine j(4).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -9*c**2 - 1137*c - 10370. What is q(-10)?\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5475731618 to the nearest integer?\nAnswer: 1763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3086 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 48 - 105 + 5*b + 57. Let w(a) = 7*a**2. Determine w(u(i)).\nAnswer: 175*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -541*z = -516*z. Which is the closest to z? (a) 1\/4 (b) 10 (c) 2\/27 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 188510\nAnswer: 3\/188510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 124 * 1.6432.\nAnswer: 203.7568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 2 = v, 13 = 161*b - 159*b - 5*v for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -38*a - 8. Let v be d(-6). Suppose -4*p + v + 616 = 0. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296 a factor of 1981128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 w when four letters picked without replacement from wsssskwskwk.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 56 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + ((-2034594)\/3213)\/122?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 482410309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 169497002 to the power of 1\/2, to the nearest integer?\nAnswer: 13019","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 16, -115, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -272.2 - -277.598. Round x to one decimal place.\nAnswer: 5.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 2:47 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -255*o - 349. List the prime factors of k(-11).\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59028.77 minutes in seconds?\nAnswer: 3541726.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1762 + -1762.4343. Let v = -0.2574 - y. Let l = -0.17 + v. Round l to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/6)\/(9\/(-9)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 8*g = -10. What is the smallest value in -1, -5, g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w + 793 - 821 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 2*y = -2, b - 5*y - 26 = 0. Let r = 22 + -14. Suppose r*g - 4*g = 12. Solve -17 = -2*z + g*k + 2*k, b = z - 5*k for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 4, -12.42, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**2 + 5*r - 8*r + 3*r.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -15, 66, -1, -4.\nAnswer: -15, -4, -1, 3, 5, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -35 in -1\/7, 3\/7, 0, 0.4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -158, -160, -164, -170, -178?\nAnswer: -188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 687*f - 1722 - 5148 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4.1 (b) 73697 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24245198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.141 - 0.1402. Let f = -0.0142 - n. Which is the second smallest value? (a) f (b) -0.3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 78*s**2 - 14*s + 1. Let p be r(-10). Suppose 5*a - p = 1759. What is a rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17787 and 32064032?\nAnswer: 96192096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/18, -0.2, 622, -26 in ascending order.\nAnswer: -26, -0.2, 1\/18, 622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 3)*(6 + c - 6 + (2 - 3 - 1)*(3 + c - 3))*(-2*c + 2 - 2)*(-2 + 2 - 18*c) to the form j*c + n*c**2 + z*c**3 + y and give z.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**2 - 2*k - 1. Calculate the lowest common multiple of 10 and b(-2).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 9*j - 9. Let s be -49 + -3 + (-35)\/(-5). Let d = s - -159. Let q = d - 104. Determine h(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 14\/8*(-14 - -18)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/64*154)\/(42\/24)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -6. Let a(o) = o**3 - 2*o**2 - 5*o + 2. What is the remainder when a(r) is divided by (16\/(-6))\/(2\/(-6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 367\nAnswer: -4\/367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/((-15)\/(-2)))\/(42\/126). Solve y = 5*m + 1, -x*m + 3 = 3*y - 5*m for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (285\/(-1425))\/((-2)\/(-10)). Sort -4, 18, u, -3 in descending order.\nAnswer: 18, u, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 23*u - 4 + 9. Let x(o) be the third derivative of -1\/12*o**4 - 1\/120*o**6 + 0 + u*o**3 - 1\/20*o**5 + 0*o - 14*o**2. Factor x(y).\nAnswer: -y*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11*5\/(-10)*(-1 - 1). Suppose 552 = 2*y - 646. Is (h - 9)\/(1200\/y - 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/5516 and -51\/1576.\nAnswer: 11032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 y when four letters picked without replacement from {x: 1, k: 9, y: 9}?\nAnswer: 108\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-405)\/(-10))\/9*1\/(57\/(-76)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 11 - (23 + 1 + 0 + 24)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**2 - 12*f - 2. Determine x(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of w**6\/180 + w**5\/18 + 7*w**4\/36 + w**3\/3 + 7*w**2. Find a such that d(a) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 456 a factor of 39728544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21046301\/23338224 + 2\/208377. What is the common denominator of -97\/168 and n?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 3*j = 5, -7*h + 5*h - 2*j - 22 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2645487919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 2028 + 573. Suppose -5*x + b = 180. Let o = x - 42. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 3 - 13 = 4*h, 4*n + 5*h = -21. Let f = n - -1. Is (-72)\/f*(-3)\/6 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3909590 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of p**8\/320 - p**7\/70 + p**6\/80 + p**5\/20 + p**4\/12 - 2*p. Let a(j) be the third derivative of u(j). What is g in a(g) = 0?\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**2 + 0*d**2 - 57*d**3 + 36*d**3 + 27*d**3.\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 878?\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*((-34)\/6 + 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1591 + 291 = -123*z - 7*z for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 5. Let j be 2\/(-21)*(7 - (11 + 2)). Let g(p) = 3*p - 49. Let h be g(18). Which is the smallest value? (a) o (b) 1\/5 (c) j (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/13 - -19\/91. Which is the second biggest value? (a) l (b) -0.3 (c) 1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**1)\/((q*q\/(q\/q**(-3)))\/q)*(((q*q**0*q)\/q)\/q)**(-39))\/((q\/q**(-2))**(-40))**29 assuming q is positive.\nAnswer: q**3485","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 q when two letters picked without replacement from maqyaktq?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4030027 is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1514, 3057, 4630, 6233, 7866?\n\"Answer: 15*m**2 + 1498*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, 5, 1\/7, 0.12, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*x = -51, -5*x = -50 + 25. Sort b, -5, 2.\nAnswer: -5, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9968 - 5?\nAnswer: -996d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 0 = -0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 15 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82010787.\nAnswer: 3, 227, 120427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 2*n + 4*n)*(6 + 0 - 1) - n - n + n.\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2828940274 to the nearest integer?\nAnswer: 53188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14364162?\nAnswer: 2, 3, 266003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -132 - -132. What is the closest to -1\/3 in -0.4, 21, y?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 122616560?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 2. Suppose 43 = 12*i + 7. Suppose -3092 = -4*x + s*b, 6*b - 2287 = -i*x + b. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t be (2*426\/(-4))\/(6\/8). Let v = t + 427. What are the prime factors of v?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (-37)\/(666\/252)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70602011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 68\/849?\nAnswer: 68\/849","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**2 - j. Let y be x(-1). Suppose 2*c = 5*w + 25, 6*w - y*w - c + 14 = 0. Let r(z) = z**3 + 3*z**2 - 2*z - 2. Give r(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 1426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l + 6444 = -0*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 148 (b) 2\/9 (c) -2 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 36?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 249 + 219 = 0. Let z = -2.98 - 0.02. Let v = 0.1829 + 0.8171. Which is the second biggest value? (a) z (b) v (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1552846277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -469388673 divided by 13\nAnswer: -36106821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 0. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -34) + (2622 - 2688).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1881334965?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from -173.8.\nAnswer: -169.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q - 49. What is z(-22)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**3 - 23*p**2 - 58*p - 23. Determine a(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.68 (b) -0.1 (c) 3 (d) 0.1 (e) -107 (f) -1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 32\/(-112) - ((-310)\/7 + -2 + 0). Solve -76 = a*t + 154 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3211301 - -1?\nAnswer: -3211300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -3894, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4285, -8577, -12869, -17161, -21453?\nAnswer: -25745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 369162 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -0*k + 20. Suppose -3*n = k*n - 2000. Suppose 5*i + 2*t - n = 0, -i = t + 4*t - 73. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 319016 and 239262.\nAnswer: 957048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4 + 560*a**3 + 66053*a**2 + 2342290*a + 8347896.\nAnswer: (a + 4)*(a + 71)**2*(a + 414)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 85712741\/5 less than 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 7:39 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 345.2723l?\nAnswer: 345272.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 388.281 - 388. Let j = -23.719 - t. What is the closest to 1 in -5, 2\/7, -1, j?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 2*w + 5095, -n + w - 3*w - 1685 = 0. Let d = -99991\/59 - n. Let s = -2756\/177 + d. Find the common denominator of s and -5\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/5)*z)**(-45)\/(z**(-5)*z**(1\/2)) assuming z is positive.\nAnswer: z**(-45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 53*q - 48 + 313 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 7 = -15. Calculate the remainder when 86 is divided by r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 750 and 714660.\nAnswer: 17866500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 25, -2*t + 3*o + 117 = 8*o. List the prime factors of t.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**(-2\/11)*u)*u\/(u\/u**(3\/2))*(u\/(u*(u*u\/u**(-3\/5))\/u))\/u*u**(2\/17))\/((u*u**1)**(-42)*(u*(u*u**(-2))\/u)**(-21)) assuming u is positive.\nAnswer: u**(114443\/1870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3710783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 571*g**3 + 7*g**2 + 675*g. Let x(t) = -285*t**3 - 3*t**2 - 338*t. Let k(b) = -3*d(b) - 7*x(b). What is the second derivative of k(y) wrt y?\nAnswer: 1692*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 7*z**2 + 14 - 7.\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - -1 - 1 - 0. Let g = -2 + x. Let s(t) = -2. Let y(k) = -k - 1. What is g*y(m) + s(m)?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45189, -47093, -48999, -50907, -52817?\nAnswer: -54729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27972 (base 11) to base 2.\nAnswer: -1001101101010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 3*z. Suppose 2*k = -z*k. Solve -2*s + 3*h = -0*s - 5, k = -5*h - 15 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 203086351?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/9 - (-8)\/(-42). Let d be (2\/(-18))\/(2\/8). Let n be 2\/6*(-3 + 2). Which is the nearest to n? (a) -3 (b) r (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000085481 to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*p = 64*p - 259 + 659 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -33\/18949 > 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 8:59 AM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 4*b**2 - 4*b - 5. Let m(p) = -5*p**2 + 6*p + 8. Let y(v) = 8*i(v) + 5*m(v). Let h = -2 - 0. List the prime factors of y(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 4*z + 2. Let q be z\/(-7) - 57\/(-21). Is 4\/q*108\/8 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*q**5\/5 - 12*q**4 + 216*q**3\/5 - 324*q**2\/5 + 162*q\/5.\nAnswer: 6*q*(q - 3)**3*(q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - 3\/(-6)*0. Let y(l) = l**3 - l**2 + l - 1. Let g be y(o). Suppose 3*u - k + 159 = 2*k, g*u = k - 281. Round u to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 - -23. Let v be c\/(-108) - (-107)\/9. Suppose 5*f - 4*f = v. Solve -4*d - 2*y = 6 + f, 4*y = 4 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jfwf when four letters picked without replacement from {s: 3, f: 4, w: 1, j: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.2 - 9. Let v = -1 - 0. Which is the third biggest value? (a) -1\/8 (b) v (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1503 - 1501. Which is the closest to 0.7? (a) 2\/3 (b) -0.3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 7 = 17. Suppose -3*k + 114 + 93 = 0. Suppose 23 = -2*b + k. Calculate the remainder when b is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of -100*(-9)\/6*(-1)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 2*p + 4 = 0, 66*h - p = 68*h - 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6 - (11 + -5))\/(-1). Sort a, 4, 6 in decreasing order.\nAnswer: 6, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/6)\/(230\/(-184))*24\/(-1720).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) - (sqrt(243)\/sqrt(9) + -1))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 188561\/20 + -9430. What is the common denominator of a and ((-3)\/(-12))\/(5\/109)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 14*r**4 + 1 + (-2*r**3 - 4*r**3 + r**3)*(8 - 8 - 4*r).\nAnswer: 34*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 281*f - 283*f - 58 = 0. Let k(v) = -3*v + 63. List the prime factors of k(f).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -0.39?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) 2\/9 (c) -1\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 38515\/4 or 9628?\nAnswer: 38515\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 5 (b) 26 (c) -2\/7 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 98*z**2 + 2416*z - 1242. Calculate f(52).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-1277)\/6385)\/(-2 + 18\/10) - (-6 - -8)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -2 (b) -105\/548 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j*l**2 + 291563*j*l*p + 35503760*j*p - 18*l**3*p wrt l.\nAnswer: 4*j*l + 291563*j*p - 54*l**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -167261*d**4 + 706*d**2 - 29*d wrt d?\nAnswer: -4014264*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23239*l = 23218*l + 31 - 157 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h + 5*h - 35*h - 5*h to the form u + l*h and give l.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2191 = 10*w + 1061. What is the remainder when 968 is divided by w?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-15))\/(2\/20). Sort 1, -1\/5, 0.6, b in ascending order.\nAnswer: -1\/5, 0.6, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (13 - 40)) + -12 + -1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -314028 at most as big as -314348?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -872\/3*c**2 + 146*c**3 + 4\/3 + 430\/3*c.\nAnswer: 2*(c - 1)**2*(219*c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -896 = 5*m - 33*m. Calculate the least common multiple of m and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -203532 (base 6) in base 16?\nAnswer: -4010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -26.3752, -3\/4, 5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/7)*q**6*q**13\/(q**(2\/3)*q) assuming q is positive.\nAnswer: q**(361\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 133123972 to the nearest integer?\nAnswer: 11538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13664 - 109311\/8. Let x be 3 - ((-2)\/(-1) - 0). Sort 0.3, x, -0.5, v.\nAnswer: -0.5, v, 0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5630 times 0.3?\nAnswer: -1689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -49916 <= -48362?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 + -6?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*d - 9*d + 3*d**2 + 3*d + 26*d + 12*d as x*d**2 + r + a*d and give a.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48 - 24. Suppose 12*v = 6*v - s. Calculate the remainder when v\/3*(-31 + 1) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*q + 5*q. Let y = -6 + 3. Which is the nearest to y? (a) 0 (b) q (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (53 - 70) + 0 + -3 + 6\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 584463 is divided by 37?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(4800))**2 + -2*(-3 + (sqrt(3) + sqrt(12)\/sqrt(4))**2).\nAnswer: 4782","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b - 26 = -70. Suppose -4*u - 760 = -5*u - 3*i, u = b*i + 725. Is 33 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 251793.\nAnswer: 3, 101, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52 + -30. What is the remainder when r is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -33*x + 30*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1373, 1335, 1297, 1259, 1221?\n\"Answer: -38*x + 1411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22423611?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1531*q**3 - 152*q**2 - q - 1533*q**3 + 152*q**2.\nAnswer: -2*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1399272 is divided by 405.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**3 + 2*u**3 - 6070*u**2 + 6070*u**2 + 298 - 1162.\nAnswer: -2*u**3 - 864","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -413*c**2\/2 + 264*c + 98. Find the first derivative of i(s) wrt s.\nAnswer: -413","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4*b + 28 = 10, 0 = 3*t - 5*b + 28. Let u = t + 7. What is the remainder when 9 is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gdv when three letters picked without replacement from udygvddeuuydveddeye.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2581005*t**5 + 6*t**3 + 17610809*t**2 wrt t?\nAnswer: -154860300*t**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(200) + ((sqrt(200) - (sqrt(200) + sqrt(200)*1)) + sqrt(200) - sqrt(200) - sqrt(200)) + sqrt(200))*1)\/(sqrt(48)\/sqrt(108)*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y + 20. Let p be j(10). Suppose 0 = -5*u + 4*f + p + 7, f - 7 = -u. Does 5 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 * 87\nAnswer: -78.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.79 - -2.97. Let p = 0.98 - o. Let m = -1\/41 + -159\/205. What is the nearest to 0.1 in p, m, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - 1 - (-94)\/23. Let s = -0.087 + 4.117. Let j = s + -0.03. Which is the nearest to -1\/4? (a) j (b) o (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4896 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 12*x - 1. Let z be q(3). Let s = z - 25. Calculate the lowest common multiple of 12\/940*47 - 21\/(-15) and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6245595 is divided by 136?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of x**3\/3 - 2*x**2 + 13*x + 71. Let q be i(5). Calculate the greatest common divisor of 126 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/3 + (-6)\/(-9). Suppose 0*r = -2*r + 8. Suppose -n + r + o = 0. Calculate the remainder when 11 is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -15. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -5) + (-6 - (5 - 372)). Suppose -8*m + 10*m - 3*a - 141 = 0, 5*m + 5*a - r = 0. Is m a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4217, 2 in increasing order.\nAnswer: -5, 2, 4217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 16*a**2 + 2*a + 12196. Is 45 a factor of b(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1120599?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11\/2 - -5. Let h = -3 + 4. Let k be 34\/30 - (h - 0). What is the smallest value in 3, i, k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36226 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*z - 5*z + 2*z + 7*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a0 (base 11) to base 4.\nAnswer: -1232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*b - 2*q, -9 = -5*b - 3*q + 11. Let u be 0\/(1 - (0 - -2)). Suppose p = -u*p + b. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/132 and -6 + 10 - 9*646\/1320.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4*b**2 - b + 1. Let r be s(1). Suppose 415 = r*y - 229. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64405 and 1726?\nAnswer: 111163030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, o: 7}. What is prob of sequence gg?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29451434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19546185*k**3 + 778293166 wrt k.\nAnswer: 58638555*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47892 a multiple of 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/4 - 8\/(-32). Suppose q = l - 2*l. Is 29*(l + 17 - 4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 less than -699.5239864?\nAnswer: -699.4639864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -79081*w**2 - 2*w + 9622.\nAnswer: -158162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -m**3\/9 - 704*m**2\/9 - 41168*m\/3 = 0?\nAnswer: -372, -332, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 670626*r - 2682454. What is u(4)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 393133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 16*a - 11. Let v be g(15). Let n be (-36)\/(-27)*6\/v. Let q(w) = -4*w + 7*w**n + 6*w**2 - 10*w**2. Calculate q(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-37)\/n*n*(n\/(n**2\/n)*n)\/n assuming n is positive.\nAnswer: n**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = -2*b + 161. What is the second derivative of 29*v**b - 1 - 1 + 3 + 9*v + 1 wrt v?\nAnswer: 348*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264310 is divided by 72?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 46172456?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 5, -22 in increasing order.\nAnswer: -22, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(13) + 2*(5 + sqrt(13)) + sqrt(1300) + -3 + 1 + -4 + -1))**2.\nAnswer: 312*sqrt(13) + 8824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 6791.56906 to the nearest 10.\nAnswer: 6790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 * -0.1\nAnswer: 0.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -179.55 in -0.1, 2, -0.4, 0.366?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + (-2)\/2)*94\/4. Let y = 74 + h. Find the second derivative of -28*f**4 + f + 0*f + 0*f + y*f**4 wrt f.\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 347 - 354.2. Let s = -8.2 - w. Which is the closest to -0.1? (a) 5 (b) 2\/17 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23650009 by 2669.\nAnswer: -8861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {w: 2, i: 1, r: 1, j: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 139044849 divided by -5689\nAnswer: -24441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 174485440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 9, z: 1, d: 2, g: 1, h: 6}. What is prob of picking 1 g and 2 h?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -61 - -185\/3. Sort -5, -0.5, d in ascending order.\nAnswer: -5, -0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26409, 53128, 80181, 107562, 135265?\nAnswer: 163284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.475553nm to meters.\nAnswer: 0.000000000475553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 4*y**5 - 52*y**4 + 205*y**3 - 280*y**2 + 151*y - 28 = 0.\nAnswer: 1\/2, 1, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 250562?\nAnswer: 2, 13, 23, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -3736 + 11356. Suppose x - 440 - 31 = -t, -3*t - q = -4*x. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -13, -18740, 0.07.\nAnswer: -18740, -13, -4, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) 2\/17 (c) 0 (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.1 - -3. Let p be -3 + 4 + 1 - 2. Suppose p = -2*q - j - 4, -4*q + 5*j = 9 - 29. Which is the closest to 0? (a) 3 (b) q (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-12))\/o*(o\/o**(-15))\/o*o**16*o\/o**0 assuming o is positive.\nAnswer: o**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -50764.47 and -2.\nAnswer: 101528.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -128.5725 - 0.3.\nAnswer: -128.8725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -59a78?\nAnswer: 59a79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1936*y**3 + 26 - 10 + 1843*y**3 - 16.\nAnswer: 3779*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*l - 89*l - 96*l - 94*l + 479*l - 101*l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - g - 19 = 0, 0 = 5*g - 8 - 7. Let d = v - -17. Calculate the remainder when d is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -110 + 109.5. Let q = 1.3 + -3.3. What is the nearest to 3 in 0.5, m, q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 330093950 and 145?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 1 + 4 + -1 - -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, t: 1, r: 6, u: 2, a: 3}. What is prob of sequence aut?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*h**2 + 2*h**2 - h**2)*(-3*h**2 + 2*h**2 + 2*h**2) + 2*h**4 - 2*h**4 - h**4 + 4*h**4 + 0*h**4 + 13*h**4)*(28 + 3 - 3).\nAnswer: 420*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 3:36 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*k + 3423 - 13*k - 7*k + 56*k - 17*k.\nAnswer: k + 3423","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1576 times 9\nAnswer: -14184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 194\/(-22) + (-48)\/264. Which is greater: -1\/81 or v?\nAnswer: -1\/81","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 t when two letters picked without replacement from {t: 1, a: 3, p: 4, k: 2}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/65318 and 47\/14174006.\nAnswer: 14174006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 19 - ((37 - 19) + 18)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m - o + 27, m + 90635*o = 90630*o - 21 for m.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3 + 4*(-1 + sqrt(1377) + -3 - (3*sqrt(1377)*2 + sqrt(1377)))**2.\nAnswer: 1728*sqrt(17) + 198357","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 121311*b**2*t - 2*b**2 - b - 1186269*t - 1 wrt b.\nAnswer: 242622*b*t - 4*b - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 49*p + 6. Let w(i) = 146*i + 17. Calculate 17*h(f) - 6*w(f).\nAnswer: -43*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 5, -3, 42.\nAnswer: -3, 5, 14, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2.984 * -21\nAnswer: -62.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - l - 5 = 0, 2*l - 17 = -18*s + 15*s. Suppose -a + 110 = s*k, -40 - 75 = -3*k + 4*a. What is the highest common factor of k and 851?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99088049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/25*1*45\/54.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -463a635?\nAnswer: -463a634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 133?\nAnswer: -1\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -17*h - 105. Let o be i(-10). What is the third derivative of -34*p**3 - 28*p**3 + o*p**3 - 64*p**2 wrt p?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11356\/39697 - 2\/5671. What is the nearest to -2 in w, 0, -1\/5, -5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-11)\/(-1))\/((-2)\/(-8)). Suppose 5*b + q - 9 = 0, 6 = -b + 3*b - 2*q. Suppose b*i = -4*w + 4*i + j, -4*i - 28 = -2*w. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/8 in 1\/330, -2\/11, -5, -1\/9, 0?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/5585050 and -27\/10.\nAnswer: 5585050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**2 + 8*i**3 - i - 14*i**3 + 3*i**3 - 224*i**4 + 172*i**4 to n + d*i**4 + v*i**2 + x*i**3 + l*i and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -5*d**2 - 10*d + 17. Let p be t(7). Let s = p - -507. List the prime factors of s.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 4*i**2 + i. Let g(q) = q**2 - q. What is -a(z) + 4*g(z)?\nAnswer: z**3 - 5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -58*(-4 + 8)\/8. Let c = 24 + b. Let h be -1*c\/(-15)*0. Which is smaller: 1\/11 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*a + 8*a - 14 - 20*a to the form c + x*a and give c.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 311373 + 377810. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 0*v - 30575 = -6*v. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -64 + 64. What is the fourth smallest value in 0.5, -0.5, c, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/7 + n**2\/7 - 8*n\/7 - 12\/7.\nAnswer: (n - 3)*(n + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of -i**8\/672 + i**7\/84 - i**5\/6 + i**4\/3 + 827*i**2. Determine m so that a(m) = 0.\nAnswer: -2, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*((o**37*o)\/o)\/o)\/o)**(-42)*o**(10\/9)*o**(2\/29)*o assuming o is positive.\nAnswer: o**(-394063\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, u: 7, y: 1, h: 1, w: 1, e: 4}. What is prob of sequence uh?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.576 + 0.076. What is the closest to -0.1 in 3, -3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of x**4\/4 + 14*x**3\/3 + 9*x**2\/2 + 21*x + 18. Let a be u(-16). Let p = 1474 + a. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -44 + da9?\nAnswer: d65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59778962 is divided by 206.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6*(-60)\/252)\/(1\/7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-3) + 2\/(-6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -539698+-139852\nAnswer: -679550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/8*-2)\/((3\/7)\/((-25856)\/5656))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -1\/60*a**5 + 0 + 0*a + 1\/120*a**6 + 0*a**4 + 0*a**3 - 3*a**2. What is the third derivative of l(c) wrt c?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 194\/89871 or 0?\nAnswer: 194\/89871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -4, -n = 5*s - 26 + 5. Let t be (52\/(-28) + 1)*(-7)\/4. Let v = -49718 + 49726. Sort v, t, s in descending order.\nAnswer: v, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*q - 40220 + 14467. Let a = -8879 - q. What is a rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 256 or 286?\nAnswer: 256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of a**4\/6 - 89*a**2\/2 + 2*a + 8. Let g(m) = 1. Let c(o) = o + 5. Let p(q) = -2*c(q) + 10*g(q). Calculate i(p(v)).\nAnswer: 8*v**2 - 89","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*q + 52*q + 4378 = 0. What are the prime factors of q?\nAnswer: 11, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (6 - -23) - -26.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -230 (b) -7 (c) 0.2 (d) 5874\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)*5*-3 + -1*(sqrt(133)*-2 - sqrt(133) - sqrt(133)))\/((sqrt(42) + sqrt(168) - sqrt(42))\/sqrt(6) + (2*sqrt(14))\/sqrt(2)).\nAnswer: -11*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/2 + 11\/(-2). Let p = g - -56. What is the remainder when 19 is divided by 3*1*p\/15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -456 divided by -3\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((50\/(-4))\/((-1280)\/(-1600)))\/((-10)\/24)?\nAnswer: 75\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 7*m**2 + 5*m - 4. Let x be (4\/30)\/(-1) + (-124)\/(-30). Suppose -s - x - 2 = 0. Calculate d(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q. Let j(n) be the first derivative of 171 + 13\/2*n**2 + 0*n. Calculate -5*d(r) + j(r).\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/8 and ((-202)\/(-30))\/(-21 - 1562\/(-66)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, a: 2, u: 2}. Give prob of sequence auua.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1302607 to the nearest integer?\nAnswer: 1141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 102292.9 rounded to the nearest one thousand?\nAnswer: 102000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 17*k**4 - 4*k**2 + 604*k - 5. Let t(q) = -17*q**4 + q**2 - 604*q + 7. Let j(n) = 2*t(n) + 3*y(n). Find the second derivative of j(l) wrt l.\nAnswer: 204*l**2 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/30)\/((-20)\/3600*12)*12\/(-10).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 340700 rounded to the nearest 10000?\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 156, 171, 200, 249, 324, 431, 576?\n\"Answer: s**3 + s**2 + 5*s + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-186)*3*(-44)\/(-726) + 22\/(-363)\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 489679 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**3 + 5*z + 5. What is the remainder when 173 is divided by f(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -14. Suppose -n*a - 70 + 14 = 0. What are the prime factors of (-6)\/(-21) - 472\/a?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 145589, 295342, 445083, 594806, 744505, 894174, 1043807, 1193398?\n\"Answer: -n**3 + 149760*n - 4170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.709 + -205.231. What is b rounded to the nearest ten?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -1505*a**2 - 21*a + 33. Let u(y) = 6*y - 8. What is -t(w) - 4*u(w)?\nAnswer: 1505*w**2 - 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a - 590 = 141591. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4814\/(-4)*(8 + -10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**3 - 71 - 2*m**2 - 1275 + 7*m**3 + 73.\nAnswer: 3*m**3 - 2*m**2 - 1273","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -165 - -666. Let p = b - 404. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 - 757*l - 3044.\nAnswer: (l - 761)*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11 + -26 - (-8 + -2). Let s(w) = 11*w - 8. Let q(a) = 5*a - 4. Calculate m*q(z) + 2*s(z).\nAnswer: -3*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1*(sqrt(325) + 1 + 3 + 0)**2*-1 + 1).\nAnswer: 80*sqrt(13) + 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -58.3 + 58.300074. What is d rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 2*j. Let w be m(0). Suppose w = x - 23 + 24. Let i be (-1)\/(236\/240 + x). What is the highest common divisor of 150 and i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a gram in micrograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 7*v**3 + 8*v - 8. Let c(i) = -11*i**3 - i + 2*i - 4 + 12*i**3 + 3. What is -40*c(x) + 5*o(x)?\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 46 + 146. Let p = 16 - 10. Calculate the highest common divisor of p and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 28*w**2 - w. Let n(d) = d**3 + 84*d**2 - 3*d. Calculate 2*n(o) - 7*y(o).\nAnswer: 2*o**3 - 28*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - 37. Let q be (-3)\/((3\/p)\/(-1)). Let o = q - -49. Is o a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21.505 - -0.105. Let f = r + 22. Let n = f - -1.4. What is the second smallest value in 0.5, -1, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 4*h + 16, -h = -i + 2*i + 5. Let k = i - -6. Is -4 at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 216 and 3384?\nAnswer: 10152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1641627258?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -44 - 42 - 14*t**2 + 86. Let w(u) = -2*u. Determine w(j(m)).\nAnswer: 28*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3885867 - 20123100 = -r. Let a = r - 7137233. What is a rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13 + 254*o + 26 - 11)*(-2 + 2*o**2 + 2) + 3*o - 5*o**3 - 3*o as w*o + j + b*o**3 + f*o**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*k = -108*k - 5922. What is the greatest common divisor of k and 376?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(7\/4)*((-135)\/450)\/((-3)\/175)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15125932 by -4.\nAnswer: 3781483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6733900 by 5.\nAnswer: 1346780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 30*z**3 - 1767*z**2 - 70*z - 6280. Give f(59).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18438285953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 27518 equal to 0.57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 555*o*s**3 + o*s**2 - 157*s**2 wrt s.\nAnswer: 3330*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19734660761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 32*c**2 - 79*c + 758. What is m(34)?\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -888, -819, -714, -573, -396, -183?\n\"Answer: 18*a**2 + 15*a - 921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 32*v + 47. What is c(-3)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/289975 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1276699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6116015 is divided by 91.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence exxx when four letters picked without replacement from {x: 3, e: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 12, p: 7}. Give prob of picking 2 p and 1 c.\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttu when three letters picked without replacement from {a: 1, t: 2, x: 2, u: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17922 + -17922.32211. What is b rounded to 2 decimal places?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181489859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (x**4 - 3*x**4 + 4*x**4)*(-4 + 2 + 8)*(-3 - 4 + 3) as f + r*x + t*x**2 + j*x**4 + k*x**3 and give j.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 7. Let h(u) be the third derivative of -u**4\/24 + u**3\/6 + 4*u**2 + 41*u. Give 5*h(b) - k(b).\nAnswer: -5*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 35 = -5*w. Let a = w + -8. Let k(n) = -n**3 + 2*n**2 + 3*n. Let j be k(3). Is j <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6f95 (base 16) in base 8?\nAnswer: -67625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1797 is divided by 897.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 3*a = 4293, 4*o + 2*a - 5703 = -a. Suppose -9*y + 5*y = 5*j - o, 5*j - 1452 = 4*y. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 10?\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 939*u - 1 - 459*u - 461*u as o*u + i and give o.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40.37 - -40.38795. What is q rounded to three decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lalalaq. Give prob of picking 2 l and 1 q.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -4767 + 1260. Suppose -2*m + z = -m + 3*r, -5*m + 5*r = -2465. List the prime factors of m.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-187 + 70)*5*-1. What is the greatest common factor of 39 and c?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20657803868241 + 20657811968100.1999945. Let f = 8099857 - j. Let d = 2.2 + f. Round d to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -14 (b) -0.3 (c) -1.2 (d) -1\/3 (e) 16 (f) -6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n. Let w(o) = 20*o**2 + 13*o. Let v(f) = 9*f**2 + 6*f. Let x(h) = -13*v(h) + 6*w(h). Determine p(x(k)).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 9\/17, 2\/17, -6\/6061?\nAnswer: -6\/6061","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278*v = 277*v + 5*d + 4, 4*v = -4*d - 32 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + 346107?\nAnswer: 346107.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.2 and -238\/13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-12))\/(8 + 186\/(-24)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1536)*1*5)\/((5*(sqrt(72) - (-3*sqrt(72) + sqrt(72))))\/sqrt(9)).\nAnswer: 8*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**(-2)))**(-3\/8))**(2\/27) assuming d is positive.\nAnswer: d**(-1\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a factor of 106119680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 7*r**6\/6 - r**2 - 9. Find the second derivative of m(s) wrt s.\nAnswer: 140*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136193471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + 1)**2 - (2*sqrt(5)*-6)**2 - ((sqrt(60)\/(2*sqrt(12)))**2 - ((sqrt(245)*1)**2 + sqrt(245))).\nAnswer: -1181\/4 + 19*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61 = -83*g + 1573 + 480 for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 less than -5607?\nAnswer: -5505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2093?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2a1 (base 15) to base 12\nAnswer: -421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56 and 37702?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 66945 - -7\nAnswer: 66952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 4*c**2 + 4*c - 5. Suppose 12 = -20*q + 26*q. Suppose 0 = -q*k + 1 + 13. What is the remainder when z(4) is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25) - sqrt(100)\/(sqrt(12)\/sqrt(3)))\/(sqrt(5) + (sqrt(125) - (sqrt(125) - sqrt(125)*2 - sqrt(125))))*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + l**2 + 2. Let f be g(2). Let u = 1345 + -1320. What is the remainder when 1 - (0 - f)*-49 is divided by u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 1, 429?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 57, 0, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-596)\/(-16))\/(16\/1024)?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 387*t - 99837. Give w(258).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 10.9. Which is greater: n or 1.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/8821241 and -113\/572?\nAnswer: 35284964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -3*z**3\/7 - 30*z**2\/7 + 12*z\/7 + 120\/7 = 0.\nAnswer: -10, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -k - 2*d - 2*d, k + 20 = 5*d. Solve 11 - k = 3*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -4.1, 1\/2, -1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 39977 and 0.121525?\nAnswer: 39976.878475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 16*a**2 + 1. Let q(d) = -15*d**2 + 24*d + 24. Let n(u) = -u**2 + 4*u + 4. Let t(f) = 6*n(f) - q(f). Calculate c(t(k)).\nAnswer: 1296*k**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/520 and -105\/52.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -751791 + 494201. Let q = a - 102410. Round q to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + (22 - 11) - 18 - -6) + (46 - -3)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) 0.4 (c) -2\/13 (d) 1\/4 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3249 and 95?\nAnswer: 16245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 410 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + y**2 + 4*y + 4. Let h be l(0). Suppose -h*w - 31656 + 4856 = 0. What is w rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 4*p**2 + 7*p - 4. Determine y(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 8*h + 39. What is t(-2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -575.8587047 to 1 dp.\nAnswer: -575.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 1533?\nAnswer: -1535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 112 = -8*z. Let q be (((-9)\/(-6))\/(-3))\/(18\/z). Which is smaller: -31.4 or q?\nAnswer: -31.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/345)\/(6\/108*-15).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -29*u + 2871. Let n(m) = 33. Let h(k) = -87*n(k) + y(k). Let t(f) = 869*f. Give -121*h(a) - 4*t(a).\nAnswer: 33*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 8*x - 1. Let u(k) = -k. Suppose -q + 3 = 2*q. Let s(j) = q*n(j) + 6*u(j). Let v be s(2). Sort -6, 2\/3, v in increasing order.\nAnswer: -6, 2\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a + 11*a = -8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hqwhhdd.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 392401390, 392401393, 392401398, 392401405?\nAnswer: 392401414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 62*v**2 - 2*v + 1. Let t be j(2). Calculate the highest common divisor of t and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(5\/6*6\/(-15)). Let g be 52\/(-48)*h - (-6)\/8. Solve 0 = -2*z + 6*z + o - 15, -g*z - 2*o + 14 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (37 + 22120\/(-595))*-68.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-21))**(2\/69) assuming f is positive.\nAnswer: f**(-14\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/4105530 and 28\/1926441.\nAnswer: 250437330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, r: 4, q: 2}. Give prob of sequence ror.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -55 - -63. Let s be 2\/9 + (-25)\/(-9). Solve l - q = -3*p, -s*p + 14 = p - 2*l for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 2*i**2 + 4*i. Suppose -r + 6 = 3*r + m, -4*r = 4*m. Suppose -r*p - 2 = 4. What is l(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120941647.\nAnswer: 491, 246317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 17*d**2 - 17*d - 22. Let b be n(-16). Is (-9 - b)*68\/(-6) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33960 and 82400?\nAnswer: 69957600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, v: 1, s: 1, a: 7, d: 1}. What is prob of sequence es?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 141 + -139. Let v = 24 - 19. What is the closest to 2\/3 in v, -0.01, n?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/7 (b) -334 (c) 1\/323 (d) -13 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -29667 in 2, 5, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1056*(-8)\/((-160)\/30)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2232 and 4464?\nAnswer: 4464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.035 + 4.565. Let t = c + -5. Let o = t + 0.18. What is o rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-5*(sqrt(110) - -2*sqrt(110)) + sqrt(110))\/(sqrt(10) - -1*sqrt(90)) - (sqrt(704)*-1*-2 + 1)**2).\nAnswer: -2812 - 71*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + a + 1. Let q be r(-2). Let x(u) = 2*u - 35. Let i be x(15). Put q, -4, 2, i in increasing order.\nAnswer: i, -4, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 19 = -4*b, 20 = 2*t + 4*b. Let q(i) = i**2 - 5*i + 4. Let z be q(5). Let h = -6 + 10. Solve -t*o - z = -h*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -13*z - 2. Let s be m(-2). Let t be (1 + s)*2\/(-2). Is (-2)\/(-10) + (-3 - 46245\/t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-9)*33\/(-286)*-65*(-264)\/20?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 5*j - 1. Let d be r(-1). Let y be (-22)\/(-6) - 2\/d. Suppose 0 = y*a - 24 - 4. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1039.1491 + -1114.101. Let p = v - -74.9. Round p to three decimal places.\nAnswer: -0.052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -81 + 225. Is 12 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 19 - 2*1\/(-2). Suppose -5*q - v = -3*x - x, -2*q = -4*x + 8. Solve -4*l = 4*o + o + 3, l + 2 = x for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-3))\/(63\/162)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1057)\/(-44) - 2\/(-8). Let j = -1275\/77 + r. Let h = 38\/7 - 325\/56. Find the common denominator of j and h.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of 4*z**3\/15 + 67*z**2\/5 + 26*z + 827. Factor c(v).\nAnswer: 2*(v + 1)*(2*v + 65)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-37)\/(74\/(-8))*10\/(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75323*x**3 - 37712*x**3 - 37681*x**3.\nAnswer: -70*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/l**(2\/7)*l*l*l)**8)**(-46)*(l**(-4\/5)\/l**(-5\/3))**(-1\/14) assuming l is positive.\nAnswer: l**(-364333\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45 + -21. Is k a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**5\/11 - 1186*c**4\/11 + 4710*c**3\/11 + 1186*c**2\/11 - 4712*c\/11 = 0. Calculate c.\nAnswer: -1, 0, 1, 4, 589","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + z + 4 + (-3 + 3 + 2)*(-42 + 10*z + 42).\nAnswer: 21*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = -0*d - 11*d. Suppose 2*i + 5*s = -5, d*s = 4*i + 4*s - 35. Solve -r - r - 5 = -3*x, -5*x - 25 = i*r for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*w**3 - 1444*w**2 + 43842*w.\nAnswer: -60*w - 2888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -230\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1483765 and 8.\nAnswer: 11870120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n - 7540 = 4*n - 44*n. What is the highest common divisor of 580 and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 4 = 2*n + 16, -2*n - 2*k + 2 = 0. Let s be (n - -3)\/(-2) - -3. Differentiate -16*w**2 + 4 + 0 + 15*w**s with respect to w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-7392)*77 - 39\/(-56).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gogoogegossoggopceg. What is prob of picking 1 p, 1 s, 1 e, and 1 o?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9619018 is divided by 1333?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*p**5 - 3*p**4 - p - 338 wrt p.\nAnswer: -420*p**3 - 36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4507*w**2 + 195*w - 4513*w**2 - 276*w.\nAnswer: -6*w**2 - 81*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 58098 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 161, -3, 3, 27 in descending order.\nAnswer: 161, 27, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o**4 - 21 + 19 - 4*o**3 + 2*o**3 in the form x*o**3 + y*o**4 + v*o**2 + l + h*o and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 6*k**2 + 5*k - 7. Let m = -19 - -11. Let u = m + 10. Suppose -2*o = -5*a + 23 - u, -3*a - 4*o = -23. What is c(a)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i + i - i + (-2*i + 1 - 1)*(-35 + 29 - 218) in the form j + t*i and give t.\nAnswer: 445","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 16. Let i = -6724 + 40451\/6. Find the common denominator of 2\/36 - h\/(-18)*3 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -9*v + 94. Let c(j) = 19*j - 188. Let s(n) = 3*c(n) + 7*r(n). Let i be s(15). Calculate the greatest common divisor of i and 64.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (194 - 15 - 51)*(-1 + 1 - 2)*(f + 3 - 3).\nAnswer: -256*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/(-2) + 1\/2. Let a(t) = 247*t + 292*t - 2 - 543*t. Give a(w).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k - 2*m + 32, k - 3761*m + 3765*m = 14 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -26? (a) -4.4 (b) 3\/2 (c) -2\/4867\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -1.41\nAnswer: -5.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 4*i - 1. Suppose 20 = f - 6*f. Give w(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o = -10*o + 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 3*q + 15 = -16, -5*t - 3*q = 38. Let n = t - -26. Let p = 121 + 31. What is the highest common divisor of n and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 0.5. Let s be (1 + 10\/(-4))*(-16)\/(-3). What is the second smallest value in -5, s, t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**3\/3 + 84500*r**2\/3 + 35452043*r\/3 + 1236434386 = 0.\nAnswer: -209, 84918","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.4 + -5.5. Sort 2\/11, 22, -3, u in decreasing order.\nAnswer: 22, 2\/11, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, m: 4, g: 1, t: 8}. Give prob of sequence tmhh.\nAnswer: 8\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4*h**2 - 6*h - 12. Determine j(-4).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 - 30. Let z = -3.848 - x. Round z to two decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88\/5 of a litre in millilitres?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1402 - -120401143?\nAnswer: 120344241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 13732, 14683, 15634, 16585, 17536?\n\"Answer: 951*u + 12781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g - 39. Let l(r) be the third derivative of -r**4\/24 + 47*r**2 - 25*r. What is l(k(a))?\nAnswer: -a + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14625888223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (17*1\/3)\/(1*-1) and -13\/7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34574975429 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -14 + -686?\nAnswer: -69a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 15\/4 of a millennium?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3058127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1701)*-2)\/sqrt(7) + ((sqrt(12))**2 - sqrt(3))*-1 + 0.\nAnswer: -17*sqrt(3) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4640548 millennia to centuries.\nAnswer: 4.640548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -0.2, 232?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -88, -2, 59?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -23 in 4\/19, -0.32, -0.2?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1795\/4 - -432. Let i = -95\/16 - -1427\/80. Calculate the common denominator of i and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/3*(0 - (-9)\/(-12))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6 + 0)*3\/(-2). Suppose -r + 0 - 8 = 0. Let j = r + d. Calculate the least common multiple of j and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 270480 and 7672.\nAnswer: 37055760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 40845121, 81690244, 122535367, 163380490?\n\"Answer: 40845123*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(-5 - 2 + 4)*(-25 + 25 + 29*t**2).\nAnswer: -174*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001332 to seven dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-22*(-23)\/(-5313))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 121 + -144 + (3 - -2) + 1.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - l**2 - 3*l. Let g(c) = -5*c**3 + 1097*c**2 - 150141*c + 149058. Let s(d) = 2*g(d) + 6*r(d). Factor s(a).\nAnswer: -4*(a - 273)**2*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -8.45. Let d = -271.48 - -272.48. Which is smaller: d or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4694?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 7*z + 7. Let l be b(-8). Calculate the remainder when 28 is divided by (l\/(-2))\/(15\/(-20)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -50262.\nAnswer: 25131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 6*a**2 - 3*a. Determine h(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**3\/5 + 111818*n**2 - 6150184*n\/5 + 13418688\/5 = 0.\nAnswer: -279556, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of 28*i + 131\/12*i**4 - 5\/2*i**2 + 0 - 7\/6*i**3. Is o(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/((-1)\/((-4)\/40)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(168)*-2)\/sqrt(6))\/(sqrt(576) - sqrt(36)))**2.\nAnswer: 448\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 3, -1327, -4 in ascending order.\nAnswer: -1327, -4, 3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*((-4165)\/(-175) + -24).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14139 + 3026. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l + 18*l - 10 = 0. Solve 3*i + 3*b + 8 = -b, 0 = -l*i + 4*b + 40 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1317*f**2 - 1321*f**2 - 1313*f**2 + 3953*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 20*p + 17 - 57*p + 11*p**2 + p**3 + 26*p. Let o be n(-12). Suppose -3*v + 0*v - 50 = -2*g, -o*v = 5*g - 125. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-111)\/(-45) + -3)*6\/(-4).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -3 (b) 1\/9 (c) -0.0013\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 + -87 - (2 - (0 + 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8197 + -79.6003. Let z = n + 82. What is z rounded to 1 dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmq when three letters picked without replacement from qqqmcqqqmqqcqqqmqc.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110734 + -0.7.\nAnswer: 110733.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5 = 7. Let y = 6 + -2. What is the lowest common multiple of y and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - -0.1068.\nAnswer: 0.6068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 44 + -5531143?\nAnswer: -5531055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4644, 4593, 4506, 4365, 4152?\n\"Answer: -3*s**3 - 30*s + 4677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011001011001011100011110 - 1100?\nAnswer: 100011001011001011100010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 817479 is divided by 478?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -1 - (11 + 37 + -53)) + 9?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of r**7\/1260 + 13*r**6\/180 + 19*r**5\/24 + 23*r**4\/8 - 3442*r**2. Factor h(t).\nAnswer: t*(t + 3)**2*(t + 46)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 4. Suppose 0 = j*o - 6*o. Suppose 3*s + o*s - 171 = -5*g, 2*g - 60 = -4*s. Is 18 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.06 - 7.06. Let u = -7.6 - q. Let i = u - -0.600031. Round i to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -156, 4, -181, 1\/4, -8\/113 in descending order.\nAnswer: 4, 1\/4, -8\/113, -156, -181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 6*p**2 + 7*p. Let v be b(-4). Suppose -s = -0*s + v. Sort 5, 3, s, -1.\nAnswer: s, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 7*f + 4*a + 60 = 0, -a = -f + 13. Let v be 2*(-4 - -3) + f*234. Suppose t + 5 = -0*t, 5*y = -5*t + v. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1693, 1641, 1527, 1321, 993, 513, -149?\nAnswer: -1023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*v - 11*v - 2*v - 2414 = 18*v for v.\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 154343 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-7))\/(348\/5684)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.606 times 2.03?\nAnswer: -1.23018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 - 221922*h**2 + 1109553*h - 1331442.\nAnswer: 3*(h - 73969)*(h - 3)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, w: 12}. What is prob of sequence aw?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, w: 3}. What is prob of picking 2 w and 1 e?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -29, -60, -101?\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 17211352688 to the nearest 100000.\nAnswer: 17211400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 6. Suppose 34*n - 41*n + 21 = 0. Suppose -4*d + 5 + n = -4*y, 0 = -2*y - 6. Which is the second biggest value? (a) 1 (b) d (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 12*j**2 + j - 240. What is the units digit of q(26)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: -2124001 (base 7) to base 11\nAnswer: -167060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -5*d + 3. Suppose 0 = 2*y + d - 3. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + b. Let i(l) = -2*l + 18*l**3 - 6*l - 10*l**3. Let r(y) = 3*i(y) + 21*n(y). Factor r(d).\nAnswer: 3*d*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3*o + 0*o - o)*(3*o - o - 4*o) + 0*o - o**2 + 0*o - o**2 + 6*o**2 - 8*o**2)*(2*o - 2 + 2) as n*o + h*o**2 + p + r*o**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -5 - f + 5. Let i(h) = 5462 - 5462 - 2*h. Calculate i(x(g)).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -4.76, 2\/15, -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3735 and 303885.\nAnswer: 25222455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + 5*sqrt(208) - sqrt(208))**2.\nAnswer: -960*sqrt(13) + 20118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 3:28 AM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -154.79 - -154.69. Put 1, 0.3, 0.4, g, 0.21 in ascending order.\nAnswer: g, 0.21, 0.3, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 7 - (2 + 2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 + -30)\/(-1) + -3. Suppose h = -2*w + 6*w. Does 4 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 i when four letters picked without replacement from sisssdsissnsikddnn?\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-77)\/21 + (-4)\/(-2) + 2\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/3*(-2480)\/(-1395)*3\/4?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhhheehhhhhehhehh. Give prob of sequence eeh.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 0.01 (b) 28\/11 (c) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 3*(-3)\/(-36))\/((-13)\/(-52)). Solve 3*k + j*f = 6*f + 8, 10 = 5*k - 5*f for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15851055 to the nearest integer?\nAnswer: 3981","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**2 + 5*v + 17. Does 15 divide x(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 - 12) + (-2 - -6) - (4 - 1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**3*s*t**2 + 363*k**3*s - 250*k**3 - k**2*s*t**2 - 974*k**2*t**2 - 1109*s + 2*t**2 wrt k?\nAnswer: 6*s*t**2 + 2178*s - 1500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -z**3\/3 + 2*z**2 - 3*z + 9. Suppose 16*r = 8*r + 520. Suppose r = -4*p + 85. Calculate b(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddd. Give prob of sequence dd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-13)\/(-4) + 18\/(-72). Let r(i) be the second derivative of 3*i**3\/2 - 5*i**2\/2 + 2*i. What is the least common multiple of r(f) and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*a = 180*a - 404 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155 + 0*g**2 - g**2 + 155.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 5*y - 43023, 3*u = -2*y + 109400 + 19669. What is the ten thousands digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 660*o - 42008. Determine n(68).\nAnswer: 2872","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -60 - 11*y**3 + 60 - 2*y**2 + 6*y as n*y**2 + l*y + g*y**3 + h and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 5*b**2 + 2. Let u(g) = -6*g**2 - 2. Suppose 22 = 3*d + 7. Determine d*s(h) + 4*u(h).\nAnswer: h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.5 in 7682, -2\/9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -36 + 1c3682?\nAnswer: 1c3649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -15*2*244\/(-24). Let d = s - 142. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12*28\/(-35)*-5 and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3734?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2039 = -22*u - 10215. Let w = -555 - u. Solve -3 = -w*s + t, -2*s - 4*t - 12 = -6*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8 - 5)\/(33\/42 + -1). Let s = o - -34. Solve 4*j + s + 0 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-6)*((-132)\/(-2))\/(-11). Which is smaller: i or -80?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -64 - (-3 + -16) - (-6 + -1)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*m - 240*m + 23385 = 1232*m for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f**4 - 2*f**4 + 0*f**4 + (9*f + 7*f - 3*f)*(-2*f**2 + 2*f**2 - f**3) to the form h*f**3 + w*f**4 + m + y*f + q*f**2 and give w.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 29731389 to the power of 1\/3, to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a millennium in months?\nAnswer: 50400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 796109, 1592219, 2388329, 3184439, 3980549, 4776659?\n\"Answer: 796110*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 33*g - 4*g**2 - 47*g + 0*g**2 + 15. Let f(a) = a**2 + 1. Let b(l) = 5*f(l) + n(l). What is the units digit of b(17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*p**2 + 0*p**2 + 2 + p**3 - p**2 to the form b*p**2 + j*p + v + m*p**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5220 and 207.\nAnswer: 120060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d**2 - 121*d + 635. Determine z(5).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-48)\/22 - (-2 - 0). Suppose -3*h = -3*u - 3, 5*h + 0*h - 21 = u. Let a be h\/(-75) + 1\/(-3). What is the nearest to -1 in b, 1\/3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f*f**(-17))**10\/(f**(2\/21)*f**(-3)))**(-3\/44) assuming f is positive.\nAnswer: f**(2879\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000507 to 7 decimal places.\nAnswer: 0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 45*d + 105 - 106 - 45*d + 2*d**2 + 300*d**3 in the form x*d**2 + o + u*d**3 + b*d and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 5:29 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (0 - 7) - (-4 - (12 - 5))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 435\/658?\nAnswer: 435\/658","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1))**(-1\/83)*(u\/u**4)\/u**(-2\/3))**(-8\/13) assuming u is positive.\nAnswer: u**(4624\/3237)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 412*f**3*k**3 + 991*f**3*k**2 - 136406*f**2 - 3*k**3 wrt f?\nAnswer: 2472*k**3 + 5946*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = i, o + 3*o = 4*i. Suppose 2*p = -w + 49, 4*p + p - 5*w - 145 = o. List the prime factors of p.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77811 less than -111264?\nAnswer: -189075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1465*g - 1468*g - 4*y = 25, -g - g = 4*y + 22 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -8*m. Let r be s(-2). Suppose r = 5*l - 4, -4*c + 68 = 5*l. Let f be (51\/c)\/((-1)\/(-4)). Calculate the highest common factor of 34 and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 + 22. Suppose -l = -n + 199. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -5*n + 1, 5*n - 4*o + 0 = -4. Suppose 2*y - 4*y + 5*v - 17 = n, 24 = y + 4*v. Solve 0*m = y*m - 16, u - 3*m = -8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -479 + 483. Suppose -5*u + 3340 = -3*z, -g*u + 3*z - 425 + 3097 = 0. What is the hundreds digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r**2\/4 + 68301*r\/4 = 0. Calculate r.\nAnswer: -68301, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2.699 times 55\nAnswer: 148.445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*h - 679 = 20*h + 5081. What is the highest common divisor of h and 336?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a milligram in micrograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1212 + 1443 - 2655 - 23*a**2.\nAnswer: -23*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-62)\/(-6) - (-48)\/(-36) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i - 27. Let b(v) = 10*v + 81. What is -2*b(p) - 7*f(p)?\nAnswer: p + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 278 - 276. Suppose -s - s - 10 = -2*g, t*g + 5 = -3*s. Let u(p) = -3*p + 2 - p**3 + 6*p - 2*p. What is u(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 59 - (-56 - -54) - (6 + -8).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2609966760 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.8 and 5126769?\nAnswer: 19481722.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-2\/11))\/w**(-1\/5)*(w*w*w\/(w*w\/w**(2\/5)))**(18\/5)*(w**(1\/2))**(5\/8)\/(w**(-4)*w**(-1)) assuming w is positive.\nAnswer: w**(50031\/4400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18453?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4928591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 9*y - 8. Let g be n(10). Suppose 0 = -2*a - g*x - 0*x + 4, a - 5*x - 2 = 0. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 2\/25, -4, 0.5, 21.5, 0.4 in decreasing order.\nAnswer: 21.5, 3, 1, 0.5, 0.4, 2\/25, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 7429509?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of b**9\/30240 + b**8\/3360 + b**7\/1260 - b**5\/5 - 13*b**2. Let p(d) be the third derivative of g(d). Let p(n) = 0. Calculate n.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*f = 166*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.9395 + -0.0605. Which is the smallest value? (a) 2\/19 (b) 0.5 (c) m (d) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 185 - 183. Calculate the remainder when 113 is divided by (-1)\/h + 82\/4 - -3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.9 + 3. Suppose 32 = -3*u - u - 4*o, 5*u = 5*o + 10. Let i = 0 - u. Which is bigger: i or r?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2 = 2*d, 0 = 3*g - 5*g - 5*d + 23. What is the units digit of (16\/2)\/(g\/16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 3*v + 123, x - 6*x + 4*v + 154 = 0. Suppose x*d - 5 - 4*d**2 - 45 - d**2 + 5 = 0. What is d?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**3 + 47*v**2 + 119*v - 3003. Determine n(23).\nAnswer: 263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 12*l + 3. Let n be ((-3)\/(-9))\/(2\/18). Suppose -4*r = -5*r + n. Let h be k(r). Calculate the greatest common divisor of h and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 10. Suppose -4*y + 28 = -4*v, -v = 2*y - 2*v - 9. Suppose -60 = -3*k + 3*f, -y*k = 3*k + f - 130. Solve -k = r*q + q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0977 - 6.9023. Sort 1, 5, n in descending order.\nAnswer: 5, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000216192262 rounded to 7 dps?\nAnswer: 0.0002162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000134189 to seven decimal places.\nAnswer: -0.0001342","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s**2 + 20*s + 56. Let t be x(-3). What is the highest common factor of t and 168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -3\/1033 (b) -0.1 (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrz when three letters picked without replacement from {r: 9, v: 4, z: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 110\/21 + -32\/7. Let l be (-1449)\/(-15) + 612\/459 + (-14)\/15. What is the nearest to l in -0.5, u, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9\/5 (b) -5\/6 (c) 0.1 (d) 0.23 (e) 1 (f) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 248*h - 30. Let n(m) = m + 9. Give b(f) + 3*n(f).\nAnswer: 251*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 9*p**2 - 36*p + 5. Calculate y(-7).\nAnswer: 698","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(7\/(0 - (-35)\/10)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*y - 1129 + 337 = 0, -4*i - 1021 = 5*y. Let o = 243 - i. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160 = n - 14*n - 303 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 15\/7194997 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 56 (b) 5 (c) -0.08 (d) 3 (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13006 - 6321 - 6364)*(0*q**3 + q**3 + q**3).\nAnswer: 642*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b = 4*b + 42. Put -2, 5, b in decreasing order.\nAnswer: b, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 3:00 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 3. Let z = -10 - -14. What is the second derivative of i*a**z - a - 2*a**4 + 4*a**4 wrt a?\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 381597 is divided by 230?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2661*u - 7*u**2 - 10600*u + 2663*u + 2607*u + 2669*u.\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p + p + p + 536*p**3.\nAnswer: 536*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -17*z**2 - 24*z + 89. Let y be f(4). Are y and -279 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 5*c**2 - c + 1. Let d = -1 - -2. Let t be b(d). Sort t, 0.3, -3 in ascending order.\nAnswer: -3, 0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 1 = -3*s, -3*j = j + 3*s - 26 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37362530 and 470.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2 - 3*p - 4. Let q be f(3). Let y be (1532\/(-8))\/(28\/(-8)). Let l = 55 - y. Which is smaller: l or q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -3*l + 2*h + 180, 247 = 4*l - 3*h. List the prime factors of l.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 - 18. Sort y, 0.3, -16 in decreasing order.\nAnswer: y, 0.3, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wlgo when four letters picked without replacement from ooooogwllwog.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) 5 (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, e: 2, w: 1, a: 1}. What is prob of picking 2 e?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/1*3)\/(4\/2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/24 - (-686)\/8. Let z = s + -51. List the prime factors of z.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.223 in -2, -46, -1\/6, -25?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 63243.91\nAnswer: -252975.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -6*i**2 - i + 4. Let t(h) = 5*h**2 + h - 3. Suppose 0*o - 3 = o. Let x(w) = o*t(w) - 2*c(w). Suppose 0 = -m + 191 - 190. Give x(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 - 3*f + 1)*(-20*f - 188*f - 2*f) in the form k*f**2 + w*f + a and give w.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**2 + 13*w + 3. Let x be t(-3). What is the units digit of (-4)\/x - ((-9620)\/45 + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -758*o + 1519*o - 18469*o**2 - 761*o.\nAnswer: -18469*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 4*j. Let g(b) = 5 - 2 - 3 - 11*b. Let i(o) = 6*g(o) + 17*m(o). Let k(d) be the second derivative of d**3\/2 - d. Calculate i(k(x)).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 5:33 PM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -287.3 and 124.\nAnswer: -35625.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -200 + 321. Suppose -25*s + f - 21 = 0. Let v(b) = -b**2 + b + 1. Let i be v(0). Solve -n - 3*d + 0*d = -i, 0 = -s*n + 4*d + 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13.7 + 13. Let o = 140 + -139.7. Let i = o + f. Which is the nearest to 1? (a) i (b) -0.08 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-20)*1)\/((-126)\/45)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/3 + 1630*x\/3 + 340300.\nAnswer: -2*(x - 1230)*(x + 415)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -3*a**4\/16 - 5*a**3\/4 - 21*a**2\/8 - 9*a\/4 - 8. Let p(x) = 0. Calculate x.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**2 + 3*d - 2. Let h be v(2). Suppose s + 0*s - 5 = -4*p, 3*p - 6 = -3*s. Let k = -63 - -66. Sort s, h, k.\nAnswer: h, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 1184*c**2 - 111*c + 333. Let y(m) = -m**2 - m + 3. Give -2*v(s) + 222*y(s).\nAnswer: -2590*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1558, -1554, -1556, -1570, -1602, -1658, -1744?\n\"Answer: -z**3 + 3*z**2 + 2*z - 1562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12521.744 minus -5?\nAnswer: -12516.744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - g)*(3 + 3 + 3)*(g + 5 - 5).\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 2*f + 3*f = 0. Suppose 9*p = -f*p - 18. Let z be (6 - 8)*(3\/(-2) + p). Solve 9 = 4*s - z*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3827029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**2 - 18*w - 11. Let l(a) = 3*a**2 - 20*a - 11. Determine 5*j(g) - 4*l(g).\nAnswer: -2*g**2 - 10*g - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 822108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 13, a: 3}. Give prob of picking 2 e and 1 a.\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/4 - 6067*m + 6632792.\nAnswer: -(m - 1048)*(m + 25316)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 1.7. Let t = u + -3.3. Let j be 1\/6 - (-4)\/(-6). Which is the third biggest value? (a) j (b) 3\/2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -11*i + 29. Let c(m) = -7*m + 19. Let p(b) = -8*c(b) + 5*s(b). Let k be p(6). Calculate the remainder when 33 is divided by k - -1 - (-13 - -1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 325513402 + -2?\nAnswer: 325513400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*k - 17. Solve 7 = -2*m + 5*b - 8, k = b for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92 (base 12) to base 7.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tqttqtqqqq. What is prob of picking 3 t?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/168*-6)\/(2597\/(-2968))?\nAnswer: 4\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 2*z - 10. Suppose -5*d + 100 = -z*k, 5*k - 4*d + 90 = -d. What is the common denominator of -67\/2 and 54\/k*(-6)\/(-40)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1860629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 116.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 433 or 10?\nAnswer: 433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*l**2 + 112 - 15*l**2 + 137 + 26*l**2 - 6 + 54*l.\nAnswer: 3*(l + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3131290867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 17*b**5\/5 + 5*b - 12. Differentiate d(f) with respect to f.\nAnswer: 68*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 5*p**2 + p - 1. Let x(f) = -20*f**2 - 5*f + 4. Suppose 12 = 14*s - 18*s, -q - 4*s - 3 = 0. Calculate q*d(g) + 2*x(g).\nAnswer: 5*g**2 - g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*x**2 + 0*x**2 - 4*x**2 - 2*x**2 to g*x + n + r*x**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**5 - 1944*k**4 - 179206*k**3 - 2915268*k**2 - 16259008*k - 27220224 = 0 for k.\nAnswer: -67, -8, -3, 1058","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 + 22. Let g be 2*-1 + 4 + v. Suppose -o = 3*n - 9, 3*o - 3 = -g*n + n. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 21 = 2*u, m - 349 = -4*u - 366 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3542)\/(-115) + -25 - 1)*120\/9.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 9 + 7*g - 2*g)*(-3 + 3 + 2).\nAnswer: 2*g + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -2 + 0*d + 1\/24*d**4 - 1\/2*d**2 + 1\/6*d**3. Let j(c) be the second derivative of f(c). Give j(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244410 rounded to the nearest 10000?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-16 - (-567)\/35).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(-5*p + 8*p + 4*p)*((-2 - 6 + 5)*(3*p + 0*p - p) + 1 - 8*p - 1).\nAnswer: 196*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 369333523?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 15. Let x(n) = -n - 31. What is 5*j(p) + 2*x(p)?\nAnswer: -2*p + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 535911 - 536013.9666. Let k = 103 + a. What is k rounded to three dps?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208)*-2)\/(5*sqrt(8)\/sqrt(2)))**2 - ((sqrt(1872)*-4)**2 - ((3 + sqrt(832))**2 - sqrt(832))).\nAnswer: -727567\/25 + 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (50\/(-175))\/((-1)\/(-7)). Is -20 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 90\/162*(1 - (-2 - 0)). Factor -4\/3*u - 1\/3*u**2 + p.\nAnswer: -(u - 1)*(u + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -861627 (base 9) to base 11\nAnswer: -320472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 755 + 448. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 1. Let a be n(2). Suppose k + v - 5 = 1, -k + 18 = -a*v. Let m = 29 + k. List the prime factors of m.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = l. Let q be (-3 - -1)*(-5)\/2. Find the third derivative of 7*h**2 - 4*h**5 + h**2 + 3*h**2 + l*h**q wrt h.\nAnswer: -240*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u**2 + 3*u**2 + u**2)*(-u**2 - 5*u**2 + 4*u**2) - 120*u**4 + 91*u**4 + 218*u**4 to p*u**3 + v + z*u**4 + q*u**2 + l*u and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*a = -71*a + 2*w - 28757, -5*w = -5*a + 28785. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, k: 1, r: 1, p: 1, z: 1}. Give prob of sequence zrk.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -2. Let h = 1.6 + -6.6. Let o = -5 - h. Put o, 5, g in increasing order.\nAnswer: g, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 330 + -353. Let b = -22.4 + 3.4. Let q = z - b. What is the nearest to 0.1 in -2\/9, 1\/5, q?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4920)\/(-4260))\/82)\/((-2)\/4)?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 8*s**3 + 2*s - 4. Let b(m) = -m**3 + 6*m**2 - 4*m + 2. Let v(r) = -2*r**3 + 4*r**2 - 3*r + 2. Let c(l) = 2*b(l) - 3*v(l). Determine -9*c(d) + 4*f(d).\nAnswer: -4*d**3 - d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of 27*i**3 + 0*i**4 - 1\/5*i**5 + 0*i**2 + i**6 + 89 + 0*i. Find the third derivative of m(x) wrt x.\nAnswer: 360*x**2 - 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z = -16350 - 38170. What are the prime factors of z?\nAnswer: 2, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**3 - 2*t + 2*t)*(-5*t + 5*t - t**2) + 366*t**5 - 181*t**5 + 293*t**5 + 5*t**5 - 3*t**5 - 5*t**5.\nAnswer: 474*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l - 6. Let h(d) be the second derivative of -23*d**4\/12 - 4877*d. Give h(v(q)).\nAnswer: -207*q**2 + 828*q - 828","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 10168542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1275 divided by 5.\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3570\/13 or 274?\nAnswer: 274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 3:07 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238 = 3*q + 7*p - 9*p, -4*q + 2*p = -318. Suppose 20*l = -0*l - q. Let t = -0.8 - 0.2. Which is the second biggest value? (a) l (b) t (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-206)\/3 - 7\/21. Let t = -48 - j. Is 10 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -264 + -1164?\nAnswer: -1461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.64, -5\/2, -2?\nAnswer: 0.64","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (0 + sqrt(304))**2 - (sqrt(57)\/sqrt(3) + -2 - sqrt(76)*-1).\nAnswer: -3*sqrt(19) + 307","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/621832 and -22\/4091?\nAnswer: 621832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -t**2\/8 + 335*t\/4 - 2400 = 0.\nAnswer: 30, 640","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w**2 - w - 1. Let o(b) = -5*b**2 + b + 2. Let t be (47\/2 + -21)*42\/(-15). Give t*n(u) - 4*o(u).\nAnswer: -u**2 + 3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -43a (base 11) to base 16\nAnswer: -20f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*t + 658 + 4374. Let v = t - 261. Solve 30*r = v*r + 25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115496 = 1790*k - 29576 for k.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17*4\/340 - 11\/80?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/3)\/(7\/(-525)). Let o = 27 + r. Suppose -20 = -q - o. 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: Suppose -5*g - 2 = y, 5*y + g - 6*g = -10. Let b(j) = j**2 - j - 2. Let i be b(-2). Sort i, y, -3.\nAnswer: -3, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/207138 and 47\/69046.\nAnswer: 207138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 1\/4797, -2\/5 in ascending order.\nAnswer: -2\/5, 1\/4797, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 260 and 10267556.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 452, 960, 1468, 1976?\n\"Answer: 508*q - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r + 29. Let x(i) = i. Let u be 605\/715 - 4\/(-26). Let h(n) = u*x(n) + d(n). Let b(j) = -6. Give 11*b(t) + 2*h(t).\nAnswer: -2*t - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.02371 minus -32913339?\nAnswer: 32913295.97629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 72\/(1188\/33) + 103. Suppose 2*p - 134 = 16. What is the highest common divisor of p and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -11\/7 (b) -0.1 (c) 1\/4 (d) 2\/9 (e) -1.4 (f) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 + -15 - (0 + 0)) + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/60 and -49\/1998?\nAnswer: 19980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -a**5\/30 + 3*a**2\/2 - a. Let p(f) be the first derivative of h(f). Factor p(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1331941 and 52?\nAnswer: 5327764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**2 + 2*n**3 - 7*n + 29*n - 13*n**4 + 2686 - 2688 to g*n + b*n**2 + i + w*n**4 + j*n**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence et when two letters picked without replacement from {e: 13, t: 6}?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.003 + 0.003. Let m = 375 + -1879\/5. Put m, h, -3 in descending order.\nAnswer: h, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10599 is divided by 842?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 7*z + 3*z + z)*(-1 + 2 + 0).\nAnswer: -3*z - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/10154469 and 68\/1101087.\nAnswer: 91390221","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -246*x**2 - 53. Let d(h) = 888*h. Give d(m(r)).\nAnswer: -218448*r**2 - 47064","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 176466517 to the nearest integer?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -10111 (base 2) to base 7\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 6:09 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5}. What is prob of picking 3 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 235.5 - 252.49. Let l = 0.01 - q. Let m = 16.55 - l. Round m to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**3 + 2*x**3 - 2*x**3)*(-x**2 - x**2 + 4*x**2) + 46*x**5 - 33*x**5 - 56*x**5.\nAnswer: -47*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-6)*12\/184*(-407)\/407.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.66 - -1.76. What is the closest to -1\/28 in -1\/6, m, -4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 548517012 a multiple of 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.001 + 0.931. Let v = t + -1. Round v to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21450313 (base 6) to base 4.\nAnswer: 2131102011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 814067670.\nAnswer: 2, 3, 5, 13, 2087353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1204753937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 6045*c**2 - 155*c + 155. Let w(b) = -155*b**2 + 4*b - 4. Determine 4*g(n) + 155*w(n).\nAnswer: 155*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*r + 7*r**2 - 6*r - 5*r**2 + 1 - 3 in the form l*r**2 + j + o*r and give o.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + (sqrt(8)\/sqrt(4)*1)**2 + -4 + 3)*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 13*o**2 - 15*o + 14. Let r be k(14). Suppose -4*n - 4*c + 40 = -0*c, r = 4*c. What is the greatest common divisor of n and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*r**2 - r**2 + 13*r**2 in the form s*r**2 + f*r + g and give s.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10*(1 + (-12)\/8). Calculate the remainder when -49*(-5 - (u - -1)) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x. Let c(o) be the third derivative of 4*o**5\/15 - 2*o**2. What is m(c(j))?\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 + 7 = 4*u. Let z be u + (-5 - (-330)\/27). Which is the closest to -2.3? (a) -2 (b) 5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-176)\/(-132))\/(6\/(-27)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 6*h - 2*h - 1382, s + h = 695. What are the prime factors of s?\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0 - 39 = 0. Let n = -21 - i. Does 6 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 316 and 10823?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a kilogram in grams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 1086*u - 42331. Give h(39).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 723.\nAnswer: 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 151, 0, 3, 5, -296 in descending order.\nAnswer: 151, 5, 3, 0, -296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 475.1886nm in millimeters?\nAnswer: 0.0004751886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xf when two letters picked without replacement from {x: 3, f: 1, j: 5, q: 3}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23465 - -1675. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 10*v**2 - 5*v**2 - 11*v - 25*v**2 - 4*v**2.\nAnswer: -44*v**2 - 11*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 185.4135 months?\nAnswer: 1.5451125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43416089 to the nearest integer?\nAnswer: 6589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-8) - 1\/4. Let f be 1*-2 + (s - -3). Suppose 78*o - 4*a + 19 = 73*o, -2*o = 5*a + 1. Sort 5, f, o in descending order.\nAnswer: 5, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 - (34737444\/(-105) + 12\/(-10) + 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 290.7 - 291.7. Let o(b) = b**3 - 2*b**2 - 3*b + 4. Let i be o(3). Let t be 2\/12*i*-1. What is the biggest value in j, 2\/7, t?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 5*u + 5. Let j be i(-1). Does 12 divide 94 - 3 - (3 + j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 452 or -37\/1718?\nAnswer: -37\/1718","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12665742?\nAnswer: 2, 3, 19, 111103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 7 + 1. Let z be (-2)\/p + (-44)\/(-8). Suppose -39 + 15 = -2*n - z*v, 5*n + 4*v = 26. Does n = 4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.5137 + -0.5663. What is the smallest value in 0.5, k, -1\/2, 0.06?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1071 and 14302491.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {a: 1, v: 1, d: 1, n: 4, f: 1}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 696419?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (16\/(-56))\/((-24)\/14). Let f(l) be the second derivative of l + 0 + i*l**3 - 1\/2*l**2. What is f(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26226 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 31*p**2 - 2. Let n(u) = 54388*u**2. Give q(n(j)).\nAnswer: 91699690864*j**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -93 - -91. Suppose 0 = -3*c + 41 - 2. Suppose -15 - c = 4*x. Are x and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3140*u**3 - 9*u**2 + 31*u + 10. Let p be r(-15). Let x be p\/(3 - -2) + -4. Round x to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 256 - -2. Is 6 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 703 and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000111100010 - 110000100?\nAnswer: -11001101100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 585 and 4.\nAnswer: 2340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -43 - (16 + (9 - 7) + -22)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -175 or -174?\nAnswer: -174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 66 + -70. Let u = 0 + 4. Let d be (u\/(-5))\/((-10)\/25). Sort q, -1, d in decreasing order.\nAnswer: d, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 r, and 1 m when four letters picked without replacement from iimirriripii?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 38 (b) 0.4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**2\/7 - 74918*v\/7 - 1403176681\/7 = 0. Calculate v.\nAnswer: -37459","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -250 - 100. Suppose -k = -5*u - 3*a, 2*u = 3*a + 9 + 19. Let t = 16 + u. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.97 - -0.03. Let v be 12\/27*54\/12. What is the closest to v in j, 5, 1\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*b**2*m**2*n**2 - 16*b**2*m**2 + b**2*m*n**2 + 5*b**2*m*n - 4*b**2 + 7*b*n**2 + 2*m**2*n wrt n.\nAnswer: 32*b**2*m**2 + 2*b**2*m + 14*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -154*z**3 - 10*z**2 - 249*z - 5. Let w(u) = -151*u**3 - 12*u**2 - 250*u - 6. Let p(h) = 6*c(h) - 5*w(h). Find the second derivative of p(a) wrt a.\nAnswer: -1014*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(320) + -1 + 0)**2.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -10222 (base 3) to base 5\nAnswer: -412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3*d - 11 + 77 - 44. Let r be n(6). Put r, -2, 3, 7 in decreasing order.\nAnswer: 7, r, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 8*q**2 + 6*q - 19. Let o be p(-9). Suppose -m - 2 = o. Is 0.1 at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 367943987 and 3401?\nAnswer: 3401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-3))\/((-2)\/9)*-2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5872, 5044, 3680, 1792, -608?\nAnswer: -3508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - (sqrt(117) - (sqrt(117)*-1*-3 - sqrt(117))))\/sqrt(9).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 271*n**3 - n - 1. Let j be 4\/12 - 8\/6. Let u be x(j). Let v = 36 - u. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 9:30 PM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190087632.\nAnswer: 2, 3, 7, 188579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.2516*0.2\nAnswer: -0.05032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 4:32 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58214.\nAnswer: 2, 13, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + 4 + (7 - (19 - 62))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1992 - 1993. Let d(x) = -2*x**3 - x**2 - x. Let v be d(-1). Let i = v + -1. Which is the nearest to -1? (a) f (b) i (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1307 + -1299. Solve -5*h - 3 = -t*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1131 (base 5) to base 11.\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*k + 155 = -5*x, -530*x = k - 527*x + 117 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a century in months?\nAnswer: 6240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 2:18 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 33\/5 of a week?\nAnswer: 66528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*t - 16*t - 22*t)*(t + t - 4*t)*(8 - 25 + 8).\nAnswer: -1224*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*x - 31109 = 34291. List the prime factors of x.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**14*j)\/(j\/(j*j\/j**(1\/11)*j)))\/(j**24\/j**7))**(-12\/13) assuming j is positive.\nAnswer: j**(12\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*v = 852, -7*m + 11*m + 5*v - 1660 = 0. Are m and 421 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 15) + (-2 - (13 - 20)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3594 = -z - 4*p, -3*p + 4*p - 5 = 0. Let a = 34574 - z. Round a to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f - 3*f + 5*f - 179 + 179 - 8*f + (f - 4*f + 0*f)*(1 + 2 - 2).\nAnswer: -13*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3181315437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 561?\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of y**5\/25 - 43*y**4\/5 - 272*y**3\/15 + 312*y**2 - 40*y + 3. Determine u so that p(u) = 0.\nAnswer: -3, 2, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3398472913?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 131 + -136.8. Let q = 12 - 10.2. Let j = m + q. What is the closest to 1 in 0.5, -1\/5, j?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4*c + 114106 = 0, -171168 = -j - 2*j - 3*c. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -a**4\/12 - 2*a**3 - 5*a**2 + 3*a. What are the prime factors of d(-10)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 627817.\nAnswer: 19, 173, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/272 and 7\/80?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5 = 11. Let m(a) be the third derivative of 29*a**4\/24 - 73*a**3\/3 + 6*a**2 + 3. Let x be m(6). What is the greatest common factor of x and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 q when four letters picked without replacement from lllqllqqql.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u**2 + 5*u**2 - 4*u**2)*((3*u - u - u)*(-2 + 4 - 1) + 3*u + 0*u - 5*u)*(-3 - 2 + 6) to the form r*u + b + a*u**2 + z*u**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j + 3*h, 3*j + j - 3*h - 27 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 8 = 2*g - l, -3*l + 6 = 0. Suppose -4*z - 1 = -3*z. Let s be (2 + z)\/((-1)\/g). What is the nearest to 2 in -0.4, s, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b**2 + 12*b**2 - 5*b**2 - 1 = 0. What is b?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 6 + -20 + 6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/2 + (-2)\/4. Let z be 17 - 1*(-2)\/o. Solve -3*f = -8*f - z for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0415863 to three dps.\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2388 - -2500. Calculate the lowest common multiple of 12 and k.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**2 - 7609*j + 15219*j - 7610*j.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*b**2 - 16*b**2 - 32 + b**3 - 82*b**2 to w*b**2 + o*b + s*b**3 + a and give w.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqxqxqrqqxqx. What is prob of sequence xqrr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567)*-2*2 + sqrt(567) + sqrt(567)*-1*-6 + ((2 + sqrt(567) + sqrt(567))*6 + sqrt(567) - (sqrt(567) + 2 + 2)))**2.\nAnswer: 2160*sqrt(7) + 127639","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -73*q**4\/4 + 7*q**2 + 3*q + 47. What is the second derivative of f(c) wrt c?\nAnswer: -438*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, 1\/3, 0.0649, 57\/4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/8*-15)\/((-24)\/(-64)). Let a(l) = -9*l - 25. Is a(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 436\/7 (c) 10.6 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 22.3 and -0.4.\nAnswer: -8.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -0.5, 4, 5, -4, 0, 274178?\nAnswer: 274178","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 8:13 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**3\/9 - 491*i**2\/3 + 49209*i + 444353\/9 = 0. Calculate i.\nAnswer: -1729, -1, 257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by 6\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 3*c**2 + 5*c + 6. Let f be s(-4). Let i = 32 + -23. List the prime factors of (f + 2)\/(-2) + i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -283 + 303. Solve 5*s = -4*v + j, -7*s = v - 4*s - 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 15 - 42 = 1291*s - 1288*s, -3 = 3*s - f for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 + -22. Is k > 1\/100?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - -1)*1\/(-1). Put -4, 5, j, 4 in decreasing order.\nAnswer: 5, 4, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -1 - 1 + 7 + 0 - 21*u + 2. Let v(t) = -7*t + 2. Calculate 2*m(o) - 7*v(o).\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149 - 17*l + 149.\nAnswer: -17*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 71.\nAnswer: -5\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22424542 - 1?\nAnswer: 22424541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9.5 + -9. What is the closest to 0.1 in -2, r, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 0.05, -3, 42, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - h**3 + 19*h**3 - 40*h**3.\nAnswer: -22*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38281 + 1494*n + 38281 - 1506*n.\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -51 + 52 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5266 - -5420. What is the greatest common factor of 286 and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 4*n + 3, -197 = 5*y + n - 215 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 529 = 65*g, -940*n = 4*g - 935*n + 17 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-142*b + 22 - 18 + 280*b + (2 - 3 + 3)*(-b + 0*b + 3*b))*(1 - 2 - 7) in the form n + l*b and give n.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 13. Suppose 0 = -3*p - 3*t + 9, -5*t = 17*p - 16*p - 11. Solve 2*o + 14 = -j, 4*j - p = 3*o - g for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -2, 0.1, 283 in descending order.\nAnswer: 283, 0.1, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2382029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -1\/24*o**4 + 0*o**3 - 2*o**2 + 0 + 0*o. Let c(z) = 2*z**2 - 2*z**2 - 3*z**2 - 264*z + 264*z. Calculate c(l(h)).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**4 + 9*f + 69*f**2 - 107*f**2 - 10*f as b*f**3 + k + n*f**2 + i*f**4 + l*f and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27 or 125?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 9:39 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 2*c - 28, 3*a - 19 = c - 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a factor of 23240009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nggh when four letters picked without replacement from {k: 1, g: 2, h: 3, n: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23.6 - 24. Which is the third biggest value? (a) -1\/2 (b) 0.3 (c) 0.4 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 6*n**2 + 38*n - 17. Let z be o(-10). Find the third derivative of -219*m**3 + 2*m + 10*m**2 + 219*m**z - 234*m**5 wrt m.\nAnswer: -14040*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -211, -196, -141, -22, 185, 504?\nAnswer: 959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*m = 5*b + 54, -3*b + m = 46. Let y(l) = l**2 + 15*l + 17. Let x be y(b). Solve s = 4*s + x for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -11*t - 9. Let m(p) = p + 3. Let j be m(-6). Let g be q(j). What is the greatest common divisor of g and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7189 + 7176. Let j(r) = -r**2 - 16*r - 20. Give j(g).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26216134 (base 7) to base 11\nAnswer: -1393542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*g = 366, 6 + 4 = -5*g. Suppose -2*v = -8*v + z. Solve d + 2*d = v for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 151\/3 - 52. Suppose 11*c + 316 - 283 = 0. Is u not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -593*z**7\/210 + z**5\/60 + 295*z**4\/24 + z**3\/6 - 2*z**2 + 101*z. Find the third derivative of c(t) wrt t.\nAnswer: -14232*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 7 + 193. Let q be (-6)\/(-48) - 45\/l. Let x = -8 + 6. What is the third smallest value in q, -0.02, x?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.046 - -0.656. Let k = t - -1.39. Is -4\/3 at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37835)\/2185 - 30\/(-95)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 4 + 9)*(-3*d - 1 - d + 3*d).\nAnswer: -14*d - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -710*z - 1. What are the prime factors of c(-13)?\nAnswer: 11, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of v**5 + 93*v**4 - 11144*v**3 - 3756765*v**2?\nAnswer: 60*v**2 + 2232*v - 66864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 85.23181 days?\nAnswer: 7364028384000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -14ab567?\nAnswer: -14ab567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4490*z + 13443*z - 4470*z - 4488*z.\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + k + (-60 - 74 + 120)*(4*k - 2*k - 3*k))*(12*k + 5*k - 4*k).\nAnswer: 195*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 46\/5 of a kilogram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -5*k - 27. Let p be w(-14). Let z be 69\/6*-8 + 0. Let c = p - z. What is the greatest common divisor of 15 and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13.77 + -10.77. Let g = -1.3 + 1. Let j = -44.6 - -45. Sort j, g, i.\nAnswer: g, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -849*f**3 + 586*f**2 + 1435*f = 0. What is f?\nAnswer: -1, 0, 1435\/849","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 7*r - 27*r + 4*r**3 + 23*r + 2. Let g(p) = 21*p**3 + 16*p + 11. Let x = -40 + 29. What is x*d(a) + 2*g(a)?\nAnswer: -2*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45357309 is divided by 144?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -0.15, -28, -0.02?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 754671357?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*l**2 + 19*l**4 - 6*l**2 - 37 + 23 - 18*l**4 + 16 + 13*l**3 - 31*l to the form u + s*l**4 + a*l**2 + d*l + q*l**3 and give d.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + 1976.\nAnswer: 1981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*q - 57*q - 216 = 53*q for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -2*c - 32. Let l be (-30)\/(-2 - 26\/c). Suppose -s - 5*r + 10 = s, l = 4*s - 5*r. What is the highest common factor of s and 90?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of b**4\/24 + b**3\/6 - 31*b**2. Calculate y(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wkekewkooeedwodkkwok.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/(-56))\/((-34)\/(-7)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-15))\/((-100)\/200)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10059345?\nAnswer: 3, 5, 31, 7211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61629339?\nAnswer: 3, 193, 106441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w - 7. Let o be h(13). Suppose 0 = 5*t - o*t + 138. Does 19 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11000000110010011 (base 2) to base 10.\nAnswer: -98707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is c6 (base 16) in base 11?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 + 8 + 6 + 1 - 64*z in the form f + j*z and give j.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -353 + 357. Suppose -2529 = -4*x + c, -3*c + a*c + 3161 = 5*x. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -8*v**3 + 5*v**2 + 2*v - 9. Let y be z(2). Let d = y - -2049. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.22 - -0.22. Which is the nearest to o? (a) 2\/7 (b) -2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -4, -25, 4, 387 in decreasing order.\nAnswer: 387, 4, -2, -4, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1.64836 - 53854.6\nAnswer: -53852.95164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -992, -248, 1778, 5728, 12244, 21968, 35542?\n\"Answer: 107*b**3 - b**2 - 2*b - 1096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-2\/3))**(-13\/2))**(-24)\/((c**(-4\/9)\/c)\/c*c*c\/((c\/(c*(c**(-2\/7)*c)\/c*c))\/c)*(c\/((c\/c**(1\/3)*c)\/c))\/(c**(2\/11)*c)) assuming c is positive.\nAnswer: c**(35744\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 73 - 85. Let t be (-15)\/10*s\/(-63). Which is the nearest to t? (a) 40 (b) 0.4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18602 * 7717.\nAnswer: 143551634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**3 - 14*r**2 + 28*r + 9. Give s(3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 5*p - 3*p - 240932, 240948 = 2*p - 3*y. Suppose -p = -9*f - 3*f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 2176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 5*g + 224. Calculate the remainder when 80 is divided by g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.2 + 3. Let l = 1211.8 + -1212. Let y = l - i. Is y less than or equal to -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274*a - 192*a + 2 + 720*a + 0.\nAnswer: 802*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 819 - -2177. Differentiate -161 - 2841*u - 67 - p*u + 6098*u with respect to u.\nAnswer: 261","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*h - 44, -4*c + 12 = -3*c - 4*h. Calculate the remainder when 55 is divided by c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 510*i - 172*i - 173*i - 166*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-81)\/(-918)*20\/(-90)*-9.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.197 and -32.38.\nAnswer: -30.183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*m - 120 = -104*m. What is the greatest common factor of 75 and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/360)\/((-11)\/6105)*(-4)\/(-8).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 216463\/3 + -72153. Find v such that -664\/3*v**2 + 384 + 128*v + 100\/3*v**3 - r*v**4 = 0.\nAnswer: -1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 99, 119, 141, 165, 191, 219, 249?\n\"Answer: g**2 + 17*g + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 5 = 3*a, -4*w + 5*a = -3*w - 29. Suppose -w*i + 1088 = -52. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(-30) - (-19)\/6. Suppose v = -u + 3, 6*v + z = v + u. Solve v + 2 = -l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-4\/5))**(1\/35))**23 assuming g is positive.\nAnswer: g**(-92\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.34939984 and -3?\nAnswer: 2.65060016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 414290 and 68?\nAnswer: 828580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 9. Suppose -f + 81 = -4*v, 61 = -g*v - 6*f + 3*f. Let z = v - -25. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 6 - -10 - 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -32242981337 take away 0.5?\nAnswer: -32242981337.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -499, -995, -1491?\n\"Answer: -496*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -15206, -0.1, -7\/6?\nAnswer: -15206","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 15*i**2 - 12*i + 19. Let p be o(2). Suppose 0 = 8*f - 19*f + p. What is the highest common divisor of 40 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -l**5\/20 - 5*l**4\/12 + 5*l**3\/6 - 5*l**2\/2 - 10*l. Let k be v(-6). What is the greatest common factor of 5 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hseehhhhsshkhskhhhh. What is prob of picking 1 s and 2 h?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 3*r + 4*r - 541, -3*n = -2*r - 808. Is n a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 18 = -5*g - 20, -z - 3*g = 14 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**14\/n**(5\/4) assuming n is positive.\nAnswer: n**(51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -2)\/(-2 + 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*k**3 + k**3 - 3*k**3 - 1621 + 1441 + 95*k**2 = 0. Calculate k.\nAnswer: -3, -2, 6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-249)\/(-6) - (-21)\/14 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 7*j**3 + 16*j - 14. Let k(x) = -8*x**3 - 16*x + 19. Give -3*k(p) - 4*o(p).\nAnswer: -4*p**3 - 16*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 4*b + 154 - 207, -75 = 15*o for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 4*m**2 + 8. Calculate j(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.296941 to 3 decimal places.\nAnswer: 0.297","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 h, and 2 x when four letters picked without replacement from nnxmnhmxmmnxnxxxnmnm.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 148\/975 - -2\/975. Suppose 3*o - 2*o - 7 = 0. Let x = -0.3 - -0.1. Which is the third biggest value? (a) o (b) -2 (c) x (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 917 a factor of 5401130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55270284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 23*l**2 + 7*l + 14. Let h be k(22). Calculate the remainder when (h\/(-20))\/(12\/120) is divided by 56.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2149 - -19451\/9. Which is smaller: 12 or f?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 1190 = 2*m, -2*m - 5*f - 268 + 1462 = 0. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19523264+741\nAnswer: -19522523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 15, 1\/3, 43, -3 in decreasing order.\nAnswer: 43, 15, 1\/3, 2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 10110010100010 (base 2) to base 11\nAnswer: 8648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5200, -10503, -15912, -21427, -27048?\nAnswer: -32775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -5*v**2 - v - 4. Let i(x) = -9*x**2 - 2*x - 7. Let r(g) = 5*b(g) - 3*i(g). Let t(y) = -3*y + 27. Let d be t(9). What is the units digit of r(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 304651?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1 + sqrt(153) + 1)**2*-1.\nAnswer: -169 - 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 66 + -66. Suppose 7*b + 10*b - 680 = n. What is the lowest common multiple of b and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 96667*-9807\nAnswer: -948013269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**3*w**3 - 2*a**3*w - a**2 - 1106*a*w**5 + 573*w - 2 wrt w?\nAnswer: 12*a**3*w - 22120*a*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2704.501712 to 1 decimal place.\nAnswer: -2704.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -140*n**3*s**3 + 693*n**3 + 2*s**3 wrt s?\nAnswer: -420*n**3*s**2 + 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 5827*z - 5696*z + 1)*(z**2 + 3*z - 3*z).\nAnswer: 131*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 750 = -19*u. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*g + 77*g = 2604. Let h(j) = -3 + 7*j**2 + 8 - 6*j**2 - 14*j. Give h(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-7)\/(-21))\/((-10)\/(-90)). Let w(j) = 4*j + 2*j**2 + m*j - j**2 - 10 - 1. Give w(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -15.2. Let i = a + -0.8. Put -7, 0.2, i in ascending order.\nAnswer: -7, i, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 d when four letters picked without replacement from zvvdwsddzuddzv?\nAnswer: 30\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*z + 135*z = -4. Suppose -5*s = -z*x - s + 35192, -3*s = -4*x + 35197. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**3 + 0*l + 0*l + l**3 + 3*l**3 - 2*l**3 + (-5*l**2 + l**2 + 3*l**2)*(-l + 3*l - 4*l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - q + 20. Let n be m(0). Let g = n + -19. Does 13 divide ((-2)\/3)\/(g\/(-45))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -6. Which is the third smallest value? (a) -1\/3 (b) r (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 9*p + 6. Give r(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 5*j + 3*j**3 - 7*j + j - 7*j**3 - 3*j**2 + 2. Let d be y(-2). Factor 4*u**5 + u + 16*u**3 - 4*u**4 - d*u**3 - u.\nAnswer: 4*u**3*(u - 2)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -914 - -911. Which is the second smallest value? (a) -1\/12 (b) 2 (c) 5.7 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66 + -33 + -36 + (1 - 2 - 2) - -62.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 9:57 PM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1040\/30 + ((-2)\/6)\/(-1). Let f = -3 - -8. Calculate the greatest common factor of f and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -14. Suppose -n*u = -4*u - 120. Let z = u + -82. Calculate the greatest common divisor of 57 and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12a169c (base 16) to base 4\nAnswer: 1022201122130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*l + 50 = -73*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 257337973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 8*v**2 - 8*v - 13. Let o be u(9). Let r = o - -7. Suppose 2*b + 11 = r*q, 3*b + 1 + 2 = 0. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -44868, -44956, -45104, -45312, -45580?\n\"Answer: -30*h**2 + 2*h - 44840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.61 to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -100200 (base 3) in base 7?\nAnswer: -522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 1:42 AM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 115.\nAnswer: -9\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x*x**2*x))\/(x**(-13)*x))**(1\/7)*((x*x**(-8)*x)\/x)\/(x*x*x**(-1)\/x*x*x)*x**(-5\/3)*x*(x\/x**(-3\/2))\/x assuming x is positive.\nAnswer: x**(-283\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1844843 divided by -1067\nAnswer: -1729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*a**2 + 168*a**2 + 49 - 2 - 87 to n + p*a + g*a**2 and give n.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 29, 10, -11, -34?\n\"Answer: -i**2 - 16*i + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(((-57)\/(-10))\/(-19)). Let x(a) = a**2 - 13*a - 6. Determine x(j).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3705169861458 and -112.\nAnswer: 3705169861346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07356 + -32?\nAnswer: -32.07356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 12 = u - 11, u = 5. Let g(p) = p + 10. Let j be g(-8). Suppose r = -j*s + 45. What is the lowest common multiple of s and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 4*x - x + 11530, -4*m + 4*x + 9216 = 0. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) 5 (c) -0.4 (d) 2\/35 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2967 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 1. Let r(p) = -p - 7. What is 18*b(t) + 2*r(t)?\nAnswer: -2*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*y + 10 = -86*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -z**5\/30 - z**4\/4 - 2*z**3\/3 + 3*z**2 - 8. Let y(w) be the second derivative of s(w). Determine k so that y(k) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -r**5\/20 + r**4\/4 + 11*r**2. Factor b(c).\nAnswer: -3*c*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(-2\/7))\/(o**11*o))\/(o\/o**(1\/2))**(5\/6))**(4\/15) assuming o is positive.\nAnswer: o**(-187\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80090, -80142, -80228, -80348, -80502?\nAnswer: -80690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10217\/9 + 1134. Find the common denominator of (-327)\/7 - 4\/14 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 3 - 13. Let r(a) = 16*a - 14. Let k be r(1). Suppose 4*q = b + u, -5*q + 10 = k*b - 8. Solve q*y + 4 = -6 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -h**2*q - 8978788*h*o*q**2 + h*o*q + o*q**2 - 12690*o - 2*q**2 - 228*q wrt h?\nAnswer: -2*h*q - 8978788*o*q**2 + o*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*r + 97*r + 8 = 0. Let a(x) = -x**3 + 5*x**2. Let o(n) = -n**2. Determine r*a(k) - 5*o(k).\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 478747*t - 478708*t + 273 = 0 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 476 - 209. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010832477 less than -9?\nAnswer: -9.010832477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63444 = -6*y - 29331 + 28455. Does 12 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 61.938 - -0.062. Let s = 342.3 - 404. Let w = r + s. Which is the smallest value? (a) -6 (b) w (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from totgzggtzttzxgtgx?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69155, -69149, -69135, -69113, -69083, -69045, -68999?\nAnswer: -68945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 3 + 6, -4*y + 14 = w. Suppose 22 = -80*s + 91*s. Suppose -i + 32 = 4*m, -4*m = s*i - 17 - 19. Solve w*q - 4*a = -3*a - m, -2*a = -2 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y**2 - 244932*y - 1224573. Give u(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 6\/(-5))\/((-394)\/394). Let y = -0.2 - -0.1. Which is the nearest to -1\/3? (a) -1 (b) y (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ovvg when four letters picked without replacement from {g: 4, v: 3, o: 2, n: 8}?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19.43 and 0.4?\nAnswer: 7.772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 5, 103, -6, -0.5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31)\/93*9\/4.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 4 + 3*(-5*(0 + sqrt(208)) - sqrt(208))*6 + 2)**2.\nAnswer: -8640*sqrt(13) + 2426212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**3 + 4*u**2 - u. Let a(j) = -192*j**3 - 900*j**2 + 2*j. Let k(q) = -a(q) - 2*l(q). What is the third derivative of k(m) wrt m?\nAnswer: 1128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 1:53 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2008742 to the power of 1\/3, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -f**4\/4 + f**3\/3 + 3*f**2\/2 + 6*f - 1. Let v = -1870 + 1867. Calculate the remainder when y(v) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 32*s**2 - 168*s + 9565. Give a(35).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-11 + 1 + (-3 - -9))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/62379576 and -53\/23058.\nAnswer: 187138728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 9, 2, 1, -4, 23, 5 in increasing order.\nAnswer: -4, 1, 2, 3, 5, 9, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a hour in minutes?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*w = 10. Let n be 0 + (-2*2)\/w. Let i be ((-21)\/n)\/((-6)\/(-8)). Solve 4*v - 13 = -2*t + 3*t, -3*v - 4*t = i for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*k + 12000 = 369*k for k.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -43. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**3 - 1. Let g be s(-1). Let h(y) = -2*y - 4. What is the units digit of h(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 885855827 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1156448838.2 rounded to the nearest one million?\nAnswer: -1156000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/3 (b) -5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**5 + 0*n**5 + 0*n**5 + (-2*n**4 + n**4 + 0*n**4)*(0*n + n - 3*n) - 71*n**5 + 122*n**5 - 62*n**5 - 2*n**5 + 0 + 0.\nAnswer: -10*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7*4\/(-70))\/((-2)\/(-30)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 n when four letters picked without replacement from {m: 13, y: 5, n: 2}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/4*-2)\/(31\/(9300\/(-108)))?\nAnswer: 25\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*s = 58*s - 2775 for s.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 - 328*h - 1376.\nAnswer: 4*(h - 86)*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + 0)*(-12)\/(-27)*(-54)\/84. What is the nearest to -1 in w, -2\/13, -26?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - m - 6 = 0, 2*m + 171 = 179 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1799 and -0.07.\nAnswer: 0.012593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 352966 times 4?\nAnswer: 1411864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48158449 to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 9. Solve n = 2*y + 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 - 20. Is 116 - (-1)\/3*z a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -8*v. Let c(m) be the third derivative of -205*m**5\/12 - 191*m**2 - 11. Calculate c(l(z)).\nAnswer: -65600*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c + 94. Suppose 0 = 4*k - 8*k. Is 32 a factor of o(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 76818826*a**3*g - 2*a**2*g**2 + 18*g**2 + 4*g - 657892 wrt a.\nAnswer: 230456478*a**2*g - 4*a*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2, 0.01233, 5, -5?\nAnswer: 0.01233","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 1. Let b(a) = 4*a**2 + 9*a + 5. Let x be b(t). Solve 0 = 3*c - 15, -4*c + x = -2*h - 2*c for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/16 - ((-234)\/48 - -5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 320 - 320. Suppose -p = i, -4*j - 7*p = -5*p - 4. Let c be ((-12)\/(-15))\/(4\/10). Solve 4*o - 11 = r, c = o - j for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p**2 + 17347900*p + 37618704301250 = 0.\nAnswer: -4336975","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*k**5 + 14*k**5 + 15*k**5)*(-65 - 94 + 184) + (-3 + 1 + 3)*(-k**5 + 3*k**4 - 3*k**4).\nAnswer: 1174*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -i**3\/6 - 3*i**2\/2 - 28*i. Let a(g) = g + 5. Calculate -3*a(w) - 5*p(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 923*v - 187*v - 186*v - 183*v - 183*v - 182*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -276*122\/(-2806) + 11?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -50 + 3220?\nAnswer: 3140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1\/4 (b) 403 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iwiywsww. Give prob of picking 1 w and 1 s.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 2. Put -1\/4, 1\/5, k in decreasing order.\nAnswer: k, 1\/5, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -206\/145369 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of t**7\/21 - t**5\/5 + t**3\/3 - 20*t - 12. Let w(m) be the first derivative of g(m). Solve w(h) = 0 for h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + h + 4. Let c be m(-3). Let l be 522\/45 + 4\/c. Suppose -13*q + 10*q = -l. Solve -3*j + q = -2*s, j - 6 - 18 = -5*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2*1)\/((-62)\/(-124)). Let d(r) = -r**2 - 3*r + 3. Let m be d(-3). Put m, 4, w in ascending order.\nAnswer: w, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24551658577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 + 4 - 4)*(-3*w + 2*w + 3*w)*(-78 - 51 + 19).\nAnswer: -5720*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 16 + 39*n**2 - 9 + 2*n + n**2 - 2*n + (-5*n**2 - 2*n**2 + 5*n**2)*(2 - 3 + 3))*(-3*n + 0*n + 2*n) as a + j*n**3 + u*n**2 + h*n and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from leflebfbeflcbbfesbee. Give prob of picking 2 l, 1 c, and 1 e.\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n - 2 + 3*n - n + 25*n + 5*n - 41*n.\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -z**6\/45 - z**5\/60 - z**4\/24 - z**3 - 3. Let m(g) be the third derivative of q(g). Let i be (-2)\/4 + 2\/(-4). Determine m(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (28130\/(-7))\/10 - 13. Which is smaller: l or -414?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 9*y + 25. Let c(r) = 3*r + 9. Let n be c(-3). Let d be -4*(2 - (4 - n)). Let b be j(d). Calculate the greatest common divisor of b and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62175079 is divided by 406373?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-115)*(-23046)\/3006*(-5)\/(-218).\nAnswer: 1\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/3*(28 + -15 - 7). Suppose -3*q + 5*y - 16 = -0*y, 0 = -4*q + 5*y - 18. What is the remainder when 32 is divided by 2\/((o\/13)\/q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 55 and 180?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 53 + 7 = 0. Suppose 5*m = -5*l - 25, 3*l + p = m - 0*l. Let u = -0.117 + -0.183. Which is the nearest to u? (a) -3 (b) m (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-30)*(-45)\/(-18).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 3:31 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -14 (c) -0.3 (d) -2\/11 (e) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 76 (c) 2\/5 (d) -17 (e) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 333, 668, 1021, 1404, 1829, 2308, 2853?\nAnswer: 3476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1486, -0.1, -2\/13, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7048 and 0.359.\nAnswer: 2530.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 145 - 142 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*c = -4*c + 1, 2*c = -p - 5. Solve 2*x + p*x = -10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -122.6 - 10.4. Let h = s + 32. Let r = h + 105.8. Which is smaller: -0.2 or r?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/4)\/((-2)\/8) + 57. Let s = j - 50. Let a(k) = k**3 - k**2 + 1. Let p be a(1). Solve -s*y + 5 = p for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*t**3 + 44995*t**2 + 14451425*t - 6201735.\nAnswer: 5*(t + 643)**2*(7*t - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 783754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1743308?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + q - 8. Give f(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 475\/84 + -9\/28. Suppose -d + 5*p + 153 = 0, -4*d - 493 = -7*d - 2*p. Calculate the common denominator of t and 4\/6 + d\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2400, -1886, -1018, 210, 1804, 3770, 6114?\n\"Answer: r**3 + 171*r**2 - 6*r - 2566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4151544 - 0?\nAnswer: 4151544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, v: 5, h: 3}. What is prob of sequence hx?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 342650\/(-202475)*104\/(-418)?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 12 = 2*i - 10, 2*i - 26 = -v. Suppose 3*d + 0*d - i = 0. Suppose -4*h + d*r = -2*h + 8, 9 = 3*h + r. Sort 4, -2, h in decreasing order.\nAnswer: 4, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in millimeters?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/(204\/(-252))*(-9)\/27.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 234141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2887.4124 months to years.\nAnswer: 240.6177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -2285?\nAnswer: -2283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 2*r - 3265, -4*r = a + 2*a - 1959. List the prime factors of a.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -i**2 - 6226382*i + 11013787 wrt i?\nAnswer: -2*i - 6226382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38254.00000183476 + 38254. What is i rounded to seven decimal places?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 1:58 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101001 - 1000111010000110111111?\nAnswer: -1000111010000011010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, b: 4, l: 4, z: 9}. Give prob of sequence zzwz.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -615*67\/1005*(0\/6 + 0 + 1)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.3, -0.06, -0.3.\nAnswer: -0.3, -0.06, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16\/3? (a) 5.7 (b) -1.3 (c) 11 (d) -4 (e) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.37 (b) 1\/67 (c) -5\/4 (d) 5 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 + 1510*o**3 - 1513*o**3 + 3*o - 3*o.\nAnswer: -3*o**3 + 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7035409 (base 11) in base 2?\nAnswer: 101111100000000010011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/32 of a kilometer?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 divided by -1?\nAnswer: -496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w - 7*w + 479025 = 30*w. What are the prime factors of w?\nAnswer: 5, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 56 - 3391?\nAnswer: -3338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -45119, -180421, -405931, -721655, -1127599, -1623769, -2210171?\n\"Answer: -d**3 - 45098*d**2 - d - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 52 + 13*z - 27*z + 13*z + (-1 + 1 + z)*(0 + 1 - 2) as t + d*z and give t.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1123 - -6797. Let q be (-9)\/(-12) - n\/(-8). What is q rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, b: 16}. Give prob of picking 1 b and 1 t.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -206, 222, 1372, 3604, 7278, 12754, 20392, 30552?\nAnswer: 43594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 6*p**2 - 3*p + 2. Let v be a(1). Let u(r) = -r**2 + 7*r + 5. Let d be u(v). Suppose 10 + d = 5*s. Solve 0 = s*j + 3*w + 17 - 3, -4*j - 6 = 5*w for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of z**4\/4 - z**3\/2 - 3*z**2. What is the first derivative of v(d) wrt d?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -51*a**5\/10 - 110*a**3 - 498*a**2 + a. What is the derivative of d(y) wrt y?\nAnswer: -612*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 249061?\nAnswer: 4\/249061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 8*s - 24. Let r(q) = 1. What is o(j) + 24*r(j)?\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3476*a + 4. Let r(t) = -t. Calculate h(r(n)).\nAnswer: -3476*n + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 716504571.\nAnswer: 3, 43, 1851433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -439449 + 232759 = -271*v - 232435 for v.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -a**3\/3 + 2017994*a**2\/3 - 1018074946009*a\/3 = 0.\nAnswer: 0, 1008997","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x**2 - 25*x - 4. Let d(w) = 2*w**2 + 26*w + 3. Let a(f) = -3*b(f) - 4*d(f). Let a(t) = 0. What is t?\nAnswer: 0, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(28\/(-8) - -4)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -34, -65, -104, -151, -206?\nAnswer: -269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1024, 551, 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.06 - -0.47. Let r = -0.03 + f. Sort r, -0.5, -4 in descending order.\nAnswer: r, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 4:49 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -5*w + 4*w + 6*w - 4*w - 5. Let l be t(10). Suppose -2*u - 4*p = -l*u + 141, -141 = -3*u - 4*p. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of t**4\/4 - 11*t**3\/3 + 2*t**2 + 60*t + 103. Solve p(o) = 0 for o.\nAnswer: -2, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-97 - k - 114 + 184)*(k - k - k) in the form v*k + t*k**2 + a and give v.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1402636 (base 8) to base 5\nAnswer: 100112104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 212, -16, 1, 6, -244 in descending order.\nAnswer: 212, 6, 1, -16, -244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (m - 1 + 1 - 3*m + m + 0*m - 2*m - 2 + 2 + (0*m + m - 3*m)*(0 - 2 - 1))*(-6 + 2 + 3)*(0*m**2 - m**2 + 0*m**2) as u*m**2 + i + b*m + j*m**3 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 1:41 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1544 divided by -6?\nAnswer: 772\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 6 = 4*c. Suppose 4*n - c = -0*n. Let g = 3 - n. Solve g*a = -3*a + 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 11 = -2*x. Let h(v) = -v + 25. What are the prime factors of h(x)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - y - 84. Is l(-15) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14964643 at least -14964647?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -14449*j + 7787. Let p(d) = -7224*d + 3891. Let o(h) = 2*c(h) - 5*p(h). What is the first derivative of o(l) wrt l?\nAnswer: 7222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 187*c - 8218. Let j be x(-37). Calculate the greatest common divisor of 42 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -3*i + 7, 3*x - 3*i - 2*i - 11 = 0. Suppose 0 = -4*a + x*a. Suppose 3 = 2*r + 1. Sort 3, a, r, 10 in increasing order.\nAnswer: a, r, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2 = 3*k, 1 = 5*k - 3*k - 5*w. Let u be (3\/k)\/(3\/30). Let a be (6\/(-4))\/(u\/10). Solve -3 = 2*p + a for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -35, -1, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 47164930831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - -3)\/(3 + (-1 - 1)). Sort -3, 4, n, 0 in descending order.\nAnswer: 4, n, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 u when two letters picked without replacement from tuutlltlhwuuuuuwhw?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2*o + 274 = 6*h, 0 = 3*h - 5*o - 186. Let x = h - 59. What is the greatest common factor of 152 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -117*q + 122*q - 3*f - 63, -3*q = -3*f - 39. What is the remainder when 1 + (3 + 0)*(17 + 0) is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 17*b**2 - 3*b + 4. What is d(1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + -1 - (6 - (33 - 30))) + 24 - -30?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, 8834\/5, 56, 3, -2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(700) + 1 + 3 - sqrt(700)))**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 b when two letters picked without replacement from {d: 4, p: 12, l: 1, b: 2}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -11*y**4\/6 - 4*y - 23. Let j(b) = 7*b**2. Determine -17*j(a) - 6*q(a).\nAnswer: 13*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + sqrt(21)\/sqrt(7))*-1 + -2 + sqrt(300) - 6*sqrt(12)\/(sqrt(4)*2*-2).\nAnswer: -2 + 19*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/7, -1\/2, -0.2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 0.03, 1, -3\/11, -0.5 in decreasing order.\nAnswer: 1, 0.03, -3\/11, -0.5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i - i + 6*i)*(-3 + 4 - 2 + (-1 - 1 + 3)*(-3 - 2 + 6) + 2 - 2 - 2 - 4 - 2 + 4) + 5*i + 2*i - 3*i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-87)\/((-15834)\/(-2275))*(-1)\/((-1)\/(-1))?\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*n + 2*n + 37*n - 42*n - 5*n - 3*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/2, 2\/3, 5, 57?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1236 divided by -6\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -664 - t + 664.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3\/4 - 7*m**2\/2 + 17*m\/4 - 3\/2.\nAnswer: (m - 3)*(m - 1)*(3*m - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -49 + 17 + 43780\/1375?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 11:16 AM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.97 - 7.67. What is the second biggest value in 1, 4, u, 14\/9?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5*l**2 + 97*l + 2649. Let i(z) = -9*z**2 - 155*z - 3974. Calculate 5*i(w) + 8*v(w).\nAnswer: -5*w**2 + w + 1322","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeiiiiieeiiieeeeeie. What is prob of sequence ie?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = g - 0. Suppose -2*a - 1 = g, 2*a + 6 = 2*z. Let t(n) = 4*n + 1. What are the prime factors of t(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2*n = 40. Let k(x) = -x**3 + 2*x**3 - 2 - 10*x**3 + 4 + 10*x**3 - 5*x**2 - 6*x. What is the hundreds digit of k(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2678, 2672, 2650, 2612?\nAnswer: 2558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00008603428 rounded to 6 decimal places?\nAnswer: -0.000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80)\/sqrt(5))\/sqrt(8))**2 + (-3*sqrt(12))\/sqrt(6).\nAnswer: -3*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 5*q - 2*q - 3471, -3*q = -5*y - 4341. Let i = y - -1987. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -13*173*((2 - -15) + -19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1209 divided by -1.\nAnswer: 1209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (1586\/305)\/((-4)\/10)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2*v - v + 6 = 0, -8 = -2*u - 4*v. Suppose 2*i + u*i - 18 = 0. Does 4 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2634797*b**4 + 3817970*b**2?\nAnswer: -63235128*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 90, 133, 174, 213?\nAnswer: 250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 6:06 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5*k = 30, -3*k - 63 = -4*m - 53. Let f be 1 + -1 - (0 - 20). Calculate the greatest common factor of m and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(2*21\/(-441))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3+-0.12583\nAnswer: -3.12583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-66*z - 78*z + 39*z)*(-2*z + 2 - 2) to d*z + j + y*z**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -6*x + 142. Let w be s(19). Does w = 31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 433 is divided by 56.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -6\/7976311?\nAnswer: -6\/7976311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -17. Suppose 4*n + n = 15. Suppose -3*g - 23 = -n*d + 13, 2*d - 5*g - 36 = 0. Which is the smallest value? (a) 2\/7 (b) d (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 163377*g + 2 + 2 - 2 - 163193*g in the form n*g + b and give n.\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 5*v - 64. Let y be r(12). Let b be (-6 - y) + 5*4*2. What is the greatest common factor of b and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 135709?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 12:14 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30044747 is divided by 28.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66031 divided by 1.\nAnswer: 66031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + -1)*(-15 + 14). Let p(i) = 6*i. Let f be p(1). Let q be (f\/(-9))\/(2\/(-18)). Solve -5*a - 4*v - 7 = x, 2*v = a - 1 - q for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 2:40 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in 1\/4, 2\/17, -6?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 322*l**2 + 475?\nAnswer: 644*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30674599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14660 + -14659.991349. What is g rounded to 4 decimal places?\nAnswer: 0.0087","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = x - 10. Suppose 5*d + 18 = 3*d - 3*q, -4*q + x = 0. Let w be 1\/3 + 93\/(-9). Is w at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -196 + 183. Let g = 19.2 - 16. Let b = 3.1 - g. Is b at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 10*c - 9*c)*(-c + 2*c - 3*c)*(3 + 0 - 4)*(-1 + 2 + 1).\nAnswer: -68*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49 and 1981?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 453 and 604.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*d - 147*d + 48 + 21*d + 43*d + 39*d.\nAnswer: -2*d + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3\/11)*q*(q\/(q\/(q*q\/(q*q**(2\/21)*q*q))*q*q*q))\/q*q)**5 assuming q is positive.\nAnswer: q**(-3890\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13070239937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1288 and 12544.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - k + 17. Let g(s) = 1071*s**3 - 959*s**2 - 5*s + 85. Let b(p) = -g(p) + 5*v(p). What is the third derivative of b(q) wrt q?\nAnswer: -6426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b - 3*b + 0*b)*(7 - b + 88 + 36) in the form m + u*b**2 + a*b and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 14) in base 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5501 is divided by 288.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*i - 372. Let h(k) = -2*k**2 - 2*k - 69. Let d be h(3). Is i equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2395\/33572 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5310 * 6.415\nAnswer: 34063.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59.9963 + 60. Round m to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/((sqrt(847) - -2*sqrt(847)) + sqrt(847) + sqrt(7)) + 1*-2*sqrt(1900).\nAnswer: -899*sqrt(19)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-396)\/(-88)*(-36)\/(-54)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -3*g**2\/2 + 8*g + 14. Let f be r(-5). Find the first derivative of -a + 3*a - f + 39 wrt a.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186 = c - 190. Suppose -b = c*y + 17, -5*y + 10 = -3*b - 2*b. What is the closest to y in -3\/8, 1\/5, 0.4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2877261 to the power of 1\/3, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17342 + 17358. Let j(l) = 2*l**3 + l**2 - 4. Calculate the remainder when j(3) is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11081 + 0.2.\nAnswer: -11080.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 5*z. Let c be v(1). Suppose -c*p + 209 = -276. Suppose 5*x - 18 - p = 0. Does 19 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4857, -5361, -6099, -7077, -8301, -9777?\nAnswer: -11511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1226666 and 3?\nAnswer: -3679998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.34, -7\/2, 0.5?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -705, -704, -701, -696?\nAnswer: -689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 12*x - 3. Let y(h) = -77*h. Determine g(y(k)).\nAnswer: -924*k - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of r**4\/60 + 17*r**3\/30 + 8*r**2\/5 - 45*r - 1. Factor c(t).\nAnswer: (t + 1)*(t + 16)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8068.007 kilograms to nanograms.\nAnswer: 8068007000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1, -0.1, -0.8, 39, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1201163 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*n + 2*n - 12630 + 12628)*(-n - 2*n + 4*n) - 28 - 20 + 47 + n + 2*n**2 to v*n + t*n**2 + s and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 28429733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 61 + 181. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/(-6)*-1 - 2) + 2454\/18. Are 678\/5 and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**3 + 3*b**2 + 2*b + 2. Let o be d(-3). Suppose -4*q + o = -3*k, q = -0*q - 3*k + 23. Is q a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-126) + (-82)\/(-369). Let c = -1 - 0. Let h = -4 + c. What is the nearest to t in h, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of 0*t**4 - 1\/12*t**5 + 1\/120*t**6 + 0*t + 0 + 3*t**2 + 0*t**3. What is the third derivative of h(z) wrt z?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -3. Suppose -l*p - 117 = p. Is 13\/p + 598\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4681848, 4681857, 4681888, 4681953, 4682064?\n\"Answer: 2*t**3 - t**2 - 2*t + 4681849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2658 + 2663. Calculate the smallest common multiple of 434 and s.\nAnswer: 2170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -230, -846, -1874, -3314, -5166, -7430?\nAnswer: -10106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5 + -0.55. Let f = -3.95 + k. Let d = 7.9 + -8. Which is the second biggest value? (a) d (b) -0.3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 42\/(-4)*4976\/(-2177). Solve -7*o - o - j = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5095 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 392 + -8. Suppose 14*m - 18*m = -o. Calculate the highest common divisor of 32 and m.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 167296\/3 or 55764?\nAnswer: 167296\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 not equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a = -9 + 65. Suppose 0*y - 4*y = -a. Put y, 6, 3 in increasing order.\nAnswer: y, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4*y**2 + 5*y + 4. Let k(d) = 185 + d**2 - 170 + d - 14. Calculate 3*k(j) - s(j).\nAnswer: -j**2 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1183184297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 410 and 18714286?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3375\/6075*(8\/10)\/(2\/6).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -244278.\nAnswer: 5\/244278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.27 (b) -1\/4 (c) 0.4 (d) 72 (e) -2 (f) 1 (g) -43\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s - 10. Let o be f(7). Let z(n) = 3*n**2 - 3*n + 4. Calculate the remainder when z(o) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (-1885)\/380)*40\/(-15)*(-14)\/112.\nAnswer: -1\/76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 0. Suppose 4*d - 5*i = -311, -d - 4*d - 4*i = 358. Let k = 293\/4 + d. Is z bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2710468767\/1404302 + 207023\/3502. Let d = p + 1871. Which is greater: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -620?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(40\/25))\/((-5)\/(-2)*2)*-44.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (444\/370)\/((-2)\/(-35)). Suppose 9*w + g*w - 90 = 0. Let n = 7 - -3. Solve -5*k = -3*d - n, 4*d - w*k - 1 = 4 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 1:37 AM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4 = -2*h, 0*h - 2*z = 5*h + 16. Is 208 + 3*h\/(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 487, 1697, 4069, 7993?\nAnswer: 13859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 25539, 51280, 77021?\n\"Answer: 25741*b - 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13433?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4*m**2 + 6*m. What is the least common multiple of g(-2) and 6\/4*16\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + g**2 + 4. Suppose 0*s = 3*s. Suppose -12 = -5*d - y, 28 = 5*d - 5*y - 2. Calculate the remainder when x(s) is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 4*v**2 - 9*v + 19. Let d be p(-6). Solve 4 = 5*i - d for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, u: 5, t: 3}. What is prob of sequence uut?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 159356 and 557746.\nAnswer: 1115492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(1\/20)*i))\/(i\/i**18)*(i\/(i**17\/i*i)*i)\/i*i*i*i*(((i\/(i*i**(7\/3)))\/i)\/i)\/i*i assuming i is positive.\nAnswer: i**(-23\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 6*c**2. Let i(r) = 801*r. Calculate i(o(h)).\nAnswer: 4806*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/63069165 and -89\/405.\nAnswer: 189207495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -38, -52, -66, -80, -94?\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 398330 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/4535 and 93\/368242.\nAnswer: 1841210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34217*j = 34329*j - 2128 for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.081108 - -0.09215. What is c rounded to four dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 37 = 3*t + 14, 3 = 3*t + 3*q. Let p be 15\/3 + 1\/1. Sort t, -3, p in ascending order.\nAnswer: -3, t, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4*j = 11317, 11*f - j - 56669 = 6*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*w = 24*w + 1898. Let q = 1020\/7 - w. Sort 1\/13, q, 5 in descending order.\nAnswer: 5, 1\/13, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4127135.\nAnswer: 5, 29, 28463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*f - 43*f + 140*f - 43*f - 6*f - 38*f.\nAnswer: -18*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {e: 3, c: 4, v: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**5*m + 677*a**3*m**2 + 12*a*m**2 + 2*a*m + 4*a + 3 wrt a?\nAnswer: -20*a**3*m + 4062*a*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from mizhimza?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 438 - 395. What is the first derivative of 61*a + l - 40*a + 50*a wrt a?\nAnswer: 71","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -278, 162, 896, 1924, 3246, 4862?\n\"Answer: 147*z**2 - z - 424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -5*h**2 - 29*h + 5. Let c be d(-6). Let b be 2 + 40\/(-8) + (-13)\/c. Let p be 54400002\/(-4) - b\/(-20). What is p rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zueezuuuzuuuzeeeu. What is prob of picking 1 e and 2 z?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1408)\/(-3630) - 2\/6. Let i = -9134507\/257730 - 85\/25773. Let v = i - r. Calculate the common denominator of v and 59\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -97558 by -2.\nAnswer: 48779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2. Let g be ((-7)\/21)\/(2\/(-3)). Let v(d) be the first derivative of -1 + g*d**2 + 0*d. Determine v(t(l)).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*v - 12 = 54*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1011000111000111 (base 2) to base 6\nAnswer: 550411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 283 a factor of 25592822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*u - 33 = 17*w - 19*w, 4*w + 8*u - 14 = 6*u for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 21 = 12. Suppose 4*z - i - 2 = -5*a, 20 = 2*z - 2*a. What is the remainder when 12 is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42 + 10 + 32 - 39.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 306 - 294. Let b be l + 14\/2 + -4. Calculate the highest common divisor of 15 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 161\/193680 and -52\/243.\nAnswer: 5229360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) - sqrt(180)*1)*6)\/(-2*sqrt(640)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.175 (b) 18 (c) -5\/4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18855657289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((sqrt(95) + 1*sqrt(95) + sqrt(95) - sqrt(95) - sqrt(95)) + sqrt(95))*-6*-5)\/(-6*1*sqrt(320)).\nAnswer: -5*sqrt(19)\/4 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25346 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 3*d - 18 = 0, -d = -119206*u + 119211*u - 14 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 5445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 7 + 7)*(-1 + 1 - 2)*(k**2 + 3*k**2 - 2*k**2) + (0 + 4 - 3)*(-2*k**2 - k + k) + 4*k**2 - 2*k**2 - k**2.\nAnswer: 19*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26115729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1914692 is divided by 3784?\nAnswer: 3772","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 31*y - 42. Suppose 18*r - 335 - 97 = 0. Is 14 a factor of m(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a - 1593 - 3*a + 1593 + a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*h**3*l**2*z - 301*h**3*l*z + 418*h**2*l**2*z - 5*h**2*l*z + 2*h*l**2*z - 2*h*z wrt h.\nAnswer: -126*l**2*z - 1806*l*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/(-3)*33*-1. Suppose r = q - 47. What are the prime factors of q?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2090656 + -2090655.9060041. Let i = 90 + -89.906. Let g = x - i. Round g to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.017828*0.0715.\nAnswer: 0.001274702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 9*s**2 + s - 16. Let p be n(6). Let a = p + -175. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-4)*((-5)\/(-3) + -1).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*f**4 + 215*f**3 + 50*f**2 = 0. Calculate f.\nAnswer: -2\/9, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.3 take away 476479100?\nAnswer: -476479067.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 6*g - 10. Let z(n) = 2*n**2 + 3*n. Let s be z(-3). Let t be f(s). Let c = 50 + t. Calculate the remainder when c is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1521183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.00142 (b) 32 (c) 0.07 (d) -12 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of t**3\/3 + 37*t**2 + 146*t. What is the remainder when u(10) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 2 - 3 - w + (-2*w - 5*w + 2*w)*(4 - 3 + 1) in the form d + c*w and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49 + -33. Let o(g) = g**3 - 15*g**2 - 16*g. Let i be o(h). Let l(a) = a**3 - a + 16. Determine l(i).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 44*y = 208, -658*y + 653*y - 13 = -4*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of 3*m**2\/2 + 1. Let u be v(5). Let j be (-2 - (1 + -4)) + 4. Solve j*b - 3*f = -u, 3*b + 2*f - 15 = -f for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 9 + 20)*(-3 + 3 - o + (-4 - 3 + 5)*(-2*o - o + 5*o) + 8*o + 0*o - 4*o).\nAnswer: -17*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13450 divided by -50.\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2 + 10*t - 101. Calculate z(-9).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -21*f + 446. What is w(20)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 6*p**2 - 24*p + 8. Determine j(9).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10953 to the power of 1\/2, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22257330*c**3*q**2 + 37*c**3*q + 67*c**2 - 2*q + 107 wrt q.\nAnswer: -44514660*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*(x\/x**(-1\/15))\/x*x*x)\/x*x**(-5\/2))**(-1\/7)*((x*x*x*x**(-2\/19)*x)\/(x\/(x**(-1\/6)*x*x*x)))\/((x\/(x*x*x**(-1)))\/x)**(2\/29) assuming x is positive.\nAnswer: x**(330704\/57855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.31 - -0.01. Sort 3, 5, c in decreasing order.\nAnswer: 5, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - l = -15, -f + 11 = -2*f + 5*l. Let z = 10 - 7. Suppose 0 = -z*n - n + f. Calculate the remainder when 2 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24422674 to the power of 1\/4, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205*g - 4*m - 13020 = -208*g, m + 13029 = 3*g. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -4, 0.2, 0.486, -292?\nAnswer: 0.486","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 7:48 AM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7008 divided by -584?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 769*d + 2. Let l be p(8). Let k(y) = -6154 - y + l. Let h(v) = -6*v**2. What is h(k(s))?\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/5 + 341*p**2 - 725903*p\/5 - 727609\/5.\nAnswer: -(p - 853)**2*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 407782440 and 32760.\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -8 (b) -2\/3 (c) 0.2 (d) -5 (e) 1.12 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81, 45, 15, 3, 21, 81?\nAnswer: 195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2496316*d**3 + 13*d**2 - 32628*d - 289.\nAnswer: 14977896*d + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 3:07 AM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 145 and 319?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*i + 3*i - i**2)*(-31 + 75 - 23) + 5*i**2 - 6*i**2 + 4*i**2 + 0*i - 2*i**2 + 0*i in the form x*i**2 + s + w*i and give x.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 6:32 PM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23254.\nAnswer: 2, 7, 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mheedgeeemdhmehewgd. What is prob of picking 1 d, 1 w, 1 m, and 1 h?\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40189023?\nAnswer: 3, 7, 127, 5023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 8.340087 millennia?\nAnswer: 83.40087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1960395982 to 5 dps.\nAnswer: -0.19604","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 14610+-72568\nAnswer: -57958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 2234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 204*r + 5. Let k be t(-1). Let b = 423 + k. What is the greatest common divisor of b and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.3, -3, -0.106, -0.02 in decreasing order.\nAnswer: 2, 0.3, -0.02, -0.106, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -0*x. Suppose -f = -z + 2 - 1, -3*f - z + 9 = x. Suppose -3*k + f = -k. Let h(d) = 3*d**3 - d**2. Determine h(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-3))\/j)\/(((j*j**2)\/j)\/j)*(j*j\/(j\/j**(-2\/7)))**(-43) assuming j is positive.\nAnswer: j**(-201\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -435330 divided by 5\nAnswer: -87066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 980 and 98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) + (1*sqrt(3520) + sqrt(3520) - sqrt(3520)) - (1*sqrt(220) - sqrt(220)))\/((sqrt(396) + 3*1*sqrt(396) + sqrt(396))*2).\nAnswer: 3*sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 372773647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(2\/3))\/d)**(-2\/9))**(-9\/5)*(d\/(d\/d**(-7))*d**(1\/9)*d*d)**44 assuming d is positive.\nAnswer: d**(-9692\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(-18)*199\/(1393\/126)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -371, -745, -1123, -1505, -1891, -2281?\n\"Answer: -2*n**2 - 368*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1028, 1575, 2122?\nAnswer: 2669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 194 - 132. Let z = y + -55. Suppose 0 = m - z*m + 254400000. What is m rounded to the nearest one million?\nAnswer: 42000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80 and 252080912.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -8*z + 5*z - 8 + 2*z. Let j be q(-10). Factor -2*k**3 + k**3 - k**j + 3*k**3 - k**2.\nAnswer: 2*k**2*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -663*s = -83*s + 167*s - 22410 for s.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 61 = -155. Let n(x) = 2*x**2 + 5*x - 4. Let l be n(-6). Let o = a - l. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*f = -111*f + 280. Solve r + f*r + 16 = -3*c, 0 = -2*r - 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 k when two letters picked without replacement from wbhbhhyhhbhbhkh?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 136, 5, 0, -244, -2, -3, 3 in decreasing order.\nAnswer: 136, 5, 3, 0, -2, -3, -244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 49 = 9*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (184375\/2950)\/(5\/2).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-111)\/(-481)*-923)\/(18\/6)\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3382032 is divided by 114?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-810)\/(-50) - 16)\/(10\/(-60))\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -2\/967, 520, -1, 5 in ascending order.\nAnswer: -1, -0.3, -2\/967, 5, 520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.17 + 2.699.\nAnswer: 2.529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-16)*(5 + (-2 - 0)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3847*l - 1831*l - 1893*l.\nAnswer: 123*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46480 and 1120.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4*(sqrt(99)*4)**2*6*6*-5.\nAnswer: -1140479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2977492, -11909978, -26797456, -47639926, -74437388?\nAnswer: -107189842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**2 + 74*j - 571. Determine q(26).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26.32 + 30.5.\nAnswer: 56.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 9*h - 242. Suppose 4*r = 2*r + 44. What is the least common multiple of r and y(28)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 306 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = c - 210. Let o = 2928\/11 - c. Factor o*n**3 - 2\/11 + 2\/11*n**2 - 2\/11*n.\nAnswer: 2*(n - 1)*(n + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2268 and 2376864?\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y + 10 = -8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 936, 7409, 24982, 59205, 115628, 199801, 317274, 473597?\n\"Answer: 925*x**3 - 2*x + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -113851, -227374, -340897, -454420, -567943?\n\"Answer: -113523*j - 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 2*p = -12, 2*t + 3*p = 6*t + 23 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + f - 1. Let q = 2 + -6. Let n(k) = -2*k**2 - 2*k + 4. Let b(s) = q*y(s) - n(s). Find the second derivative of b(w) wrt w.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(3\/(90\/4)). Suppose 5*q - s - 55 = 0. What is the greatest common divisor of 119 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34398791 is divided by 21952.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 1\/5, -2\/127 in decreasing order.\nAnswer: 1\/5, -2\/127, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9630529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 117350300210 and 5?\nAnswer: 117350300205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3604.74 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.4 - -11.4. Let z = -3 + 9. Let f = k - z. Is f less than or equal to 1\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*f - 0. Let u be 5\/2 + 1\/2. Sort f, -2, u.\nAnswer: -2, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27219885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 40 - 52 = 0. What is the remainder when 17 is divided by (304\/(-24) + 6)\/(4\/j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 76429622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.03, 0.4, -28, -0.3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 68.43617g?\nAnswer: 0.00006843617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 4*b + 284, 4*b = -2*x + 2*b + 180. Let z = 97 - x. Solve -n - 4*h - 3 = 0, -3*n + 3*h + 1 = -z for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 5, 2, -6449, -2, 3, 1 in ascending order.\nAnswer: -6449, -2, 1, 2, 3, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 26 - 23)*(j - 2 + 2 + (4*j - 3*j - 2*j)*(-3 + 2 + 3) + 2*j - j - 3*j) as d + c*j and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-24) + (-403)\/372?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78, -82, -82, -78, -70, -58?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20330 is divided by 124?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1476 and 2121156.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b + 1. Let p(u) = 4*u - 4. Let z(l) = -l**2 + 35*l - 40. Suppose -2*x = 5*o - 73, -9*x + 2*o + 100 = -6*x. Let n be z(x). What is n*v(w) - p(w)?\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1\/3 (b) 0.2 (c) -3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dhdd when four letters picked without replacement from {h: 4, q: 1, s: 1, v: 2, d: 4, m: 2}?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 11*h + 112. Let i be u(-7). Calculate the highest common factor of i and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -133*y**5 - 5*y**3 + 246*y + 146*y**5 + 69*y**5 wrt y?\nAnswer: 1640*y**3 - 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6826*o**3 - 363*o**2 + 10?\nAnswer: 40956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15223 is divided by 2464.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1322050 and 0.03.\nAnswer: -39661.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -193*b + 195*b - 4. Let y be b*2913\/18 - (-1)\/3. Calculate the greatest common divisor of y and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 10*j**3 - 2*j**2 + 7*j + 7. Let w(d) = 3*d**3 - d**2 + 2*d + 2. Calculate -4*n(v) + 14*w(v).\nAnswer: 2*v**3 - 6*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/46755 and 167\/280530.\nAnswer: 280530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -5*a**2 - 4*a + 3. Let f be t(3). Let k be (-4)\/18 + (-12)\/f. Is (-2 + 1)*k - -133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-17)\/(-153) + 1 + 20\/(-18). Solve d + 5 - 10 = t for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*r**3 - 367*r**2 + 242*r - 32.\nAnswer: (r - 16)*(2*r - 1)*(11*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -323334 (base 5) to base 4.\nAnswer: -2231112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2\/11 (b) -5 (c) 0.007 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 4 - 90*w**2 + 80*w**2 + 0.\nAnswer: -10*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2744 + 16168 = 6304*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*r**2 - 1260*r + 79380 = 0. Calculate r.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -6748715?\nAnswer: -1\/6748715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5781)\/(-423) + 3\/9.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -n**3\/3 - n**2\/2 - n. Let d(h) = -2*h**2 + 9*h + 3. Let j be d(5). List the prime factors of z(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 539213*c**4 + 3056*c**2 + 74.\nAnswer: 12941112*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6981 = -326*g + 287*g. What is the highest common divisor of g and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9090583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -338 - -480. Let a = -134 + f. Which is bigger: a or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -19409, -77631, -174667, -310517, -485181?\n\"Answer: -19407*a**2 - a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - 5*g**2 + g. Let i be d(5). Suppose -5*h - 22 = t, t - i - 13 = 5*h. Let n be 3 + 0 + (4\/18 - 3). What is the closest to n in h, 1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -207, -6, 20, 0, 5 in descending order.\nAnswer: 20, 5, 0, -6, -207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199022617?\nAnswer: 199022617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-2 + 4) + -769. Let h = z + 1235. Let v = h + -279. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 74 and 16946?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (3 + (11 - 4))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20144, -2, 129, 0.\nAnswer: -2, 0, 129, 20144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -5*o**2 - 96*o - 18. Let y be d(-18). Suppose -6*j + y = 528. Which is smaller: j or -72?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 4*v - 24, 3*a - 3*v + 80 = 104. Solve -12*k = -a + 44 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.2 - 0.1. Let r = -1.1 + f. Which is the closest to r? (a) -1 (b) -2\/5 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31854, -32153, -32452, -32751?\nAnswer: -33050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1547641\/920 at most as big as 1683?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 105\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t**(-7)*t)\/(t*t\/(t**6\/t)))\/(t*t**3)**(-3\/14))**(2\/9))**(-4\/5) assuming t is positive.\nAnswer: t**(8\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31247?\nAnswer: 31247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 210 - 120. Suppose 585 = -5*c + w. Let p = -75 - c. Is p greater than 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17.9 + 18.4. Suppose 0 = 4*y - 5 + 25. Sort -0.3, y, l, -2.\nAnswer: y, -2, -0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121101220 (base 3) in base 12?\nAnswer: -6b06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6326 - -31632\/5. Which is the closest to 2? (a) -4\/9 (b) -2\/5 (c) x (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = 2*a + 4*k, 51 = 2*a - 3*a + 3*k. Let h = 148 + a. List the prime factors of h.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 4 = 5*l. Suppose 24 + 20 = 4*k. Is k - (-2 + l)\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*t**3 - 470*t**2 + 232*t**2 + 238*t**2.\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1103800 = 4664*t + 6374*t for t.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -221018 (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**5*v - 20188*k**5 - k**2 + 8*k*v - 11*v + 16 wrt k?\nAnswer: 60*k**2*v - 1211280*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(17) + 1 + sqrt(17))**2 + 3 + -3 + (sqrt(1377) - ((sqrt(1377)*-1 - sqrt(1377))**2 - sqrt(1377))))*2 + -5.\nAnswer: -10475 + 52*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 368*b - 3549 = -12013 for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/77*3*-1.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1325, 10575, 35679, 84563, 165153, 285375, 453155, 676419?\n\"Answer: 1321*q**3 + q**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2177 + 2173 + -27 + 1\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 4)*(46 + 24 - 71 - 2532*k**2).\nAnswer: -5064*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1284*u**3 + 0 - 23*u**2 + u - 3308*u**3 - 1 - 1389*u**3 - 852*u**3 wrt u?\nAnswer: -25590","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*b - 17*b + b**3 - b**2 - 2*b**4 as o*b**4 + c*b**2 + v*b + w*b**3 + f and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 5*w**3 + 11*w**2 - 2*w - 53. Let d be s(5). What is the highest common factor of 72 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1242749016 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*t + 20 = -44*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7160 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36\/1669145 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-807)\/1883 + (724\/6)\/((-14)\/(-537)) and 16?\nAnswer: 18512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1590 + 14916 = -515*k - 26844 for k.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -673 - -16827\/25. Let r = 386.354 + -386. Let n = r + -0.054. What is the smallest value in k, 1\/4, n?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/15*((-36)\/(-4))\/3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*(-11)\/3*(-24)\/(-16). Suppose -q + 287 = d. What are the prime factors of q?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x**2 + 2*x + 4 - x**3 - 1 - 3*x. Let w be k(4). Let q = -0.6 + 0.9. What is the third smallest value in w, q, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f = 300 - 251 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18\/(-8) + 2 - (-90)\/8. Suppose l*o + 15 = 16*o. Suppose -4*u + 4559 = 5*q - 2*u, o*q = 2*u + 2729. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166898601 is divided by 49?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1535\/12 - -411\/4. Calculate the common denominator of j and 47\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-1 + 5\/4). Suppose -483 = -26*h - 171. Let v be s\/(-17) - h\/(-102). Let o(a) = -a**2 - a + 2. Determine o(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 598 a factor of 71993220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4656028977 - -4656028728.50001389. Let t = p + 248.5. Round t to six dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 37003908?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 - 3)*(-33*m**3 + 54*m**2 - 54*m**2) + 4*m**3 - 6*m**3 + 0*m**3 as c*m + o + v*m**3 + k*m**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -228 - -231. Calculate the least common multiple of q and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 8:24 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 274026 to the nearest integer?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h + 0*h + 418 = -38*h for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.085 take away 218.6170563?\nAnswer: -218.5320563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r**3 + 3*r**2 + 6. Let w(v) = 1. Determine -2*f(p) + 22*w(p).\nAnswer: 8*p**3 - 6*p**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.6 - -0.62. Let m = j - 0.14. Let f = 0.32 + m. What is the biggest value in -3, f, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 10*r**2 - 325*r + 162. Let q be p(32). Let f be 1\/(6\/11) - 2. Which is the second biggest value? (a) f (b) q (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**3 + 4*y**2 - 4*y**2 + (-y + y - 2*y + 11)*(-y**2 - y**2 - y**2) + 0*y**3 + 3*y**3 - y**3.\nAnswer: 6*y**3 - 33*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2452, 9788, 22006, 39100, 61064, 87892?\nAnswer: 119578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m + 1162*m**2 - 2*m - 1161*m**2 - 2. Let i(q) = -q**2 + 11*q - 8. Suppose 3*k + 2*k = 50. Let l be i(k). Calculate g(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 + -0.5. Let t = 3 - 3.01. Let g = t + -0.39. Is l smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d**3 - 8*d**4 + d**3 - 2*d**3)*(-4 - 1 + 3) to g*d + x + f*d**2 + b*d**3 + h*d**4 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52235 and 310?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1864 is divided by 105.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -91 - 26*t**2 - 26*t**2 + 61*t**2 + 0*t**2 + 0*t**2 - 4*t**2 + (2*t - 2*t - t)*(-2*t - 1 + 1).\nAnswer: 7*t**2 - 91","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7378897.\nAnswer: 19, 388363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f + 732*f = -213*f + 3828. Factor -3\/2*c**2 - 3\/4*c**5 + 9\/4*c**3 + 0*c + 0*c**f + 0.\nAnswer: -3*c**2*(c - 1)**2*(c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 423*z**2 + 307*z**2 + 1044*z + 74*z**2 + 243*z**2 - 152*z**2 wrt z.\nAnswer: 1790","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1599*x + 10104 = -4462 - 36602 for x.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 12*l**2 - 2*l - 86. Give b(11).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33 - -37. Put 0.3, -3, -2\/11, w in descending order.\nAnswer: w, 0.3, -2\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + 12*j + 32. Let v be r(-12). Suppose 3*a - 4 - v = 0. Calculate the remainder when (-4)\/16 - (-845)\/20 is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i**2 - i - 1. Let g(z) = -z**2 + 13*z - 7. Suppose 0 = -4*v + 3*v + 4*q - 8, -32 = -v - 4*q. Let t be g(v). Is a(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**4 - 6136740*g**3 - 6136764*g**2 + 30683732*g - 18410232 = 0. Calculate g.\nAnswer: -3, 1, 1534186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**3 + 87*l**2 - 142*l + 665. Calculate m(42).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/3)\/(3\/2). Which is the nearest to -0.1? (a) 3 (b) 1\/3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13797517.\nAnswer: 3229, 4273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4*r**2 + 267*r - 178. Does 129 divide u(-70)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.32, -7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (0 - 33 - (124 + -115))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 19, -10, 3 in decreasing order.\nAnswer: 19, 3, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.005 - -4.1. What is j rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9380080?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24043, -4, -3 in descending order.\nAnswer: 24043, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-11) - (-675)\/99. Suppose 3*a - 61 = -k. What is the remainder when a is divided by 1\/(-4 - 105\/(-25))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s - 3. Give v(13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*p = -144, 0 = -2*r + 30*p - 35*p - 75. Sort -2, -3, r, 3.\nAnswer: r, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46132 or 46126?\nAnswer: 46126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 9*y**2. Suppose 3*v - p = 37, -4*v + 61 = -5*p - 3. Let r(s) = -26*s**2. Let l(a) = v*h(a) + 4*r(a). Let o(t) = -t. Calculate o(l(g)).\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1)\/(x\/((((x\/(x\/x**(-10)))\/x)\/x)\/x)*x))**(-50)\/((x*x**(1\/3)*x**(-4))\/((x**(4\/9)*x)\/(x**(-2\/9)*x))) assuming x is positive.\nAnswer: x**(2410\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.04 - -0.07. Let k = a + -0.19. Let t = -0.06 - k. Put 5\/3, t, -1\/6 in descending order.\nAnswer: 5\/3, t, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-6))\/((-22)\/(-16)). Let l = g + 137\/77. Find the common denominator of 273\/924 + 3\/(-4) and l.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*k - 16*k + 2*k)*(2*k**2 - 3*k + 3*k) - 20*k**3 + 19*k**3 - 34*k**3)*(-1 + 1 + k) as g*k**3 + b*k + u + n*k**4 + x*k**2 and give n.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 273582014 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 4:54 PM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 6*x - 2 = 0. Let c = 5 + x. Calculate the remainder when c is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83785 is divided by 71.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**7*o**(3\/4))\/((o\/o**7)\/(o*o**(-2)*o))*o**(-2\/23)*o**(-2\/15)*(o*o**6)\/(o**2*o) assuming o is positive.\nAnswer: o**(24191\/1380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 2574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 17. Let f = 843\/58 - 1\/29. Find the common denominator of f and 3\/(-10)*a\/3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = -3*s + 4 - 1 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p - 5. Let t be f(7). Suppose -t*d + 17 = -100. What are the prime factors of d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m + 28. Let l be n(-6). Solve 2*p + 8 = l for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/5*p**2 + 0 - 123\/5*p.\nAnswer: -3*p*(p + 41)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-eight fifths of a hour?\nAnswer: 34560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 239 by -2.\nAnswer: -239\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 20*m. Let h(t) = -8*t + 11. Let o(c) = -3*c + 4. Let z(g) = -4*h(g) + 11*o(g). Give x(z(j)).\nAnswer: -20*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*b - 62*b + 435 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.445 plus 5020712.39?\nAnswer: 5020710.945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -4*z**2 - 16*z + 37. Calculate y(3).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7418091*t**4 + 7702511 wrt t?\nAnswer: 29672364*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, c: 10, x: 4}. Give prob of sequence xcxl.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31696 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*h = -84*h + 1192. Is h a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1174880 is divided by 4859.\nAnswer: 3861","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5*(4 + (-69)\/15) + 6. Solve 22 = b*f - 4*k, -5 = -5*k - 25 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3\/643 - -2497\/16075. What is c in 2\/25*c**5 + 4\/25*c**4 + 0*c**3 - f*c**2 - 2\/25*c + 0 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24802 + 4*p**2 - p**2 + 24802.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*t + 22 - 107 = 31 + 360 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((49\/1029)\/(-2 + (-52)\/(-14)))\/((-198)\/264).\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 202\/27 and 8 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 1, 2, -0.1, 2.4, -2?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a + 6393 - 6393.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n + 3. Suppose 0 = 4*a - 12, 7*m - 75 = 4*m + 3*a. Let w(t) = m*t - 12*t + 16 - 12*t. Determine 16*r(o) - 3*w(o).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 - a2c60b?\nAnswer: -a2c614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m + 6. Let x be t(-5). Suppose 5*z = 9 + x. Solve y = z*n + 9, 2*y = -n + 3*y - 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00011186 rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 309630 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 29, 0, -1, 1 in ascending order.\nAnswer: -3, -1, 0, 1, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) -2 (c) 3\/2 (d) 0.3 (e) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*k - 86588 = -7*k + 200452. Does 4 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43431941*2\nAnswer: 86863882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/(-24)*(-99)\/44?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9338 + -9338.0000006067. What is b rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(2835) + sqrt(2835) - sqrt(35)) + sqrt(385)\/(sqrt(22)\/sqrt(2)))\/(sqrt(1008)\/sqrt(4) + 1*sqrt(7)*-1).\nAnswer: 27*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -332322 (base 5) to base 14.\nAnswer: -4319","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 191099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/(-10) - 2\/4. Let w(o) = 28*o**2 + 85*o + 14*o**2 + 43 - o**2 + 2*o**3 - 3*o**3. Let r be w(43). What is the nearest to -2 in q, r, -1\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 543*m**4\/2 - 349155*m**3 + 1401054*m**2 - 1423044*m + 30768 = 0.\nAnswer: 4\/181, 2, 1282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 564 * -408.\nAnswer: -230112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 53839*r**2. Let h(d) = 2*d. Determine h(y(o)).\nAnswer: 107678*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-5)\/t)**(-3\/34) assuming t is positive.\nAnswer: t**(9\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*y = 2*y + 7, 4*g = 3*y - 3. Solve 2*j - 5 = -g*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, 7, -4, -5501\/4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m**3 + 5. Let u(b) = -8*b**3 - 14. Suppose 2*h = 2*f - 0*h + 18, 4*h + 76 = -4*f. Give f*z(i) - 5*u(i).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.0649 + -23.9351. Suppose 4*v + 2 = -2. Sort v, -0.2, q in descending order.\nAnswer: -0.2, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50255902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 889 <= 765?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + 0)\/((-9)\/(-30)). Let m be 0 + -2 + (1 - -1) + 16. Let f = m - d. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -56\/117 - -4\/117. Let d = 0.2 - 0.1. Which is the nearest to d? (a) k (b) -0.3 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-15) + (-106662)\/(-10). Let q = -2666 + d. Round q to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -170 and -508\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5152520?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6286857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 6. Let r(v) = v**2 + v. Let j be r(0). Differentiate 0*x + j*x + 0*x + 2*x**3 - n wrt x.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/9 and (56\/(-30) - 0)\/((-418)\/(-95)).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, c: 1, r: 1, f: 4, s: 1, x: 4}. Give prob of sequence rxx.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(187)\/sqrt(11) + sqrt(170)\/sqrt(10)*-4.\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.09 and -279.\nAnswer: 25.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 33 = -l, -3*j - 4*l = j - 28. What is the highest common factor of j and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yeeey. Give prob of sequence yy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 7:06 PM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225414 is divided by 81.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -1455 + 2*m**3 - 2*m**4 + 51*m - 3*m**2 + 1455 in the form a*m**2 + v*m + i + x*m**3 + p*m**4 and give v.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 267781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 9*q**5 - 6*q**4 - 120*q**3 - 30*q**2 + 111*q + 36 = 0?\nAnswer: -3, -1, -1\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 47?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 520542989 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (14\/49)\/(8*9\/1008). Let b(z) = 11*z**2 - z. Let q be b(3). Find the third derivative of -96*d + q*d + 13*d**u - 2*d**2 wrt d.\nAnswer: 312*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*1 - (5 - 12). Solve -h = 4*h + w for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01189295 to 4 dps.\nAnswer: 0.0119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + 0. Is (3\/w)\/(7\/175) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l - 3. Let z(v) = 3*v + 2. Let x(r) = -6*n(r) - 7*z(r). Let k be x(-6). Suppose h - 5*s - 11 = 39, -2*h = 4*s - k. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2816.1 + 2354.1. What is the smallest value in -6, 5, n, 0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - -47) + 0\/1. Let c = m - 448. Let l = -197 - c. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 - 2.2. Which is the closest to r? (a) -5 (b) 0.2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/183 and -49\/146217.\nAnswer: 146217","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-161366790)\/2123095 + (3 - -73)?\nAnswer: -2\/367","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9324 is divided by 29?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -a**7\/1260 + a**6\/120 + 5*a**4\/12 + 21*a**2. Let w(g) be the second derivative of j(g). Factor w(u).\nAnswer: -2*u*(u - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(175)*3 + sqrt(175))*1 - (sqrt(175) + (5 + sqrt(175) + 0 + sqrt(175))**2)).\nAnswer: -2175 - 255*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, -2, 0 in descending order.\nAnswer: 43, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 20 = 5*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 283854 = -2*o, -4*o - 48975 + 616708 = -3*z. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**4\/11 - 1234744*b**3\/11 - 17321549752*b**2 + 11435556861120*b\/11 - 171550023580800\/11 = 0?\nAnswer: -308716, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 1155 = 405. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -2\/11, 0.3, 263\/2, 44, 2\/9?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 6*b**2 - 51*b - 33. Let a(w) = 6*w**2 - 51*w - 37. Let l(u) = 5*a(u) - 6*z(u). What is l(9)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -5859*f**2. Let r(q) = 2624*q. Calculate g(r(w)).\nAnswer: -40341417984*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -u - 5*o, -2*u + 0*u + 5*o + 150 = 147 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l = 54*l - 128898. Is l a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/4 and 45\/3064.\nAnswer: 3064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1436*c - 353*c - 374*c - 367*c - 1 - 367*c.\nAnswer: -25*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 241, 951, 2131, 3781, 5901, 8491, 11551?\n\"Answer: 235*s**2 + 5*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2268 - -30?\nAnswer: 2308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 17292342.\nAnswer: -2\/8646171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**3 + 3 + 2*u**2 - 2*u - 1 + u + 2*u to b*u**2 + z*u + m + k*u**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4929*o = -5212*o + 1415 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6\/5 of a minute?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -112*y**4\/9 - 1508*y**3\/9 + 179828*y**2\/9 + 275768*y + 195520 = 0.\nAnswer: -40, -13, -3\/4, 282\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -56*k + 58*k + 14. Let b(z) = -z - 6. Let n be b(k). Let r be n\/(6\/(-5) + 1). What is the second biggest value in 1\/2, -0.4, r?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/5)\/(i*i**0))\/(i**(2\/3)\/(((i*i\/(i\/(((i*i\/i**(-2\/7))\/i)\/i*i*i)))\/i)\/i*i*i)) assuming i is positive.\nAnswer: i**(233\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30998 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 25*g**2 + 86*g - 53. Let i be v(28). What is the second derivative of 0*y**3 - 6*y**5 + 0*y**i - 257*y + 37*y - 16*y**5 wrt y?\nAnswer: -440*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ftic when four letters picked without replacement from {b: 2, f: 1, h: 3, t: 2, c: 1, i: 3}?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*j**3 - 32*j**3 - 7*j**4 + 12*j**2 - 15*j**2)*(-5*j - 15*j - 27*j).\nAnswer: 329*j**5 - 47*j**4 + 141*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 42 = 6*f. What is the remainder when 39 is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 16 = i - 5*i, -5*k + 3*i - 19 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.3 - -2.3. What is the smallest value in -2\/7, 4, t, -0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3122.2 - 3122.39. Which is the closest to p? (a) 0.22 (b) 3\/5 (c) -0.03 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3225\/4 - 99\/4*w**2 - 1215\/4*w + 3\/4*w**3.\nAnswer: 3*(w - 43)*(w + 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45634?\nAnswer: 2, 22817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*q - 12*q = 75. Let v be (-12)\/(-6) - 2\/2. What is the remainder when (v\/q)\/(6\/522) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 64792 and 24.\nAnswer: 194376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -125782091 + 125781576.000255. Let c = j - -515. What is c rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1054494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -79.\nAnswer: -4\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 21*x - 63*x + 32*x. Which is bigger: x or -9\/2344?\nAnswer: -9\/2344","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 12*r - 8460 = -5*u, 6768 = 4*u - r. Calculate the remainder when u is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of x**8\/20160 - x**7\/1680 + x**6\/240 - x**5\/30 + 2*x**2. Let i(t) be the third derivative of g(t). Is i(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u + 7. Let m be a(17). Calculate the remainder when (m\/(-8))\/(9\/(32*9)) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7056 < 114?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, j: 1, v: 1, t: 1, l: 3}. What is prob of picking 2 t, 1 j, and 1 v?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/4 and 65\/825986578.\nAnswer: 1651973156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -2b2?\nAnswer: 2ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (501*r**2 + 180672*r - 180672*r)*((0*r + 3*r - 5*r)*(-4*r + 2*r + r) - 2*r**2 + 4*r**2 + 0*r**2).\nAnswer: 2004*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b - 15, 12 = 4*v - 5*b - 29 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 9*z - 211252 - 425129 = 0. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 22\/(-143) - (-186)\/26. Suppose -3*o - q*o + 3*o = 0. Let a be 1 - (8 - (-1)\/1). Sort 4, a, o in descending order.\nAnswer: 4, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*g = -354, -5*g + 482 - 47 = -5*z. Calculate the common denominator of (-71)\/z + 14\/(-35) and 47\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddudddduquduuud. Give prob of sequence quud.\nAnswer: 5\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10618 is divided by 118?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 0*m + 5*m + 12, -2*m + 16 = 3*k. What is the smallest common multiple of 450 and k?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-482)\/(-8) - 1\/4. Suppose -x = -6*x - l. What is the units digit of ((-16)\/x)\/(2\/12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i + 2*i**2 - 42*i**2 - 6*i**2 - 30*i**2.\nAnswer: -76*i**2 + 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1116 = -26*s + 30*s - 5*z, 837 = 3*s + 2*z. What is the remainder when s is divided by 56?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -907*v**3 + v**2 + 4*v + 3. Let d be (-11)\/(-4) + 8\/32. Suppose d*c + 4 = 3*x - 8, x - 19 = 4*c. Is s(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1671 - -0.1371. Let q = 0.4 + -0.2. Which is the closest to -2\/5? (a) q (b) o (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -452 = -2*q - 4*z, 0 = -8*z + 11*z + 15. What is the greatest common factor of q and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1158828 and -0.2.\nAnswer: -0.02317656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2139*m**2 + 4 + 3501*m**2 - 1823*m**2 - 4.\nAnswer: -461*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 10*w - 182. Let c be u(19). Suppose 0 = d - 2*v - 15979, c = -v + 4. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -99 (base 14) to base 7\nAnswer: -252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 610 and 2806.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 2 + 7 - 8)*(51*l + 34*l - 10*l) to y*l + t and give y.\nAnswer: -525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -73 + 88. Suppose -4*r = 2*y - 0*y + 2, -3*y = -3*r - s. Solve -v = y*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000022147372 rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/1285408 and -1\/7069744?\nAnswer: 14139488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*z = 89*r + 31*z - 821, 3*r + 2*z = -z + z + 19 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*l = 29*l + 20 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (58*i - 29*i + 28*i)*(24 - 24 - 7*i)*(-2 + 4 + 0)*(-3*i**2 + 2*i**2 - i**2) to o*i**3 + b*i + h*i**2 + p*i**4 + c and give p.\nAnswer: 1596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/3 - (-8)\/6. Which is the nearest to n? (a) -5 (b) -0.5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f = -16*f - 7*f + 2155895. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of f**3 - 10*f**2*t - 170*t wrt f.\nAnswer: 3*f**2 - 20*f*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 147 (base 14) in base 15?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.47082 to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10648, -21350, -32052?\nAnswer: -42754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1816*n**3 - 3*n**2 + 5*n + 129515766 with respect to n.\nAnswer: 5448*n**2 - 6*n + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1082 - 1?\nAnswer: -1083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78.55054 millennia to decades.\nAnswer: 7855.054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -311 + 53 = -6*p. Let d = p - 40. Suppose -d*a + 39 = 24. Solve 0*x + x = a for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -13*r**3 - r**2 + 1. What is a(1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132\/99*(-18)\/24.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 21 + 23. Solve -v = -1, 3 = 2*g + 4*v - k for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 28263*t**3 + 2*t - 28261*t**3 - 6*t - 2*t**2 in the form b*t**3 + u + a*t + w*t**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**3 + 9*y - 27259*y**2 + 27259*y**2 - y**4 - 3 as p*y**2 + a*y + v + u*y**4 + t*y**3 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8740 - 9265 = -179*i - 275*i - 26403 for i.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 37, 2\/7, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1517 is divided by 201?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 2*b**2 + 2*b - 68. Determine l(0).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1))**(2\/17)\/(o\/(o\/o**(-1\/2)))**1 assuming o is positive.\nAnswer: o**(13\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 98 - 99. Let j be (-4)\/10 + 0 + 0 - 0. Which is the closest to 1\/8? (a) f (b) j (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 6*i + 5. Let t be g(5). Suppose -15 = 3*h - 6*h, -5*k + 30 = 2*h. What is the second derivative of t*x - 2*x**4 + 3*x**4 - x - k*x wrt x?\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2219906 to the power of 1\/2, to the nearest integer?\nAnswer: 1490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 124 and 1550.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1425))\/(sqrt(3) - sqrt(600)\/sqrt(8)).\nAnswer: 5*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 46582.9113 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17585747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129 - 49 - 80 - 9958*c - 23515*c.\nAnswer: -33473*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -47719*l - 2051936. Calculate m(-43).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -280416 by 8.\nAnswer: -35052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/10 + (-4)\/10. Let i(f) = -f + 27. Let w be i(o). Suppose h - 5*h - 3*z + w = 0, -5*h - 3*z + 30 = 0. Solve 12 = -h*a + 7*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*n = -14*n - 203. What is the lowest common multiple of 85 and n?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*z - 60. Let h = 19 + z. Suppose r - 6*b = -h*b + 54, 4*b = 0. What is the least common multiple of r and 10?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27 - y - 3*y + 29 - 61 + 3*y**2 - 2*y**2 - 3*y**3 to a + s*y**3 + l*y + f*y**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 3*t, -p + 5*p + 5 = -3*t. Suppose -t*n = -4*s - 9, -n + 2*s + 7 = 2*n. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n + 11. Let i = 12 + -15. Let r be (-15)\/6*(1 + i). Let s(a) = 1. Let d(f) = r*s(f) - x(f). What is the derivative of d(p) wrt p?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - j - 4 + 3*j + 4.\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l - l - l - 4 - l + 4 + (-2 - 2 + 3)*(-3*l - 2*l + 3*l) - l + 2*l + l + 32 + 22*l - 32 + (-2 - 2 + 0)*(5*l - 3*l - 3*l).\nAnswer: 30*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) 0.2 (c) -0.1 (d) 570 (e) 470\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 7. Suppose -1 = -j, 10*j - 5*j = -3*r + 122. Suppose -z = -r - b. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 182289\/16, -0.4.\nAnswer: -0.4, -1\/8, 182289\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -18172687 and -0.10876115.\nAnswer: -18172687.10876115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 154? (a) 143 (b) 5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00019863 rounded to six dps?\nAnswer: 0.000199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (2210\/78*30\/34)\/(-2*2\/(-8))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (756\/(-4))\/1*((-2028)\/(-182))\/(-39)\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 398a9 (base 11) to base 13.\nAnswer: 1cc2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1*sqrt(220) + sqrt(220))*3)\/(1*6*sqrt(500)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 70)\/(-7) + (-468)\/45. What is the fourth smallest value in 8, 0, x, 5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pooppooppoopp. Give prob of picking 2 o and 1 p.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -4*k. Let r(f) = -63944*f**2. Calculate r(i(u)).\nAnswer: -1023104*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 8:59 AM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2789\/4 - 710. Let p be ((-2)\/14)\/(12\/(-104594)). Let j = -1233 + p. What is the common denominator of j and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -c**7\/1680 + c**6\/360 + c**5\/60 - c**4\/6 - c**3\/3 + 2*c**2 + 32. Let i(k) be the third derivative of y(k). Factor i(d).\nAnswer: -(d - 2)**2*(d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**3\/5 + 3*j**2 - 33*j\/5 + 17\/5 = 0.\nAnswer: -17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -x - 78, -6*q = -q - 2*x + 195. Let i = q + 88. Let o = -4 + i. Is o a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -14. Let t = b - 4.996. What is t rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 822429, 822430, 822431, 822432, 822433?\n\"Answer: i + 822428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3901186?\nAnswer: 2, 127, 15359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*o - k - 22, 4*o - 3*k - 38 = 0. Calculate the highest common factor of 8 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/51 and -25\/1143.\nAnswer: 19431","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -5*k**2. Let o be 4\/5*10\/4. Let i(t) = 2*t - 2*t**o - 2*t + 4*t**2. What is i(f(y))?\nAnswer: 50*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6929*l**2 - 1296 - 1614 - 1722 - 2837*l**2 wrt l?\nAnswer: 8184*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3249.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1497471 to the power of 1\/3, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 180b4 (base 14) to base 15.\nAnswer: 12e01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x**5 - 2277*x**4 - 107499*x**3 - 1885839*x**2 - 9074754*x + 1891248 = 0. What is x?\nAnswer: -82, -31, -8, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 16408, 131341, 443302, 1050805, 2052364, 3546493, 5631706, 8406517?\n\"Answer: 16419*m**3 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1688 is divided by 223.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5713 divided by -11?\nAnswer: 5713\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 732778936 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1860?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 70951 + 70916 = 0 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 4*n**2 - 2616 + 2616 - n**2. Let q(z) = 941*z**2. Give d(q(i)).\nAnswer: 2656443*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 8:43 AM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 * 0.6.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2 - 136490*o - 682425.\nAnswer: -(o + 5)*(o + 136485)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (103 - 50 + 52)*(-189*y + 86*y - 137*y - 149*y) as q*y + o and give q.\nAnswer: -40845","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 6*i - 2. Let b be s(-4). Let r be ((-4)\/b)\/(4\/(-5)). What is the second smallest value in 2\/5, 1\/4, r?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000019044307 to seven decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) - (sqrt(200) + (sqrt(200)*1 - sqrt(200)))*5)\/((sqrt(40)\/sqrt(5) + sqrt(8))*-5))\/(-2*sqrt(35)\/(sqrt(441)\/sqrt(7))).\nAnswer: -3*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21*m - 8*m - 24*m - 9*m + 10*m)*(-5339*m + 2282*m + 2450*m) to the form z + k*m + s*m**2 and give s.\nAnswer: 31564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 380 and 1520?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 7*s = 5*s + 208, 4*c + s - 440 = 0. Calculate the remainder when 473 is divided by c.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8950833 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1*m)**(1\/14)\/(m**2)**(-7\/5) assuming m is positive.\nAnswer: m**(103\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**9*h**(-7)*h*(h*h*h**1)**(-1\/3))**(-24) assuming h is positive.\nAnswer: h**360","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v + 5. Let a be s(2). Suppose -5*n + 1 = -4*f + 13, f - 3 = -a*n. Suppose 16 = f*u + u. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o**3 - 3. Let m(q) be the third derivative of 0 - q**2 + 1\/6*q**3 + 0*q. What is -3*m(w) - r(w)?\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -34*w + 2. Determine t(-1).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 - 41 + 7*r + 4 - 9 + 14.\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -13220000 rounded to the nearest one hundred thousand?\nAnswer: -13200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 10, g: 4}. What is prob of picking 2 g?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*r = -2*r + 95 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 8223247.\nAnswer: 3\/8223247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, l: 2, s: 3, c: 5}. What is prob of sequence slv?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2936 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dhdmjki. Give prob of sequence km.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-21\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by -22?\nAnswer: 13\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 1. Let d be (-12)\/(-9)*r\/1. Let i be 10\/d - 2\/(-4). Solve -2*j - i*j = -20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4873 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26762 + -26762.5. Which is the second biggest value? (a) 265 (b) 2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -283 - -298. Let m(v) = 5 - 4*v - v - 9*v**2 + 10*v**2. What is the remainder when m(10) is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ouuguuggououg. Give prob of sequence ouo.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 7*x - 6300 = -2*x. What is the remainder when 688 is divided by x?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-528)\/880*(-22520)\/6 is divided by 55?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1805418062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -37*l**2 + 555*l - 3999. Calculate y(7).\nAnswer: -1927","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a + 14. Let b be q(-11). Solve -b*p + 8*p = 20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**3)\/(b\/(b**5\/b*b)*b)*((b\/(b**(-1\/5)*b))\/b)**(-27) assuming b is positive.\nAnswer: b**(143\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -19 + 22 - 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 168? (a) 0 (b) 3.86 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 301 + -1655. Let h = 25.497 - 1322.797. Let a = u - h. What is a rounded to zero decimal places?\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 + -8. Let d be (-4)\/f + 77\/(-99). Let p(o) = -4*o**2 - 21*o - 1. Let k(r) = 5*r**2 + 25*r + 1. Let i(q) = 5*k(q) + 6*p(q). Give i(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48437.\nAnswer: 48437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d - 1071 = -2853. Calculate the greatest common factor of 22 and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, h: 1, v: 2, d: 1, q: 2}. What is prob of picking 1 c, 1 h, and 2 v?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, w: 6, d: 7}. What is prob of picking 2 w and 1 d?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 396 divided by 99\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6817.\nAnswer: 17, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*r - 42 = 57*r - 35*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 30 + -2 + -50 + -4 - 15\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, -31 in descending order.\nAnswer: 4, -2, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-19\/6)\/t**35)\/(t**33*t**(11\/3)) assuming t is positive.\nAnswer: t**(-449\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 94 and 27636.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -480 = 59702*m - 59762*m for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 851689.1 tonnes in micrograms?\nAnswer: 851689100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -776, 4, -0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/8*(-2)\/(-7)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h + 12*h = -4*b + 3112, 0 = -2*b - 2*h + 1556. Calculate the lowest common multiple of b and 12.\nAnswer: 4668","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - ((-2)\/(-6) - (-72)\/27).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62 and 713.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 1:53 AM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7635\/3553 + 18\/187. Calculate the common denominator of 23\/3 and u.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -570, -572, -574, -576?\n\"Answer: -2*i - 568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240046 is divided by 485.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1934 + 7819\/4. Let a = 114675\/20594 + 9\/2942. What is the common denominator of a and l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*k - 23*k**2 + 18*k - 31*k**2 - 31*k to z*k + f + r*k**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000110011001 - 11110?\nAnswer: -1000110110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1, -15, -39, -73, -117, -171, -235?\n\"Answer: -5*q**2 + q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 take away 13.59?\nAnswer: 8.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 2:39 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*1023310\nAnswer: -409324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*j**3 - 3274 + 1626 + 575*j**3 + 1647.\nAnswer: 665*j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -22 (b) -1\/3 (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o - 3*z - 4 = 4*o, -5*z = 5*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 930 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 1199999*o**2 - 5*o + 6. Suppose -11*t = -14*t - 18. Let m be u(t). Suppose 3*f + f - m = 0. Round f to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 14 and -1.54 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**5\/3 - 86*q**4\/3 - 368*q**3 - 2168*q**2\/3 + 24832*q\/3 - 10240 = 0. What is q?\nAnswer: -16, -15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + (-1)\/((3\/15)\/(-1)). Suppose -3*v + 84 = v. Solve 5*b = 4*l, q*l + 0*b - v = b for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 8 = -h + 28, -249 = -5*h - 3*l. Let p be (2 - (-81)\/(-12))\/(4\/h). Does p = -57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -78*u + 304 = 92 - 334 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**1*c**8*((c**(-1)*c)\/c)\/(c\/(c*c**(2\/5)*c*c)) assuming c is positive.\nAnswer: c**(52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1560 and 15293772?\nAnswer: 152937720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/6 + (-4)\/6. Let n = 0.25 - -0.05. Let r = n - -0.7. Which is bigger: r or i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 497*a - 505*a + 2088 = 0. Calculate the greatest common factor of a and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 18. Let s be k(0). Suppose -s + 53 = t. Let z = -14 + t. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -3\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0027351852 rounded to six decimal places?\nAnswer: -0.002735","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -986741 less than or equal to -986739?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 7*s + 30. Let p = 20 - s. Suppose -p = -0*a - a. What is the lowest common multiple of a and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 120*z - 41. Suppose -69 = -18*j + 147. Is b(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.14035817 to 4 dps.\nAnswer: 0.1404","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 672873?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 13*a**2 + 12*a + 5. Let z be d(12). Solve -3*w - i + 1 = -z, -3*i = 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1202752728.31 plus 0.06?\nAnswer: -1202752728.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 5. Let x(z) = -4*z**2 - 48*z - 1. Let l be x(-12). What is the nearest to 0 in -0.3, l, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 2*x + 16 = -6, 3*x - 13 = -a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -477, 1, 11, -1 in increasing order.\nAnswer: -477, -1, 1, 11, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/36 of a week in seconds?\nAnswer: 16800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + -4. Let d be (3\/(-4))\/(2\/(-40)). Suppose 3*c = 3*x + 15, 44*c + 5*x = 36*c + 1. Put z, c, d in decreasing order.\nAnswer: d, c, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 5*c + 23, 5*u - 3*c = 2*u + 3. Solve -u*p - 3 - 1 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35335 (base 6) to base 9.\nAnswer: -6885","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/(-3) + (2 - (-1252)\/12).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.7, -2, -7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2*w = 16. Calculate the remainder when ((2538\/(-36))\/(-47))\/(1\/18) is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a - 2*j + 8, -71 = a - 4*j - 64 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18921.\nAnswer: 3, 7, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-6)*108\/105)\/((-2)\/60)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -41 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 335.6517 centimeters?\nAnswer: 3356517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -x**5\/60 - x**3\/6 + 2*x**2. Let d(h) = -h**3 - h**2 - 6. Let v(j) = c(j) - d(j). Differentiate v(o) with respect to o.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 16 = -3*t. Solve 0 = -t*p - 9*p - 65 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z + 13*z - 8 = 0. Suppose z*x = 13*x. Solve 4 = g - x*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -7*s**2 + 8*s. Let z(c) = 0*c - 5*c + 4*c. Suppose -9 = 2*k - 13. Let g(v) = k*o(v) - 2*z(v). Find the second derivative of g(x) wrt x.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15667*k**3 + 15661*k**3 - 31333*k**3.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1225611*t**4 + 680123 wrt t.\nAnswer: 4902444*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + 0 + 0)*(21*k - 49*k + 15*k + 4 - 4 - k + (-k - k + k)*(-5 + 3 + 4) + 2*k - 4*k + k - 1 + k + 1).\nAnswer: 16*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 15*m**2 + 6*m + 144. Let c be v(-10). Suppose -36*u + 39*u = c. Is u a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11587 - 9197. Calculate the lowest common multiple of 239 and v.\nAnswer: 2390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1596 and 8456.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, s: 9, p: 6, j: 1}. Give prob of sequence bjbp.\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 15*n**2 - n - 16. Let v be t(-15). Calculate the common denominator of 2345\/70*v\/11 and (-2)\/(-3) + (-50)\/84.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(6*(-11)\/132*2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-50))\/((-3)\/(-15))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152.83329 months in millennia?\nAnswer: 0.0127361075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8061 is divided by 2640.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -288*f**3 + 173*f**3 - 85*f**3 - 701*f**3.\nAnswer: -901*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3040\/3 - 1030. Which is the smallest value? (a) -3 (b) 0.1 (c) -1 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o**2 - 3*o + 4. Let j(n) = -4*n**2 - 3*n + 5. Let b(v) = 7*h(v) - 6*j(v). Let r be 26\/4 + (-3)\/2. Suppose -5*x - r = -20. Determine b(x).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (918\/36)\/17*(-28)\/(-45). Let o(t) be the first derivative of -32\/5*t + k*t**3 - 1\/10*t**4 + 19 - 8\/5*t**2. Solve o(v) = 0 for v.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 185 = 69. What is the remainder when a is divided by 4\/(-34) + (-5238)\/(-306)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -994*z**2 + 694*z**2 + 3314*z**2.\nAnswer: 3014*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, 32\/9, -3, -2, -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -49*j**2 - j + 1. Let c be b(1). Let n = 8150 - 8099. Let g = n + c. Solve -x = -g*t + 7, x = -3*x - 5*t + 24 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262*r - 12568 + 913 = -389 for r.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 409 - 409. Let q be (-6)\/21 - (-104)\/(-28). Let m be 0 + 3 - (-7 - q). Solve 25 = x + 5*n, -2*x + i*n = -4*n + m for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 0 + 0)*(97*n - 3*n**2 + 4*n**2 - 129*n).\nAnswer: n**3 - 32*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 6*l**2 + 5*l + 4. Suppose -5*j = 5*w - 15, 17 = 5*j + 2*w + 2*w. Let r be k(j). Determine v so that v - r*v + 2*v**3 + 2*v - v**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 543.8 (b) -5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 2*l**2 + 3*l - 2. Let w be z(2). Let x be w\/(-3)*(-1)\/(-2). Solve x*t = -2 - 4 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 10 + 8*t - 10. What are the prime factors of z(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eight fifteenths of a day?\nAnswer: 46080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 7*c**5 - 14*c**4 - 59*c**3 - 58*c**2 + 5. Let n(t) = 8*t**5 - 14*t**4 - 60*t**3 - 58*t**2 + 4*t + 6. Let y(v) = 6*g(v) - 5*n(v). Factor y(q).\nAnswer: 2*q*(q - 10)*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t**5\/7 + 32*t**4\/7 + 4*t**3\/7 - 32*t**2\/7 - 10*t\/7 = 0.\nAnswer: -5, -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20959, -24932, -31553, -40822?\nAnswer: -52739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6082\/59 less than 102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 134\/155 - (-40)\/(-620). Which is the biggest value? (a) -0.0503 (b) o (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/22761 and -34\/2997.\nAnswer: 842157","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 49415 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c = -14*c - w + 19, 0 = 2*c - 5*w - 24 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/7, -106008, 3\/5, -65\/7?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*p**2 + 0 - 2 + 2.\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-40)\/(-12)*(186\/30 + -5). Suppose 77 = u*g + i, g - 7 = -4*i + 1. Calculate the highest common divisor of g and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*n + 76*n = 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11010100011010011100111 (base 2) to base 13.\nAnswer: 1599173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1517842 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -18812\nAnswer: 37624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 18797?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0*z - l - 5 = 0, -5*z = 4*l + 2. Solve 2*x = z*m + 16, -2*x + m - 16 = -7*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*g - 81*g = -102 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 79 and 869?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4459309793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 4 - 3 = -5*x, 2*x = 5*w + 16. Differentiate -10*g**2 - 192*g - 10 + 192*g + 2*g**x wrt g.\nAnswer: 6*g**2 - 20*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1017.16 - 476.1. Let d = -541 + v. Which is the nearest to 0.2? (a) -6 (b) d (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 190, -2, -112, 0, 25 in descending order.\nAnswer: 190, 25, 1, 0, -2, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8832\/18 + (-2)\/3. Round q to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 63*d + 5. Let w(x) = 32*x - 3. Let s(k) = 4*v(k) + 7*w(k). Let n be s(-7). Which is smaller: n or -6\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1419141 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -208*c**3 - 65*c**2.\nAnswer: -1248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 4*y - 39670, 4*y = 8*y + 12. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 143*d**3*z**5 + 178*d**3*z**2 + 75*d**2*z - d*z**2 - 115*z**5 wrt z?\nAnswer: 8580*d**3*z**2 - 6900*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of j**4 + 2*j**3\/3 + j**2 - 3*j + 33. Let o be x(1). Solve 0 = 4*g + 11 + o for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/2 + 71377*q**2 + 2548123030*q + 56024165516.\nAnswer: (q + 22)*(q + 71366)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-two fifths of a litre?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 899 and 3751.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 - ((-49 - -3) + 7).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -17, -78 in descending order.\nAnswer: 2, -17, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 358 - 355. Let n be 358\/8 + (-2)\/(-8). Suppose l = 5*o + n, 4*o = l + m*l - 100. Calculate the remainder when l is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -7. Let b = 5 + -3. Find the third derivative of -x*o**2 - 5*o**b + 11*o**2 - 2*o**5 wrt o.\nAnswer: -120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000185826257 rounded to seven decimal places?\nAnswer: 0.0001858","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**(-4\/5)))**31*(z*z\/(z*z\/z**(-2\/25)))\/(z*z**(3\/10)*z))**(5\/9) assuming z is positive.\nAnswer: z**(1121\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58130 (base 11) to base 3.\nAnswer: 11021020101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 670, -787, 0 in ascending order.\nAnswer: -787, 0, 670","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/37)\/(x\/(x\/(x\/x**(-2\/3)))))\/(x**(-9))**(1\/8) assuming x is positive.\nAnswer: x**(-433\/888)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.2, 31, 3, 4 in decreasing order.\nAnswer: 31, 4, 3, 0.2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7, 849, 751, 1 in increasing order.\nAnswer: -1, 1, 7, 751, 849","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66446094?\nAnswer: 2, 3, 11, 13, 43, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.7242791 rounded to one decimal place?\nAnswer: 29.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 300221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -27*u**3 + 291*u**2\/4 - 81*u\/2 + 6 = 0.\nAnswer: 1\/4, 4\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5773 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 54 and 690849929969.7.\nAnswer: 690849930023.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/16 and ((-17)\/(-10) - 1)*462\/98.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -5 - (7 - 8)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 10. Let v = 6 + f. Let x = 6731\/2 - 3366. Sort 0.6, x, v in descending order.\nAnswer: v, 0.6, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -5*b - 838*h + 843*h, -3*b = 3*h - 12 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2, 105, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 3\/4, -0.227, -0.528, -0.07?\nAnswer: -0.227","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -982370 (base 10) to base 14\nAnswer: -1b8014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.01257112 to 2 decimal places.\nAnswer: 2.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 678.8768 weeks in nanoseconds?\nAnswer: 410584688640000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*b + 101*b + 49*b)*(0 + b**2 + 0).\nAnswer: 135*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1198535*q*y**2 + 6*q + 3248689*y**2 with respect to q.\nAnswer: 1198535*y**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 9\/10 of a century?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*o**2 - 18*o**2 - 2 + 4 - o**4 - o in the form l + v*o**2 + y*o + p*o**3 + k*o**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3163002g in tonnes?\nAnswer: 0.0000003163002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1380, -1383, -1392, -1407, -1428, -1455, -1488?\n\"Answer: -3*g**2 + 6*g - 1383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2548049.5 rounded to the nearest 100?\nAnswer: -2548000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 770 and 1066.\nAnswer: 410410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ngonnnuf. What is prob of sequence of?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-488)\/(-11))\/(-2))\/(218762\/(-1203191))?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*g**2 - 23*g**2 + 17*g**2.\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-6)\/(s*s**3)*(s**0\/s)**(1\/14) assuming s is positive.\nAnswer: s**(-141\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 711, 4, -5, 5, -76 in decreasing order.\nAnswer: 711, 5, 4, 1, -5, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -169, -1381, -4663, -11047, -21565, -37249, -59131, -88243?\nAnswer: -125617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 671467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of y**5 - 5*y**4\/4 - 2. Factor m(q).\nAnswer: 5*q**3*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 56948.54 minutes?\nAnswer: 3416912400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**3 - 4*c**2 - c + 2. Let f be h(-2). Let t(y) = -5 + 5*y**2 - f*y + 2*y**2 - 6*y**2. Let x be t(5). Solve x = 5*i + 4 + 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4423, 9019, 13615, 18211?\nAnswer: 22807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 50 = 2*p - 0*p, 150 = 5*p + 5*b. Let c be 2\/(-5) + 64\/10. Calculate the remainder when p is divided by 57\/c + (-3)\/(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*x - 21 = 165 - 6 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 62615847757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -66, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 246*r**3 - 3*r**2 - 24*r + 74. Is s(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 11*(3 - (-1 + 3)). Let q(v) = 1 + c*v**2 + 5 - 6. Let s(g) = -2*g**2. What is s(q(i))?\nAnswer: -242*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 18*q**2 + 30*q - 21. Determine x(-16).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + 11*h + 12. Let r be q(11). Let m be 12\/(r\/640*5). Suppose -2*a + 4*a = 2*l + 102, -3*a - 2*l = -m. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*k + 22, 3*s = 4*s. Let b(p) = p**2 + p - 1. Let z be b(-2). Let w be (z + 0)*(126 + -5). What is the greatest common factor of k and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 2*p = 84 - 86, -7 = -4*v - 5*p for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2390544511 to the nearest integer?\nAnswer: 48893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1707 - 1724. Which is the closest to 0? (a) x (b) 3 (c) 1 (d) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -20*b + 18*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.4 + 0. Let q = 16 - 15. Put q, 0, i in descending order.\nAnswer: q, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - s + 2*s = -23, -4*o - s + 19 = 0. Suppose -o*a - 38 = -8*a. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (96\/(-8))\/(-48)*(-104)\/2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-2 + -1 + -11 - -4)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/((((-24)\/4)\/(-1))\/3). Solve g - m*h = 3, -2*g + 0*h - 1 = -h for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78da1 (base 16) to base 4.\nAnswer: 1320312201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 9. Let d = -8 - -9. Let l = d + -7\/9. Which is the second smallest value? (a) l (b) 2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8268 + 30503 = 590*v - 6085 for v.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, o: 6, y: 1, a: 2, r: 3, p: 3}. Give prob of sequence ma.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 7*v**2 + 153 - v**3 + 152 - 299 - 3*v + 2*v. Determine p(6).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1090.706 - 1088. Let r = 3.17 - x. What is r rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-27)*(-1 - 14) - 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115726 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 10:41 PM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*18\/30)\/(-3)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-4 - ((-13 - -5) + 7 + 0)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -4*j + 77 - 73, -j = -6*a - 8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3199*m + 23. Let u be ((-56)\/224)\/((-1)\/8). Is j(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -8*m**2 - 7*m. Let l be f(-3). Let t be (-187)\/l + (-2)\/3. Suppose -5*k + 660 = 5*x, -2*k - 124 = -3*k + t*x. Round k to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -33*s + 31*s. Let l(d) = d**2 + 5*d - 6. Calculate the remainder when l(s) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**3 - 99*s**2 + 7140*s = 0. Calculate s.\nAnswer: -68, 0, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44 - -55) + -8 + -26?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55 - 18. Let w = f - 35. Solve 0 = -4*l + w + 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -28937, -28936, -28945, -28970, -29017, -29092, -29201, -29350?\n\"Answer: -q**3 + q**2 + 5*q - 28942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1661675.\nAnswer: 5, 66467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*p = -4*m + 89*p, 20*p + 7 + 8 + 1 = 4*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2758382401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1404\/(-91) - ((-12)\/(-56))\/((-3)\/6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39 - -43. Let u(d) be the third derivative of 0*d**3 + 0*d + d**2 + 1\/15*d**5 + 0 - 1\/24*d**b. Find the second derivative of u(z) wrt z.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -2*b - 26, 8*b = -f + 5*b - 3. Let k be (0*(-3)\/f)\/(-1). Suppose 30 = z - 4*v, 0 = -k*z + 5*z - 4*v - 70. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 116 + (-144 + 74 - 6)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14480.\nAnswer: 2, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, e: 15}. Give prob of sequence ee.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4187 + -4175. Which is the biggest value? (a) 1\/3 (b) 0.5 (c) -2\/13 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of 413*n**6\/60 + 3*n**4\/4 + 7*n**3\/6 + 31*n**2 - 1. Find the second derivative of s(j) wrt j.\nAnswer: 4956*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -2\/7, 1\/8, 10, -0.4.\nAnswer: -10, -0.4, -2\/7, 1\/8, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 c when two letters picked without replacement from yypvnvcpccypf.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5764025939?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00216125 rounded to four dps?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -4*i. Let p be 6\/(-12) - (-11)\/2. Suppose -p*b + 3*b = 0. Suppose -5*g + 5 = 5*z, b*z + 1 = z - g. Give o(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -6*a. Let v(i) = i + 98928. Determine v(k(n)).\nAnswer: -6*n + 98928","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -d**8\/112 + d**7\/15 - 7*d**5\/60 + 2*d**2. Find the third derivative of v(m) wrt m.\nAnswer: -180*m**2 + 336*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-21 + 9 + 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 79*u + 12. Let k(q) = 79*q + 11. Let s(c) = -3*k(c) + 2*n(c). Is 10 a factor of s(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 12 = -q, -5*t + 4*q = -3 - 0. What is the highest common factor of 24 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30016379.\nAnswer: 1021, 29399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-3) + (-20)\/(-30). Is 23 a factor of (-5 + 4)\/(n\/(-536))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27 and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 - -0.2. Let x = l + 0.2. Let w be ((42\/49)\/(-6))\/(-1). What is the third smallest value in -3, x, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + 16\/10)\/((-9)\/(-1350)). Let d be (2\/(-6))\/1 + (-5)\/h. What is the second biggest value in -2\/3, d, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by 52614?\nAnswer: -11\/26307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xf when two letters picked without replacement from xxfxxxf?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73179.\nAnswer: 3, 47, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 5*k**2 + 17*k - 21. Let g be s(7). Put 4, g, 5 in descending order.\nAnswer: 5, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3410*x**5 - x**4 + 120*x**2 - 34*x wrt x?\nAnswer: 204600*x**2 - 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a0 - 53798c?\nAnswer: -537a5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 586 divide 361811050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 + z**4 + 12*z - 7*z - z**3 - 2*z**4 + 0*z**2 + 2.\nAnswer: -(z - 2)*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 6*o**2 + o**3 - 4 + o**2 - 1. Suppose 0 = -0*u + u. Suppose u*c - 14 = 2*c. Determine z(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 - (-36 + 10 + 62 + -31).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95781412, -95781417, -95781422, -95781427?\nAnswer: -95781432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -o**5\/270 + o**4\/108 + 2*o**3\/27 + 3*o**2\/2 + 5*o. Let n(z) be the first derivative of b(z). Solve n(l) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -19070*u + 19356044. Calculate z(1015).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/((-25)\/15) + 107. Calculate the greatest common divisor of 10 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - -1) + 11 + -11 + -3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 273 = -0*m + 3*m. Suppose -z + 5*n - m = -4*z, -5*z - 3*n = -157. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + 18152390898.9\nAnswer: 18152390898.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 c when two letters picked without replacement from nkbnncnbbcubmuk.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**5 + 5204*z**4 - 73384*z**3 - 355920*z**2 - 376704*z = 0.\nAnswer: -2616, -2, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2644 = -5*h + 2*t, 15*h - 16*h = -5*t - 515. Calculate the highest common divisor of h and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 142 + -83. What is the remainder when f is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20602 - 10016. What are the prime factors of u?\nAnswer: 2, 67, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -162 - 119. Let c = 282 + l. Let b(t) = -32*t**3 - 2*t + 1. What is b(c)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2922448?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.0076, -2\/9, -1\/5, 4?\nAnswer: 0.0076","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 3*m - 6 = 0, 0 = -5*r + 2*m + 29 - 8. Suppose -3*f = 3*q - 684, 0 = 3*f - 2*f - r*q - 232. List the prime factors of f.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -54 at most 0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3 + 18*w**2 + 36*w.\nAnswer: 2*w*(w + 3)*(w + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10008 + 16614. What are the prime factors of x?\nAnswer: 2, 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9910236, 9910227, 9910206, 9910167, 9910104, 9910011, 9909882?\nAnswer: 9909711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(-6) + 1696\/(-159). Let g(r) = -11 - r - 2*r + r. Let o be g(a). Let y(n) = -n**2 + 5*n + 5. Determine y(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 + 4*w - 9)*(2 + 0 - 3 - 19 + 25 - 16 - 3 + 6 - 4 + (-1 + 5 - 5)*(-4 + 2 + 1) + 1 - 2 - 1) to s*w + n and give s.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/4 + -8 + 10?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1065*m**3 + 2*m**2 + 11*m**2 - 13*m**2 - 1054*m**3.\nAnswer: 11*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 28979957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(8)\/sqrt(64)*-5 - (sqrt(2420)*-3 - sqrt(2420) - sqrt(20))\/sqrt(10))**2.\nAnswer: 30593\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of 3*r**2 - 5\/6*r**3 - 8 + r. Calculate z(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 630*z - 639*z + 27711. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -393 divided by -36.\nAnswer: 131\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 3*j = 9. Suppose -5*s - 6*h - 5072 = -j*h, -4*h + 3049 = -3*s. Let f = 1724 + s. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1067080752 - -323.9.\nAnswer: 1067081075.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 11*u - 4*u - 50, -623*u = 53*p - 54*p - 625*u + 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -2. Let w be 9\/(-30) - (-5)\/(-10). Which is the nearest to t? (a) w (b) -0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 602627171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 11 = 4*d + 2, -4*d - 2*k + 22 = 0. Let y(p) = -26*p + 17. Let u be y(0). Solve -u + 2 = -d*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (33\/(-4))\/((-156)\/416). Suppose x*g - 410 = 21*g. Does 10 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 6 - 30 = 0. Suppose -4*i - 4*w = 0, -2*w = -4*i + 33 - 3. Which is smaller: b or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -987 + 23 = 147*y - 82 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 156586642321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 + 5*l)*(l + l - 5*l) + 31*l**2 - 203*l + 203*l.\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 181248, 362496, 543744?\n\"Answer: 181248*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -3.1. Let s = -1.2 + 0.3. Let z = 0.1 - s. Put -0.3, z, d in increasing order.\nAnswer: -0.3, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 60\/((27\/2)\/9). Calculate the highest common factor of 8 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -86 (b) 2\/19 (c) 1\/6 (d) 5 (e) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 21 = 2*f, -u - 2 + 5 = f. Let a be 9\/12*f\/9. Sort 0.2, a, 0.\nAnswer: a, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1316309485.\nAnswer: 5, 263261897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -74 - -77. Suppose -16*u - v*u = -76. Solve 2 - 6 = -u*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 177 (base 9) to base 5.\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k + 24. Let s be x(-5). Suppose -4 - s = -6*y. Solve -3*m - r = 0, 4*r - 13 = -y*m + 4*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 71*r**2 + 16. Let a be f(71). Solve -a*b + 37*b = 21 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 2071?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.8 + 149.3. Let n = 25.6 - d. Let s = 126 + n. What is s rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -75? (a) 1 (b) 4 (c) 0.3 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 49434 = -t. Let j = t + 56717. What is j rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-8 + 4) - (-3 - 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*d, 5*i - 2*d + 164 = 708. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**3 - 2*s**2 - 5*s**2 - 18*s - 8*s**2 = 0. What is s?\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -49*j**2 + 2*j. Determine u(1).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + 2*d - 4. Let y be z(-4). Let m(k) = -18*k**3 + 2*k**2 - k. Let u be m(1). Let n = -7 - u. Solve -4*w + 2*v + n = y*v, 4*v = w + 20 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 870*k = 875*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 4*k**2 - 10*k + 9. Let x be p(4). Let o = x + 33. Which is the second smallest value? (a) -0.5 (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - y = 22, -4 - 20 = -4*z + 4*y. Suppose 7*s - 2*s = h + 23, 0 = s - 3*h + 1. Suppose 4 = -2*a, 0*w + 3*a + 2 = -4*w. Put w, s, z in ascending order.\nAnswer: w, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23569*x**2 - 2*x + 1161 + 2*x + 23571*x**2 to z + i*x**2 + p*x and give z.\nAnswer: 1161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26573050 and 194810?\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1941674 - 3?\nAnswer: -1941677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y + 5*y + 4*y - 2*y + y**3 + 3*y**2 - 5*y + 3. Let x = 71 - 74. Determine j(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((2*sqrt(55)*-1*6)\/(sqrt(121)\/(-5*sqrt(33)\/sqrt(3))))**2.\nAnswer: -90000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 10 + 11 = -2*y, 5*f + y - 22 = 0. Let n = 3 - f. What is the remainder when 67 is divided by 174\/5 - n\/10?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (5*(sqrt(156) - sqrt(156)*-5))\/((sqrt(600)\/sqrt(10))\/sqrt(5))*-6)**2.\nAnswer: -1440*sqrt(13) + 421216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -329536.\nAnswer: -32953.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -15. Let g(x) be the third derivative of -x**5\/30 - 13*x**4\/24 + x**3\/3 + 183*x**2. Let i(m) = m**2 + 6*m - 1. Give j*g(w) + 13*i(w).\nAnswer: w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 9:41 PM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122102221122 (base 3) to base 5.\nAnswer: 41441242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**2\/(h*h**(-2\/21)*h)*(h**(-1\/5))**(-15) assuming h is positive.\nAnswer: h**(65\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13502 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: Two letters picked without replacement from wypyphrpypyhprhyp. What is prob of picking 1 r and 1 p?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 9*g**2 + 8*g - 5. Is v(-7) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -29\/4 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 53330823341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.3, 2\/35, 4, -1, -2\/181 in decreasing order.\nAnswer: 4, 2\/35, -2\/181, -1, -2.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus 4242300609?\nAnswer: 4242300609.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, 1, -9, 0.07, -3?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3\/173 - 385\/2249. Which is the second biggest value? (a) 0 (b) u (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3395, 3393, 3389, 3383, 3375, 3365, 3353?\nAnswer: 3339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -551*a = -560*a - 9 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cpcpppccppp. What is prob of sequence pc?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 13*c. Let j(y) be the third derivative of -y**7\/5040 - y**5\/15 + 9*y**2. Let z(a) be the third derivative of j(a). What is r(z(o))?\nAnswer: -13*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -376 (b) -5 (c) -4 (d) 3 (e) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 4*v + 24, -5*c + 12*v = 10*v - 20. Let h(i) = i + 5. Suppose 3*q = 2*n - n - 8, 4*n = 5*q + 4. What is the smallest common multiple of h(n) and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - k + 23 = 0, 7*k - 2*k = u - 17. Let c(d) = -6*d + 2. Let g = 44 - 46. What is the smallest common multiple of u and c(g)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.124 and -23.\nAnswer: -2.852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.987457 years to centuries.\nAnswer: 0.04987457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22241 (base 6) to base 16.\nAnswer: -c31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -290 + 4\/((-8)\/2). Let b = 502 + p. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10807?\nAnswer: 101, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 6 = -3*x - 20, -2*x + 2*n = -12 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = z - b - 13, 2*b = 4*z - 30. Suppose -4*j - 6*l = -2*l - 20, 3*j = z*l + 7. List the prime factors of 24\/(2 - (-3 + j)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 10:47 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o + 3. Let i be m(0). Solve -3*f - 3*h = -21, -5*f + i*h - 5 + 0 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/4)\/(8\/32). Solve -y - 2 = 4*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-20)\/16 - 0)*32. Let y = b - -995. What is the hundreds digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73369007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5533 and 1727?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + n = r - 9, -r = 3*n - 1. Let l = -17 + r. Let f = l + 18. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2a - 1?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 8126*a**2. Let o(c) = c**2. Determine p(o(l)).\nAnswer: 8126*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -7622163 divided by 9\nAnswer: -846907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 c when four letters picked without replacement from crureccpureq?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i - 21. Let n(o) = 2*o**2 - 17. Let u be n(6). Suppose 3*d + h = -41, 3*d + d + u = -h. Let b be r(d). Solve b = -3*z - 2 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + -1.1. Let p = b + 1.2. Let d(y) = -y**2 - 9*y + 11. Let t be d(-10). What is the nearest to t in 0, 12, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**4 - 22*y**3 - 78*y**2 - 98*y - 40 = 0. Calculate y.\nAnswer: -5, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 10:55 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 400 and 9800.\nAnswer: 19600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/5570 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-257 + 249 - (-2 + -5)) + -66.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1851*h**4 - 246*h**3 + 77*h**2 - 107*h + 15 wrt h.\nAnswer: -44424*h - 1476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - s - 2. Let b(a) = -2*a - 14. Let c be b(-12). Let q = c - 16. Let o be (-2 + -2)*q\/12. What is h(o)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 z when two letters picked without replacement from {r: 2, z: 6}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14\/5*g**2 - 2\/5 + 2*g + 6\/5*g**3.\nAnswer: 2*(g - 1)**2*(3*g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of k**6\/720 + k**5\/60 - 5*k**4\/6 + 25*k**2. Let u(q) be the second derivative of i(q). Let x = -1 + -1. Determine u(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 14. Suppose 0 = f - 2*b + 4, 0*b = -2*b + 8. Suppose f*q - 6 = x, -3*q - 5*x + 8 = -4*q. Sort q, l, -3 in increasing order.\nAnswer: l, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -124 - -126. Suppose 410 + 212 = -y*h. Let k = h + 490. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29\/6 - -829\/174. Are h and 217 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6606)\/(-37434))\/(1\/51)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.6 - 0.6. Let k = 1 + u. Let z = -0.1 - k. Sort z, -2\/9, 0 in increasing order.\nAnswer: -2\/9, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 1. Let w = 141 - 115. Suppose 0 = -t*x + 85 + w. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12.4 or 168049\/6?\nAnswer: 168049\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 2:19 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((2 - 3)\/1)\/14. Put -1\/4, -1, t in descending order.\nAnswer: t, -1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r**5 + 5*r**5 + 2*r**5)*(1003 - 2290 + 687)*(-2 - 2 + 5 + (-3 + 2 + 0)*(-4 + 3 + 2) - 4 + 0 + 2).\nAnswer: 2400*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 958 + -664. Let f = 219 + -112. Let u = d - f. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106433365 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -439 - -454. Which is the third biggest value? (a) j (b) 2\/21 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 3*v**4\/7 + 45*v**3\/7 + 6*v**2\/7 - 2196*v\/7 - 1080 = 0.\nAnswer: -10, -6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r - 1. Suppose -4*g + 24 = 4*k, 0 = 2*g - 2*k + 3*k - 9. Let w be q(g). Suppose 3*f - 3 = 5*y, w*f - 5*f = -3. Solve y = 3*a - 8 - 1 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 6*b**2 - 8*b - 5. Let x be f(-5). Let d = x + -63. Sort 1, 0, -2, d in decreasing order.\nAnswer: 1, 0, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*t + 338 + 254 = 28*t for t.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -7*z - 3. Let r(a) be the first derivative of -13*a**2\/2 - 5*a - 48. Determine 5*g(o) - 3*r(o).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6 + (-7)\/((-63)\/540). Let w(d) = t*d**2 + 151*d**2 + 2*d**2. Let q(z) = -z**2. Determine q(w(m)).\nAnswer: -42849*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 7:57 AM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -228891, -228890, -228889, -228888, -228887, -228886?\nAnswer: -228885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -6*w + 4. Suppose -23 - 2 = 5*u. Let q(z) = -4*z + 5. Let y(x) = 9*x - 10. Let f(k) = 5*q(k) + 3*y(k). Give u*i(t) - 4*f(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 6650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196 - 32 - 90 = 53*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (33\/33)\/(1\/2). Solve -7*f + p*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v + 5. Let x be g(2). Suppose 2 - 14 = -3*r. Calculate the lowest common multiple of r and ((-35)\/(-21) - x)\/(2\/(-6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**4 + 3*t**4 - t**4)*(-4 + 3 + 3)*(0 - 8 + 2) + (3*t - 10*t - 9*t**2 + 18*t**2)*(2*t**2 - 2*t**2 + t**2).\nAnswer: -15*t**4 - 7*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b**3 - 10 + 10 + (3*b - 2*b + 2*b)*(-b**2 + 1 - 1) - 89*b**2 + b**3 + 89*b**2 - b.\nAnswer: 2*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2580630228?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 503854342.\nAnswer: 2, 251927171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 240470070 or 240470068?\nAnswer: 240470070","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*j - 4223 + 5177 = -7*j for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (203\/(-21) - -11)\/(2\/(-6)). Sort t, 0, 4.\nAnswer: t, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 12*y**2 + 3. Let c = 14 + -12. What is the tens digit of p(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13 - -51141630?\nAnswer: 51141615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 5*sqrt(425) + (5*sqrt(425) + sqrt(425))*-5)**2.\nAnswer: 500*sqrt(17) + 265629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/(-24) + (-700)\/12. Let x = -54 - f. Solve -x*g - b = 28, -12 = 4*g - b + 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 359489644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y - p - 51 + 72, -y + 1 = p for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 7 = 5*k, -2*a - 9 = -k - 0*k. Let b be (2 + -7)\/(k\/(-2)). Let h(u) = -b*u + 5*u + 6*u**2 + 0*u**2 + 0*u**2 - u**3. Give h(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 2*v - 2*z - 3, -3*z = 12. Suppose -p + 3*t + 16 = 0, 4*p = -0*t - t + 12. Is v > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -4*p - p + 389, 4*p = 4*w + 292. Let x(s) = s**3 + 5*s**2 - 2*s + 1. Let v be x(-5). What is the highest common factor of v and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 552\/5 + -110. Let o = -1.7 - -2. Let l = o + 0.2. Which is the smallest value? (a) f (b) -2\/3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 31672\/19152 + 6\/(-14). Let q = w + -130\/57. Calculate the common denominator of q and 13\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (4\/6 + 0)*-6 - -6120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -22, -45, -80, -133, -210, -317, -460?\n\"Answer: -l**3 - 16*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200100000022121 - -200?\nAnswer: 200100000100021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 665 = w - 221. Suppose -s - s = -w. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -5 (c) -429991\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 7261*m + 474876. Determine o(66).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -10) + (40 - 51) + -4 + 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1920)*-1 - sqrt(1920))\/(sqrt(6) + sqrt(480)\/sqrt(5) - sqrt(6)) + 5.\nAnswer: -4*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5752*l + 339434 + 569043 - 261597 + 66368 = 0 for l.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -186 + 199. Calculate the remainder when 17 is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of 0*i**2 + 0 - 2*i + 1\/3*i**3. Let g(a) = 2*a - 5 + 12 - 7. What is g(k(s))?\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d - 40*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 16*d - 16. Let w be f(2). Let l(z) = z - 47. Let c(p) = -6*p + 236. Let n(m) = w*l(m) + 3*c(m). Differentiate n(v) with respect to v.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96 - 2*j + 3790 + 9197.\nAnswer: -2*j + 12891","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -21 + 0 + -1 + 22\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5622119 is divided by 5622078?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*t + 77 = 293 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/22*(590\/(-177))\/(12\/((-216)\/(-5))).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p**2 - 2*p**3 - 5*p**2)*(4 + 4 - 5)*(p - 4*p + 2*p).\nAnswer: 6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 5235702.\nAnswer: -1\/5235702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 138 = -0*s. Let x = 33 + s. Let b = 43 + x. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -p**9\/3780 + p**8\/560 - p**7\/315 + p**4\/12 + 2*p. Let t(n) be the third derivative of y(n). Factor t(z).\nAnswer: -4*z**2*(z - 2)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34349 - 14758. Calculate the remainder when j is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0469 - -9.88\nAnswer: 9.9269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -189700000 rounded to the nearest one million?\nAnswer: -190000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p + 8. Let g be h(6). Let w be (-30)\/(-70) + 22\/g. Let l be ((-4)\/12)\/(w\/(-18)). Calculate the greatest common factor of 6 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 8:33 AM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-244)\/(-915)*((-7)\/(-2) + 4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9702*l**2 - 9704*l**2 + 35 - 15*l**3 + 544 wrt l?\nAnswer: -45*l**2 - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -553*i + 67519. What is the remainder when 0\/1 - (-424 - -1) is divided by o(122)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1690 is divided by 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1704 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 569 + -565. Suppose -5*f - 4*w = -7, -3*f - 2*f = -5*w + 20. Put -5, f, s in decreasing order.\nAnswer: s, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 680?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 7911*r + 11 = 7912*r, 5*r = 10*d + 45 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65261?\nAnswer: 7, 9323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-26)\/(-4)*135\/20. Let f = i + -44. Let b = 80 + -479\/6. What is the nearest to 1 in -2, f, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -829.13 + -0.2\nAnswer: -829.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -27, 0, -6.\nAnswer: -27, -6, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + c + 3*c - 8, c = 4. Let l be (-2914)\/(-24) - b\/4. Let z = l - 121. Find the common denominator of 77\/16 and z.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3698\/129 + -27)\/(10\/(-72)). Let s(d) = 2*d + 12 + d - 2*d. Determine s(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4545*a**3*d**2 + 665*a**2*d**2 wrt a?\nAnswer: 27270*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 21*o**2 - 5*o + 52. Let a be z(-20). Let k = a - -1172. Is k a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.15, 0.5, 0.1, -0.2, 2\/3 in decreasing order.\nAnswer: 1.15, 2\/3, 0.5, 0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -301 + 4517\/15. Which is the third biggest value? (a) v (b) -2\/19 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3904+-0.08\nAnswer: 0.3104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*m - 3 + 36*m + 31*m - 95*m + 7*m**4 + m**2 to the form x*m**4 + r*m**3 + b + d*m + l*m**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -149297 or -149006?\nAnswer: -149297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2359314 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - -1)*(-25)\/200. Let u(f) be the first derivative of h*f + 1 - 1\/4*f**2 + 1\/8*f**4 + 0*f**3 - 1\/20*f**5. Determine q so that u(q) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 16*i**2 + 11. Determine y(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -176 - -394. Is 2830\/13 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4536 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100 = -4*z + 84 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - s - 31. Suppose 0 = 2*r + s - 9. Let q = r + 29. Is 9 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 1\/7*m**5 + 15*m + 16\/21*m**4 + 0 + 0*m**2 + 32\/21*m**3 + 1\/105*m**6. What is u in b(u) = 0?\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 100751.22419 + 14648.77691. Let q = c + -115405. Let h = 5 + q. What is h rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3208 = -3*b - 1180. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/21, -78, 1.6, -3\/2, -5 in descending order.\nAnswer: 1.6, -2\/21, -3\/2, -5, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 56*p**2 + 6*p - 324. Let o be w(56). Solve 2*g + 10*g + o = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*b - 5*b - 6*b + (-3*b - 2*b + 6*b)*(-2 - 2 + 7))*(-2*b + 1 - 1) in the form d*b**2 + i + u*b and give d.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 85 + 704. Let i = w - 355. Is i a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -17*n**2 - n + 12. Let b = 14 - -10. Calculate the smallest common multiple of b and k(0).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4628 or 4627?\nAnswer: 4628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.115 and -3.1.\nAnswer: -2.985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 1 - 11 = 0. Suppose -s - 252 = -5*g, -2*s = -b*g - g + 254. Calculate the greatest common divisor of g and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 0.027 (c) -0.5 (d) 0.36 (e) -2 (f) 2\/37\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/8 + 11\/(-4). Let y be (-5)\/(-20) + 1\/k. Is y less than 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t - 2*f - 21, 4*t + 142*f = 138*f - 36 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7072405*z**2 - 14144805*z**2 + 7072397*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 33318 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4171683?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 45 + 3 = 0. Is r greater than or equal to 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -21, -9, 19, 69, 147, 259?\n\"Answer: o**3 + 2*o**2 - o - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*t**4\/2 + 435927*t**3 + 21114996097*t**2\/2 + 7038186724*t + 1173023048.\nAnswer: (t + 48436)**2*(3*t + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5906 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 179*h - 179*h - 14*h**2 + (-3*h - 2*h + 6*h)*(0*h + 2*h + 0*h)*(-4 + 1 + 6).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*(4 - 11)\/21. Let u(l) = 27*l. Let s(q) = 418*q. Let a(y) = 5*s(y) - 77*u(y). Let b(f) = f. What is o*a(k) - 6*b(k)?\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 632.735*0.4.\nAnswer: 253.094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 54*h**2 - 4177*h + 649. Give c(97).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(1152)*-2 - sqrt(1152)) - (2 + 2*sqrt(1152) + sqrt(1152)))*-2*-1)**2 + 5.\nAnswer: -3456*sqrt(2) + 373269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 4*u**2 - 2*u - 2. Let m(h) = h**2 + h + 1. Suppose -34*j + 66 = -45*j. Give j*m(n) - 3*c(n).\nAnswer: -3*n**3 + 6*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 63*v**3 - 44*v**2 - 13*v - 218. Let s(p) = -32*p**3 + 20*p**2 + 6*p + 109. What is -5*r(l) - 11*s(l)?\nAnswer: 37*l**3 - l - 109","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -334 and 408 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -l**5\/4 + 5*l**4\/3 + 9*l + 20. Let w(c) be the first derivative of y(c). Let w(u) = 0. What is u?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -191*n**4\/2 + 510*n + 663. Find the first derivative of q(h) wrt h.\nAnswer: -1146*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (17231\/(-4) - 28\/14)*(-39 + 35)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 9*l**2 + 14*l + 13. Let n be p(-4). Differentiate n*h - 65*h + 67 - 64*h wrt h.\nAnswer: -92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 201 divide 70716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 17 = -45. List the prime factors of u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3\/7 - 285*a**2\/7 + 42*a + 576\/7.\nAnswer: -3*(a - 2)*(a + 1)*(a + 96)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q + 236 = 4*m + 7*q - 2*q, 1396 = 91*m - 4*q - 3716 for m.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -170 + 183. Let m(n) = -14*n + 186. Let v be m(d). Solve 18 = -v*a - 5*y, -a + 5*y - 3 + 11 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-112)\/20)\/7*(-10)\/1. Let k(t) = 3*t - 15*t + b*t. Let l(a) = 2*a**2. Give l(k(q)).\nAnswer: 32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a centimeter in millimeters?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - y + 16 = 2*o, 0 = -5*o - y + 26. Solve o*h = 1 + 9 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-7 - -7 - -7 - 10) + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -7*x**5\/20 + 7*x**4\/12 + x**3 + 3*x**2\/2 + x + 42. Let w(n) = n**3 - n**2 - n. Calculate -6*w(s) - y(s).\nAnswer: s**3 - s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20420 - 343?\nAnswer: -21313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 1:48 PM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7635, 15008, 22367, 29706, 37019, 44300, 51543?\nAnswer: 58742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**2\/3 - 60920*r\/3 + 348416198\/3 = 0. What is r?\nAnswer: 7631, 22829","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3}. What is prob of sequence qqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-4 + 1 + sqrt(242)*-2 - ((sqrt(242) + 0)*4 + (-1 + sqrt(242))*5)))**2.\nAnswer: -4356*sqrt(2) + 263574","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 3 + 0*o**2 - o + 3*o**2 - 6*o**2 + 0*o**2. Let z be l(3). Put -4, -2, z in increasing order.\nAnswer: -4, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -47 + 177002?\nAnswer: 176955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -930798155 less than 0.3?\nAnswer: 930798155.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 4*j + 6, -j - 2*p = 5 - 9 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 2 - 6 = t, 5*t + 9 = b. Let w(q) = -21*q**2 + 9*q. Let d(a) = 5*a**2 - 2*a. Calculate t*w(r) - 9*d(r).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -134 - 196?\nAnswer: -2ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 11*z. Let j(l) = 44*l. Calculate 2*j(v) - 9*t(v).\nAnswer: -11*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/430?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 396253?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 5*o**2 - 2*o - 104. Let b be u(6). What is the greatest common factor of b and 6304?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/11 and 30\/3707?\nAnswer: 3707","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9 - (2 - 1) - (0 + 3). Suppose -j - j = -v*i - 271, -5*j = -5*i - 670. Is j a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**3 + 10*n**2 - 14*n + 241. Is v(18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 10810\/70837?\nAnswer: 10810\/70837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**4 + 6*h - 20. Let i(g) = g**4 - 13*g + 41. Let r(a) = 6*i(a) + 13*y(a). Find the first derivative of r(x) wrt x.\nAnswer: -28*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2. Let x(y) = -11*y. Let n(k) be the third derivative of 17*k**4\/24 + 33*k**2. Let m(d) = -5*n(d) - 8*x(d). Calculate m(s(t)).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 - -34. Let q = -1.2 - 24.4. Let u = -26 - q. Which is the third biggest value? (a) -0.6 (b) u (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + 8. Suppose -141 = -2*j - j. Let r = j - 17. Calculate the greatest common factor of x and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1788 - 978. Suppose 9*j - i = -j. Suppose 3*f = 5*t + 29, -2*f = t - 6*t - 11. Calculate the highest common factor of f and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-3)*(-12)\/(-90))\/(14\/(-1008))\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ta when two letters picked without replacement from {a: 5, r: 3, n: 4, t: 3, k: 1, b: 1}?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*m - 17607 - 17389 = -33091 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 - -29. Solve -10 = -2*v - l for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -319*i + 1. Let g = 183 - 184. What are the prime factors of p(g)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50619050 at most 50619050?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 21100202 to the power of 1\/3, to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 21*q**4\/5 + 2059152*q**3\/5 - 14708967*q**2\/5 + 6530886*q - 21181392\/5 = 0.\nAnswer: -98062, 8\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*v + 59*v + 29*v.\nAnswer: 176*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.42044 from 0.0653.\nAnswer: 0.48574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.029629 minus 3845462.19?\nAnswer: -3845462.219629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 5, 17, -2, 3, 1 in ascending order.\nAnswer: -3, -2, -1, 1, 3, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.0929*351\nAnswer: -32.6079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 525769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145958?\nAnswer: 2, 19, 23, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 27\/2 of a second?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f**3 - 4*f**2 + 10*f + 7. Let a(n) = 5*n**3 - 9*n**2 + 20*n + 13. Let o(q) = -4*a(q) + 7*v(q). Determine o(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -4*i - 196, -5*i = 4*x - 9*x + 200. What is the greatest common factor of x and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -10.756.\nAnswer: 21.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -2693, 5, -3, 42, 0 in increasing order.\nAnswer: -2693, -4, -3, -1, 0, 5, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 367085 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26782 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 459 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1168, -1161, -1154, -1147, -1140?\n\"Answer: 7*z - 1175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*b + y, 0 = -2*b + 4*y + 1 + 17. Let p be b*(0 + -4)*-1. What is the units digit of -1 - p - (5 + -199)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2812 - 81c?\nAnswer: -312e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/1*4)\/(-2))\/((-27)\/(-6))*-24.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ofoovooofff. What is prob of sequence oo?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 32123320003?\nAnswer: 32123320002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53628 = -489*c + 477*c. List the prime factors of c.\nAnswer: 41, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2342.98 - -2343. Which is the nearest to j? (a) -3 (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -94?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 37*p**3 + 4*p**2 + 28*p - 4. Let i(o) = o**3 - o**2 - o + 1. Let t(u) = -4*i(u) - n(u). What is the second derivative of t(z) wrt z?\nAnswer: -246*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(7\/2)*m*m)\/m*m*m**(-9)*m*(m\/m**7)**(13\/6) assuming m is positive.\nAnswer: m**(-31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k**3 - 25*k**2 + 49*k + 29. Let q(s) = -5*s**3 - 50*s**2 + 97*s + 57. Let h(c) = 4*q(c) - 7*u(c). Let m be 26\/6*19665\/3705. Give h(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -16. Let n = -19 - r. Is 0 at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2210021 - -11010?\nAnswer: -2122011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of t**4\/12 + 79*t. Let g(v) = 18*v**2 + v. Calculate g(i(j)).\nAnswer: 18*j**4 + j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -585, -519, -411, -267, -93, 105, 321, 549?\nAnswer: 783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 6:00 PM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j. Let z(m) be the third derivative of m**5\/120 - m**3\/6 + 2*m**2. Let o(f) be the first derivative of z(f). Calculate o(v(l)).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 10*j**3 - j + 1. Let v(s) = 21*s**2 - 170 - 28*s + 17*s**2 - 55*s**2 + 16*s**2. Let t be v(-9). Give a(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 3*p + 25. Suppose -p = j - 103. Let b be (-6)\/3 + (3 - -13). What is the greatest common divisor of b and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 2:03 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1199 - -1199.001222. Round n to 4 decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.56843 months to decades.\nAnswer: 0.58807025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n + 4*n + 3 + 2*n - 3*n**3 - 2*n as j*n**2 + p*n**3 + s + y*n and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 30, 36, 38, 36?\n\"Answer: -2*s**2 + 12*s + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49 - 49. Solve -o - 1 = w, 4*o + 4 = 3*j - j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 5*p**2 - 6*p + 6. Let a(g) = 2*g + 6. Let k be a(-6). Let l = -12 - -22. What is the remainder when l is divided by y(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-0.026419\nAnswer: 0.0105676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 21*t - 10. Let x(u) be the second derivative of -10*u**3\/3 + 11*u**2\/2 - 6*u. Let a(p) = -5*d(p) - 6*x(p). What is the units digit of a(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -3*w**5 + 1047*w**4 + 12744771*w**3 - 11748173847*w**2 - 12744768*w + 11748172800 = 0.\nAnswer: -2275, -1, 1, 1312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0113 - -615.9887. Let l = 615.97904 - i. Round l to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 5 (b) 0.1 (c) 0.41 (d) -1\/7 (e) 65 (f) -0.08 (g) -4\/53\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence avgv when four letters picked without replacement from {g: 6, a: 2, v: 2, k: 2, r: 2, z: 3}?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 32.03369 micrometers?\nAnswer: 0.03203369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 688.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 108\/((-1064)\/98 - -11). Calculate the greatest common factor of t and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -36, 0.\nAnswer: -36, -13, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 8:54 AM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(270)\/sqrt(6) + sqrt(40)\/sqrt(8) + -4 + (-4 + sqrt(125) + -2)*1))**2.\nAnswer: -720*sqrt(5) + 2020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 14 = 2*s, -3*f - 3*s - 7 = -31. Let z be 6\/8 + 2\/8. Solve -x + f = z for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**3 - 3*d + 3*d + (1 - 3 + 1)*(2 - 2 + 2)*(-3926*d**2 + 3926*d**2 - 343*d**3) as s*d + x*d**2 + f*d**3 + j and give f.\nAnswer: 685","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g + 8. Let k be u(-10). Let h be (-7)\/((-63)\/24) + k. Let s be 1\/2 + 10\/(-12). What is the closest to -0.2 in s, -3, h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2d6 - 1?\nAnswer: 2d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 5 + 2 = 0, 5*g + 1 = 3*p + 27 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.4266114 centuries?\nAnswer: 511.93368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -1\/6*t**4 + 1\/15*t**5 - 4\/3*t**3 - 8*t**2 + 0 + 0*t. Factor j(a).\nAnswer: 4*(a - 2)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = r + r. Solve r*q - 1 = q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -96.4 - -96. Are g and -15 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2750*a**3*h + a**2*h - 179*a wrt a?\nAnswer: 16500*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2620*a + 749*a + 933*a + 936*a. Let f(s) = 10*s**2 - 1. Let u(q) = -11*q**2 + 1. Let t(x) = -4*f(x) - 5*u(x). What is h(t(o))?\nAnswer: -30*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 194 + 3*s - 4212 - 516 to m*s + i and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 33\/5 of a millennium?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6762*i**3 - 3354*i**3 - 3397*i**3.\nAnswer: 11*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 54769.59 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 490699?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -121 + 362. Does 37 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2644051770 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -8, -189 = -g - 5*c - 60. What are the prime factors of g?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 335*z - 357*z = -88. Solve 26 = z*b + 6*i - 3*i, -4*i - 17 = -5*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 10:26 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 281191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14309.07033 + 14309. Let g = -0.07 - p. What is g rounded to five dps?\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 + 90060*i - 405540180.\nAnswer: -5*(i - 9006)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 3*d, -39*d - 16 = -35*d for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i + 4. Let x be c(-7). Let f be ((-2)\/6)\/((-1)\/x). Let v(b) = b**3 - 5*b**2 - 4*b - 5. What is v(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.858931ml in litres?\nAnswer: 0.003858931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 510726 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-8)\/(-12))\/((-4)\/(-72)) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51960.7401 plus -0.113?\nAnswer: -51960.8531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*d = -3*k - 1210, -2*k - 805 = -d. Let n = k - -407. Solve 0 = 3*h - 3, n*h + 3 = -5*z - 15 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(325)*3*1 - (-1*sqrt(325) + 3 - (sqrt(325) + -5 + sqrt(325) + 0))**2.\nAnswer: -2989 + 255*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 969118?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + z - 310, i = -0*i + z + 152. Suppose -2*n = -7*n + 30. Suppose 60 = 3*t - n. What is the greatest common factor of i and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/14*16\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 9467, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 4*s**2 + 5*s + 5. Let x be q(-5). Let b = -10 - -20. Let y be (-45)\/b*(3 + -13). Calculate the greatest common divisor of x and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 2\/24)\/((-34)\/1377*9). Which is the fourth biggest value? (a) y (b) 1\/5 (c) 1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/205 or -1?\nAnswer: 2\/205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 5*b**3 + 2. Let a(f) = -4*f**3 - 3. What is -2*a(m) - 3*h(m)?\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*y + 171 = -48 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/10)\/(((-252)\/(-8))\/(-63))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 46.9 and -8.3?\nAnswer: -389.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.2 - -3. Let i = -10249.7 - -10249.6. Which is the nearest to -66? (a) -4 (b) i (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14066*v**2 - 22 - 50513*v**2 - 20399*v**2 - 16759*v**2.\nAnswer: -101737*v**2 - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 11636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 19 - 6. What is the greatest common divisor of 26 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2832?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88 + (2 - 5 - -19) + -32 + 27 + -5.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 20*((-264)\/32 + 8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 12 = 5*g - 6*y, -2*g - 16 = 4*y. Suppose 2*l - 52 = -3*b, 2*l - 48 = -g*l - 2*b. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.1, -0.4, 55\/753, 1\/8.\nAnswer: -1.1, -0.4, 55\/753, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4*l - 291. Let h(n) = -3*n + 287. Determine 3*h(w) + 2*u(w).\nAnswer: -w + 279","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*t + 8*t + 1904 = 59*t for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in 12, 5\/6, -0.2?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((92\/8)\/(-23))\/(((-4)\/4)\/1).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -21335551090218 and -5.\nAnswer: -21335551090223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 5587435.2699909\nAnswer: -5587439.2699909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 5*y + 15, -7*y + 3*y = 5*x - 12. Suppose -4*o - o + 60 = x. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -17733675, -17733673, -17733671, -17733669, -17733667?\n\"Answer: 2*w - 17733677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 957186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7384 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 11 + (9 - (-3 + (-2 - -18))) + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1000 (base 2) to base 14\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.7 - -0.2. Let k = 1 + -1. Let x = 127 + -130. What is the closest to k in a, 2\/5, x?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d = 7*d + 1978. Suppose -16*p = -3587 - d. List the prime factors of p.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -571, -560, -549, -538, -527?\n\"Answer: 11*m - 582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*z - 60332 = 9844. Does 24 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 2*y - 111 + 113, -11*w + 19 = -4*y for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 788737*-0.62.\nAnswer: -489016.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -5*q**5 - 830*q**4 + 4230*q**3 - 7660*q**2 + 5975*q - 1710 = 0.\nAnswer: -171, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 2\/7 (b) 0.2 (c) 0.3635\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 734 - -6627.825486\nAnswer: 7361.825486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 * -0.13.\nAnswer: 0.091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 134*p**2 + 772*p - 523. Give g(128).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**2 + 53515 - 149*s - 26758 - 26757.\nAnswer: -2*s**2 - 149*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**5\/9 - 2*v**4\/9 + 20*v**3\/9 + 8*v**2\/9 - 128*v\/9 + 128\/9 = 0. Calculate v.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12626782 divided by 7.\nAnswer: -1803826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68 + 136 - 1105821*h - 69.\nAnswer: -1105821*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 459 + -235. Let z = u + -220. Solve -3*x = x - z for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 9, a: 2, u: 5}. Give prob of sequence auxa.\nAnswer: 3\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, k: 1, a: 2, l: 1}. What is prob of picking 1 a and 2 y?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 629 - 1169\/2. Which is the biggest value? (a) 1\/12 (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 6*l - 9. Suppose 2*a + 2*h = -8, -2*h = -3*h. Let g(f) = 31*f + 60. Let b(o) = -10*o - 17. Let i(n) = 10*b(n) + 3*g(n). What is a*i(y) - 5*v(y)?\nAnswer: -2*y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*(24\/(-28))\/(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*a + 3*a + 4*a - 330373*a**2 + 330375*a**2.\nAnswer: 2*a**2 + 51*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5 + 3*l + 7 - 3. Suppose -i = -5*d + 1, -6*d + d = 5. Calculate x(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 134, 5 in increasing order.\nAnswer: 4, 5, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/3 and -63\/203968?\nAnswer: 611904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 941, 942, 943, 944, 945?\n\"Answer: k + 940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*y**3 + 2*y + 10*y**3 + 4*y**5 + (-4*y + 2*y + y)*(0*y**3 + y**4 + 0*y**3) + 3*y**5 + 0 + 0.\nAnswer: 6*y**5 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a century in months?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3154 + -3156. Let s = 7 + -5. Is v <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 29 = -2*g - 25, 0 = -5*j - g + 90. Suppose -j + 8 = 5*x. What is the smallest common multiple of 9 and 0 - (2\/x + 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 127 - 31. Let a be 536\/6 - (0 + 1)*1\/3. Let b = h - a. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6*80\/(-18)*(-6)\/5. Suppose -p*u + 42 = -29*u. Is u a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 39 - 11 = 0. Suppose 5*y = -2*z + 20, 5*y - 4 = w*z - 19. Let l(a) = -a + a - 2*a. What is l(z)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 10:34 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -6. Calculate the remainder when l is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1377*o**2 - 882*o**2 + 1910*o**2.\nAnswer: 2405*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 381*k - 1134 = 378*k. List the prime factors of k.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 39003430?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 70589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1242 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 106 - 71. What are the prime factors of i?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -159351, -159389, -159437, -159495, -159563, -159641, -159729?\nAnswer: -159827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + 4914\/(-168) - (-10 + 140\/(-48)).\nAnswer: 35\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4571257?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5144 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-3 - (3 - 13)) + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -2*t - 94, -2*w - 4*t + 0*t = -22. Let j(a) = 20*a + 2. Let g be j(6). Suppose -2*p = -4*p + g. What is the remainder when p is divided by w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 6 + (-800)\/130 + 1\/(-1).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h*h\/(h\/(h*h**(-1\/9)\/h*h)))))\/(h*h\/h**(1\/2))*h**2\/h**(-2\/9)*(h**(2\/5))**(4\/3)\/(h\/(h**(-1\/3)\/h*h))**(-34) assuming h is positive.\nAnswer: h**(4363\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 31*c**2 + 3*c + 5. Let o be x(-3). What is the greatest common divisor of 25 and o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/96 and 5\/24.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*s + 3 - 1 + 1.\nAnswer: 16*s + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 692031643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 1512?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 11*f = 88. Let u be (-37)\/(-45) + (-3)\/5. Put -4, u, 4, f in increasing order.\nAnswer: f, -4, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 607160154 divided by 547\nAnswer: 1109982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of a**5\/60 - a**4\/3 - 13*a**3\/6 - 21*a**2\/2 - 11*a. Let d(b) be the first derivative of n(b). Calculate d(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 111843 to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/99058440 and 89\/44?\nAnswer: 1089642840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 17 - 42. Suppose 27*h + v = 28*h. Let r be 10\/(-6)*(-9)\/h. Which is the second biggest value? (a) 0.6 (b) -3 (c) r (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 60949066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 232*f**2*j**2 - 8*f**2*j - 30*f*j**2 - 4473*f*j + 143*j**2 + 1 wrt j?\nAnswer: 464*f**2 - 60*f + 286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -3\/6041242?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-7)*d)\/d)\/(d*d**(1\/3)*d) assuming d is positive.\nAnswer: d**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 42 - 42 + 91*p + 6*p + p. Let k(y) = 5*y**2. Give k(n(z)).\nAnswer: 48020*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 49844174 = -4*f + 161204172, x = 5*f - 139200002. Round f to the nearest 1000000.\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.02 and -1\/5047406 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 4*b + 3, 5 = 2*s + b - 2. What is the closest to 2\/9 in s, 0.1, -1\/8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 10*a - 3. Give v(14).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.38894 millennia in months?\nAnswer: 976667.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/(143\/(15873\/518)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f. Let h(g) = -9*g + 37. Let l(o) = -4*o + 18. Let s(k) = 2*h(k) - 5*l(k). Calculate d(s(j)).\nAnswer: -4*j + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 131955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 490568 to the power of 1\/2, to the nearest integer?\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 144295129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 1 - 0 - (-1 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - -7 - (28 + -25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x + 11. Let n be f(10). Suppose w + 4 = 2*k + n, 5*k = 4*w. Let t = 0.2 - 0.3. Which is the nearest to -1\/3? (a) w (b) t (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + 11*z - 27. Determine i(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 0, -29, -84, -165?\n\"Answer: -13*o**2 + 10*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -186202.009 rounded to the nearest 10000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -20*u - 389. Calculate the smallest common multiple of 429 and l(-37).\nAnswer: 3861","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 2*p + p. Suppose p*l - 2*l = 972. Is l a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 16. Suppose -97 = r*j - 17. Let u = j - -75. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22 or -27319?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2cc6 - 65?\nAnswer: 2c61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6009, -6, 423.\nAnswer: -6, -1, 423, 6009","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 43 = -4*t + d, -40 = -4*t - 4*d. Suppose 10*w + w = 0. Solve w = -12*s + 43 - t for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*k**3 + 7*k**3 + 6*k**3)*(2*k + 2*k - 2*k)*(-1 - 4 + 4) as r*k**3 + u*k**4 + l*k**2 + s*k + t and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -66 - -72. Let v(y) = -2*y**3 + 0 + y**3 + 5*y**2 + 5 + 6*y. Let t be v(p). Solve t*x - 2*x + 6 = 3*j, -4*x - 5*j = -19 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 889711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 935\/(-748)*(-9)\/30*14?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -116842 bigger than -116841?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - p + 24. Let q(m) = -2*m + 6. Let g(a) = a - 1. Let u = 2 + -3. Let d(o) = p*g(o) + u*q(o). Let k(r) = 2*r**2. Calculate k(d(t)).\nAnswer: 32*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4 - 1 - 4)*(1 + k - 1) - k + k + 2*k)*(0 - 16 - 4)*(48 + 17 - 98 + 55*k) to o + g*k + p*k**2 and give g.\nAnswer: 660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1266 and 6.\nAnswer: 1266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -401*f**6\/30 - 195*f**2\/2 + 644*f. Differentiate y(u) with respect to u.\nAnswer: -1604*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4 = -3*s - 1, -3*l = -2*s - 3. Solve l*u - 1 = 17 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1069 divided by -11743.\nAnswer: -1069\/11743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 divided by -4336.\nAnswer: -31\/2168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + (-1 - -2) - -8) + (13 - (553 + -494)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(539) - (0 + sqrt(539) + 1 - sqrt(539)))**2*4.\nAnswer: -8640 + 224*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75818 and 334.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/((-308)\/24))\/2*-7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -19*w**6\/6 + w**4\/2 + 169*w**3\/3 + 267. Find the third derivative of b(a) wrt a.\nAnswer: -1140*a**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(153)\/sqrt(3)*-6)\/(sqrt(12)\/sqrt(4)*2 - sqrt(3)) + 3 + -1))**2.\nAnswer: -864*sqrt(17) + 22176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five quarters of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51 - 55 + 30 + 2*m to the form o + d*m and give o.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 1267 in descending order.\nAnswer: 1267, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3342*c - 3896*c - 20902*c - 24575*c - 12277*c)*(-c**3 + 4*c**3 - 2*c**3) to v*c**4 + t + a*c**2 + g*c**3 + f*c and give v.\nAnswer: -64992","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -88*h - 351. What is p(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (1 + (sqrt(68) - (sqrt(68) - sqrt(68)*-1 - sqrt(68))) - (1 + -1 + sqrt(68))) + -4)**2*4.\nAnswer: 128*sqrt(17) + 528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 41\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*t**3*x + 514*t**3 + 9*t*x**2 + 89*x**2 + 321 wrt t?\nAnswer: 9*t**2*x + 1542*t**2 + 9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 213598 or 213438?\nAnswer: 213598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 + 34.865. Let n = l + 0.003. Round n to two decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1098526 - 31853084\/29. Let k = -144 + m. Let l = -59\/145 - k. What is the third smallest value in 1\/4, l, 0, 2\/29?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52314809 to the power of 1\/3, to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 5*h - h)*(4 - 3 + 0) - 2*h + h + 3*h + h + 2*h + h + 0*h - 5*h + 2*h + (3*h - 6*h + 2*h)*(2 - 1 - 2).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 13*a - 13*a + 2*a**2. Let y(m) be the first derivative of -1\/2*m**2 + 0*m + 1. Determine b(y(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1468 - -1628. Calculate the highest common factor of 5 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -577, -575, -573?\n\"Answer: 2*t - 579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*c - 4*q + 25 = -131*c, -6*c - 4*q + 30 = 0. Solve -j = 4*f - 8, 8*j - 6*j - 13 = -c*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2397 is divided by 48.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 639494 is divided by 16397?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/45*3)\/((-3)\/(495\/121))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/sqrt(3) + -5)*-2.\nAnswer: -2*sqrt(19) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 1) + -1203 + 1216?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*646.\nAnswer: -2584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -5*k + 57. Suppose 5*g = 3*n + 5, -2*g + g - k = 4*n. Let a = 10 + n. Sort 4, -5, a in descending order.\nAnswer: a, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 961 and 2091911.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1839 = -3*r + 84*n, -3*r + 8966*n - 8969*n = 75 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -15. Suppose 2*z + 1 = -5*v - b, 8 = z - 4*v. Suppose -19 + z = -t. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, t: 3, x: 1, g: 1, u: 1}. Give prob of sequence tu.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*y**3 - 32*y - 2*y**4 - y**3 - 19*y**2 + 20*y**2 wrt y.\nAnswer: -48*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 3 (b) -10 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 346530 and 84?\nAnswer: 4851420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1162*p - 5 = 5*f + 1157*p, 5*f - 15 = -5*p for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*m - 3\/2*m**2 + 0 - 3\/8*m**5 - 3*m**3 - 15\/8*m**4.\nAnswer: -3*m**2*(m + 1)*(m + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 33*p**2 - 31*p + 43. What is n(-32)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (45\/2960)\/(3\/2). Let w = a + 663\/296. Let o = 38467\/12 - 3196. Calculate the common denominator of o and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -3518169 (base 12) in base 13?\nAnswer: -2175648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + h + 5 = q, -1 = 3*q + h. What is the closest to -1 in 1, -1\/2, 6, q?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 675666671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 13.7, -0.1, 2\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/(-25) + ((-6528)\/(-60))\/(-17)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xcxx when four letters picked without replacement from xxcccxx.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3\/1193 - -180179\/14316. Let u = -29037638 + 580620757\/20. Let o = 6596 + u. Find the common denominator of j and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**4 + m**4 + 2*m**4 + (1 + 3 - 3)*(-4*m**4 + 2*m**4 + 3*m**4) + m**3 + 2*m**4 - m**3 - 233*m**2 - 23*m**4 + 233*m**2.\nAnswer: -21*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 30 divided by 1275\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -9*l**3 - 4*l**2 + 4*l + 28. What is f(-3)?\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 11*u**2 + 25*u - 3. Let z = -1963 - -1965. What is the least common multiple of z and m(-13)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (145\/15 - 9)*6\/(-22). What is the closest to -0.2 in 22, -0.3, d, 3\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 26\/2 - 0\/(-1). Let z(d) = v*d + 7 + 10*d + 2*d - 9*d + 2*d**2. Is z(12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -41 or -1822\/43?\nAnswer: -1822\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -7\/24*f**4 + 0*f**2 - 31 - 1\/30*f**5 + 4\/9*f**3 + 0*f. Find a such that j(a) = 0.\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1650 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 168 = 2*s + 3*d, 0 = 3*s + 5*d + 680 - 930. What is the remainder when 448 is divided by s?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35252 + -24469. What is g rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 16 = 0, -2*z + 68 = 4*l + 3*z. Let u = 14 - l. Let v(f) = -f + 11. Let b be v(u). Solve b = -4*t + 3 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (40\/6)\/((-1)\/3). Suppose -5*p + f = 74, 4*p + 0*p = 4*f - 56. Let z be q\/p + 2\/3. Is z bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 17. Suppose g = -r + 9. Suppose 3*i - 129 = -g*t - t, -5*t - 31 = -i. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269269 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**4\/4 + 1771*k**3\/4 + 6999*k**2\/4 - 122139*k\/4 - 95418 = 0 for k.\nAnswer: -1767, -9, -3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/1 + 2)\/(2\/17). Which is the smallest value? (a) d (b) -1\/3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**3\/5 + 148*j**2\/5 + 6707*j\/5 + 67146\/5 = 0. Calculate j.\nAnswer: -19, 186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 20*v - 1524. Give o(76).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -19\/177, -0.09, -4, 2\/11, 0.4 in ascending order.\nAnswer: -4, -19\/177, -0.09, 2\/11, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 934, 2275, 3618, 4963?\n\"Answer: n**2 + 1338*n - 405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 39*l**2. Suppose 10 = -2*o, 2*q + 5*o + 10 = -13. Let c = 4 - -1. Let x(g) = -g + c - 4 - q. What is u(x(a))?\nAnswer: 39*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a - a**3 - 5 + 16 - 3*a**4 - 8 to the form q + m*a + c*a**2 + i*a**4 + l*a**3 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -71893055*a*m*v + 9*a*m + 2*a*v - 346*a + 851*m + 1 wrt v.\nAnswer: -71893055*a*m + 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**4 - 805*g**3 + 36850*g**2 - 333740*g - 821400.\nAnswer: 5*(g - 74)**2*(g - 15)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 27709996757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1795 + 3*b**2 + 900 + 895.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -26600209.16 to the nearest one hundred thousand.\nAnswer: -26600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*1*(-35)\/(-3). Suppose -51*c + 8076 - 6546 = 0. Which is smaller: c or m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u + 70671 - 70671 + 8*u**2.\nAnswer: 8*u**2 - 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 33703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -n**2 - 58192*n - 846577216 = 0.\nAnswer: -29096","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19251923 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -3*c - 5*s, 562*c + s + 19 = 557*c - s for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2085*g*j**3 - 2*g - 237345*j**3 wrt g?\nAnswer: 2085*j**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2613)\/(-65))\/3*(-13)\/(65\/25)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**21*q**(-12\/13))\/(q**16)**27 assuming q is positive.\nAnswer: q**(-5888\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1139 + 1139.01204. What is b rounded to three dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -10 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u + 57*u = 75807 + 7245. What is the thousands digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 9:44 AM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 56\/16 + (-2)\/(-4). What is the derivative of 35 + 48 + q - 2*q**2 - 21 + 0*q**v wrt q?\nAnswer: -4*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*b + 0*b - 3*b)*(4*b - b - b) + 17*b**2 - 7*b**2 - 3*b**2 + 82*b**2 - 9*b**2 - 10*b**2 to f*b**2 + d + q*b and give f.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 2:37 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3456\/8)\/24 + 10?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -5*g**2 - 221*g - 28. Let d be x(-44). Let y = 3 + 0. Suppose 0 = -y*j + 2*f + 16, f = -4*j + 16 - 2. What is the highest common factor of d and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 56\/(-26) + 2 + 4906\/286. Suppose -j = 3*l - w, j + 3*j = -4. Let i(z) = -z**3 + 10*z**2 - 4*z - 13. What is the units digit of i(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) 104 (c) 0.5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1067 and 291?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqaqa. What is prob of picking 1 a and 2 q?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 72909 - 50737. Does 92 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b52709 (base 12) to base 13\nAnswer: 788118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1800033979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 333 - 24. Suppose -4*p + 1302 = 2*y, -4*y + j = 5*p - 2286. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*c - 139*c - 48 = -5*b, 0 = 4*c - 4*b + 48 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22743857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -51 + 8*d**2 + 530*d - 265*d - 263*d in the form m*d + y + i*d**2 and give y.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 145 = -2*a - a, -a - 5*r = -44. Calculate the lowest common multiple of 42 and a.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(4\/2)*(6 + -7). Put 0, -473, c in descending order.\nAnswer: c, 0, -473","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.3 * -28324.4\nAnswer: 36821.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -6*f**2 + 3*f - 1. Let l be y(1). Is 11 a factor of ((-87)\/3 + l)\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + sqrt(63) + 4 + -2*sqrt(7)*1 - (-2 + sqrt(28) + (-1 + sqrt(7))*1)) + 5.\nAnswer: -sqrt(7) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -20008, -19500, -18994, -18490, -17988?\n\"Answer: -t**2 + 511*t - 20518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 48149 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 is the ten thousands digit of 6872331?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1096877199 divided by 4335483.\nAnswer: -253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i + 10*i + 4 = 0. Which is bigger: -6 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -292*r + 2860 = -422*r for r.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rsr when three letters picked without replacement from {s: 17, r: 3}?\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 504 and 80.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zxcz when four letters picked without replacement from qqzzqxzczzxcqalzzccq?\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 3 - 3)*(-4059*w**4 - 280*w**2 + 572*w**2 - 292*w**2) to the form t*w**3 + b*w**2 + p*w + r + v*w**4 and give v.\nAnswer: -4059","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j**(-2\/9)\/j))*j**10)**(-22\/5) assuming j is positive.\nAnswer: j**(-1738\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4419\/19 or -232?\nAnswer: -4419\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + -1)*1 - -5. Let y(a) = 58*a**2 + a - 10. Is y(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.001537075102 rounded to four dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 4*d - 262, f + 3*f = -5*d + 350. Let o(z) = 2*z - 6. Let s be o(12). What is the greatest common factor of s and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 = -363*j + 359*j - 3*t, 5*j - 39 = -t for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z + 4996 = g + 5029, 2*g = -2*z - 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.11 and -3280.\nAnswer: -3280.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000946984 rounded to 6 decimal places?\nAnswer: 0.000947","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (0 - 3) + -1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 45 = 5*d - 245, -4*d - 870 = -3*o. Is o a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 l when four letters picked without replacement from {y: 6, s: 1, l: 1, z: 1}.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5135, 10307, 15479, 20651, 25823?\nAnswer: 30995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23995*k**3*y**2 + 472*k*y**3 - 30684276*y**3 wrt k?\nAnswer: 71985*k**2*y**2 + 472*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47307 and 379669.\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-19)*y*y*y**(-2\/25)*y*y*y*(y\/y**(12\/7))\/y**(-18) assuming y is positive.\nAnswer: y**(561\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of l**3\/3 - 3*l**2\/2 - 7*l - 2. Let i be w(5). What is the greatest common divisor of 33 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 5*k**2 + 4*k + 12. Let q be z(6). Suppose 0 = -q*p + 2*p - 22. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 + -101100110011101011?\nAnswer: -101100110011100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 0.355 (c) -71541\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f + 2 + 2*f + 4. Let w be l(5). Let j = 17 + -17. Is w bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = 9*w + 20*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t - 7*t**2 - 2*t - 17*t**2.\nAnswer: -24*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 13. Let y = 30 - d. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 11 - 4 + s - 2*s + 3. Let z be q(0). Let g be (-15 - -10)*(1 + 46\/z). Which is greater: g or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 224, 1073, 2490, 4475?\n\"Answer: 284*w**2 - 3*w - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28240 is divided by 1061.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 26, -5\/2 in descending order.\nAnswer: 26, 1\/7, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 14. Let d = -2 - m. Which is the third biggest value? (a) -3 (b) d (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 + (-585)\/(-63) + -4. Is g < 2\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -w**5\/120 - 5*w**4\/48 + w**3\/2 - 2*w**2. Let d(j) = 0. What is j?\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 24*b - 77. Solve 2*t + 3 = -b*k - 1, -k = 2 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1152517 (base 10) to base 12.\nAnswer: 476b71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136300729.\nAnswer: 136300729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 795*g + 1. Let v(h) = -4*h**2 + 11. Calculate y(v(w)).\nAnswer: -3180*w**2 + 8746","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3162 + -0.1922. What is the second biggest value in v, -1\/6, -1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 + 53 = g + 48*l, -9 = g - 4*l for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008711033 to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14220\/270*1*(-6)\/(-4) is divided by 31?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 417788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/5 or -0.13?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 3.7. Let q = -221 - -239. Let w = -145\/8 + q. What is the smallest value in w, 0.5, 3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5709 - -9402. Suppose 0 = -3*h - x + 660. Is (h*(-3)\/9)\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1260, 1944, 3862, 7650, 13944, 23380, 36594, 54222?\n\"Answer: 106*o**3 - 19*o**2 - o + 1174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9257 + -9334. What is the nearest to -1 in 0.2, -1, 1, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -582, -587, -590, -591, -590, -587, -582?\nAnswer: -575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1068469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 5*p = 45, -10*a + 3*p - 18 = -12*a. Calculate the highest common factor of 927 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 339662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 3*x - 4. Let r(s) = -6*s + 2*s - 3*s**3 - 4*s - 11. Suppose 18 = -3*y + 3*d, 36 = -y - 4*y + 2*d. Give y*i(q) + 3*r(q).\nAnswer: -q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a factor of 3347546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*b + 80 = 89*b. What is the greatest common divisor of 165 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11112212112 (base 3) in base 6?\nAnswer: -1530405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/20*(-24)\/(-9). What is the third smallest value in -12, 2\/3, b?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqvvvvqqqqqqq. What is prob of sequence qqq?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 143 and 128765?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4*v - 29. Give t(17).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 320586?\nAnswer: 320586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1.161525mm?\nAnswer: 1161525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1571 take away -0.09?\nAnswer: 1571.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*((-14)\/4)\/1. Let r be -8 + o + (-6 - 1). Is 8 a factor of 9\/6 - 116\/r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -0*j + 4*j. Calculate the greatest common factor of 22 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43 - 19. Let x(y) = -42*y - 123. Let n be x(-3). Suppose 5*v = -b - 7, 5*b - n*b - 31 = -v. What is the greatest common divisor of b and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-10)*(-275)\/660?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1185229.\nAnswer: 337, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202866919?\nAnswer: 29, 6995411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9956 + -9491. Solve 0 = -73*j - 27 + t for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 444150 a multiple of 470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -30. Let t be (4\/(-42))\/(y\/(-24)). Let o = -0.1 + 0.6. Which is the second biggest value? (a) t (b) o (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 476*c**3 + 0 - 6 + 6 - 478*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-4\/3)*n*((n**(-2\/3)*n)\/n)\/n assuming n is positive.\nAnswer: n**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**2 - 2*d + 2*d + (4*d - 3*d + d)*(-6*d + 14*d + 4*d) - 4*d**2 + d**2 - 2*d**2 in the form q + o*d**2 + m*d and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 293645 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.6 + 40.6. Let u = -36 + s. Which is smaller: u or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 17.\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 162016399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 275 or 9.4?\nAnswer: 275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 43*k = -2*y - 56*k + 12, k - 6 = -5*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90.11434 hours to microseconds.\nAnswer: 324411624000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 12 = b, 5*j - 4*b = b - 40 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + m + 9032 = 0, 3014 = 587*p - 586*p - m. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8436, -16881, -25326?\n\"Answer: -8445*o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.926 + -0.074. Let t = -8 + 7.6. Let q = t - -0.4. Which is the smallest value? (a) q (b) 4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of 0*r + 2\/735*r**7 - 2\/21*r**4 + 0 - 7*r**2 + 0*r**3 - 1\/15*r**5 - 1\/105*r**6. Factor m(q).\nAnswer: 4*q*(q - 4)*(q + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/101 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -199.999998404 + 200. What is h rounded to 7 dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104350 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, p: 6}. Give prob of sequence ptp.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 71582701 to the nearest 10000.\nAnswer: 71580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3 = 0, -2*h + 2*b + 2 = -0*b. Let g(x) be the second derivative of 5*x + 0 - 1\/12*x**4 + 1\/2*x**3 - x**2. Calculate g(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17649.\nAnswer: 3, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0*z**5)\/((z**(1\/14)*z)\/z**(-1\/7)) assuming z is positive.\nAnswer: z**(53\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21230 minus -2?\nAnswer: 21232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -221101223 + 10?\nAnswer: -221101213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 9*r, -5*z + r = -z - 105. Suppose -n = -35 + 176. Calculate the remainder when (-8)\/(-12)*n\/(-2) is divided by z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14527 to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -61, 0.2223, -1\/4, -1, -1\/6, 0.2, 1?\nAnswer: 0.2223","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 155983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 81 - 69. Suppose -6*g - j + h = -3*g, 5*j - 21 = -2*g. Suppose 12 = l + g. Solve -3*y + 0*y + l = 2*s, -6 = 2*s for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.068 - -0.032. Let g = 0.541 - 0.141. What is the nearest to 2\/9 in 4, m, g, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 q when two letters picked without replacement from qqqnnnn.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5*r + 61 = 0, 0 = 3*l - 0*l - 4*r + 259. Which is the second biggest value? (a) l (b) 1 (c) -0.5 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1103 + 1741. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 + 139 = 4*w - 4*k, -2551 = 2*w + 82*k + 649 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 4, u: 2, h: 1, l: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 4*z + 12, -1 = -3*q - 7 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4265170 divided by 3815\nAnswer: 1118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -329*s + 38. Suppose 13*t - 18 = 15*t. Is m(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4831787137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j + 2. Let s = 9 - 6. Let w be y(s). Is 10 a factor of (3 - 6 - w) + 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -182, -1\/6, 10, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.089319 rounded to 1 dp?\nAnswer: 9.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*(4\/(-1))\/(-2). Let k be 29\/3 - a\/6. Suppose -2*m + 0*m + 2 = 0. What is the highest common divisor of k and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1575 - -1581. What is the remainder when 123 is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -373*h**8\/336 + 301*h**4\/8 - 99*h**2. Find the second derivative of z(c) wrt c.\nAnswer: -7460*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59 - -271. Let f = m - 186. Put f, 2, -3 in decreasing order.\nAnswer: f, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 * -27072\nAnswer: -162432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -165.001944 - -165. What is l rounded to 5 decimal places?\nAnswer: -0.00194","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6\/5*r**3 + 14\/5*r**2 - 6\/5*r**4 + 2\/5*r**5 + 12\/5*r + 0 = 0. What is r?\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c6337a - -9?\nAnswer: 1c63386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6737631.\nAnswer: 3, 149, 15073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = n - 106. Calculate the greatest common divisor of n and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 3*c + 18. Let y be z(-6). Suppose s - 2*j - 6241 = y, -3*s + j + 18729 = -3*j. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, 692170.\nAnswer: -1, 6, 692170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 987728.3 millennia in decades?\nAnswer: 98772830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 15*f**2 + 16*f - 20. What is l(14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71015 is divided by 690?\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-75)*(7\/2)\/((-8)\/(-80))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 1:22 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 54212 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -41 (b) 4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/1275 and -48\/2023.\nAnswer: 151725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 6*s**2 - 5*s + 2. Let b be d(-7). Let a be -4 + (1 - 33\/b). Which is bigger: a or -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -51. Let a be (-4*300)\/(-5) - -10. Calculate the highest common factor of a and v.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7340 - 7331. Let y be ((-36)\/(-10))\/((-1)\/(-5)). Calculate the highest common divisor of d and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14018, 14010, 14002, 13994, 13986?\nAnswer: 13978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -156 + 111. Let d = 126 - h. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**4\/3 + 140*g**3\/3 + 2*g**2\/3 - 140*g\/3 = 0. Calculate g.\nAnswer: -1, 0, 1, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 838139 is divided by 279327.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5245 times -0.2\nAnswer: 1049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 5:00 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6*1*((-2058)\/183 + 9). Which is smaller: k or 14?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - 60 - (-246 - -218)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*j + 2*u + 25, 0 = 2*j + 2*u + 2. Suppose 0 = -j*h - 5*a + 56, -2*h + a + a = -16. Solve 4*w = -5*z - 28, 2*z + h = -2*z + 2*w for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7230*c**3 - 7209*c**3 + 14567*c**3.\nAnswer: 128*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b**3*p**2 + 31*b**3*p + 542*b**3 - 13*b**2*p + b**2 - 164*b*p**2 wrt b.\nAnswer: 6*p**2 + 186*p + 3252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -11. Suppose -4*k + y*k = -16. What is the third derivative of -3*x**2 - 4*x**2 + 8*x**4 + x**k + x**2 wrt x?\nAnswer: 216*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15518 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 7*j**3 + 3*j**2 + 7*j + 1. Is u(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-48)\/(-9) + (-1)\/3. Suppose -7*c - b = -5. Suppose -3*v - 4*v = c. Solve v = 3*o - 2*o - 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of 0*h + 0*h**3 - 1\/42*h**7 - 1\/12*h**5 - 2*h**2 + 42 - 1\/12*h**6 + 0*h**4. Find j such that s(j) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 40*m**2 - 84*m + 113. What is the remainder when 311 is divided by o(-42)?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1611225 and 378?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 10) in base 3?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -300 (base 14) to base 6\nAnswer: -2420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(4\/14 - (-1590)\/(-420))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10899103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2742523.42+1284\nAnswer: -2741239.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*r + r + 7*r)*(-5*r - 11*r + 7*r + (-2 - 2 + 5)*(-3*r + 5*r - 3*r)).\nAnswer: 330*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*c = 10*c + 18. What is the third derivative of v**4 - 31*v**3 + 2 - 3*v**4 + v**4 + 4*v**c - 115*v**3 wrt v?\nAnswer: -24*v - 876","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-36)\/48 - (-3)\/4. Let v(m) = -3*m**2 + d - 3 + 2*m**2 + 11*m - 4*m. Let g be v(6). Solve -g*a = -7*a - 20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 26 = 5*o, 0 = -4*z - 26*o + 31*o - 28. Sort 5, 13, z.\nAnswer: z, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**3*i**2 - 37*g**2*i**3 - 4*g**2*i + 384*g*i**3 + 2*g wrt g?\nAnswer: -12*g*i**2 - 74*i**3 - 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 12 - 2 - (0\/(-7) + 4).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 5*s - 27, 37*s - 33*s + 5*h - 30 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j - 5. Let v be z(-8). Suppose -27 = -3*g + 3*m, 22 + 14 = 4*g - v*m. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -13*z + 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 9*z + 6. Let r be k(-5). Let i be r\/(-198) - (-20)\/(-110). Let m = 0.08 - 5.08. What is the nearest to 1 in i, -0.2, m?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 0, 2*b + 2 = -3*l + 281. Let y = l - 49. What is the highest common divisor of y and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 7\/145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + -24. Let u = 10 + d. Let m(q) = q**2 - q**2 - q**u - 1 - q. Let v(y) = 3*y**2 + 2*y + 2. Give 2*m(o) + v(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 10:44 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*g - 3. Let a(p) = -3 - 3 + 5 - 2*p. What is the units digit of a(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*j**2 + 45815*j - 30550.\nAnswer: 5*(j + 3055)*(3*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*s + 33*s - 18*s = 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, 4.93, 0.4, -17, -0.1, -1.7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 16*n**2 - 2*n - 82. Let c(z) = 8*z**2 - z - 39. What is -5*c(i) + 2*h(i)?\nAnswer: -8*i**2 + i + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -c - 17715 - 13752, -3*c = n - 31479. Suppose 34*b + 12430 = n. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 717550943 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 15*w**2 + 53*w + 52. What is j(-11)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -80 + -26026?\nAnswer: -26116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**3 + 11*z**2 - 13*z - 9. Let k(f) = -f**3 - 5*f**2 + 6*f + 4. Suppose 38*y - 18 = 36*y. Let a be y\/(-6) + 40\/(-16). What is a*i(d) - 9*k(d)?\nAnswer: d**3 + d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*f**2 - 173*f**2 + 83*f**2 + 1014 - 508 - 507.\nAnswer: -75*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 36*s**2 - 70*s + 1311. What is the thousands digit of v(31)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 861, 1569, 2277, 2985, 3693?\nAnswer: 4401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*v**2 - 135*v**4 - 3*v + 2*v**3 + 3*v - 3 - 148*v**4 + 282*v**4 in the form a*v**4 + b*v**2 + k*v + q*v**3 + p and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 64 - 149601795195.\nAnswer: -149601795131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(532\/(-6))*(-1970)\/(-591)?\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59151*q**3 + 437*q**2 + 18 - 18 - 437*q**2.\nAnswer: 59151*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 79 and 23591849?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 706\/55 + -150\/11. What is the biggest value in -1\/8, s, -2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134 + -44 + -44 + -68?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 4*f - 12 = 0. Suppose 5*x + 0*u = u - 34, -f = -u. What is the least common multiple of 18 and ((-8)\/24)\/(1\/x)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 514599 divided by 171533\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 11*w + 151. Let t(x) = 6*x - 150. Give 2*r(v) + 3*t(v).\nAnswer: -2*v**2 - 4*v - 148","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -22*p - 146. Let z be c(-27). Calculate the greatest common divisor of z and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -6 - 16. Suppose 26*v - 132 = 20*v. Let p = x + v. Solve 0 = -p*n - 3*n + 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 9:18 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4*b**2 - 5*b + 1. Let k(d) = d**2 - 2*d - 1. Suppose 3*c + 15 = -2*c, -3*c - 19 = -s. Let i(q) = s*k(q) - 2*j(q). Factor i(y).\nAnswer: 2*(y - 6)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -42533213 - 3?\nAnswer: -42533220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4292\/42*3\/706. Let u = 9630 - 3399388\/353. Let p = r - u. Which is smaller: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u + 84*u**4 - 7 + 84*u**4 + 84*u**4 + 2*u**2 - 250*u**4 + 2*u**3 to the form m*u**4 + y*u + w + l*u**3 + i*u**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 47223071?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/32*492\/205.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 31f?\nAnswer: 31c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(42) + -2*sqrt(5082))\/(sqrt(864)*1).\nAnswer: -7*sqrt(7)\/4 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 496*h**2*l**2 + 12*h*l + l**2 + 3*l wrt h.\nAnswer: 992*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of 3*f**2 + 0 - 1\/6*f**4 + 0*f + 1\/30*f**5 + 1\/3*f**3. Factor o(q).\nAnswer: 2*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -24, 5 in decreasing order.\nAnswer: 5, -11, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1440) + sqrt(1440)*-1)\/(sqrt(128)\/sqrt(4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/24)\/((-12)\/(-96))*12\/40?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 l when three letters picked without replacement from {x: 3, l: 12, b: 3}?\nAnswer: 33\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5652)\/24492)\/((-3)\/169)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of -c**6\/120 + c**5\/10 - c**3 - 8*c**2. Determine x(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78\/(-429) + 6\/154?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -338?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7806976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(102)\/((sqrt(42) - sqrt(42)*-1)\/sqrt(7)).\nAnswer: 2 + sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**16*b**(-17)*(b*b\/(b\/((b*b**(-20)\/b)\/b))*b)\/(b**(-31)*b*b) assuming b is positive.\nAnswer: b**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/30*107)\/((-74266)\/(-185665))\nAnswer: -107\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 36927 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-4 - 0))\/((-1557652)\/9384 - -166)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3838 + 1495*j + 2385 - 2777 wrt j?\nAnswer: 1495","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 5*a**2 + 2*a + 1. Let i be -3*1*12\/(-18). Suppose -3*d = -3*v + 12, -5*d - 18 = i*v + 9. What is the remainder when 10 is divided by o(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from islsisii. Give prob of sequence slss.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 3*s + 2*s + (-5 + 4 + 4)*(-s + 2*s + 0*s) - 5*s + 3*s + 5*s)*(3*s - 3*s - 2*s).\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of v**4\/6 - 1178*v**3\/3 + 1177*v**2 + 119*v + 11. Factor x(l).\nAnswer: 2*(l - 1177)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -6*s**2 + s + 2. Let v be x(-1). Let q(d) = -d**2 - 9*d + 2. Let g be q(-8). Let o = g + v. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 1. Let h(z) = 50*z**2 - 40. Let f(c) = -120*b(c) - 3*h(c). Let d(t) = -3*t**2. Give d(f(v)).\nAnswer: -2700*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 114731777 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21800 is divided by 606?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -4*y + y. Solve 0 = q + 1 - y for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3\/4, -1, -2, 1\/2, -4434?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 5. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 19 + 5 + -14.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*j = -34*j + 2. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3*z - 854 + 229, 5*z = 5*v + 1025. Suppose -211*b = -z*b - 280. What is the greatest common divisor of b and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 391 is divided by 88.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 420221 - 10497.11.\nAnswer: 409723.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/10 + 5*i + 40179\/10.\nAnswer: -(i - 227)*(i + 177)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -62.4 - -87. Let y = -29 + s. Let x = y - -4. What is the closest to -1 in -0.2, x, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - 1 - (-5)\/(-88). Let c = m - 1\/8. Let p = -99\/35 - -17\/7. What is the closest to 1 in c, p, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 362 in 3, -58, 2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -3*g - 3, -1 + 4 = 3*z + 5*g for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 451 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 117243 and 65135?\nAnswer: 586215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*t + 50 = -4*z, 124*z - 8*t + 3*t = 128*z - 6 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 186736 divided by 12.\nAnswer: 46684\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 362481 + 16?\nAnswer: 362497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.707873 years in months?\nAnswer: 104.494476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1092305?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 + 35. Calculate the highest common factor of r and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34420435 is divided by 8605012.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3887 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/11, 3, -0.06, 1.9, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4833313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 893922349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.701621065 to two decimal places.\nAnswer: 9.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(3)*-1)**2 + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7331, 12949, 18567?\n\"Answer: 5618*v + 1713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wddvwwwwddwzwwwdw. What is prob of picking 1 d and 1 z?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*c = -14*c - 16. Solve 2*o - 20 = 5*h, 0 = c*o + 5*h - 5 - 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(119) - sqrt(119)*3 - sqrt(119)) + sqrt(119) + sqrt(119) + sqrt(119))*-4)\/((5*sqrt(70))\/sqrt(10)))**2*-5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -9. Factor 0*b**2 - 2*b**4 + 2*b**3 - 6*b**3 - 2*b**u.\nAnswer: -2*b**2*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28507?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8449561.44998 + 8449472. Let r = -102.45 - y. Let b = r - -13. Round b to six decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0819 rounded to 1 dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -2\/2925 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006471110338 to 6 dps.\nAnswer: -0.000647","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -421540 (base 7) to base 16.\nAnswer: -11bc6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -10210*d - 725329. Determine p(-71).\nAnswer: -419","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8499409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + 17. Suppose 16 = -2*n + g, -3*g - a = 2*n - 2*g. List the prime factors of (-1235)\/(-25) - (-4)\/n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1801 or -1796?\nAnswer: -1801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40324?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 6*((sqrt(847) - (sqrt(847) + 2)) + -3) - (-4 + -6*(sqrt(847) + 1*sqrt(847)*-2)))**2 + 2.\nAnswer: 3828*sqrt(7) + 31335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 11) to base 2\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*s = 2116 - 1859 - 2633 for s.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.59 + 6.589917. Round y to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 96 - 320. Suppose -6*v + b = -2*v. Calculate the lowest common multiple of v and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 24*f - 1. Suppose -30867*d - 10 = -30872*d. Let y(v) = 1. Give d*y(k) + p(k).\nAnswer: 24*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3585 = 2*b - 2*p - p, 2*p - 1810 = -b. Is 5 a factor of (-6)\/14 - b\/(-84)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -429\/35 + 77\/5. Let u be ((-566)\/(-10))\/((-36)\/(-30)). Let j = u + -628\/15. What is the common denominator of j and b?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-11\/3)*u**(-5\/2)\/u)**(3\/23) assuming u is positive.\nAnswer: u**(-43\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 2. Let b(a) = -a + 17. Let y be b(10). Suppose -2*n - 4 = 2*l, 0 = -3*n - 5 - y. Suppose i = l*k - 5 - 4, i + 3*k - 6 = 0. Give q(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oysj when four letters picked without replacement from {y: 4, j: 1, s: 2, o: 3}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4024 and 34.\nAnswer: 68408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of -r**5\/60 - 9*r**2. Let j(q) = 64*q + 28. Let p(v) = 7*v + 3. Let y(b) = 3*j(b) - 28*p(b). What is o(y(l))?\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2653, -10566, -23761, -42244, -66021, -95098, -129481, -169176?\nAnswer: -214189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 19 = -2*b + 5, -t = 5*b - 20. Suppose 5*s = 3*d + 3 + 16, 0 = b*s - 15. What is the remainder when 4\/3*39\/d is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1114496 is divided by 500?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 26\/(-14) - (-10)\/(-700)*10. Does 20 divide (-304 + -8)\/(3\/n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -126 - -128. Is -1 greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -52*v - 47. Let z(g) = -49*g - 42. What is 11*o(x) - 12*z(x)?\nAnswer: 16*x - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -16 - 16?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.061458173507 + 3?\nAnswer: 2.938541826493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 69, 67, 65, 63, 61?\n\"Answer: -2*w + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -226*p + 28*p - 29*p to s + h*p and give h.\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/189)\/(4602\/20709)?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -g**3\/3 - 4*g**2 - 7*g + 3. Let z be q(-6). Calculate the highest common factor of 45 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3*u + 12, -5*c + u = -2*u. Suppose -5*n - 35 = -r, r - c*n - 105 = -2*r. Suppose f - r = 14. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**4 - 10*v + 756*v**3 + 14*v - 2151*v**3 - v to the form l + i*v + r*v**3 + u*v**2 + t*v**4 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 9:57 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkq when four letters picked without replacement from cqckkqkcckccckqcccq.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m + 6. Let b be r(4). Solve -3*a + 2*p = -p + 9, -5*a + 4*p = b for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-4))\/((-12)\/(-2)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + a = 239 + 57, -5*a - 20 = 0. Suppose -5*u = 5*y - z, -3*y + 5*y = 4*u. Let p be y\/14 + 17\/7. Solve p*q = -0*q - 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104655891?\nAnswer: 3, 199, 175303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/42 - ((-3772)\/840)\/23.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 11:44 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 559 and 344?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 819608763?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*s**3 - 5*s**2 + 5*s**2 - 3*s**3 + 2*s.\nAnswer: -49*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 74833*i**2*r**2 + 7*i*r**2 + 1307*r**2 - 6*r + 10 wrt i?\nAnswer: 149666*i*r**2 + 7*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n + 1. Let l(j) = -79 + 0*j + 2*j + 84. Let o be l(-3). What is t(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -28428, -58659, -88890, -119121?\n\"Answer: -30231*u + 1803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 3*t + 393 = 0, -f + 130 = 5*t + 17. Suppose -2*l - 2*v = -3*v - 263, -l = 3*v - f. List the prime factors of l.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -u + 29 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/10 and -123\/14896.\nAnswer: 74480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/15))**(-26)*n**(-7\/4)\/n**(-2\/29) assuming n is positive.\nAnswer: n**(3107\/1740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.022 + 0.008. What is the closest to u in -2\/19, 0.04, -0.5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -57.8, 501, -1\/5 in descending order.\nAnswer: 501, -1\/7, -1\/5, -57.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50268 is divided by 301.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that r**5\/5 - 36*r**4 - 392*r**3\/5 + 5142*r**2\/5 - 8393*r\/5 + 3822\/5 = 0.\nAnswer: -7, 1, 3, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/(-4))\/((-26)\/(-52)))\/(-5)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*l + 20 = -12*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + d + 1. Let v(n) = 5*n**2 - 7*n - 2. Let y(w) = -4*k(w) - v(w). Find g, given that y(g) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -5.5?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of u**4\/6 + 433*u**3\/3 + 5623*u**2 + 2236*u. What is the first derivative of v(c) wrt c?\nAnswer: 4*c + 866","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v**2 + 5*v + 2. Let g be 3*-1 - 9\/((-36)\/(-8)). Let d(h) = -15*h**2 - 24*h - 9. Let c(o) = g*d(o) - 24*y(o). Find m, given that c(m) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 4*x**2 - 6*x + 8. Let w be c(5). Solve -w*f + 4 = 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 + -45. Let w be 3\/5 + (-6)\/y. Suppose -2*o + 45 = -w. List the prime factors of o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 5*i**2 + 4*i + 3. Let v(a) = 10*a**3 + a**2 + 6*a - 7. Let r be v(1). Suppose 0*x + 28 = 2*x. Suppose -x = z - r. What is n(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, x: 2}. What is prob of sequence fxx?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000067295 rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-5)\/(c\/(c*c*(c**(-5)*c)\/c)*c))\/(c**(-3)*c**(-2)\/c*c))**(-44))**(-32) assuming c is positive.\nAnswer: c**(-7040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/75*(-4)\/(-28)*1876\/(-201).\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15238887461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 12:12 AM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25.3 + -23. Let s = r - -0.7. Which is the smallest value? (a) -2\/3 (b) s (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120 divided by -15\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 10*s. Let g(a) = -553*a**2. Calculate g(w(c)).\nAnswer: -55300*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 6:48 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -665806000 to the nearest 1000000.\nAnswer: -666000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 13*z**2 + 14*z - 11. Suppose 3*p - 24 = 12. Calculate the remainder when 22 is divided by q(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 13, e: 5}. What is prob of sequence eaa?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28117906.\nAnswer: 2, 14058953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 472684 <= 472674?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yymmyyymyy. Give prob of sequence mmm.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 5*y**2 + y. Let u be i(-1). Suppose 4*g = -u*m + 8*g + 252, 5*m + 4*g = 270. Let r = m + -18. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 8:24 AM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/15 of a millennium?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 837 + -838. Which is the smallest value? (a) -0.017 (b) 2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 480a6 - -21?\nAnswer: 480c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4226\/10 - (-142)\/355.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -60 - -60. Let g = 57 + -55. Solve z = l + g*l - 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 8 - 386*j + 387*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(2156) - (sqrt(2156) + 4 + -2*sqrt(2156) + sqrt(2156)))**2.\nAnswer: -8688 + 448*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127326118 is divided by 68308.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 30*n**2 + 265*n + 2610. Let h(t) = t**2 + t - 1. Let j(r) = -25*h(r) + l(r). Factor j(z).\nAnswer: 5*(z + 17)*(z + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 6 + 4*o - 9*o)*(0*o**2 + 0*o**2 - 6*o**2) in the form c*o**3 + l*o + h*o**2 + q and give h.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 4 = q, 2*q = 7*q for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + (-1 - (3 - 42))\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 94*v**2 - 22*v + 91. Let y(r) = -157*r**2 + 44*r - 180. Let t(z) = 5*l(z) + 3*y(z). Determine t(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 122 - 127. Calculate the remainder when 21 is divided by (3\/(-9))\/(y\/165).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -i + 12. Let a be (-4)\/(-6) - 16\/24. Suppose 5*j - 33 - 47 = a. What is the greatest common factor of j and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9, 2, -1, 0, 5, 14, 27?\n\"Answer: 2*g**2 - 13*g + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = h + 2*s, 5*s = -0*h + 3*h - 6. Suppose 3*c + 4 = 5*p, 2*p + h*p - 13 = c. Solve 3*b = c + 8 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4400 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-7))\/((-186)\/8680). Let q be ((-3558)\/510 + 7)\/(1\/l). Let -54\/17*d**3 - 8\/17*d + q - 108\/17*d**2 + 54\/17*d**4 = 0. What is d?\nAnswer: -2\/3, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccgccgggcc. Give prob of sequence ggc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v**2 - 22*v + 11. Suppose 0 = -2*r + 97 - 83. Let j be g(r). Put 0, j, -5, -2 in descending order.\nAnswer: j, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73 + 53 + 61 - 3714*s - 187.\nAnswer: -3714*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/188712 and 125\/125808?\nAnswer: 377424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 23*c**2 - 18*c - 7. List the prime factors of v(22).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 6*v = -50. Let y(z) = z**3 - 8*z**2 + 8*z - 10. Let p be y(7). Sort v, 1, -4, p in descending order.\nAnswer: 1, p, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2621869 = -o, 5*o - 13109336 = -3*n + 4*n. Let s = o - 1719867. Round s to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 10*w**2 - 8*w + 6. Let v(d) = -d**3 + 9*d**2 - 9*d + 6. Let m(h) = 2*n(h) - 3*v(h). Let s be m(7). Let p = s + -32. Is 14 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*x + 2*x**2 - 5*x + 2*x**2 + 13*x as s + i*x**2 + q*x and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 26*u**2 - 5*u + 5. Suppose -96 - 244 + 55 = -285*h. Calculate r(h).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 312*y + 1673. What is t(-5)?\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = 1654*o - 1656*o - 46, -3*o - 88 = -4*z for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13872 + 13878. Calculate the least common multiple of 3051 and f.\nAnswer: 6102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 87 - 83. Suppose -10 = -8*i + 3*i, z*a - 20 = -2*i. Solve -9 = a*t - 25 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 8. Let u = -1 + 5. Let h = u - 2. Solve b + 2*b - 3 = 0, t + r = h*b for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1740.4 + -1742.4. Which is the closest to 5? (a) r (b) -1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195344624?\nAnswer: 2, 19, 642581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 48470707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - -13) + (2 - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4515.\nAnswer: 3, 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2046 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -11*m**2 - 17*m - 68. Let t(o) = -2*o**2 - 3*o - 12. Let k(g) = 6*h(g) - 34*t(g). Let u(z) = 220*z - 2. What is k(u(j))?\nAnswer: 96800*j**2 - 1760*j + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001111011011000 (base 2) in base 11?\nAnswer: -28608","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -2. Let p be (-1 - -1)\/(-3) + 1. Let d be p*(-1 + 0) + 0. Put d, c, 2 in decreasing order.\nAnswer: 2, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x + 6. What is b(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 797 = 2*z - 1187. What are the prime factors of z?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -41*s + 2*s**2 - 3*s**3 + 59 - s**2 + 158*s - 132*s as v*s**3 + o*s + n*s**2 + m and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 44 * -0.1.\nAnswer: -4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 191763 and 64368.\nAnswer: 9204624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -787044 and -1.4.\nAnswer: 1101861.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29*j**6*n**2 + 12*j**3*n**2 - j**2*n**2 + 230*j**2*n wrt j?\nAnswer: -3480*j**3*n**2 + 72*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81\/7*i**2 + 30\/7*i + 9 - 12\/7*i**3 = 0.\nAnswer: -7, -3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, o: 3, k: 1}. What is prob of sequence oi?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 44*j + 1. Let f be s(10). Suppose -2*u = -a + 3*u + 109, 0 = -5*a - u + f. Round a to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a6 (base 12) in base 8?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)*-2*-5 + (sqrt(190)*1 + sqrt(190))*3)\/((sqrt(30) - (sqrt(30) + (1*sqrt(150))\/sqrt(5) + sqrt(30)))\/(sqrt(48)*-1)).\nAnswer: 32*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -60, -85, -112, -141?\nAnswer: -172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 430064 a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 15*o - 42. Let v(k) = -2*k**2 - 24. What is i(v(l))?\nAnswer: -30*l**2 - 402","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**3\/(o\/((o\/(o\/(o*o**(1\/15))*o*o)*o*o)\/o))*o**12\/o**(-2\/3))**(-39) assuming o is positive.\nAnswer: o**(-2873\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47 + -28. Let c = -16 + g. Solve 2*q + 3*q + 35 = -5*r, -5*q - 19 = -c*r for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.006 + 0.106. Let i = 307.72 + -313. Let j = 0.28 + i. Which is the closest to w? (a) 0.5 (b) j (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*y**3 + 2 - 2 + (-4*y + 5*y + 4*y + (1 - 2 + 0)*(6*y + 2*y - 4*y))*(y**2 + 6*y**2 - y**2) to the form t*y + p*y**3 + k + r*y**2 and give p.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 17 + (9 - -5) + -4 + 3\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7512.17 decades to millennia.\nAnswer: 75.1217","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 40 = -5*i. Which is smaller: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 9:42 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 3, 3\/7, 0.1788, 1\/3 in decreasing order.\nAnswer: 3, 2, 1, 3\/7, 1\/3, 0.1788","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -25*u**3 + 1048*u**2 - 10932*u - 876. Let s(w) = 50*w**3 - 2096*w**2 + 21867*w + 1754. Let d(n) = 5*a(n) + 3*s(n). Determine k, given that d(k) = 0.\nAnswer: -2\/25, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9965 + 10032. Calculate the remainder when 187 is divided by p.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + c = -195 + 68, -c - 3 = 0. Let r = -53 - m. Suppose 0 = -4*u + 8 + 88. What is the remainder when u is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*q**3 + 6*q**2 + 4629*q + 351630 wrt q.\nAnswer: -6*q**2 + 12*q + 4629","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33226*b + 15576 = 31810*b for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -16*q + 7. Let n(r) be the first derivative of 5*r**2\/2 - 2*r + 10. What is 7*n(f) + 2*v(f)?\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 7*p = -214041, -v + 609*p - 610*p + 42805 = 0. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 6. Let i = 12 + 4. Let p = -18 + i. Which is the smallest value? (a) 6 (b) j (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 4:41 AM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3310 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5.8 and -2.1527?\nAnswer: 3.6473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + 1. Let s(b) = b**3 - 9*b**2 + 3*b - 13. Let q be s(j). Calculate the highest common factor of q and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2 - 6 + 2 - y. Let q be x(-4). Find the third derivative of p**2 + 5*p**6 + 0*p**q - 7*p**6 wrt p.\nAnswer: -240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from -0.31475.\nAnswer: -4.31475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-144)\/192 - 9\/(-6)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1680*-43.\nAnswer: -72240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-12)*-20*(-207)\/2760.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5*u = -14, n + 2*u = 5*n - 12. Let h be 14\/63 - n\/18. Suppose h*d + 2*d = -4*k + 70, -6 = -2*d. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0286604 to three decimal places.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2222720 a multiple of 1208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -141.43 + 85023\nAnswer: 84881.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1932 and 36120?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 85031 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11427901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(4 + -3 + 1). Let b be -1 + 1 + o + 5. Suppose u - 2*u + 1 = 4*l, -l + 5 = b*u. Solve 0 = -l*d + 2*d - 2*x + 6, x = 3*d - 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1 + 7*m**2 - 29*m**2 - 2.\nAnswer: -22*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -55352 + 36054. Round j to the nearest 1000.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20.3 + -20.2. Let l = -151 - -271. Let t = 2042\/17 - l. Which is the closest to 16? (a) t (b) o (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29783510 a multiple of 670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of r**6\/120 + 7*r**5\/60 - 7*r**4\/24 - r**3\/2 - 19*r**2 - r. Give p(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 621 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, x: 1, v: 6, a: 2, w: 1}. What is prob of picking 1 a and 1 w?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -43140 rounded to the nearest one thousand?\nAnswer: -43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 243257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2306, -2305, -2304, -2303, -2302, -2301?\n\"Answer: l - 2307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -187159170 by 6.\nAnswer: -31193195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -540178327*i**3 - 22*i**2 - 1841*i - 471 wrt i.\nAnswer: -3241069962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j - 9*j + 12 = 2*s, 2*j = -5*s + 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 1\/8, 0.16, 36, -4, -1 in descending order.\nAnswer: 36, 0.2, 0.16, 1\/8, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41 + 36. Let o = -80.7 + 81. Sort k, -13, o, 5.\nAnswer: -13, k, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -8*j**2 + 14*j - 12. Suppose -5*n - 1320 = -16*n. Suppose -4*q = -14*q + n. Let k(a) = a**2 - a + 1. What is q*k(z) + i(z)?\nAnswer: 4*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 324753 by -5.\nAnswer: -324753\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9522, 9371, 9124, 8787, 8366, 7867, 7296, 6659?\n\"Answer: f**3 - 54*f**2 + 4*f + 9571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 5*o - o**3 + 1 - 3 + 5 - o + o**2. Suppose -8 = l + 2*v, 0 = l + 5*v + 9 + 8. Is 7 a factor of r(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 16*a**3 + 40*a**2 - 27*a + 8. Let n(m) = 7*m**3 + 19*m**2 - 13*m + 4. Let p(u) = 7*n(u) - 3*s(u). What is the remainder when p(5) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xo when two letters picked without replacement from {u: 6, o: 2, x: 5}?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 22562739 a multiple of 2041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j + 1. Let d(g) = -1 - 5 + 5. Let z(c) = -2*d(c) - m(c). What is z(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 3\/2 (c) 0.04 (d) 36 (e) -3 (f) 1030\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -77, -81, -81, -77, -69?\n\"Answer: 2*s**2 - 10*s - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -n**3*s - 82*n**3 - 2*n**2*s**2 + 68*n*s**2 wrt s?\nAnswer: -n**3 - 4*n**2*s + 136*n*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.642 to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 87\/281?\nAnswer: 87\/281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 1:00 AM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63)\/27*(-28)\/49.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 21*t**2 - 31*t + 87. What is the units digit of l(-21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 11 - 11)*(32 - 4 + 36 - 2).\nAnswer: 62*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -60188*o - 53759?\nAnswer: -60188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1000110 (base 2) to base 6\nAnswer: -154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72150 and 76830?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14680 is divided by 14373?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 7:07 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 1093 and 1092 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1775*z**2 - 3548*z**2 - 53*z**3 + 1773*z**2.\nAnswer: -53*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5582, -3, -5, 5 in decreasing order.\nAnswer: 5, 3, -3, -5, -5582","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 - 5)*(-3*s**2 + 0*s**2 + 5*s**2).\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 406 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51476 + 165253. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -6*z + 12. Suppose -72 = -2*j - 2*j. Let x = j - 17. Solve h + x = z for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7190100 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -20 (b) -2093 (c) -3 (d) -1 (e) -0.4 (f) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 + 14.2. Let p = y + -14.09. Let d = p + 0.03. What is d rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q - 6*q - 2 + 7*q)*(4*q**2 - 5*q**2 + 11*q**2)*(-2*q - 2 + 2 + (-2*q + 5*q - 5*q)*(-2 - 2 + 2) - q - q + 0*q + 0*q - 3*q + 4*q).\nAnswer: -20*q**4 - 20*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 450 and 450.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*a + 12*a. Suppose 0 = 5*n + 2*h - 15, 0 = n - 3*h - a - 3. Let p = 0 + -2. Sort p, -4, n.\nAnswer: -4, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.8+-270\nAnswer: -270.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38756, -40063, -41370, -42677, -43984?\nAnswer: -45291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-3)*(-3 - 0)*1. Suppose -3*q - p*g + 15 = 87, -100 = 4*q + 5*g. Which is smaller: -21 or q?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -12*z + 348. Give w(30).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 12*d + 5. Let u be f(12). Let l = 19 + -16. Suppose -3*o = 0, 0 = -l*m + 5*o - o. Solve u*p + 3*v = -31, m*p - 5*v = -4*p - 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 185*x**2 + 145*x - 100. Let o(u) = 23*u**2 + 18*u - 12. Let g(i) = 25*o(i) - 3*r(i). Determine b, given that g(b) = 0.\nAnswer: -3\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 14764, 29527, 44290, 59053, 73816?\n\"Answer: 14763*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a hour in seconds?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - (11 + 22) - -27.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/131, 3, 3\/103, 1, 1\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3201824701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5 + 0. Let w = 10 - -8. Let m be w\/10 - 1\/(-5). Which is the third smallest value? (a) n (b) 0.1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 1:35 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 173423 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2957862907688.000001927 - -2957862909914. Let x = m - 2226. What is x rounded to seven decimal places?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 228 and 6876?\nAnswer: 130644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/8 and 1\/(-6)*(-1659)\/56.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6644 + 6644 - 6*c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 5*c**2 + c - 26. Calculate a(-5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**3 - 6*q**2 - q + 2. Let p be ((-70)\/22 - -3) + 31\/(-11). Let u be j(p). Solve u*k + 2*n = -11, -4*k - 3*n - 19 + 6 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2720 divided by 5.\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 2*w**2 + 348*w + 249. Calculate f(20).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (97*j + 22 - 43 + 21)*(-11*j**3 + 14*j**3 + 9*j**3).\nAnswer: 1164*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-3 - -4) + (1 + -2 - 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a meter in centimeters?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -5. Let s(l) = -2 - 10*l - 11 - 4 + 11 - l**i. Give s(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 3*x + 4*s - 384, -s = 4. Suppose 104 = 8*w - 56. Calculate the highest common divisor of x and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 times 5?\nAnswer: -0.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -628768 divided by -78596?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 186 + -97. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -7*s - 1. Let n be m(-1). Suppose -n = -3*f, -f + 2*f + 26 = 4*p. Is 7 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14)\/(-18) - 4\/(-18). Let i be 866\/12 + z\/(-6). Calculate the highest common divisor of i and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-26)\/(-10) + 9\/(-15). Suppose w = -x*w + 42. Suppose 0*f - 2*f + w = 0. What are the prime factors of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/4*2*(1492\/(-1865))\/(2\/85).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16214.\nAnswer: 2, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132330120230 (base 4) to base 14.\nAnswer: -1112204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 2*y = 5 + 5, 0 = -5*v + 2*y + 8. Suppose -2*r + 12 + v = 0. Suppose -r = -2*l + 29. What is the remainder when 35 is divided by l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2, -0.20923, -3?\nAnswer: -0.20923","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j + 5*j - 10. Let w = -5 - -4. Let o be 0 - j - (-3 - w). Is o bigger than -1\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.24349 to two dps.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2*p - 24 = 0, -2*g - 8 = 4*p - 20. Suppose -4*x - g = -7*x. Is x less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 187 = -33. Suppose 4*s - 210 - u = 0. Calculate the highest common factor of 13 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.23 + -13.23. Let s = i - -13.00024. Round s to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5431 - 5433. Let b = -2 - -6. What is the nearest to -11 in -4\/7, d, 0.5, b?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -234715, -234727, -234739, -234751, -234763?\nAnswer: -234775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3\/20 - 19\/140. Suppose 3*a + 2*c = -26, 6*a - 5*c - 44 = 10*a. What is the second smallest value in h, 3\/7, a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 943*z + 13206. Calculate b(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + -26 + (-3179)\/(-68) + -10?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41949490, 41949493, 41949496?\nAnswer: 41949499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 33157 = j - 2*j, k + 5*j = 8284. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/(-135))\/(((-660)\/(-12))\/495)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 167153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 167031389 and 12306.\nAnswer: 2051","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pii when three letters picked without replacement from itttdidtpttkbitii?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22180 + 33660. Does 152 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1065 + 1319. Calculate the remainder when h is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270\/81*12\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 11, b: 8, i: 1}. What is prob of sequence ziz?\nAnswer: 11\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 25 = -0*u, -2*w - u + 67 = 0. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - -27 - (-10 - (42 + -51))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v + 1. Let i(z) = 105*z + 123. Let g(n) = -2*n + 2. Let o(f) = 5*g(f) - i(f). Let y(m) = -o(m) + 6*t(m). What is the first derivative of y(w) wrt w?\nAnswer: 121","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 175 - 348 + 177 - k. Suppose -3*i = 15, 4*i + 25 = l + 2. Suppose 3*m = l*j + 33, -3*m - 4*j - 4 + 2 = 0. What is u(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -173.842 to 0 decimal places.\nAnswer: -174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.8 + -2.8. Which is the closest to -1? (a) -0.4 (b) d (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 0.01137767?\nAnswer: -1.01137767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -31, -61, -115, -205, -343, -541?\n\"Answer: -2*q**3 - 16*q - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 97669 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - (-15 + (-6)\/(-2)). Does 24 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53 - 227 - 20 + 8*h**2 - 351.\nAnswer: 8*h**2 - 651","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -373*i = 2791648 - 16176753. List the prime factors of i.\nAnswer: 5, 7177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 252786?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1021 + -10?\nAnswer: -1031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 2:29 AM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 10*m**2 - m + 5. Is u(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1710583891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of r**4\/4 - r**3 + r**2\/2 + 24*r + 10. Is v(17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3 = -4*u, 7*o = 2*u + 4*o - 3. What is the second derivative of u - 2 + 3*p + 2 + 3*p**2 wrt p?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9756332, 19512668, 29269004, 39025340, 48781676, 58538012?\nAnswer: 68294348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/56 and 69\/236?\nAnswer: 3304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 u, and 1 w when three letters picked without replacement from {w: 1, u: 9, j: 5, e: 1, d: 2}?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (6 + -8) - -8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0.1, -0.54 in descending order.\nAnswer: 6, 0.1, -0.54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10091, -19655, -29239, -38837, -48443, -58051, -67655, -77249?\n\"Answer: y**3 - 16*y**2 - 9523*y - 553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*l - 3*l - 20. Let l*r**2 - r**3 - r + 10*r**2 - 16*r**2 = 0. Calculate r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/4392 and 169\/28854?\nAnswer: 7040376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149 - 67 + 5*j**2 + 2*j + 85.\nAnswer: 5*j**2 + 2*j + 167","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 89, 0.039, 1?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 11:53 AM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 9 - 39 = 0. Suppose -4*t - 11 = d, -4 = 5*d + t - 6. List the prime factors of d\/1 - (s + -9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**5 - 1422708*j**4 - 6*j**3 + 2845416*j**2 + 3*j - 1422708 = 0 for j.\nAnswer: -1, 1, 474236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 10*v - 1. Let s(x) = -x. Calculate -i(k) - 2*s(k).\nAnswer: -8*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-7) - 19\/(-7). Let o = -3 + s. Solve p - 2*p + 4 = o for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-52)\/16*6*(-4)\/238. Let i = 8\/17 - u. Let o = -4.1 + -0.9. Which is the third biggest value? (a) -1 (b) i (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7329858 divided by -6441.\nAnswer: 1138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 40918197 to the power of 1\/2, to the nearest integer?\nAnswer: 6397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103003003 (base 4) to base 15.\nAnswer: 181b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 18*b**2 + 6*b + 10. List the prime factors of l(-6).\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 136260, 136261, 136262, 136263?\nAnswer: 136264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - 155. Let c = -156.5 - j. Let m = 6 - 4. What is the biggest value in c, m, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16009*i**3 + 10308*i**3 - 6962*i**3.\nAnswer: 19355*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -3*a + 13, a + 4*a + 5*f - 20 = 0. Suppose 0 = -2*u - u + a*j + 168, 4*u - 200 = -4*j. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50093*v + 50093*v + 0*v**2 - 5*v**2.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1042 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: What is (-4)\/24*0*(-5)\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2011*n**2*u**2 + 58*n**2*u - 4*n*u + 2*n wrt u.\nAnswer: 4022*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2274280027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 1601*o - 6423. Determine f(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -28*c**2. Let z(u) = -2*u**2 - 8*u - 8. Let w(g) = g**2 + 5*g + 5. Let k(x) = 8*w(x) + 5*z(x). Determine k(b(p)).\nAnswer: -1568*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -36*d**2 + 15*d. Let j(l) = -5*l**2 + 2*l. Let c(i) = -2*a(i) + 15*j(i). Let z(r) = 3 + 480*r + 1 - 3 + 2 - 473*r. What is z(c(s))?\nAnswer: -21*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 5*s**2 + 3*s + 6. Let q(p) = p**3 - 5*p**2 + 2*p + 6. Let c(n) = 2*j(n) - 3*q(n). Let y(m) = -m**2 + 7*m - 5. Let o be y(5). Give c(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*q**2*w**3 + 27616*q**2*w**2 - 4*q**2 - 149*q*w**3 - 3*q*w**2 + 90*w**3 + 2*w**2 - 5*w wrt q?\nAnswer: -10*w**3 + 55232*w**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 704 a factor of 49114452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2374466813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-916)\/3 + (1 - 4\/6). Let o = -181 - g. Calculate the remainder when o is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -2*r**4\/5 + 46*r**3\/5 + 528*r**2\/5 + 1504*r\/5 + 1024\/5 = 0.\nAnswer: -4, -1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18702 and 24?\nAnswer: 74808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1\/(((p\/((p**(-3\/2)*p)\/p))\/p)\/p*p))**(-46)\/(((p\/(p*p\/(p*p\/p**(-5\/3))*p))\/p**3)\/(p*p**(-3)*p*(p\/p**(-4\/7))\/p)) assuming p is positive.\nAnswer: p**(502\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 20, -4, 2 in descending order.\nAnswer: 20, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 1:50 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 5 - 3)*(-39 + 39 + 2*a) to the form f + r*a and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 7:33 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 26451 times -0.4\nAnswer: -10580.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k. Let b(j) = 127*j**2 + 5. Let c(p) = 190*p**2 + 7. Let i(q) = 7*b(q) - 5*c(q). Calculate i(o(a)).\nAnswer: -61*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*x = 6*x + 93 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 67*t**2 + 37*t**2 - 13*t**2 - 18*t**2 + 100 + t wrt t?\nAnswer: 146*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4*x = 838. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -9*j**3 + 2*j**2 + 22*j**3 - 12*j**3 + 45*j**3 - 3. Is x(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 67 + -37. Calculate the highest common divisor of 60 and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.552, 2\/7, -1.93, -0.5?\nAnswer: -1.93","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 6*k**2 + 2*k + 9. Let f be x(-6). Suppose 5*o + 25 = -5*y, -20 = -27*y + 31*y. Put 4, f, 3, o in descending order.\nAnswer: 4, 3, o, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4724 - -4769. Let -195*b**3 + 33\/2*b**2 + 507\/4*b**4 + 27\/4 + i*b = 0. What is b?\nAnswer: -3\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 1\/4, -1, -3, -2\/135, -2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2898 (b) -1 (c) 4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 366667\/3*d**3 + 3*d + d**2 - 8. Let o be z(-3). Round o to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 - 31 = -3*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -38*k - 99. What is g(-6)?\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26442 divided by -13221?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16\/65 in 3\/4, -0.02, -3, 5, 0.074?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(325)*-2 - sqrt(325))*-5)**2 + 4 + (-1*sqrt(325)*1)**2 + (sqrt(325) - (sqrt(325) + -1 + sqrt(325) + -5)) + 0.\nAnswer: -5*sqrt(13) + 219710","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-14) - (696\/21 + 8). Which is smaller: -43 or m?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 713*z - 15 + 21*z**3 - 1451*z + 738*z.\nAnswer: 21*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -18*n - 12. Suppose -2*t = 2*c + 22, -t - 4*c - 33 = 2*t. Let l(j) = 10*j + 7. Let r(w) = t*l(w) - 6*o(w). Give r(-10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -82*a**2 + 14*a**2 - 3 + 3 in the form o + v*a**2 + k*a and give v.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, s: 1, b: 3, q: 3, a: 3, x: 2}. What is prob of picking 2 a and 1 x?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 2*z + 5*z)*(6*z**3 - 4*z**2 - 2*z**2 + 4*z**2).\nAnswer: 30*z**4 - 10*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -7. Let g = -8 + m. What is the third smallest value in 3, g, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3909*u + 3910*u + 5*o - 10, 5*u - 2*o + 4 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 8 + -8 - -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 8\/11, 5, 0.079, -3\/11, 4?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 70*v**2 - 17*v + 13. Let x(g) = -23*g - 2. Let q(o) = 35*o**2 - 54*o + 2. Let h(j) = -q(j) + 2*x(j). Calculate 6*d(r) + 13*h(r).\nAnswer: -35*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25.8 - 51. Let i = t + 25.5. What is the fourth biggest value in i, -3, 5\/6, -2\/17?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2933, -2855, -2767, -2675, -2585?\nAnswer: -2503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 194, -0.3, 0.1.\nAnswer: -0.3, 0.1, 13, 194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3718980*0.8.\nAnswer: -2975184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1319421?\nAnswer: 3, 17, 41, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -26441413 (base 7) in base 3?\nAnswer: -11120110211101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 16078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/(-21)*(-114)\/4. List the prime factors of -1 + (d - 3) - 0.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -2*z + 8, 6*z = -2*t + 3*z + 4. What is a in 2*a + 2*a**t - 2*a**2 + a**2 + 0*a**2 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14\/25 + 131\/100. Let a be (2\/(12 - 2))\/1. Let r = 1178\/7 + -168. What is the second biggest value in r, a, c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-501)\/668)\/(14\/8).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -310 by 31011.\nAnswer: -310\/31011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kz when two letters picked without replacement from {z: 1, k: 1, p: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/(-4)*(-2)\/(-3). Let n(h) = -h**3. Let d be n(-1). Let y be (-10)\/(-8) - d\/4. Put -5, y, x in increasing order.\nAnswer: -5, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (6 - -8 - 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 179, -2\/9, 53\/4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*5\/(-50))\/(6\/(-75)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 32 (b) -45 (c) 617 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 594 and 2046.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6784 - 3617. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*i**3*x**3 + 103*i**3*x**2 + 151*i**3*x + 15*i**2*x**3 - 29729*i*x**3 wrt i.\nAnswer: 36*x**3 + 618*x**2 + 906*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12032 + 101033313?\nAnswer: 101021221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -54*g*r**2 + 3*g*r + 2*g - r**2 + 2*r - 2 wrt r?\nAnswer: -108*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1421193 to the nearest integer?\nAnswer: 1192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39 + (-4 - (22 - 46) - 37)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a microgram in nanograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-16))\/(375\/150).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/75 of a week?\nAnswer: 16128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2. Let i(u) = 32*u + 5. What is i(v(r))?\nAnswer: 64*r**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 52, 257, 824, 1933, 3764, 6497, 10312, 15389?\n\"Answer: 30*q**3 + q**2 - 8*q + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 22*i**2 + 23*i - 206. Is a(8) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 12, -4*c - 98*r + 97196 = -94*r. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ayay when four letters picked without replacement from {a: 4, y: 14}.\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*c - 4 = -20*c. Do c and -3\/167 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5*1 - (1 - 2)*-3. Suppose -8*w + 26 = a. Is w != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37629 and 2664.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r. Let c(h) be the second derivative of -5\/24*h**4 + 0*h**3 + 0 - 3*h - 1\/2*h**2. Let y(q) be the first derivative of c(q). Give n(y(x)).\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**31*f\/(((f\/(f\/(f*f**21)))\/f)\/f)*(f**(-3\/7))**(16\/5) assuming f is positive.\nAnswer: f**(-1763\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2, -69, -270, -667, -1326?\n\"Answer: -11*r**3 + r**2 + 3*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/(1\/(15\/120*(-16)\/(-2))).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7 - ((3 + -2 - 3) + 7). Solve -14*c + 19*c = -3*z + 9, -z + 3 = -j*c for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180178 - 180178 + 4175*k.\nAnswer: 4175*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 3*n**2 - 1. Let p(q) = 2*q + 4. Let v be p(-3). Let o be c(v). Suppose -o*a = -2*a - 20. Is 10 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6052*y - 6203*y - 7701 for y.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -5*z + 30, 14 = -3*z + 4*z - 2*g. Suppose 2*d - z*d = -8. What are the prime factors of (-31 - 0)\/(d - 5)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*z**3 - 5*z**2 + 2*z**4 - 10*z**3 + (6787 - 6787 + 742*z)*(0*z**2 + 0*z**2 - z**3).\nAnswer: -740*z**4 - 5*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -480.25 rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q - 23*q**2 + 0 + 1 + 24*q**2. Let j be a(-1). Suppose -4*v - 5*f - 7 = -j*v, 3*f = 2*v - 13. Is v a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186 is divided by 78?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 182*k**2 - 371*k**2 + 13*k + 178*k**2. Let o(h) = -5*h**2 + 6*h. What is 6*i(q) - 13*o(q)?\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 108*x**2 + 112*x + 353. Give f(-109).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 8*o. Let r = -29 - -60. Let a = r + -35. Let l(j) = -2*j**2. Let u(f) = -f**2. Let t(q) = a*l(q) + 9*u(q). What is t(m(s))?\nAnswer: -64*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94582, 94594, 94606, 94618?\nAnswer: 94630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + 16. Suppose -l + h = 33. Let u be 2*(-4)\/(16\/14). Is l bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 2\/11 (c) -0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, e: 7, y: 2, q: 5, s: 1, z: 2}. What is prob of sequence zy?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ld when two letters picked without replacement from yldlyldllldyd?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 500019 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 353*p - 356*p + 10, 0 = -3*g + 4*p - 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45135 (base 6) to base 2.\nAnswer: 1100010110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 1.525244\nAnswer: 0.4575732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/6*0 - 2. Let m = 27 + k. Let h = m + -10. Is 13 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*b - 85 = 46*b. Let f = 18 + b. Solve 2*s + f = -5*z, -s - 2 = -4*z - 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence et when two letters picked without replacement from bbttecbcteeecebtcbbt.\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -9.1 (b) 0.3 (c) -8 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -2\/9*p**3 + 1\/15*p**5 + 0*p**2 + 0*p**4 + 3 + 1\/3*p. Suppose a(t) = 0. What is t?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**5\/5 + 3*i**4 - 48*i**3\/5 - 64*i**2\/5.\nAnswer: -i**2*(i - 8)**2*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 2 = -2*s, 51*k - 3*s = 55*k + 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -q**5 - 119897278*q**4 + 19454*q**2 + 605*q + 2 wrt q?\nAnswer: -60*q**2 - 2877534672*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2711 - -10943\/4. Let k be (88\/12)\/(1\/15). Calculate the common denominator of r and ((-94)\/k)\/((-18)\/45).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 22*m - 404. Let j be y(22). Calculate the greatest common divisor of 55 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 48280 and 48281 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9c6 - 3c?\nAnswer: 987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-20)*221400\/(-820)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*a - 7695 + 4397 = -28*a for a.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*j = 82*j + 105. Let h(w) = -w**3 + 6*w**2 - 6. Suppose 5*g - 5*v + 0 = 10, -g = 2*v - 11. Calculate the remainder when j is divided by h(g).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + -37 - (2 - (7 + 6 + -3))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159754686?\nAnswer: 2, 3, 7, 13, 71, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zqffqfffffffqzfff. What is prob of picking 2 q and 1 z?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 8:39 AM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-2)\/(-4)*510\/(15\/1).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*s = 107*s - 35. Suppose -2*q - 10 + 50 = 0. What is the remainder when q is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-69 + 43 - 81*a + 25)*(-2 - 2 + 5)*(7 - 2 - 3) as f*a + k and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34191 is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 7) + 3 - 2. Let s be (-3)\/6*2*y. Suppose -s*q = 4*h, -h - 3*q + 2*q + 1 = 0. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/(-125)*-3*1.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -13 - ((78 - 88) + 21 + 2)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3165 = 5*d - 4*i, 2*i = 6*d - 3872 + 88. Calculate the remainder when d is divided by 59.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.22 times -64468\nAnswer: 14182.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 45827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(-o**4 + 3*o**4 - 4*o**4) + o + 2*o**4 - o.\nAnswer: -2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 66077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2713229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 6*i - 17. Suppose -6*h + 61 = -28*h + 149. What is g(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1323 and -1\/22 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -7 - -3 - 25 - -24.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -89029\/4 - -23048. Which is bigger: 792 or l?\nAnswer: 792","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o**2 + 5*o - 8. Let g be z(6). What is the common denominator of (2\/(-1))\/(72\/g) and (((-44)\/(-72))\/(-1))\/((-2)\/(-21))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2003, -2007, -2011?\nAnswer: -2015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 643.571 + -1.571. Let c = b - 286. Let y = c - 355.999839. What is y rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 12 = -0*l - 2*r, 3*l - 5*r = 12. Let y be l\/(-2) + 28 + -6. Suppose 5*t + y = 3*g, g - 2*g - 5*t = 0. Is 5 not equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3430751709.\nAnswer: 3, 7, 11, 307, 6911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-30)*(1 - 11). Let m = 13550 - 13547. Let s = -30 + 91\/3. Which is the third smallest value? (a) m (b) s (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -109, -822, -2749, -6496, -12669, -21874, -34717?\n\"Answer: -101*y**3 - y**2 - 3*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 684.261 times 0.23\nAnswer: 157.38003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-189 + 1096*t + 617 + 308 - 1147*t)*(3*t - 2*t - 3*t).\nAnswer: 102*t**2 - 1472*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 v, and 1 o when three letters picked without replacement from {v: 4, o: 2, l: 6, n: 1, s: 2}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94, -105, -120, -139, -162?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46606.\nAnswer: 2, 7, 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q + q + q - 2*q + 0 + 0 + 4*q + q - q + (1 - 5 + 2)*(-3*q + 5*q - 4*q) as a*q + d and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -18, 4, 0, -6, 2 in decreasing order.\nAnswer: 4, 2, 0, -2, -6, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/15*3)\/(3\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 (base 16) in base 15?\nAnswer: 17c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.2 + 0.2. Let t = 2.99986 + o. Round t to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (6 - (3 - -1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -5*d - 4*h - 1, 4*h - 9 = -5*d. Suppose 5*a + 0*u = -2*u, -4*a + d*u = 0. Suppose -5*f + q = -399, a*f - f - q = -75. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 148421277?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 55782016319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-254*k + 10 - 14 + 1)*(3 - 3*k**2 - 3) in the form f*k**2 + b*k + t*k**3 + z and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183477889?\nAnswer: 7, 17, 19, 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -q**6\/120 + q**5\/15 + 53*q**2\/2 - 50. Let f(k) be the second derivative of a(k). What is c in f(c) = 0?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.1, -134, -5\/2, -4271?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 564 and 1332?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 57 + -30. Is r a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2769 (b) -2 (c) -2.3 (d) -1 (e) 1 (f) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1018?\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8264174 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**5\/4 + 623*c**4\/4 - 10289*c**3 + 96903*c**2 - 153900*c = 0.\nAnswer: -684, 0, 2, 9, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 4)\/12 - (-2098)\/172. Let g = a + -30\/43. Find the common denominator of g and (-1)\/((-1)\/15*-41).\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**5 - 135*v**4 - 1968*v**3 + 6804*v**2 - 4704*v = 0. What is v?\nAnswer: -14, 0, 1, 2, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 + 151 = 10*b. What is the closest to b in -0.4, -4, -0.11, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38032698 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 3*l - 55. Let h be v(-10). Suppose 4*b = -3*c + 291, -3*b + 5*c = -237 - 3. Calculate the greatest common factor of b and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2486199682?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t - 3 + 44*t - 5*t + 23*t. Is d(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) 4 (c) -22 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*v**2 - 16*v**2 + 11*v**2)*(4 - 4 + v**2) - 2*v**4 + 2*v**4 - 4*v**4 + (3*v**3 + v**3 - v**3)*(-v - 10 + 10).\nAnswer: 2*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j*n*q*t - 3*j*n*t**2 + 4*j*n*t - n*q*t - 17*n*t**2 - 3*q*t**2 - 9*q*t wrt t.\nAnswer: -6*j*n - 34*n - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/9)\/s*s\/(s**(-8)*s)*s)**(6\/17) assuming s is positive.\nAnswer: s**(142\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -420*m + 1296 = 1338 + 3112 + 1046 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of t**6\/480 - t**5\/30 - 5*t**4\/32 + 9*t**3\/4 - 1892*t**2 - 3. Factor w(b).\nAnswer: (b - 9)*(b - 2)*(b + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 5*z**2 - 4*z - 12. Let w be k(-5). Calculate the greatest common factor of w and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 5*c + 4*r, 5 = -c + 2*c - 2*r for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -9 + -9 + 0 + -4 - -10?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 534371143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**9)**4*t**(-4)\/t**(-3) assuming t is positive.\nAnswer: t**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, p: 5, f: 6, c: 3, h: 2}. What is prob of sequence fch?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/5 (b) 1\/43 (c) 245 (d) 0.1457 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1535\/3 + -511. Find a such that -q*a**2 + 0 + 2\/3*a**4 - 2\/3*a + 2\/3*a**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1954, 3908, 5862, 7816, 9770, 11724?\nAnswer: 13678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 44129277?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 14*v - 40. Let q(w) = w**2 + w + 3. Let n(i) = 4*i**2 - 28*i - 17. Let y(o) = v*n(o) + 5*q(o). Solve y(s) = 0 for s.\nAnswer: -32, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 112 - 31. Suppose -k*n = -82*n + 1561. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-258 - -259)*90\/(-110)?\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -223853*c**4*u + 14*c**4 - 1496587704*c**2*u wrt c?\nAnswer: -5372472*c*u + 336*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48514 is divided by 239.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24210.7 + 24211. Put -0.0278, -2\/3, f in increasing order.\nAnswer: -2\/3, -0.0278, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01852804 rounded to 3 dps?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + 3*r - 19. Suppose 0 = -2*h + 12 - 28. What is the tens digit of q(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r + 7680 = 34*r. What is the highest common factor of r and 260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 756937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**5*g*g**(-13))\/(g**(-1)*g)**(-2\/3) assuming g is positive.\nAnswer: g**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qwjwggjwrrjjjlrjjr. What is prob of picking 2 w?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + p**2 - 4*p - 4. Let l be m(-3). Let w be 5\/l + 2\/(-4). Is 17 a factor of (-68)\/(w\/((-4)\/(-8)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7519578964?\nAnswer: 2, 1103, 1704347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 1\/4 (c) -8 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**4 + 364*g**3 - 24522*g**2 + 450836*g + 475723 = 0. What is g?\nAnswer: -1, 41, 283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 8a6688?\nAnswer: -8a6686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5a482 (base 12) to base 2.\nAnswer: 11101101100100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8799.888 decades in years?\nAnswer: 87998.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 339 - 408. What is the biggest value in 1\/2, m, -2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 1\/2028 (b) -4 (c) 0.5 (d) -119 (e) -2\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 166 (b) -2 (c) 1\/5 (d) 2\/43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*f + 33194 - 36680 = 0 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cw when two letters picked without replacement from wfc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10057 - -201211\/20. Suppose -5*p = 54296 + 17329. Let z = 172039\/12 + p. Calculate the common denominator of z and w.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17*g**4 - 2*g**3 + 395156*g + 376625975 wrt g?\nAnswer: -68*g**3 - 6*g**2 + 395156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y + 6. Let d be 15*3*3\/(-27). Let c be g(d). Let h = c - -19. Solve -6 + h = 3*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 231298098 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u = 3*u - 224. Let m be 0\/(u\/24 + (-14)\/(-6)). Suppose m = 5*y + 33 - 43. Solve -y*h + 5 + 3 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 1:57 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 16 + 77 = -3*w, -4*o - w = -359. Let v = o + -30. Let u = -482 + 502. Calculate the highest common divisor of v and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0055464 rounded to 4 dps?\nAnswer: -0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -34\/15 or 1\/197?\nAnswer: 1\/197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1442103 (base 5) in base 9?\nAnswer: -46346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 2233*q + 986968. Determine w(-607).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-214)\/20 - (-3195)\/(-10650).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3994 - 47790.\nAnswer: -43796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 552 and 1104?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4602, -5, -4614, -1 in decreasing order.\nAnswer: 4602, 5, -1, -5, -4614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 12*x**3 + x**2 - x. Let o be c(1). Let l = 22 + -20. Let y be ((-6)\/(-12))\/(l\/12). Solve -y*d - o = d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1282 - -1278. Which is the third smallest value? (a) 4\/15 (b) i (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18957, 37912, 56871, 75834, 94801?\nAnswer: 113772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g - 3104 + 1728 = 3460. What is the remainder when g is divided by 28?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*y**2 - 12*y**5 - 26*y**5 - 20*y**5 - 25*y**5 wrt y?\nAnswer: -4980*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -902 + 138. Let g = -758 - o. Put g, -5, -4 in decreasing order.\nAnswer: g, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -299*62\nAnswer: -18538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - (-4 - -1)) + 1 - (-6 + 2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5217\/4 - -1305. What is the biggest value in 2.3, -15, 0.1, -0.1, t?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -9*z**2. Let g(f) = -33242*f**2. Determine v(g(h)).\nAnswer: -9945275076*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 82034629?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1*1\/(-1))\/(-1). What is the closest to -4 in 2, -0.2, o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -16700, -33401, -50102, -66803?\n\"Answer: -16701*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -101, -200, -299, -398, -497, -596?\n\"Answer: -99*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c + 17*c = 2*w - 48, -c = -5*w + 104. Suppose w*q = 23*q - 5181. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1440 by 60.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 11, 27, 47, 71, 99, 131, 167?\n\"Answer: 2*t**2 + 10*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = 951 - 2295. Is 7 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22.7 - -22.66. What is the second smallest value in 0.3, 0.1, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17276675*l**2 + 56*l + 33048 wrt l?\nAnswer: 34553350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -11*h - 9*h + 38*h - 16*h. Let p(c) = -20*c + 18. Let n(u) = -u + 1. Let a(z) = 36*n(z) - 2*p(z). Calculate o(a(i)).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 90339 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 33681?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2238 = 2*t, t - 12 + 14 = 0. Is c a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111 + -110101011101011110?\nAnswer: -110101011101101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*0.27804.\nAnswer: -0.83412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11, -5, 2\/7, -0.4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+-43108166.3\nAnswer: -43108166.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 8. Calculate the common denominator of -8 and d*2\/(-40)*62.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 1438*i**3 + 2*i**2 + 5*i + 2. Let b(f) = -1439*f**3 - 3*f**2 - 8*f - 3. Determine 2*b(v) + 3*k(v).\nAnswer: 1436*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13984240?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**2. Let q(m) = -21*m. Let u(a) = 11*a. Let z(w) = -4*q(w) - 7*u(w). Give d(z(p)).\nAnswer: -98*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 47*s**2*u**3 + s**2*u - 68653*s*u**2 - 462*s*u - 1807969*u**6 wrt u?\nAnswer: 282*s**2 - 216956280*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -16*d + 120, -2687*d + 2685*d = 4*y + 16 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 43122 and 43125 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10461 is divided by 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17992 - -17993. Suppose -3*g + g + 2 = 0. Which is the closest to g? (a) -5 (b) -7 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98 = -m - 17*l, -13*m + 10*m + 4*l + 36 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + (6 - (-301)\/(-28)))\/(315\/(-140)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2)\/(v*v**9))\/((v*v\/(v\/(v**(-4)\/v)))\/(v*v*v\/(v*v**8)))*v\/(v*v**(-1\/5))*v\/(v*v\/v**3*v)*v*v**(1\/8)*v*((v\/v**(5\/4)*v)\/v)\/v assuming v is positive.\nAnswer: v**(-477\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 28\/(-35) - (-78)\/10 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2236 is divided by 367.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (8*-5)\/((-2)\/8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8868 is divided by 79.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0395288 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -143*j**2 + 4*j**6 + 48*j**4 - 159*j**2 + 2 - 84*j**4 - 78*j**2 wrt j?\nAnswer: 480*j**3 - 864*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvllvn. Give prob of sequence nvl.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 24*(2\/8)\/(11\/418)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -4 + 6 - ((-3 - -10) + 6).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127879.\nAnswer: 41, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -g**5\/20 - 2*g**4\/3 - 4*g**3\/3 - 4*g**2 + 2*g. Let w be q(-7). Suppose 6*l + 10 = l. Sort w, 5, l.\nAnswer: l, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by 16\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/8 and 53\/538820.\nAnswer: 1077640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -164 - -164.3. Sort k, 0.5, -10, 1 in decreasing order.\nAnswer: 1, 0.5, k, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.11 + 0.01. What is the closest to q in 2\/11, 0.3, 0.5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 2717\/82558?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1387835346.\nAnswer: 2, 3, 231305891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f**3 + 7*f + f**3 - 3*f**3 - 6*f**3.\nAnswer: -3*f**3 + 7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.832 from -0.3363.\nAnswer: 2.4957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -8, -2, 6, 16?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60013?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -o + 7, 2*n + 3*n + 10 = 0. Suppose -d - o = 2*d, -q + 25 = -3*d. Let v be (16\/6)\/((-32)\/(-48)). What is the greatest common divisor of q and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 617445773.\nAnswer: 7, 41, 919, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 12*x = 7*x. Suppose -6*f + 31 - 1 = x. What is the highest common factor of f and 60?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2115324, -4230654, -6345984, -8461314, -10576644?\n\"Answer: -2115330*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-9\/5)\/m)\/(m\/(m\/m**9)))\/(m\/(m\/m**2))**(1\/46) assuming m is positive.\nAnswer: m**(-1362\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 66*g**2 + 19*g + 72. Let w be h(22). Suppose 104177 = 7*d + w. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*n + 2*n**3 + 10*n - 27*n + 1886*n**2 - 8*n**3.\nAnswer: -6*n**3 + 1886*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*g - 29*g - 26*g = 52 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 greater than 45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -738 = -359*s + 7519 for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a litre in millilitres?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 150.0450921 to one decimal place.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.5 - 0.5. Let i = -2.04 - q. Let o = i + -3.96. Put -3, 0.1, o in ascending order.\nAnswer: o, -3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/3 + 8726648*r - 26179946\/3.\nAnswer: 2*(r - 1)*(r + 13089973)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24900 is divided by 139.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2188, -2187, -2182, -2173?\n\"Answer: 2*j**2 - 5*j - 2185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -4*c**3 + 3. Let d(j) = -j**3 + 1. Let v = 22 - 20. Calculate v*x(f) - 6*d(f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a tonne in kilograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -214\/5 - -42. Let t(r) = -2*r. Suppose 3*o = 2*g - 19, 5*g - 3*o = -4*o + 5. Let z be t(g). Which is the biggest value? (a) z (b) s (c) 9 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 - 1 + (2 - 4 + 1)*(1 - 1 + 1) - 4 - 2 + 5 + 2 + 0 - 1 + 0 + 5 - 3)*(2*c**4 + 5*c - 5*c).\nAnswer: -4*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1.06 (b) 2\/23 (c) -3\/4 (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 720, 721, 722, 723, 724?\nAnswer: 725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32017236742 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2794527037 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s + 1654 = -36*s - 29*s - 290 for s.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*w**3 + 10*w**3 - 55*w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1105 and 143697515.\nAnswer: 1105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*x + x - 2*x)*(-24 + 14 - 3*x + 8) as u*x**2 + r + i*x and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 11:34 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5.31, 4 in decreasing order.\nAnswer: 6, 4, -5.31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -88 + 13 + 3*h + 14 + 55. Let l(f) = 4*f - 9. Give 7*i(a) - 5*l(a).\nAnswer: a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -135058 (base 9) in base 13?\nAnswer: -2b69a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28072176 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f + 7. Let g be x(5). Let s = 21 - 29. Let m = s + g. Is 2 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219 = -44*n - 44 + 1. Let z be (-6 - -6) + 9\/3. Let t(i) = i**2 + 2*i - 2. Let d be t(-4). Solve -5*y = z*s + 6, d = n*s + 3*y - y for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 312 and 156.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + o = 9675, 3867 = 2*z + 7*o - 6*o. What are the prime factors of z?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -143, -289, -437, -587, -739?\nAnswer: -893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -7*x**2 - x + 2. Calculate j(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/sqrt(6)*-3 - sqrt(5))*-3.\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**3 - 2*d**4 + 0*d**3)*(-2 + 3 + 0) + 3*d**3 - 3*d**4 - 3*d**3 - 95*d**4 + 146*d**4 - 81*d**4.\nAnswer: -35*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.03 (b) 4 (c) 1\/2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u + 30575 = 4*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3594480 divided by -2\nAnswer: -1797240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 195 divided by 39.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -30*q + 2. Suppose -8 = -3*u - u, -5*k + 9 = -3*u. Suppose 5*x - k*n + 1 = 2, -n + 7 = 2*x. Let j be h(x). Round j to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3*((-4 + sqrt(475) + sqrt(475)*-1 - (sqrt(475) + -4)*-1) + -4))**2.\nAnswer: -5571 + 1080*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*f + 18 = 5*j, 3*j - 18 = -3*f. Calculate the remainder when 1\/(246\/122 - j) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 e when three letters picked without replacement from {t: 5, e: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + -33*648\/(-7132). Let a = r - 222821\/32094. What is the common denominator of 19\/18 and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -17*z**2. Let w = -2318 - -27817\/12. Let k(g) be the second derivative of 0*g**2 + 0 - g - w*g**4 + 0*g**3. Determine k(x(i)).\nAnswer: -289*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 6941*t**2 - 14*t + 8. Let q(z) = -4629*z**2 + 9*z - 5. Calculate 5*n(u) + 8*q(u).\nAnswer: -2327*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Convert 79 (base 11) to base 16.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5717 - 2911 - 2*q**2 - 2889 in the form s + u*q + y*q**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 725 (base 12) in base 6?\nAnswer: 4445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5906.\nAnswer: 2, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5575121 years to months.\nAnswer: 6.6901452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 - 0.2. Let o = 47\/150 - -1\/50. Put o, a, -1 in ascending order.\nAnswer: -1, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*d + 61*d = -21. Solve -2*z + z = d for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 1 = -5. Suppose -2*w - n + 1 = 2*n, a*w - 3*n - 9 = 0. What is the least common multiple of 12 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*d + 3*d, -5*d - 255 = -5*r. What is the remainder when r is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33*m**6 + 20*m**3*s**2 + 6*m**2*s - 913*s**2 wrt m?\nAnswer: -3960*m**3 + 120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-370))\/1*(-323)\/(428944\/(-830)).\nAnswer: 3\/74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 + -24. Suppose u - 3*j = h, 3*u - 4*j = 17 - 5. Suppose -u*c = -0*c. Solve 5*v = 3*l + 13 - 1, 4*v = c for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30250567 and 1943?\nAnswer: 1943","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4\/37 + -5\/296. What is the second biggest value in -5, -0.03, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2071?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 0, -9, -28, -57, -96, -145?\n\"Answer: -5*l**2 + 6*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -15825 divided by 25\nAnswer: -633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-158)\/24)\/((30690\/1080)\/341).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by 3.\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24502 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 4*v + 13. Let m be r(-11). Let c be (-18)\/(-27) - 106*2\/(-6). Calculate the highest common divisor of c and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 191982 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1202*m = 31344 + 103280 for m.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9415901 and 11?\nAnswer: 9415901","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 577, 3\/8, 3\/4?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 201990 - 122509. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1035, 2071, 3083, 4059, 4987?\nAnswer: 5855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -5*x**3 + 4*x**2 + x - 5. Let f(k) = -6*k**3 + 3*k**2 + k - 4. What is 5*f(l) - 4*w(l)?\nAnswer: -10*l**3 - l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 654 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4\/7, -10, -14\/3, 2\/7, -0.04, 10\/7?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (995\/2189)\/(1\/(-22)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2*sqrt(13) + 5)**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kvk when three letters picked without replacement from ckcvkhkjk?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -3. Suppose 2*v + u = 3*v. Suppose -w - 3*w + 2*x = -180, w - v*x = 27. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t + 1. Let o be (-3)\/(-3)*(-1 - 6). Suppose -2*d + m - 54 = -6*d, -4*d = 2*m - 52. Calculate the remainder when d is divided by k(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2d - -32c?\nAnswer: 2dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27681? (a) -3\/4 (b) -3\/22 (c) 1.5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1664 - -1668. Solve 14 = x*c + 2*a, 2*a = -c + a + 4 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(8) + sqrt(2))**2*1 + (-1*sqrt(242))**2) + -4.\nAnswer: 1556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6*119\/(-252) + (-2)\/(-4). Which is bigger: -1\/3 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -656593 divided by 115.\nAnswer: -656593\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 120 and 9048?\nAnswer: 45240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 12981, 25961, 38941, 51921?\n\"Answer: 12980*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 4*p = 680438 - 680470, -80 = 4*s - 12*p for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*u - 10. Suppose u*o + 3*r - 16 = 0, 5*o - 42 = r - 14. Suppose s = 6*s + 2*t - 1, 7 = o*s - t. What is the lowest common multiple of 24 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 8*f - 388. Let d = -58 + f. Calculate the remainder when d is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -14535, -58117, -130757, -232455, -363211, -523025, -711897?\n\"Answer: -14529*f**2 + 5*f - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*j**3 + 12*j - 20*j - 5*j**2 + 6*j + j**2.\nAnswer: 19*j**3 - 4*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -142, -87, 2, 131, 306?\nAnswer: 533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -161, -139, -103, -53, 11, 89?\n\"Answer: 7*k**2 + k - 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/219, -7, 369\/5?\nAnswer: 369\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-17\/2))**(-1\/11) assuming h is positive.\nAnswer: h**(17\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1951 = -222*o + 1042 + 1003 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 5:29 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 5*g**2 - 1. Let t be f(5). Let w(d) = -d**2 + 2*d + 5. Let k be w(4). Let c = t - k. Solve 0*q = 2*i - 2*q - c, -q + 7 = 3*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -1) + (206 - 223) - 10?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 3, -14*c - 2*i = -19*c + 98. What is the highest common divisor of 830 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*d - 39 = -51*d. Let -4*v**2 - d - 9 + 2 + 6*v - 30*v = 0. Calculate v.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 254169, 508352, 762551, 1016766, 1270997?\n\"Answer: 8*c**2 + 254159*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*b*s**2*v**2 - 2*b + 3573*s**3*v**2 + 131*s**3*v - 47*s**3 wrt v?\nAnswer: 12*b*s**2 + 7146*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3452 - 3365) + -79 + -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 7*l - 18. Calculate m(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1913696 and 118092?\nAnswer: 74634144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 31266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 249479248*d**4 + 2*d**2 + 1155869*d - 15?\nAnswer: 5987501952*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3862 - 5394 = 2616*c - 2260*c for c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2001444320 (base 5) to base 12\nAnswer: -139a758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -289 - 4?\nAnswer: -28d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-4)\/((u\/(u\/(u\/u**(-38))))\/u) assuming u is positive.\nAnswer: u**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 197363 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 11 = -59. Suppose 4*w - w = o. Let a(d) = 2*d + 1. Give a(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*72\/81*6\/(-8).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -286027\/307700 - -14\/4525. What is the common denominator of -43\/204 and c?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6198 - 2326 = 8*s. What are the prime factors of s?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14579349 - 4\nAnswer: 14579345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 3. Let q(t) = x*t + 2*t**2 - 3*t**2 - 5*t. Let v(p) = -4*p. Give v(q(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -186550392, -186550395, -186550400, -186550407, -186550416, -186550427, -186550440?\n\"Answer: -k**2 - 186550391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z + 288 = 2*y + 12*z, -y + 3*z = -134. Calculate the remainder when 575 is divided by y.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - ((2 - -1) + 6) - (-3 + 3 - 42)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(847) + sqrt(847)*-1*-1.\nAnswer: 22*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -445 + 448. Let d(a) be the third derivative of 0 + 0*a + 1\/30*a**5 + 0*a**r - 1\/210*a**7 - 2*a**2 + 0*a**4 + 1\/120*a**6. What is o in d(o) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.21 + -193.01. Round m to the nearest 10.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3485 - -3442) + (-4 - -18).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 5*h**2 - 3*h + 4. Let p be b(-4). Let q = p - -1. List the prime factors of (-1)\/(-2)*4*q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(756) - ((sqrt(756)*1 - sqrt(756)) + sqrt(756)) - sqrt(21))\/sqrt(7) + 2.\nAnswer: -sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kx when two letters picked without replacement from {x: 1, k: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 187 (base 11) to base 12\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -103 - -110. Suppose 0 = -l*i + 11*i + 5*u - 640, 0 = u - 4. List the prime factors of i.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -84906, -339660, -764256, -1358694, -2122974?\n\"Answer: -84921*i**2 + 9*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 104 - 111. Let r(y) = y**3 + 10*y**2 + 22*y + 9. Let z be r(b). Find the second derivative of -n - n**z + 9*n - n**2 - n**2 wrt n.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 8:07 AM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*i + 4 + 0 - 5 as k + y*i and give y.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194510?\nAnswer: 2, 5, 53, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2. Suppose 6*x = 2*x + 8. Let c(k) = k**2 + 5. Give x*c(b) + 5*a(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 26*f**2 + 17*f + 23. Let u(t) = 14*t**2 + 8*t + 13. Let o(g) = -6*m(g) + 11*u(g). Give o(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100101110101 (base 2) in base 15?\nAnswer: -ab6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 12959 = -5*n + 36019, 0 = n + 5*x - 4654. Calculate the greatest common divisor of n and 298.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of 5*g**2\/2 + 145*g + 68. Let d be x(-28). Calculate the highest common divisor of 65 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 5*p**2 - p - 1. Let j be x(-5). Let o(w) = w + 65. Let t be o(23). Suppose -t = -8*i + j*i. Does 8 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 4*h + 14, 20*z + 10 = 22*z - h. Solve 9 = -3*o + 4*s, -3*o - z*s + 3 = 12 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100194707 rounded to the nearest ten thousand?\nAnswer: 100190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -168 - -160. Let g(d) = -d**3 - 6*d**2 + 8*d + 27. Is g(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1229837, -1229846, -1229865, -1229900, -1229957, -1230042, -1230161, -1230320?\n\"Answer: -r**3 + r**2 - 5*r - 1229832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 896.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(((s**(14\/5)*s)\/s)\/s*s)))\/s**(-44) assuming s is positive.\nAnswer: s**(234\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*b + 13 = 0, 5*h = h + 5*b + 9. List the prime factors of (25840\/h)\/(-4) + -9.\nAnswer: 2, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 5*u - 30, 0 = -u - 4. Solve -23 = o*q + 17 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*v**3 - 7 + 2*v**3 + 5*v**3 - 5*v + v - 6*v**3 as o*v**2 + s*v + c*v**3 + r and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2278 is divided by 283?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5 = -4*y. Suppose 2*r + 3*t + 7 + 8 = 0, y*r = 2*t + 10. Put r, -1\/3, -1\/7, -23 in descending order.\nAnswer: r, -1\/7, -1\/3, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/143 - (-102)\/13 - 40\/(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -27*o**3 + 15*o + 10. Let l(y) = -40*y**3 + 22*y + 14. What is 7*a(c) - 5*l(c)?\nAnswer: 11*c**3 - 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 1 = -3*i. Let w be 5 + (-4)\/(-6)*-3. Differentiate v + 0*v + w - i wrt v.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 872 + 283 = 0. Let i = z - -171. Solve i = t + t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of z**5\/20 - 5*z**4\/12 - z**3\/6 - 14*z. Let w(h) = -h**3 + h**2 - 2. Let v be w(0). Let s be (3 + 2)\/(-1 - v). Give k(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 8 + 5 = 0. Suppose 5*m + 0*m = -20. Let s be (m\/(-105))\/(6\/(-15)). Which is greater: d or s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/(-36))\/(5*(-2)\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a day in minutes?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*n**2 - 22*n**2 - 34*n**2 + 0*n**2)*(-7 + 4 + 7)*(-n + 2*n - 3*n) to m*n**2 + o*n + a + f*n**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k. Let x(s) be the third derivative of -s**6\/180 + s**3\/6 - 3*s**2. Let t(w) be the first derivative of x(w). Determine t(c(g)).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, -96, -167, -252, -351?\nAnswer: -464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/429 and -11\/8583?\nAnswer: 1227369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-14))\/((-10)\/(-70))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4748*l - 31 + 26 - 3 + 9 - 863*l.\nAnswer: -5611*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.95 - 100324148.\nAnswer: -100324148.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1126 (b) 3 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - (3 + -6 + (11 - 28 - -8)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 2*g**2 - 2*g - 1. Let w be q(-1). Suppose 3*d = -4*o - w*o - 146, 0 = -3*o - d - 107. What is the tens digit of 4\/14 + (-340)\/o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b + 2. Let d be y(-3). Let i = -1 - d. Solve -i*l = -l - 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 290 = 11*k - 16*k, -4*k - 4 = 0. What is the greatest common divisor of z and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 9:56 AM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -33 in -3, -0.155, -2\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, 4, 14, -3, -4 in decreasing order.\nAnswer: 14, 4, -3, -4, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -4*r + 28, 5*r + l - 12 = 20. Solve 2*t - 3 = -p, -2*t + r*t - 12 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p - 3. Let s be (0 - (-2)\/(-12)) + (-116)\/24. Let d(o) be the first derivative of -o**2\/2 - o + 1489. Determine s*d(i) + l(i).\nAnswer: 4*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -6*x + 3. Let j be 73\/11 - 436\/(-1199). Give s(j).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 14 - 4*n)*(3 - 7*n - 3).\nAnswer: 28*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 11:05 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-5)*g)\/g*g**(-7)\/g)\/(g**(5\/3)\/g**3) assuming g is positive.\nAnswer: g**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -k - 5*g, k - g = g + 3. Let x(h) = -17*h - 1. What is the units digit of x(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*y + 34*y - 94*i = 2248, -3*i - 80 = -4*y + i for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 11 + 0\/(-1). Let h(w) = 8*w + g*w - 13*w + 9 - w**2. Let t be h(8). Solve -2*m = -7 - t for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 21 + -76068?\nAnswer: -76047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 165724 (base 11) to base 7\nAnswer: 2115411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yef when three letters picked without replacement from fye?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 13*t - 9. Let w(a) = a**2 - 12*a + 10. Let u = 2 - 5. Let p(y) = u*w(y) - 2*o(y). What is p(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -210481, -210475, -210463, -210445, -210421?\nAnswer: -210391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 212790 = -29*t + 30*t, 170238 = 4*g - 2*t. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -317\/9 (b) -2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36 - 39. Let z(t) = -3 + 4 + 5 + 4*t - 2. What is z(k)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 14. Let f = -2 + 2.1. Which is the biggest value? (a) -0.5 (b) f (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 169 (base 13) to base 2.\nAnswer: 100000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 936616 divided by -17672.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3968460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(-20) + (-15)\/(-28). Let v = 0.11 - 2.11. Put 4, v, j in decreasing order.\nAnswer: 4, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*b = -33*b + 12, 27 = -3*j - 4*b. Let u(z) = z**3 + 7*z**2 - z + 2. Give u(j).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 10:10 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 k when three letters picked without replacement from kvkkvhhkv.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v. Let z(s) be the first derivative of -5*s**2\/2 - 4. Determine z(q(c)).\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27403\/5 in -1\/6, -2\/17, -2661?\nAnswer: -2661","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 4:23 AM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/2 (b) 1 (c) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = d + 2. Let w(s) = s**3 + 9*s**2 - s - 4. Calculate the smallest common multiple of w(-9) and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 2200110?\nAnswer: -2200122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 11, a: 2}. What is prob of picking 2 a and 2 j?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 382289*x - 382296. Calculate z(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 1\/5 (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3*-3.48\nAnswer: 10.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddl when three letters picked without replacement from {b: 3, m: 3, j: 1, l: 1, d: 2}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1885 not equal to 243?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1265668.\nAnswer: 2, 31, 59, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57367 is divided by 310.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 420293627?\nAnswer: 13, 32330279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 522*m + 118 = 518*m - 30*k, 0 = -3*m - 7*k - 42 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-9)\/7)*(-134100)\/(-6258)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b + 3812?\nAnswer: 3806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -437 - -442. Let s = -3 + -4. Let o = s + n. Let z(r) = -r**3 - 2*r**2 - r. What is z(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 5 - -1 - (0 - 5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 9*m**2 + 2 + 13*m**2 to a*m**2 + u*m + l and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 6:04 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 758\/4 + (-3 - -4)\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4 = 0, -2*z = 3*g + 3 - 13. Suppose 0 = -4*l + 3*v + 14 + 10, -14 = -z*l + 2*v. Solve l*b + 2 = 2*q + 4, -4*q - b = 18 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 1\/3 (c) 1\/4 (d) 2.2 (e) 2\/85\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - 1) + (59 - (22 + -38 + 65)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (1 - (67 + -17)) - (11 - 23)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 960 - 980. Let s = -83 + 59. Let f = k - s. Solve -f*d - 3*t - 30 = -8*t, 5*d = -t - 23 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -c**3\/3 - c**2\/2 + 3*c + 4. Let t be l(0). Solve f + t = -1 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4785 and 4350.\nAnswer: 47850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.07384 to two dps.\nAnswer: 6.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.03 + 0.03. Sort 2, -1\/4, q in decreasing order.\nAnswer: 2, -1\/4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -143*o - 846. Determine v(-5).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 249, 239, 207, 141, 29, -141, -381?\n\"Answer: -2*l**3 + l**2 + l + 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -9*q + 8*q + 7, 3*q - 7 = -5*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(150\/(-837)) + 4\/(-14)*(-994)\/(-355)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -93*v**2 - 203*v**2 + 5*v**2 + 42*v**2 - 68*v**2 as h*v**2 + p + d*v and give h.\nAnswer: -317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**2 - 4*d - 6. Let i be b(-3). Let z be i\/10 - 5\/(-25). Let k be (2\/20)\/(3\/(-6)). Which is smaller: z or k?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 1449*w + 585*w + 3*w.\nAnswer: 2037*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - a403?\nAnswer: -a401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1221.636366 to 1 dp.\nAnswer: -1221.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/17)*(u\/(u*u**(1\/3)))\/u)\/(u\/(u**4\/u))**30)**41 assuming u is positive.\nAnswer: u**(122426\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 5:00 AM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 16 = -4*w, -3*w - 4 = -l - 16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -r**7\/1260 - r**6\/240 - r**4\/8 + 4*r**2. Let c(t) be the second derivative of h(t). Determine c(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/2 (b) -0.3 (c) -4 (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*2\/4*6. Let y = 29 + -21. Let f = y - w. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((4*sqrt(153) - sqrt(153)) + 3 + -4*(sqrt(153) + 2))*6.\nAnswer: 150 + 90*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t**2 + 109*t + 8678. Determine s(-35).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 760 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 171233?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -x + 1, 31 - 5 = -4*x + 2*r. Let m(g) = -g**2 - 6*g + 16. Let k be m(x). Which is the nearest to k? (a) 0.1 (b) -36 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -2) + -11 - (-11 + -38 - -39)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + 12 - (22 - -151 - 16)?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4677*b - 110045 - 103268 - 96352 = -99200 for b.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 9*n**3 + 5. Let t(h) = -26*h**3 - 14. Suppose -5*f = -j - 19, 34*j + 27 = 31*j + 5*f. Give j*t(v) - 11*p(v).\nAnswer: 5*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 12 = -3*l + 3*k, -4*l + 5*k = -15. Solve l*y = 2*y - 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2699516 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 130, 118, 102, 82, 58, 30?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert abb6 (base 12) to base 8.\nAnswer: 45072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8.2 - 0.2. Let s = k + 58. Let z = s + -63.4. Round z to 0 dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b1d3cd (base 15) to base 5.\nAnswer: 4130322433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -158448 (base 10) in base 15?\nAnswer: -31e33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 36*f**2)*(5 + 35 - 39 - 13*f).\nAnswer: -468*f**3 + 36*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19004, 76003, 171000, 303995, 474988, 683979, 930968?\nAnswer: 1215955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*q - 51*q - 164*q + 219*q.\nAnswer: -23*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 + 0*h**2 - 3*h**2)*((3 - 3 + 2)*(-3*h - 4*h + 6*h) + h + 2*h - 2*h + 5014*h - 979*h + 5031*h).\nAnswer: -9065*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1983789334 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 266*o - 42. Let b(m) = -m + 1. Let g(i) = 42*b(i) + h(i). Let s(t) = t. Calculate g(s(y)).\nAnswer: 224*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from ihihiihhii?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t + t + 165*t**2 - 2*t.\nAnswer: 165*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 187 - 165.7. Let w = -21 + b. What is the closest to 0.01 in -4, 3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 5*v + 6, 2*f - 4*v = -2 - 4. Is 8 a factor of (25 - 5) + 3\/f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -9312*d + 9290*d. Let u(h) = -12*h**2 + 2. Let b(x) = 13*x**2 - x - 3. Calculate d*b(v) + 3*u(v).\nAnswer: -10*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/3 - (-26)\/(-6). Let d(u) = -1 - 1736*u + 3118*u - 1685*u. Is d(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 190.3971326 rounded to two decimal places?\nAnswer: 190.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 15844.75 centuries?\nAnswer: 1584.475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -754*n = -2*w - 752*n - 6, w + 15 = -2*n + 21 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) - -6*(sqrt(209) - sqrt(209)*2 - sqrt(209)))\/sqrt(11).\nAnswer: -11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = 3*c - 49, 42 = 25*c - 23*c + 8*v for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 140659?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 5*c**2 + 7*c + 8. Let l be m(-6). Suppose -l - 8 = -5*p. Solve -5*b = p - 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 688725 and 2775?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 4*w**2. Let u be 2 + 45\/(-9)*2\/5. Let j(q) = 4*q - 9*q + u*q. Give j(l(k)).\nAnswer: -20*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 576 = -2*p - 570, 2*p = b + 21. Solve 0 = -217*m + 214*m + p for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 12:58 PM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (38 + -37)*(9679 - 2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -73 + 69. Let b(r) = 4*r - 10. Let c be b(9). Let p be 180\/663 - 4\/c. What is the nearest to 1\/4 in p, 0.3, f?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -12322.996.\nAnswer: -12322.996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 7) in base 2?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 + 2634*s + 44200.\nAnswer: 2*(s + 17)*(s + 1300)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121319, -119192, -117065?\nAnswer: -114938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*c**4 - c**3 - c**2 + 62 wrt c.\nAnswer: 120*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 4370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 4*f + 53 - 9, 4*n = 5*f + 55. Let v(o) = -6*o**2 + o + 11. Let j(i) = -2*i**2 + 4. Give f*j(g) + 4*v(g).\nAnswer: -2*g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + o - 12566 = -0*m, 2*m + 5*o = 12582. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 60, 111, 168, 237, 324?\n\"Answer: m**3 - 3*m**2 + 53*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6264 + -102503?\nAnswer: -112100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/53 + 49\/106. Is 0 <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/6*-3)\/(32*(-186)\/47616).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**3))**(-46)\/(t\/(t\/t**(-4))*t**4) assuming t is positive.\nAnswer: t**(-138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 422904 + -5?\nAnswer: 422899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + c = -1697, 5*v - 2541 = 2*v - 3*c. Is 7 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99*-3261.\nAnswer: 322839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.34 - -16.66. Let g = y + 5. Let q = g - 21.9. What is the third smallest value in q, -5\/6, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*l**2*y**4 + 2*l**2*y**2 + 28382*l*y**2 + 3*l - 106526*y**4 wrt y?\nAnswer: 72*l**2*y - 2556624*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -36*f**2. Let s(t) = 28*t. What is s(p(b))?\nAnswer: -1008*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -2 (c) 38\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1879.737 + 4439577?\nAnswer: 4437697.263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(56) + sqrt(56) + -2*(sqrt(56) + 2*sqrt(56)))\/(sqrt(968)*-2).\nAnswer: -4 + 2*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1236434 to the power of 1\/2, to the nearest integer?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*z - 130800 = -125*z. What is z rounded to the nearest 1000?\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*b = 3*n - 28, n - 12 = -2*b. Solve -b*d - 6 = 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 375 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -5. Let d = 0.01 + -6.01. Let l = d - -8. What is the nearest to l in z, 0.3, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**5 - 3*b**5 + 5*b**5 + (0*b**5 - 2*b**5 + 0*b**5)*(-2 + 0 - 1).\nAnswer: 11*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -110424?\nAnswer: -110414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 - 10\/16*-80.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21214019 by -5183.\nAnswer: 4093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*(0 + (-1)\/6). Let s = 28 - 23. Let v = -12809\/7 - -1830. What is the second smallest value in 1\/3, v, k, s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 2. Suppose 0 = 2*v + 4*w - 98, -d*v + 2*w + 287 - 6 = 0. Does 5 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1966196, 1966198, 1966200?\n\"Answer: 2*m + 1966194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 - j**2 + 5*j**2)*(15 + 50 - 6).\nAnswer: 118*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 271.764 litres in millilitres?\nAnswer: 271764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 334753, 334753, 334751, 334747, 334741, 334733, 334723?\n\"Answer: -v**2 + 3*v + 334751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3097 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 - 11440*t**2 + 181900*t - 318080.\nAnswer: 5*(t - 2272)*(t - 14)*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 278 and 5818262.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 11:27 PM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, u: 4, s: 3}. Give prob of picking 1 s and 2 u.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o + 14. Let n be l(-10). Suppose 0*c + 2\/5*c**n - 4\/5*c**3 + 0 + 2\/5*c**2 = 0. What is c?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 9, -1, 19, 6 in increasing order.\nAnswer: -7, -1, 6, 9, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0*t = -2*t + 7, 3*t = 6. Let z = 0 - -2. Suppose -2*c + 23 = n*a - c, 10 = z*c. Solve -b - 10 = -a*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -140 (base 10) to base 12\nAnswer: -b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u + 1. Let c(d) = 0 + 1 - 14*d + 2 - 2. Let l(s) = -9*s + 1. Let x(i) = -5*c(i) + 8*l(i). Calculate x(g) - 3*z(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 2*w + 12. Let n be y(-4). Let r be (4\/(-6))\/((-2)\/6). What is the second derivative of 2*i**4 + 4*i**4 + 8*i - r*i**n wrt i?\nAnswer: 48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**5\/2 - 15*c**4 - 24*c**3 + 87*c**2 - 99*c\/2 = 0. What is c?\nAnswer: -3, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 47993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*h**3 + 492*h**3 - 452*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -702*n + 5281 + 226 - 237 + 4286 - 4395*n wrt n.\nAnswer: -5097","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1724813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 60937.1883518 - -1.1\nAnswer: 60938.2883518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + -2*sqrt(76)*3)**2.\nAnswer: 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -5 + (-56)\/(-42)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**2 + 2 - 2)*(3*h - h - 3*h) - 2*h**3 + 2*h**3 - h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 39*x**2 + 28*x - 113. Let s be q(-35). Suppose -s = -3*o - 3*k, -2*o = 3*k - 2651 + 116. What are the prime factors of o?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 382376 or 3.9?\nAnswer: 382376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 9*a + 23. Let i be g(-2). Solve 3 = s + i for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 3*a. Let h be -1 + 8\/6 + a. Let r be -4 + (-1)\/(-5)*0. What is the second biggest value in 1, h, r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -452*o - 27 = -455*o for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 0*h + 0*h + 2*h)*(13*h**2 - 13*h**2 - 12*h**4).\nAnswer: -24*h**5 + 96*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10673880 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 524486340 to the power of 1\/3, to the nearest integer?\nAnswer: 806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-763)\/1090)\/(14\/12)*8\/6?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 29\/6*r - 1\/6*r**2 - 30.\nAnswer: -(r - 20)*(r - 9)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - a + 127. Let d(p) = -9*p**2 + 10*p - 626. Let b(o) = -d(o) - 5*l(o). Calculate b(5).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 + 28. What is the remainder when a is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2323*j + 20 + 23 - 43.\nAnswer: -2323*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 28*o - 116. Let b be w(23). Let d(k) = k - 18. Let g be d(12). Let y(v) = 3*v + 7. Let s(u) = -u - 1. Calculate b*y(j) + g*s(j).\nAnswer: 3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 y when two letters picked without replacement from {f: 5, o: 1, e: 1, y: 7}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2747*m**3 - 9*m**2 + 1558. Let a(i) = 1374*i**3 - 5*i**2 + 779. Let z(v) = 9*a(v) - 5*y(v). Find the first derivative of z(c) wrt c.\nAnswer: -4107*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 69*s + 1128. What is x(35)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2038 - -6139\/3. Let q(o) be the first derivative of -10 - 35\/2*o**2 + 15*o + f*o**3 - 5\/4*o**4. Factor q(v).\nAnswer: -5*(v - 3)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8\/3249 - -16229\/6498. Let p = -10 - -26\/3. Which is the smallest value? (a) r (b) -2 (c) 39 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssrzskzzgk. Give prob of picking 1 z and 1 g.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7a50 - -3?\nAnswer: -7a4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9169627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-952)\/1190 - 14\/(-5). Let a(q) = -3*q + 4. Let f be (-1)\/(-1 + 6\/5). Let s(n) = -7*n + 8. Calculate f*a(c) + m*s(c).\nAnswer: c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u - 1. Let s be (84\/8)\/3*-2. Let c be ((-11)\/(-2))\/(2\/4). Let p = s + c. Calculate n(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, 591\/4, -0.03, -0.3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000019708242 rounded to 7 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 40\/181 or -3?\nAnswer: 40\/181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (2 + 46)) + (-79 - -87) + (-2 - 8)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3192447687 to the nearest integer?\nAnswer: 56502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.062 + 1.71. Let m = y + -0.048. What is the nearest to -1 in 3, m, -2\/13?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 214407*l**4 - 3*l**3 - 429*l**2 + l - 2155 wrt l?\nAnswer: 5145768*l - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 32. Let w(t) = -5*t. Calculate the lowest common multiple of p and w(-2).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1962162, 7848679, 17659542, 31394751, 49054306, 70638207, 96146454?\n\"Answer: 1962173*s**2 - 2*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*t - 12. Solve 4*s - t = -24 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 418.191 + -416.50827. Let d = q + -1.68. What is d rounded to 4 dps?\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4982)\/(-6) + ((-8)\/(-12))\/1. Let f = i - 395. List the prime factors of f.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3105404 and 5842.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1682, 1622, 1586, 1586, 1634, 1742?\n\"Answer: 2*v**3 - 74*v + 1754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 13*m**2 - 598*m + 8. Let s(k) = 16*k**2 - 599*k + 10. Calculate -5*l(a) + 4*s(a).\nAnswer: -a**2 + 594*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2949524?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -667019\/344 + 1939. Let l = -7753\/6 - -1310. Find the common denominator of l and a.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/6 + (-58)\/(-58). Which is the fourth smallest value? (a) -2 (b) 193 (c) -0.4 (d) g (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001827745 rounded to 6 decimal places?\nAnswer: 0.000183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 445\/13 in -1\/6, 0.3, 0.1, 2, -12, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 6*f**2 + f + f**3 - 1 - 2 + 0*f**3 - 5. Let x be j(-7). What is x rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/301?\nAnswer: -3\/301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2960363 - 0.2.\nAnswer: 2960362.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 65 - 69. Which is the closest to 1? (a) m (b) 0.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m - 2. Let w(r) = -r + 7. Let d be w(4). Give u(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.09 and 0.7.\nAnswer: 0.063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170*x + 263*x - 1116 = 0. Calculate the greatest common divisor of x and 237.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/35*-12967 + (-4)\/14. Round u to the nearest one hundred.\nAnswer: -7400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26*o + 2*o - 824 + 233 + 484*o with respect to o.\nAnswer: 512","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -282*f + 132*f + 130*f - 4 to the form l + r*f and give r.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1080 and 1980.\nAnswer: 11880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-4))\/((5 + 0)*232\/(-320))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -277*n**3 - 2*n**4 - 2*n + 4*n + 6 + 275*n**3 in the form q*n**3 + a*n**4 + v*n + x + j*n**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1432 + -537. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (736\/(-345))\/(-2)*((-2)\/(-12))\/(3\/15)\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51940 divided by 4.\nAnswer: 12985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, -0.1, 0, -3 in decreasing order.\nAnswer: 0, -0.1, -3, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(12) + 5 + -3.\nAnswer: 2 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - 1338\/4*-16. Let b = o + -53437\/10. Find the common denominator of b and 11\/13.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 85 - 9. Let k be (2 + -40)*(-2)\/4. Calculate the greatest common factor of k and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3689028840 divided by 3?\nAnswer: -1229676280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.801 rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -4, -3, -12, 0.5, 3141?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*5\/(-30)*14?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 12:16 AM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -12. Suppose -b = -4*n + 3*n. Suppose -f = -3*f + 2*c + n, 3 = f - 2*c. Solve 0*k + 4*a = 3*k - 14, 4*k - f = 3*a for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65\/63 - 8\/9. Suppose -3*g = 2*k + 17, 5*k = -1383*g + 1384*g + 17. Factor -1\/7*w + 2\/7 - z*w**k.\nAnswer: -(w - 1)*(w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 84 = -c, 0 = -5*c - 3*d + 96 + 363. Suppose k - 9 = 2*a, -5*k = -3*a + 2*a - c. What is the remainder when k is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 1)*(4*y + 2*y - 4*y) + (-3 - 85 - 1)*(-y + 3*y - 4*y) - 3*y - y + 6*y.\nAnswer: 178*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 0 - 62 - (-89 - (20 - 118))\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -0*m. Let p be 40 + m\/(-1) + 0. Is 13 a factor of p\/3*(-27)\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -155, -148, -141, -134, -127, -120?\n\"Answer: 7*h - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*c + 26*c + 884480 = 0. What is c rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44598?\nAnswer: 2, 3, 7433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j - 1. Let s be t(-4). Let g = 96 + -37. Let c = g + -54. Solve 6*f + 15 = 5*h + 3*f, c*f = s*h - 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/912668 and 56\/3?\nAnswer: 2738004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -480 divided by -121?\nAnswer: 480\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -67 - -48. Is o equal to -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -98437.\nAnswer: -49218.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(8\/7)*d)**(-9\/7)*d**(12\/11)\/(d*d**(1\/2)) assuming d is positive.\nAnswer: d**(-3411\/1078)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 13*j**2 - 59*j + 21. What are the prime factors of f(-15)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 5364072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/3 and 53\/3609489.\nAnswer: 3609489","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 284 + -279. Solve 4*h - 5*f = 24, -f = -w*h + 18 - 9 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3\/6202?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34171*u**2 - 34038*u**2 - 34040*u**2 + 102244*u**2.\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -912576 and 260.\nAnswer: -237269760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5, 204, 847, 2186, 4473, 7960, 12899, 19542?\n\"Answer: 42*s**3 - 30*s**2 - 5*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 37 = -750. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + (0 - -2) - (-24 - -16)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/9)\/(5\/(-15)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15609 a multiple of 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*l + 11*l**2 - 55*l - 12*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12.9 + 6.9. Let q = -2 - m. Let i be 10*((-3)\/2 + 2). What is the third biggest value in -1, q, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n - 393 = -381 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 + 47. Let z = s - 20. Let n(w) = -4*w**2 + 0 + 4*w - 2*w + 2 - 3. Calculate n(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l = 4*l - 0*l - 64 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and -66732718967.2?\nAnswer: 66732718962.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -10*o + 23 + 0*o + 21*o**2 + o**2 - o**3 - 12*o. Let m be z(21). Which is the second smallest value? (a) m (b) -0.5 (c) 3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.27 + 0.2699995. Round h to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -145267\/112 - -1297. Find the common denominator of 71\/112 and d.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32362?\nAnswer: 2, 11, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16957\/216 + 2150\/27. Find l, given that i*l**2 + 0 - 1\/4*l + 1\/4*l**3 - 9\/8*l**4 = 0.\nAnswer: -1, 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1820100.185 to the nearest one thousand.\nAnswer: -1820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 26323607 a multiple of 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 87*v - 1131. What is z(13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 56*r**2 + 5. Determine g(56).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/489, -0.3, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18687 by -3.\nAnswer: 6229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 2, 6, 12?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (31\/31)\/((-3)\/(-2) - 2) - (-159480)\/80183?\nAnswer: -2\/181","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-264)\/(-55) + (-2)\/(-10). Let s(j) = 3*j**2 + 4*j + 7. Let o(w) = 4*w**2 + 5*w + 8. Calculate m*s(t) - 4*o(t).\nAnswer: -t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 15 + 34*z**2 - 38*z**2 - 2.\nAnswer: -4*z**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 0*c - 1\/2*c**2 + 1\/2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 960*t. Let p(a) = 960*a. Let s(n) = -3*g(n) + 4*p(n). Let q be s(2). What is q rounded to the nearest one hundred?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**5 + 0*p**4 + 0*p**4 + (-2*p - 2*p**2 + 2*p)*(-29*p**3 + 17*p**3 - 8*p**3).\nAnswer: 39*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 153, 152, 151, 150?\n\"Answer: -q + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 4:54 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5670 - 468*i + i**2 + 472*i - 5670 + 8*i**3 + (-2*i + 3 - 3)*(-i + i**2 + i).\nAnswer: 6*i**3 + i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(0 + 18 + -3 + 2). Suppose v*y - 25 = 12*y. Which is smaller: y or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42 + -22. Factor -14*j**3 - 24*j + 6*j**2 - 24*j**2 + p*j.\nAnswer: -2*j*(j + 1)*(7*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1032123 (base 4) to base 6\nAnswer: 35123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -65.99 - -66. Let n = -0.49 - a. Sort 0.4, -3\/4, n, 1\/3.\nAnswer: -3\/4, n, 1\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2998292 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18.074 - -345.694. What is q rounded to zero decimal places?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + 10. What is the highest common divisor of c and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 4*h + 83. Let r(v) = v**3 - 38*v**2 - 56*v + 633. Let o be r(39). Determine q(o).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-340)\/68 + 52\/10?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*l + 10 = 7*l, 4*w - 1 = -3*l. Let g = 6 + -5.9. Let y = -4.9 - g. Sort w, 5, y in ascending order.\nAnswer: y, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7399\/10 + -737. Find the common denominator of -9 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 211*t - 66*t - 70*t - 70*t.\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 7:25 PM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)\/q)\/((q\/(q*((q\/q**(-22))\/q*q)\/q))\/q)*q**(-13\/2)\/(q\/((q*q**4)\/q*q)) assuming q is positive.\nAnswer: q**(37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42\/67 - -76\/335. Which is the closest to z? (a) 37 (b) 2\/9 (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*l + 18*l = -345. Calculate the remainder when l is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -p**4\/2 - p**3 - p**2 + 2*p + 5. Let z be r(-4). Calculate the remainder when 42 is divided by (-4)\/6*z\/(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1823 + 3237. List the prime factors of t.\nAnswer: 2, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6475*r**4 + 665*r**2 + 4?\nAnswer: 155400*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (61\/(-15) + 1099\/785)*((-70)\/4 - -1).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-o**2 + 2*o**2 - 3*o**2)*(-279*o + 35*o + 124*o) + o**3 - 4*o**3 - o**3)*(4 - 3 + 0) + (-o**3 + o**3 + 2*o**3)*(-3 + 4 + 1).\nAnswer: 240*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/8 + -1)*571\/1. Let i = n - -143. Let z = -49 - -40. Which is the nearest to z? (a) 1\/3 (b) 2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 254.1519 decades?\nAnswer: 30498.228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10547*t**4*u - 395*t**3 + 21*t**2*u - 10*t**2 - t*u + 2*t + 7*u - 47 wrt t.\nAnswer: 253128*t*u - 2370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1705.732 days to weeks.\nAnswer: 243.676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1646 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or -39487?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 39 = 17*k. What is the third derivative of 181*b**2 - 12*b**3 + 40*b**k + 18*b**3 + 24*b**2 + 77*b**3 wrt b?\nAnswer: 738","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**5 + 2*x**4 + 10*x**3 - 20*x**2 - 9*x + 18 = 0.\nAnswer: -3, -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9568 + 9568.396. Is b at most 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1084711 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57239112 and 168?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - q - 1. Let h be l(-1). Solve 3*m + h = 2*m - j, 3*j = 4*m + 32 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -v + 1, -18*v + 14*v + r = -16 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 24 = 4*l, 4*a = -0*a + 3*l + 15. What is the remainder when 711 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.041175 + 0.612\nAnswer: 0.570825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 113 - 43. What are the prime factors of -4 - (-2*w - 4)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32*q**3\/9 + 464*q**2\/9 - 1976*q\/9 + 676\/3.\nAnswer: -4*(2*q - 13)**2*(2*q - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 12, 3*c - 5166 = 2*p - p. Let q = 2937 - c. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1224 and 28.9.\nAnswer: 35373.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.02 - -2.02. Suppose u + 8 = w + 12, 2*w = -3*u + 22. Which is the third biggest value? (a) 0.1 (b) f (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 2)*(4 + -11). Suppose -p - c = -34. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31.7 + -31. Let z = 0.8 - s. Put 4, -1\/3, z in ascending order.\nAnswer: -1\/3, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35.4 + -35. Let j = 7.4 - i. Let k = -507\/4 - -127. Which is the closest to 0.1? (a) 1\/2 (b) j (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -31 + 41. Solve -4*b + d = -0*b + 2*o, -2*b = 2*o for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rmrfrqkqkzfkrzkzq. Give prob of sequence rkff.\nAnswer: 1\/1785","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 379373?\nAnswer: 19, 41, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**4 + 2*b**2 - 2*b**2 - 2*b**2 - 2*b**4 + 2*b**2 + (-3*b + b + 0*b)*(2*b**3 + 2*b**3 - 3*b**3) + 4 - 4 + 3*b**4 - 4*b**3 + 4*b**3 - 2*b**4.\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4 + 351*f**3 + 22806*f**2 + 412776*f.\nAnswer: f*(f + 36)*(f + 42)*(f + 273)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p + 5881*p**3 - 40104*p**3 - 3*p.\nAnswer: -34223*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 7. Let l(s) = -4*s**2 + 10*s - 2. Let x be l(2). Solve d + x*j - 12 + o = 0, 0 = -3*j + 12 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51 - 50.7. Suppose 5*h + 2*s + 9 = 0, -3*s = -6*h + 2*h + 2. Let a be (h\/(-6))\/(3\/9). What is the closest to a in -5\/2, -2\/3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -309*t - 494*t - 312*t + 10 - 263*t - 2*t**2 - 315*t + 1693*t.\nAnswer: -2*t**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/1831 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (-5 - -1)) + -1 - -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 184617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 4. Let b(r) = r + 3. Let a be b(p). Suppose a*x = -2*x + 40. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 80*c - 1335. Let q be t(17). Solve 0*j - q*j = 175 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 5 + 2, 48 = -3*v - c. Let d be 1*5\/v*3. Which is smaller: d or 2\/13?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i - 2. Let h be f(4). Suppose c + 76 = 5*p - 5, 3*p + 2*c - 46 = 0. What is the remainder when 0 + h*(-183)\/(-6) is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s + 4. Calculate t(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - m - 114758993 = 0, 63928829 = 4*z - 4*m - 89083143. What is z rounded to the nearest one million?\nAnswer: 38000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16893 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*m - 78*m - 148 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 25.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -205\/6, 1\/3, 3\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3062036 is divided by 269.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/4 + 2*5. Suppose -93 - n = -4*a. Calculate the remainder when a is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 28556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 21639, 21641, 21643, 21645?\n\"Answer: 2*r + 21637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 540, 539, 538, 537?\nAnswer: 536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 1 = -g. Let y be 28\/(-6)*(-9)\/g. Solve y = 3*s + 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -19.017. Let q = 20.331746038 + -20.314746. Let v = q - n. What is v rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3*b = -3*j - 16, 3*j - 13 = -b. Suppose j = 4*d - 11. Suppose -y + 10 = h, -4 = -5*h + d*y + 1. Let p(t) = -t**2 + 5*t - 2. Determine p(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i**3 - 10*i**2 - 64*i**4 - 70*i**4 + 9*i**2 + 2 - 4*i + 3*i + 135*i**4 as k + r*i**2 + z*i + y*i**3 + m*i**4 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/20 + (-1066)\/(-2210). Sort -0.58, -0.5, b, 0.4.\nAnswer: -0.58, -0.5, b, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 3*k + 2. Let n(w) = 10*w - 106. Let j be n(11). What is o(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*z + 39*z - 12 = 0, 0 = s - 4*z + 13 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-91)\/14*(2 - 40\/36)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 5*x + 5*x**2 - 7*x - 2 - x + 6*x**2. Let c be n(-2). Let m = c + -16. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 3 = 4*u. Let t(s) = -1. Let x(n) = n - 2. Let z(a) = -2*t(a) + x(a). Determine z(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40 - -50. Let k(d) = -d + 11. Let y be k(8). Suppose 2*l - 15 = -3*u, 0 = -u - y. Calculate the smallest common multiple of l and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 78*o - 117*o**2 - 123\/2*o**3 + 114*o**4 - 63\/2*o**5 = 0. What is o?\nAnswer: -1, 2\/7, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74, -54, 2, 112, 294, 566, 946, 1452?\nAnswer: 2102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 2*d. Let o = 11 - 9. Let b be -6 - -5 - 2\/o. Give h(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 4\/5 (b) 94 (c) -2 (d) -2052 (e) 4 (f) 1\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*(-4)\/(-40)*(-5)\/1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 17*i**2 + 68*i - 85. Let j(c) = -8*c - 15. Let p be j(-2). Let l(b) = -b + 1. Let n(z) = p*h(z) + 68*l(z). Find the first derivative of n(v) wrt v.\nAnswer: 34*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -12.71. Let u = -2.71 + w. Suppose 5*t = 2*c + 5, -4*t - c - 2*c = 19. What is the nearest to t in 0, u, 1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(-2\/7))**(-45)\/(m*m\/(m**2\/m)*m)**(-41))**(-37))**(-10) assuming m is positive.\nAnswer: m**(62530\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/2065 and -97\/70.\nAnswer: 4130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -323*a**3 + 6*a**2 + 307*a**3 + 0 + 0 + 6*a. Let r(b) = 95*b**3 - 35*b**2 - 35*b. Determine -6*r(c) - 35*y(c).\nAnswer: -10*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 2*i - 60. Let j = 13 - i. Is (6\/(-4))\/(j\/(-284)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 81 = -31. Calculate the smallest common multiple of r and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 435844 >= 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 3*d - 4*z - 38, -4*d + 3*z + 56 = 0. Calculate the remainder when 41 is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -11. Let t = -539.423 + 539. Let v = t - 0.577. What is the third biggest value in 1\/5, a, v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1188, -1, -5, -8\/7, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15.54 - -0.06. Let y = 15 - m. Which is the closest to 3\/2? (a) -1\/5 (b) y (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -88, -88, -86, -82, -76?\n\"Answer: w**2 - 3*w - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 4327844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*2\/14*((-11823)\/5630)\/(3\/5)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11737114621736564.31999857 + -11737114550550252. Let t = 71186312 - q. Let m = 0.32 + t. Round m to 7 dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 - 28. Factor -4*m - u + 5\/2*m**2.\nAnswer: (m - 2)*(5*m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of z**5\/40 + 9*z**4\/32 + z**3\/3 + 1878. Let k(r) = 0. Calculate r.\nAnswer: -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 952842737 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(-26\/5)\/p))**49)**(-2\/23) assuming p is positive.\nAnswer: p**(-3038\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i**3 - 300*i**2.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.9927082 rounded to one decimal place?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 760054406.\nAnswer: 2, 83, 179, 25579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**3 + 0*v**3 + v**3)*(4 - 4 + 2*v**2) + v**2 + 109868*v**5 - v**2 - 104920*v**5.\nAnswer: 4944*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 20*s**2 + 2*s + 1. Let z be o(-1). Let v = z + -6. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 212*s - 5 + 2 to t + i*s and give i.\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -60 - (3 + -1) - (-850 + 868)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 25 = 4*k + 7, 0 = 3*k - 12. Let h = j + -11. List the prime factors of (-213)\/h - (-6)\/(-9).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**2\/11 + 838686*w\/11 - 838682\/11 = 0. What is w?\nAnswer: 1, 419341\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/7)\/(o**(-3)*o))\/(o\/((o**5\/o)\/o)*o**(1\/6))*(o\/(o\/(o**1*o)*o))**38*(o**(-2\/7))**(-3\/26) assuming o is positive.\nAnswer: o**(22703\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -2.999975. What is p rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -45*r + 81. Calculate the smallest common multiple of 108 and d(1).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of -s**7\/70 - 12*s**6\/5 - 138*s**5\/5 - 136*s**4 - 360*s**3 - 569*s**2. Determine w so that v(w) = 0.\nAnswer: -90, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 530?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*o - 6 = -53*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1403467951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of 2*r**3\/9 - 81*r**2 + 484*r\/3 + 948. Determine w, given that b(w) = 0.\nAnswer: 1, 242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w. Let i(z) = -2*z + 9. Let y(r) = -6*r + 25. Let f = -90 - -92. Let c(p) = f*y(p) - 7*i(p). Give c(h(v)).\nAnswer: 2*v - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20.6 + -21. Let x = i + 4.4. Which is the biggest value? (a) x (b) -4 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 4 - 25\/5. Put -1, x, 2 in increasing order.\nAnswer: x, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(-1)\/(-1)*9. Suppose 4*r - p - 13 = 0, -r - 2*r + 4*p = -26. Solve 0 = -x + r*z + k, -3*x - z = -7*x + 22 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -242 - -246. Let v(c) be the third derivative of -1\/12*c**s + 0 + 5*c**2 + 0*c + c**3. Calculate v(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of -119*x**2 - 211*x - 104\/3*x**3 + 0. What is the derivative of v(u) wrt u?\nAnswer: -208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 + -1 + -34 + 38?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 31 = 6 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*r**2 + 5 - 24*r**2 + 2*r**3 - 16*r**3 - 5.\nAnswer: -14*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -55\/63 - -4\/9. Let a = -2999 - -2998.9. Put a, 1\/4, 0.3, g in decreasing order.\nAnswer: 0.3, 1\/4, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-5 - -11) + -8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5754080307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d - 6*d + 2*d + d.\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 119 divided by 51072\nAnswer: 17\/7296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**5 + 2300016*u**4 + 587789022240*u**3 + 50072571202047744*u**2 + 200280880331035392*u.\nAnswer: 3*u*(u + 4)*(u + 255556)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 332 is divided by 42.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 133 + -94. Is y a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*k + 3*k - 1 + 1.\nAnswer: -18*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 322 = -7*f - 294. Does 8 divide (-8)\/24*-24 - f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -c**2 + 2361. Let r(m) = 968*m**2. Give f(r(z)).\nAnswer: -1936*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 65 + -23. Suppose 4*w - m = -110. Let f = 36 + w. What are the prime factors of f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2187 divided by -729\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*2\/20*-6*(-60)\/(-108)*14?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/2*-3*(-88)\/24. Suppose 22*v - m*v - 99 = 0. Let l(r) = 18*r + 0 + 4 + 8*r**2 - 19*r. Let b(y) = 2*y**2 + 1. What is v*b(p) - 2*l(p)?\nAnswer: 2*p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 461711 greater than 461711?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 480 - 469. What is the highest common factor of o and 220?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26517?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -14. Let m(w) = w - 73. Let l be m(80). Solve 0 = -3*x + l + c for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (546\/81 - -2)\/((-4)\/(-6374)). Let p = 13930 - x. What is the common denominator of p and -77\/15?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28.6 - 27.3. Let y = 1.30000356 - o. What is y rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 199328 and 227.\nAnswer: 199555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/696 + 2095\/4872. Which is the smallest value? (a) h (b) 1994 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163385296 a multiple of 242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -0.0372, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 10, -3.2, 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 5*o**2 - 3*o + 2. Let v be u(6). Let h(z) = -z - 17. Let i be h(0). Let m = i + 22. Calculate the highest common factor of m and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 4)*(-3*s**2 + 2*s**2 - 5*s**2)*(-26*s**2 + 182*s**2 - 13*s**2).\nAnswer: -2574*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = -32*w - 5*w. Let h(u) be the first derivative of 21 + 5*u**3 - 9\/4*u**2 - 9\/2*u**4 - 1\/4*u**6 + 9\/5*u**5 + w*u. Let h(q) = 0. What is q?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1730 (base 13) to base 3\nAnswer: -11200122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -g**3\/3 + 5*g**2\/2 - 3*g + 96. Determine v(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -6729377 = -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 266*f**2*g**2 - 2*f**2*g + 152*g wrt g.\nAnswer: 532*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q + 12 = -4*h - 13*q, -2*q - 12 = 5*h. Let g be 0 + (15 - ((-1 - -3) + h)). Solve g = 4*k + 3*w, 6 = -2*k - 4*w + 22 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12269*7.\nAnswer: 85883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 6.6. Let y = 0.22 + -0.12. Which is smaller: y or d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8915.718 millennia?\nAnswer: 106988616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42 + 30*l + 42 to the form t*l + j and give t.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 14*d**3 - 8*d**2 - 8*d + 1. Let x(m) = 139*m + 149*m**2 - 5*m**3 + 143*m**2 - 136*m + 144*m**2 - 433*m**2. What is -3*i(a) - 8*x(a)?\nAnswer: -2*a**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.02 + -5.02. Let h = -31.13 + 0.13. Let y = h + 30.6. Which is the smallest value? (a) i (b) -0.1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*c + 20*c**2 + 0 + 2 + 3*c - 2*c**3 - 20*c**2 in the form x*c + f*c**2 + o + u*c**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 + 1 - (1341 - 1366)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Expand o - 3*o**3 + o**3 + 0*o**3 + (6*o + 5 - 5)*(2*o**2 + o**2 - 4*o**2).\nAnswer: -8*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 27692136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2dd (base 15) to base 10\nAnswer: -658","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*x + 2419519 = 13*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**2 - 2*k**3 + 2*k**2 + (0*k**2 - 4*k**2 + 5*k**2)*(-4*k + 8*k + 0*k).\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 131?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8576144, -8576142, -8576140, -8576138, -8576136?\n\"Answer: 2*l - 8576146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*1*(sqrt(114)\/((-2*sqrt(66))\/sqrt(11)) + sqrt(38)\/(sqrt(2) + ((sqrt(42)\/sqrt(3))\/sqrt(7) + sqrt(2) - sqrt(2)) - sqrt(2)))**2 + 2.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 687 + -622. Suppose -65 = -d*c + 52*c. Sort c, 30, -5, -1 in ascending order.\nAnswer: -5, -1, c, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**11\/((o*o**(4\/19)\/o)\/o))\/(o**(-3\/14))**(-9\/4) assuming o is positive.\nAnswer: o**(12031\/1064)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(-2)*(-6 + 4). Let q be 40\/12 - 2\/(-3). Suppose 12 = 4*o - 4*y, 2*o - q - 2 = -5*y. Solve u = g + o*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 + 17 + 2*l - 16 + 2*l**3 + 2*l**4 - l**4 to y*l**2 + t + o*l + h*l**3 + b*l**4 and give t.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 8*n - 24 = 5*x, -3*n - 2*x = -18. Is (8508\/(-16))\/(n\/(-8)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 610 and 854?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.8, 0.5, 22.\nAnswer: 0.5, 3.8, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rf when two letters picked without replacement from vfgfr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*l*y**2 - 4574*l - 1745*y**3 + 411*y**2 + 31410 wrt y.\nAnswer: 8*l*y - 5235*y**2 + 822*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 126896514 at most as big as 380689540\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5\/6)*(f*f**(17\/2))\/f)\/(f\/(f*f*f\/f**15))**(-29) assuming f is positive.\nAnswer: f**(1154\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**2 + 1. Let w be (1 + 0)\/(3\/(-27)). Suppose f + 33 = 4*f. Let x = w + f. What is r(x)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13*1*16082\/9503\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 11:54 AM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/1)\/(1\/3). Suppose 3*t - 36 = -t. Solve m*n + 3*j = -t, 4*n + 5*j + 21 - 4 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*h - 7 + 4 + 3.\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12 plus -8428928115?\nAnswer: -8428928114.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22792 - 11271. Calculate the highest common divisor of a and 843.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 10*o - 324. Calculate the smallest common multiple of 30 and o.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 58*r - 40*r = -129, 8 = -r + 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23606385?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 1 = -3*y. Let g = -26 + 209\/8. Which is greater: y or g?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3702182 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 360 and (-187 + -13)*(819\/14)\/(-13)?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s. Let r(v) = -7832769*v**2. Calculate r(t(x)).\nAnswer: -7832769*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/12)\/((-440)\/3465).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1726*x - 1714*x = 5796. List the prime factors of x.\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 47*y**2 - 2*y + 1. Let u be k(1). Let s be u\/(-11) - (-2)\/11. Let w = s + 14. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of n**8\/10080 - 17*n**5\/30 + 19*n**2. Let v(c) be the third derivative of s(c). Let w(l) = 15*l. Give w(v(i)).\nAnswer: 30*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.765 + 0.235. Suppose 0 = -y - l - 3, -12 = 2*y + l + 3*l. Put y, x, 1\/2, -6 in increasing order.\nAnswer: -6, y, 1\/2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0015+-17\nAnswer: -16.9985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 - 33 + 13 + (-2 + 2 + 2)*(3 + 0 - 2))*(-3*z - 34*z + 12*z) in the form b*z + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 100.1 in 5, -265, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**2 + 10*b - 18. Let z be f(4). Which is greater: z or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49388.\nAnswer: 2, 12347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(2*3\/(-9)). Let j be (-9)\/(-1) + 2 + g. Suppose 2*d - j = -2*d. Let v(t) = -3*t + 3. Determine v(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*z = 7, 2*d = 3*z - 0*z - 13. Let v(o) = -8*o - 12. Let w(l) = l + 1. What is d*v(i) - 24*w(i)?\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 54 = 3*i, 22*i + 3*q + 1925 - 1886 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 421*z**2 + 12*z - 12. What is the remainder when i(1) is divided by 85?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 70270?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*2\/6*(-271245)\/6955.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -18*r. Let m(d) be the third derivative of -7*d**5\/60 - 43*d**2 - 6*d. Determine o(m(i)).\nAnswer: 126*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -6, 3, -91, 5 in increasing order.\nAnswer: -91, -6, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 45046, 45028, 45012, 44998, 44986, 44976?\n\"Answer: s**2 - 21*s + 45066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4\/21 - -37\/84. Which is the smallest value? (a) 1 (b) z (c) 0.3 (d) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53 + 52. Sort m, -5, 5.\nAnswer: -5, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 7 = y, -357*y + 354*y - 4*k - 5 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 802862, 802580, 802298?\n\"Answer: -282*j + 803144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 6 = -3*n. Suppose -n*u + 8 = u. Suppose -7*k + 9*k**2 - 3*k**3 - 4 - u*k**3 + k**4 + 6 = 0. Calculate k.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 10:07 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4*z - 76 = 140, -3*d + 133 = z. Calculate the highest common divisor of d and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 6*p**2 + 6. Let b(g) be the second derivative of 5*g**4\/6 - 275*g. What is t(b(w))?\nAnswer: 600*w**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**3 + 15*v**2 + 3*v + 46. Let l be f(8). Let d(q) = q**3 - 5*q**2 - 9*q + 8. Calculate d(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-14\/9)\/c)*c*c**(-36)*(c*(c\/(c*c*c\/c**(4\/3))*c)\/c)**3)**(-3\/5) assuming c is positive.\nAnswer: c**(274\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 1222?\nAnswer: -1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2.6, 0, -1\/87, -24, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2642813*g**2*p**5 + 40*g**2*p**2 + g**2*p + 63029253*g**2 wrt p.\nAnswer: 52856260*g**2*p**3 + 80*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -44*i**2 - 36*i - 360. Let l(a) = -2*a**2 + 2*a - 1. Let j(p) = -16*l(p) - z(p). Find the first derivative of j(c) wrt c.\nAnswer: 152*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 2)*(-2*v**2 - 28*v + 17 - 17).\nAnswer: 2*v**2 + 28*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r - r**2 + 17*r**3 + 5*r.\nAnswer: 17*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 6, -1.1 in ascending order.\nAnswer: -4, -1.1, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**3 - 30*s**3 - s**3)*(-2*s**2 - 2*s**2 + 10*s**2).\nAnswer: -186*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*x - 541 + 423 = 533 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - z + 6*z + 11 = 0, z + 2 = y. Suppose 2*i = -3*r - 13, 5*i + 4 + 9 = -r. Sort y, r, 3 in ascending order.\nAnswer: r, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (80\/(-24))\/(2\/3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -581 - -629. Calculate the least common multiple of 48 and j.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 6*h**2 - 6*h - 1. Let f be z(-4). Let m = -8 - f. Are m and 1 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 0.39?\nAnswer: -0.078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -c**3\/3 - 11*c**2\/2 - 6*c - 48. What is u(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 4, -3*k + 3*l = -653 + 59. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + 2)*(2 - 2 - 2*c) + 5*c - 31 - 36 - 49 + (2 - 2 + 1)*(-c + 0*c - c) to the form g + s*c and give g.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**5 + 66*o**4 - 1292*o**3 + 4984*o**2 + 37632*o + 43904 = 0. What is o?\nAnswer: -2, 14, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/16*-1*1. Let h be 3 - (-1082)\/(-9) - (-4 + 3). Let w = -116 - h. What is the nearest to -0.2 in t, 4, w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiooi. Give prob of sequence ii.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1103367 (base 11) to base 13.\nAnswer: -52a8a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 x when three letters picked without replacement from {r: 1, i: 3, v: 2, b: 1, x: 1, s: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12\/91 + -2\/13. What is the closest to 0.1 in 2\/3, d, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -4. Let k = 8 + -3. Let c = k - t. Solve -c*y + 7*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*d + 34*d + 28*d.\nAnswer: 19*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16936 and 696.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -40, -44, -48?\n\"Answer: -4*l - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4442 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 32 = -0. Suppose -4*z - 96 = -v*z. Let x = 91 - z. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-7)\/(-7))\/((-3)\/(18\/(-8))). Factor 0*a + o*a**2 + 3\/4*a**3 + 0.\nAnswer: 3*a**2*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 4*b - 517 = 0, -4*b = 2*v - v + 183. Let h = v + 284. What are the prime factors of h?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.5 (b) 2\/11 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 202 or 1017\/5?\nAnswer: 202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 5*f = 3*f, -2*f = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((-21)\/(-9))\/(2\/6))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -229 - -248. Find the first derivative of 44 - 12 - j*k**2 + 19*k**2 + 75*k**4 + 25 wrt k.\nAnswer: 300*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 8*v**3 - v**2 + 1. Let h(o) = -o**2 + 13*o - 11. Let j be h(12). Calculate i(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -60 in -1\/7, -53, 3\/4?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62620112 (base 7) to base 12.\nAnswer: -1928a42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 828*a - 1644*a + 93 + 815*a - 93.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 158*a + 41. Let t be z(5). Suppose 879 = 3*f - 2*p, -2*f + t = -2*p + 245. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -305 + -15. Let t = j - -329. What is the least common multiple of 9 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 8:02 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5569*g - 5710*g - 6063 for g.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 687 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((188 + -185)\/(53\/(-1)))\/(-6*(-11)\/(-88)).\nAnswer: 4\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 6:40 AM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 - 42. Is g at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**2 - 3*b**2 - 7*b**2 + b**2.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 6*v - 4. Let k be i(4). Let z(m) = m**2 - 4. Let r be z(3). Suppose 106 = r*a - 34. Calculate the highest common divisor of a and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 13*r + 1 + (1 - 2 - 2)*(-2*r - r + 5*r) to the form m*r + x and give m.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26 or -2298?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1463386288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f**3 + 3*f**3 + 4*f**3)*(-15 + 53 + 21).\nAnswer: 118*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 + z - z)*(3 + z - 3) + 3107*z**2 - 3107*z**2 - 898*z**3.\nAnswer: -900*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*w - 28*w = 27*w + 896 for w.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggg when four letters picked without replacement from ggggggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -28*f**3 - 19*f**2 - 22*f + 37. Is s(-8) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 76 (c) -0.09 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 89 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 9 + 3*i - i + 0*i. Suppose -10 = -5*u - 10. Let a be f(u). Solve -4*t = -1 + a for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 519204?\nAnswer: 2, 3, 7, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.963 times -1?\nAnswer: -15.963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 96*s - 187*s + 90*s. Let f(p) = -4*p**2 + 3*p - 3. Let m(z) = -11*z**2 + 8*z - 8. Let h(u) = 8*f(u) - 3*m(u). What is d(h(w))?\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 948726?\nAnswer: 2, 3, 17569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*v + k = -5, -3*k - 2489 = -2513 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14522?\nAnswer: 2, 53, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 at least as big as 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/7 or -0.5?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21799.\nAnswer: 21799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, o: 1, h: 4, j: 1, p: 1}. Give prob of sequence jj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in -4, -2\/7, -2, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 - -1. Suppose n*d = 31*d - 45. Suppose d*i = 7*i. Solve x + 4*x = i for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*s + 4*f + 21 = 17*s, -s + f = -6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 3*b. Let w be -4 + 1 - (18 - 13). Let a(z) = 3*z**2 - 8*z - 1. Let y(r) = w*h(r) - 3*a(r). Differentiate y(d) wrt d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(125)*-1*-4 + 1*sqrt(10)\/sqrt(2) + 2 - (5 + (-3 + sqrt(5) + 1 - sqrt(5)*1*-1) + 1).\nAnswer: -2 + 19*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 47*x = -13650. Calculate the remainder when x is divided by 48.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9.5 + -11.5. What is the closest to l in 2\/7, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -244*o**3 + 551*o.\nAnswer: -1464*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/33 and 65\/12339.\nAnswer: 135729","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -244, -465, -734, -1057, -1440, -1889?\nAnswer: -2410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**2 + 3*o + 2. Let m(u) = 2*u**2 - 4*u - 3. Calculate -4*m(r) - 5*s(r).\nAnswer: 2*r**2 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 238*h**2 - 193*h - 22. Let i(q) = -118*q**2 + 116*q + 11. Calculate 5*i(f) + 3*s(f).\nAnswer: 124*f**2 + f - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 6\/37985?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 103738 = 2*g, 4*g - 6*y - 207421 = -9*y. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95325211 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -342 - -345. Let p = -177 - -176.8. What is the closest to -0.1 in -4, p, s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w + 10*w = -10. Suppose -2*r - 5*m + 119 = -w*r, -3*r - m = 113. Let g = r - -64. What is the highest common factor of g and 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2856300094 to the power of 1\/6, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 31 = y, -3*y + 77 = -0*y + t. Let d = 22 + -17. What is the second derivative of y*z**5 + 30*z - 14*z + 10*z**d - 8*z**5 wrt z?\nAnswer: 540*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 340353 - 1a?\nAnswer: 340335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 66\/7 of a week?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 1928651*i. Let b(c) = 2*c**2. What is w(b(y))?\nAnswer: 3857302*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is a86 (base 12) in base 2?\nAnswer: 11000000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 63, 125, 187?\n\"Answer: 62*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (51*n**2 + 49*n**2 - 3*n - 101*n**2 + 1)*(-3*n + 0*n - n) to r*n**3 + w*n**2 + q + z*n and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*q**2 - 44*q**2 - 13*q**2 - 6*q**2.\nAnswer: -105*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23 and 391.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/21))**(1\/48)*a\/(a\/(a**(-22)\/a))*(a**(-6\/13)\/a)\/a assuming a is positive.\nAnswer: a**(-333661\/13104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 + -101010?\nAnswer: -100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a tonne in kilograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9407748173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 5. Suppose -5*g = -5, -13 = -3*v + k*g + 16. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 3 - 25*u**3 + 32*u**3 - 6.\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2431497 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -6.7. Let g = 0.4 - l. Let s be (-1)\/((12\/(0 + 4))\/(-1)). What is the nearest to g in -0.1, s, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/5)*j*j**(-5\/6))**(1\/89)*((j*j**(-7)\/j*j)\/(j\/(j*j**(-2\/3))*j))\/((j\/(j\/j**(-2\/9)))\/j*j**(-3\/5)) assuming j is positive.\nAnswer: j**(-46763\/8010)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3998 - -25) + 5*1. What is the tens digit of -1 + 2 - u\/16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.5 + -4. Let m = o - 1. Let z be 1 - (3 - (-2 + 2)). What is the closest to -1\/4 in 4, z, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -12761*l**3 + 4*l**2 + 2*l - 6. Let h(r) = 12761*r**3 - 6*r**2 - 3*r + 9. Give 2*h(m) + 3*z(m).\nAnswer: -12761*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ui when two letters picked without replacement from {o: 3, i: 2, s: 4, w: 1, u: 7}.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 7 + 11. Let u(y) = y**2 + 5*y - 1. Let v be u(f). Suppose -794 = -v*r + 261. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -18, 0, 0.6, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 405841.9 nanograms to micrograms.\nAnswer: 405.8419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -171609376?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 141 - 144. Is (1\/k)\/(-7 - 13076\/(-1869)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*3\/180)\/(2\/(-8))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 123900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of 25*h**4\/4 + 472*h**2 - 6*h. Let b(m) = 8*m**2. Determine u(b(x)).\nAnswer: 1200*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1850479 a multiple of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.12 + -0.120004. What is y rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qzqqzzq. What is prob of sequence zz?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11520.21528ms to weeks.\nAnswer: 0.000019047975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1078412639*q**4 + 873588936 wrt q?\nAnswer: 4313650556*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lglinlllnilii. What is prob of picking 1 l and 1 n?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89810, -89971, -90132?\nAnswer: -90293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 3*a - 9 + 51, 2*h + 2*a - 28 = 0. Let z = 20 - h. Let r = z - -2. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10\/27 - 1\/27. Let n be -1 - (-2 - (-1)\/4). What is the closest to 1 in n, -5\/6, z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 3, g: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.9 and 2031210.\nAnswer: -1828089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.044? (a) 2\/49 (b) 2\/11 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -5*d**3 - 5*d**2 + d - 8. Let r(s) = 4*s**3 + 4*s**2 - s + 7. Let y(u) = -u**2 + u + 1. Let g be y(3). Let v(l) = g*t(l) - 6*r(l). Determine v(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 428*r + 5897 = -237*r - 2979 + 231 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3503166?\nAnswer: 2, 3, 583861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 308777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 7*i - 4. Let h be d(-5). Let p = 575 + -135. What are the prime factors of h\/(-27) + p\/36?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, z: 11}. What is prob of sequence zllz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -44463, 4, -7 in decreasing order.\nAnswer: 5, 4, -1, -7, -44463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 9:36 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -0.53, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-35)\/(-126)*(-2)\/10.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 9*x - 12. Let y be g(9). What is the units digit of (-7)\/((-21)\/y) + 69?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -5*h - 1. Let r = -73 + 78. Let o(v) = -v**2 - 2*v + 33. Let w be o(r). Determine i(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -3. Let r be (-1)\/(1\/i - 0). What is the second biggest value in 0.5, 0, r?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*y**4 - 2 - 2*y**3 + 0*y**3 + 13*y**4 + 13*y**2 + 4 to the form u*y**4 + p*y**2 + k + w*y + n*y**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.053 - 0.05299919. Round q to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - 296\/(-60) - (-3)\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + (-264)\/270*-3. Let i = 19\/15 - y. Is i <= -1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 99718?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.01 (b) 0.3 (c) 1 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 53149039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -9218 and -9218 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 55 = 5*h, -4*h = -4*c + 2*c + 26. Suppose 703*m = 699*m + 140. What is the remainder when 136\/6*(-36)\/h is divided by m?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 297*k - 355. Give r(3).\nAnswer: 536","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -109781\/10 + 10987. Calculate the common denominator of n and (2\/12)\/(2\/(-218)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -6*t - 4. Let r(k) = 3*k + 2. Let g = -42 - -36. Calculate g*h(a) - 11*r(a).\nAnswer: 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -31?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 398 a factor of 745160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3149, 24981, 84155, 199337, 389193, 672389, 1067591?\n\"Answer: 3111*g**3 + 5*g**2 + 40*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 35\/(-5)*(-1 + 0). Let u be (-105)\/30*(-8)\/l. Find the third derivative of 3*v**5 + 4*v**2 + u*v**5 - 8*v**2 wrt v.\nAnswer: 420*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 4*c + r, -c - 2366*r + 18 = -2361*r for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -0*c - 3*c + 18, 5*c = 5*i + 40. Let u be (2 + i)*3\/(-1). Let v be 15000\/((3\/94)\/u). What is v rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*c**5 + 385394*c**4 + 121*c**2 + 1712*c.\nAnswer: -360*c**2 + 9249456*c","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 0*m + 40 = 0. Let s be 15*((-2)\/(-2) + 2). Suppose -2*x + s = 3. What is the remainder when m is divided by x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -556.214 - -3.214. Which is smaller: n or -0.9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 125*s**2 - 125*s**2 - 3*s**3 + 8 wrt s?\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3*f**3 + 18*f**2 + 11*f - 35. Determine j(9).\nAnswer: -665","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (165\/20)\/(-11)*4\/1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n\/(n**6\/n)))\/n)\/n**3)**(2\/15)*((n\/n**8*n)\/n*n\/n**(-7\/4))**(4\/7) assuming n is positive.\nAnswer: n**(-241\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0*2*3\/(-6))\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-7) + -292*9\/(-252).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27\/3 + 3 + -11 + 1602*7?\nAnswer: 5, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292555665 to the power of 1\/3, to the nearest integer?\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/9, 0.055, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**3 + 15*r**4 - r**3 - 14*r**4 - r**2 + 6 to o*r**3 + s*r**4 + z*r + l + k*r**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (-9 + 4)) + -9 + 3 + 10 + 37.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/h**(2\/19))\/h**(3\/16))**(-2\/31))**(-1\/11))**(-26) assuming h is positive.\nAnswer: h**(-2795\/25916)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1028074694?\nAnswer: 2, 17, 30237491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16292 is divided by 61.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(4\/5)\/l)\/l**(-7)*(l\/l**(-2\/9))\/(l*l**(-11)*l) assuming l is positive.\nAnswer: l**(766\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -26119 not equal to -26119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98 and 4508.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/15 (b) -5 (c) 0 (d) 3 (e) -3\/2 (f) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*a = -164*a - 115*a - 8382 for a.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318 is divided by 301?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 151322677 divided by -11.\nAnswer: -13756607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*p**3 + 2 - 2)*(5*p + 3*p - 4*p) - 1833*p**4 + 94*p**4 - 410*p**4 in the form h + m*p**2 + b*p**3 + o*p + z*p**4 and give z.\nAnswer: -2161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (q + 2*q - 2*q)*(2*q - q - 3*q) + 663*q + 671*q + 595*q**2 - 1989*q - 1 + 658*q in the form m*q**2 + s + z*q and give m.\nAnswer: 593","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-194)\/(-8) + 7\/56*-2. Calculate the common denominator of 91\/18 and (-12 - -6)\/(-3) + (-181)\/y.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7626*s**2 + 6678*s**2 + 9823*s**2.\nAnswer: 24127*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -488 divided by 8\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6616339, -13232578, -19848831, -26465104, -33081403?\nAnswer: -39697734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -4*h**3 + 7*h**2 + 40*h - 76. What is a(-4)?\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20.324 - 20.41223. Let m = 0.09 + i. Round m to four decimal places.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 363847423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 918\/217 - -366280\/1953. Let v = y + -192. Let c(w) = 4*w - 1. Let q be c(-1). What is the closest to 0 in 1, v, q?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -337? (a) 5 (b) -0.2 (c) -0.9013\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171897993.\nAnswer: 3, 29, 658613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3955892054?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 607230243 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**2. Let l = 2 + 1. Let r(d) = 8*d + l*d**2 - 4*d**2 - 8*d. Calculate g(r(j)).\nAnswer: -2*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*p - 32*p + 36*p = q + 49, 5*q + 48 = 3*p for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 411 is divided by 155?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -10 - ((-6 - -5) + -4 + -59)) + -10.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.59*0.33.\nAnswer: 3.4947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 667 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.049 + -0.151. Let w be -1*((-20)\/(-90) + (-5)\/9). Which is the second smallest value? (a) q (b) w (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 6:03 AM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 280*i - 14*i**2 - 280*i.\nAnswer: -14*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of 2*d**2 + 27 + 11\/40*d**4 + 1\/100*d**5 + 0*d + 0*d**3. Find l such that a(l) = 0.\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 799 and 5593.\nAnswer: 5593","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 17.2. Let x = -0.5 + z. Let j = x - 0.3. Is -4\/11 at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28285*f**3*r**2 - 39*f**3*r - 41*f**3 - 2*f**2*r**2 + 3*f**2*r - 1808*f**2 - 937*r**2 wrt f?\nAnswer: 169710*r**2 - 234*r - 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 842956 to the nearest integer?\nAnswer: 918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11111010110101000 (base 2) in base 8?\nAnswer: 372650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -1454.4.\nAnswer: -1454.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1340538660?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17800386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 0, -25177, -1\/19, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9350 divided by -20061?\nAnswer: -9350\/20061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54480 by -6.\nAnswer: 9080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 84 = -0*t. Let r = 48 - t. Suppose r = -4*y, 2*y = 5*n - 156 + 11. Calculate the remainder when n is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -18) + (134 - 156)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8005 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z - 24. Let t be f(-16). Let b be (2*1)\/(4\/6). Is (-171)\/12*t\/b a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/6*(-15)\/20*-2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -7*d**2 - 3*d - 7. Let v(g) = -4*g**2 - 2*g - 4. Let f(h) = h**3 - 24*h**2 + 21*h + 49. Let b be f(23). Give b*p(c) - 5*v(c).\nAnswer: -c**2 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-69696)\/2904*-1*(-2)\/(-5)*5\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -27215? (a) -2 (b) 0.7 (c) 25 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 2 = 4*w + w, 3*w - 18 = -5*b for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -20*l**2 + 225*l + 16. What is the remainder when 225 is divided by i(11)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6745?\nAnswer: 5, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2*t = -70, -2*t + 30 = 3*s + 4. Let c(n) = n**3 + 2*n**2 - 2*n + 187. Let w be c(0). Let v = w - 176. Which is smaller: s or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175 - 181 + 534 + 3*w**2 - 178.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5144 is divided by 78?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3060?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 63*x**2 - 3*x - 4. Let r be k(7). Suppose 14*f - 2034 = r. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((1875\/30)\/25 - 4)*(-92492)\/3.\nAnswer: 2, 19, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x + 7*x - 3 - 4*x - x**3 - 3*x as g*x + t*x**3 + a + d*x**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 s when four letters picked without replacement from ssssssjssssesssjs.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*u - 3178 = 3060, 3*u = 3*p - 9339. Is 98 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9075.8km in meters?\nAnswer: 9075800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6540164 - 7947.6.\nAnswer: -7946.9459836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 rounded to one dp?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5.076173 times 0.3\nAnswer: 1.5228519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -15, -53, -117, -207, -323, -465?\n\"Answer: -13*i**2 + i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3002467.732 and -2?\nAnswer: 3002465.732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 29\/6, 6, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4500*o + 1541. Is i(23) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 0. Let b be (g\/(-18))\/((-4)\/(-24)). Suppose 0 = 3*z + 3*n - 78, -2*z - 3*n = -b*z + 60. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + 4*p**2 - p**2)*(p - 2*p + 0*p)*(-6*p + 5*p + 4 + 0*p) - 19*p**4 - 27*p**4 - 5*p**4.\nAnswer: -50*p**4 - 4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 + 143. Does 41 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184760 to the power of 1\/2, to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cquqqjqu. What is prob of sequence jj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -225481?\nAnswer: 225478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 32 = -3*p. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 54?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1470730 divided by 5?\nAnswer: 294146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - y + 3. Suppose -y*w = -5*w + 2*s, 3*w = -3*s + 6. Let r = 3 + w. Solve r*z - 12 - 4 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2663?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.514 and -0.08.\nAnswer: 0.434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus 537689967?\nAnswer: 537689966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 83989 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 4*q. Let f(t) = 40*t**2. Give f(p(j)).\nAnswer: 640*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 10:34 PM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*f + 42 = f, 4*v - 5*f - 21 = 0. Solve -3*g - 4*t - 32 = 0, -4*g - v + 3 = -2*t for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5128 + 5143. Is v at least as big as -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 106106 and 462?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*a - 44*a - 12 = 46*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 168 + -172.52. Let o = 0.52 + g. Let w be 1 + (-84)\/22 + 3 + 0. Which is the closest to -0.1? (a) 0.4 (b) o (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(343) - sqrt(343))*-1 + -5 + -1*sqrt(343)*5 + 1)**2.\nAnswer: 280*sqrt(7) + 8591","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5ac44 - -3?\nAnswer: 5ac47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(275\/10)\/11. Solve -4*q = y*b + 8, -3 - 5 = -b - 4*q for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 10*p + 11197. Is k(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -32875*x - 164. What are the prime factors of n(-1)?\nAnswer: 7, 4673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 1. Let x = 2 + 0. Let s(h) = -g*h**x + h - 1 + 1. Calculate s(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 7*b**2 - 8*b + 9. Let l be ((-42)\/(-15) - 2)*-10. What is the units digit of f(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of j**5\/30 - 84*j**2. Let d(q) = 346*q**2 + 3. Give d(k(g)).\nAnswer: 1384*g**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 261 - 243. Suppose -123*q + 121*q = -k. Calculate the remainder when 23 is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 121440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -a**3\/6 - 4*a**2 + 4*a. Determine i(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136\/102*-7*(-1)\/(-4).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 325 and 1800.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 28281.48232 rounded to the nearest one hundred?\nAnswer: 28300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 - 2*q - 11 - 3 - q + 0*q + 0*q + (0*q + 3*q - 6*q)*(1 + 5 + 0).\nAnswer: -21*q - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -74 + 37 + 37 - 37*r to the form n*r + h and give n.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -105, -98, -89, -78?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*f - 8*f + 32*f - 26 = 0 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*u - 11*u + 33*u - 208 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 9 + 81 = 0. Let b be (-4)\/(-6) - t\/(-9). Let s = -5 - -21. Solve s = -5*h - b for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -1 + 5 - f + 0 + 13. Let d be q(9). Solve 5*z + u - 12 = 0, 4*z - d*z + 6 = 2*u for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 87 - 79 + 0*r + 107 + 2*r in the form h + j*r and give h.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - 0.0220463.\nAnswer: -1.0220463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14500*-4033.\nAnswer: -58478500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 f when two letters picked without replacement from fvdvr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.22 times -9325?\nAnswer: -2051.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sotcsticct. Give prob of sequence cc.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3084.\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*l**2 - 11780*l - 1551 with respect to l.\nAnswer: 6*l - 11780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 278*r + 1502. Let m be t(-5). Solve -9*u - m = 7*u for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 10. Suppose y - 16 = -3*d, 2*d - 4*d - 50 = -4*y. Let p(n) = -24 + 10 + y. Let x(g) = g**2 - g - 3. Calculate o*p(b) - x(b).\nAnswer: -b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/65 and -103\/23790?\nAnswer: 23790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a\/(a*(a**(6\/5)\/a)\/a)*a**(1\/12))\/(a*a*a**2)**(6\/17) assuming a is positive.\nAnswer: a**(1501\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11647*r - 11647*r + 23295*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + s - 12 = 3*h, 4*s - 2*h - 18 = 0. Solve -s*d - 31 = 4*w, 3*d - w + 10 = 5 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 15 = -4*a - 93, -10*a + 7*a - 63 = -3*q for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -22*m + 7. Let f(b) = -b + 2. Determine 3*f(z) - x(z).\nAnswer: 19*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -80, -85, -3 in descending order.\nAnswer: -3, -80, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 - 3 = -3*r + 8*c, r = -3*r - 3*c + 12 + 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 33502.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -2*l + 14. Let f(g) = g**3 - l*g**3 + 6 + 4*g**2 + 211*g - 215*g. What is f(4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 145954 - 32526 = -13*c. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29 - (-4 - -19)) + -40.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -181*b - 1684. Determine r(-9).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -666, -2627, -6026, -10971, -17570, -25931, -36162, -48371?\n\"Answer: -18*a**3 - 611*a**2 - 2*a - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/20)\/(-5 - -2)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120121 + 32?\nAnswer: 120213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 623*g - 322*g - 144*g.\nAnswer: 157*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-33)*42\/((-3360)\/(-220))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.238928 to 2 decimal places.\nAnswer: -26.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83316 - 2784 = 1230*p for p.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -171, -70, 0, -2 in ascending order.\nAnswer: -171, -70, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = c + 24. Does 14 divide (-54)\/c*1*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3040337, -6080682, -9121029, -12161378, -15201729, -18242082?\n\"Answer: -c**2 - 3040342*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -841, -840, -839, -838, -837, -836?\nAnswer: -835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/15? (a) 0.1 (b) -0.03 (c) -28 (d) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**3 - y**2 - 2*y + 2. What is the units digit of r(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**2 + 2*f - 33. Let x(m) = 2*m**2 - 32. Determine -2*t(i) + 3*x(i).\nAnswer: 2*i**2 - 4*i - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 137\/2, -2\/7, 2\/7, -0.2 in ascending order.\nAnswer: -3, -2\/7, -0.2, 2\/7, 137\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145726 = 816*l + 1756*l + 66770 - 19596 for l.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -663 + 667 = 2*c. Solve 5*z = -5*w - 15, -c*z - 9 = 2*w + w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 881 is divided by 59?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 y when two letters picked without replacement from {x: 1, u: 2, y: 3, j: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3\/8, -0.4, -91?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 252226.\nAnswer: 2, 13, 89, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dfdd when four letters picked without replacement from bbkbfdbbfdfdddfdf?\nAnswer: 5\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -3*d**2 - 1\/12*d**4 + 0 + 1\/60*d**6 + 0*d**5 + 0*d**3 + 0*d. What is the second derivative of f(o) wrt o?\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 411 (base 9) in base 11?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 16*f + 32. Let t be c(-14). Let m(x) = 5 + 3*x - t - 2*x. Determine m(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4 + 198*o**3 - 210*o**2 - 1006*o - 600.\nAnswer: 2*(o - 3)*(o + 1)**2*(o + 100)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + 13*f - 1. Let p(d) be the first derivative of -7*d**2 + 2. What is the remainder when s(7) is divided by p(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k - 37*k**2 - 65*k**2 - 4*k**2 to u*k**2 + v + f*k and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -102720412 by 4.\nAnswer: -25680103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -4 (c) -1\/12 (d) 17 (e) 2.9 (f) -71\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/140 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2513 is divided by 440?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 152 - 147. Let a(m) = 2*m - 1. Let r(j) = -2*j + 1. What is y*r(n) + 6*a(n)?\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a6 - -30?\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2*w = -35. Suppose -g + 22 = 2*o, -16*g + 36 = -14*g - 4*o. Let v = w + g. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3891\/7742 + 10\/3871. Let y = -5 - -4.7. What is the closest to m in y, -2\/17, -0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -79274516*r**2 + 4*r + 3388076.\nAnswer: -158549032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, -28.2, -3, 0.2, -2?\nAnswer: -28.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 42.9 + 86085.\nAnswer: 86127.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 140669531 to the nearest integer?\nAnswer: 11860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1772 - -6546. What is the tens digit of s\/8 + (-1 - (-8)\/32)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002509 to 5 decimal places.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*s = -20*s - 26*s + 315 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.46 + -0.06. Let u = 17.1 + -17. Let v = 8 + -6. Which is the second biggest value? (a) p (b) v (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 860*j**5*z**2 + 11*j**4*z**2 + 1178*j**2*z + 4*z**2 wrt j?\nAnswer: 51600*j**2*z**2 + 264*j*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of y**5\/15 - 13*y**2\/2 + 70*y. Let h(t) be the first derivative of k(t). Let j(a) = -16*a. Calculate h(j(r)).\nAnswer: 1024*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, -34, 2 in decreasing order.\nAnswer: 2, -30, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 1:45 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13276.1336 - 1.4336. Round r to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 10) to base 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0563 + -170.6563. What is d rounded to the nearest ten?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 4*x**2 + 10*x - 4. Let s be l(-6). Suppose 3*b = 5*i - 2397, 5*i - s*i = -3*b - 1443. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/41 equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 73 + -67. Let h(u) = u**3 + 7*u**2 + 6*u - 4. Let z be h(-6). Let k = z + y. Solve -b - 3 = -k for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + c = -4*c - 4, 4*c - 16 = 2*x. Let m = x - -26. Let o(n) = -4700*n**3 + n**2 - 11*n + 10. Let u be o(m). What is u rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c**2 - 3*c**2 + 0*c**2)*(619*c**3 - 490*c**3 - 277*c**3) - 8*c**5 + 2*c + 12*c - 13*c + 2*c**2.\nAnswer: -304*c**5 + 2*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)\/(1*sqrt(12))*4 + (5*sqrt(156)*1)\/sqrt(12))**2.\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t**2 - t**2 + 3*t**2)*(2 - 3 + 0)*(247 - 348 + 233) as v*t**2 + g + o*t and give v.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -303731.643 to the nearest one hundred.\nAnswer: -303700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 73282?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 459 by -2960.\nAnswer: -459\/2960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**2 - 14*c + 24 = 0 for c.\nAnswer: 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.04 + 1. Let p = 2.96 - y. Let d(n) = -n**2 - 10*n - 17. Let t be d(-8). Which is the nearest to -1? (a) p (b) -2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 483\/(-570) - 3\/5. Let f = n - 1\/19. Let m = -1 + -1. What is the second biggest value in f, m, -1\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d - 161 + 11 = -11*d. What is the closest to 1\/3 in 0, -99, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58\/(-14) - -4*1\/(-28) - -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q + 0*q + 2*q + (-7 + 7 - 4)*(3 - 1 + 1)*(2 + 2 - 5 - 2*q) to v*q + g and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -3*g + 2*g, 0 = 3*c - 5*g. Suppose 3*z - 2*z - 15 = c. Calculate the highest common divisor of z and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 726 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 4*x**2 + 393*x + 3573. Determine w(-13).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5 - 429\/((2 + -186)*(-9)\/(-18)) and 77\/12.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1823*b*z**4 + 178*b*z**2 + 4*b*z wrt z.\nAnswer: -43752*b*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*p - 172*p = -210*p + 3700 for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-7)*i**2*i*i**5*(i**(-1\/7)*i*i*i)\/i)\/((i*i**1*(i\/((i\/i**1)\/i))\/i)\/((i*(i*i*i**(2\/5)*i)\/i)\/i)**(-5\/13)) assuming i is positive.\nAnswer: i**(-97\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-17)*o*o*o**(-10\/3)*(o\/(o\/(o*o**11\/o)))**14 assuming o is positive.\nAnswer: o**(407\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44*i - 99*i - 28*i)*(-i - 3*i + 5*i).\nAnswer: -171*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 774*z - 17. Let a(g) = -516*g + 11. Give 8*a(c) + 5*k(c).\nAnswer: -258*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) -2\/25 (b) 3 (c) -1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 7*k + x = -68, 2*x + 71 = -5*k. Put 1, -5, k in descending order.\nAnswer: 1, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33212 (base 14) to base 3\nAnswer: 20021221110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38440272 to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 209?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 j when two letters picked without replacement from prppmqjppprprqqqqm?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.098 - -0.902. What is the smallest value in -1, b, -7, -2\/9?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 7403 and 7403 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of 0*z - 6*z**2 - 7 - 7\/3*z**3. What is the second derivative of g(v) wrt v?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -91 - -94. Suppose -2*c = -n*j + 679, 0 = -0*j + 3*j - 3*c - 675. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 848507.\nAnswer: 11, 77137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f. Let i(h) = -2*h**3 - 5*h**2 + 9*h - 6. Let j be i(3). Let o = -85 - j. Determine y(o).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 5*z - 12. Let y = -0.01 + -0.39. What is the nearest to z in 5, -0.1, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 6:10 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1414935.\nAnswer: 3, 5, 47, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 148335*-0.4.\nAnswer: -59334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**4\/9 - 1934*t**3\/9 + 3212*t**2\/3 - 15400*t\/9 + 7696\/9 = 0 for t.\nAnswer: 1, 2, 962","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a + 10. Let n be w(-7). Let g = 1767 + -1766. Suppose 0*o = -o - g, i = -n*o. Solve 0 + 3 = i*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -58, 759, 9, 4, 2 in decreasing order.\nAnswer: 759, 9, 4, 2, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1664487941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1752517 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1152182093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -2\/9*x**2 - 6*x + 0 + 1\/27*x**3 + 1\/54*x**4. Determine l so that p(l) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 240243 + -1234?\nAnswer: 236006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*k = -k - 4, 0 = 4*u + 4*k - 36. Suppose -4*z + p + 964 = u*p, -p - 231 = -z. Let q = z + -79. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.28 + -21.78. Let q = h + -1.5. Let z = q - -18.2. What is z rounded to zero dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 10:13 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 267, 253, 227, 183, 115, 17, -117?\n\"Answer: -v**3 - 7*v + 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**2 - 22704*b - 4344623 = 0.\nAnswer: -22511, -193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 20*y**2 + 41*y + 33. Calculate s(22).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -47 + 35. Suppose 451 = 3*l - 3*q + 145, h*l = q + 300. Let j = -17 + l. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, t: 6}. What is prob of sequence tt?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*f**2 - 7688\/5 - 248\/5*f.\nAnswer: -2*(f + 62)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 5\/857?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51*0.09.\nAnswer: 4.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -1 + 17. Let l(u) = -u - 6. Let k be l(-6). Suppose -4*b + 2*h + 16 = k, b - 5*h = -0*b + 22. What is the remainder when n is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27\/2 of a millennium?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2729\/18 + 465073\/3060. Calculate the common denominator of 99\/28 and d.\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-2))\/(3\/(-288)). Suppose 5*a + 0*n - 3*n = 55, 2*a + 4*n - k = 0. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -33.712 and 12383.\nAnswer: -417455.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of s**3\/3 + 3*s**2\/2 + s. Let l(u) be the second derivative of u**3\/2 + 5*u**2\/2 - 123*u - 1. Give 5*j(i) - 3*l(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2282717 and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 720006 and 18879.\nAnswer: 20880174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 519714 and 123942.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*q + 420 = 53*q - 33*q for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -69.8497 and -313089.\nAnswer: -313158.8497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 293 in increasing order.\nAnswer: -4, 2, 293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 289527922 divided by -113.\nAnswer: -2562194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o + 1. Let w be 2\/((-24)\/(-63)) - 7\/28. Suppose 12 = -2*t - w*u, -2*u - 4 = -2*t - 2. Let v(x) = 5*x + 4. Give t*v(c) + 4*r(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 12 + ((-4)\/(-34) - (-100)\/17)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -1 + 5 - 7 - 279*b**2 + 4*b + 277*b**2. What is p(5)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.7 (b) -9 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/108 and -163\/84.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-4)\/18)\/(-5*((-56)\/(-660))\/(-7))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*p**5\/4 - 89*p**4\/4 - 33*p**3\/2 + 89*p**2 + 14*p = 0.\nAnswer: -2, -2\/13, 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 32\/7, 0.5, -77\/4, -0.1, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 51 and 0.5.\nAnswer: 25.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*f - 84*f = 200. Let p = f + 55. Solve p = -4*c + 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4*u = -26, 17 = -c - 4*u - 1. Suppose -5*v = -c*v - 297. Let t be 3\/1*-3*-1. Calculate the greatest common factor of t and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 121000101021 (base 3) to base 6\nAnswer: 10431141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -29689 (c) 2 (d) -166 (e) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/9)*c*c*c*c**(-5))\/(c**1*(c\/c**(-3))\/c))\/((c\/(c*c*c**(-4))*c**(-2))\/(c**(-1\/3)*c)**13) assuming c is positive.\nAnswer: c**(13\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -232, -632, -1284, -2182, -3320, -4692, -6292, -8114?\nAnswer: -10152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 106 and 8586?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 7:00 AM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -861954978 divided by 157954.\nAnswer: -5457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -9. Let z be 0 + -5*(a + -2). Let j be 106\/10 + 15\/(-25). Solve 4*i - z = j for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13534 >= 13535?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(27))\/sqrt(3))\/(sqrt(75) - (sqrt(75)*-3 - sqrt(75))).\nAnswer: -2*sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(30\/(-8))*312. Let l = o - 271. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h*h\/h**(1\/2))**(-1\/2)\/(h\/(h*h\/((((h\/h**(6\/7)*h)\/h)\/h)\/h)*h)*(h**0*h*h)\/h)*h**(6\/11)*h**(-2\/7)*h**(-5)\/h**(2\/9) assuming h is positive.\nAnswer: h**(-10687\/2772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 160.7918\nAnswer: 32.15836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19)\/(2736\/(-224)))\/((-4)\/(-18))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**0)\/c)**(2\/15)*(c**(-2))**(1\/5) assuming c is positive.\nAnswer: c**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y**4 - 1 + 1 + (4 - 2 + 2)*(1 + 0 - 2)*(-6*y**4 + 0*y**4 + 4*y**4).\nAnswer: 12*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-3))\/((-2)\/(-6)). Let v be (l\/(-3))\/((-8)\/36). Let y(d) = -d**2 + d + 6. Let p be y(v). Solve -n = -p*n - 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3539 - -1.74748072.\nAnswer: 3540.74748072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-110)\/605)\/(-15*1\/(-33)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149839811 to the power of 1\/2, to the nearest integer?\nAnswer: 12241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1521, 1507, 1469, 1395, 1273?\n\"Answer: -2*p**3 + 1523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 180*x + 70844. Give w(-396).\nAnswer: -436","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 187268214 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*d = -93*d + 24. Let f be (-120)\/(-100)*d*10\/(-8). Determine j, given that -12\/7*j**2 + 12\/7*j - 4\/7 + 4\/7*j**f = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 158 + -154. What is the least common multiple of 100 and f?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*g - 14*g = 2*l + 186, 0 = 4*g + 2*l - 156. Solve -7*h = g - 3 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j**2 + 163 - 163 - 16*j**2 - 10*j**2.\nAnswer: -20*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -c**2*k**2 + 253*c**2*k*m - 122*c**2 + 3*k**2 + 4*k*m - 2*m - 318 wrt c.\nAnswer: -2*c*k**2 + 506*c*k*m - 244*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -95 + -5. Let l = x - -104. Let w be 215\/45 - l - 1. What is the closest to -2 in 4, 0.2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.2 and 358594948 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 5*r - 9*r + 603, -5*r - 1005 = -5*s. What is the remainder when s is divided by 188?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -804 = -2*g + 7*u - 3*u, -4*u = 8. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7029 and 17688.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-28 - (8 - 22)) + (84 - (-2 + 1 + 9))\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 14*g**3 + 3*g + 2. What is o(-1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(637) - sqrt(637)) + -3 + -3*(1 + sqrt(468)))*2.\nAnswer: -36*sqrt(13) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 54829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -11*h - 166. Let y(f) = -9*f - 165. Calculate 4*j(w) - 5*y(w).\nAnswer: w + 161","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 1. Let s = -21 - -14. Let i = s - -7. Which is the closest to i? (a) f (b) -4 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 + -30.3. Let z = m - 0.2. Let j = 10 + -9.98. Put 2, z, j in decreasing order.\nAnswer: 2, j, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and (-5 + 305\/10)\/((-1)\/(-6)).\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 109 - 42. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 285 - 281. What is the lowest common multiple of 3 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (-7 - -7)) + 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 124\/(-44) + (-6)\/33. Calculate the remainder when 84 is divided by (-45)\/v + (-6)\/(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fpb when three letters picked without replacement from fbpf?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q. Let v(h) be the third derivative of 811*h**5\/60 - 5*h**2 + 52*h. Give s(v(u)).\nAnswer: 1622*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(3*4\/(-6))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -24720.66.\nAnswer: -24720.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-4))\/((-2)\/8). Suppose 3*o - c + 11 = 33, c = 5*o - 36. Let b be ((-6)\/o)\/(s\/42). Calculate the greatest common factor of 27 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-24)\/(-7))\/(-4)*-28. Suppose 18*q - 19*q = y. Calculate the common denominator of 95\/4 - 12\/q and -74\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 6*s + 5. Calculate l(8).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-139*1)\/((-2)\/(-10)). Let w = x - -2062\/3. Is -7 <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 41, 86, 127, 164, 197, 226?\n\"Answer: -2*m**2 + 51*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*u - 10 = 38 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -478 + 483. Solve -o = -w*m - 3, 15 = 5*o - 3*m - m for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2229385?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23649 - 70948\/3. Sort -1\/5, 1, q in ascending order.\nAnswer: q, -1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**2 - 2*b**2 + b**2 + (2*b**2 + b**2 - 2*b**2)*(0 - 2 + 4) + 4789 - 3*b**2 - 4789 + 3*b.\nAnswer: b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 57 - 34. Suppose 0 = 2*f - t - 63. List the prime factors of f.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = o + 2. Let d = 0 - o. Does 12 divide 4\/(-6) - 222\/d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -305 - -6?\nAnswer: -277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of s**3*t**2 - 7155*s**3 + 2*s**2*t - 2*s**2 + 25*s*t**2 + 2*s*t + 756*t**3 - 14*t wrt t?\nAnswer: 2*s**3 + 50*s + 4536*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**5\/5 + 4647*l**4\/5 - 65523*l**3\/5 + 192237*l**2\/5 - 18936*l\/5 - 56268 = 0 for l.\nAnswer: -1563, -1, 2, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-8319)\/(-12) + 9\/(-36).\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -276, -273, -272, -273, -276, -281, -288?\nAnswer: -297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 70455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 11) to base 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2043*y - 4074*y + 2025*y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3325757?\nAnswer: 523, 6359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*z = 7690 - 1750 for z.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1510038964.\nAnswer: 2, 7, 23, 97, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 876 + 1?\nAnswer: 877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 4*s**2 + 4*s - 4. Let x(a) = 0 - 10 + 16*a - 7 - 4*a**3 + 16*a**2 + 0. Suppose 3*d - 1 + 28 = 0. Let b(k) = d*g(k) + 2*x(k). What is b(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 4*u = 3*q - 18, 0 = 4*u - 20. Solve q*l + l = -12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wfff when four letters picked without replacement from {w: 6, f: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6627 and 423?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2790303764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -7*l + 2*l + 389, -l = -4*s - 61. Suppose 22*j + 4*v = 810, 265*j - 5*v + 6 = 262*j. What is the highest common factor of l and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.21 - 0.01. Let u = -0.8 - 0.2. Let g = -0.2 - 0.3. Which is the closest to u? (a) 5 (b) g (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21 in 2, -3, 17.19?\nAnswer: 17.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a tonne in kilograms?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17987164, -17987167, -17987168, -17987167, -17987164, -17987159?\nAnswer: -17987152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 10:55 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 5*s**2 + 2*s - 22. Let l be o(-6). Suppose 3*q = 4*b - 99599991, l*b - 4*q = 46732430 + 3067558. What is b rounded to the nearest 1000000?\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/60*6)\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k*y**2 - 1070*k*y - 1178*y**2 - y with respect to k.\nAnswer: 2*y**2 - 1070*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 1.4 (b) 0 (c) -1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 3:01 PM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-72)\/(-7) + (-22)\/77. Let j(k) = -k**3 + 6*k**2 + 7. Let a be j(-5). Let o be 1\/(-5) + a\/x. Solve 3*t - 4*s = -o, 5*s - 10 = -2*t + 2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 2.9. Let b = -255 - -255.88. Let h = b + 0.12. Put 15, q, 0.2, h in descending order.\nAnswer: 15, h, 0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sxtsnxxxsttssxxnn. Give prob of sequence xn.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**2 + 19*q + 5. Let t(c) = 2*c**2 - 20*c - 4. Let o be -2 - (135\/108 + (-6)\/(-8)*1). Give o*l(j) - 5*t(j).\nAnswer: -2*j**2 + 24*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10962\/(-91) + 760 + -640?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 22. Let f(z) = -78*z + 21. Let g be f(0). Is l greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 162 + 51. Let n = w - 208. Let z(h) = -h**2 - 7*h - 5. Calculate the least common multiple of n and z(-4).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/6403944 and 71\/9780?\nAnswer: 32019720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + z + 4. Let q(x) = 3*x**3 + 2*x + 10. What is 15*p(y) - 6*q(y)?\nAnswer: -3*y**3 + 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -35.\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41381 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3246236 (base 9) to base 3\nAnswer: -10021120021020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -450524 (base 8) to base 2\nAnswer: -100101000101010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3788\/28 - (3 - 0). Let w = x + -132. Which is the nearest to 0? (a) -5\/4 (b) -5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 8:44 PM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -m, 0*m = -2*x - m + 23. Calculate the highest common divisor of 36 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1102143 divided by 52483.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 99960116 a multiple of 3554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 23932711567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6155000 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 3*o**3 + 804*o**2 + 26415*o - 86562 = 0?\nAnswer: -229, -42, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + g)*(-2 - g**2 + 2) - 5*g**3 + 3*g**3 + g**3 + 10*g**3 - 10*g**3 - 36*g**3 as t + m*g + f*g**3 + j*g**2 and give f.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - 26\/8)\/(8\/192). Let z = -115 - x. What is the least common multiple of 110 and z?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -61*f - 5. Let v(m) = m. What is v(i(q))?\nAnswer: -61*q - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 384 - 246 = 0. Calculate the highest common factor of 9 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/6*8\/64*-18?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/7, 1\/131681, -5, 4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 141 - -100?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-20)\/(-10830))\/(-4 + (14 + 1)\/3). Suppose -g = 2*g. Does j = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -i**4 - 2*i**3\/3 + 11*i**2\/2 + 18*i - 8. Let u be k(6). Is 11 a factor of u\/21*70\/(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9752149 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4469*c**2 + 2230*c**2 + 2234*c**2.\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m - 59. Let z(b) = 45*b**2 - 11*b + 21. Give z(l(p)).\nAnswer: 405*p**2 - 15963*p + 157315","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -90*j**2. Let l(a) = 10*a**2. Determine l(g(z)).\nAnswer: 81000*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of r**4\/4 - 5*r**3\/3 - 3*r**2 + 5*r + 11. Give a(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 5*f**3 - 2*f**2 + 4*f - 5. Let d be o(4). Suppose 5*z + d = 754. List the prime factors of z.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + m. Let t be -2 - (-32)\/14 - (-1098)\/(-21). Let r = 53 + t. Let o(i) = -i**3 - i**2 - i - 1. Calculate r*o(q) + d(q).\nAnswer: -q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 233*f**3 - 2*f**2 - 2*f. Let k be d(3). Let t be k\/42 - 2\/4. Let w = -149 + t. Are w and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -2*f + 1 + 3, 2*f = 4*d + 36. Let g be (f\/6)\/(2\/6). Solve b - g*b = -5*j + 11, 0 = 2*j + 2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 35 = 5*r, 3*r - o = 1 + 6. Let m(n) = n**2 - n - 4. Give m(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l = -5*r - 19*l + 29, 3*l - 13 = -r. Solve r + 6 = -10*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5642 (base 10) in base 6?\nAnswer: 42042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 419, 2202, 5283, 9662, 15339, 22314, 30587?\nAnswer: 40158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16428818761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-1560))\/((-216)\/286416).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -5, 0.35, -2\/3, -4 in ascending order.\nAnswer: -5, -4, -2\/3, 0.35, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8426 - -0.22781.\nAnswer: 8426.22781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -z**2 - 35*z - 670. Give d(-10).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4499 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -5*j + 3*u, 0*j - j - 3*u = -16. What is the greatest common divisor of j and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34 and 816?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.24 - -0.3. Let l = 2.06 - v. Let j = 2.1 - l. What is the second smallest value in j, 0.5, -2\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**2 - 17*s**2 + s**2 + s**2 to i*s**2 + m + u*s and give i.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((12\/4)\/3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8398, -10958, -13518?\nAnswer: -16078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19.2 - 1.2. Let s = x + -19. Let f = 6 + -8. Which is the closest to -0.05? (a) 0.2 (b) s (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2)*q**(-13))**(-20) assuming q is positive.\nAnswer: q**300","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11448\/336 - 4\/56 - 8. Calculate the highest common divisor of a and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + a - 3 - 93 - a**3 to h*a**2 + s + g*a + o*a**3 and give s.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2092578796 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 476344?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18)\/(-2) + 0\/2. Let k(c) = 2*c + 1. Let w be k(2). Suppose g + 9 = w*j, -j + y = -3*g - 4. What is the third biggest value in 4\/7, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -6*i**2. Let m = 1205 - 1205. Let c(h) be the second derivative of 0*h**2 + 1\/4*h**4 + m*h**3 + 0 - h. Give c(v(a)).\nAnswer: 108*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*f - 1 - 6*f - 8*f**2 - 4*f + 23*f**2 to u + n*f + d*f**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61273086 is divided by 212.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2919 + -11673\/4. Sort -2\/55, p, 0, -5.\nAnswer: -5, -2\/55, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 1052a?\nAnswer: -10529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 8:38 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 175*z + 2. Let b = -20 + 22. Let u be t(b). Suppose 4*r - u + 72 = 0. What is the remainder when r is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 163*z**2 + 2 - 114*z**2 - 2. Let g(i) = 2*i. Give g(u(o)).\nAnswer: 98*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00613132 rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 3*l - 22, -d - 2*l + 12 = -3*d. Suppose -6*t + 7*t = 24. Let w = t + -47\/2. Which is the closest to w? (a) -1\/5 (b) d (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.247225 to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -223, -14458, -53099, -128350, -252415, -437498?\n\"Answer: -2034*x**3 + x**2 + 1810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 106, 309, 694, 1321, 2250?\nAnswer: 3541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 20 = -2*t, s + 5*t + 23 - 6 = 0. What is the third smallest value in s, -27, 2\/3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**3 - 113*t**2 - 175*t + 160. Calculate h(58).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 3*b. Let q be x(8). Does 8 divide 30\/q + 262\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001011010000000 - 1000?\nAnswer: -11001011010001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50 + 736. Let b = p + -802. What is the closest to -1 in b, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3817766?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or 3662?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 194079951?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6453 (base 8) to base 13\nAnswer: 16c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -d**7\/70 - d**6\/16 - d**5\/10 - d**4\/16 + 5*d**2\/2 - 7. Let t(w) be the second derivative of f(w). Factor t(n).\nAnswer: -3*n*(n + 1)**2*(2*n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -944320000 rounded to the nearest 1000000?\nAnswer: -944000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24721 + 24722. Suppose 2 + 4 = 3*r. Let h be (-16)\/(-3) - r\/6. Solve -o = 3*z - 14, o - h*o + w = z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/7, 2\/3, -3\/14, 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 5:30 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 8*s - 11*s)*(72*s**2 - 176*s**2 + 50*s**2) + 0*s**3 + 2*s**3 - s**3.\nAnswer: 973*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-6) - (-7)\/3. Suppose -5*k + k - u*m + 42 = 0, m = -5*k + 57. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -49894\/7 (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/(-10))\/((-4)\/10). Which is smaller: l or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 5*h - 99. What is n(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 2*g + 0*g)*(-1 - 3*g + 0*g + g) - 4*g**2 + 5*g**2 + 10*g**2.\nAnswer: 9*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 44*l**2 - 45*l + 81. Calculate g(-43).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 7*k**2 - 6*k + 2. Let d be b(6). Find the third derivative of -2*y**2 + 0*y**3 + d*y**3 - y**2 wrt y.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1631 + -2340. Let t = g - -709.01007. Round t to 3 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*w + 33*w - 3*z - 23 = 0, -3*z = 3*w + 9 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 1)*4\/(-12). Suppose 5*k + 30 + 15 = d. Let w be 6\/k + 40\/6. Solve -2*f - w = f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pymm when four letters picked without replacement from {y: 16, m: 3, p: 1}?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**3\/9 + 970*l**2\/9 - 5828*l = 0.\nAnswer: 0, 62, 423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36120, -36247, -36376, -36507, -36640, -36775?\nAnswer: -36912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 0 - (22 - 8)) + (-20 - -11).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -45, -124, -4?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/((-8)\/(-4)*-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -5954291.\nAnswer: -1786287.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300) - (2 + sqrt(1300))**2) + -4 + -3)*-6.\nAnswer: 180*sqrt(13) + 7866","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-2\/13)*x**39*x)\/(x*x**(-28)*x*x**(-34)) assuming x is positive.\nAnswer: x**(1311\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + s + 7. Let a be m(6). Let v = -32 - a. Let z be (-54)\/v + (-2 - -1). Solve z*u = u - 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6490 and 46610?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 665 divide 267995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/(-21) + (-86)\/(-6). Let s = v + 11. Calculate the remainder when s is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**3 + 22*r**2 + 468*r - 8258. Calculate h(17).\nAnswer: -3770","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-55) + (-5)\/66*-9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 432 and 2976.\nAnswer: 26784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 c when four letters picked without replacement from {c: 8, t: 3}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 342099 greater than 343721?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -25. Suppose -3*n - 5*k + 2228 = 0, -8*k + c*k - 736 = -n. Let j = n + -386. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -229\/12668?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 31) + 784 + -754?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.189 - -80.811. Let x = -80.99999947 + o. What is x rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(308\/(-8))*(-1)\/(-2).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*1*sqrt(1008)*4.\nAnswer: 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -54913765*i**4 - 140*i**2 + 927*i - 25 wrt i.\nAnswer: -1317930360*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/1228 and -22.\nAnswer: 1228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mvsksoo. What is prob of sequence ksmv?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of 0 + 0*o**2 + 0*o**3 + 62*o - 1\/70*o**5 + 1\/14*o**4. Factor a(c).\nAnswer: -2*c**2*(c - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, 15.52, -9, -14, -2\/23?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (235\/(-35) - -7)\/((-4)\/(-7))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*g = -28371004, 66372618 - 9630612 = 2*r - 3*g. What is r rounded to the nearest one million?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(4 + 3 + -1*sqrt(288) + 0))**2.\nAnswer: -672*sqrt(2) + 1348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 7*u**2 - 5*u - 1. Let b be n(-7). Suppose 6 = -4*k + b. Let l = 3798 - 3796. Sort k, -3, l in increasing order.\nAnswer: -3, l, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 60*h**2 - 9*h - 9. Let j(f) = -f - 1. Give -9*j(a) + r(a).\nAnswer: 60*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -86.815231 rounded to 2 decimal places?\nAnswer: -86.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 232 divide 27235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tooootojoottoojt. Give prob of picking 1 o and 1 j.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -533 + 526 + (0 - -69).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6771.71 minus -4729?\nAnswer: 11500.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4542?\nAnswer: 2, 3, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 262 divide 4447188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1958?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - l**2. Let b(n) = 2*n**4 + 5*n**3 + 11*n**2. Let r(j) = -2*b(j) - 18*z(j). Factor r(w).\nAnswer: -4*w**2*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + 15. Suppose 3*k + o = 6*k. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/4, 3\/7, 0.4, -30.02, -2 in increasing order.\nAnswer: -30.02, -3, -2, -1\/4, 0.4, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3 + 4. Let d be 1\/(-2)*(j - 53). Calculate the greatest common factor of d and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12376 - -6662. Is j a multiple of 225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*n**3 - 36*n - 166 wrt n?\nAnswer: 9*n**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 381272*f**3 + 554*f + 19 wrt f.\nAnswer: 2287632*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 4*i - 28, 5*i - 61 = c - 38. Let d(q) = 12*q + 102. Let z be d(c). Let l(j) = 2*j + 4. Determine l(z).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205637875 a multiple of 2166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + b**2 - 27. Let g be v(0). Let n = g - -29. Find the second derivative of z + z - 9*z**2 + n*z + 5*z wrt z.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 919*o + 928*o - 7*o**2 + 1 + 0 - 1847*o. Let d be 1 - (0 + 3 - 3). Determine t(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -15*p. Let n(w) = -32564*w**2 + 32504*w**2 - 4*w + 4*w. Determine n(f(r)).\nAnswer: -13500*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 + 108*n + 29081533.\nAnswer: -(n - 5447)*(n + 5339)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/6*17*1526\/1. What is the tens digit of (-10)\/(-25) - q\/35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 88, 186, 308, 466, 672?\n\"Answer: 2*h**3 + 84*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1977\/11 - 180. Let f = 1\/2547 + 16969\/28017. Let p = i + f. Which is the third smallest value? (a) -1\/9 (b) p (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2107199 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + (-1 - (2 - 4)). Let h = t - 1. Suppose -10 = 4*y + h. Is -3 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*d**2 + 18*d**2 + 20*d**2 + 6*d**3.\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - o + 2. Let z be f(2). Suppose z*i - 20 = 20. Solve 0 = i*r - 7*r + 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 27*x**2 - 220*x - 30. Determine n(5).\nAnswer: -455","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 245\/12633?\nAnswer: 245\/12633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 71748 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + x**2 - x. Let m(g) = -9*g**4 - 5*g**3 - 93*g**2 + 5*g. Let y(l) = 5*a(l) + m(l). Find the third derivative of y(d) wrt d.\nAnswer: -216*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 13 = -5*u - 3, 2 = u - 5*w. Suppose -m - 16 = -5*b - 4*m, b + 2 = u*m. Solve -h = -b*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((sqrt(144) - 4*(sqrt(144) - ((1*sqrt(144) - sqrt(144)) + sqrt(144)))) + sqrt(144) - sqrt(144))\/(sqrt(300)*1*1))**2 + -2.\nAnswer: 12\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 9) to base 13.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 480 + -150. List the prime factors of n.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttttottttttttt. What is prob of picking 3 t?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -17\/128 (b) -0.085 (c) -517\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/2))**(4\/5)\/(k**(-2))**16 assuming k is positive.\nAnswer: k**(158\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -6 - 9. Solve 4*y - 2*b = f*b - 40, -2*y + b - 14 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -729, 0.4, 5\/58, 0.1, -1\/3, -1 in descending order.\nAnswer: 0.4, 0.1, 5\/58, -1\/3, -1, -729","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -2. Let i be (-69)\/15 - (-6)\/(-15). Let s = 0.05 - -0.35. Which is the closest to z? (a) s (b) i (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i - 232*i + 0*i**3 - 276*i + 2*i**3.\nAnswer: 2*i**3 - 507*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 25 - -1?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 10 = -0. Suppose 3*g - h*g - 5 = 0. Let f be 1\/(-7) + 645\/105. Solve -g*z = f + 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2\/2 - 171*x\/2.\nAnswer: 3*x*(x - 57)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4409747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 172? (a) 2\/13 (b) 2 (c) -2\/5 (d) -0.3 (e) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10.4 - -14.85. What is x rounded to zero dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 11*i**2 + 2*i. Let q be y(11). Does 29 divide 4\/q + -2 + 11564\/44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d8c - -14d28?\nAnswer: 13e8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 688 and 1462.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0384 - 84.\nAnswer: -83.9616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 4*t + 40, -1149*t = -1153*t - 40 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 9\/5, 2, -2 in ascending order.\nAnswer: -2, 9\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*6*((-11)\/(-16) + 385\/6160)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7606 = -2*z - 32200. What are the prime factors of (z\/(-6))\/13 - (-4)\/(-24)?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 49361025?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(44)\/sqrt(4)*-1).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of 7\/2*u**2 - 1\/10*u**6 + 6*u - 2*u**3 + 0*u**5 + 0*u**4 - 1. Differentiate d(o) with respect to o.\nAnswer: -12*o**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1934734*n - 1934802*n - 3808 for n.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -25*j - 296. Let m be i(-12). Solve -z + 8 = 7*n - 2*n, -2*z + m*n + 2 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 1:20 PM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-16))\/(5055\/215680)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1261, 33, -2, 5, -50 in increasing order.\nAnswer: -50, -2, 3, 5, 33, 1261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*4\/(-12) + 10. Let s = 13 - z. Factor s*j**2 + 16 + 15 + 18*j - 4.\nAnswer: 3*(j + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -634, -632, -630?\nAnswer: -628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -857 and -0.16.\nAnswer: 137.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 k, and 2 w when four letters picked without replacement from {m: 2, v: 7, w: 4, k: 1}?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 687 - 689. Is -18\/23 > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-188)\/(((29568\/80)\/154)\/(9\/(-5))).\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/sqrt(810) + 1)*-3.\nAnswer: -3 - sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, 929, 3, 0.04, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -s**2\/2 - 10*s - 8. Let h be n(-12). Suppose 4*u - 289 = 3*b, -4*b - 36 = h*u - 208. What are the prime factors of u?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7535287us in nanoseconds?\nAnswer: 753.5287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/4 of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**2 + 2*k**2 + 0*k**2 + 4*k**2 + 4*k**2 - 2*k**2 + (62 - 62 - 2*k)*(k + k + 0*k) + 0*k**2 + 0*k**2 - k**2.\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**3 + 83*m**2\/4 + 21*m\/4 = 0.\nAnswer: -1\/4, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3821\/130 - -7\/65. Calculate the common denominator of 1\/(-3) + 1\/48 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 148 = 5*g, -4*g - 58 = -l + 14. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1122 (base 3) in base 6?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 5*b - 5, 0 = 5*c - 5*b + 3*b + 4. Let w be -7 + 12 + (-8 - (-4 - c)). Which is greater: 9\/22 or w?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 216599985 = 3*l, -39*o = 4*l - 35*o - 288799988. What is l rounded to the nearest one million?\nAnswer: 72000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32871736 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 16 = -2*k, -55*k + 3*x - 1 = -54*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23.1 + 23. Let f be (-3)\/(-4)*(-2)\/(-2). Let m = -2 + 1.7. Which is the closest to l? (a) -0.5 (b) f (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1010, -7760, -26262, -62450, -122258, -211620, -336470, -502742?\n\"Answer: -989*h**3 + 58*h**2 - h - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 24\/11, 44, 16.6, 0.5 in increasing order.\nAnswer: 0.5, 4\/5, 24\/11, 16.6, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 3*n + 12, -2*n = 2*n - 4. Factor 3 + 1 - 1 - 2 + s - s**2 - s**q.\nAnswer: -(s - 1)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -5 (b) -0.1 (c) -4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 172*m**2 - 288*m + 9. Let s(u) = -58*u**2 + 96*u - 4. Let q(j) = 4*b(j) + 11*s(j). Find p such that q(p) = 0.\nAnswer: -2\/25, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*i + 2*i**2 - 1 - 3*i + 0*i**2 + 22*i as p*i**2 + r*i + l and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + b**2 + 5*b + 25. Let h(o) = -5*o. Let j be h(0). Let u be c(j). Suppose -u*a + 20*a = -3155. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from nnnnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2735*d**2 + 836*d + 5479*d**2 - 2745*d**2. Let t(r) = r**2. Give m(t(y)).\nAnswer: -y**4 + 836*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 350714 and 350714 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h = 5*h - 5, -h - 16 = 5*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 2*w + 3 = 0, 3*w = 5*f - 2 + 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2002 + -111340120?\nAnswer: -111333113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 22*q = -5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10787 to the power of 1\/2, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 5*k + 10. Suppose 2*u = 5*u - 24. Suppose -20 = 3*f - u*f. What is the least common multiple of j(6) and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -f**3\/6 - 2*f. Let w(s) = -s - 1 + 1. Give w(k(a)).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 4:32 AM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of 19*w**4\/12 - w**3\/6 - 7*w**2\/2 + 40*w. Let i be y(-2). Let n = 140 - i. What is the remainder when n is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86\/56 + (-190)\/665.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 299314885 rounded to the nearest one million?\nAnswer: 299000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/5474534 and 113\/78?\nAnswer: 16423602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4*q + 2*q - 5*q - 6*q**2 + 0*q + 1. Let b = -3 + 2. What is z(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(1100) - (sqrt(1100) + 0)) + -5))**2.\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 3 = -9, 0 = -h + 4*w - 20. Let f = 43 - h. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - c3?\nAnswer: -bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/9 + 15755477*n\/9 - 10503650\/3.\nAnswer: -(n - 15755475)*(n - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 + -38 + (1 - (-183)\/(-27)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s - 60*s + 1293 = -315 for s.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -21*g + 1457. Give z(72).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 104?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 14. Let j = -25100 - -25097. Sort -2, j, -5, r.\nAnswer: -5, j, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/8, -36, -10, -5, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*k - 1040294 = 18855706. Round k to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*l**2 - 10*l**2 - 27*l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14455\/4 + 1463\/(-836)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-6)*3\/(-6). Let i = -0.1 + 1.1. Let r = i + -4. Which is the nearest to 2? (a) r (b) 2\/5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o - 6*o + 9*o + 10*o.\nAnswer: 14*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -405*y + 411*y = 0. Which is greater: -2\/2635 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 278 + -274. Let m be y + 30 + (-7)\/1. Solve -10*j = -j + m for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -7, -4, -15, -5, -18 in decreasing order.\nAnswer: 22, -4, -5, -7, -15, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of z**9\/3780 + z**6\/90 + z**4\/4 + 7*z. Let r(m) be the third derivative of l(m). Find the second derivative of r(p) wrt p.\nAnswer: 48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 6*m**2 - 4 - m**3 + 7 - 7*m + m**2. Let d be s(6). Calculate the lowest common multiple of 14 and (-12)\/(-9) + (-2)\/d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 9, 5*b - i - 3*i + 22 = 0. Let s be 30\/(-12)*b + 59. Calculate the highest common divisor of 48 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((2 + sqrt(720))*6*-4 + (1*sqrt(720) + -1 - 5*(sqrt(720) + (sqrt(720) - (sqrt(720) + -1)))))*-4)**2*-4.\nAnswer: -581013504 - 37158912*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 1, 164 in descending order.\nAnswer: 164, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 14302 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -489 + 503. Calculate the remainder when 1021 is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10868 - -10909. Calculate the remainder when 3086 is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -19 + 83. Let a = j + -12. Solve 4*m = 2*m - a for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/7, 3\/4, -30, 25, -1?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 7\/40, 3?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.6585262us to days.\nAnswer: 0.0000000002391033125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/227 and 2\/21 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 4*o + 60, 2*o - 15 = -3*j + 27. Let i(k) = -k**2 - 9*k - 6. Let l be i(-8). Suppose l*t = -3*t. Solve 3*v - j = -t for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -622*w - 61 = -650*w + 23. Solve w*g + 4*p - 21 = 6, 2*g = -2*p + 16 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + (494 - 490 - (-2 + -2)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*f + 3. Suppose 4*b + 11 = 3. Let y be 9003\/3 + b\/f. What is y rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 2*k + k)*(-3*k + 4*k + k) - 3*k + k**2 + 3*k.\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001471393 rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -613 - -6709\/11. Is -3 at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/36 of a day?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4999522620.\nAnswer: 2, 3, 5, 109, 211, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r*r*r*r\/(r\/(r*r\/(r**(-15)\/r))*r)*r*r*r)*r*r*r**(1\/3)*r)**(-18) assuming r is positive.\nAnswer: r**354","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*k + 4*k - 46*k + 6*k**2 - k**3 - 60*k.\nAnswer: -k**3 + 6*k**2 - 175*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115117?\nAnswer: 115117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h - 311*h**4 + 0*h - 3 - 4*h**3 + 310*h**4 + h**3 to the form u*h + c*h**3 + x*h**2 + n + d*h**4 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 56130 plus 5871068?\nAnswer: 5927198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00892 to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -10. Suppose -3*a + 6 = -5*a, -a - 13 = 5*w. What is the nearest to 2\/3 in w, c, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175326497 is divided by 757?\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 571 = -30*x + 451. Put -2, x, -1174, 5 in descending order.\nAnswer: 5, -2, x, -1174","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (39\/(-9) - (-10 - -4))\/2. Let c(k) be the third derivative of z*k**3 + 0*k**4 + 0 - 1\/12*k**5 - 6*k**2 + 0*k. What is the derivative of c(r) wrt r?\nAnswer: -10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 723 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*h*p**2*s + h*p**2 - 2*h*s**3 + 5*h*s**2 - p**2*s**3 + 345*p*s**3 wrt s.\nAnswer: -12*h - 6*p**2 + 2070*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 9) to base 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 11, -4, 0 in descending order.\nAnswer: 20, 11, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -486*k + 479*k. Let c(g) be the second derivative of -g**4\/6 + g**3\/2 - 3*g**2\/2 - 10*g. Let t be c(2). Sort 6, t, k.\nAnswer: t, 6, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 30*l**2 - 28*l - 13. Let u be a(29). What is the greatest common factor of u and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 465528101 a multiple of 1642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**5 - 15*q**2 + 18*q + 18 - 7*q**3 - 2*q**4 + 5*q**4 - 18.\nAnswer: q*(q - 2)*(q - 1)*(q + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 + 15. Let q = 22 + h. Find the first derivative of -25 - q*p + 32 + 5*p wrt p.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 95 and 2715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25762414\/2635 - 9777. Find the common denominator of y and 3\/2.\nAnswer: 5270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 72 = -u, 0*j + 241 = 3*j + 2*u. Suppose 4*t - j = -5. Suppose 46 + 36 = 4*y + 5*l, 80 = 4*y + 4*l. Calculate the least common multiple of t and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -6*n + 1. Let m(q) = -22*q**2. Calculate m(f(t)).\nAnswer: -792*t**2 + 264*t - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 1.2, 1, 1\/4, 1.6 in ascending order.\nAnswer: 1\/4, 2\/3, 1, 1.2, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 5*b + 73 = -10*b, -10*h + 3*h + 6*b + 76 = -6*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 2*j + 9 + 8, 18 = 3*k - 3*j. Suppose -996 = -k*c + 2*c. Suppose -2*t + 4*y + c = 0, -y + 6*y - 830 = -5*t. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 18. Let p = 20 + -20.02. What is the nearest to 0 in 3, s, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*f - f + 80. Sort f, -1, 1 in ascending order.\nAnswer: -1, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 10 = -6. Suppose 3*u + 16 = 4*n + 7*u, 0 = -2*n - 4*u + 8. Suppose -5*q + n = 2*z, -3*z + 2*z + i = -2*q. Are q and 4\/9 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-4) - 9\/(-12). Suppose 0 = -3*l + a + 14. Suppose -l*o + 40008 = -4*t - 0*t, -4*o = -2*t - 32004. What is o rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1595 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -394 = -5*f + 6. Suppose 61 + 19 = 8*k. What is the highest common factor of f and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -501*k**2 - 11*k + 41. Let j(s) = 250*s**2 + 5*s - 19. Calculate -13*j(a) - 6*z(a).\nAnswer: -244*a**2 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 13 = -v, -5*c = -4*v - 3 + 35. Put -2, v, -96 in ascending order.\nAnswer: -96, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of r**5\/20 - r**4 - 2*r**3 + 9*r**2\/2 + 5*r. Let f be a(13). What is the highest common factor of f and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -6. Let w be (-1)\/(-2)*n\/5. Suppose -17*c + w*c = -85. Solve 2*u + 0 - 7 = 3*i, 4*u - 11 = c*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.00607 - 0.08393. What is the biggest value in -246, u, -0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -741632725\/5331 - -139117. Which is smaller: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4\/3 - 4*y**3 - 14*y**2 - 20*y\/3 + 25.\nAnswer: -(y - 1)*(y + 3)*(y + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 37*s**2 - 109*s - 5. Let m be z(15). What is the highest common factor of 10 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24723.081 microseconds to hours.\nAnswer: 0.0000068675225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -288 - -199. Let n = d - -96. Let s(p) be the second derivative of p**4\/12 - 4*p**3\/3 + 2*p**2 - p. Determine s(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/5919079?\nAnswer: -1\/5919079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -7.6. Let k = 3.02 + -0.02. What is the closest to 1 in -4, k, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and 116370.\nAnswer: 814590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1217 + 1241. What is the remainder when 113 is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1920779 (base 10) to base 15\nAnswer: 27e1be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 24 = -5*v - 68, v - o + 16 = 0. Let z = v - -15. Suppose -z*d = -109 - 11. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 136812, 136693, 136574, 136455, 136336?\nAnswer: 136217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cz when two letters picked without replacement from ccccccqcdcqqzdcc?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7798.9 nanograms in kilograms?\nAnswer: 0.0000000077989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8127 + 8127. Let t be 0\/(-4*2\/(-4)). Find p, given that 0*p**2 + t + 0*p**3 + j*p + 1\/6*p**4 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 28 - 1. Does 13 divide (-13)\/((-3 + 0)\/c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(210)\/(sqrt(24)\/sqrt(4)))\/(3*sqrt(7)*1))**2.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0, -33, 1.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -623 (b) -45969 (c) -4\/3 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*u**2 + 77*u**2 + 37*u**2 - 11*u**2 in the form i*u**2 + f + q*u and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -70150 - -108657. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -4*h + 11, -3 = y - 5*h + 18. Is -1\/40 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 90 + -2071\/23. Which is the closest to -0.1? (a) 0 (b) -1\/4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301 = -15*u + 166 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -291 - -3781\/13. Let k be (-12)\/(-2)*1*341\/1023. Let f(m) = m**3 - 15*m + 27. Let w be f(k). What is the closest to 1 in u, -1\/3, w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -12*k**2 + 33*k + 23. Let f(a) = -5*a**2 + 16*a + 11. Let p(i) = 9*f(i) - 4*l(i). Does 3 divide p(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7565320?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -509*i + 658*i - 148*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 0. What is the second derivative of -3*a + 0*a**3 + 2*a**3 + l*a - 6*a**3 wrt a?\nAnswer: -24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.686861 + -0.7178573. Let b = 0.031 + h. Round b to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 7)*(-1 - a + 1) + (-4 + 3 + 2)*(-1 + 1 + a) + 3*a - 2*a - 3*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33943, -67574, -100903, -133930, -166655, -199078, -231199?\nAnswer: -263018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 161*b**3 + 21*b**2 + 6*b + 6. Let t(m) = 323*m**3 + 41*m**2 + 13*m + 13. Let k(y) = 13*j(y) - 6*t(y). Find the third derivative of k(i) wrt i.\nAnswer: 930","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p + 22. Let c be b(-6). Suppose -g + c + 9 = 0. Solve 4*u = -3*q + 31, 5*u + 0*u - g = -q for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34705 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: Suppose -114 = -12*r + 1194. Which is the nearest to -0.1? (a) r (b) -0.6 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 783 (base 9) to base 12.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 10 = -0*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54 + 5982\/(-117) - (-30)\/(-9).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100011 (base 2) to base 3.\nAnswer: -1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 91 and 70343.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46240 + 64878. Is c a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 166 - f**4 + 4*f**2 - 6684*f**3 + 42*f - 173 + 6687*f**3 in the form o*f**3 + z*f**2 + v + h*f + x*f**4 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6896784.02999989 - -6896784. Let k = y - -0.03. Round k to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**2 + 16*m - 7. Let a be u(7). Solve -a*p - 16 = -3*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2 = 0, 0 = -2*v + 3*f + 943 - 107. Let q = v - 384. Calculate the remainder when q is divided by 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 60. Let u = h - 47. Suppose i + 140 = c, 0 = -4*c - u*i + 341 + 191. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -957 and 2706878041.37.\nAnswer: 2706877084.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + a**2 - 54. Let s be f(0). Let x = 164 + s. Calculate the highest common factor of x and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1055*n**4 - 5951 wrt n?\nAnswer: -4220*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.117 + -5.333. Let p = i - 1.47. Let r = p + -0.28. Round r to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*22.78\nAnswer: -4.556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 87*f**2 - 44*f**2 - 44*f**2 - 4*f + 1 to the form d*f**2 + y*f + z and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 8:05 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 332 (base 5) to base 15.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*g = -223 + 79. Solve -g*w - 2*p = -10*w - 8, 4*w - 4 = -4*p for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 164.299 - 166.299. Let f = 0.1 + 0. What is the closest to -1 in 1\/4, p, f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x + 6. Let u be g(3). Find z such that 5*z**3 - z**2 + 8*z**5 + z**u - 9*z**4 - 4*z**5 = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -5*y**2 + 14*y**2 - 5*y**2 + 2*y**2 - 4*y**3 - y - 5. Let k(r) = 3*r**3 - 5*r**2 + r + 4. Calculate 6*k(j) + 5*w(j).\nAnswer: -2*j**3 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176*u**3 + 79*u**3 + 86*u**3.\nAnswer: -11*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54216?\nAnswer: 2, 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4877*q - 3385 - 9527 = -3801*q for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2815 (b) 44 (c) -86\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, s: 5, x: 4}. Give prob of picking 1 v and 1 s.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-95)\/(-133)*(6\/5)\/3.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, g: 1, v: 9}. Give prob of picking 1 r, 2 v, and 1 g.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57 and 441921.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/3)\/(x\/x**(-2\/11))*(x**2\/x)\/x*x**(-2)*((x*x**0)\/(x\/x**(3\/5)))**(-35) assuming x is positive.\nAnswer: x**(-787\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kmrtmabr. Give prob of picking 1 m, 1 b, and 1 t.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 213*m**2 + 9273*m - 188. Determine v(152).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4597*a + 1 = -4596*a. Sort 14, a, -29, -2 in increasing order.\nAnswer: -29, -2, a, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1443, -2940, -4441, -5946, -7455, -8968, -10485?\n\"Answer: -2*z**2 - 1491*z + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**2 - 4*m**2 - 12*m**2)*(1 - 10 + 2).\nAnswer: 140*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-8) + (-7408)\/(-64). What is the derivative of -181*o**4 - 31 + 97*o**4 + c*o**4 wrt o?\nAnswer: 128*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -0*o + 10. Let t = -138\/5 - -27. Which is the biggest value? (a) o (b) t (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 927919256?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -26838, -53698, -80592, -107538, -134554?\n\"Answer: -3*c**3 + c**2 - 26842*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1148600 to the power of 1\/3, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 54525 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 - -115\/7. What is the nearest to 0.1 in w, -1\/21, -2?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from rrrrrrrrrrrjrrr?\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -5*t**2 - 8500*t + 25496. Determine y(3).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9844 and 157400638.\nAnswer: 4922","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-850)\/(-200) + 1\/(-4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1251106070 to the power of 1\/5, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.83541917 rounded to two dps?\nAnswer: 0.84","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a milligram in micrograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -3*c - 21. Let n = c - 4. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 7544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 32 = -3*o. Suppose o*p - 71 = 33. Let c = 296 + -195. Calculate the remainder when c is divided by p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 632*o + 9806 = 3981*o + 3348*o - 291559 for o.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - s**2 - 2*s + 2. Let t be v(0). Suppose 5*w = -t*l - 0*l - 15, 5*l - w = 3. Differentiate 8 + l + 2*d + 2*d with respect to d.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 d when four letters picked without replacement from ididiiiiiiii?\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/6, 1.605914, 3?\nAnswer: 1.605914","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*g**2*o + 2*g*o**3 + g*o - 295*o**3 + o wrt g.\nAnswer: 16*g*o + 2*o**3 + o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**4 + 5*j**3 + 0*j**3 - 2*j - 2*j**2 + 0*j - 8*j**3 as o*j**3 + f*j + z*j**4 + c*j**2 + s and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -2, -982.\nAnswer: -982, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2597 + 2308. Sort i, -5, -2 in ascending order.\nAnswer: i, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1696*p + 2993 = -383*p + 41070 for p.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 119*((-47)\/658 - (-225)\/1190)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.03249 to 2 dps.\nAnswer: 12.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, g: 2, w: 4, x: 4}. What is prob of sequence dw?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 1\/3 (b) 0.593 (c) 2\/5 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 4*x - 2, -x - 2 = 2*h - h for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -10 + 24 + 1 + -41?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/44)\/((-9)\/((-46431)\/134))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f**3 - 638*f**2 - 434*f - 2078. Give i(-212).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1590 - -2265. Suppose -2*x - s = -7*x. What is the highest common factor of 54 and x?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26735 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 70*t**2 - 3*t + 7. Let x(q) = 149*q**2 - 6*q + 14. Give 5*u(v) - 2*x(v).\nAnswer: 52*v**2 - 3*v + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1274 + 20?\nAnswer: 1304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 26 + -13 - -5\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -5*t - 1. Suppose 5*l = 4*a + 10, -5*l = -0*a - 2*a. Let m(u) = 5*u + 2. Give l*c(w) - 3*m(w).\nAnswer: -5*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 8) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 434, -0.0751, -23.\nAnswer: -23, -0.0751, 1, 2, 434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*b - 386*b**3 + 365*b**3 - 3*b wrt b?\nAnswer: -126*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(208) + 3 + ((sqrt(208) - 5*(sqrt(208)*-2 + sqrt(208)))**2 - sqrt(208)))*1.\nAnswer: 7489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 2\/9, -1046, 10083?\nAnswer: 10083","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*r - 7 = 0, -2*c = 2*r + 2*r + 8. Let j be ((-1140)\/(-3))\/(c\/(-100)). Round j to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**3 + 284*k**2 - 1075*k - 4303. Calculate g(138).\nAnswer: -301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 12, w: 6}. What is prob of picking 2 m?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -273.742 + -0.258. Let f = k - -273.999999869. What is f rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21680)\/(-656) - 12*3*1\/738?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 - -185. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -57 - 4. Let t = g - -305. What are the prime factors of t?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, 0.2, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 76343?\nAnswer: 229029","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a**2. Let k(p) = -1686*p**2. Determine k(d(u)).\nAnswer: -15174*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -3*k - 438, -g + 3*g - 169 = -5*k. Let p = 187 - g. Is p a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355458136 to the power of 1\/3, to the nearest integer?\nAnswer: 708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 242357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.6 and 24269.\nAnswer: -14561.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3 = -7. Suppose 580 = 8*f + 2*f. Let k = 60 - f. What is the lowest common multiple of k and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 164 and 121032.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2 = 14. Solve -g*z + 5*x - 16 = 0, -3*x = 2*z - z - 18 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-5)*b*b)\/b*b*b**(-1\/9))**(1\/52)\/(((((b*(b*b*b**(-4)\/b*b)\/b)\/b)\/b)\/((b*b**(-6))\/b))\/(b*b*b**(1\/3)*b**2)) assuming b is positive.\nAnswer: b**(1073\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 113*j + 4*j**3 - 115*j - 357*j**6 + 249*j**6 - 242*j**6 + 1446*j**2 - 409*j**6 wrt j.\nAnswer: -91080*j**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -485*s**2 + 47045*s + 5\/3*s**3 + 6. Suppose h(d) = 0. Calculate d.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(-2\/117)\/r*r))\/(r*r**(12\/11)*r))**(1\/29) assuming r is positive.\nAnswer: r**(-2669\/37323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3195 + 3194.9977802. Round b to four decimal places.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t**5\/7 + 13612*t**4 + 2269378969*t**3\/7 - 18162178722*t**2\/7 - 24969839220*t\/7 + 40862543688\/7 = 0. Calculate t.\nAnswer: -47646, -2, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -v**4\/12 + 2*v - 2. Let r(m) be the first derivative of t(m). Let n(c) = 2*c**2. Determine r(n(i)).\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 8 = 3*a + 5, 2*y = -5*a + 11 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 253 + 1057 = 0. Let j(l) = 13*l + 133*l**2 + 11 - i*l**2 - 6*l. Let y(h) = h**2 - 4*h - 6. Calculate 3*j(a) + 5*y(a).\nAnswer: 2*a**2 + a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2*r + 131 = 0, g + 21 = -4*r - 14. Let x = g + 104. What is the remainder when x is divided by 29?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/36728 and -57\/24920.\nAnswer: 114407720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -169330\/3 - -71288056\/1263. Is a bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 297804?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -65 in 0.3, 1.5, 2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2473075 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4667, -18651, -41963, -74609, -116595, -167927, -228611, -298653?\nAnswer: -378059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 279*k = -2*n + 275*k - 2, -2*k = 2*n. Which is the nearest to n? (a) 4 (b) -49 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 743, 5634, 18827, 44474, 86727, 149738, 237659, 354642?\n\"Answer: 692*s**3 - s**2 + 50*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8032030*q + 8018*q**2 - 448282*q**3 + 896569*q**3 - 448285*q**3 - 8040050 = 0. What is q?\nAnswer: -2005, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 4955268 in decreasing order.\nAnswer: 4955268, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4*x = -8*x - 20292, 0 = 2*x - 6. What is the thousands digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l + 0 - 2 = 5*c + 5*l - 16*l + 5*l, -9*c - 4*l - 6 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 2\/9 (b) 67\/5 (c) -4 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 51*l**3 - 274*l**2 + 20*l - 103. Give h(6).\nAnswer: 1169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -14. Suppose 2*v - 2 = l*v. Calculate the remainder when v\/3 + 103\/3 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (44\/(-4))\/11*5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (1 + 5) - (7 - 4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3847671.1 rounded to the nearest 10000?\nAnswer: 3850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qj when two letters picked without replacement from {m: 5, q: 1, j: 3}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -233002 - -3?\nAnswer: -232333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/2*-1*6\/9. Let b = -5 + -68. Let w = b - -364\/5. Which is greater: w or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7282 is divided by 407.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -174498 + 55?\nAnswer: -174443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 10*p + 33 = -13*p, 5*p - 5 = 0 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*p**3 - 37*p**3 - 91*p**3 + 5*p.\nAnswer: -119*p**3 + 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32283 or 32284?\nAnswer: 32283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4658 + 0.\nAnswer: -4658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q = 7*q - i + 38, 3 = q - 3*i. Suppose -q*u + 6085 = 1639. Calculate the greatest common divisor of 26 and u.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 923777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2906 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 9 + (7 + -4 - 6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*j + 8 = 35*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49\/(-390) - 388\/(-3880).\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -38, 2, 4 in descending order.\nAnswer: 4, 3, 2, -2, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3664*l + 51572 + 174112 = 42484 for l.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 2:20 PM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46 (base 9) to base 7.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/((-91)\/35)*11\/((-660)\/(-16)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -i**5\/20 - 25*i**4\/12 + 23*i**3\/6 - 63*i**2\/2 + 36*i. Calculate the remainder when 25 is divided by g(-26).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -6*i + 4. Let s(d) = -7*d + 5. Let l(w) = -4*s(w) + 5*z(w). Let q(c) = -10*c + 0*c - 4*c. Determine l(q(a)).\nAnswer: 28*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + 6*n + 8. Suppose 2 = -3*j + 5*j + 2*c, -4 = 4*c. What is the remainder when (22\/2)\/(1\/j) is divided by h(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 10:40 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h + 15. Let q be v(13). Suppose 3*w = 66*k - 62*k - q, -2*k = -4*w + 4. Solve 0 = y + 3*y - w*c - 30, 0 = 2*y - 5*c - 35 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 36*m**2. Let d be 2*((-158)\/6)\/((-9)\/27). Let g(h) = -d*h**2 + 83*h**2 + 77*h**2. Determine f(g(v)).\nAnswer: 144*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 4*c + 2*c)*(3*c - 4*c - c) + 21*c - 21*c + 56*c**2.\nAnswer: 58*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 576189581.\nAnswer: 11, 79, 663049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2035273440 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5582, 5674, 5768, 5864, 5962, 6062, 6164?\nAnswer: 6268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 + 38. Solve 0 = -2*c - c + z for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0 + (2 + 2 - 5)*(-2 + 4 - 1))*(413*x**4 + 2*x**2 - 5*x**2 - 415*x**4 - 15*x).\nAnswer: 4*x**4 + 6*x**2 + 30*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1239\/2065*14920*1 and 16?\nAnswer: 17904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -460*n**2 + 46*n + 46. Let i(f) = 51*f**2 - 5*f - 5. Determine 46*i(d) + 5*j(d).\nAnswer: 46*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43133 = -481*f - 31*f - 9341 for f.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mucygycuucuucuacu. What is prob of sequence yagc?\nAnswer: 1\/5712","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -31813 divided by -4\nAnswer: 31813\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1606d8 + -13?\nAnswer: -16070b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 - 0. Let w = -185 - -1667\/9. Put 4, w, 3, z in ascending order.\nAnswer: z, w, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -1, -329, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuufdudfdffu. Give prob of picking 3 f.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**3 + 4*x**2 - 17*x - 4. Let c(v) = v**3 - v**2 - v + 1. What is -4*c(q) - g(q)?\nAnswer: -2*q**3 + 21*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 5:37 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*m - 59 = -26, 3*p = -5*m + 52. Let s = -6 + p. Sort -2, -4, s in ascending order.\nAnswer: -4, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 577123, 577080, 576957, 576712, 576303, 575688, 574825, 573672?\nAnswer: 572187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 f when three letters picked without replacement from oueojjjjfeujjjj?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/711 and 1 + -9 + 2 + 9 + 5554\/(-1896).\nAnswer: 2844","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719535960 divided by -83862?\nAnswer: -8580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 1. Let y(r) = 2*r. Let b(a) = -2*p(a) - y(a). Let c(o) be the first derivative of -o**2\/2 - 2197. What is b(w) - 3*c(w)?\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 4*q + 5. Let f be k(4). Suppose 2*z + 0*n - f*n + 3 = 0, 5*n = -5. Which is smaller: z or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41 + 40. Let u(m) = -15*m**3 - m**2. Let j be u(f). Let h(z) = 6*z - 12. Let p be h(j). Calculate the greatest common divisor of 8 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 775982, 1551971, 2327962, 3103955, 3879950?\n\"Answer: x**2 + 775986*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24\/20*20\/(-3). Let m(h) = -2*h - 19. Let n be m(j). Sort -23, -4, 5, n in descending order.\nAnswer: 5, n, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 13*a - 37. What is p(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 143\/429*(0 - 7 - (-182 - -1)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37687 is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 456787\/7 - 65255. Let j = -4 - -7. Which is the closest to u? (a) -1 (b) j (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 885.6835 litres?\nAnswer: 885683.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 <= 440856?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 43 + -2?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/15 - 62*t\/15.\nAnswer: -2*t*(t + 31)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = 3*r - 10*w - 216, -r - 2*w + 72 = 0. What is the hundreds digit of 638 - (-1 + r\/8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 61 - 35. Let d be (-10)\/125 - 43546\/(-100)*-2. Let i = 936 + d. Calculate the greatest common factor of g and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121768*p - 19416*p + 72717*p.\nAnswer: 175069*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 530*l - 112905 = -66*l + 17*l. What is the remainder when 386 is divided by l?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 6448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 7:21 PM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n - 13. Let x be s(9). Let b = -11 - -15. Suppose -x*m - 82 = -3*v, 4*m - 156 + 4 = -b*v. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 divided by -5?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22794 and 1783303.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 14.9. Which is the nearest to 0? (a) 2\/17 (b) o (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**(-2\/5)*y)\/((y\/(y**(-12)*y))\/y))**(-8))**(2\/15))**(1\/17) assuming y is positive.\nAnswer: y**(832\/1275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 366 divide 1998955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**3 - 2*j**2 + 5*j + 5. Let q(b) = 3*b**3 - 3*b**2 + 7*b + 7. Suppose 5*r = -45 + 130. Suppose -r - 18 = -5*m. Give m*t(z) - 5*q(z).\nAnswer: -z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -5*m + 4. Let s(o) = -20*o + 16. Let j(b) = -2*s(b) + 9*x(b). Suppose 4*i = 7*i - 18. Let w(d) = 14*d - 11. Give i*w(c) + 17*j(c).\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-9)*p*p\/((p\/(p*p\/p**(-11\/4)*p))\/p))**(-27) assuming p is positive.\nAnswer: p**(135\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 100972?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, w: 6, i: 1, e: 4}. What is prob of picking 1 i and 1 w?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjjr when four letters picked without replacement from jjjjrjjrrr?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*q**3 - 285*q**3 + 135*q**3 - 430*q**3.\nAnswer: -496*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35146 + 35114 = 2*d + 2*x, 0 = 4*x + 8 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**(1\/19)*u)\/u**(-14)*u**(-16\/5)\/u*u**(2\/39)*u assuming u is positive.\nAnswer: u**(51514\/3705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 9891*n - 9891*n - 29*n**2.\nAnswer: -29*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2537 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 h(b) = -b**2 + 2*b + 12. Let t be h(-6). Let a = 40 + t. Solve p + 0*l + 2*l + 1 = 0, -a*p - 4*l = 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/(-120) - 0)*(1 - (21\/(-2))\/3).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 1120 + 1388. What is the remainder when l is divided by 70?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -208*y**4 - 195.\nAnswer: -832*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -327*j**5\/7 - 4281*j**4\/7 + 1899*j**3\/7 + 31929*j**2\/7 + 28416*j\/7 + 2340\/7 = 0. What is j?\nAnswer: -13, -2, -1, -10\/109, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (564\/752)\/(2*(-15)\/(-8))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16315170 to the nearest one million.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-41 - -50 - (0 + 13)) + -11 + -30\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2035 and 32375.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of -17*b**4\/12 - b**3\/3 - 9*b**2\/2 - 126*b. Let c(v) = 20*v**2 + v + 11. Let o(x) = 6*c(x) + 7*t(x). What is o(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.8 - -6. Let f = h + -0.5. Let g = -0.2 - f. Which is the third smallest value? (a) g (b) -4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -43274.64.\nAnswer: 43274.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1795085 and 87.98.\nAnswer: 1795172.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from xwwxxjjxx.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 624426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1654031524 and 3202?\nAnswer: 3202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 2) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 24 + 146 = -5*z, -5*z - 28095*m = -28094*m + 145 for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w. Suppose -l - s = 5 + 5, -5*l + 3*s - 26 = 0. Let m(u) = -3*u. Give l*m(k) - 6*a(k).\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12181, 12176, 12161, 12130, 12077, 11996, 11881?\nAnswer: 11726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 98 + -94. Let r(b) = b**2 - 4*b - 2. Let s be r(3). Sort j, s, 3 in decreasing order.\nAnswer: j, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 947593862?\nAnswer: 2, 473796931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i**(-1)\/i)\/i)**(10\/7)\/(((i*i\/(i\/i**(1\/2)))\/i)\/(i**(2\/7)\/i*i)) assuming i is positive.\nAnswer: i**(-43\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(-75)*3 - 149\/5. Let z = -28 - v. Calculate the smallest common multiple of z and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1852.\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 8:52 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11100001110000010 (base 2) to base 3.\nAnswer: 12212112222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*y - 33*y + 8*y - 4)*(0 + 5 + 4)*(3*y + 0 + 0) in the form l*y + v*y**2 + z and give l.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 4 (b) -0.05 (c) 2\/7 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 489958 is divided by 3426.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3812412 is divided by 165757.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**5 + 0*w**5 + 2*w**5 + w**5 + w - w + w**5 - w**5 - w**5 + (-w**3 - 3*w**2 + 3*w**2)*(-2*w**2 - 3*w**2 + 3*w**2) - 159*w**5 - 10*w**5 + 27*w**5.\nAnswer: -141*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 0 - 16*u + 0 + 15*u + 17*u. Let p(d) = -16*d. Determine -3*p(o) - 2*v(o).\nAnswer: 16*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 5*k - 1. Let q be t(-5). Suppose 6*o - 3*o = -h + q, 4*o = -5*h + 47. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*27\/72*4\/3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, b: 9}. What is prob of sequence bjjb?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j - n + 11, 0 = 4*j + 96*n - 97*n - 5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 142 - 136 = 0 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3637.9 + 3657.731. Let o = -0.271 + k. Let n = o + -20. Round n to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 6:57 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-90)\/(-91) + 13\/((-169)\/(-2)).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -181 and 5974.\nAnswer: -1081294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2*o**2\/3 - 116182*o\/3 - 77452 = 0?\nAnswer: -58089, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let -5*g**2 - 1615*g + 3250 = 0. Calculate g.\nAnswer: -325, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 980376431?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/12 - (-36)\/16. Suppose 0 = i - 2*i + b. Put i, 4, 0 in descending order.\nAnswer: 4, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z*z\/(z*z*z\/(z*z*(z*z**(-6\/7)\/z)\/z)*z)*z*z)\/(z**(-11)*z) assuming z is positive.\nAnswer: z**(85\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 0 - 2 = -4*p, 4*j = 5*p - 9 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6 - (2090\/20)\/(-19). Is -0.363 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16\/283073, -6\/5, -6.\nAnswer: -6, -6\/5, -16\/283073","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) - (-2*(sqrt(136)*2 - sqrt(136)) - sqrt(136)))\/(sqrt(72)\/(sqrt(9)*2)).\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1314 + -4?\nAnswer: 1310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-three halves of a century?\nAnswer: 2150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38039177 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5884\/17 + -346. Let m = -3135 + 2099. Let s = m - -1028. What is the third smallest value in i, 0, s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 45\/(-100)*1*(-20)\/24. What is the nearest to -2\/5 in 17, h, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 3*m - 1179, -3*i - 373 = -m - 7*i. Does 24 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m*o**3*w**2 + 403867*m*o**2*w**3 - 4*m*o**2 - 2*m*o*w**3 + 4623735*o**3*w**3 wrt o?\nAnswer: 6*m*w**2 + 27742410*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11239.99993751 - 11240. What is t rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8842 = -2815*a + 3348*a - 219 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1189463929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*y**3 + 64*y + 920*y + 22027*y**2 - 126*y**3 - 22027*y**2 wrt y?\nAnswer: -810*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111453626 is divided by 312195.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, m: 8, g: 8}. Give prob of sequence ml.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**2 + 10*d**2 + 4*d - 3*d - 2*d + 2*d.\nAnswer: 7*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -5965*m**4\/24 + 2965*m**3\/6 + 1248*m**2. Differentiate w(q) with respect to q.\nAnswer: -5965","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 830 is divided by 56?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 50*l**2. Let w(i) = 186*i + 192*i + 190*i - 755*i + 188*i. Determine v(w(p)).\nAnswer: 50*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/2 + 5 + -2. Let w = -2.6488 + 0.6488. What is the third biggest value in t, w, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 659691 and 1007.\nAnswer: 12534129","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 16545250 (base 7) to base 5\nAnswer: 403444144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 64.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f*(f\/(f*f**(-1\/3)*f))\/f*f)\/f)\/(f\/(f*f**(2\/7))))\/(f*f**(-1\/3))**(-2\/13))\/(((f**(2\/5)*f*f)\/f)\/(f*f**(-7))*(f\/f**0)**11) assuming f is positive.\nAnswer: f**(-24131\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 490751 and 4807?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 6 + 10 - 15*d**2 - 16*d - 6 - d**3. Let n be u(-14). Let a = -28 + n. Calculate the remainder when 38 is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9\/4, -11\/2, 2\/9, 20, -6.6, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b*b\/(b*b*b*(b\/(b*b*(b\/(b\/b**(-1\/3)))\/b))\/b))\/b*b)**(-4\/29)*b*b*b\/(b*b**(-3\/7)\/b)*b**(1\/22))**(-40) assuming b is positive.\nAnswer: b**(-906260\/6699)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j - 1. Suppose q - 6*u + 3*u - 3 = 0, 0 = 2*q + 3*u - 15. Let s(g) = -1 + g + q*g - 6*g. Determine -6*s(i) + 5*t(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7181 and 79249?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -u**6\/270 + 19*u**4\/54 + 20*u**3\/9 - 2*u**2 + 67. Factor x(a).\nAnswer: -4*(a - 5)*(a + 2)*(a + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.529248 * 0.5.\nAnswer: -1.264624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*p = -114*p - 40 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -528290*0.2\nAnswer: -105658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*u + 49*u - 5120. Let x = -156 + u. Solve 3 = y - x*a, 2*y + 4 = -0*a - 2*a for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q. Let o(u) = -289*u + 16. Determine w(o(f)).\nAnswer: 1156*f - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, 3, -106, -3, -5, -442 in descending order.\nAnswer: 3, -3, -5, -50, -106, -442","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -118*x - 2. Let v(q) = 52*q. What is v(r(b))?\nAnswer: -6136*b - 104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*q**5 - 65*q + 5*q**3 + 491 - 491 wrt q?\nAnswer: -100*q**3 + 30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 362362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 240154*a**3*z**2 + 1041*a**3 + 288*a**2*z**2 + 3152*a**2*z - a**2 wrt z.\nAnswer: 480308*a**3 + 576*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**5 - 90*n**3 + 2*n + 24.\nAnswer: -20*n**3 - 540*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -109a?\nAnswer: -10a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243437 is divided by 256?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 3*b + 15, -4*p - 25 = 614*b - 609*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 7*f**2 + 4*f - 2. List the prime factors of n(7).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 13) in base 12?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 k, and 1 c when three letters picked without replacement from obcdbqqoobk.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 5115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 13*b**2 + 2*b - 28. What is the hundreds digit of s(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 5, -48, 61511 in descending order.\nAnswer: 61511, 5, 4, -5, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37818.\nAnswer: 2, 3, 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21 + 30024?\nAnswer: 30003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30232410 and 611442.\nAnswer: 272091690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.017941611 to 4 dps.\nAnswer: 0.0179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45*b - 39*b + 0*b**3 - 2*b**3)*(4 - 4 - 4*b).\nAnswer: 8*b**4 - 24*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 132293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 2*g**2 - 2*g + 3. Let i = 71 + -75. Calculate m(i).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 22 + (2 - (6 - 2)). Let c be (-8)\/q + (-282)\/(-5). Suppose 4*n + 2*x + 0*x - 38 = 0, 4*n + 5*x - 47 = 0. What is the highest common factor of c and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - 9*a + 4. Let n = -6 - 0. Does 22 divide k(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 1117*u + 94. Let i be o(8). Suppose -19*g - i = -108343. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.95 - 0.05. Let r = -2453.91 + 2454. Which is the third smallest value? (a) r (b) k (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16514 at least -293\/76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 810232 and 208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - 4\/(-12)) + 3. Let w = -0.3 - -0.1. Which is the closest to l? (a) 2\/9 (b) w (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 3*l - 3*l)*(0 + 0 - 1) + 8 - 5 + l - 37.\nAnswer: 5*l - 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(12\/(-6)))\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 3*a**2 - 3*a - 1. Let k be w(3). Let o(u) = -5*u**2. Let d(r) = 3*r**2. Determine k*d(f) - 4*o(f).\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -43755 times 37?\nAnswer: -1618935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21 and 0.07?\nAnswer: -1.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-9))**(2\/23) assuming u is positive.\nAnswer: u**(-18\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1, -268, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 + 17)\/(4*(-10)\/(-580)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/6 (b) -9\/7 (c) -48 (d) -4\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 253 - 1?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 120.1 to 0 dps.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/5 (b) 4\/9 (c) 41\/5 (d) 11\/25 (e) -12 (f) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36235 - 10337 = -2416*u + 3202 - 3870 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - -75)*1\/2. Suppose 2*o + 2*n - 4*n = 28, -2*o = 3*n - g. Let z be ((-119)\/(-14) - 7)*o\/6. Solve 0 = 5*l - 5*f - 10, 2*f = z*l + 3*f - 18 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -280, -1188, -2726, -4894?\nAnswer: -7692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 4*m = -28, 3*p - 315*m = -312*m - 30 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 52800 to the nearest one thousand.\nAnswer: 53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2234541, -2234194, -2233615, -2232804, -2231761, -2230486, -2228979?\nAnswer: -2227240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 2*i, 2*u + 0*u - 4*i = 20. Suppose 4*g + 6 = -3*h, g + 0*g = -h - u. Let x be 1\/(5\/10 + g). Solve y - 6 = -x*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2300\/230*-4*7\/2870.\nAnswer: -4\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -80, -58 in ascending order.\nAnswer: -80, -58, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 116922975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3213, -3198, -3183?\nAnswer: -3168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 95 + -68. Let v = -1 + r. Suppose -12 - 33 = -5*g. What is the remainder when v is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - i + 10 = 0. Let n(p) = 1. Let g(f) = -f + 7. Let h(z) = -g(z) + 6*n(z). Let v be h(i). Solve -11 = v*y - 3 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 118\/9 - 799\/63. Let c = 63.35 + 1.55. Let s = 65 - c. What is the biggest value in u, s, -1\/6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 14*f - 58. Calculate w(-14).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28637\/3 + 8608\/(-3228) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in years?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -5*l + 10, 4*l - 6 = -3*a + 30. Let g be (l\/(-12))\/((-2)\/36) - -3. Let c be 1 + 740\/g + 4\/(-6). What is the greatest common factor of c and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, t: 3, a: 1, z: 1, q: 3, o: 4}. What is prob of sequence to?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2 + 3*p - 15. Suppose 0 = 2*s + 11 + 3. What is the units digit of t(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**2 - 6868*b - 13732 = 0?\nAnswer: -6866, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 324 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.27 - 15.73. Let w = -16.1 - g. What is the closest to -1\/3 in 4\/7, w, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -92988 divided by -41?\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 172*x - 5. Give s(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -6 + (-7 - 0) + 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1454\/3555 - -14\/395. Let m be 2\/6*18\/27. Factor m*z**2 + u*z + 0.\nAnswer: 2*z*(z + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - 10 - -57624) + (-12)\/(-1*2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/4)\/3)\/(22\/(-220))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.047 or -0.1?\nAnswer: -0.047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 49*v**2 + 92*v - 26. Let l(w) = 25*w**2 + 52*w - 14. Determine -7*l(r) + 4*q(r).\nAnswer: 21*r**2 + 4*r - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by 1162.\nAnswer: 11\/1162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -620 - -15612?\nAnswer: 14662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/15499 - -15495\/30998. Factor 867\/2*y + b*y**3 + 4913\/2 + 51\/2*y**2.\nAnswer: (y + 17)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-44))\/(779\/902)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**2. Let x(k) be the second derivative of 0 + 0*k**2 + 11\/6*k**3 + 11*k. Determine p(x(c)).\nAnswer: 242*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-5*sqrt(13) + sqrt(13))*6 - (-4*((sqrt(78) + (5*sqrt(78) - sqrt(78)) - sqrt(78)) + sqrt(78)))\/sqrt(6).\nAnswer: 206*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*1\/(-70) - (46\/(-7) - -6). Factor 0*v + n*v**2 - 3\/5.\nAnswer: 3*(v - 1)*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -46*1\/(-24) + (-7)\/28?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t + 12, -f - 5 + 19 = -3*t for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 78017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 5*m**4 - 9*m**3 - 5*m + 25. Let l(f) = 11*f**4 - 18*f**3 - 11*f + 51. Let v(t) = -2*l(t) + 5*u(t). What is the second derivative of v(a) wrt a?\nAnswer: 36*a**2 - 54*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -151.4 to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -4*v**2 + v. Let n(h) = -3697*h**2 - h + 1787*h**2 + 1914*h**2. Give 4*n(f) + 5*y(f).\nAnswer: -4*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 467312089 is divided by 2171?\nAnswer: 2168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*o, -8*c + 5*o = -4*c + 5. Sort 0.3, -11, 2, c in increasing order.\nAnswer: -11, 0.3, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, 102, 343, 682?\nAnswer: 1119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 5*b**2 - 31*b + 8. Let o be k(6). Suppose -3 = -4*m + 1, -5*w - 4*m + 19 = 0. Solve o*h + 14 = w*i, 2 = -5*i + 2*h + 24 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -406560 divided by 1848\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.10625*-220.\nAnswer: 23.375","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 399 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*n + 0*n + 3*n)*(-1 + 1 - 3*n)*(3*n + 2*n + n) - 2*n**3 - 2*n**3 + 2*n**3 to the form z + t*n + o*n**2 + c*n**3 and give c.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/(-7) - (71 + 38423\/(-539)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -109, -201, -295, -391?\n\"Answer: -c**2 - 89*c - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1941 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -32.7 (b) -0.2 (c) 1\/2 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(-18)\/4*-46. Let g = t + -201. Solve -g*y - 18 = -6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 5 + 8 = 3*t, 0 = -4*i - 4*t + 4. Let y be -1 + (-2)\/(-2) + 2. Suppose i*x - 4*z = y, 0 = -3*x + 3*z - 1 + 4. Is x > -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 3. Suppose -z*r + r = -6. Suppose 6*h - 6 = 5*h - 2*p, 0 = 3*h + 2*p - 14. Which is smaller: h or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 l when two letters picked without replacement from {l: 4, q: 3, p: 1}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**3 - 33*a**2 + 15*a + 18. Let x be z(16). Let h(m) be the first derivative of 3*m - 1\/3*m**3 + 1 + 1\/2*m**x. Give h(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 838648 plus -0.0142?\nAnswer: 838647.9858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -199\/149300910 and -193\/832920.\nAnswer: 597203640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3154*a**2 - 1808*a**2 - 1711*a**2 + 8 to the form j + p*a**2 + o*a and give p.\nAnswer: -365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 + -0.1. Let v = -18.3 - -18. Which is the third smallest value? (a) f (b) -3\/2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 3189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -273251, -546522, -819791, -1093058, -1366323, -1639586, -1912847?\nAnswer: -2186106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 631004, 2.\nAnswer: 1, 2, 631004","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 17*a**2 - 2*a - 29. Let k be w(-17). Suppose -237 = -k*m + 183. List the prime factors of m.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1547 - 1547 + 35*v - 1 + 1 - v + (-7*v + 2*v + 3*v)*(-1 - 4 + 4) in the form q*v + u and give q.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4018979 at most 0.82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 + 32. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*l - 7, 0 = -2*k + 5*l - 16. Let t(n) = 2*n**3 - n**3 - n**k + 0*n**3 - n. Let f be t(-1). Which is bigger: f or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.3 - 0.6. Let z = m - -2.9. Suppose 7*j - 3*j + 4 = 0. Which is the nearest to z? (a) j (b) 3 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o**2 - 107*o + 107*o.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44731575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kzt when three letters picked without replacement from tpzkh?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 4 - -13 - (7 - 2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 225 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: Find the second derivative of 134*r**3*x - r**3 + 2*r**2*x - 24*r*x - 6 wrt r.\nAnswer: 804*r*x - 6*r + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210 is divided by 35.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 6. Let g(i) = 3*i - 3*i - 2 - 7 + m*i. What are the prime factors of g(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52165495 and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -b + 514, 0*k - 1020 = -2*k - b. What are the prime factors of k?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -57\/5, 4\/5, -9\/47?\nAnswer: -9\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-604 - 588 - 1150 + 179 - 60)*(2*b**3 + 0*b**3 - 4*b**3)*(-11*b**2 + 9*b**2 + 9*b**2).\nAnswer: 31122*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(sqrt(576) - ((sqrt(576) - 1*sqrt(576)) + sqrt(576)) - sqrt(576)) - ((sqrt(76) + -2*sqrt(76) + sqrt(76))\/sqrt(4) + sqrt(76)\/sqrt(4) + 3).\nAnswer: -9*sqrt(19)\/8 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 b when two letters picked without replacement from hhaabhhhbafrabd.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32661 + 32679. Calculate the remainder when r is divided by 12 - 3\/(6\/4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 20 = -v + 1, m = -v - 4. Solve -2*g + 3*n = -v, -g + 0*g - 5 = 4*n for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(208)*1 + 3 + (sqrt(260)\/(-1*sqrt(5)))\/sqrt(4))**2.\nAnswer: 18*sqrt(13) + 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.2, -2, -0.8 in ascending order.\nAnswer: -3, -2, -0.8, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/30*3\/(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-10)*5)\/(2\/4). Let d be ((-5)\/(5\/f))\/(1\/(-5)). Which is the nearest to 0.2? (a) -0.4 (b) d (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/10)*y)\/y*y*(((y\/y**(2\/15))\/y)\/y)\/y*(y**(3\/10)\/y)**(1\/44) assuming y is positive.\nAnswer: y**(-1649\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*h + 3 = -13*h - r, -2*h - r = -3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 71, 145, 259, 419?\nAnswer: 631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(3\/13)*z*z*((z\/((z**(-1)\/z)\/z))\/z*z)\/z*z)\/(z\/z**2)**(-34))**(11\/5) assuming z is positive.\nAnswer: z**(-3828\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43588.\nAnswer: 2, 17, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 222 and 293010.\nAnswer: 10841370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of t**5*w**2 - 38634*t**3*w**2 + 18*t*w + 6060*w**2 wrt t?\nAnswer: 20*t**3*w**2 - 231804*t*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b + 5. Let k be u(0). Let x(o) = -3*o**3 - 10*o**2 + 2*o - 10. Let j(c) = 4*c**3 + 11*c**2 - c + 11. Let v(r) = k*x(r) + 4*j(r). Calculate v(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 13*o**2 - 33*o + 4. Calculate f(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 - -0.0674.\nAnswer: -0.6326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5233, -3704, -1155, 2414, 7003?\nAnswer: 12612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three fifths of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(((f**(9\/2)\/f)\/f)\/f))\/f**(4\/3))\/(f**(-3)\/((f*f*(f*f*f*(f\/(f**(5\/2)\/f))\/f)\/f)\/f)) assuming f is positive.\nAnswer: f**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 17\/68 - (-38)\/8. Put -5, 0, o, -4 in increasing order.\nAnswer: -5, -4, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cw when two letters picked without replacement from {c: 2, g: 8, w: 1, m: 4}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -250*a - 138. Let l = -11 + 5. List the prime factors of g(l).\nAnswer: 2, 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 28*l**2 + 15*l. Let z(x) = -85*x**2 - 45*x. Let m(s) = 17*i(s) + 6*z(s). Find the second derivative of m(y) wrt y.\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -219*b**2*j + 49*b**2 + 10603*b*j - 1747*b - 4*j**2 - 119 wrt j?\nAnswer: -219*b**2 + 10603*b - 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a century?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -69440*n - 555378. Determine m(-8).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 913546 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of 19*o**9\/7560 - o**6\/40 + o**4\/3 + 3*o. Let u(a) be the third derivative of v(a). Find the second derivative of u(z) wrt z.\nAnswer: 456*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 5*d**2. Let l(m) = 4*m**2. Let w(c) = 3*c**3 - 7*c**2 + 2*c - 3. Let a be w(2). Give a*t(k) + 4*l(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 527197 is divided by 837?\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 3 (c) 0.189 (d) -161 (e) 4.89\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 14*d**2 - 11*d - 18. What is x(13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 18*h**3 - 9*h**2 + 4*h - 2. Let y(d) = -17*d**3 + 6*d**2 - d + 2. Give -4*x(n) - 6*y(n).\nAnswer: 30*n**3 - 10*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21611.\nAnswer: 21611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 107035329 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16809015 - 27?\nAnswer: -26.83190985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 38*t + 25. Calculate r(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 2*l - 166, -s + 78 = 6*l - l. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 1 - 5*y + 7*y - 1. Let z(i) = 14*i + 3. Let x(f) = -366*f - 77 - 4*f + 7*f. Let m(n) = 3*x(n) + 77*z(n). What is j(m(b))?\nAnswer: -22*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 157 - 13. Is 8 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.8794 - 0.0206. What is the fourth smallest value in -6, 0.3, w, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28176*d - 3855*d + 32030*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -i**4\/6 + 35*i**3\/3 - 4579*i**2. Let m(x) = 2*x - 35. Give -3*f(g) - 5*m(g).\nAnswer: 2*g - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -a**7\/1260 - a**4\/2 + a. Let l(g) be the third derivative of i(g). Let c(d) = 1 + 12*d - 17*d - 1. Determine l(c(t)).\nAnswer: -50*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 6, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i - 2535 = 7*i - 2388 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 0.4 (b) 10.28 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -1\/3 (c) 78 (d) 5 (e) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 716806579?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence izi when three letters picked without replacement from aijiizaii.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 983 - -707. What are the prime factors of c?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 7 + 7*b + 2*b**3 + b**2 - 6*b + 4*b**4 to c*b**3 + v*b**4 + g*b**2 + j + u*b and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1422 + -1103?\nAnswer: -2525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j**2 - 104*j**2 - 52*j**2 in the form k + s*j**2 + d*j and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 982, 1684, 3586, 7288, 13390, 22492, 35194, 52096?\nAnswer: 73798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 16) in base 14?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) 11\/10 (c) -1\/3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -4*i**4 - 8388*i**3 - 4418280*i**2 - 21832112*i + 26258784 = 0?\nAnswer: -1046, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u - 18*u - 8 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-2\/19)*z*z\/(z\/z**1))\/(z\/(z\/(z**(-2\/9)*z)))**12 assuming z is positive.\nAnswer: z**(-367\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of 4*g**3\/3 + 2*g - 38. Let q(p) = -p**3 - 5*p**2 - 2. Determine -2*q(d) - 3*z(d).\nAnswer: 2*d**3 - 2*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 8, c: 2}. Give prob of picking 3 b.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 48579.7ug in kilograms?\nAnswer: 0.0000485797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -81 + 105\/(-735)*77\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + g = 0, -2*p + g = 3*p - 5. Sort 5, -225, 4, p, -5 in descending order.\nAnswer: 5, 4, p, -5, -225","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 767 (b) 4 (c) -630 (d) 3\/37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11539 + 0.081?\nAnswer: -11538.919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**3 + k**2 + 13*k + 6. Calculate g(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 144 = -143. Let s be j + 7\/5 - (-14)\/15. Put 0.2, s, 2, -2\/3 in ascending order.\nAnswer: -2\/3, 0.2, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h**2 - 5*h**2 + 5*h**2 - 5*h**2.\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c - 28*c - 24*c.\nAnswer: -44*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5017913 (base 12) to base 14.\nAnswer: -1db7539","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 5*f**3 + 69615*f**2 - 44098550*f = 0.\nAnswer: -14530, 0, 607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 950 and 190?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8649184 != 8649183?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d**2 + 2 - 2)*(4*d - 4*d + 2*d**2) + 40*d - 26*d**4 - 17*d - 24*d to the form n*d**4 + j*d**3 + z*d**2 + p + a*d and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5 = y - 2*y, 7 = -3*a + 4*y. Suppose -4 = 5*o + a*m, 3*o + 6 = 2*o + 2*m. Let p = o + 18. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -346*b**3 - 6*b**2 - 10*b - 3. Let h be v(-4). Let z(k) = k + h - 22085. Let u(c) = c. What is z(u(f))?\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9103?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100110101 (base 2) in base 10?\nAnswer: 1333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 0 = 6*c. Let t(a) = -5*a + 14. Let d(z) = -z + 1. Let s(f) = c*t(f) - 4*d(f). Determine s(13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 5*q + 4 = 0. Let x be 28\/(-8)*7360\/1610. What is the third biggest value in -1\/8, q, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-35)\/6 - ((-12)\/3 - -1). Do z and -2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -9 - (10 - (-1 + 3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 14 + 4. What is the greatest common divisor of 42 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d\/d**1)*d)\/d)\/d**(3\/4))\/((d*d**(-2))\/(d*d**(-7)*d))*(d**1*d)**(-7)*d**3*d*d**(2\/25) assuming d is positive.\nAnswer: d**(-1367\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -19, -47, -121, -241?\n\"Answer: -23*o**2 + 41*o - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 368316 and 936.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2011*q + 698*q - 773*q + 1637*q.\nAnswer: 3573*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 68.8 - 69. Let m be (-5)\/(-10) + (-1)\/(-2). Let r be (-4)\/(-22) + m\/(-66). Which is the third biggest value? (a) r (b) 1\/3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m + 6. Let f(q) = 13*q - 25. Calculate 2*f(k) + 9*u(k).\nAnswer: -k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 - -59. Suppose o*q = 24*q - 9. Suppose -5*m = -4*b - 58, -q*b - 33 = -2*m - 7. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 1564\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -9.75*29575\nAnswer: -288356.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of 11*z**6\/120 + 5*z**4\/8 - z**2\/2 + 7*z. Let u(q) be the first derivative of w(q). Find the second derivative of u(f) wrt f.\nAnswer: 66*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 769 = -10*w + 709 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 12:18 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -p**4\/4 + 5*p**3 + 2*p + 9. Let d be y(15). Suppose d*t = -7*t. Solve 3*u - 3 = -t*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/15)\/(3\/30). Suppose -4*y + 17 = -x, x - 19 = -t*y + 4*x. Which is the third smallest value? (a) y (b) 0.3 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 468044 is divided by 109?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 140049*q**3 + 110672*q?\nAnswer: 840294*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.98 + -4. Let x = 0.08 - q. Let n = 327 + -328. What is the closest to x in -0.3, n, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, q: 1, h: 3, a: 1, i: 1}. What is prob of sequence aqu?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -20911?\nAnswer: 20914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6928b (base 14) in base 13?\nAnswer: 8c50a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = w - 4. Suppose 16*p - 99 = 5*p. Let m = p - w. Sort m, -4, 4 in ascending order.\nAnswer: -4, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-13))\/(27\/117).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w + 5. Let s be g(0). Suppose 2*u + 1 = 5*t, -t + s*t - 3*u = -2. Let v = 18 + t. What is the remainder when v is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-2\/11))\/q**7*q**(-34)*q**41 assuming q is positive.\nAnswer: q**(13\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 810 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 c when three letters picked without replacement from cywccwgwwygyg?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4 = -5*j, -8 = -3*l - 4*j + 9. Suppose l*s = -p + 97, -p + 3*p - 154 = 4*s. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(1\/3)*i))**(-2\/49))**(-12)*((i*i**(-7)\/i)\/i)\/(i\/(i**(1\/5)*i))*(i\/(i\/i**(-1\/2)))**(-2\/45) assuming i is positive.\nAnswer: i**(-3502\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -385*u + 388*u + 9, -5*t = -u + 13 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**3)\/n*n**3)\/((n\/n**(-5)*n*n*n)\/n**(1\/8)) assuming n is positive.\nAnswer: n**(-23\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 4*p**2 + 3*p + 6. Let k be t(-4). Let n be 5\/(k\/(-2) + -4). Let j = n + 9. Calculate the greatest common factor of j and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -16 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -785*b**4\/6 + b**3\/6 - 26*b**2 + 1192*b. Find the second derivative of y(f) wrt f.\nAnswer: -3140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 804.423 centimeters to nanometers.\nAnswer: 8044230000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 5*x - 305. What is the greatest common factor of x and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vzgvjiijvgzvigv. Give prob of picking 1 v, 1 j, 1 g, and 1 z.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, n: 15}. What is prob of sequence knn?\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.589 + -1.989. Let h be 44\/(-40) - (-3)\/5. Which is the nearest to h? (a) 2\/5 (b) s (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 11)*((3 - 4 + 2)*(3 - 3 - 2*m) + 3*m - 3*m - 2*m - 1 + 2*m + 1).\nAnswer: -22*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 97*f**3 + f + 86*f**3 + 3*f**4 + 90*f**3 + 3*f**2 - 263*f**3 + 0*f as l*f + y*f**2 + w*f**4 + d*f**3 + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -17*r**2 + 289*r - 4. Let c(x) = x**2 + 4*x. What is 19*c(z) + t(z)?\nAnswer: 2*z**2 + 365*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4868818?\nAnswer: 2, 97, 25097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1274192 - 734053. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42.38 + 40.38. Which is the nearest to -7? (a) 3\/8 (b) -0.5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o + 0*o - o - 2. Suppose h + 5*w - 2 = 1, 2*w - 6 = 2*h. Let i be 2*(-1)\/h*2. Calculate c(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -6*v**3 + 211335*v**2 - 422652*v**2 + 7*v**3 - 172 + 211336*v**2 - 50*v. Calculate k(-21).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 1056.\nAnswer: -4, -2, 1056","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 2100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29094535?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 19, 9149 in descending order.\nAnswer: 9149, 19, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f = f + 150. What is the least common multiple of f and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3174 is divided by 701?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - -2)\/((-7)\/(-11 - 3)). Solve n = -4*q - 0*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.2 - -0.7. Let u = 15.9 + -15. Let s = -0.1 - u. What is the closest to s in c, -2\/9, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1962 + 1960. Let n(f) = -22*f**3 + 7*f**2 - 7*f + 7. Let y(b) = -7*b**3 + 2*b**2 - 2*b + 2. Let m = -14 - -21. What is m*y(g) + o*n(g)?\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, v: 7}. What is prob of picking 2 v and 1 l?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**3 - 3*d**2 + d + 1. Let f(o) = 4*o**3 + 6*o**2 - o - 2. Give -3*f(r) - 5*w(r).\nAnswer: -2*r**3 - 3*r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 11*p**2 + 13. Let g be w(-11). Solve -38 = -g*y + 14 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/((z*(z\/(z\/z**(1\/2)))\/z*z*z)\/z)*z**(-10\/11) assuming z is positive.\nAnswer: z**(-31\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.941395 days in microseconds?\nAnswer: 513336528000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4) - 77\/70.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from {n: 5, m: 12, q: 2}?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1347 - -34?\nAnswer: 1403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 134\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ew when two letters picked without replacement from {e: 5, w: 11}.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uxxbbxxbxuxbux. What is prob of sequence xbxx?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43 - -38) + (10 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27675287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((-40)\/(-62)) - 3\/(-15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 2*s = -1068960. Let n be s\/255*1250*5. Round n to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16390888?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*g - 1067 = -0*p, 0 = -5*p - 3*g + 5374. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 0 - 30 = 2*b, -4*b = -p. Let c = -259\/22 + p. Let z be 7\/(-14) - (-1)\/2. Is c less than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6221785 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6475 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 4686237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 24*m + 2. Let w(n) = 707*n**2 + 1. Determine a(w(l)).\nAnswer: 16968*l**2 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -195.1 + 195. Which is the biggest value? (a) -0.3 (b) -4 (c) o (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 141 = -3*t, 3*a - 7*t = -2*t + 145. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7371 is divided by 1491?\nAnswer: 1407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9500 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u + 4*b + 14, -5*b = -592*u + 595*u - 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 428*c**2 - 829*c**2 + 3 + 381*c**2 - 3.\nAnswer: -20*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 53400 and 53460 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163*d + 127*d + 169*d + 167*d - 725*d + 176*d.\nAnswer: 77*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-6) - (-21)\/9. Suppose 0 + o = -w. Let j(h) = -h**2 + 2*h + 1. Calculate j(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/(-28))\/(53\/(-1113))*3\/(-5)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d - 3. Let q be b(-2). Let p = q - -3. Suppose -p*k = -4 - 4. Does 4 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 17249 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: Suppose -6*p - 63 = -27*p. Let u be 3 + 6 + p*(-3 - -4). Solve u*t - 15*t = 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 8:04 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 6*i - 8. Let w(h) = -h + 1. Let p = -2 - -17. Suppose -k - 10 = -3*l, -5*k + l + p = -l. Let g = k - 7. What is g*v(y) - 14*w(y)?\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1096607 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -132, -260, -388?\nAnswer: -516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + 14. Let a = -25.45 + u. Round a to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 730*r = -467249 + 570909 for r.\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 - -28. Let t(k) be the first derivative of 0*k**2 + 2 - 1\/2*k**4 + 0*k**l + k. Differentiate t(r) wrt r.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(-5 - -4) + (-62)\/(-62). Suppose 5*z - 8 = 12. Solve k = -v + z for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*q - 486260 = 13745487. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y = -12*y - 19*y + 28. Suppose 1\/6*m**y + 1\/3 + 1\/2*m = 0. Calculate m.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -74\/8123 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*w + 4*s - 7, 0 = 3*w - 4*s - 5. Solve -3*a + 4 = -a, -10 = b - w*a for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -7*r + 1. Let y be m(1). Let q = 40\/13 - -827\/234. What is the common denominator of q and 3\/y*59\/(-11)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jbxxbjabjjjxwaxxjtxt. Give prob of sequence aj.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j + 4. Let x be q(4). Suppose x = 6*s - s + 215. Let l = 79 + s. Calculate the greatest common divisor of 4 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/12 and 98\/(-552) - 14\/(-21).\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 2*q = 5*i + 6, -3*i = 2*q + 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) -8 (c) -0.04 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 - 21?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t**3 - 19*t**2 - 5*t - 25. Let v(m) = m**3 - 2*m**2 - m. Let j(r) = -g(r) + 2*v(r). Is j(15) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 317537 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 110017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0483 rounded to three decimal places?\nAnswer: -0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, 1.389, -10?\nAnswer: 1.389","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 526326318?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -720*r - 116 - 10078 + 240 = 18846 for r.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 208 and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -439104 and -87.\nAnswer: 38202048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -162, -218, -274, -330, -386, -442?\nAnswer: -498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 + -18. Let w(o) = -3*o + 1. Let r be w(k). Does -6 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -195\/8, -0.2, 1, 3\/16, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2431 divided by 13?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -53 - -46 - 38.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 951.\nAnswer: 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppu when three letters picked without replacement from nrvuqnpquvuvuvp?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-0.0664\nAnswer: 0.02656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2762647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 150*h + 58*h + 416. What is the fourth smallest value in -4, h, -7, -5, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.4, 1534, -1\/9 in ascending order.\nAnswer: -1\/9, 0.4, 2, 1534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.016 - 2.081\nAnswer: -2.097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**2 + 4*o - 34. Let q be n(7). Let s be 28\/210 + q\/(-15). Is 6 a factor of 2\/s + 211\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45581 and 16087694?\nAnswer: 2399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -181\/43848 and -33\/1064?\nAnswer: 833112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -7 (b) 0 (c) -0.2 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -226958.\nAnswer: -3\/226958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1173)\/(-234) - (-374)\/2431)*12*1\/(-2).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than 15.6113?\nAnswer: 15.4113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10*l*s**2 - 51*l - 45*s**3 + 8 wrt s?\nAnswer: -20*l*s - 135*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 1212170*c - 2. Let u(d) = 20*d**2. Give m(u(b)).\nAnswer: 24243400*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-174)*(-3 - 0). Let w = i + 105\/551. Let d = -19\/108 - 2\/27. What is the biggest value in d, -0.5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 153 - 151.69. Let x = -1.8 + i. Let k = -0.19 - x. Which is the second biggest value? (a) k (b) -3\/5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 - a**2 - 16 + 16.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2. Let s = -4 - -9. Let h(d) be the first derivative of d**3 + 3. Let m(u) = -u**2. Let f(k) = s*m(k) + 2*h(k). Determine g(f(q)).\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 12. Let l be 1\/c + 21\/6. Let d(g) = -g + l - 15 + 13. Give d(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x. Let h(j) = 4*j + 1. Let q(z) = 2*h(z) + 10*r(z). Let w(m) = m - 3. Let u be w(6). Let c(g) = 0 + 1 - 11*g + 5*g + 4*g. Calculate u*q(o) - 4*c(o).\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p. Let n(c) = 13*c**2 + 7*c + 2. Let o be (9 - 8)\/(4\/44). Let z(m) = 65*m**2 + 36*m + 11. Let f(x) = o*n(x) - 2*z(x). Calculate f(h(g)).\nAnswer: 52*g**2 + 10*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5\/8, -0.2, -6, 0.1 in descending order.\nAnswer: 3, 5\/8, 0.1, -0.2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 23222, 46449, 69678, 92909, 116142, 139377, 162614?\n\"Answer: a**2 + 23224*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 570938383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2214 + 5432. What is the hundreds digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -90739, -90741, -90743, -90745?\n\"Answer: -2*f - 90737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/4 + (-33)\/4. Let g(x) = -5*x + 1. Let h(w) = -26*w + 5. Let o(m) = 22*g(m) - 4*h(m). Let v be o(c). What is the highest common divisor of 5 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2526, 10405, 23630, 42201, 66118, 95381, 129990?\n\"Answer: 2673*y**2 - 140*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 6 = 3*w - 4*x, -5*w - x + 19 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a kilogram in grams?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 616 = 104*i - 27*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 10\/9 of a day?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 15*x + 3. What is the remainder when k(16) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304) - (-2 + sqrt(304)))*-5 + (6*sqrt(76)*-1)\/sqrt(4))**2.\nAnswer: 120*sqrt(19) + 784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**4\/12 + 3752*z**3 + 2045509*z**2\/6 + 7919610*z + 30329775\/4 = 0.\nAnswer: -44933, -45, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.9 + 0.1. Let g = -963 - -965. Which is the nearest to w? (a) -4 (b) -2\/3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*1\/9*-3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/42)\/((s**(-8\/11)*s)\/s))\/(s**(-2\/113)\/(s*s**(2\/189))) assuming s is positive.\nAnswer: s**(836041\/469854)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1048\/2751*2\/((-8)\/(-6))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3464.305 minutes to microseconds.\nAnswer: 207858300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 6. Suppose 0 = k*m + 2*q - 22, -2*m - 3*q = -4*m + 27. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -2. Let t = -20.7 - -21. What is the nearest to 1 in -1\/4, t, s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) -2\/15 (c) 1\/11 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -158*j + 43*j + 58*j + 9*j as s*j + d and give s.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.188 + -0.332. Round h to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/4 and 86 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20669 - 8828. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -10) + 10 + -16 + -36 - 0\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-3) + (-187)\/(-33). Suppose 2*b + 3*b - 2*r - 158 = 0, l*r - 133 = -4*b. Suppose -y - 2*w = 2*w - b, 3*w + 111 = 3*y. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2054 and 158.\nAnswer: 2054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/10 + (-2)\/(-5). Suppose 0 = 2*z - 8, 0 = -3*w - w - 2*z + 24. Suppose k - 3*t = 0, k - 11 = -4*k + w*t. Sort k, s, -2 in increasing order.\nAnswer: -2, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -172, 1, -1, -8, 4, 2, -2982 in decreasing order.\nAnswer: 4, 2, 1, -1, -8, -172, -2982","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 143 = -363. What is the nearest to -1 in -0.1, -3\/2, 7\/2, v?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53840 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 + 33. Sort a, -4, -5 in descending order.\nAnswer: a, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 14*r**2 - 32*r + 30. What is d(16)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 51*d**2 - 79*d**2 + 12 + 20*d - 4.\nAnswer: -4*(d - 1)*(7*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3659?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a day in minutes?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2915360 by 959.\nAnswer: -3040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 4*s**3 + 5*s**2 - 9*s - 10. Let v(p) = p**3 - p**2 - 1. Let n(x) = -i(x) + 3*v(x). Let j(r) = 43*r - 3922. Let l be j(91). What is n(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6*(-14)\/21*1. Solve -m - b*m = -m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y**3 + 7094*y**2\/3 + 160606*y\/3 = 0 for y.\nAnswer: -131\/6, 0, 613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 26905 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 4. Let n = c - -0.1. Let k = n + 0.4. What is the second biggest value in 4, k, 0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*w + 17 - 35 + 18.\nAnswer: 26*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -7bd640 (base 14) in base 2?\nAnswer: -10000000111010011111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5*n + 148 = 0, -5*z = -n - 358 + 15. Let h = -266489\/2 + 133313. Is z at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2425, -5017, -7955, -11413, -15565?\n\"Answer: -29*q**3 + q**2 - 2392*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0.09, -0.2, -4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6938 + -172.0238. Let k = 1322.23 + x. Let c = 1200 - k. Round c to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*l**5 + 7*l**5 + 6*l**2 + 5*l**5 + (-l**4 + 4*l**4 - 2*l**4)*(-2*l + 3*l - 2*l).\nAnswer: -3*l**5 + 6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 - -44. Let f be (-1000)\/(-1200) - (-10)\/(-12). Solve f = -4*k + l - 7 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-3*(2 + -5 + sqrt(448) + (-3*sqrt(448) - sqrt(448))) + -2.\nAnswer: 7 + 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v + 0*v - 9*v**2 + v**2 - 5*v**2 + 2*v**2 + (-2*v + 5*v - 2*v)*(-1 + 1 - 2*v) + 0*v - 3*v**2 + 0*v + (-v**2 - v**2 + 0*v**2)*(4 - 4 + 1).\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a043 (base 15) to base 2.\nAnswer: -100000111110010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -8. Solve -2 = 2*w + f - 6*f, -2*f - 16 = -h*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22\/15 - 9\/5. Let f = 433\/7 - 62. What is the second biggest value in -0.2, f, z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1050 (base 10) to base 9.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256*q - 246*q - 143950 = 0. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3702.\nAnswer: 2, 3, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 0.0934.\nAnswer: -0.467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 10:51 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 789, 1, -3, -6, 5 in descending order.\nAnswer: 789, 5, 1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 9) to base 5\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 z, and 1 n when three letters picked without replacement from znzthltnx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 + 24*n + 23.\nAnswer: (n + 1)*(n + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of l**4\/6 + 2*l**2. Let d(s) be the first derivative of s**3 + 6. Calculate d(r(y)).\nAnswer: 48*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - h**2 - 4*h**2. Let o(y) = 64*y - 129*y + 66*y. What is f(o(m))?\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 25 divided by 289376\nAnswer: 25\/289376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*d - 369 - 288. Let j = 64 - d. What is the tens digit of (4 + -6 + (-21)\/j)*357?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*a, 2*b - a - 5 - 51 = 0. Let f(m) = m + 5. Let r be f(4). Suppose 0 = z - 5, -3*h - r = 3*z - 54. What is the remainder when b is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7425.009um to nanometers.\nAnswer: 7425009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sfbd when four letters picked without replacement from {i: 1, b: 1, f: 3, s: 11, d: 2}.\nAnswer: 11\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 + 0.324. Round q to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6*3\/(-54)*-3. Let f(j) = -5*j + 2. Let g be f(q). Let k(m) = m**3 + 4*m**2 - 3. What is the units digit of k(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d = 239 - 218 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = c - 611, -c + 85 + 70 = l. Suppose -l = -3*b - b. Suppose p - 77 = -2*f + b, -5*f = -3*p - 260. Is f 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 d and 1 j when two letters picked without replacement from dydjdjdjgdyd?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 3733758500 to the nearest 1000000.\nAnswer: 3734000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 421740\/9372*6\/(-20)*2.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 4, -4\/7, -1013\/12?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 115 - 115 + 55*a**2. Let p(n) = -n**2. What is p(y(z))?\nAnswer: -3025*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p + 3*p - 6*p)*(1 + 3 + 2)*(0*p - 33 - 3*p + 32) to the form k*p + q + a*p**2 and give a.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 101583500 a multiple of 578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 132103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -4*x**2 - 339*x. Let m(g) = 3*g. Give m(h(a)).\nAnswer: -12*a**2 - 1017*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190165 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - k + 3. Let g be l(-4). Let c be (-20)\/(-6) - 6\/g. Solve -5*y = b - y - 20, -c*y = -20 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10219\/208575 - -1\/2575. Which is smaller: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*d + 5*t - 52, 0 = -d - t + 22. Let z(q) = -q**3 - 6*q**2 + q + 1. Let x be z(-6). Let w = x + d. What are the prime factors of w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**5 + 15*y**4 + 42*y**3 + 6*y**2 - 39*y - 21.\nAnswer: -3*(y - 7)*(y - 1)*(y + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 392 and 12600.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 21*a**2 + 20*a**2 + 2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -5 - -7) + -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + (-3 - -2))\/(-1). Let n be x + (-4)\/8*2. Let d be -2 + n - (-1 + 3 + -3). Let p(b) = 6*b. Calculate p(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -7, -1, 57, -2\/11, 5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (1 + -8 + -5 - 24)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 103 or 1130\/11?\nAnswer: 103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3239, 3237, 3233, 3227, 3219?\n\"Answer: -l**2 + l + 3239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4. Let y(v) = v - 3. Let m(c) = 3848*c - 23091. Let g be m(6). Let s = 2 + 2. Calculate g*l(t) + s*y(t).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48a (base 11) to base 16.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 251 = 5*b - 3*c, 2*c - 249 = -5*b + 4*c. Let r be b*1 - (0 - 2 - -1). Suppose r = 8*q + 2. Solve 5*m = 21 - q for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 9*k**2 - 8*k - 6. Let b be i(7). Let h(w) = w**2 - 7. Let r be h(5). Calculate the greatest common divisor of r and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + j - 2 = i, -26 = -2*i - 4*j. Suppose 0 = -4*p + i*p. Let 0*x + 0 - 6\/5*x**5 + 2\/5*x**4 + 4\/5*x**3 + p*x**2 = 0. What is x?\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1817 - -1812. Sort y, 2, -4, 5 in ascending order.\nAnswer: y, -4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 + 0.4. Let y = 7.8 - 8. What is the second biggest value in a, y, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77 and 440.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 235\/1353 - -1\/123. What is the nearest to 7 in 3\/5, 1\/4, d?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 349 = -28*y - 74*y - 467 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -5*f, 6 = 5*z + 3*f - 1 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 2*h**3\/7 - 302*h**2\/7 + 748*h\/7 + 2960 = 0?\nAnswer: -7, 10, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13709 - 1510.90053.\nAnswer: -15219.90053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -56*w + 2684. Calculate i(48).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 5*f**3 - 42*f**2 - 11*f + 2612. Let x(m) = -4*m**3 + 41*m**2 + 10*m - 2615. Let h(u) = -2*r(u) - 3*x(u). Differentiate h(b) wrt b.\nAnswer: 6*b**2 - 78*b - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -6*h**4 + 7*h**3 - 5*h**2 - 2*h + 6. Let m(s) = -2 + 3*s**4 - 3 + 5*s**3 - 11*s**3 + 4*s**2 + 2*s + 2*s**4. Let c(u) = -4*i(u) - 5*m(u). Factor c(b).\nAnswer: -(b - 1)**3*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5698*g + 13620*g**2 + 10687 + 5698*g wrt g.\nAnswer: 27240*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 48 (b) -0.1 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 3, 17, 49, 105?\nAnswer: 191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30907851?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -144, -211, -292, -393, -520, -679?\nAnswer: -876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of z**5\/30 - 5*z**4\/4 + 44*z**3\/3 - 7*z**2 - 4*z. Determine v so that h(v) = 0.\nAnswer: 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3586 (base 9) to base 16\nAnswer: -a6e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.49, -1, 1\/3 in descending order.\nAnswer: 1.49, 1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -5811*n + 3001. Determine c(2).\nAnswer: -8621","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (3 + sqrt(11) + 0))**2 - sqrt(891)*-1.\nAnswer: 9 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*q**5 + 76351*q**3 - 11849*q**2 + 2.\nAnswer: 120*q**2 + 458106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*y - 17 - 375. Suppose y*c - 37*c - 336 = 0. Let r be 58\/18 - (-4)\/(-18). Solve 5*s + c = r*h, h - 14 = 2*h + 3*s for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3954 is divided by 44.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-38 + 46 + (1 - 4) + 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3497691, -6995365, -10493039?\nAnswer: -13990713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of 25\/84*f**4 + 1\/294*f**7 - 3\/70*f**6 + 1\/28*f**5 - 8\/7*f**2 - 1\/7*f**3 - 28 - 3*f. Find j, given that n(j) = 0.\nAnswer: -1, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 115 + -90. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 9*j**2 + 2*j - 1. Let u be b(9). What is the highest common divisor of u and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + l = 48. Suppose l = -k + 5*k. Solve -2*g + k = -6*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 8*c + 6. Suppose -3*x = -4*p + 40, -3*x = -p + 7 + 12. Let n be s(p). Let l be n + ((-23)\/2)\/((-10)\/(-60)). Is -70 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1346*o - 63608 - 15234 - 20762 = 0 for o.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11759644 to the nearest integer?\nAnswer: 3429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 604 is divided by 542.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*z - 12 = -71*z. Suppose -2*k + 24 = 4. Suppose 3*w = -3*a + 15, a - 4*w + k = 3*a. Solve 10 = a*f - 4*p, 2*p + p = -2*f + z for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of 5*v**4 - 3*v**3 + 13307*v**2\/2 - 608*v - 4. What is the first derivative of m(f) wrt f?\nAnswer: 120*f - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/4 and 49\/129?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 + -112?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - -16) + -1 + -2. Suppose -4*l + v = -50. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - -9)*1\/(-2) - -223. Solve -212*b + 20 = -s*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lcsssclc. Give prob of sequence lscl.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 308 and 37114.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9147 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-2\/3))\/i**(-2\/7))**(-24)*i**(-4)\/(i**5*i)*i**(-1\/7)*i\/(i\/(i\/(i**5\/i))) assuming i is positive.\nAnswer: i**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n + 12. Let i be w(6). Suppose -6 = -3*l - i*l. Suppose 2*x = l*m - 30, 2*m - 54 = -x - 3*x. List the prime factors of m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -68+-3321.5832\nAnswer: -3389.5832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 1017*s + 1. Let y(b) = -680*b. Calculate y(u(x)).\nAnswer: -691560*x - 680","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*10\/45 + 16\/(-45)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 2*i + 7. Let l(y) be the first derivative of -y**3\/3 - 9*y**2\/2 - 10*y - 8. What is the lowest common multiple of l(i) and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172 is divided by (6 - (-40)\/(-6))\/((-2)\/21).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2963640 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 8*z = -170. Suppose -z + 89 = -5*b. Let j(m) = m**2 + 10*m + 9. Give j(b).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5*21\/35 - (-1 - 6). Solve g - 6*g = 15, 0 = -s*x + 2*g - 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 759?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4767\/17 - 561\/2. Let s(u) = u**2 - 8*u - 10. Let k be s(9). Which is smaller: k or d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**2 - 28*w + 27. What is i(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**2 - 4*l + 2. Let j be c(2). Find the third derivative of -h**6 - 2*h**2 + h**j + 3*h**6 + 0*h**6 wrt h.\nAnswer: 240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - b**2 - 5*b + 9. Let h be s(2). Solve -12 = 4*o - h*w, 5*w = o + 3*w + 8 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4*t**2 - 5*t + 1. Let i be c(6). Suppose 19*w - 151 = i. Is 15 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39*u + 34*u - 50 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 541?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15676\/11 + 1423. Calculate the common denominator of q and (-30914)\/1740 - (-2)\/(-5).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -13*t**2 + 5*t - 5. Let n(v) = -90*v**2 + 36*v - 36. Determine -5*n(a) + 36*q(a).\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a - 1. Let s = 8 + -4. Suppose -z - 4*z = -s*g + 160, 3*z - g = -89. Let b be z\/(-8) + 1\/(-2). What is o(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -328*h**2 + h**3 - 203 - 546 - 242 + 328*h**2 - 907*h wrt h.\nAnswer: 3*h**2 - 907","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65\/39*(-3)\/1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103711.\nAnswer: 37, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4440445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 230149916*a**2. Let u(f) = -2*f**2. What is u(w(g))?\nAnswer: -105937967669614112*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -14, -5, 18, 61, 130, 231, 370?\n\"Answer: o**3 + o**2 - o - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v = 9*v - 20, 2*z - 4777 = 5*v. Is 8 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11374 + 21945. Is 205 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26673?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**3 + 104*b + 5*b**4 - 216*b + 2*b**2 + 108*b + 51*b in the form u*b**4 + j + s*b**3 + q*b**2 + x*b and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + 22 - (27 + -66)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 320\/40*6 + (-4*1)\/(-2) is divided by 35?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -45*x**2 + 8*x - 20. Determine b(3).\nAnswer: -401","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 12*o**2 - 5*o + 18. Let m be n(-12). Let f = m + -77. Let l be (-3)\/3 + 4 + f + -1. Solve -5*p - 2*j = 15, -p - l*p - 5*j = 29 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12052000 rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 735 - 741.93. What is p rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven quarters of a kilogram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of c**4\/4 - 11*c**3\/3 - 11*c**2\/2 - 12*c + 9. Let l be o(12). Solve 4*v + 6 = -3*r, -3*r - r - 2*v + 2 = l for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 730*w + 193 + 13843 = -9840 - 1674 for w.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -655595.\nAnswer: -131119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 37, 0.4, 0.5?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 2*g - 26, 0 = -4*k - 8*g + 3*g + 41. What is the second derivative of 418*s**k + s - 3*s + 0 - 365*s**4 - 3 wrt s?\nAnswer: 636*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.5 - 8. Let f = -38\/145 - 4\/29. Which is the smallest value? (a) x (b) f (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 234 - 154. What is the common denominator of 82\/r*2 + 1 and (-87)\/8 + (-12)\/(-16)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -4*b**3 - 19*b**2 - 162*b + 10. Determine l(-6).\nAnswer: 1162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 383 + -383. Suppose -18*c - 9*c + 648 = w. Solve 6*i + c = -6 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*r, k - r + 20 = 5*k. Let c be k\/(-10) - 92\/(-230). Solve c = 5*m - 0 + 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1*sqrt(28)*2 + (sqrt(112) - (sqrt(112) - (sqrt(112) - (-1 + sqrt(112))))) + sqrt(112) + -4 + -2 + sqrt(7))*-4)**2.\nAnswer: -5760*sqrt(7) + 37888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/1)\/(1\/3). Suppose -279 = -i*r - 2*r + 2*g, -5*r = -3*g - 276. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-4 - -6)\/2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9287712 and 6528?\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 1)*(-28*u - 8*u + 13*u)*(-518*u + 295*u**2 - 521*u + 1041*u).\nAnswer: 6785*u**3 + 46*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -119a30 (base 11) to base 4\nAnswer: -232013302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u - 13740 = 9*u. Let k = u - -725. What is the highest common divisor of 38 and k?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 15 - 5 = 0. Suppose -b*r + r + 3 = 0. Is r\/(2 - 129\/65) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**1\/w)**47*(w**(-2)*w)**46 assuming w is positive.\nAnswer: w**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*o**5 + 53*o**4 - 265*o**3 + 76*o**2 + 36*o = 0. Calculate o.\nAnswer: -2, -1\/4, 0, 18\/25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -138*i**5 - 3*i**4 - 2*i**3 - i + 6809 wrt i?\nAnswer: -2760*i**3 - 36*i**2 - 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*f + 12 = 4*f, -5*f = -i + 3. Let v(z) = -3*z + 2*z + 4*z - 4*z + 5. What is v(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) 31 (c) 4 (d) 231 (e) 4.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*r**3 + 17*r**3 + 127*r + r**4 + 22 - 3171*r**2 + 28 + 3276*r**2 = 0. Calculate r.\nAnswer: -25, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 78*i**2 + 665*i + 5951. Let t be u(-85). Let y(b) = -7*b**2 + b - 5. Let a be y(-5). Let s be (1 - (-368)\/a) + 1. Which is bigger: t or s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 r, 1 n, and 1 j when four letters picked without replacement from {r: 3, j: 2, n: 4, m: 1, y: 1}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of 0 + q**2 + 2*q + 1\/6*q**3. What is the units digit of g(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of 3*q**5\/20 - 11*q**2. Let a(r) = 2*r. Determine p(a(t)).\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*o - 2*o + 5*o as l*o + u and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 a when three letters picked without replacement from iaiiiiiaaiiiii.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-3))\/(10\/(-2)*(-200)\/1500)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 6, 2*p - 3*i - i = 28. Let q be 165\/(-60) - 2\/8 - -4. Calculate the greatest common factor of q and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 65 = -5*x, -4*x + 175 = 4*t + x. Calculate the highest common divisor of 5 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 397, 3252, 6179, 9214, 12393?\nAnswer: 15752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 49?\nAnswer: -4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/18 and 94\/2295.\nAnswer: 4590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 5*f = 48. Suppose -5*s = -4*q + 63 + f, -110 = -5*q + 4*s. Suppose 8*t + 40 - 75 = -35. Put q, 5, 2, t in descending order.\nAnswer: q, 5, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*j**3 + 2 + 3 + 49*j**3 - 134*j**3 - 5.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 1668*x + 708. Let u be w(6). What is u rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2022\/13 or -155?\nAnswer: -155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -29\/218?\nAnswer: -29\/218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -38 (b) 0 (c) -4\/5 (d) -21\/221 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5216 = 2*g - 18*g. Let j = g - 325. Calculate the highest common factor of j and 27.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 4)*(1 + 2 - 1)*(-28 - 4 + 0)*(4 - 2 - 4)*(i - 7*i + 7*i).\nAnswer: 256*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 4 - -6) + (79 - 77)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**2 + 57*k - 1023. Let q be r(-41). Let f = -7 + 3. Which is the second biggest value? (a) 7 (b) f (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1078? (a) -0.2 (b) 0.5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (14\/(-4))\/(3\/(-6)). Calculate the least common multiple of 36 and (28\/h)\/(2\/3).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/9 - 33860*c**3\/9 + 284176612*c**2\/9 + 4605501760*c + 166503170304.\nAnswer: (c - 17002)**2*(c + 72)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1397, -2770, -4143, -5516, -6889?\n\"Answer: -1373*m - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68091798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 17*p + 20. Let u be z(18). Suppose -508 = -3*v - u*x, -3*v = 3*x - 0*x - 504. Is 4 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 51*o + 969. Give h(-23).\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 3*p + 8*p + 12 = 9*p + p, 4*q = p + 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 738646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 475 a factor of 4876331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1053023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45 - 40. Solve -8 = -5*r - 2*t, -4*r = -3*t + 7 + k for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 6:19 AM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7691652 a multiple of 222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 76*3102\/2508 + -22\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, -1\/2, -4, -166, -0.23?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 9\/(-3) - (-580)\/(-52) - -6.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10984750 is divided by 185.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(720)*2 + (sqrt(720) - sqrt(720)*-4*-1))**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 5. Let f be 27\/21 - 2\/7. Let v be f + -2 - (0 - 1). Solve m = z + 4 - v for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 976 by -42.\nAnswer: -488\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1099974335?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 3*u + i + 12, 3*i = -2*u + 4. Suppose u = h - 9. Let b = h - 8. What is the highest common divisor of 6 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1072707 - -3.0494?\nAnswer: -1072703.9506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 457036 is divided by 1598?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 14161604\nAnswer: -42484812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/6*48\/(-64).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 7*v + 738, -1731 - 145 = -5*p + 2*v. Is p even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2606 (b) 365\/4 (c) 0.4 (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -67 + 65. Let a be (5\/v)\/(-1)*(-24)\/(-30). Suppose -f + a*f = 2*c - 4, 5*c = -f + 10. Solve 2*b + c*m = 4, -3*b + 0 + 4 = m for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 215?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2910423?\nAnswer: 3, 677, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -13698 <= -13698?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2\/3, 5, 0.9, -71\/3, 2 in descending order.\nAnswer: 5, 4, 2, 0.9, 2\/3, -71\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 2.1. Let o = r - -2. Let p = 418 + -415. Which is the closest to p? (a) -2\/7 (b) -5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -54, -64, -90, -138, -214, -324?\n\"Answer: -s**3 - 2*s**2 + 3*s - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -6*m**2. Let i be (6 - (0 + 1)) + -1. Let z(n) = -16*n + 13*n + i*n. Give d(z(p)).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2400*b**3*u + 15889*b**3 - 2*b*u with respect to u.\nAnswer: -2400*b**3 - 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (189\/(-9))\/7*(-8)\/6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 8\/3, -1\/2, -0.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1582, -3261, -4940, -6619?\n\"Answer: -1679*v + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3 + 34601*z**2 + 299324600*z + 299290000.\nAnswer: (z + 1)*(z + 17300)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*m = -128*m - 2940. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from {o: 3, x: 8}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/34 and 95\/132994.\nAnswer: 2260898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2\/2 + 585*v + 3456.\nAnswer: 3*(v + 6)*(v + 384)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -89, 267 in increasing order.\nAnswer: -89, -12, 267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 38545457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22664110?\nAnswer: 2, 5, 7, 199, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36.4 - -36. Which is the second biggest value? (a) m (b) 10 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2091, -2002, -2119, -2544, -3379, -4726?\nAnswer: -6687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-5))\/(1\/(-10)). Suppose -g + 4*j = -20, 2*g - 3*j = -0*j + 20. Suppose 0 = g*h - a. What is the remainder when 2 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -4. Suppose -d*p + 78 = -p. Is 4 + 0 - (-1989)\/p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/(1*sqrt(10)*-3).\nAnswer: -sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-912)\/2691 + 2\/3. Let f = s - 4\/23. Which is smaller: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 8*m - 14. Let k be w(2). Solve -d = k*b - 6, -b + 2 = 4*d + 13 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45081 + 2*r**3 + 22542 + 22539.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**2 - 18232502*j - 6077501 = 0. Calculate j.\nAnswer: -1\/3, 6077501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 1, 0, 21 in descending order.\nAnswer: 21, 1, 2\/9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1606642 a multiple of 659?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51 (base 7) to base 10.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in 1, 3, -437331?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 3780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 50*y**2 + 12*y - 779. What are the prime factors of c(-49)?\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oororro. Give prob of picking 2 r and 2 o.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17258?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0 (b) 5\/3 (c) -2 (d) 0.125 (e) -1\/4 (f) -4 (g) -905\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 3 + 53 + -2 + -10 + 19 + -12?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b + 0*b + 3 - 2)*(-2 + 5 - 4) + (0 + 5 - 4)*(-b + b - b) in the form r + t*b and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*((n\/n**15)\/n)\/n*n))\/n**(-8))**(-41) assuming n is positive.\nAnswer: n**(-943)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12.7 - -63.6. Let k = c + -81. Let u = k + 5. What is the biggest value in u, 1, 1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i*i**(-3\/7)*i**(1\/61)*i**0\/(((i*i**31)\/i)\/i))**(-16) assuming i is positive.\nAnswer: i**(187280\/427)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-6 + 3))\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 3. Let l(f) = -2*f**3 - 4*f**2 + f - 1. Let h(r) = r**3 + 3*r**2 - r + 1. Let s(i) = k*h(i) + 2*l(i). Calculate s(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4162)\/63330 - (136\/(-15) - -9). Is 0 at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 6*k**2 - 8*k - 5. Let t be o(-7). Suppose t*g + 23 - 113 = 0. Let n be 3\/6 - g\/(-2). Solve -3 + 18 = -5*r, r = 4*u - n for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -36348509 and -15209.\nAnswer: -36363718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/30 and -53\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 58512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.1 and 785.48?\nAnswer: 786.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 4160 to the nearest 100.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65 + 6*c + 65)*(3*c**2 - 2*c**2 + 0*c**2) - 2*c**3 - 173*c + 31 - 31 + 3*c**3 + 0*c**3.\nAnswer: 7*c**3 - 173*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03206 to 3 dps.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-52)\/14 - (-7 - -5). Which is smaller: v or -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 102, -164, 8, -37 in increasing order.\nAnswer: -164, -37, 2, 8, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -261 greater than -146?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 817*f = -5*t + 818*f + 2, -3*f + 13 = 4*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 5, -3*b - l + 6*l - 131 = 0. Let c = -50 - b. Calculate the remainder when 50 is divided by 104\/(-6)*12\/c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (-6 - (0 + -16))) + 86 + (-23 - -26)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 47788204 to the power of 1\/3, to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + ((-2)\/(-3))\/(20\/90). Suppose -k*x + 16 - 4 = 0. Suppose 4*m - m - 556 = 4*o, -5*o = x*m - 601. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008096 to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117)*-3 + sqrt(117))*5)\/(6*sqrt(54)\/sqrt(6)).\nAnswer: -5*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -9898*l - 2. Let v(r) = 14850*r + 3. What is -8*b(y) - 5*v(y)?\nAnswer: 4934*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46132*q**3 - 20*q**2 + 20*q**2 + 46133*q**3 + 46130*q**3 - 138377*q**3.\nAnswer: 18*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p + 11*p + 760 = -2*g, -757 = -2*p - g. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17059 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 358 + -342.9. Let h = -0.1 + u. Let y = h - 14.983. Round y to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-6)*(-42)\/(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) -3 (c) 2 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16507215*b**4 - 7*b**3*l - 9*b**2*l - 2*b**2 + 10901*b*l + b - 7*l + 2 wrt b?\nAnswer: 396173160*b - 42*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -420 divided by -140\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50 - -27. Let t = s - -38. Calculate the greatest common factor of t and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.51 - 2199.73?\nAnswer: -2201.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -459 = -o - t, o + 8*t - 450 = 4*t. Let g = 1849\/4 - o. Factor 0 - 1\/4*n + g*n**2.\nAnswer: n*(n - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.3293 or 2\/7?\nAnswer: -2.3293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.096 - 0.096. Sort -1, j, -2, -4 in decreasing order.\nAnswer: j, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(-8)\/(-6)*1*9. Let m be 93\/12 - c\/(-48). Solve u - 5*u = -m for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 10 = 2*c + 2*b, -5*b = 5*c - 5. Let h(m) = 11*m**2 + 5*m - 2. What are the prime factors of h(c)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*j - 2*j - 2223 = 30*j - 19*j for j.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -72.\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 12 (c) -2 (d) -15\/283 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f**2. Let u(x) = 4*x. Let m(t) = 8*t. Suppose -5*q = -2*s - q - 12, 0 = s + q. Let b(c) = s*m(c) + 5*u(c). Give n(b(o)).\nAnswer: 48*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 172 and 43.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -5*b + 123783, -2*b - 8*x + 49507 = -3*x. Suppose -3*m = b + 444. What is m rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1384 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -4. Let b be (-10)\/15 - (-34)\/6. Is ((-30)\/u)\/(b\/10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of 7*w**6\/120 + w**5\/30 + w**3 + 93*w**2 + 5. Let l(q) = -14*q**3 - 4*q**2 - 11. Determine 3*l(y) + 5*t(y).\nAnswer: -7*y**3 - 2*y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - v + 214 = 0, 2*v = -11*m + 12*m + 50. Let y be (-1)\/((-11)\/46) + m\/231. Solve 4*h = y*t - 3*t + 12, -t - 6 = -h for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/72 and 5\/56.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1499, -1502, -1505?\nAnswer: -1508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10077 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k + 2. Let p be a(3). Let c = -89212\/37 - -2411. Let u = -18\/407 - c. Is p at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -11*t - 7. Let v(h) = 21*h + 13. Let q(w) = -5*s(w) - 2*v(w). Let o(r) = -6*r - 4. Let f be 6*(11\/3 - 3). Calculate f*q(l) + 9*o(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 - -32*10676\/(-6528)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - ((5 - -22) + -16 + (-1 - 1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q**2 - q**3 - q - 2 - 6*q**2 - q**2 + 6*q**2 as z*q**3 + v*q + l*q**2 + t and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 z when three letters picked without replacement from zlhzhhhshhhhhhzhzzs.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2107801?\nAnswer: 1009, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 5:06 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 10:11 PM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 183, -5, 25, -9, -7 in decreasing order.\nAnswer: 183, 25, 3, -5, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 268440523.\nAnswer: 13, 17, 1214663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -171, -298, -423, -546?\n\"Answer: k**2 - 130*k - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12862 or -51443\/4?\nAnswer: -12862","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 15, 9, 11, -0.31, 5, 4?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59 - -12. Let k = -11 - w. Solve -4*y = 4*s + 32, 0 = 4*s + 4*y + y + k for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, -158, -342, -528, -716, -906?\nAnswer: -1098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4432069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3702, 6771, 9194, 10971, 12102?\n\"Answer: -323*i**2 + 4038*i - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = a - 3 - 6, 4*a = -2*t + 14 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 10*n + 64. Let z be i(-5). Is 85\/6 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -106 divided by 22593\nAnswer: -106\/22593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*a**3 + 24*a**2 - 5*a**2 - 9*a**2 - 33*a**2 + 23*a**2.\nAnswer: 10*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1514149 divided by 6?\nAnswer: -1514149\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1*(3\/(-6))\/((-10)\/(-4))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + -1 + 5 + -4.\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 6*x + x = 42, 0 = -3*y + 4*x + 42. Let o(g) = g**3 + 23*g**2 + 3. Let v be o(-23). Which is the closest to y? (a) v (b) 2\/3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-16) + 0)*4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p - 3. Let n be f(-6). Suppose -j - 259 = -295. Suppose -4*s = -5*x + j, 0*x - 3*x + 24 = -3*s. Solve x*t + 6 = -2*m, -n*m - 3 = m + 5*t for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115912 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: Evaluate 23 + 370\/80*-16.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.841 times 62995.5\nAnswer: -52979.2155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 10*z - 26. Let h be n(12). Let k(i) = 1201*i - 9. Let b be k(h). Let s = -24091\/10 - b. Calculate the common denominator of 29\/7 and s.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 minus -0.464?\nAnswer: -11.536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 1)*(-2)\/(-4)*-2. Suppose 4*j - l*j = 12. Suppose 84*c + 10 = 82*c. Put 1, j, 3, c in descending order.\nAnswer: j, 3, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t**2 - 4*t. Let o(w) = -25*w + 15. Let j(g) = 52*g - 25. Let x(q) = -3*j(q) - 5*o(q). What is x(z(r))?\nAnswer: -93*r**2 + 124*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 130.17 rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8696 or -8491?\nAnswer: -8696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 94*k + 1130. Let d be f(-12). Solve -10 = -2*h + 2*p - 20, d*p - 8 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 14*s + 2. Let m be g(14). Suppose -8 = -3*t - m. Suppose t*x + 0*x = 80. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 6*q = -6. Suppose 0 = -4*l - x + 17, q*l + 3*x - 30 = -3*l. Solve -l*z + 3 = -3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 + 340\/11. Let q = 13\/22 + v. Which is the nearest to 0.1? (a) -0.5 (b) q (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -5*j + 5, 3*g = -0*g - 2*j + 35. Suppose g = -5*l, -u + 3*l = 4*u - 1194. List the prime factors of u.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 4*a - 11 = 0, 0 = -3*d + 11*d + 3*a - 43 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -2312.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(27)*-1.\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -5*y**3 - 4*y**2 + 4*y + 4. Let z(j) = j + 1. Let b(l) = -i(l) + 4*z(l). Find the third derivative of b(c) wrt c.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -375 - -920. What are the prime factors of w?\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1496, 2325, 3152, 3977, 4800, 5621, 6440?\nAnswer: 7257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iq when two letters picked without replacement from iqfkrkttq.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1031 + 6338. What are the prime factors of g?\nAnswer: 7369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o - v = 12*o + 31, -4*v = -11*o - 65 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (121033\/1584432)\/(11\/3)?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2207250 to the nearest integer?\nAnswer: 1486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12208125 a multiple of 425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -o**4\/12 + 7*o**3\/6 - o**2\/2 + o. Let r be -15*(5 - (-11)\/(132\/(-64))). Calculate a(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g - 8*g - 200 = 0. Suppose -19*h = -14*h + g. Let d be (-187213)\/52 + (-2)\/h. Round d to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 14*o - 10 = 0, -4*w - 9*o = -4*o - 27 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1434 divided by 1.\nAnswer: -1434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14636 is divided by 386?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 10, -57, 56?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 308097\/4 + -77024. Factor -c**2 + 5\/4*c - z.\nAnswer: -(c - 1)*(4*c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/72 and 101\/256560120?\nAnswer: 256560120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159*y = 161*y - 8. Let k(z) = -z**2 - 4*z + 15. Let r be k(-5). Let t = r - 5. Solve -t*f = -5*o + o - 20, -y*f = 2*o - 16 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 4 + 1)*(0*w - 2*w + 0*w + (4*w - w - 2*w)*(-8 - 1 + 0)) as z*w + u and give z.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 243.737 less than -1.1?\nAnswer: -244.837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*j**4 - 82928970*j**2*s + 3*j*s - 45999130*j wrt j?\nAnswer: -96*j**2 - 165857940*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of 0 + 1\/6*p**3 + 0*p**2 + 4*p. Determine s(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 0.0626.\nAnswer: -0.0313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*s - 38*s + 298802 = 0. Is s a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 53280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - 15*x + 10. Suppose 4*u + 19 = 3*k - 21, 60 = 4*k - 2*u. Let j be o(k). Let w = j - 24. Calculate the highest common divisor of w and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + -1*5 - ((-126 - -15) + -27). Is q <= 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33925030.\nAnswer: 2, 5, 17, 199559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -17*d**3 - d**2 + 2*d + 3. Is m(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yoo when three letters picked without replacement from {y: 1, j: 2, u: 1, i: 3, o: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 10*a + 8. What is the tens digit of p(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7643 + 7643.58. Which is the closest to 11? (a) 4 (b) 2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/82386 and 133\/17910.\nAnswer: 411930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 57578111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of 0 + 0*v**3 + 1\/24*v**4 - 31*v**2 + 3\/10*v**5 + 0*v. What is i(1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 33*r**3 + r**2 - 1. Let d be z(1). Suppose -5*f = d - 608. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 13)\/(-4)*85. Let t be (-228)\/95*4\/((-8)\/85). What is the greatest common factor of t and g?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11580*k**2*z + 21*k**2 - k + 843567*z wrt k.\nAnswer: -23160*k*z + 42*k - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 2. Let j be 1 - 1*(-2)\/y. Suppose -f + 7 - 2 = j. Solve -p = f*k + 9, p - 16 + 5 = 5*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7744729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 445 and 29043815.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 22 - 5*z + 40.\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of t**3 - t**2\/2 + 4*t + 7. Let c(r) = r**2 + r - 1. Let s(f) = 4*c(f) - g(f). What is the tens digit of s(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of 0*v**3 + 1\/240*v**5 + 0*v + 0 + 1\/48*v**4 - 8*v**2. Factor p(b).\nAnswer: b*(b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(19)*-5*-3 - sqrt(19)) + (-1*sqrt(19))**2*-5 + -4.\nAnswer: -99 + 70*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of 0*l**3 + 0 + 0*l**5 + l**2 - 1\/14*l**4 + 1\/280*l**6 + 0*l. Find p, given that q(p) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 582 divide 421950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 1186, 11, 153 in ascending order.\nAnswer: -2, 4, 11, 153, 1186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**4 + 680*j**3 + 33572*j**2 + 379456*j.\nAnswer: 4*j*(j + 16)*(j + 77)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -2, 21, 2 in increasing order.\nAnswer: -6, -2, 2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28752934766 - 12349385482011153\/429500. Let v = -9\/8590 + q. Let t = v - 15097\/4500. Find the common denominator of -95\/22 and t.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.09 - 0.25. Let z = h + -16.66. Let w = -17.2 - z. Put w, 2, 1\/7 in decreasing order.\nAnswer: 2, 1\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - n + 6. Let v be t(0). Let g = v - 13. Let o = g + 26. Is 7 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 423 and 8601.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -45?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ziiaac. What is prob of sequence za?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 162 and 426?\nAnswer: 11502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(10\/8 - (-44)\/(-1232)*63).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*i**4 + 1448*i**3 + 6*i**2 + 298747*i wrt i.\nAnswer: -36*i**2 + 8688*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 0) + -62 + 62.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -473000.25 rounded to the nearest 1000?\nAnswer: -473000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**3 + 7449 - 1602 + 3*m**3.\nAnswer: -m**3 + 5847","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((2 + 3 + sqrt(13))*6 + (1*sqrt(130)*-1)\/sqrt(10) + 5)**2.\nAnswer: 350*sqrt(13) + 1552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 - 16175532*o - 21803986290252.\nAnswer: -3*(o + 2695922)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -157, -158, -161, -166, -173, -182?\nAnswer: -193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.042852 and -7.\nAnswer: 0.299964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - w**2. Suppose 0*q + 3*q - 4*x = -12, -3*q = 2*x - 6. Let n(y) = y**3 + q*y**3 + 4*y**2 - 4*y - 9*y**2 + 8*y**2. Let b be n(-4). What is v(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85666.9 nanograms in grams?\nAnswer: 0.0000856669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, j: 2, r: 1, i: 3, f: 3}. Give prob of picking 2 i.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ozzozozooo. What is prob of sequence ozoz?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.086 + -351.\nAnswer: -343.914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 165666284 to the power of 1\/2, to the nearest integer?\nAnswer: 12871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 7:58 AM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -125*a**3 - 92*a**3 + 0*a**2 + 38*a**3 - a**2 + 4*a**2 as f*a**3 + n + d*a + v*a**2 and give f.\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, h: 1, u: 1, q: 5, t: 1}. What is prob of sequence qt?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7989345 to the power of 1\/2, to the nearest integer?\nAnswer: 2827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1406671?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 34140434 (base 5) to base 15\nAnswer: 5e9e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/(-3) - (-6 + 1). Suppose -5*p - 4*g + 18 = -t*p, -g - 1 = -2*p. Let i(a) = 5*a + p + 2 + a**2 - 2. Calculate i(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i - 2*i - 33 = 5*z, -3*z = 15 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55 and 374.\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 4:18 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 3 - 7. Calculate the lowest common multiple of 1 - (o*(-3 + -8) - 3) and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47\/7 - 230\/77. Calculate the common denominator of -35\/4 and d.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13 or -10372651\/14?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7021.752 years in centuries?\nAnswer: 70.21752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2, -t + 6 = -3*z - 1. Suppose -t*i + 0*x - 3*x + 2252 = 0, 4*i - 2*x = 2272. Does 39 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b - 7*b + 3*b)*(-2*b + 6*b - b)*(-18*b**2 + 18*b**2 - 2*b**3) - b**5 + 0*b**5 + 0*b**5.\nAnswer: 41*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 91 (b) 518 (c) 97\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1.1 (b) -4 (c) -1 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4643\/114 + 245\/6. Let k be (-19)\/(-798)*(15\/60 - 26\/(-8)). Which is the fourth smallest value? (a) -2\/17 (b) f (c) -5 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5*r + 44 = 0, -4*p + r + 33 = 5. Let y = 1 - -3. Let o = p - y. Is 1 smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -9*q**5 - 15*q**4 + 30*q**3 + 60*q**2 + 24*q = 0.\nAnswer: -2, -1, -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r**3 + 6*r**3 - r**3 - 5*r**3 + 3*r**3 + 0*r**3 + (-r + 7*r**2 + r)*(-r + 2 - 2) in the form i + n*r**2 + f*r + a*r**3 and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 113106 and 2198.\nAnswer: 17757642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of g**3\/3 + g**2\/2 - g + 1. Let w = -6 - -7. Give t(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4968590 and 1020?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 20453868.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -5*h**2 + 12*h + 6. Let o(w) = -5*w**2 + 10*w + 5. Let l(p) = 6*o(p) - 5*s(p). Let v(j) = 58*j. Calculate v(l(g)).\nAnswer: -290*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -36248, -72511, -108776, -145043?\n\"Answer: -u**2 - 36260*u + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*b + 183 = -q, 2*q + 378 = b. Round q to the nearest 10.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 3:19 AM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20862 and 206074.\nAnswer: 113134626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 71389492*q**5 - 428024350*q wrt q?\nAnswer: 1427789840*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t + t + 3*t to the form y + n*t and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**2 + 19*t - 2. Determine q(8).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 71*h**5 - 35*h - 59*h**5 + 7*h wrt h.\nAnswer: 240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19685484 divided by 1092.\nAnswer: -18027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -535, -2139, -4813, -8557, -13371, -19255, -26209?\n\"Answer: -535*i**2 + i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 15) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 100252.2767 to the nearest 10.\nAnswer: 100250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1629851800 to the nearest integer?\nAnswer: 40371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 16 = -r - 0, 22 = -2*r + 5*c. Let a be ((-4)\/r)\/(2\/(-3)). What is the biggest value in 1\/4, a, -3\/10?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1300452 - 213?\nAnswer: -1301105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1021108146, 1021108148, 1021108150, 1021108152, 1021108154, 1021108156?\nAnswer: 1021108158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*c**3 + 2)*(-1439*c + 23713 - 23713).\nAnswer: -2878*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38511\/2177 + -52\/311. Is u smaller than -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15581001 - 6?\nAnswer: 15580995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2 - 1284092*t + 2568176.\nAnswer: 2*(t - 642044)*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 12 = -2*c, c + 5*n - 5 = 22. Suppose -c*t + 0*t = 0. Is t >= -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3972301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d + 43 + 464 = 0. Let i be d\/234 - 7\/(-6). Solve i = -m - 0*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/7)*l**(-3))\/((l**(-4\/5)\/l*l*l*l)\/l**(-3\/4))*l*l**(-1\/2)*l*l*l*l**(-1\/4)*(((l*l*((l*l*l**6*l)\/l)\/l)\/l)\/l)\/l**7 assuming l is positive.\nAnswer: l**(-149\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q + 0*q - 4*q + 1 - 1 + 2*q - 2*q + 0 + 0 + (3 - 4 + 4)*(1 - 3*q - 1) in the form b + p*q and give p.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**2. Let a(v) = 972*v - 72086. Determine a(r(s)).\nAnswer: 1944*s**2 - 72086","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -234 (base 10) to base 8.\nAnswer: -352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 27?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9032239 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -67*s**2 - 8 - 9 + s + 27 - 9 - 4*s**2. What is m(-1)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2856)\/(-510)*5\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 904, 905, 906, 907, 908?\n\"Answer: k + 903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -894109, -5, -0.007 in ascending order.\nAnswer: -894109, -5, -0.007","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1812391694 to the power of 1\/5, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 1:36 PM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - v + v)*(76 + 40 - 62)*(-6*v + 3*v + 4*v).\nAnswer: 162*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**3 + 76*x**2 - 8*x - 304 = 0. What is x?\nAnswer: -38, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 6*c - 62. What is the remainder when 200 is divided by o(7)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/2 + (1 - 1). Suppose a = -t + 1, -4*a - 23 = -5*k. Find the third derivative of -k*q**3 + 4*q**2 - 2*q**2 + q**3 wrt q.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21162 is divided by 9572?\nAnswer: 2018","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 265*q**2 - 265*q**2 + 20*q**3.\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -123, -16 in ascending order.\nAnswer: -123, -16, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 434046.\nAnswer: 2, 3, 72341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*l = 47*l + 14 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -18190 * -679\nAnswer: 12351010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*s + 3. Let k = -4 - s. What is the remainder when -3 + (1 - k) - -51 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/2*108\/4. What is the greatest common divisor of 9 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*f**5 + f**4 - 3*f**5 - f**3 - 2*f**5 - f**2.\nAnswer: f**2*(f - 1)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 47, 101, 157, 215, 275, 337?\n\"Answer: b**2 + 51*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 4*l + 17. Let m be o(-4). List the prime factors of 92 + ((8 - 2) + -3)\/m.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + w + 1. Let s(x) = -6*x**2 + 13*x. Let d(z) = s(z) - 5*t(z). Give d(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/11 - (-64993296)\/1892 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167966?\nAnswer: 2, 83983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -184, 4, 41, -33, -4 in descending order.\nAnswer: 41, 4, -4, -33, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -118 - -123. Suppose -2*j - r*j = -1330. Calculate the remainder when j is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 158*s + 176. Let g(p) = -p - 7. Let a(r) = 5*g(r) + j(r). Differentiate a(t) with respect to t.\nAnswer: 153","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163 - 179 - 185 - 3*c**2 + 527.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -o**5\/180 + 3*o**4\/8 + 119*o**3\/9 + 283*o**2 + 2*o. Suppose n(b) = 0. Calculate b.\nAnswer: -7, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10007553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, z: 1, w: 1, q: 1, y: 1}. Give prob of sequence bw.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(78) - sqrt(78)*1*-6)\/(sqrt(6) + (-1*sqrt(600) - sqrt(6))) - (3 + ((0 + sqrt(1300))*-5 - sqrt(1300))))**2.\nAnswer: -4572337\/50 + 3558*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 13 and 981\/82 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, x: 1, b: 3, t: 2, s: 4}. What is prob of sequence bs?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 4*g**2 + 2*g + 6. Suppose 0*h + 3*h = 0. Suppose h = 5*r + 3*b + 40, 7*b = -r + 2*b - 30. Calculate the remainder when n(r) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1778899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26\/3, 2.2, 30, -1\/2 in descending order.\nAnswer: 30, 26\/3, 2.2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 501282918 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 84 = 11. Calculate the greatest common factor of q and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/10 of a century?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 21*g**2 - 34*g + 31. What is the tens digit of v(23)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1326, -1429, -1606, -1857, -2182, -2581, -3054?\n\"Answer: -37*o**2 + 8*o - 1297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a day in hours?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1582\/(-112))\/(-1 - (-46)\/28). Let p = n + 87\/4. Which is the second biggest value? (a) 0 (b) p (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 14*n**2 - 22*n + 43. Let b be d(-12). Calculate the greatest common divisor of 35 and b.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -64 - -66. Suppose i*t + 11 = -5*j, -4*j + j + 3 = -2*t. Which is smaller: j or -2\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 181\/1350 and 133\/540.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5879262.\nAnswer: 2, 3, 619, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -13*u**3 + 3*u**2 - 3*u + 8. Let k(a) = 10*a**3 - 2*a**2 + 2*a - 6. What is -4*i(g) - 5*k(g)?\nAnswer: 2*g**3 - 2*g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -6*v - 4. Let j(y) = -13*y - 9. Let t be ((-4)\/8)\/(1\/8). Give t*j(d) + 9*s(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -681*y = -627*y - 102546. Does 4 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -229414*x**4 - 101438*x**2 wrt x.\nAnswer: -5505936*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of j**5\/50 - 7*j**3\/10 + j**2 - 5395. Factor m(n).\nAnswer: n*(n - 4)*(n - 1)*(n + 5)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -6a9a?\nAnswer: 6a9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 8*i**2 + 6*i + 6. Suppose -9 = -5*s + 1. Let b be s*(-2 - 9\/6). Is p(b) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (85 - 81) + (-1 - 0 - 3) - -7 - -53?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-226 + (-81528)\/(-360))*((-47)\/(-49) + -1).\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49 - 12. Suppose 2*s - 2 = -h, -s + 5*h = 8 + 2. Suppose t - q = -2*i, -t + 16 = -s*t - 5*i. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 8*j + 2*n - 17 = 0, 0 = 6*j + 2*n - 62. Let l = 8 + -6. Suppose -8 = -l*w - 2*w. Solve w*u - 5*t = j + 14, -3*u + 2 = -t for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71, -76, -79, -74, -55, -16, 49, 146?\nAnswer: 281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16236384?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2.6 + 220.45\nAnswer: 217.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 7 + 1331*m + 3487*m to d*m + x and give d.\nAnswer: 4818","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 1365\/23 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ylc when three letters picked without replacement from {y: 5, i: 1, l: 2, c: 1}.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -122 - 26*m + 48*m + 29*m wrt m.\nAnswer: 51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 - 61190*z**2 - 61185*z.\nAnswer: -5*z*(z + 1)*(z + 12237)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 14 + 810*t**3.\nAnswer: 810*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-137 - -48 - -90) + -2 + 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 570*m + 314*m - 2 + 58*m in the form h + g*m and give g.\nAnswer: 942","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l*l*l**(-18)\/l)\/(l*(l\/(l*l**(-4)))\/l))\/(l**(-23)\/(l*l*l**(-3\/4)*l*l)) assuming l is positive.\nAnswer: l**(29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k + 8. Let j be m(-5). Suppose 0 = -j*z + z + 40. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus -13353380358?\nAnswer: -13353380357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-10)*(-27 + 2). Let s = 6 + a. Sort -1, s, 5 in ascending order.\nAnswer: s, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -0*b - 4*b + 4*j, 0 = 2*b + 3*j + 6. Let k = 9 + b. Solve -37 = -k*q - 5*p, 0 = 3*q - 7*q + p + 11 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(135) - (sqrt(135) + 6*sqrt(135)*2))*2)\/(sqrt(12)*5 - sqrt(192)*-1))**2*3.\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence itt when three letters picked without replacement from ttttitttittttttiiti?\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/9 - 22*y**2\/9 + 70*y\/9 - 50\/9.\nAnswer: 2*(y - 5)**2*(y - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-55) + (-113)\/(-44) - 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5238.424 milligrams in kilograms?\nAnswer: 0.005238424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*j - 12 = 11*j, -5*y - j = j + 5 - 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 18. Let p = -190 + 331. Let a = -87 + p. What is the highest common factor of a and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37071402 - 18*g**2 + 74142828 - 37071426.\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*v + 37*v + 31*v - 8*v - 8*v - 11*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 295?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/7))**(-18) assuming c is positive.\nAnswer: c**(18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((548\/411)\/(((-2)\/(-3))\/(-1)))\/16?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003398404 to 6 dps.\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -0.163.\nAnswer: -0.652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -12440?\nAnswer: 12442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 + -10. Let b = 3 - -1. Suppose 2*q = b*q. Solve q = x - v - 6, -2*x + z*x + v = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*m - 10 = 168*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2. Let b(y) be the third derivative of 0 + 0*y - y**2 + 0*y**3 - 1\/8*y**4. What is b(z(g))?\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54 - 51. Let r be (-837)\/27 + i\/1. What is the hundreds digit of 845\/7 + ((-8)\/r)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - ((-4 - -6) + 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -21, 169, 405, 681, 991, 1329, 1689, 2065?\n\"Answer: -d**3 + 29*d**2 + 110*d - 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30\/6877 - -61276\/17199377. Which is greater: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -850*l + 1. Is j(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -13*b. Let u(c) = 78*c. Let i = -1249 - -1245. What is i*u(k) - 26*t(k)?\nAnswer: 26*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -1.509.\nAnswer: -0.1509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6177819*p*r**2 - 181*p*r - 5*p - 2*r wrt r.\nAnswer: -12355638*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -105*m - 201. Let c be g(-3). What is the greatest common factor of c and 3819?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-163*j**3 + 79*j**3 - 131*j**3)*(j + j - 3*j) + j - j - j**4.\nAnswer: 214*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 571593.267 milliseconds?\nAnswer: 0.0009450946875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/33 in 0.5, 3, -24, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8170298.\nAnswer: 2, 31, 131779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1872708.\nAnswer: 2, 3, 156059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 175 and 6055?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 7341\nAnswer: 1468.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 1:17 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73 + 78 - 177 - 7*n**2.\nAnswer: -7*n**2 - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 5:06 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 1188.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -39635903.2 to the nearest one million.\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 19 + -7 + -25 + 7\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ze when two letters picked without replacement from vbebebbxtbzvbetztvb.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3 + 816*u**2 + 5445*u - 816750.\nAnswer: -3*(u - 275)*(u - 30)*(u + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 2)*(9*q - 30*q - 10*q).\nAnswer: 31*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 763075 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.1, 0.2, 1, -38, 1\/188?\nAnswer: 1\/188","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -256a164 + -4?\nAnswer: -256a168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2835 = -38*h + 33*h. Does 63 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 51 = -1822169*q + 1822166*q, q + 4*i - 77 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 1\/18 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p\/(p*p**6)))**(-41)\/(p\/(p\/((((p\/(p**(2\/9)\/p))\/p)\/p)\/p)*p))**(-12) assuming p is positive.\nAnswer: p**(-818\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of j**8\/280 - j**6\/60 + j**3 - 8*j. Let v(d) be the second derivative of m(d). Find the third derivative of v(g) wrt g.\nAnswer: 144*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3215671357?\nAnswer: 229, 14042233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-3)*z*z*z**6)\/(z**2*z**(-7)))**30 assuming z is positive.\nAnswer: z**510","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - (-6 + 23 - 30) - (-5 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 132306341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000020012 to six decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -86*g**2 + 7*g**5 - 1 + 34*g**4 - 54*g**2 + 5 + 187*g**2 wrt g?\nAnswer: 420*g**2 + 816*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 - -115\/4. Let j = 0.039 + -0.139. Which is the closest to j? (a) -1 (b) 0.1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x - 11. Let t(v) = -13*v + 76. Let n(r) = -14*m(r) - 2*t(r). Let i = 2 + 9. Let q = i - 18. Give n(q).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 5*i - 253. Let b(q) = -12*q + 507. Calculate -3*b(p) - 7*l(p).\nAnswer: p + 250","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -163.696 + -0.304. Let o = -56895 + 56730.445. Let j = o - t. Round j to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -6*v - 890. Give a(-26).\nAnswer: -734","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 35b (base 16) in base 3?\nAnswer: 1011211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 5 - 8 - -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -1. Let i(z) = -2*z + 16. Let t(o) = -i(o) - 10*m(o). What is the remainder when -2*3\/(-6) - -2 is divided by t(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b + 13. Let h be d(-10). Solve -4*c = 5*q + 31, q - 4*q + h*c + 3 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (30\/25)\/((-1)\/30). Let d = -2 - a. Let p(c) = -c**3 + 5*c**2 + 2*c - 1. What is the remainder when d is divided by p(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r**3 - 5*r. Suppose -2*q = -j - j + 16, -4*j + 8 = 2*q. Let b(o) = -3*o**3 - 9*o. Let m(n) = j*b(n) - 7*s(n). List the prime factors of m(2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 48*t**2\/5 - 3816543*t\/5 + 238533 = 0.\nAnswer: 5\/16, 79511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 877 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-168)\/20*(-140)\/6. Suppose 0 = 3*r + 2*d - t, -2*r - 19 + 118 = -5*d. Suppose -5*l + 10 = -4*w - 28, 0 = 5*l + 4*w - r. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-3)\/x*x)\/x)\/(x\/(x\/(x*x**(2\/5))*x*x)))\/(((x\/x**7)\/x)\/x**(1\/14))*((x\/x**(2\/7))\/x*x)**(-42)\/(x**0*x)**(-6) assuming x is positive.\nAnswer: x**(-1353\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u - 2. Let z(a) = -3*a - 5. Let w(q) = 5*v(q) - 2*z(q). Let y(s) = 20. Let o(t) = 13. Let i(p) = 3*o(p) - 2*y(p). What is 3*i(l) + 2*w(l)?\nAnswer: 2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 23*t - 41. Suppose k + 5*x - 10 = 8, 5*k - 21 = -2*x. Let b be j(k). Find the common denominator of 2 - (-1)\/(b\/(-114)) and 67\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 4*a. Suppose -3*w + w = a. Suppose -g = -3*d - 51, -4*g + w*d = -4*d - 196. Is g a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39 + 41 - (3 - (-1 - -1))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 12*o**3 + 2*o**2 - 2. Let u be x(1). Let l(p) = 3*p + 11 - 24 + u. Suppose 0 = 5*g - 10 - 5. Give l(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -10 (b) -1\/2 (c) -0.2 (d) 4 (e) -6 (f) 2\/1231 (g) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lpt when three letters picked without replacement from {p: 3, m: 1, f: 1, t: 3, l: 2, y: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 10 = 2*y + 3*y, -5*t = -5*y - 25. Let b be (14\/t)\/((-2)\/(-20)). Suppose -b = -5*x + 42. What is the smallest common multiple of x and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/(-3) + (-4)\/(-12). Suppose -5*t = 2*g + g - 15, -2*g - i*t + 10 = 0. Suppose -39 - 1 = -g*k. What is the greatest common divisor of k and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8275\/40 + (-3)\/(-24)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3*u**3 + 63*u**2 - 206*u + 31. Determine q(17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1 + sqrt(243))**2 + -3.\nAnswer: 18*sqrt(3) + 246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-18 - 6) + 7 + -1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 2 = 3*u. Suppose -4*m - 5*c + 2*c = -22, -43 = -u*m + 4*c. Suppose 2*a = x + 78, -2*x = a - m - 27. What is the remainder when a is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/24 - 42\/(-8) - (-1936)\/44.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of 0 + 0*i - i**2 + 27\/14*i**3 + 9\/35*i**5 + 1\/28*i**6 + 1\/490*i**7 + 27\/28*i**4. Factor y(q).\nAnswer: 3*(q + 1)*(q + 3)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1999983836 and -5?\nAnswer: 1999983831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -28, 2, 29\/5, -0.3, 18, -2\/9, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1107421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -222 (base 3) in base 11?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 74*d - 461. Determine j(4).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2842116 to the nearest integer?\nAnswer: 1686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4143465, -4143456, -4143441, -4143420, -4143393, -4143360?\n\"Answer: 3*l**2 - 4143468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-27799)\/(-3)*(-5 - -8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*o = 1, -3*c - 5*o + 36 = -1. Suppose z = 2*z - c. Let w be 9 + (-4 - z\/(-2)). Solve v + 3*v + 5*y = 6, 0 = -3*v + 2*y - w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*y**2 + y**3 - 12*y**2 + 2*y**3 + 3*y**2 - 3*y**2 + (-5*y + 5*y - y)*(18*y - 18*y - 3*y**2) - 5*y**2 + 5*y**2 + y**3 + 3.\nAnswer: 7*y**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305 is divided by 78.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12\/7 + 15\/7*g + 3\/7*g**2 = 0. What is g?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wa when two letters picked without replacement from {q: 3, a: 4, w: 9, h: 4}.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -3*c + 4*s, 3*s - 369 = c - 376 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -10*p + 1. Let u(v) = 8*v**2 + 2*v. Let h(m) = 43*m**2 + 11*m. Let w(z) = 4*h(z) - 22*u(z). Determine c(w(f)).\nAnswer: 40*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -8*p**3 + 3*p**2 + 5*p + 4. Let a(k) = -k**3 - k**2. Let n(v) = -6*a(v) + g(v). Let o be n(5). Solve -20 = -i - o*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3244 + 2?\nAnswer: 3250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14728 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -87*h. Let i(l) = -3*l**2. Give o(i(x)).\nAnswer: 261*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 355 - 182. Suppose -b - 4*c + w = 52, -4*b = -2*c - 502. Is b a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20684 and 54400?\nAnswer: 281302400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of 2*d**3\/3 - 365*d**2\/2 + 1951*d - 3060. Differentiate w(y) with respect to y.\nAnswer: 4*y - 365","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-107)\/21*2\/2 - (2 - 7)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -664 + 671. Sort 3\/8, 0, w, 8 in decreasing order.\nAnswer: 8, w, 3\/8, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**3 - 137*f**2 + 37*f + 2037. What is n(68)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of 2*w**3\/3 - 383. Let n(d) = -2594*d**2. What is n(q(v))?\nAnswer: -10376*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 19\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/(-2) + 30\/(-225))*3. Which is the third smallest value? (a) -0.5 (b) -4 (c) m (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 76184028?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2*u = 0. Suppose 0 = -n - 2*g - 4 - u, 3*g + 9 = 0. Solve -d - n = -2*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + (11 - 19) + 0 + 6?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -343 = -93*k + 587 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 3*d - 4. Let f(z) = 2265*z - z**2 + 2265*z - 9 - 4536*z. What is -3*f(a) + 7*l(a)?\nAnswer: -4*a**2 - 3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6231935 to 3 decimal places.\nAnswer: 0.623","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 14 (b) -0.027 (c) -12 (d) -0.066\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1932229?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - 113. Let v = o + 378. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47321\/15 - -3151. Let a = q - -61\/15. Suppose 0 = -2*v - 3 - 1. What is the closest to v in 2\/13, 1\/7, a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19968870*b**2*n**3 - b**2*n + 1804178*n**2 wrt n.\nAnswer: -119813220*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 179.6 to the nearest 10.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 divided by 4?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -419*d**2 + d. Let v(z) = -3*z**2. Give x(v(n)).\nAnswer: -3771*n**4 - 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -434, -432, -420, -392, -342, -264, -152?\n\"Answer: b**3 - b**2 - 2*b - 432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20829 - 20815. What is the highest common divisor of 15890 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10220230, -10220206, -10220182?\nAnswer: -10220158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/((sqrt(84)*-1)\/sqrt(7)) - sqrt(57)\/(sqrt(21)\/(sqrt(49)\/sqrt(7)))) + 1.\nAnswer: -2*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 * 1571.\nAnswer: -1099.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d**2 - 47*d - 10. Determine p(16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + -16 - (-1 - 9) - (0 + (11 - 4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1803015240?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.42 - -1.22. Which is the nearest to 0.3? (a) 3 (b) 1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 4*o + 2*o - 8, -3*i - 3 = 2*o. Suppose m - 2*s = 12, 5*m = 2*s - 7*s - 15. Let a(r) = 3*r + 4*r - m*r. Calculate a(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -q - 10, -4*q = -3*v + 17. Let y = 1.2 - 1.3. Which is the nearest to 1? (a) 2 (b) y (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360632 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 496809.\nAnswer: 3, 55201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 88 + -138. Let a = z - -352\/7. Is a != -4\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -38*o**2 + 88*o + 14. Let v(t) = -38*t**2 + 93*t + 15. Let c(x) = -3*r(x) + 4*v(x). Factor c(h).\nAnswer: -2*(h - 3)*(19*h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69074 is divided by 30.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**0*v**14\/v*(v\/((v\/((v**18\/v)\/v))\/v))\/v*v*v\/(v\/((v**(1\/12)*v*v)\/v)) assuming v is positive.\nAnswer: v**(373\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 13*f**3 - 2*f**2 + 1. Let v be j(1). Let t = -9 + v. Calculate the lowest common multiple of t and 7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 44550, 44925, 45300, 45675, 46050, 46425?\n\"Answer: 375*b + 44175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 925754271.\nAnswer: 3, 13, 19, 31, 191, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29561*f**4 + 11343*f wrt f.\nAnswer: 354732*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-45))\/(219\/(-45333))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.01 - 0.09. Let f = z + -0.4. Let r = 0.9 - 1. Which is the third smallest value? (a) f (b) 0 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23084 = 66*m - 10837 - 107287. What is the hundreds digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1521*w**3 + 149*w**4 + 1521*w**3 + (-w - 4*w + 3*w)*(-w**3 - 1 + 1).\nAnswer: 151*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4750 - -28827. What is the thousands digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4569, -4570, -4571?\nAnswer: -4572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 = s - 4*p - 61, 3*s + s = 5*p - 19 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 6*u + 4. Let t be j(-7). Sort 0.1, t, 0.07, 4 in increasing order.\nAnswer: t, 0.07, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - 39) + 46 + -29?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 2, -53695, -4 in decreasing order.\nAnswer: 2, -4, -9, -53695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1191*w + 1232*w = 533 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 681*f**2*z**3 - 2*f**2*z**2 + 215*z**3 + 2 wrt f.\nAnswer: 1362*f*z**3 - 4*f*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -162 - -169. Suppose 0 = 5*g + 4*x - 2187, -2*g + u*g + 3*x - 2189 = 0. What are the prime factors of g?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 2953*v = 2911*v + 4618, 334 = -4*w + 3*v for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 167.8 - -0.6?\nAnswer: 168.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + 3)\/((-24)\/(-7144)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -49*i**2 + 3*i - 2. Suppose -2*t = -3*l, 3*t - 94*l + 26 = -96*l. Let s(w) = -7*w**2 - w. Let d(p) = t*s(p) + m(p). Factor d(a).\nAnswer: -(a - 1)*(7*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -6*d + 1. What is r(4)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -565439.3 to the nearest ten thousand.\nAnswer: -570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 111, 94, 77, 60, 43, 26?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4*v - 5. Suppose 4*t + 16 = -2*b + 6, 4*b = 5*t - 20. Suppose 4*j = x + 8, -4*x + 3*j + t*j - 19 = 0. Determine u(x).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**2 + 3*w - 2. Calculate l(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30 - 3\/2*x**2 - 63\/2*x.\nAnswer: -3*(x + 1)*(x + 20)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 5*m**2 + 4*m - 17. Let r(q) = -14*q**2 - 11*q + 50. Let u(x) = 4*r(x) + 11*t(x). List the prime factors of u(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1753534.841 - -18.\nAnswer: -1753516.841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, r: 4, i: 1, h: 5, d: 1, t: 1}. Give prob of picking 1 i, 1 r, and 2 a.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-1)*(-44)\/44.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21? (a) -1.85 (b) 16 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*g - 272*g = 1005 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 1 + 1 + 0 - 509*l to the form c*l + p and give c.\nAnswer: -509","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -628, -595, -542, -469, -376, -263, -130?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -m + 397, -5*b + 676 = 3*m - 503. What is the highest common divisor of m and 341?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14916 + -8491. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 43\/2 of a kilogram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10578?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**2*v*z**3 - 2*g**2*v - 5*g**2*z**2 + 156*v*z**3 - 17*v - 1 wrt z?\nAnswer: -12*g**2*v + 936*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 4. Suppose 3*p = -n + 10, 0 = 2*p + 5*n + 12 + 3. Suppose 0 = -p*j - 5*o - 5, 4*j + 7 = -2*o - 3. Sort k, 2, j.\nAnswer: j, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 57?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121440612.\nAnswer: 2, 3, 1231, 8221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 496 divided by -124\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30077 - -30081. Let x(j) be the second derivative of 30*j + 0*j**3 + 0 + 14*j**2 + 19\/6*j**b. Differentiate x(q) with respect to q.\nAnswer: 76*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002647 rounded to 5 decimal places?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -81*z**4 - 3035754*z**3 - 28444509013*z**2 - 12641554268*z - 1404600484 = 0.\nAnswer: -18739, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341 is divided by (-2 - -3)\/(510\/(-258) - -2).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86982715?\nAnswer: 5, 101, 172243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 10*a**2 + 10*a - 5. What is d(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8735 + -4233. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 14357232, 28714460, 43071688, 57428916, 71786144, 86143372?\n\"Answer: 14357228*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 32195947?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -11*t + 6. Does 6 divide w(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 13623*l - 13624*l - 4 - 2*l**3 + 2. Let q(p) = -5*p**3 - 3*p - 4. Determine -9*a(j) + 4*q(j).\nAnswer: -2*j**3 - 3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1852597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -478*v + 475*v + 72, -4*b = -163*v + 4246 for v.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c**5\/5 - 84*c**4\/5 - 237*c**3\/5 - 198*c**2\/5 + 84*c\/5 + 24 = 0.\nAnswer: -5, -2, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in five quarters of a micrometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 10:05 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1934*h**2*w - 246374*h*w - 56828761*w + 2 wrt h.\nAnswer: 3868*h*w - 246374*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 32, -13, 1\/17, -2\/3, -2?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12293.9 - -12294. Which is the smallest value? (a) 2 (b) k (c) 10\/17 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -166.\nAnswer: 3\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000076039 to 7 dps.\nAnswer: 0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*c = 187*c - 4*x + 10, 0 = 10*c - 4*x + 32 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*s + 11*s + 33*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/5433 and -1\/6?\nAnswer: 10866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of -190*f**3 + 0 - 42*f - 164*f**2 + 7\/3*f**4. Factor o(t).\nAnswer: 4*(t - 41)*(7*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273 is divided by 80?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 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: Expand -2*i**4 + 4*i**4 - i**4 + (0*i**4 - i**4 + 3*i**4)*(-1 - 1 + 1) + i**4 - 3*i**4 + 4*i**4 - 11*i**4 - 2 + 97*i**3 - 97*i**3.\nAnswer: -10*i**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 6) to base 7.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 0. Let t = -102 + 97. Which is the third biggest value? (a) d (b) 3\/2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - (-12 - 47 - -56 - (0 + -1)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*a = -145, l + 3*a + 11 = 91. Calculate the greatest common factor of 1703 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -60790\nAnswer: -12158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -17780 divided by 254\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -835*i - 1150*i + 2809*i - 1.\nAnswer: 824*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*l + 42 + 0 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (-252)\/(-3 + 2)*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sgjg when four letters picked without replacement from gggsjjjgjgjjgggjjgj?\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 32554829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of -o**8\/1344 - o**7\/280 + o**6\/120 + 18*o**2. Suppose d(f) = 0. Calculate f.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of 0 + 5*q - 1\/4*q**4 - 3\/2*q**2 + 9\/20*q**5 + 1\/5*q**6 - 3\/2*q**3. Let m(v) = 0. Calculate v.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1098 is divided by 119.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9939094 rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 20 = 3*q, 2*y - 52 = -q. Let p = -11 + y. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.01 + -0.1. Let u = -0.21 - s. Which is the second smallest value? (a) 0.2 (b) u (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = g - 4*w - 5, 5 = w. Let d = -2 - -2. Which is the third biggest value? (a) g (b) d (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2851 - -17005\/6. Suppose 4*l + 20 + 52 = -2*b, 8 = -4*b. Let o = l - y. What is the biggest value in 0.5, o, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.366*-102.\nAnswer: 37.332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**2\/s)**(-2\/43)\/(s**(7\/2)\/(s\/s**(3\/10))))**(-16) assuming s is positive.\nAnswer: s**(9792\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 6713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 649352 divided by -6908\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2026.935s to microseconds.\nAnswer: 2026935000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 + 25. Let t be (3 - -1)*z\/((-4)\/(-5)). Solve -t*l - 14 = -j - 2*j, -4*j + 11 = l for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - 2*c - 3*c)*(-4 + 6 - 3)*(-25 + 47 + 69) + 3*c - 4*c + 3*c + (1 - 3 + 1)*(-2*c + 2*c - 2*c) + c + 3 - 3.\nAnswer: 96*c","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**3 - g**3 - g**4 + (-2*g**3 + 5*g**3 - g**2 - 7*g**3)*(g - 3*g + 0*g) to the form s*g**4 + b*g**3 + u + t*g**2 + j*g and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**2. Suppose 2*b + 6*s = s + 9, -5*b + 14 = 4*s. Let n(v) = v**2 - 3*v**b - 2*v**2 + 0*v**2. What is n(m(u))?\nAnswer: -16*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211 is divided by 73.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -34*i**2 - 30*i**2 + 11 - 5*i + 63*i**2 - 5. Suppose 3 = -3*p, 2*a + a + 4*p + 22 = 0. Give v(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 74072 and 2256.\nAnswer: 444432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 36452*j**2 + 2 - 8*j**3 - 4 - 36452*j**2 + j. Calculate b(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -203*l**2*t + 7850*l**2 - 126*l*t - 72*t - 5 wrt l?\nAnswer: -406*t + 15700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s - s - 4*s - 3. Let q = -4 - -1. Let i(g) = -1. Determine q*i(w) + y(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71, 495, 1861, 4691, 9507, 16831?\nAnswer: 27185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -26, -1\/7, -4 in increasing order.\nAnswer: -26, -4, -1\/7, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 1. Let y be r(2). Let i = 62 + -55. Suppose 0*v = -i*v + 35. Solve -y + v = -2*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -44 - 5?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a meter in millimeters?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 817 and 1118?\nAnswer: 21242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 91*p + 9885. What is w(-102)?\nAnswer: 603","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) 1\/3 (c) -6 (d) 0.47 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 936 by 2.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 33096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y + 3*y - 2*y**2. Let z be 1 + 2 + 3\/(-3). Let h(p) = z*p + p - p. Give h(m(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -4*s + 10, -6 = -s - 2*w - 1. Let p(t) = t**s - 2 + 6*t + 7*t**2 - 2 + 3. Give p(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((0 + sqrt(832))*1*2)**2 - -3*((sqrt(325)*-2)**2 - sqrt(325))*-1).\nAnswer: -2288 + 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + h**2 - 5*h - 1. Let y(j) = -2*j**3 - j**2 + 6*j + 2. Calculate 6*i(m) + 5*y(m).\nAnswer: -4*m**3 + m**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/21, -3, -94, -3\/14, -4?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1730 - 170. Is 24 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - 11\/(-2))*2. Let z = -7 + x. Let t(f) = f**2 - 2*f - 3. Let j be t(3). Is z equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.7735 - 0.773497941. Round w to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j\/(j\/(j**(-5)*j))))\/j)\/(j\/(j\/j**(-2\/11)))*((j\/(j*j*j**0))\/j*j)**(2\/11) assuming j is positive.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j = -2*j + 228. Let d = 1 + -2. Calculate the remainder when (74\/6)\/(d\/(-6)) is divided by j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 6. Let d(c) = -4*c - 1. Let b be d(u). Let k(l) = 6*l - 5. What is the remainder when k(b) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108 + 245*b - 112 + 220.\nAnswer: 245*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**3\/r*r)\/r**0)\/(r**3*((r**(-6)*r)\/r)\/r) assuming r is positive.\nAnswer: r**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.26 and -107072.\nAnswer: 27838.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42837*d**2 - 170200*d?\nAnswer: 85674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 10985, 10716, 10453, 10196, 9945, 9700?\n\"Answer: 3*v**2 - 278*v + 11260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 9554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (212\/16 - 5)*(-24)\/(-28). Let i = -60\/7 + u. Sort 0.2, 3\/7, 4, i in ascending order.\nAnswer: i, 0.2, 3\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 5*f**2 + 4*f - 1. Let b(y) = -3*y**2 - 13*y - 1. Let d(q) = -2*q**2 - 18*q - 2. Let i(a) = 3*b(a) - 2*d(a). Determine -6*i(s) - 5*k(s).\nAnswer: 5*s**2 - 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (1020\/(-170)*(-3)\/6)\/(90\/8)\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 20 = -0*t. Let q = -19428 - -19445. Solve -3*z - t + q = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 112*(24\/(-36) + (-7)\/(-6)). Suppose -52*q - 1020 = -n*q. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 55 - ((16 - -29) + -62)) + (-1 - 4)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 537694.\nAnswer: 2, 23, 11689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 838.79 + -838.89. Let m = -3 - -5. Suppose -m*f = f + 15. What is the closest to r in -3, f, -21?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (15\/2466)\/((-1)\/(-3)). Let w = 1797\/128506 - u. Let n = 15481\/938 + w. What is the common denominator of 7\/2 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3951552 by 987888.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45533?\nAnswer: 45533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -6157 (b) -1\/3 (c) 0.1 (d) -2 (e) -13 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 1:22 AM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5)\/(-30)*9)\/((-2)\/(-4)). Solve -m - 2*m = -c for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((4*-6)\/3)\/(-1). Let l = y + -1. Is 7 a factor of 1 - 3 - (-112)\/l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9194250 divided by -122590\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -133, -525, -951, -1423, -1953, -2553?\nAnswer: -3235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmw when three letters picked without replacement from mwwwwm.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - -3*sqrt(1216)) + 0.\nAnswer: 25*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -333*x**3 - 2*x - 1023?\nAnswer: -999*x**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4 = 11. Let y = 33 - 18. What is the highest common divisor of y and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 718 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.02 + -0.52. Which is the biggest value? (a) 4\/7 (b) j (c) 2.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18813323, -18813322, -18813319, -18813314, -18813307, -18813298?\nAnswer: -18813287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mwmwwxlw. Give prob of picking 1 l, 1 w, 1 m, and 1 x.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19\/108741957 or 1?\nAnswer: -19\/108741957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2029\/270 + 5\/27. Find the common denominator of -99\/38 and t.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 18328 (b) -2\/11 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 5*z**2 + 7*z. Let o be d(6). Let c(w) = -5*w + 8. Let m be c(8). Let f = m - o. Calculate the common denominator of f and -133\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -149849203, 1.\nAnswer: -149849203, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12.59 from 208.4.\nAnswer: 195.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 462 - 459. Suppose 3*r - 2463 + 6474 = m*o, 5*o = 3*r + 6675. Does 18 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 155649299 to the nearest integer?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 k when two letters picked without replacement from {k: 1, c: 1, i: 1, p: 2, z: 1, b: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 106 - 76. Let b = 59\/2 - n. Put 2, b, 0 in decreasing order.\nAnswer: 2, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 543*r = 538*r + 10, 5*g - 145133 = -4*r. Calculate the remainder when g is divided by 123.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of l**6\/420 - 3*l**5\/35 + 9*l**4\/7 - 72*l**3\/7 + 13*l**2\/2 - 35. Let h(w) be the second derivative of k(w). Factor h(n).\nAnswer: 2*(n - 6)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 2230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 184\/2 + 2\/(-2). Let s = o + -130. Is 6\/39 - 150\/s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 525 and 6220879.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -242 + 245. What is the smallest value in u, -0.3, 1, -0.03?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*m. Let t = -7\/3 - -32\/15. Is t equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 1, -14, -4\/5, -1\/4, 0.13 in decreasing order.\nAnswer: 1, 0.13, -1\/6, -1\/4, -4\/5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 135.8 * 477512.\nAnswer: 64846129.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -33*m. Let i(z) = -67*z - 5. What is -5*f(j) + 2*i(j)?\nAnswer: 31*j - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 2:36 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6, 49, 162, 381, 742, 1281?\n\"Answer: 6*o**3 - o**2 + 4*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 536, 1007, 1360, 1535, 1472, 1111, 392, -745?\n\"Answer: -10*p**3 + p**2 + 538*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fbbbbbbbbgffbbbffb. Give prob of sequence bg.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vfevjfflev. What is prob of sequence fvj?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4243101953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 9*c**2 - 22*c + 4. Let p be x(-11). Solve 4*l = -0*a + p*a, 0 = -a - 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1591 - 0.1591. Which is smaller: 310 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 8:10 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 144\/2*2 + -2. Let d = -137 + m. Let h be (-72 - d)*(5756\/(-12) + -3). What is h rounded to the nearest 1000?\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 4*v = -27, -c = -5*v + 9 - 21 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 12 = -28. Suppose 48 = 12*g + o*g. Solve 0 = 4*s - 5*s + g for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -s**2*t*v - 68*s**2 + 4*s*t**2*v - 86*t**2 - t*v + 37*v wrt t.\nAnswer: -s**2*v + 8*s*t*v - 172*t - v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*n**3 - 780*n**2 - 71*n + 18077184?\nAnswer: -9*n**2 - 1560*n - 71","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, a: 2, l: 1, j: 1}. Give prob of sequence laax.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 3:28 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 1854*r + 20358. Determine q(-11).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -205006?\nAnswer: 1\/205006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-12)\/(-616))\/(648\/(-6048)).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 1)*(-2*f - 2*f**2 + 2*f)*(0*f - f + 4*f - f - 3*f + 2*f + (-1 + 4 - 1)*(-f - 2*f + 2*f)).\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 116 + 72. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v**3 + 2*v**2 + 1 - v + 0*v**2 - 2*v + 4*v. What is the common denominator of 21\/8 and u(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84385?\nAnswer: 5, 7, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 5*o**2 - 15*o - 7. Let x(r) = 23*r + 191. Let z be x(-8). Give t(z).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11111, -9221, -29553, -49885, -70217?\nAnswer: -90549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g + 70 = 22*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) 6\/7 (c) 1 (d) -5 (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of 2*g**4 + g**2 - 3*g - 7413. What is p(2)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 14, -63, -228, -481?\n\"Answer: -44*v**2 + 55*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s**3 + 0*s + 12*s + s**3 in the form n*s + w + k*s**2 + z*s**3 and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 2 - 14. Let m be 3\/l + (-7)\/(-2). Suppose 4*f - 9 = m*f. Calculate the remainder when 25 is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5 = -3*c - r, c + 3*r + 13 = 0. Suppose z = -3*w + 9, -5*w - 4*z = -13 - c. Let l(u) = -u**2 + u + 4. Calculate l(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 + (-14)\/(-4))*6. Suppose 2*w + 2*u = 3 + 1, 1 = 3*w + 2*u. Let a be w\/(z\/(-17)) - 1. Solve 0 - a = 4*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 14. Suppose -16*p - 235 = -11*p. Let u = i - p. Does 8 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -11. Suppose 4*r = -m + 60, -j*r - 2*m + 0*m + 75 = 0. Are 16 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 858*k**2 - 431*k**2 - 429*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of 4*j**2 + 1\/15*j**5 + 0*j + 5\/24*j**4 - 1\/120*j**6 + j**3 + 0. Determine q(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x - 10. What is a(7)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 284316139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a5 (base 13) to base 8.\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -3576023 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + i + 53. Is p(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 5577?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/((-30)\/21))\/(7\/(-14)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39 by 337111.\nAnswer: 39\/337111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 2:44 PM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 42422\/15 and 2829 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 119?\nAnswer: 5\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 215\/148 - 26\/37. Let v = 180 + -2338\/13. What is the nearest to -3\/5 in -5, m, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1070499?\nAnswer: 3, 101, 3533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 510 + 5*u**2 - 7*u - u + 4*u + 0*u**2 - 499. Let i(z) = -z**2 + z. Determine g(v) + 2*i(v).\nAnswer: 3*v**2 - 2*v + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4677797?\nAnswer: 83, 56359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20262404 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2393 + -3663. Round t to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.2 - 2.4. Which is the closest to -1\/3? (a) 5 (b) r (c) -2\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o*s**3*w - 2*o*s**3 + 3*o*s**2*w + 2*o*s**2 + 7*o*s*w - 21*s**3 - s wrt s.\nAnswer: 6*o*w - 12*o - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 20*i + 6 = 15*i, 2*s - 3*i + 6 = 0. Let j = -1047 - -1110. Put s, 2, 1, j in increasing order.\nAnswer: s, 1, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 594, 632, 670, 708, 746?\nAnswer: 784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3172a (base 16) in base 12?\nAnswer: 99262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31 and 744.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of 0*b + b + 5 - 4 - 2*b**2 + 0*b**2. What is y(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((-30)\/5)\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(15\/6) - 0. Suppose 10 = j*s - 6. Suppose 3*c - z = -s + 28, 5*c + z = 36. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/4)\/((-6)\/(-28)). Suppose 3 = 5*d - p. Solve -x - 17 = 3*x + h, -d*h - 19 = 3*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -430 - -444.01. Let g = -55.4 + 41.4. Let d = i + g. Which is the nearest to 0.1? (a) d (b) 0.5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.638 * -98.\nAnswer: -62.524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 1\/4 - 102\/24 - -131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.03 - 2.03. Let h = y + 2. Which is the closest to h? (a) -4\/5 (b) 0 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 213350 and 9775?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3484 less than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*f + 174*f - 4*f + 22*f)*(-2 - 1 + 5)*(-4*f - 3*f + 0*f) in the form t + c*f**2 + z*f and give c.\nAnswer: -2758","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.1, -1\/2, -0.1, 7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.578 minus 46.36?\nAnswer: -46.938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.08 - -5.08. Let t = f - 5.1. Let d = -0.22 + -0.28. What is the second smallest value in -0.2, d, t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r - 3. Let a = 8 + 4. Suppose 16 = a*q - 10*q. List the prime factors of g(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -r**2 + 2\/27*r**3 - 2*r + 1\/108*r**4 - 1\/270*r**5 + 0. Let y(g) be the first derivative of t(g). Solve y(k) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t**4 - 4*t**4 + 3*t**4 - 5*t**4 + 3*t**4 + t**4 + (3*t**4 - 4*t**4 + 3*t**4)*(5 - 5 + 2) - 5*t**4 - 2*t**4 + 2*t**4.\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 10:31 AM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/700*(56\/(-672) + (-2)\/8)?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -2*h - 55. Let r(m) = 7*m**3 - 5*m**2 - 6*m - 4. Suppose 0 = 16*v + 24 - 120. Let g(a) = 13*a**3 - 9*a**2 - 11*a - 7. Determine h*r(t) + v*g(t).\nAnswer: t**3 + t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(2) + -2*sqrt(2)))\/(sqrt(6) - (sqrt(6) - -1*sqrt(294))).\nAnswer: sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 656218*f - 301*f**3 + 296*f**3 - 656218*f.\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7246369?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24090 = 7*t + 4*t. Suppose -2*f + 5*b + t = 0, 306 = f + b - 782. List the prime factors of f.\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -430*s**2 + s + 2. Let u be y(-1). Calculate the common denominator of -125\/96 and 245\/u + 102\/187.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -4*i**2. Let a(c) = 3*c**2 - 3*c**2 + 2*c**2. Let l(x) = 9*x**2 - 8*x**2 + 0*x**2. Let y(k) = -a(k) + 3*l(k). Give h(y(o)).\nAnswer: -4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-2 - -2) - (1 + -3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1926?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -150\/23 != -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11920772 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 13.624728 microseconds?\nAnswer: 0.0000002270788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*((s**(-13)*s*s)\/s)\/s*s)\/s)\/s)\/(s\/s**(-28))*(s\/s**10)**38 assuming s is positive.\nAnswer: s**(-384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41.75 + 45.75. Which is the second smallest value? (a) -1\/8 (b) 19 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 24255, 24268, 24293, 24336, 24403?\n\"Answer: x**3 + 6*x + 24248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.4 (b) 13 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 802103363?\nAnswer: 47, 331, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -5*j - 0*j. Let p be (-16)\/(-24)*(-6)\/(-4). Suppose p = -s + 19. Calculate the highest common factor of s and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2351822659 to the nearest integer?\nAnswer: 48496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s + 11*s = -8*s + 58805. What is the hundreds digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 11:42 PM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -4 - 0. Let x be d + (1 - (3 - 3)). Suppose x*i - 33 = 37. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 274793.\nAnswer: 3\/274793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -18573625047123 and 3?\nAnswer: 18573625047126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -221 (base 4) in base 11?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 415.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281478322?\nAnswer: 2, 140739161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1704*l + 118*l - 914*l - 909*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.7*0.9\nAnswer: 0.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 4*b = -19680, 17*i - 18*i - 3*b = -4924. List the prime factors of i.\nAnswer: 7, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 8 = 27. Does 5 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(288) + sqrt(288))*1 + (sqrt(288) + 1*sqrt(288))*1)*-6)**2.\nAnswer: 165888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3*l + 114, -75*y + 3*l = -71*y - 204. What is the highest common divisor of 15660 and y?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1b1e - 1126?\nAnswer: -2c45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47 + (-40 - -17) + -21.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.2, 3145, 0.1, 16\/7, -0.18?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.1 + 2.11. Sort 4, c, -2.\nAnswer: -2, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4*v + 5 = v, -2*d + 5*v = 11. Suppose -3*l = -15, -4*l + 0 - 10 = -d*z. Solve 10*r - 7*r = z for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + -1)*-1 - 0. Let q be (-4)\/((9 - r)\/(-3)). Determine d so that 20*d**2 + 21*d**4 + 2*d + 27*d**3 + 6*d**5 - 5*d**q + d = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 4*b - 3. Let j = 24 + -20. Suppose 0*t - j*t = 72. Let z be 42\/t + 1\/3. What is a(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 9:29 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 145, 7, 0, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(112)*-4 + -5.\nAnswer: -16*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -143 + 280. Calculate the remainder when r is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1761\/22 - 80. Let c = 1344 - 9393\/7. Calculate the common denominator of c and n.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**3 + 14*p**2 - 29*p + 99. Let c be b(5). What is the fifth smallest value in 2, c, -0.2, 0.1, -0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2 + 20*y - 17. Let s be c(-11). Let i = -62 - -149. Suppose 138 = s*v - i. What are the prime factors of v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 3)\/(-1) - -34. Let o = -8 + i. Suppose -4*w + 68 - o = 0. What is the remainder when 20 is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -340 + 229372?\nAnswer: 229032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2 + sqrt(2) + 1 - (3 + sqrt(6)\/sqrt(3) + sqrt(98) + -1))**2 - ((sqrt(288)*1)**2*3 + (sqrt(20)*-1)\/sqrt(10) + -5).\nAnswer: -757 + 29*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 154390 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 w = 42 - 41. Solve 5 = -2*f + w for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 36*m**3 - 306*m**2 + 2 + 116*m**2 + 193*m**2)*(-m - 2 + 2).\nAnswer: 36*m**4 - 3*m**3 + m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 3*t**5\/4 + 37965*t**4\/2 + 481811247*t**3\/4 + 4313930313*t**2 + 13886078991*t - 45991805472 = 0.\nAnswer: -12637, -32, -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/10 and -79\/672.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + 3*l - 5*l)*(2 + 1 - 4)*(-2*l - 4 + 4).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -97, -102, -109, -118, -129, -142?\n\"Answer: -m**2 - 2*m - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of 7*l**2\/2 + 6*l + 2792. Let o(u) = -6*u - 7. Calculate -6*o(f) - 5*v(f).\nAnswer: f + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9210 and 155615844?\nAnswer: 1842","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 110.23 + -5.63. Let x = 105 - y. What is the third biggest value in 9, -4, x?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 35050456?\nAnswer: 35050455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1594100 rounded to the nearest ten thousand?\nAnswer: 1590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -5*b**3 + 18*b**2 + 80*b + 3. Determine j(-4).\nAnswer: 291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 19596474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 33. Suppose 51 + n = 3*l. Solve 0 = 5*a + x + l, 3*x + 3 = -3*a - 6 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = r - 5, -5*r - 2*i - 3*i + 25 = 0. Suppose -2*h - 4*q = 1 - r, -2*q = 4. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30148*a*b**2 + 2*a*b - 33656*b**2 + 5 with respect to a.\nAnswer: -30148*b**2 + 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -2*u + 12, -4*u + 2*w - 2 = 4. Suppose u = 8*i - 10*i. Solve 5*x = -i*x + 25 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 570 and 2130?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 5 + 43. Let p(h) be the third derivative of -h**5\/60 + 5*h**4\/8 - 6*h**3 + 20*h**2 - 3. What is the remainder when d is divided by p(10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-368)\/28)\/4 + (-4)\/(-14). Let n = 119 - v. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*k**3*x**2 + 3874157*k**3*x - 4747*k**3 - 7*k - 20 with respect to x.\nAnswer: 16*k**3*x + 3874157*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -696699, -1393402, -2090107, -2786814, -3483523, -4180234, -4876947?\n\"Answer: -a**2 - 696700*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 117\/5162 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**3 + 0*c**3 + 2*c**4 + (-1 - c**4 + 1)*(1 + 0 + 0) + c**4 + 0*c**4 + c**4 - 1749*c - 11 - c**4 + 5*c**2 + 1751*c + 2.\nAnswer: 2*c**4 + 5*c**2 + 2*c - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3494553 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o + 6*o**2 + 4*o - 5*o**2 - 4*o**2 + 14 - 14 + (0 + 5 - 3)*(3*o**2 - 3*o**2 + 2*o**2) + 4 - 4 - o**2 + 10*o**2 - 113*o + 113*o.\nAnswer: 10*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 100893*b**3 - 995*b**2 + 995. Let r(n) = -203*n**3 + 2*n**2 - 2. Calculate -1990*r(y) - 4*z(y).\nAnswer: 398*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.5 + -7. Let x = -55.39 + 49.69. Let o = g + x. Round o to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/20 and -23\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(-5)*y)*y)\/y**(-2\/3))\/(y**1\/y)**(2\/105)*(y*y**(3\/5)*y)\/((y*(y\/(y\/(y*y**(2\/5))))\/y)\/y)*y**(-2\/7)*y\/(y*y**2)*y assuming y is positive.\nAnswer: y**(796\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from victtigggggctgiccgcg. What is prob of picking 2 g, 1 t, and 1 i?\nAnswer: 84\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 1408\nAnswer: 422.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a - 57 = 36*d - 39*d, 5*d - 95 = -a. Solve -4*g = 15*g + d for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c + 12*q - 165, -2*c - 25*q = -24*q + 9 - 28 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2850 + 2844 + 2736 - 8430 - p**3 - 2*p**3.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 9*b**2 + 24*b - 10. Let p be r(-12). Let m = -96 + p. Calculate the smallest common multiple of m and 15 + (0 - (0 - -3)).\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p**2 + 0*p**2 + p**2 + (-11*p + 16*p - 9*p)*(-6*p + p + 2*p) to the form s + v*p**2 + j*p and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 38253 (base 12) in base 8?\nAnswer: 225137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-4))\/((-510)\/(-340))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2651 * -0.2.\nAnswer: 530.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2660 = 4*j + 288. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**5\/7 - 34*j**4\/7 - 2*j**3\/7 + 34*j**2\/7 = 0. What is j?\nAnswer: -1, 0, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45163 - 21997. Does 33 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*c + 2 - 2)*(0 - 3 + 4)*((-2*c + 0*c + 3*c)*(-1 + 6 - 3) - 5 + 2*c + 5 + (-2 + 2*c + 2)*(3 - 2 + 0)).\nAnswer: 66*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c**3 - 29*c**2 + 28*c + 3. What is m(9)?\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -222 (base 3) to base 6.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -50 + 112. Let v = 61.999934 - t. What is v rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 310 divide 15451330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Is 277 a factor of 5039012?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2 - 15\/2)\/(3\/(-48)) is divided by 31.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 56\/(-14) + 12 + -1. Let f(k) = -3*k + 33. Does 3 divide f(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 155 - -62. Let w = -152 + v. Which is smaller: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/c**8)\/(c*c\/(c*c**(-9))))\/(c*c**2*c*c\/(c\/c**(10\/3)*c)))**(2\/9))**(-1\/70) assuming c is positive.\nAnswer: c**(2\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*i + 20 = 5*c, -4*i + 5*c = 20. Suppose -16*u + 11*u + 20 = i. Let a(b) = b**2 + 3*b. Is a(u) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(76)*2)\/(sqrt(512)\/sqrt(2) + sqrt(4) - sqrt(4)).\nAnswer: 5*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -292399*g**4 - 1192475.\nAnswer: -1169596*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 86*c + 2904*c + 2656*c - 358*c + 183*c in the form k + s*c and give s.\nAnswer: 5471","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -109485714, -218971429, -328457144, -437942859, -547428574, -656914289?\n\"Answer: -109485715*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from 3760568.419.\nAnswer: 3760568.119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from plplippplv. What is prob of picking 1 l and 1 v?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1644500227?\nAnswer: 107, 15369161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 183313853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11998627 a multiple of 640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 9 = 4*r, -4*r + 3*g + 9 = -0*r. Suppose r = -5*z - 7 + 32. Suppose -z = 4*p - 5*p. Solve m = -5*k - 19, -p*k + 5*m = 3*m + 22 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -205*y**3 + 9*y**2 - 9*y - 9. Let m(k) = 103*k**3 - 4*k**2 + 4*k + 4. Give -4*h(x) - 9*m(x).\nAnswer: -107*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2626 (base 13) to base 7.\nAnswer: -21601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tep when three letters picked without replacement from {t: 1, q: 1, p: 2, j: 1, e: 1, z: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 40788111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3244914768 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 18*m - 61. Let l be t(-5). What is the nearest to l in 10\/11, 0.3, -5, 0?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) + sqrt(44))\/sqrt(4) - (sqrt(275))**2*-2) + sqrt(55)\/((sqrt(120)\/sqrt(4))\/sqrt(6)).\nAnswer: 6*sqrt(11) + 550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*j**3 + 4*j - 8*j**3 + 3*j**3 + 2 in the form f*j + o + w*j**3 + a*j**2 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*s - 305 - 463. Let n(w) = 200*w - 102*w - s*w. Let m(u) = 51*u**2. Give n(m(r)).\nAnswer: 102*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/837751?\nAnswer: -2\/837751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 183 = -3*x, 0 = 3*z + 2*z + 15. Calculate the highest common divisor of 7 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275 a factor of 354603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of 25*b**3\/6 + 985*b. Let r(m) = -12*m. Determine r(q(z)).\nAnswer: -300*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 590\/22 + 18\/99 is divided by 28\/(5\/5*2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224498?\nAnswer: 2, 112249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1707805488 is divided by 2611.\nAnswer: 2608","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 11*g - 1152. Solve 0 = 2*k + g - 64 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -4502?\nAnswer: -44b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 94495 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oxxoqozvo. Give prob of sequence oz.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 0. What is the second derivative of -p*k**5 + 5*k**5 - k - 5*k**5 + 0*k**5 wrt k?\nAnswer: -40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -2*t - 17, -3*t - 4*m - 13 = -9*m. Suppose -3*g - 26 = -8*g + t*z, 5*g - 18 = 2*z. Calculate the remainder when 7 is divided by g + (3 - 2\/1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3024 and 945?\nAnswer: 15120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (588\/15)\/((-29)\/(-145)). Suppose 5*w = -5*d + 250, -17*w + k = 4*d - 14*w. Solve 0 = -8*q - 14 + d for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 9*y + 7. Let i(a) = 5*a + 4. Suppose -2*v + 5*u - 17 = 0, -5*v + 0*u + 5*u = 5. Determine v*o(g) - 7*i(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 85*g**2 + 16*g + 40. Let a(y) = -29*y**2 - 6*y - 14. Calculate -8*a(r) - 3*d(r).\nAnswer: -23*r**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -7. Let k be (54\/(-8))\/(c\/(-8)). Calculate the highest common divisor of k and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2 + 8*x + 3. Let p be c(-7). Suppose -3*u + p = 2*u. Calculate the remainder when (23 - -1) + 2 + -1 is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/4))**(4\/19)*v\/(v*v\/(v\/v**(4\/5)))*v**7)\/((v*v\/(v\/(v\/(v*v**1)*v)))**45*(v**3\/v)\/(v\/(v*v**(4\/9)\/v))) assuming v is positive.\nAnswer: v**(-34364\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1440 = -12856*o + 12952*o for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 42*a + 164 wrt a.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12 - -1253588?\nAnswer: 1253576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -213 + 216. Let n = 56 - 28. Suppose o*d = -16 + n. Solve -2*p - 14 = d*y, 11 = -y - 5*p + 3*p for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 370763 = 7153*q + 5375*q + 515225 + 1221090 for q.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 2*x + 11 = t, -3*x - 7 = t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -274.\nAnswer: -5\/274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + z + 210 = -0, -4*z + 61 = a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**2*o**3*x**3 + 13*f**2*o**3*x - 152*f**2*x**3 + f*o**3*x**2 + o**3 wrt x?\nAnswer: 12*f**2*o**3 - 912*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 202*i**2 + 2 - 146*i**2 - 4 + i + 196*i**2 as b + o*i + k*i**2 and give k.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14546 divided by 475.\nAnswer: -14546\/475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**2 + 3*r + 3. Let w(h) = -8*h - 9. Let a(f) = -f + 1. Let g(v) = -6*a(v) + w(v). Let m be g(-9). Calculate c(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, d: 11}. What is prob of sequence xx?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25 in -0.4, 4, -4, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -37 and 0.2?\nAnswer: -7.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.718 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -8*n. Let w(h) = -306*h. Calculate p(w(c)).\nAnswer: 2448*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 2, -49\/2, 0.5, -3, 24?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 6*(-1*sqrt(448) + 1).\nAnswer: -48*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i - 18*i + 19*i + 42 = 0 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -41, -77, -121, -173, -233, -301?\nAnswer: -377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -50 + 54. Suppose -2*n + w*n = 380. What are the prime factors of n?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 412351425 + 4?\nAnswer: 412351433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*42*(-1)\/2. Let k(v) = v**3 + 19*v**2 - 43*v - 21. Let o be k(t). Let j be 8\/(-6) + (-3)\/(-9). Sort o, 5, j, -4 in descending order.\nAnswer: 5, o, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 - 47\/2. Let q = 6\/7 + -17\/28. Let u = 7\/12 - q. Is s at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10695*b*m**5 + b*m + 66*b + 9*m**3 + 55 wrt m?\nAnswer: -213900*b*m**3 + 54*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -81 + 156. Let t = x - 76. Let r = -0.36 + -0.04. Which is the smallest value? (a) r (b) 4\/5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.353 (b) 2 (c) 271\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 778.\nAnswer: -9\/778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -124353605 rounded to the nearest 1000000?\nAnswer: -124000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182*p**4 + 147786*p**3 - 29704024*p**2 - 120859392*p + 1331712 = 0. Calculate p.\nAnswer: -4, 1\/91, 408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 5:49 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -890\/11 or -0.0602?\nAnswer: -890\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2831 divided by -149.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52*w**3*x + 2*w*x + 3*x wrt w?\nAnswer: 312*w*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/45)\/((-4)\/6)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i + 60. Give c(-29).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/14)\/((-37)\/9842)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -9. Let s = 14 + -69\/5. Which is the closest to 2\/5? (a) s (b) -3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0078249459 rounded to 5 decimal places?\nAnswer: -0.00782","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-210)\/728 - 21\/(-84) - 4\/26.\nAnswer: -5\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5564 to 2 dps.\nAnswer: 0.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000076 rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.079 - 0.121. Let l = -15 + 25. Let v = 10 - l. Which is the second biggest value? (a) -2 (b) q (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 173*h*m**3 - 2*h*m + 307332*m**3 + 8895361 wrt m?\nAnswer: 1038*h*m + 1843992*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 138, 2882, 5626, 8370, 11114?\nAnswer: 13858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 n when four letters picked without replacement from vnnnnvnnnnvvnnnv.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29313 is divided by 608?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -11.9962827 and -3.\nAnswer: -14.9962827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 410094.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7\/1777 + -1874686\/12439. Let p = 151 + l. Let h be (2 + 4)*1\/((-99)\/(-3)). Sort p, 1\/12, h in descending order.\nAnswer: p, h, 1\/12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2966 (base 11) to base 2.\nAnswer: -111011101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-9*(-6)\/36)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 463 a factor of 2924585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, d: 5, f: 7}. Give prob of picking 2 d and 1 f.\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7.1, 3, 2\/17, -2, 1\/66, -0.29?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 475040 and 475039 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4789386 - 3497473 - 1869201 = -20*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 175029622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away 10978180391?\nAnswer: -10978180393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.1 + 1.1. What is the nearest to -0.1 in v, -0.02, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f**2 + 5*f + 11. Give s(8).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 m when two letters picked without replacement from {p: 1, l: 3, m: 4, b: 1, c: 2}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 6 = -1779*m + 1781*m, 3*m = -z - 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xax when three letters picked without replacement from xax.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12632 to the power of 1\/2, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vvnpn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 4:01 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -145.39466 rounded to 1 dp?\nAnswer: -145.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -13642, -54299, -122064, -216937?\n\"Answer: -13554*y**2 + 5*y - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.29 and 9469.\nAnswer: 9469.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -4*t**2 - 4*t - 2. Let g(n) = 24*n + 167. Let x be g(-7). What is m(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 88.5567954 to one dp.\nAnswer: 88.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/195)\/(1573\/(-1859))?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -2\/105*b**5 - 1\/84*b**4 - 118*b**2 + 0*b + 0 + 5\/21*b**3. Determine g, given that w(g) = 0.\nAnswer: -5\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7440 or -7442?\nAnswer: -7440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 885*t = -887*t + 2, 0 = 5*a - 4*t + 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 6*((-4*sqrt(80))**2 + sqrt(5) + sqrt(5)*-2 + 2))*-3 + 4.\nAnswer: -23069 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2077658 to the nearest integer?\nAnswer: 1441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 3*v - 4 - 8, -2*v - 9 = -3*u. Suppose u*a = 5*a. Is 1 != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*((-12)\/(-3))\/(-2). Let c = g - 4. Is (-4)\/12 + (-56)\/c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25131 + 69206. Is 205 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56131 divided by -14\nAnswer: 56131\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.010511l in millilitres?\nAnswer: 2010.511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13*i**4 + i - 191 wrt i?\nAnswer: 52*i**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**2 + 0 + 0*w + 0*w**3 - 1\/24*w**4. Let c(o) = -8*o + 8*o - o**2. Calculate c(q(k)).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6 + -1. Let a(d) = -5*d - 30. Let u be a(-6). What is the second biggest value in -0.2, g, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5727 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of -g**5\/20 - g**4\/12 + g**3\/6 + 4*g**2 - 8*g. Let r = -2 + 2. What is b(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**3 + 41*i**2 + 575*i + 12635. Give w(-21).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o - 7 + 7 - o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (2 - 1) + -23 + 24?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4*i**3 + 2*i**2 - i - 2. Let t be v(-1). Suppose -3*s = -t*b + 3717, -3*s + 245 = -b + 998. Let a = b - 499. List the prime factors of a.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 15, 34, 55, 78, 103?\n\"Answer: w**2 + 16*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 157 - 159. Let t(y) = -10*y**2 - 1. Give t(s).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31981168 a multiple of 334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -921 = -2*t - j - 929, -5*t - 4*j = 26 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.034 + -1.266. Let o = -1.3 + k. What is o rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.12 or 64?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74025, -74032, -74039, -74046?\nAnswer: -74053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-30)\/(-5)*(-24)\/(-6). Let w(h) = h**3 - 23*h**2 - 21*h - 39. Let q be w(i). Solve -13 = 5*k - q for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -2*q**4 + 9164*q**3 - 8762632*q**2 - 4135415180*q + 20894997450 = 0?\nAnswer: -345, 5, 2461","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 352*y**5\/7 + 20*y**4\/7 - 86*y**3 - 306*y**2\/7 - 36*y\/7 = 0. Calculate y.\nAnswer: -1, -3\/8, -2\/11, 0, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -210.3 + 229.3. What is the second smallest value in -3\/8, -2\/11, 17, u?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.3 times 36?\nAnswer: -694.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -0*r - 2*r - 60, -5*r = -m + 15. Let b be ((-6)\/m)\/((-7)\/(-10)). Let z = 5 + -8. What is the nearest to 0 in b, z, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r**2 - r + 1. Let d be 3*1*2 + 8\/8. Suppose 2*u + 5*l = -d, 1 = u + 3*l - 2*l. Let a(s) = -13*s**2 - 5*s + 5. What is u*a(h) - 18*j(h)?\nAnswer: 2*h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + -4)*3\/24*-292. Put l, 0, -1\/5 in decreasing order.\nAnswer: l, 0, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/44)\/((-2)\/24).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n + 6. Let z be (-1)\/(-5) + 26\/(-5). What is the smallest common multiple of q(z) and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 224 and 22151?\nAnswer: 4961824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k\/k**(1\/11)))**(-39)\/(k**(-2\/15))**29 assuming k is positive.\nAnswer: k**(-6382\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -675.38 + 597. Let k = 77 + c. Round k to one decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + 3 + sqrt(34)\/sqrt(2) - (-3*sqrt(833) - sqrt(833))**2.\nAnswer: -13325 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*k + 2*o + 6, 5*k + 3*o + 5 = 0. Let x(u) = -u**3 - 6984 - 4*u**k + 6982 - u + u**2. Determine x(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -1.293435721535\nAnswer: -3.706564278465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z + 3*t + 27, 5*t + 22 = 2*z + t for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 15, 2*i + 2*i + 25 = q. Suppose 2*t + 5*g + 135 = 0, g - 311 - 94 = q*t. Let x = -57 - t. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 310007*b**3*v**3 + 4*b**3 + 73*b**2*v**3 + 6412*b**2 wrt b.\nAnswer: 1860042*v**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kku when three letters picked without replacement from {u: 1, k: 2, f: 5, n: 1}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2*sqrt(84)*-5)\/(sqrt(12) - sqrt(24)\/sqrt(32)).\nAnswer: -80*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -7 + (6 - -1) + 40\/(-300). Which is the third smallest value? (a) u (b) -4.2 (c) -63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 10:24 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 3\/2 (c) -245 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 11:11 AM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c + 1. Let l(b) = 463*b - 463. Give l(v) + 463*w(v).\nAnswer: -463*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 21*k**3 - 14. Let s(b) be the third derivative of b**6\/30 - b**3\/2 - 8*b**2 + 2*b. Determine 14*s(d) - 3*t(d).\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5315568 divided by 296\nAnswer: -17958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1220014 is divided by 112.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9641 + 587?\nAnswer: -9054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + (2 - -1501) + 1. Is a\/30 - 1\/5 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*s + 2 = -31*s, -5*s = u + 725. What is u rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 47 + 125.882.\nAnswer: 172.882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67138975 is divided by 2991.\nAnswer: 2989","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 3, -1, 0.1, 1\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4 + ((sqrt(325) + 3)*2 + sqrt(325) - sqrt(325))) + ((-1*(2 + sqrt(325)))**2 - (4 + sqrt(325)*-2)).\nAnswer: 10*sqrt(13) + 321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 13.3*1405\nAnswer: 18686.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/4 - -4) + (-6)\/(-8). Suppose -2*g - 211 = 3*a - 870, j*a = g + 875. List the prime factors of a.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1264182 (base 10) to base 12.\nAnswer: 50b706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-27) + 4 + (-452)\/90.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -271.\nAnswer: -271, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3573575 (base 8) to base 3.\nAnswer: 1211211111012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 107 = -5*a + 53, -2*a = 2*t + 98. Calculate the remainder when t*11\/(220\/(-16)) is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 547162699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 1 - 6*f - 6*f**2 - 1 + 0 - 1. Let z(s) = 7*s**2 + 7*s + 1. Give -5*c(x) - 4*z(x).\nAnswer: 2*x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m - 68 = -11*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -811*x**2 - 475 with respect to x.\nAnswer: -1622*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 2*o**2 + o + 1. Calculate the least common multiple of s(0) and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-1*3))\/(361\/18411)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -319198, -319193, -319188, -319183, -319178, -319173?\n\"Answer: 5*r - 319203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*(-3)\/63*-7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -18424000 rounded to the nearest 1000000?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(475) + sqrt(57)\/sqrt(3)*2.\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 7*v - 13. Let q be y(-9). Suppose 4*w = q*w - 2. Suppose w*k = -5*o + 6*k + 40, 0 = -3*o - 2*k + 46. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 0, -2*g - 110 = -5*c + 10. Is c a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 4 + 6)*(0*t + t**4 + 0*t) + (136*t**4 + 990*t - 990*t)*(-2 - 4 + 3).\nAnswer: -410*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -366.5 and -0.022083.\nAnswer: 8.0934195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3787, -1, -98 in descending order.\nAnswer: 3787, -1, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 - 16. Solve -3*p = u*g + 2*p - 6, 3*g - 3*p + 18 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -4*q + 17478, 31*q - 28*q - 13119 = -5*y. Calculate the smallest common multiple of q and 1092.\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 + 1. Let z = 10 - 11. Let d be k(z). Find a, given that -1\/2*a**4 + d*a + 1\/2*a**3 + 0 - 1\/2*a**5 + 1\/2*a**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 151323174?\nAnswer: -151323177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (390\/(-8190))\/((-2)\/(-2))?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) -5 (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of w**5\/60 - w**4\/24 - w**3\/6 + 3*w**2. Let b(d) = 8*d**2 - 3*d - 3. What is b(h) - 3*p(h)?\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of z**4\/4 + z**3\/3 + z**2\/2 + 53*z - 1. Is o(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**0\/f**(6\/25) assuming f is positive.\nAnswer: f**(-6\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 12:00 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -30943, -61850, -92705, -123508, -154259, -184958?\n\"Answer: 26*v**2 - 30985*v + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -39 - 17 + 12 - 67*v - 6. Let j be f(-5). Round j to the nearest 10.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2711277 minutes to nanoseconds.\nAnswer: 16267662000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 10:43 AM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 83616*0.18\nAnswer: 15050.88","meta":{"dup_signals":{},"source":"arithmetic__mul_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: Suppose -177*t + 3*g + 49140015 = -179*t, -4*t - 98279995 = -g. What is t rounded to the nearest one million?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (6*j - 2*j + 0*j)*(-1 - 2 + 1) + 2*j + 3*j - 4*j - 5*j + 4*j + 4*j as v*j + g and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**2. Let n(v) = 152*v - 1. Let f(l) = -454*l + 5. Let p(t) = 2*f(t) + 7*n(t). Determine j(p(h)).\nAnswer: -48672*h**2 - 1872*h - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3982441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - -2 - (-7)\/(14\/810) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 976 and 610.\nAnswer: 4880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -293, -623, -953, -1283, -1613?\n\"Answer: -330*g + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 417385098 to the power of 1\/3, to the nearest integer?\nAnswer: 747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 4*c + 18, -c - 4*c - 20 = 0. Suppose -2*s + 3*j = -52, s - 7*j - 19 = -t*j. What is the remainder when 86 is divided by s?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4287517.477 and -3322.\nAnswer: -4290839.477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 131.246 - 0.246. Let k = p - 131. Which is smaller: 2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 2*n**2 - 5*n - 5. Let g(z) = -z**2 + 1. Let d(r) = -g(r) - j(r). What is d(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 82033.\nAnswer: -41016.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88, 77, 76, 91, 128?\nAnswer: 193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 80*f**2 - 10*f + 419. Let o be n(-80). What is the greatest common divisor of o and 106?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -313? (a) 29 (b) 0.04 (c) 0 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a = 2*a + a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of u**5\/20 + 3*u**4\/4 - u**3\/2 - 21*u**2\/2 + 1067*u. Determine w(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**5 - 862*b**4 - 185174*b**3 - 12020840*b**2 - 34779201*b - 22942674 = 0.\nAnswer: -577, -141, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -6. Let l = -2 - m. Let k be l\/4 + 30\/20. Solve -4*n + 2 = -k for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j**2 + 3*j - 3. Let f(p) = 4*p**2 - 3*p + 3. What is -5*f(c) - 6*m(c)?\nAnswer: -2*c**2 - 3*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7061 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -20, 112541, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(7623) + sqrt(7623) - (sqrt(63) + (sqrt(252) - (sqrt(252)*-2 + sqrt(252)))\/sqrt(4)).\nAnswer: -2 + 57*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + z - 4 = 0, 2*z = 4*h + 10 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -73.52 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 1:06 AM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3522831 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.714389m in kilometers?\nAnswer: 0.005714389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 209678, 419352, 629026?\nAnswer: 838700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4920753?\nAnswer: 3, 19, 131, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 z, and 1 m when three letters picked without replacement from {z: 2, y: 1, m: 4, e: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7803 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-18))\/((-4)\/120)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 549*a**2*d**3*z**3 + 5*a**2*d**3*z - 28*a**2*d**2*z**3 - a**2*z + a*d**2*z**2 - 2*a*d + 1216*d**3*z wrt z?\nAnswer: 3294*a**2*d**3 - 168*a**2*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(13) - (sqrt(52)*1)\/sqrt(4)))*-6 - -6*((sqrt(286) + sqrt(286)*-1 + sqrt(286))\/sqrt(11) + sqrt(26))\/sqrt(2)) + -1.\nAnswer: -19 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**2 - 2*j - 1. Let f be -3*(8\/6 + -1). Let a be n(f). Let g = a - 0. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3705 = 239*c - 359 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -m**6\/120 + m**5\/20 + 5*m**4\/24 + m**3\/3 - m**2. Calculate y(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 479*s**2 + 60*s + 193. Is y(-3) a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 225729034*j**2 + 6731022 wrt j.\nAnswer: 451458068*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + -21.985. Let n = 0.088 - x. Round n to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 12 = -2*m, -2*b = -3*m + 1 + 1. Let y be 6\/9 + b\/(-3). Solve t = -y + 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 870123, 870132, 870153, 870192, 870255, 870348, 870477, 870648?\nAnswer: 870867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 255444*q**2 + 146164*q + 112.\nAnswer: 4*(7*q + 4)*(9123*q + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -11*z**3 + 5*z**2 - 9*z - 9. Let w(l) = 5*l**3 - 2*l**2 + 4*l + 4. Let v be 8\/(-2) - (1 - 1). What is v*s(f) - 9*w(f)?\nAnswer: -f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/16 and -11\/69214?\nAnswer: 553712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 493672223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 5*q = 33, 4*c + 1997*q - 1993*q + 4 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 96591292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 3*s**2 + 20*s - 9. Let m be u(7). Let x = m + 85. What is the greatest common factor of x and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 20*f + 17. Let h(s) = 40*s + 34. Let w(c) = -3*h(c) + 7*o(c). Let u(l) = 7*l + 6. Let a(i) = -17*u(i) + 6*w(i). Let q(v) = 3*v**2. Determine q(a(z)).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + (-3 - 1*-2). Let i be ((-14)\/(-3))\/(j\/(-18)). Suppose -5*r + 2*r + i = 2*m, 3*r - 8 = 2*m. What is the smallest common multiple of r and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 339876 and 2916.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3964, -3, 6664 in ascending order.\nAnswer: -3, -1, 3964, 6664","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1114 (b) 1 (c) -5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27 by 3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 27\/(-6))*(-7 - -9). Solve 0 = v*p - 10*p - 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 4*d - 11. Give b(10).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2288*-1.\nAnswer: 2288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/105 + ((-65)\/28 - -2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 3. Let g = -1 + 0.8. Let m = g - -0.1. What is the closest to m in -2\/21, p, -4?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42 - 118. Let i = c + 160. What is the closest to -0.02 in -0.4, -2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13684 divided by 6842\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9442\/17 + -556. Let k = 79\/221 + d. Let m be 14\/(-12)*(78\/(-14) - -5). Which is the third smallest value? (a) k (b) m (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let 27*j**3\/7 + 3312*j**2\/7 + 2199*j\/7 + 366\/7 = 0. What is j?\nAnswer: -122, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (20\/(-3))\/((15\/9)\/(-5)). Suppose -t*x + 1836 = -3*x. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*o + 24*o**3 - 56*o**2 + 414*o**2 - o**4 + o**3 - 42 - 25*o**3 wrt o.\nAnswer: -12*o**2 + 716","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.68 and 1634.\nAnswer: 1636.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/546 and 37\/45123.\nAnswer: 631722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1995845 divided by 16\nAnswer: 1995845\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8749, -17460, -26169, -34876, -43581, -52284, -60985?\nAnswer: -69684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -942 or -941?\nAnswer: -941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1097.\nAnswer: 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 357 by -21.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.67 and 369454.\nAnswer: 616988.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -5 - (-14 + 15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + 0)*-4)**2 + -2.\nAnswer: 1870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1049*w**2 + 2*w + 7 wrt w.\nAnswer: 2098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1595 and 385?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f - 14 + 17 + 2*f. Calculate s(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2568454 and 23900444.\nAnswer: 21331990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d*u**4 + 2*d*u**3 - 4*d*u**2 - d*u + 375*u**4 - 3*u**3 + 322*u**2 wrt u?\nAnswer: 48*d*u + 12*d + 9000*u - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -90 - -33. Let t = z + 86. Let q = t - 13. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.06, 1\/2, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/680 and -31\/6812.\nAnswer: 1158040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.003173*-2.1.\nAnswer: -2.1066633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*d**2 + 3*d**2 + d**2)*(4 - 6 + 0)*(2 + 0 + 1)*(-18*d + 0*d - 3*d).\nAnswer: -252*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -7, -4 in decreasing order.\nAnswer: 4, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -521 - -521.4. Which is the biggest value? (a) l (b) -0.3 (c) 158\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 19 (b) 2 (c) 75.7 (d) 713\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25377 and 89.\nAnswer: 2258553","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*q = -290 - 14. Let y(r) = r**2 + 3*r + 7. What is the remainder when 139 is divided by y(q)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 24. Let o be -2 + 3\/(9\/c). Solve -q = -3*g - 0*g - 16, 3*g + 24 = o*q for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4*c - 3 = 2*c, b = -5*c. Let v = -16 - -29. Suppose 5*g + 5*y - 20 = 0, 2*y + v = -4*g + 35. Solve -b*k + 13 = -g for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11840*a**2*i + 54851*a**2 + 2*a*i wrt i?\nAnswer: 11840*a**2 + 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3384, -7942, -15546, -26202, -39916, -56694?\n\"Answer: -d**3 - 1517*d**2 - 1866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -63*t**2 + 19*t**5 + 63*t**2 + (0 + t**2 + 0)*(t**3 + 0*t**3 + 0*t**3).\nAnswer: 20*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1335 and 5034435.\nAnswer: 448064715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 3:50 AM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -116.94778 + -0.1.\nAnswer: -117.04778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q = 17*d - 21*d - 68, -q + 25 = -3*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-2636.\nAnswer: -527.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b*s**3 - 59*b*s - 1730*s**3 with respect to b.\nAnswer: s**3 - 59*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 + 62*i - 60.\nAnswer: -2*(i - 30)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81*(-40)\/(-210)*112\/(-24).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i*q**4*r + 2*i*q**4 - 5*i*q**2*r - i*q**2 - i*q*r + 58*i*q - 3*i + 41644*q**3*r - q**2 wrt q.\nAnswer: -48*i*q*r + 48*i*q + 249864*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 6*d**2 + 0*d**2 - d**3 + 2 + d - 2*d**2. Let i be (-16)\/6*(-6)\/(-4) - -8. Determine h(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of 7\/5*j**5 - 10*j**2 + 1\/2*j**4 - 7*j**3 + 62 - 4*j. Find z, given that d(z) = 0.\nAnswer: -1, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, v: 3, h: 2, a: 1, i: 4}. Give prob of picking 1 v and 1 i.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 70, -11.2, -20, -0.33 in decreasing order.\nAnswer: 70, -0.33, -11.2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -595 + 593 - (-3 - (-1 - 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -19\/7033 (b) 1\/7 (c) 1.3 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 0 + 120 + 0\/(-3 + 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36*g**2 - 403*g wrt g.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 236 divide 48941813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(10\/4*(-300)\/(-75))*260\/(-12)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a factor of 5800180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 15 = 0, -7 = -n - 0*r - 4*r for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*q + 4*q + q)*(317136 - 2500*q**2 - 317136) to s*q**3 + p + z*q**2 + c*q and give s.\nAnswer: -2500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.73 - 4.9. Round h to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -9*y. Suppose 0 = 5*z + q + 39, 0*z - 4*z = 5*q + 48. Let h(p) be the first derivative of -5*p**2\/2 - 2. Give z*h(c) + 4*v(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express p + 4*p**3 - p - 5*p**4 - p - 3*p**3 as q*p**3 + f*p + k + c*p**4 + u*p**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.47 (b) -1\/3 (c) 1.1 (d) 53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 9*z + 319 = 5*b, -3*z + b + 877 = 0. Calculate the highest common factor of z and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 5*a + 2. Let p be z(5). Solve -4*d + 5*g - p*g - 35 = 0, d + 30 = 5*g for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 137617 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*a + 6424 - 514 = 0 for a.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 9:52 PM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 8 = 12. Let s(h) = 27 - 4 + h - 23. Let z(v) = 8*v - 2. Calculate u*z(o) - 3*s(o).\nAnswer: 5*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-5 + sqrt(176)*2)**2.\nAnswer: -80*sqrt(11) + 734","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*x + 3*x + 8*x + 5*x + x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2 - 128*t + 126*t + 25*t**2 - 1. Is 7 a factor of x(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 88 + -88. Suppose 2*h + 115 - 481 = s. Does 11 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**3 + 2*g**3 + 0*g**3 + (-2 + 2 - 1)*(2*g**3 + 1 - 1) - 7*g**3 - g**3 + 4*g**3 + 3*g**3 - 2*g**3 + g**3)*(-3 + 5 + 7) + 0*g**3 + 0*g**3 - 3*g**3.\nAnswer: -48*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.0306 (b) -1 (c) 1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56837559 and 213.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-48)\/(-32)*4\/3. Solve -4*m + 12 = -m, 2 = x*d + 2*m for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**4 - 9*f**3 - 4*f**2 - 6*f + 42. Let g(j) = j**4 + j**3 + j**2 + j. Let k(m) = 4*g(m) + q(m). Find the second derivative of k(a) wrt a.\nAnswer: 24*a**2 - 30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.4, 2\/1569, -51?\nAnswer: 2\/1569","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0747327889 rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2363089000 rounded to the nearest 1000000?\nAnswer: 2363000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 297, 1302, 3039, 5508?\n\"Answer: 366*n**2 - 93*n + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0609 - -62.7609. Let o = -67 + c. Let r = o + 4.319. Round r to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7720801 - -7720801.3189789. Let i = a + -0.319. What is i rounded to six decimal places?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (353\/(-3))\/((-30)\/(-180)). Let s = n - -708. Factor 2\/7*u**3 - 8\/7*u**s + 10\/7*u - 4\/7.\nAnswer: 2*(u - 2)*(u - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 480236 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 39.5 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3268*m**2 + 6528*m - 16.\nAnswer: 4*(m + 2)*(817*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 - i)*(-107 - 123 - 119 + 349 + 10013*i) in the form z + r*i + q*i**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h\/(h**(2\/7)\/h)*h))\/h)**(3\/5)*((h*(h\/(h\/(h\/(h*h**(1\/3)*h))))\/h)\/h*h)**40 assuming h is positive.\nAnswer: h**(-5834\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -7540 divided by -23?\nAnswer: 7540\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5977*b - 246*b + 312690 = -289261 - 137348 for b.\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163*a - 164*a = -37. Calculate the remainder when 143 is divided by a.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i + 5519 - 5389 for i.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 34*v**2 + 767*v + 22379. What is m(-32)?\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19786957 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 16*g**3 + 10*g**2. Let t(z) be the second derivative of z**5\/4 + z**4\/4 + 8*z. Give 10*t(h) - 3*v(h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 407, -4, 5 in decreasing order.\nAnswer: 407, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 2 - 7 = -2*y, -11 = 5*q + 4*y for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**2 - 16*r - 2. Let m(w) = -6*w**2 - 32*w - 4. Give 2*m(n) - 5*q(n).\nAnswer: -2*n**2 + 16*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -62*(-130)\/20 + 5. What is the highest common divisor of 16 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 462773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -0.1, -0.075, 4 in decreasing order.\nAnswer: 4, -0.075, -0.1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**3 - w**2 + w + 1. Let q(x) = -x + 1. Let b be q(0). Suppose -u + 4*d = -3 - b, -2 = -u + 3*d. Let c = u + 2. Calculate v(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1)**5*(z*z**(-1\/10)*z*z)\/((z*z\/z**(-2)*z*z)\/z)*(z**6\/z*z*z*z\/(z**(-2)*z)*z)\/(z\/z**(2\/7))**(-6\/7) assuming z is positive.\nAnswer: z**(6621\/490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**2))\/d**(-10))\/(d\/(d**(-3)\/d))**19 assuming d is positive.\nAnswer: d**(-87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 17*w**2 + 37*w + 15. Let j be k(14). Which is greater: j or -281\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1779 or -3?\nAnswer: -1779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/((-72)\/(-224))*(-366)\/(-1220))\/((-6)\/(-75))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*w**2 + 0 + 0 + 2 + w**2 - 2 + (-5*w**2 - w**2 + 4*w**2)*(12 + 38 - 16).\nAnswer: -43*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o - 2. Let z(u) = -15*u + 11. Let l(h) = -2 - h - 3 + 9*h - h. Let m(v) = 13*l(v) + 6*z(v). Determine -d(y) - 3*m(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -26*w**2 - 395*w - 67. Calculate the remainder when 5086 is divided by q(-15).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5092*m**2 + 1009*m**2 + 4013*m**2 - 1.\nAnswer: -70*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -4, -3, 7, -0.95?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of 49*s**5\/5 - s**2 + 6*s - 35. What is the second derivative of b(w) wrt w?\nAnswer: 588*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a millimeter in micrometers?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 130 - ((3 - 8) + 3 + -3). Let l = -135 + f. Solve k + 15 = -4*j, l = -4*k - 3*j - 2*j - 27 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*o**2 + 145*o + 2988 - 2*o**2 - 3*o**2 + 16*o**2 + 2*o**2 wrt o?\nAnswer: 12*o + 145","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -444?\nAnswer: -435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 11*h**2 - h - 2. Let y be c(-1). What is the greatest common divisor of 25 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) - 3*-1*sqrt(187))*-6)\/(-2*sqrt(396)*-4).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 454 and 1556539.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 1:10 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -7*l**3 + 2*l**2 - 15*l + 2. Let d(s) = s**3 - s**2 - 1. Let n(t) = -2*d(t) - f(t). What is the second derivative of n(g) wrt g?\nAnswer: 30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/117)\/((-371)\/103509) + -24\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k - 5. Suppose 0 = 2*v + 3*z + 1 + 3, 3*z + 10 = 4*v. Suppose -2*g + 7 = -v. Calculate t(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/360 and 57\/120280.\nAnswer: 1082520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5*k = -37, 0 = -3*i + 4*k - 3*k - 17. Let j = 0.155 + 0.145. Which is the third smallest value? (a) 4 (b) i (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 3\/4, -0.78, -2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 29102737?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6795?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4175*a**4 + 71*a**2 - a - 8?\nAnswer: -100200*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -1140?\nAnswer: -1140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*l**3 + 1134*l - 35571 wrt l?\nAnswer: 6*l**2 + 1134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 84188271?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Express 2*s + 3*s**4 - s**3 + 63*s**2 + 28*s**4 - 29*s**4 + 3 as a*s + c + y*s**3 + f*s**4 + d*s**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2457*p**2 + 242*p - 127. Is m(-22) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1629\/(-180) - -9)*-12. What is the closest to -1\/4 in 4\/9, 3, x, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*(-6)\/27)\/((-20)\/6).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -13*x**2. Let t(s) = -1167*s**2. Calculate u(t(n)).\nAnswer: -17704557*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of 8*d**3\/3 + d**2 - d + 4. Does 9 divide l(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, o: 1}. What is prob of picking 3 n?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.14, -3754, 0, -5\/7?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-1 - -1) - (86 - 77)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -3*q**2 - 59*q - 35. Determine f(-19).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14585 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14222 (base 5) to base 3.\nAnswer: 1121222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, 5, 60, 153, 296?\nAnswer: 501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 14*l**2 - 4*l - 54. Calculate a(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 8*q - 5*q)*(9 + 4 - 5)*(66 + 117 + 110).\nAnswer: -23440*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 85671.95 nanometers in millimeters?\nAnswer: 0.08567195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -26 (b) 2 (c) 0.46 (d) 0.2 (e) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 4*u - 6. Let a(w) = w**3 - 34*w**2 - 37*w + 92. Let c be a(35). Is 22 a factor of (913\/c)\/(1\/u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -968 + 1203. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -29 and -10.4998747.\nAnswer: -39.4998747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 236690, 1, -37, 4 in ascending order.\nAnswer: -37, 1, 4, 236690","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 198458332?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12516 + 67918. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*w + 6174 - 6720 = -q + 2*q, -4*q - 8 = 5*w + 31 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4356759 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(76))*2*-4 + 5 + sqrt(76) + 1 + -1)*-3*1.\nAnswer: 9 + 42*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000036584 rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12894 - 1389 + 8309 - 14382 - 12703 - 10948)*(5*m**2 + 0*m**2 - 4*m**2) to the form l + z*m**2 + b*m and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -18*(14\/(-4) + 3). Is (-6)\/a + 1270\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, y: 3, q: 6, t: 2, c: 1, z: 4}. Give prob of picking 1 z, 1 y, and 1 c.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -9*t**3 + t**2 + t + 1. Let p(w) = w**2 + 5*w + 5. Suppose -5*o + 1 = 11. Let d be p(o). Give s(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*m + 827 - 611 = 0. Let y = -4 - -9. Sort m, 4, y, 1.\nAnswer: 1, 4, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -161.8261 * -0.4\nAnswer: 64.73044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 9*d**2 - 12*d + 22. Let o be x(-7). Calculate the highest common factor of 72 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1015 + 5*b**3 - 19*b - 1018 - 83*b**2 + 81*b**2 + 20*b**3 to the form h*b**3 + g + p*b + f*b**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from fnn?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/4 - 4851*k\/4 + 65042105\/2.\nAnswer: -(k - 9235)*(k + 14086)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-4*sqrt(119)*-2 + (1*sqrt(119) + sqrt(119))*-5)\/(4*(sqrt(7) + sqrt(70)\/(sqrt(40)\/sqrt(4)))).\nAnswer: -sqrt(17)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27073050 to the nearest integer?\nAnswer: 5203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -291 times 8189?\nAnswer: -2382999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46812*h + 500 = 46814*h - 98*u, 0 = 3*h + 4*u + 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1306677260?\nAnswer: 2, 5, 7, 9333409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 27469 and 1000147.\nAnswer: 1027616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8, 43, 88, 149, 232, 343, 488?\n\"Answer: s**3 - s**2 + 31*s - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6480769?\nAnswer: 151, 167, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 0*h + 0*h**2 - 4*h**2 + h - 1 + 5*h**2. Let y(u) = 7*u**2 + 5*u - 5. Determine -4*q(r) + y(r).\nAnswer: 3*r**2 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2495\/34 greater than or equal to 74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1401 + -19784?\nAnswer: -21185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*0.3742.\nAnswer: 0.7484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 723 != 729?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 72976*b**3 + 54873*b**2 wrt b.\nAnswer: 437856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203458.\nAnswer: 2, 23, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (23\/(-161))\/((-1)\/14*-4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -1322, -4 in decreasing order.\nAnswer: 13, -4, -1322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 63197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 2*l - 70. Let p = -10 + l. Does 3 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 665316 is divided by 219.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 11*i - 16*i. What is the greatest common factor of 2 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.8 - -0.3. Sort -0.2, m, 5\/4 in decreasing order.\nAnswer: 5\/4, -0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6774114.\nAnswer: 2, 3, 1129019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y + 12*y - 1220 = 0. Let f = y + 2198\/9. What is the biggest value in f, 0, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**4 + g**4 + 2*g**4)*(-289*g + 142*g - 284 + 146*g).\nAnswer: -2*g**5 - 568*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27.3? (a) 8 (b) 0 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14 + -5?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 68 + -68. Put -1\/2, -2\/9, 4\/7, a in ascending order.\nAnswer: -1\/2, -2\/9, a, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from twvjj. What is prob of picking 1 t and 2 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7105.\nAnswer: 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 50898, -2, -17 in descending order.\nAnswer: 50898, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**4 + z**4 + 2*z**4)*(1 - 12 + 15*z - 13*z).\nAnswer: 2*z**5 - 11*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 5:58 AM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111011010110 - 10?\nAnswer: -111011011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/66)\/((-3)\/(-153))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f + 20\/7*f**4 + 3\/7*f**2 + 31\/7*f**3 + 1\/7 = 0.\nAnswer: -1, 1\/5, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 3 - 3)*(38*p**2 - 58 + 68911*p**3 + 36*p**2 - 74*p**2 + 58).\nAnswer: 137822*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1863*k - 92897 = -2176*k for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005153 to six decimal places.\nAnswer: -0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/523 - 146969\/3138. Let m = -47 - t. Sort m, 0.1, 1 in decreasing order.\nAnswer: 1, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/70*(-2)\/(-5).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32 + 37. Let h(l) = 8*l - 8. Let i(u) = 7*u - 7. Let s be (18\/14)\/(18\/(-84)). Determine c*h(q) + s*i(q).\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 30*y**2 - 2*y + 1. Calculate the remainder when u(1) is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in 4, -1\/2, 1053.7504?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4254 is divided by 76?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4 - 10*p**2 + 27*p + 6 - 10*p - 12*p - 5*p**3.\nAnswer: -5*(p - 1)*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2908+-54.34\nAnswer: -2962.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 6*g**2 + 5*g - 5. What is p(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14.865006069 - -14.865. What is s rounded to seven dps?\nAnswer: -0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ubksual. Give prob of picking 1 u and 1 s.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4655*d**3*j**3 + 2024*d**2*j**3 - 780*d*j**3 + 4*d*j + 169*d - j**2 + 2*j + 1 wrt d?\nAnswer: 27930*d*j**3 + 4048*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 9:37 AM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5065?\nAnswer: 5, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45 + -44.8. Which is the closest to 0? (a) j (b) 6 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32\/173 - -54520\/2941. Do z and 17 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*b**2 - 26*b**4 + 5*b - 21*b**2 + 45*b**2 wrt b?\nAnswer: -624*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.2? (a) -23795 (b) 1\/3 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 252*m - 1307 = 2725 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2384\/3 + 749. Let h = u - -941\/21. Are h and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2358*g + 21242. Suppose 5*s - 82 = -2*a, 0 = 6*s - s - 4*a - 76. What is the least common multiple of s and z(-9)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 145 and 6315707?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 19 = -r, 0 = r + r - 8. Suppose -5*c = -0*w + 5*w, 2*w = c + o. Solve -w - 1 = -s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*n - 31 - 21 + 87*n - 45*n.\nAnswer: n - 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.5 (b) 5\/12 (c) -0.012 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 63486*v - 56. Suppose 3 = -6*w - 21. Let s be i(w). What is s rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 168*s + 2762. What is b(-18)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**5 - 2*z**4 + z**3 + 2*z**2 - 2. Let c(b) = 3*b**5 - 7*b**4 + 4*b**3 + 7*b**2 - 7. Let y(t) = 6*c(t) - 21*x(t). Determine q so that y(q) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -881 (base 10) to base 12\nAnswer: -615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 6*c + 6. Let x(g) = -2*g**2 + 13*g - 13. Let q be 2\/(-7) + 400\/(-70). Let p(l) = q*x(l) - 13*s(l). Let v(i) = 4*i. What is v(p(z))?\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 29045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 - -16. Let o be (-15)\/g*(7 + -1). Let w(l) = -l**3 + 10*l**2 - 8*l + 5. Is w(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 26 = 6. Let a = 0.243 - 0.243. What is the nearest to a in m, 1\/3, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -6095*c**2 + 36576*c - 36 = 0?\nAnswer: 6\/6095, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 6 + 8 - 18 + 2*i + 1. Determine o(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - 1 - (1 + -5). Suppose 6 = -2*w - 3*c, 5*w - y*c - 5 - 5 = 0. Let g be 3 - (-3 - (-11 - -1)). Put -5, w, g in decreasing order.\nAnswer: w, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.03 rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 571 - 252?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 z when three letters picked without replacement from {n: 7, m: 1, z: 2, j: 4, t: 1, s: 4}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 648 and 756?\nAnswer: 4536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -40784, -81782, -123040, -164558, -206336?\n\"Answer: -130*s**2 - 40608*s - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 357826039?\nAnswer: 3739, 95701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 less than 0.0583?\nAnswer: 0.0283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**3 - 3 - 3 + 4 + (-3 + 6 + 3*z - 4*z)*(15 - 15 - 45*z**2) to s*z + b*z**2 + j + n*z**3 and give b.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 31628486 a multiple of 1997?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2350*d + 2041*d - 56*d to p*d + c and give p.\nAnswer: 4335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of 0*y + 0*y**4 + 0*y**5 + 5\/7*y**7 - y**3 + 0*y**6 + 3 + 0*y**2. What is the third derivative of d(q) wrt q?\nAnswer: 600*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 0.19 (c) -0.0483 (d) -2 (e) 2\/19 (f) 4.5 (g) 0.1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 5*r + 48. Let h be j(-9). Solve -h*o + 6 + 3 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i + 1. Let l(x) = 2*x**2 - 77*x - 614. Let s(c) = 5*h(c) + l(c). What is the derivative of s(t) wrt t?\nAnswer: 4*t - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 529324?\nAnswer: 2, 132331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, x: 1, c: 1, g: 1, v: 1}. What is prob of picking 1 x and 1 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-83689*q - 456 + 456 + 2673*q - 4872*q)*(3*q + 0*q - 4*q).\nAnswer: 85888*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + -12 + 0 - -2. Let n be (2 + u)*(-3)\/6. What are the prime factors of 6\/(((-9)\/(-2))\/n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*k - 472 = -k, 4*k - 8 = 0. Let o = -274 + v. Calculate the greatest common factor of o and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77701?\nAnswer: 13, 43, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - w = 17, -3*w - 10 = 3*r - 49. What is the lowest common multiple of 50 and r?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4802610709 to the nearest integer?\nAnswer: 69301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 28808645081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 3*d - 20. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (84\/((-476)\/17))\/(1\/4)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 + 15 - -23 - (13 + 0 + -4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/108 and -83\/72.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140740?\nAnswer: 2, 5, 31, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 195670384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*c = 314*c - 45790. Does 19 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(1125) + -4)*2 + -2 + sqrt(90)\/(sqrt(2) + sqrt(90)\/sqrt(5) + sqrt(18)).\nAnswer: -7 + 213*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/8574285 and -11\/80040?\nAnswer: 68594280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106 divided by -1.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 310, 1385, 3174, 5677?\n\"Answer: 357*a**2 + 4*a - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5232679, -5232629, -5232579?\nAnswer: -5232529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/192 and 7\/36.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2724770257 to the nearest integer?\nAnswer: 1397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -4*g**5\/3 + 769*g**4\/2 - 27792*g**3 + 10368*g**2 = 0.\nAnswer: 0, 3\/8, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1091*w + 1145*w - 2240*w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uevvvuvvuvve. Give prob of picking 2 u.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 84, 6, -1, -3, 34.\nAnswer: -21, -3, -1, 6, 34, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 34 = -3*t, 0 = 2*t - 5*f + 2 + 7. Calculate the least common multiple of 2 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002537806729 rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -17*w + 15. Let u(s) be the first derivative of -9*s**2\/2 + 8*s - 9. Let m be (-64)\/(8\/2) + 1. Let q = 9 + m. Determine q*h(i) + 11*u(i).\nAnswer: 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-12)*-1)\/((-14)\/(-56)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 2*w + 5*w - 144, 5*w - 189 = -4*x. What is the least common multiple of 3 and x?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10b125d (base 14) in base 9?\nAnswer: 15864586","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (737 + 2*j**2 + 747 - 18*j - 1480)*(-3 + 2 + 5) to s + u*j**2 + d*j and give d.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**3 + 69*y**2 + 29*y + 2. What is o(-34)?\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 544945269 divided by 2013\nAnswer: 270713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f + 5*f - 1566 - 1609 + f**2 + 3460 to the form q*f + p*f**2 + g and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2885802557?\nAnswer: 11, 29, 9046403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus 4061813935?\nAnswer: 4061813934.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45 - (157 + 46 + -104).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/4 - 3 - (-2 - 1). Let g(n) = -9*n**2 + 4*n - 1. Let s(h) = 4*h**2 - 2*h. Let w(u) = k*g(u) - 7*s(u). Solve w(p) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 33180 + 23183 = 3*i, -x + 1 = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 61*u**3 - u**2 - 5*u + 22. Calculate the remainder when l(3) is divided by 55.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/58680608 and -127\/154240?\nAnswer: 1173612160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27583625?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -10*1\/3*9\/(-6). Which is the third biggest value? (a) 2 (b) -1\/7 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.3 less than 87742513512?\nAnswer: 87742513518.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2724.1 in 1\/2, 0.4, -2, 6, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -825*o**2 + 2*o**4 - 3861*o**3 - 220*o**2 + 3936*o**3 wrt o.\nAnswer: 48*o + 450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 195*j**4 - 2*j**3 - 1099*j**2. Let i(p) = 3*p**4 + p**3 + 2*p**2. Let o(k) = b(k) - i(k). Find the third derivative of o(l) wrt l.\nAnswer: 4608*l - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2622+2.71\nAnswer: 2624.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sww when three letters picked without replacement from ssswswssssssws?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 y when two letters picked without replacement from {p: 5, c: 1, x: 3, y: 4}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -17840*s + 1676954. Determine i(94).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1.7271282 months?\nAnswer: 0.0014392735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fnzr when four letters picked without replacement from {z: 3, f: 4, r: 1, n: 3}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1329, 309, 3049, 6897, 11859, 17941, 25149, 33489?\nAnswer: 42967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.099 - 5.4. Let p = 0.201 + i. Put 0.5, 4, p, -4 in decreasing order.\nAnswer: 4, 0.5, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6*(2 - (-9)\/(-6)). Let r = t - -25. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 10 = -n - 0*v, -16 = 2*n + 5*v. Suppose -h - 5*s + 41 = -51, n*h + 2*s = 216. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.3 * 95.\nAnswer: 123.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1056 - 501. Calculate the greatest common divisor of w and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2708880769.\nAnswer: 7, 1877, 29453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 12:09 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**3 + 755080*i**2 + 35618250928*i - 1497298796448 = 0. What is i?\nAnswer: -94406, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/606 and -5\/8.\nAnswer: 2424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 + (12 - (-20 - -16)) + 3.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**3 + q + 1. Let c be ((-171)\/76)\/((-6)\/8). Suppose -j = c*j - 12. Let h(x) = 4*x**3 - 2*x - 3. Give j*h(i) + 7*l(i).\nAnswer: -2*i**3 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = -3*o + 8*s + 167, 0 = 4*o + s - 241. What is the remainder when 167 is divided by o?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19918 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/15)*(c\/(c\/c**0))\/c)\/(c**(-3)*c*c\/((c\/(c**(-4)\/c)*c)\/c)) assuming c is positive.\nAnswer: c**(92\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -947 + 970 + (-1 - 79) - (25 - 1).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3075 + -0.0075. Let m be 22\/99 - 1270\/126. Let p = 10 + m. What is the fourth smallest value in a, 0.4, p, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*a + 2 - 1)*(4*a - 2*a + 4 - 1).\nAnswer: -4*a**2 - 2*a + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4\/88206487?\nAnswer: -4\/88206487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1045)\/10 - (-3)\/(-6). Let h = 42 + p. Do -62 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 4*s = -580, -6*s - 925 = -3*b - s. Suppose -3*l - 57 + b = 0. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1457962 and -36.\nAnswer: 1457926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, m: 1, k: 2, g: 4, l: 7, x: 3}. Give prob of picking 2 g, 1 m, and 1 k.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r**2 - 297. What is the remainder when z(-15) is divided by 95?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/(63\/6 - 10). Calculate the greatest common factor of 63 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0 (b) -51 (c) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123839559?\nAnswer: 3, 157, 87643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -111.55 to the nearest integer.\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -j + 0*j - 19*j + j as r*j + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2 = 13. Let p = -1683 + 1687. Suppose -i*r + p*r = 0. Solve 0*s - 3*s = r for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 5*g = -4, c + 4*g - 2 + 7 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 + 2*v**2 + (-2*v**2 + 3*v**2 - 2*v**2)*(1 - 3 + 0) + v**2 - 118 - 140 + 38 as q*v**2 + y*v + p and give p.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 10 + 9 = 5*l, 3*l - 21 = -3*h. Differentiate -h + 1 + 0 - 2*w**2 - 2 with respect to w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t. Let y(d) = 2*d**2 - 19 - 21 + 40. What is v(y(r))?\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 51257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1144262 - 1547316 = -193*s. What are the prime factors of s?\nAnswer: 2, 19, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mop when three letters picked without replacement from pmopppopoppooppopop.\nAnswer: 77\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-3 + sqrt(3) + sqrt(6)\/sqrt(2) - (sqrt(243) + -1 + sqrt(243))))**2*4.\nAnswer: 256*sqrt(3) + 3088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 174 and 1.2.\nAnswer: 208.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2082248, 2082197, 2082146, 2082095, 2082044?\n\"Answer: -51*u + 2082299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61457\/59796 - ((-14)\/(-21) - (-34)\/(-24)).\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(6\/(-2))*(-5)\/(-10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 8:27 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, p: 6, n: 4}. Give prob of picking 1 n and 1 p.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 28 + 0 - (-1 - -4). Suppose -2*q + 0*f + 5 = -f, v = -3*q - 5*f. Is -1\/14 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/9 smaller than 522.48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 3*l + 4 = 0, -2*f = f - 3*l + 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 3. Suppose 2*b + 2*v = 8, -8 = -w*b - 2*v + 18. Calculate the highest common factor of 4 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**14\/r**(-16\/5) assuming r is positive.\nAnswer: r**(86\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -4*j**3 + 10*j**2 + 12*j + 1. Let o(f) = -4*f**3 + 11*f**2 + 13*f + 1. Let p(h) = -5*o(h) + 6*y(h). Let k be p(-1). Solve -k*c - 3 = 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -210, -177, -158, -159, -186, -245?\nAnswer: -342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-9)*((-1020)\/(-50))\/(-17).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 16.1. Which is the third smallest value? (a) x (b) -0.2 (c) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 55, 103, 165, 247, 355?\nAnswer: 495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -38 in -3\/7, 468, -17.09, 1?\nAnswer: -17.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 4*m**2 + 6*m + 8. Let j be x(-5). Let p(o) = 2*o**j + 1 + 3*o**2 + 166*o - 166*o. Let z(t) = -3*t**3 - 4*t**2 - 2. Give -7*p(a) - 5*z(a).\nAnswer: a**3 - a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 50561 (base 12) in base 3?\nAnswer: 12022022101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1675287, 0, -5.\nAnswer: -5, 0, 1675287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence md when two letters picked without replacement from {d: 1, m: 2, o: 1, y: 1, f: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46412 - 46416 + 26*v**3 + 92828.\nAnswer: 26*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 157?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 34309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 776*d**3 - 2*d**2 + 137*d - 136. What is r(1)?\nAnswer: 775","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 83.2 (b) -5 (c) -2\/9 (d) -0.1 (e) -1\/14 (f) -20\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -m**5\/270 - m**4\/36 + 4*m**3\/27 - 8*m**2. Find p such that u(p) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 6682?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -212 - 3?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6402 and 5044?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z - 12*z = 10*z + 276 for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1645 - 175b3?\nAnswer: -19038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8975860?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 3*x + 2*x**2)*(2 - 5 + 1)*(-5*x + 4*x - x).\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1)**(-26) assuming d is positive.\nAnswer: d**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 3:25 AM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22 or -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -11 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.9348 and -0.3.\nAnswer: -1.2348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 17*f**2 + 45*f + 433. Calculate the remainder when 2006 is divided by w(-11).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -2, -29, -64128 in ascending order.\nAnswer: -64128, -29, -2, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 518899?\nAnswer: 263, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 79 = 25. Calculate the smallest common multiple of (-4)\/18 - 74\/(-9) and d.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -f**5\/3 - 4418*f**4\/3 - 1342723*f**3 - 1051469728*f**2\/3 - 3102268100*f\/3 + 1385923472 = 0.\nAnswer: -3291, -562, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3102*b**2 - 825*b**2 + 1 + 2 + 4 - 4.\nAnswer: -3927*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -4*o**2 - 1. Let a be b(1). Let g be a\/(-3)*135\/75. Suppose 75 = 4*p + 3*z, -g*p - 15 = 4*z - 73. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 478?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5252*c**3 + 3354*c**2.\nAnswer: -31512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13721099.49ms in weeks?\nAnswer: 0.022687003125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 499086, -5, -9 in descending order.\nAnswer: 499086, 3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 218183640 a multiple of 1861?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -p**2\/2 - p + 1. Let z = 6 + -3. Suppose -l = 1 + z. What is i(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-1\/3))**2\/(d\/d**(-1))**(-19))\/(d**5\/d**(1\/3)*d\/((d\/(d\/d**(-2\/5)*d))\/d)*d**(-3)) assuming d is positive.\nAnswer: d**(178\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1460.452 to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**3\/7 - 3*g + 18\/7 = 0. What is g?\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 - 409461242.\nAnswer: -409461242.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -496.588 less than 0.008479184?\nAnswer: 496.596479184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 100111101110101011001?\nAnswer: -100111101110101010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.04 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 266659000 a multiple of 4625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6644392 to the power of 1\/3, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 5*h**2 - 18258*h + 54748. What is z(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5672 and -93?\nAnswer: -527496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 - -43. Let j = 3 + 4. Let b = j - -5. What is the remainder when v is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 38 + (67 - 24 - 6)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 145 + -147. Suppose 4*f + 1 = -4*w - 3, -27 = -5*w + 3*f. Let j(p) = -p**2 + 2*p + 2. Let o be j(w). Sort o, u, 1.\nAnswer: u, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 (base 11) in base 16?\nAnswer: -3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/4 - 541*d**2\/4 - 4255*d\/4 + 4797\/4.\nAnswer: -(d - 1)*(d + 9)*(d + 533)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*n**2 - n + n)*(5 - n - 5).\nAnswer: -18*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 160722468 a multiple of 324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*34308.\nAnswer: -10292.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (68138\/63)\/((-18)\/(-162))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5613653 at most as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 2*z + 2. Let q be r(-2). Suppose 5*j = -3*i + 2 + 717, i - 287 = -q*j. What are the prime factors of j?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1071 divided by 3.\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -16*m**3 + 29*m**2 + 2*m - 5. Let l(y) = -22*y**3 + 30*y**2 + 3*y - 6. Determine 3*l(v) - 4*o(v).\nAnswer: -2*v**3 - 26*v**2 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20257217*k**3 + 40175990.\nAnswer: 60771651*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3defd1 (base 16) to base 15.\nAnswer: 552a5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48483 - 9093 = -2280*y + 6264 for y.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 22*n + 1231. What is o(-55)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -64 + (-55 + 140 - 2).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -617 less than 22.4?\nAnswer: 639.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + v - 2. Let g be m(2). Suppose -g*u = -31647 - 1953. What is u rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + 0. Let m = -4 + 8. Suppose -b - 4*k = -19, -m*b + 2*k - 5 = -3*b. Solve 2*h - n = -2*n + b, -4*h = -s*n + 29 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 346 and 59207?\nAnswer: 20485622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -5 + (0 - -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94398, 96258, 98118?\nAnswer: 99978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r + r + r - 4*r**2 - r**3 + 6 + 2*r. Does 7 divide y(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -15*r**5 + 250173*r**4 + 1701855*r**3 + 250671*r**2 - 6606936*r - 5405940 = 0?\nAnswer: -6, -9\/5, -1, 2, 16685","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14251 - -35140. What is the hundreds digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2 - 10*v. Let s(a) = -27*a. Calculate s(q(x)).\nAnswer: -54*x**2 + 270*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228*m**3 + 684*m**3 - 231*m**3 - 230*m**3.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 3. Let y = -19\/39 + 2\/13. Sort j, y, -2\/11 in descending order.\nAnswer: j, -2\/11, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of 4*m**7\/35 + 2*m**3 + 27*m**2. Differentiate l(g) with respect to g.\nAnswer: 96*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -u**4\/12 + u + 7. Let v(t) = t + 29. What is i(v(h))?\nAnswer: -h**2 - 58*h - 841","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w + 5. Let c be f(2). Suppose 0 = -x - 2, -c*x = -b - 4*b + 1931. What is the greatest common factor of 35 and b?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 4*y. Let z be v(3). Suppose -42 = z*k - 5*k. What is the remainder when k is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) -1 (c) 71\/7 (d) 202 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -787*g + 2 + 394*g + 399*g - 12 in the form y*g + n and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -14*r - 111. Let h be v(-9). Let m be (-3 - -6 - 2)*(-15 + h). Put m, -13, 7 in decreasing order.\nAnswer: 7, m, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86154 is divided by 130.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 2*a - 0*a + 18, 17 = 5*y - 3*a. Let d be (0\/(-2))\/((-12)\/y). Solve 2*n + 0*n + 10 = d, 5*v + 25 = -2*n for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -730*k**2 - 1195*k - 1206. Determine n(-1).\nAnswer: -741","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 0.4 (c) -2\/15 (d) 2606 (e) -0.5 (f) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**3\/4 + 2352*b**2 - 141331*b\/4 + 65961\/2 = 0.\nAnswer: -9423, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -11500 - 4*v + 11505 - v. Let p(g) = -14*g + 13. Let h(t) = t - 1. Let f(q) = 6*h(q) + p(q). Calculate 5*f(k) - 7*i(k).\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 + 18 + 9 - 2*w**2 + 6*w**3)*(10 - 9 - 13) - 3*w**3 - 4*w**2 + 4*w**2.\nAnswer: -75*w**3 + 24*w**2 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -9 + (-12)\/(-4 - -8). Let b(g) = -g**3 - 11*g**2 + 8*g - 14. What is the remainder when b(h) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**4 - 2 + 2 + ((2 - 4 + 4)*(2 - 2 - 1) + (1 - 1 - 2)*(-662903 - 661227 + 1306279))*(2*n**4 + 0*n**4 - 3*n**4).\nAnswer: -35699*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 4.38 (c) 0.5 (d) -292623\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**3 - 6*a**2 + 3*a + 2. Let q be c(-5). Let t = q - 82. Let h = -44 + 40. Put 3, h, t, -2 in decreasing order.\nAnswer: t, 3, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 8. Let o = -21 - -20.93. Let z = o + 1.07. Which is the nearest to 0? (a) z (b) 0.4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23606\/5 - 4721. Which is the nearest to 0? (a) 2.9 (b) j (c) 0.1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/11? (a) 1\/6 (b) 0.3 (c) -461 (d) 4\/37 (e) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 + 475*x + 2*x**2 - 479*x + 3)*(x - 3*x + 8*x).\nAnswer: 6*x**3 - 24*x**2 + 18*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**2 + 10*j - 1. Let d be x(4). What is the highest common divisor of 28 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**3 + 4*z**3 - z**3)*(94193 - 94193 - 382*z**2).\nAnswer: -1146*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus -0.10247670387?\nAnswer: -1.89752329613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 - 1 + 1 + (-2*h**2 - 3*h**2 + 4*h**2)*(-4789 + 11133 - 5532))*(-3*h**2 + 3*h**2 + 2*h**2).\nAnswer: -1626*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 23. Let u be ((-4)\/w)\/((-3)\/(-21)). Solve 5*s + u = -8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 5.9. Suppose -w - 4*h = 13, -4*w - 4*h - 2 - 14 = 0. Let l be (27\/45)\/(2\/(-10)) - w. What is the biggest value in 2\/77, i, l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112 and 840?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) -20 (c) 2 (d) -2 (e) -3 (f) -1\/4 (g) 25582\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 6*c**2 + c - 17. Calculate j(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-10 + 22 - 28) + 15\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 277099810 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: Let p(x) = -6*x - 29. Determine p(-18).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -15*q**2 + 9*q - 6. Let i(a) = -164*a**2 + 102*a - 68. Let j(p) = -6*i(p) + 68*u(p). Let f(v) = -3*v**2. What is j(f(h))?\nAnswer: -324*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3 + 12*w**2 - 9*w.\nAnswer: -3*w*(w - 3)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14294 and 512.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 p when four letters picked without replacement from {x: 4, v: 1, p: 3}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/1)\/((-3520)\/2112))\/((-3759)\/(-70)).\nAnswer: 2\/179","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 11*s - 30. Calculate i(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 14 + (-12 - 13)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9903191281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 5. Let p = v - -2. Let s = -2 - -4. Which is the smallest value? (a) -4 (b) s (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -117093.0918 rounded to 0 dps?\nAnswer: -117093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80 and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven thirds of a week?\nAnswer: 23520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 330779 and 268?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 398, -687, -5 in descending order.\nAnswer: 398, -5, -687","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17682850 and 275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 83*a - 5. Let n be b(4). Suppose -3*j = j + 12, -5*j - n = -2*m. What is the units digit of m\/18*(-6)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 164*t - 160*t - 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 - 30. Let k be (-7)\/b + 4\/6. What is the first derivative of -h**k - 8*h**3 - h**3 + 3 wrt h?\nAnswer: -30*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 9:58 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 - 1.6. Let s = -1.12 - x. Let z = 20927 - 20928. What is the third biggest value in z, 0.3, 4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3928919 < -3928919?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - 60*g + 22. Let a be y(-55). Calculate the greatest common divisor of 2241 and a.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 5*r - r + (-3 + 0 + 1)*(-4*r + 0*r - r) + (3 + 1 - 3)*(-9*r - 4 + 4))*(0 - 4 + 1)*(r - 3*r + 0*r).\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6*(-9 - (1 + -56)). Calculate the highest common factor of k and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xkq when three letters picked without replacement from xxklgwlkqwqwqwgw?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2635 - -2647.21. Let o = t + -0.21. Let x = o + -15. What is the third biggest value in 0.5, x, -0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11927848, -11927834, -11927822, -11927812, -11927804, -11927798, -11927794?\nAnswer: -11927792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -100 (b) 0.1 (c) -1\/26 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iylyipmplipp. Give prob of picking 1 p and 1 m.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 415 - 658 = -121*h - 8834 for h.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7979, -7978, -7977, -7976, -7975, -7974?\nAnswer: -7973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 31 (b) 66729 (c) -4 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16403328 and 720.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k**3 - 14*k + 16*k - 4*k**3 + 3*k**2 to d + r*k**2 + u*k + x*k**3 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 16+-7.4\nAnswer: 8.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10078?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x = -11*x - 1719. Let m = x + 125. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -4*r**2 + 614*r - 23556. Let a be s(79). Let m(t) = t**3 + 7*t**2 - 8*t + 2. Let y be m(-7). Suppose -y + 19 = 3*d. Which is smaller: a or d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -3*o - 45 + 42, 5*w - 4*o = 4. Suppose w = 7*x - 4666 - 4616. What are the prime factors of x?\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1110 - -4?\nAnswer: 1114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*(4 - 8\/4). Calculate the smallest common multiple of (j\/5)\/(((-20)\/(-4))\/(-100)) and 24.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*n - 4 + 4 + 0 + 0 + 2*n + 0*n + n - 3*n + (1 + 2 - 4)*(-2 - n + 2) - 8*n + 2*n + 2*n + 0*n + n - 3*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus 40.8?\nAnswer: -37.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 6:07 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 10 = 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 55. Let t(w) = -55. Let u(m) = -5*t(m) - 6*x(m). Let b(f) be the first derivative of u(f). Let a(s) = -2*s**2. Give b(a(h)).\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.44 (b) -2\/9 (c) -5\/3 (d) -4 (e) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -65*j**2 + j + 30. Let x(b) = 119*b**2 - 3*b - 56. Let i(r) = 11*t(r) + 6*x(r). Let y = 5 - 11. Determine i(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m**3 - 13*m**2 + 3*m + 6. Let w be r(3). Sort -4, w, -5, 5 in ascending order.\nAnswer: w, -5, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1569 - -1569. Factor 0*m**2 + w - 1\/4*m**5 + 0*m**4 + 1\/4*m**3 + 0*m.\nAnswer: -m**3*(m - 1)*(m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*v**6 + 1397325*v**3 + 2*v**2 - 6201473*v wrt v.\nAnswer: 240*v**3 + 8383950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4*v**3 - 65*v**2 + 7*v - 48. Calculate the remainder when l(17) is divided by 86.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-112138)\/3178 + (-24)\/14?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -3 (b) 0.4 (c) -46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*q + 9*q - 6*q + (-6 - 15 - 1)*(-5*q + 3*q + 4*q) + (-3 + 5 - 4)*(0 + 2*q + 0).\nAnswer: -60*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236781*i + 236799*i = 414 for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + q**2 + q - 1. Suppose 7*k - 127 + 20 - 383 = 0. Let t(m) = -20*m**3 - 14*m**2 - 14*m + 14. Give k*s(x) + 5*t(x).\nAnswer: -30*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -14*v + 12*v + 49, -2*v - 23 = -3*s. What is the remainder when 70 is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, x: 2, a: 2, e: 1, h: 10, p: 2}. What is prob of picking 1 h and 1 a?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 4:58 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 63*v - 805. Let t be m(-16). Let h(g) = -2*g**3 - 5*g**2 - g + 3. Let u be h(-3). Suppose 0 = -u*d + 6*d + t. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (52\/(-28) + 2)*-3. Let i = 4.3 + -3.3. Let r = i + -1.2. Which is the second smallest value? (a) z (b) -4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((270\/(-4))\/(-9))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-22)\/(-8) + 15\/(-20). Suppose -d*v + 5*v - 12 = 0, 4*b + 5*v = 52. Calculate the highest common divisor of 88 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 492098?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -71.6140005 rounded to two decimal places?\nAnswer: -71.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 551209, 551207, 551205?\n\"Answer: -2*b + 551211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 3:14 PM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*r - 2082 + 704 + 690 + 688 + 247*r.\nAnswer: 267*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + 9. Suppose -27 = -5*f - o, -4*o = 3*f - 1 - c. Solve f*j - 7*j + 4 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10\/59 - -188\/413. Suppose 4*l = -28 + 4. Let x(h) = -h**2 - 5*h + 2. Let v be x(l). What is the second smallest value in 1\/4, v, k?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -271 (base 11) in base 7?\nAnswer: -635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pekenknenekenpppe. Give prob of picking 3 p.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 238 and 98?\nAnswer: 1666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42\/1891 + -239903\/158844. What is the common denominator of h and -3\/22?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1351\/(-4439))\/((-21)\/6)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2, 92, 372, 938, 1886, 3312?\n\"Answer: 16*u**3 - u**2 - 19*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 15. Let b = -5.99999994 - j. What is b rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75405*-0.3.\nAnswer: -22621.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4871574 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2326315 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k + 17. Let o = 7 - -4. Suppose -r + o = 1. Let b be l(r). Solve 2*v - 3 = b for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**3 - m**3 - 3*m**3)*(-2 - 4 + 2)*(-2 + 2 - 3)*(1 + 0 + 0) - 3*m**3 + m**3 - 6*m**3.\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 55 = x. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -3\/5 (b) -9 (c) 4 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 170 and 19591610?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 720175*a - 1440347*a - 2 + 720167*a.\nAnswer: -5*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-91)\/(-104) - 1)\/(4 + 0 - 5)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 40.000086 + 0.1.\nAnswer: 40.100086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 23025.054 months?\nAnswer: 19.187545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 + -8 + (-144492)\/(-6) + -1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**3 + 1150 + 2*k + 4*k**2 - 2298 + 1144)*(4 + 4 + 7).\nAnswer: 60*k**3 + 60*k**2 + 30*k - 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 3*v - 1. Calculate the remainder when (-567)\/(-7) - (-2 + 5) is divided by y(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4062 and 31142?\nAnswer: 1354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2 - 35*u + 150.\nAnswer: -5*(u - 3)*(u + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (-5 - -9) - 5. Is (12605\/10)\/(l\/(-6)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3462 (base 8) to base 5.\nAnswer: -24332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 93017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -24674367 - -2?\nAnswer: -24674365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m + 9. Let l(n) = -440*n**2 - 1630*n + 45. Let z(w) = l(w) - 5*s(w). What is the second derivative of z(b) wrt b?\nAnswer: -880","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l = 22*l - 18*l. Let g(n) be the second derivative of 7*n + 0 + 1\/2*n**2 - 1\/12*n**4 + l*n**3. Factor g(j).\nAnswer: -(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1828 is divided by 122.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yzr when three letters picked without replacement from rgsvsyvvyzgz.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -44*i**2. Let a(c) = 3*c. Determine a(b(s)).\nAnswer: -132*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1695.0002685 + 1695. What is t rounded to five dps?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 508 - 504. What is the third derivative of -24*a - 9*a**f + 38*a**6 + 24*a + 8*a**4 - 143*a**2 wrt a?\nAnswer: 4560*a**3 - 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*v - 27 = -80*v + 51 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1484, -1475, -1452, -1409, -1340, -1239, -1100, -917?\n\"Answer: z**3 + z**2 - z - 1485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 874*j + 8233 - 9107 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25292.04 millilitres to litres.\nAnswer: 25.29204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 53?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 25158730477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g. Let y(t) = -t**2 - 4*t - 4. Let h(n) = 2*j(n) + y(n). What is h(-7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 89 and 3827?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8642?\nAnswer: 2, 29, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 12*c**2 + 3*c + 3. Let w be y(-8). What is the highest common factor of w and 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10576 + 10576 + 6*y**3.\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 24*s + 45. Let w(n) = -6*n - 11. Let o(l) = -2*i(l) - 9*w(l). What is the derivative of o(k) wrt k?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from gqqqsggqgsqg.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 6 - (3 - 1) - 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 3*j = 12. Suppose 4 = -t + 5. Find the first derivative of 30*p**j - 21*p**4 + t + 9 wrt p.\nAnswer: 36*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 142, 2 in decreasing order.\nAnswer: 142, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -291798*z**3 - 236320*z wrt z?\nAnswer: -1750788*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5177082*b**4 + 3*b**3 - 91249737*b**2 wrt b.\nAnswer: -124249968*b + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -4*q, 5*q - 7*q = 2*o. Suppose 5*d + g - 3*g - 26 = 0, -3*d = 5*g + 3. Suppose d*k - 112 - 88 = o. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 360903796?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -650009*s**5*u**3 + 21*s**3*u**3 - 4856*s**2*u**3 + 253*s**2*u**2 + s**2*u - s*u**3 + s + 2*u**3 wrt s.\nAnswer: -39000540*s**2*u**3 + 126*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - t + 19 = -3*t, 4 = -4*t. Let x = -13 + r. Let h(k) = -k**2 + 5*k - 2. Let d be h(x). Solve 2*v = 2*p - 6, 0 = 4*p - d*v - 0 - 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 41981*z + 3 - 3 - 41981*z + 2*z**2. Let x(i) = -i - 167. Calculate x(m(q)).\nAnswer: -2*q**2 - 167","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*a**3 - 38 + 5 + 27 + 6.\nAnswer: -22*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 9*d = 9000. Is d a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 16. Which is the third biggest value? (a) 5 (b) -1\/3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -92*p + 34. Let a be n(-8). Let m be 3\/24 - (a\/144 - 5). Sort -2\/95, m, 0 in descending order.\nAnswer: 0, -2\/95, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/979202 and 77\/1818518.\nAnswer: 12729626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/5)*m)\/(m**(-3)\/m))\/(m**6\/(m\/((m\/m**(1\/5))\/m))) assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + 6076?\nAnswer: 6075.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-390)\/(-25) + -3)*5. Let m = u - 440\/7. Let t be (-39)\/(-63) - (-4)\/(-14). What is the second biggest value in t, m, -0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 - 317 = -53*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 9:51 AM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/11 + 23\/66. Let w be 4\/(8\/15) - (310 + -302). What is the biggest value in p, -3, 0.1, w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**3)**(-5\/7) assuming x is positive.\nAnswer: x**(-15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 97 + -57. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104277045035 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (112\/(-84))\/(4\/12*2). Sort i, -97, 7, 2 in decreasing order.\nAnswer: 7, 2, i, -97","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19678 = -p + 4*k + 90185, -4*k = p - 70531. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7021.882 to the nearest one hundred.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7\/4 + 41\/20. Calculate the common denominator of u and 4\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 8. Let b be (-1)\/v*(2 - 6). Find the third derivative of -3*c**b - c**4 + 8*c**4 + 10*c**2 wrt c.\nAnswer: 168*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.21569 - 0.11569. Which is the closest to y? (a) 25 (b) 0.08 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 160 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/4*2\/5. Let i = 8\/5 - x. Let w = 0.5 - -0.5. Which is the third biggest value? (a) w (b) -0.5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 3.56?\nAnswer: -5.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -34 (base 6) to base 8\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*v - 6. Suppose 0 = -2*w + 2*i + 6, i = v*w - 0*i - 3. Factor -8 + w*o**2 - 6*o**2 - 12*o + 0*o**2 + 2*o**2.\nAnswer: -4*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - 9 - 12*d - 3 to the form z*d + c and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 0.069.\nAnswer: 0.0276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 91 + -166. Let r be 4\/6*w\/10. What is the units digit of (r + 1)*8\/(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 12 = -j + 2, 26 = 3*j + 2*q. Solve 3*g = -5*h - j - 6, 2*h + 2*g + 8 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*s + 5*n, s = 5*s - 3*n - 1. Let c = -2.7892 + 2.7892. What is the nearest to -0.1 in c, s, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-330)\/(-5445) + (-314)\/6 + (-6)\/(-22)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -2433\nAnswer: 9732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1089677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 3:07 AM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -11*t + 673. Suppose 0 = -7*b + 330 + t. Suppose -2*r + b + 60 = u, -2*r - 2*u = -120. Does 21 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(4\/5)*d)**(2\/23)\/((((d\/(d\/((d*d\/(d*d**6\/d))\/d*d)))\/d)\/d)\/d**(-21)) assuming d is positive.\nAnswer: d**(-1707\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*z**4 - 5988*z**3 - 21*z**2 - 2081332*z?\nAnswer: -60*z**2 - 35928*z - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -205*w + 38959 - 43469 for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15160 - 15130) + (-1 - 18)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r**5 - 160*r**4 - 484*r**3 - 440*r**2 - 128*r = 0 for r.\nAnswer: -1, -2\/3, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.1, 35, -4\/17, -3, -11\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 + 5 = 4*b. Put 0, -1, b in decreasing order.\nAnswer: 0, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/14 - ((-260)\/84 - -2). Factor 0*b + 2\/3 - x*b**2.\nAnswer: -2*(b - 1)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 7 + 5. Suppose -c - 3*c = a*i - 28, -6 = 2*i - 2*c. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101110 (base 4) to base 2.\nAnswer: 10001010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 6*m**2)*(-m**2 - 2*m**2 + m**2) + 4*m**4 - 4*m**4 + 2*m**4.\nAnswer: 14*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = b + 6. Let q be 5\/11*16\/(-20). Let m = 19\/22 + q. Which is greater: m or b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-3)*0*1. Suppose 4*s + 0*s = n. Solve s*j = -3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 189437 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 - -28.5. Sort -2\/9, o, -0.1 in decreasing order.\nAnswer: -0.1, -2\/9, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oppoo. What is prob of sequence oop?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-231)\/110)\/7*(-4)\/(-3).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(0 + (-9)\/12). Let s = 5.2 + 0.8. Let l = s - 8. What is the nearest to -1 in 5, a, l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1045*b**3 - 4*b**2 + 22376?\nAnswer: 3135*b**2 - 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 130610 and 185.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2292 is divided by 350.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 53 = 69. Which is the closest to k? (a) 2\/5 (b) -5 (c) -3 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4026, -1, -3, -63?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 6*r**2 - 2*r + 9. Let b be x(7). Suppose -4*v + 447 = -4*i - 9, -2*v = -4*i - 238. Let q = b + v. List the prime factors of q.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**2 - 12*y**3 + 12*y - 5*y - 9*y + 4 + 0*y to the form n*y**3 + w*y + i*y**2 + c and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*l + 14, 2*r + 0*l = l + 3. Suppose -5*p + 9 + 36 = 0. Suppose 10*c - 39 = -p. Solve -r*k - 4 - 5 = 5*z, 5*k + c = 2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - q = 1, 2*o - 2*q + 2 = -4. Let t = 383\/56 + -57\/8. Let p = 36 - 322\/9. What is the smallest value in t, p, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 21, 33, 47, 63?\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((2*sqrt(187))\/sqrt(11) - sqrt(187)\/sqrt(11)*6).\nAnswer: -4*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 4:09 AM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 15) to base 12\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -76260 divided by 94\nAnswer: -38130\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1487*o + 39960 = -407*o for o.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 516*k + 758*k + 22738 + 43644 = -6236 for k.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.040637 to three dps.\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -4. Suppose 4*v - w*p - 14 - 37 = 0, -3*v + 48 = p. Suppose -3*u + v = -r - 5, r = -u + 8. What is the remainder when 18 is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j + 142792948 - 4*j - 142792948.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -91.847 + 92. Let i = 0.1530101 - p. What is i rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-37)\/7 + 5\/((-70)\/(-4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a meter in centimeters?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2201*j - 38052. Calculate h(17).\nAnswer: -635","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + -1)\/(((-54)\/(-8))\/(-27)). Put 1, -24, v in increasing order.\nAnswer: -24, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 420 and 1722?\nAnswer: 17220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102211212120210122 + 10?\nAnswer: 102211212120210202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 699 - 252. Calculate the remainder when a is divided by 45\/(-39) - 14\/(-91) - -91.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -138 - -498. Is i a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 19 + 7. Let h = c - -19. Let a(u) = 7*u**3 - 2*u**2 + u + 1. Calculate the remainder when a(2) is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3013 = 10*p - 33*p. Which is greater: 133 or p?\nAnswer: 133","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26226119763 + -5.5?\nAnswer: 26226119757.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*p*u**5 + p*u**4 - 8359*p*u**3 + 357*p*u + 24*p - 3*u**2 + 1 wrt u?\nAnswer: 120*p*u**2 + 24*p*u - 50154*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 0.141\nAnswer: 0.282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) 8 (c) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -326*r + 2. Let u(t) = 3*t**2 + 16957044 - 16957044. Give u(w(m)).\nAnswer: 318828*m**2 - 3912*m + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 785269997?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*p - 3*p. Let d = p + 1. Suppose 0 = -n + 1 - 2. Which is smaller: d or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*(-6 + (-6994)\/(-1170)). Factor h*m**2 + 4\/5*m - 32\/15.\nAnswer: 2*(m - 2)*(m + 8)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 3)*(-f + 0*f + 3*f) - f + 0 + 0 - 8 + 4*f + 8 + 3*f - f + 2*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31295527?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-435)\/(-21) - (2 + (-16)\/7).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11176*x**2 + 11676*x**2 - x - 22810*x**2 + 5*x - 4*x.\nAnswer: 42*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1526424 to the nearest integer?\nAnswer: 1235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 - 118 = -5*d - 5*f, -50 = -2*d + 2*f. What is the derivative of d*z - z**2 + 34 - 4*z**2 + 4*z**2 - 74 - 39 wrt z?\nAnswer: -2*z + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -v + 10, 2*v - 6 = s + 8. Let q(m) = -m**3 + 6*m**2 + 2*m - 9. Let f be q(v). What is the third derivative of -h**2 - h**f + 3*h**3 - h**2 wrt h?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 31\/2 (c) 6.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mmemmmmmmmmmm?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21676127.\nAnswer: 11, 419, 4703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -3. What is the remainder when 10 is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/8658*37*((-14)\/(-35) + 84\/15).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.127336nm in meters?\nAnswer: 0.000000006127336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14717 = -f + 14706 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4535 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36598 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/4859213?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 45*y - 3. What is the units digit of g(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*v = 79*v - 4*y - 16, -v + 4*y + 16 = 0. Solve -o - 3*t + 13 + 2 = v, 0 = 2*o - 4*t + 20 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 11*m**2 + m - 8. Let f be x(11). Sort -13, 5, f in decreasing order.\nAnswer: 5, f, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24100\/18 - 105\/126*(-4)\/30 and 8.\nAnswer: 10712","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64745 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 10:54 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 x when two letters picked without replacement from {x: 6, q: 2, g: 1, o: 3, r: 4, w: 2}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5798300843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*t + 131 = 106. Suppose -c = c - 4. What is the remainder when c is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 427136 to the power of 1\/3, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11149.\nAnswer: 11149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (56\/(-7))\/(-4)*(2 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((4\/6)\/(-1))\/(8\/84). What is the closest to -0.2 in -1\/5, q, -0.1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -957*i**4 + 6*i**2 + 6*i - 626. Let a(z) = 4785*z**4 - 29*z**2 - 29*z + 3132. Let w(o) = -6*a(o) - 29*y(o). What is the derivative of w(t) wrt t?\nAnswer: -3828*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of w**9\/30240 - w**8\/10080 - w**7\/2520 + w**6\/720 - w**5\/15 + 14*w**2. Let z(y) be the third derivative of t(y). What is z(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 + (61\/((-1159)\/456) - -5).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2561*r = 15868 + 19986 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-8) + 147\/28. Let j(b) = -3*b + 1. Let h(p) = -7*p + 3. Let n(g) = -4*h(g) + 9*j(g). What is the units digit of n(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*o + 4131 = -156*o - 6*o - 70*o for o.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 9:42 AM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 44?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 0.1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -198, -162, 14 in decreasing order.\nAnswer: 14, -162, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -449*d**3 + 231*d**3 + 136 - d + 224*d**3 - d.\nAnswer: 6*d**3 - 2*d + 136","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 13*a**2 - 12*a - 13. Let t be b(14). Suppose -h = 3 - t. Let g(c) = c**3 + 3*c**2 - 5*c + 3. What is the remainder when h is divided by g(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (35*q**2 - 31*q**2 - 3 - 2*q**2)*(0 + 3 - 5) + 0 + 0 + 2*q**2 in the form w*q**2 + v*q + t and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10694 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**16*r)\/(r*r**0))**(2\/131))**(3\/2) assuming r is positive.\nAnswer: r**(48\/131)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -213*b**2*t**3 + 2*b**2*t**2 - 5*b*t**3 - 10*b*t**2 wrt b?\nAnswer: -426*t**3 + 4*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-7\/5)*l**(-3\/4))\/(((l*l**(-2)*l)\/l)\/l*l*l\/l**1))\/((l*l*l**(-7))\/((l**(3\/4)*l)\/l*l)*(l\/l**(2\/5))**(2\/41)) assuming l is positive.\nAnswer: l**(1142\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15087037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Express 76 - 866*c**2 + 79 - 232 + 77 in the form x + p*c**2 + z*c and give p.\nAnswer: -866","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 11:52 AM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-3 + 5 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 k when four letters picked without replacement from ccccsfzcmzmczsmkc.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -6*h**2 + 237*h - 2391. Give s(27).\nAnswer: -366","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 8 = -2*o, -4*f - 14 = -4513*o + 4514*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1543 is divided by 192.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**3 + 12 + 5*a**3 - 24.\nAnswer: 5*a**3 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 30 + 9 = 2*o, 3 = o - 3*a. Suppose -3*y = -36 + o. Solve -3*s = -s - y for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1653 is divided by 75?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -382*c - 42416. Determine k(-109).\nAnswer: -778","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 19 = -6*o. Let q(n) = o*n + 5*n - 15*n. Let x(h) = 5*h**2. Determine q(x(p)).\nAnswer: -40*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (1 + (sqrt(1300) - (-2 + sqrt(1300))) + 5 + 2*sqrt(1300) - (3 + sqrt(1300)*-2 - (2 + sqrt(1300))*-2))*-3)**2.\nAnswer: 600*sqrt(13) + 46825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 351109105 to the nearest integer?\nAnswer: 18738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 956*y**2 - 2*y + 34. Let r be g(-16). Let z be 30\/(-27) + 1 + r\/18. Round z to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (53 - -6) + 7 + -7 - (-2 + 11)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257759839.\nAnswer: 257759839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -17, -1, -4, 445 in decreasing order.\nAnswer: 445, -1, -4, -7, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 12*a - 2646. Let g = a - 217. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 4:40 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 36*g**4 + 172*g**3 + 32*g**2 - 304*g + 64 = 0.\nAnswer: -4, -2, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.65 + -69.\nAnswer: -65.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1388656 to the power of 1\/3, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2093 and 1235.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -77773102?\nAnswer: 77773075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*y**2 - 17*y**2 - 6*y**2 to r*y**2 + m*y + f and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(22)\/(2*sqrt(2)) + sqrt(11) + -4 + sqrt(275))**2.\nAnswer: -52*sqrt(11) + 1923\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.53 - 0.71. Let g = j + -0.1. Let t = g + -0.98. Does t = 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(3\/((-3)\/(-3))*1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xhwnxtx. Give prob of picking 1 w, 1 n, and 1 h.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 4*z - 56, 10*c - 59 = 7*c - 4*z for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 27 = 7. Let f(a) = 8*a**2 - 22. Is f(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6062\/5 >= -3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 e when two letters picked without replacement from zezezeeeee.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/21 + -183*5\/(-105). Let b(o) = 30*o - 13. What is the units digit of b(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) -3407 (c) 0.5 (d) -1\/2 (e) -50\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -72, -373, 0 in descending order.\nAnswer: 0, -13, -72, -373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 2*j - 61, 4*x + x = -5*j + 75. Calculate the remainder when 127 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 7*p**2 + 11)*(-5*p + 0*p - 2*p) + (3*p + p - p)*(-2*p**2 + 0*p + 0*p).\nAnswer: 43*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vt when two letters picked without replacement from tdtkoddaotdtatv?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1580835 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 73477739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28620 - 8227. Is i a multiple of 162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*m - 451 = 3*o, 2*o + 298 = 2*m. Let y = 367 + o. List the prime factors of y.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o**2 - 2*o - o + 9*o**2.\nAnswer: 5*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4896 - -3d?\nAnswer: -4859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3325235 is divided by 88?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -68?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1990 - 34 = -114*z + 598 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 11, 13, 15?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 59.60956 days?\nAnswer: 5150265984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448)*-1 + sqrt(448) + sqrt(448))**2 + 5 + 0 + -1 + sqrt(448).\nAnswer: 8*sqrt(7) + 452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 150867 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1769820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/(sqrt(5)*3) + 1.\nAnswer: 1 + sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 6 + 0 - 2*l**2 - 3*l**3 as v*l + w*l**2 + a + q*l**3 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 561\/935*5\/(-9)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -v**5\/60 - v**4\/9 - 5*v**3\/18 - v**2\/3 - 11*v. Let d(o) = 0. Calculate o.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001011101011011 + 11?\nAnswer: -10001011101011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16*(-10)\/12*(-11763)\/19605?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1, -12196478 in descending order.\nAnswer: 1, -8, -12196478","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/4 - (-2)\/(-4). Suppose -3*l + o*l = -12. Suppose -l*y + 8 = -3*y. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 - 22. Suppose q*g + 0*g + 3 = 0. Let l be (g - 5)*(-56)\/21. What is the greatest common factor of 24 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 198.7381 litres?\nAnswer: 198738.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 4*b - 3*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3292*c**5 + 4*c**4*p + 2*c*p + 4724*p wrt c?\nAnswer: 65840*c**3 + 48*c**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1700536 divided by -27428\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 35870899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000000 - 10001?\nAnswer: -10010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p - 2*p**2 + 4*p - 66*p**2 - 13*p**2 + 9*p**2 + (3*p**2 - 4*p**2 + 0*p**2)*(-4 + 2 + 1) + (-2*p**2 + 0*p + 0*p)*(1 - 3 + 3).\nAnswer: -73*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of r**7\/84 - r**6\/60 - 3*r**5\/40 + r**4\/24 + r**3\/6 - 82*r + 254. Let p(l) be the first derivative of c(l). Factor p(i).\nAnswer: i*(i - 2)*(i - 1)*(i + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4c06 (base 14) in base 11?\nAnswer: -a022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bi when two letters picked without replacement from {b: 4, u: 1, h: 1, s: 1, r: 5, i: 1}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 530*m + 2*m**2 + 54 + 0*m**2 - 223 - 542*m. Is d(-32) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - 17*c**2 - 13*c + 44. Let w be h(-16). Sort w, -13, -3, -11 in descending order.\nAnswer: -3, w, -11, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuiuedidbeqi. Give prob of sequence ueb.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 3*n - 2932 = 0, 0*g - 3*n = 2*g - 1177. Let s = 591 - g. Solve -4*w + 5*h = -w + 32, 0 = -3*w + s*h - 28 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 0 = -5, -3*o - 18 = 3*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*8)\/(54\/(-27)) + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -41435, -41704, -41973, -42242, -42511, -42780?\n\"Answer: -269*w - 41166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**29*k\/k**24*k\/k**(-12)*(k*k**(-2\/87))\/k assuming k is positive.\nAnswer: k**(1651\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -7\/12316?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76403, -152787, -229171, -305561, -381963?\nAnswer: -458383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -2 + 2 + -5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 996*j**2 + 4 - 4 - 1002*j**2.\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.03 - 0.97. Let s be ((-8)\/(-3) - (-2)\/(-3))\/2. Which is smaller: i or s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4397 + 6.4713. Let a = w - 7. Let s = a - -0.0923. Round s to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 5*k - 3*k)*(523 - 174 - 111 - 124).\nAnswer: -912*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 + -21. Is a bigger than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/10 + (-16)\/(-40). What is the nearest to z in -1\/8, 1, 0?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5736*m**3 + 6250*m**3 - 4663*m**3.\nAnswer: -4149*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 87711410467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(1\/(-1 + -7)). Suppose -6*o + 36 = -15*o. Calculate the lowest common multiple of 5\/(o*1\/r) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*f = 7 + 35 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -45*g**2 - 7*g. Let z(c) = -23*c**2 - 4*c. Let p(j) = 4*o(j) - 7*z(j). Let b(u) = -u**2 + 2*u**2 - 8*u**2. What is b(p(m))?\nAnswer: -2527*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x. Suppose -20 = 4*c - 4*o, -1 = -3*o - 4. Let a be (-9)\/c*2\/3. Calculate the least common multiple of n(a) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**2 - 58774293*a**3 - 4*a**2 + 58776074*a**3.\nAnswer: 1781*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 75 = -o + 3*s, 3*s - 9 = 0. Suppose o*p + 2196 = 87*p. Is 13 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 390 + -5852\/15. Let t = -5228 - -5221. Let d = -13 - -12. What is the second biggest value in r, t, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*y - 42*y = 24*y - 2499 for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -15*f + 11. Let d = 148 + -141. Suppose 0 = 13*s - d*s - 66. Let j(t) = -5*t + 4. Determine s*j(o) - 4*r(o).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oxrgoxo. What is prob of picking 1 r and 1 x?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/3))**(1\/27)*(((x**(1\/2)\/x)\/x*x*x*x)\/x)**(1\/15) assuming x is positive.\nAnswer: x**(47\/810)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -10*z**4 + 6*z**3 + 54*z**2 + 50*z + 12 = 0.\nAnswer: -1, -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(539) + -2 + 5 + sqrt(110)\/sqrt(810).\nAnswer: -125*sqrt(11)\/9 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -7*z + 8*z + 0*z**2 - 5*z**2 - 5*z - z**3. Suppose -1 + 37 = 4*b. Let a = 5 - b. Give y(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v. Let n(d) = 12*d + 8 - 4*d - 15 - d**2. Let b be n(6). Suppose m - b*h - 3 = -9, 0 = -3*h. Let j(a) = 4*a - 1. What is m*s(w) - j(w)?\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10998291 to the power of 1\/3, to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -235 (base 11) to base 4\nAnswer: -10120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 248 and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1*-597\nAnswer: -597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1563710 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.1, 3, 0.01, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 12. Let s(c) = -3*c**3 + c. Give s(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3 - -6) + 1 - -773.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3271195 and -6.\nAnswer: 19627170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225*h + 587 = 1125 + 1937 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 742 is divided by 64?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 409, 579, 747, 913, 1077, 1239, 1399?\nAnswer: 1557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-126) + (-1)\/3. Which is the closest to s? (a) 6 (b) 0.3 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1095)\/(-18) + (-5)\/(-30) + 1. Let g be 22\/99 - n\/(-45). Determine w, given that 4\/5*w**5 + 0 + 4\/5*w + 0*w**2 + 0*w**4 - g*w**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (-19 - (-18 - ((4 - -6) + -18))) + -4?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 116089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*h - 36*h - 52 = 0. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*a**2 + 15*a**2 + 3*a**2 as z*a**2 + g + w*a and give z.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 988 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*d + 12 = 188*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 6:09 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -171 divided by 633.\nAnswer: -57\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 5*f = -3*j + 161, 367 = -4*j + 5*f. Let w = j + 58. Round w to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 498 and 12934.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-23 + 24)\/(-2 + 76\/36). Solve 0 = -y*m + 35*m - 130 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001 (base 6) to base 3.\nAnswer: -1210001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 661 divide 152941602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.3111 rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 10:48 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -1 (b) 2\/13 (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 384860730?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -10. Let l = 5461.3 + -5461.2. What is the smallest value in l, k, 6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/2913688 and -7\/2913688.\nAnswer: 2913688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17152, 17150, 17148, 17146, 17144?\nAnswer: 17142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229 is divided by 77?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -100.4 * -17.\nAnswer: 1706.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**3 + 29*q**2\/3 + 8*q + 4\/3 = 0. What is q?\nAnswer: -2, -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mlo when three letters picked without replacement from {m: 2, o: 2, x: 1, t: 1, l: 4, g: 2}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 1:30 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 3, -0.06, -83, 4797 in descending order.\nAnswer: 4797, 3, 2\/9, -0.06, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/6 - 40478\/(-6). Let g = u - 425080\/63. Find the common denominator of 169\/30 and g.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8696, -34792, -78276, -139142, -217384?\n\"Answer: n**3 - 8700*n**2 - 3*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4*j - 18 = 0. Let i be 4 - j*(-6)\/9. Let w(v) = -i*v + 4*v**2 + v**3 + 1 - v**2 - 7. Determine w(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32220020103 + 32?\nAnswer: 32220020201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 1160, 5, -5, 2 in increasing order.\nAnswer: -5, 2, 5, 25, 1160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j - 51. Give m(15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(99)*2*-3 + ((sqrt(99)*1 + sqrt(99))*4 - -5*2*sqrt(99)))\/(sqrt(1296)*-1*-2*-5*1).\nAnswer: sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -64 + 90. Let a = 39 - c. Let w = a - 3. Does 5 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -292*p + 421*p + 9*p + 1080*p - 60900 = 0 for p.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -21220 (base 4) to base 9\nAnswer: -754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(33) + (sqrt(132)\/sqrt(4) - sqrt(33)))\/sqrt(11) - ((sqrt(3)*-2)**2*-4 - sqrt(3))) + sqrt(9)\/(sqrt(120)\/sqrt(10))).\nAnswer: -192 - 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 72 = 4*x. Let l = x - 25. Let f(r) = -3*r**2 + 7*r. Let a(n) = -3*n**2 + 6*n. What is l*a(o) + 6*f(o)?\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1841 or -1842?\nAnswer: -1841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -262, -68, 582, 1688?\nAnswer: 3250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.43*-0.093.\nAnswer: 0.13299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37 + -35. Suppose 1 = -r + 3, -1412 = -4*h - y*r. Suppose 0 = 7*i - 1808 + h. What is the greatest common factor of 26 and i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*l - 59478 = -6*l + 570462. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25997*v + 25996*v + 5*u + 24 = 0, -5*v + u = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 104+563\nAnswer: 667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 + 35. Solve 2*w = c*w + 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11447b (base 12) to base 14\nAnswer: 73007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(352)*-2)\/(sqrt(2) - (sqrt(2) + (sqrt(8)\/sqrt(2))\/sqrt(2))) + -5.\nAnswer: -5 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26690.961389 + 26691. Round t to four decimal places.\nAnswer: 0.0386","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 5*r = -z + 21, 3 = 3*r. Suppose 0 = -3*u - 4*m - z, 3*u - 6*u + 8 = -2*m. Solve -3*b = g + 4, u*g - 3*g - 4*b = 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 0. Suppose -p = 3*z - 55. List the prime factors of z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1304 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64249.\nAnswer: 47, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -88, -137?\nAnswer: -186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -5*s - 20. Calculate the remainder when r(-58) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (15 + (-22 - (-29 - 2))).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -73 + 78. Is 0 + 862 + (-40)\/u + 5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 5. Let h(b) = 5*b - 36. Calculate h(x) + 4*s(x).\nAnswer: 5*x - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 190 = -2*y. Suppose -w - 3*t = -y, 0*w - 291 = -3*w - 3*t. Is w a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2597 or -2416?\nAnswer: -2597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -1978*q + 1979*q + 3 - 3. Let f(w) = w**2 + w - 4. Let g be (-58)\/18 + (-4)\/(-18). Calculate g*s(k) + f(k).\nAnswer: k**2 - 2*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*j - 13*j - 100 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -36\/5, -1.1, 0.2, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4133139854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23776 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 12:21 PM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, u: 3, y: 2, r: 3, q: 3}. Give prob of picking 1 y and 2 i.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*g*l**3*m**2 + g*l**3*m - g*m**2 - l**3*m**2 - 2*l**3*m + 2*l**2*m - 5*l wrt m.\nAnswer: -62*g*l**3 - 2*g - 2*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-8) - (-98)\/(-4). Let i = x + 38. What is the highest common factor of 3 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*(10\/(-4) - -4). Let q(t) = 3*t**2 - 3*t - 6. Let r be q(b). Let g = r + -20. Calculate the remainder when 49 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 1.7 (c) -2\/3 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 29, 76, 113, 134, 133, 104?\n\"Answer: -d**3 + d**2 + 51*d - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101613 is divided by 44?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -18. Let b be k\/(-10) + (-297)\/(-15). What is the second smallest value in -1, b, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 34\/8 - 4\/16. Suppose -l - 2*l = -3*x - 9, 0 = 4*x - 2*l + z. What is the closest to 0 in x, -0.5, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 - 13*x - 64. Let b be c(-8). Suppose 15 = -2*d - 31. Which is smaller: b or d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13612, -13775, -13938, -14101?\nAnswer: -14264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -6202*u**2. Let v(n) = -n**2 + 2. Calculate v(o(d)).\nAnswer: -38464804*d**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bdfdludfd. Give prob of sequence dufl.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-542)\/96*-3 + (-4)\/(-64). Solve -36 = -4*w - 4*a, -9 = -2*w - 4*a + q for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 7*j + 12. Suppose 6*c - c = -5, -5*d + 707 = -j*c. Suppose -7*m + d = -349. Calculate the remainder when m is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -262728861*y**3 + 56367240*y**2 wrt y.\nAnswer: -1576373166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 110045 (base 7) in base 16?\nAnswer: 4b29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -4)*12\/18. Let t(n) = -2*n. Let w(h) = -40*h + 14*h + 25*h. Let c(x) = x**2. Let i be c(-1). What is i*t(m) + p*w(m)?\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*x, w + 3*w + x - 82 = 0. Let k be -1*(-7 - -5 - w\/(-12)). Suppose -5*z = -0*z. What is the closest to z in -3, 0.5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23960306.\nAnswer: 2, 11980153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q + 2, 127*q = -h + 125*q - 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 71 - 145\/2. Put -1\/6, y, 2 in descending order.\nAnswer: 2, -1\/6, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33694 is divided by 2090.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 6*p + 3. Let k be d(7). Suppose k*g + 12 = 12*g. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + j - 21, 3*h - 8*h - 3*j + 115 = 0. Is (0 - 1) + h\/2 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -535, -456, -379, -304, -231?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1005 + 1050?\nAnswer: 2055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -51640?\nAnswer: 51634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = x + 8, -2 = 2*x + 8. Let g(d) = -2*d**2 + 4*d**2 - 6*d**2 + 3*d**2 + 1 - 4*d**3. What is the remainder when 11 is divided by g(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -20, -7*o + 2589 = 2*l - 2*o. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5347703084.\nAnswer: 2, 43, 439, 70823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**2\/3 - 79780*x\/3 + 690976 = 0. What is x?\nAnswer: 26, 39864","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008232 rounded to seven dps?\nAnswer: 0.0000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of -114*y**5\/5 - y**4\/8 + 14*y**3 - 1308*y**2. Find the second derivative of w(r) wrt r.\nAnswer: -2736","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**2. Let x(t) = 16739*t + 1. What is x(w(j))?\nAnswer: 33478*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/12 and -29\/438.\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15*13 - (-2 + -1). Let q = f - 138. Is 15 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*l*q - 208293*l - 3130*q with respect to q.\nAnswer: -3*l - 3130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -62380 + 5926042\/95. Let w = -4\/19 - i. What is m in 6\/5*m**5 + 2*m**2 - w*m**3 - 2*m**4 + 0 - 4\/5*m = 0?\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 2*t - 4*l + 6*l, 2*l + 106 = -4*t. Let j = 14 - t. Suppose -j - 92 = -3*a. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 24*v - 73. Let u be q(-15). Let s = 63 - u. Solve 4 = -3*j + s for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 18 - 29*s + 10*s.\nAnswer: -19*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z**3 - 78*z**4 + 5*z**3 + 2 + 40*z**4 + z**2 - 7*z**3 + 35*z**4 as c*z**3 + l + w*z + q*z**4 + a*z**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**2 - 8*g + 1034. Let m(q) = -5*q**2. Give f(m(z)).\nAnswer: 50*z**4 + 40*z**2 + 1034","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 119.3 + -119. Are -36 and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 + 33. Suppose 7*l - n*l = -232. Suppose l*v + 504 = 32*v. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 66 - 66. Solve 0 = 5*y - 2*f - 1, -4*y - 2 = -k*y - 3*f for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11083 or -10920?\nAnswer: -10920","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a decade in months?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2705292 nanometers in kilometers?\nAnswer: 0.0000000000002705292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, s: 1, p: 1, y: 9, z: 2}. Give prob of picking 1 z and 1 y.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4417*x*y**3 + 83177*x*y**2 - 6*x - 4*y**3 wrt y?\nAnswer: 26502*x - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/9 + 3 + (-106779)\/38421. Let a = i - -1427\/2846. Let 1\/2*k**2 - k**3 - a*k**4 + k + 0 = 0. What is k?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-28))\/(1*6\/21)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 19 = 5*m, m + 2*n = n + 3. Let u(q) = -9*q - 2. Let y(g) = -4*g - 1. What is m*y(w) - 2*u(w)?\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3257.168 litres to millilitres.\nAnswer: 3257168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111110 (base 2) in base 3?\nAnswer: 11200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (63 + 1)*11550000\/(-32). What is m rounded to the nearest 1000000?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of 1\/6*n**3 + 0*n - n**2 - 1\/60*n**5 + 0 - 5\/24*n**4. Give y(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8927 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 24914728 divided by -14108\nAnswer: -1766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11594\/3 + 3865. Solve -s*u**2 - 4\/3*u - 4\/3 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272866 is divided by 272254?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -80*o**3\/3 + 22*o**2 + 290. Find the second derivative of b(s) wrt s.\nAnswer: -160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, 1\/37, 1\/13, -2\/45 in descending order.\nAnswer: 1\/13, 1\/37, -2\/45, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 1 + 3\/((-6)\/(-1894)). What is the common denominator of -31\/30 and t\/(-168) + -9*3\/(-63)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a. Let p(z) = 5. Suppose -11 = 6*t + 5*t. Let o(j) = j - 1. Let k(f) = t*p(f) - 5*o(f). What is k(q(x))?\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(242)*-1.\nAnswer: -22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 61616? (a) -0.4 (b) 12 (c) -2 (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s + 4*x - 20 = 0, -x = -2*s - 4*x + 15 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**4 + 0*l**4 + 0*l**4 + (0*l**2 + 2*l**2 + 0*l**2)*(-2*l**2 + 0*l + 0*l + (-3 + 3 + 2*l)*(-l - 5 + 5) + l**2 + l**2 - l**2).\nAnswer: -5*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.042 + 39.76581\nAnswer: 39.72381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -abd3 (base 15) to base 14.\nAnswer: -d3b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2 = 2. Let l(m) be the first derivative of -m**4\/4 + m**2 + m + 26. Let u be l(i). Solve u = c + 3 + 2 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 10 = 0, -5*o + 17 = 3*x - 13. Which is the second biggest value? (a) o (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 12*b**4 - 28*b**3 + 27*b**2 - 13*b + 6. Let c(n) = 36*n**4 - 85*n**3 + 82*n**2 - 39*n + 17. Let o(u) = -4*c(u) + 11*g(u). Solve o(j) = 0.\nAnswer: 1\/2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-286041)\/(-5936) - 6\/32?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 10*y - 4*y. Let j be ((-5)\/y*-2)\/((-2)\/8). Suppose 5*k - k + j*d = 1592, -25 = 5*d. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3 = 5. Which is the third biggest value? (a) n (b) 3\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o = -2*o - 504. What is the remainder when o is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26860*p**2 - 4*p + 36996?\nAnswer: 53720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 150442349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32715.33 + -32969. Let w = -258 - p. What is w rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2009480 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*p - 9*p + 7*p - 1782 = 0. Is 116 != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19087, -33, -1 in increasing order.\nAnswer: -33, -1, 19087","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -7. Suppose -7*i + 136 - 395 = m. Let f = i - -182\/5. Is -2 smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 19*b**2 - 17*b + 20. Let v be r(-18). Let k be (1\/(1\/v))\/(195\/13). Sort k, -0.5, 5 in ascending order.\nAnswer: -0.5, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**4 - 3*s**3 - 3*s**2 - 5. Let d(f) = 6*f**4 - 10*f**3 - 10*f**2 - 14. Let b(k) = 3*d(k) - 10*h(k). Differentiate b(m) wrt m.\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 266 = -5*d, -664*t + 24 = -668*t. Sort -1, -26, d in increasing order.\nAnswer: d, -26, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/(-112)*-1*(-2)\/(-4)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -106069388\/18469 - -63174\/11. Let j = -188671\/80592 + a. What is the common denominator of j and 37\/22?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*r = 9048 + 1192. Let b be (-4)\/((-2)\/(-2))*-8. What is the highest common factor of r and b?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -33 - 200304?\nAnswer: -200341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 17813?\nAnswer: 17810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.9182 - 0.0182. Sort -5, j, -2\/13, -4.\nAnswer: -5, -4, -2\/13, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 1794 = -5*b. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -22*r**4 + 6*r**3 + 6*r - 14. Let b(v) = v**4 + v**3 + v + 1. Let i(p) = 6*b(p) - j(p). Differentiate i(g) wrt g.\nAnswer: 112*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 3*w**4 + 3015*w**3 - 4552656*w**2 - 13679028*w - 9123360 = 0?\nAnswer: -1832, -2, -1, 830","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -263, -1023, -2295, -4085, -6399, -9243, -12623, -16545?\n\"Answer: -r**3 - 250*r**2 - 3*r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -121bc - 1?\nAnswer: -121c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39.5 + -404.5. Let g = -365.59 - l. What is the closest to 1\/3 in 4, g, 5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of b**4\/6 + 2*b + 1. Let s(q) be the first derivative of f(q). Let y(x) = -x - 7*x + 4*x. Give s(y(h)).\nAnswer: 32*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 9*r - 4 + 16 = 4*r, -3*r = -4*w - 25 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.095 - -1.095. Which is the nearest to -0.1? (a) 0 (b) 1\/8 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1368 + 2)*(-3 - 10\/(-4)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + b + 24, 4*v - 5*b - 5 - 3 = 0. Let n = 11 - v. Suppose 4*r - 4 - 3 = d, -3*r - 11 = -n*d. Solve -3*i + 9 = r for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 415 + 329 = 0. Is 22 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*p - 118*p + 10 = -2*n, 4*n + 2 = p. Suppose 2\/7 + n*u**2 + 1\/7*u**3 - 3\/7*u = 0. Calculate u.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102211 + -11?\nAnswer: 102200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1491 - -1491. Solve -96*x + 95*x = a for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by 642799\nAnswer: 17\/642799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, y: 2, p: 2, d: 2, h: 1, k: 2}. What is prob of sequence dpsy?\nAnswer: 1\/780","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x. Let a(i) = -1254 + 519 + 18*i**2 - 21*i**2 - 474. Give h(a(u)).\nAnswer: 6*u**2 + 2418","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34308.4 + -34310. Put x, -1\/5, 0.16 in ascending order.\nAnswer: x, -1\/5, 0.16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 6:28 PM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -76, -171, -304, -475, -684?\nAnswer: -931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 22, -24, 9 in decreasing order.\nAnswer: 22, 9, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 935981594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of 35 + 13\/2*o**2 + 0*o. Let z(p) = 3*p. Calculate f(z(y)).\nAnswer: 39*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c**3 - 2*c. Calculate the remainder when 289\/10*2 - (-1)\/5 is divided by l(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -623219*o**2 + 2*o - 13. Let y be 5 - -1*(1 + -2 + 0). Let r be n(y). Let v = -16171509 - r. What is v rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -369 = -37*f - 40*f - 46*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 457677?\nAnswer: 3, 11, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3969541663.\nAnswer: 29, 331, 413537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 4*w + 84, -w = -0*j - j + 43. Calculate the greatest common factor of j and 352.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 4*r**3 + 2*r**2 + 7*r - 2. Let b = -92 + 98. Let c be p(b). Let o = 3699 - c. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 114*m**2 + 112*m**2 + 115*m**2 - 343*m**2.\nAnswer: -2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4888767 divided by -1\nAnswer: -4888767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -0*u - 1. Let o = 306 - 304. What is the nearest to o in u, -0.3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, g: 11, y: 8}. Give prob of sequence ggyy.\nAnswer: 154\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - 17. Is 14 a factor of z\/(-2)*(-316)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -53, -1, 56, 2\/9, 9, -9, -5?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 3\/2, 0.09, -7\/5 in descending order.\nAnswer: 4, 3\/2, 0.09, -7\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 3570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-14)*-20)\/(-29*44\/4466).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258 = 2*o + 36. Let q be (-26)\/(-39) + (-76)\/o. Does -1 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13809000 to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 5*j**2 - 5*j + 4. Let b be i(3). Solve 3*o = -f + 4, -b*f + 5*o = -3*f + 35 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 143280 and 26580.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62793, 251185, 565173, 1004757?\nAnswer: 1569937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 8 = -4*a - s, 3*a = -3*s + 12. Let h be 1\/(a\/(0 - -20)). Solve -3*b + 5*p + 28 = -0*b, h*b + 5*p + 20 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10*(-37)\/1480*-48\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -134651*j**2*n**3 + j**2 + 441312*j*n - 8*n**4 wrt n.\nAnswer: -807906*j**2*n - 96*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 + -3*1\/3. Let b(t) = -3 - 4 + 2*t - 5 - 6*t. What is the remainder when 22 is divided by b(i)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (3 + 3 + 4 - -1) - -18?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1312 in 0.4, 0.5, -0.2, 5\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/9)\/(2\/(-6)). List the prime factors of (-56)\/(-21)*(-33)\/d.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 106.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -376*u + 375*u - 28, 64*s + u = 108 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33384 and 624.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 310\/959 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u + 119. Suppose 3*a - 4 + 19 = 0, k - 2*a = -23. Let m be w(k). What is the highest common factor of m and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3 + 0*x**2 - 930*x - 8*x**2 + 922*x - 1 + 9. Let k(y) = -3 - 1 + 17*y**2 - 7 + 17*y. Determine 6*k(u) + 13*l(u).\nAnswer: -2*u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*o = 4, 0 = -4*b + 3*o + 48. Calculate the greatest common factor of b and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 z when three letters picked without replacement from cpccppzzccppcpzpz?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 719079?\nAnswer: 719079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -76 + 75.8. Which is the closest to -2\/5? (a) 3 (b) 2\/7 (c) -2 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 4*a + 2*w, -8 = 2*a + 3*w + 4. Let m(x) = -20*x + 43. Let c be m(a). Suppose -4*y = 4*b - 124, c = 3*y + 2*y + b. Is 11 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 5. Let o be f(3). Let g(w) = -4*w - 47. Let b be g(-13). Solve b = o*t - 3*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*d = -18, 6*o - 45 = o + 2*d. Let b be (-3)\/o - 4\/6. Put 0, -4, b in ascending order.\nAnswer: -4, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - (-20)\/12)*-12. Suppose 2*u + 2*u + 19 = -z, -g*u + 47 = -5*z. Which is the fourth smallest value? (a) 4 (b) z (c) -1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, -13, -3, 3, -0.2, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-29)\/((-522)\/(-300))*(-12)\/5. Calculate the highest common divisor of b and 260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 - 766640*r.\nAnswer: -4*r*(r + 191660)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*n - 62*n = -5. Let z be (-13)\/(-2) + (-2)\/(-4). Let j = n - z. Let m(w) = -3*w. What is m(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 378065*y + 379 = 377880*y - 5171 for y.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -9, 3 in ascending order.\nAnswer: -9, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, z: 6, a: 1, j: 4}. What is prob of sequence jjza?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/7 of a week in hours?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/33 and -67\/10211775.\nAnswer: 112329525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = 1546 + 7292. Is p a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 106052, 106323, 106622, 106949, 107304?\n\"Answer: 14*u**2 + 229*u + 105809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 2.13?\nAnswer: 6.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -1, 0, 1050 in increasing order.\nAnswer: -5, -2, -1, 0, 1050","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -0.373?\nAnswer: -0.373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1017434 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 709?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -58*p + 1246. What is c(21)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 + 233 = -80*s - 81. Let j be (-2)\/(-5) - (-4)\/(-10). Which is the closest to s? (a) -3 (b) 4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2320)\/(-6))\/29 - (-4)\/6\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.019 in -0.4, 7, 113\/34, -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -4*j**3\/3 - 844. Let v(n) = -n + n - n + 0. Calculate d(v(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/(9 + -4) + 5451\/3192. Let q = 1\/152 + d. Let t = -9.22 + 0.22. Which is the closest to 1? (a) t (b) q (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 + 249*k - 83*k - k**2 + 0*k**2 - 78*k - 87*k as o*k + j + p*k**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - 4\/(-3)*((-18)\/20 + 45\/(-75)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 6:53 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -5*d**2 + 17. Let s(w) = -6*w**2 + 17. Let l(z) = 7*j(z) - 6*s(z). What are the prime factors of l(0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 3*f**5\/7 + 39*f**4\/7 - 534*f**3\/7 + 1284*f**2\/7 - 792*f\/7 = 0.\nAnswer: -22, 0, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b + 5*b + 2*b)*(2*b**3 + 0 + 0) + b - b + b**4 + 4*b**4 - 4*b**4 - 2*b**4 + 4*b**4 - 2*b**4 + 2*b**4 - 235*b**3 + 107*b**3 - 3351*b**4 + 128*b**3.\nAnswer: -3344*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 5*a + 14447, z + 18064 = 6*z - a. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2*j = -12. Suppose -j*n = -n + 8. Let q(c) = 5 - c**2 - c + 4*c**2 - 8*c**2 - c**3. Give q(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*10\/75)\/(44\/(-20)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 131*c**2 - 22. What is the hundreds digit of y(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04*-0.2\nAnswer: 0.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -0.02 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1470 * 57.\nAnswer: -83790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-533)\/164)\/(2\/8).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-4))\/((-3)\/18). Find the third derivative of -q**2 + 8*q**k - 13*q**3 + 7*q**2 - 2*q**2 wrt q.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1423*u**3 + 1336*u**3 - 4168*u**3 + 1416*u**3 - 2*u**2.\nAnswer: 7*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4387242618 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53*3.7.\nAnswer: -196.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(190)*-1 - -5*sqrt(190)*-1)\/(-3*sqrt(70)\/sqrt(847)*-6).\nAnswer: -77*sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7972794 to the nearest integer?\nAnswer: 2824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82 (base 11) to base 9.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 427570.97767894 - 1423.27780294. Let g = -426147 + m. Let v = g - 0.7. Round v to 5 decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, r: 1, p: 4, l: 1}. Give prob of picking 1 d and 1 p.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 112*q**2 - 49. Let k(t) be the third derivative of -7*t**5\/60 + t**3\/2 - t**2. Let c(w) = -3*h(w) - 49*k(w). Let v(b) = 2*b**2. Determine c(v(x)).\nAnswer: 28*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 220*s**3 + 37*s**3 - 50*s**3 + 202*s - 50*s**3 wrt s?\nAnswer: 942*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (95 + 78 - 48)*(14*r**2 + r**3 - 14*r**2).\nAnswer: 125*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57730 + 3*o + 57730.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -11\/4, 0.68, 3\/5, -8?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 2, 1 in ascending order.\nAnswer: -5, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - -5) + 7 + 5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/16 and -109\/15704.\nAnswer: 31408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 275\/44*-40*(-234)\/(-975).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8\/15 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7282 and 13076486?\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5 + 2*sqrt(2)) + 1.\nAnswer: 10*sqrt(2) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 554800 to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 - 18*g**2 + 24*g.\nAnswer: 3*g*(g - 4)*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 5:43 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6425712757?\nAnswer: 5413, 1187089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 - -113. Which is smaller: 80 or o?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -13*z + 28. Is w(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vfzrfrfvvvfffvrfrf. Give prob of picking 3 f.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3071 = 12*d - 505. Let k = -294 + d. Solve 23 - 3 = -k*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 336*p**2*s**2*y - 7*p**2*s*y - p**2*y + 2*p*s**2*y - 3*p*s*y**2 - 2*s**2*y**2 + 3*s*y wrt s.\nAnswer: 672*p**2*y + 4*p*y - 4*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 160970600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 11*c**2 + 24*c + 37. Give z(13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 4:05 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, t: 1, r: 1, j: 1, h: 1}. Give prob of sequence ht.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -17*a**2. Let u(p) = 4*p**2. Let q(n) = 2*g(n) + 9*u(n). Let s(r) be the second derivative of 11*r**3\/6 + 31*r. What is s(q(c))?\nAnswer: 22*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 776784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11736 is divided by 722.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22517604, 45035272, 67552940, 90070608, 112588276?\nAnswer: 135105944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 0.261571.\nAnswer: 0.1046284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 3*n**2 + 310*n - 3. Determine u(-16).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 4*x + 6. Let t be u(-5). Let z(g) = 24*g**3 - 9*g**3 - 13*g**3 + t + 2*g + 3*g**2. Suppose -8 = -3*p + 7*p. What is z(p)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 + (1 - 4) - -2) + -4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/26222 and -53\/29822?\nAnswer: 390996242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 2\/9, -2, 0.4 in increasing order.\nAnswer: -2, 2\/9, 0.4, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**9\/p)**43 assuming p is positive.\nAnswer: p**344","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*n = -1706, -4*c = 5*n - 138 - 1240. Does 45 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 24*m**2 - 24*m + 28. Let f be g(23). Suppose s = 4*s + f*b + 32, -4*b - 4 = 0. Let w(v) = 1. Let u(n) = n + 4. Determine s*w(i) + 2*u(i).\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1683 (b) 1.6 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 (base 13) in base 5?\nAnswer: 12223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8920, -17824, -26716, -35596, -44464, -53320?\n\"Answer: 6*d**2 - 8922*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72820, 145655, 218492, 291331, 364172, 437015, 509860?\nAnswer: 582707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27.2 - -27.2. Let s = 1 - 0.1. Which is the second smallest value? (a) -2 (b) s (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (48\/9)\/1*-3. Let i = o - -32. Is 13 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14539819 + 14539820.89999905. Let c = -20.9 - -19. Let i = c + b. Round i to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/42 + 66\/(-105)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247357 is divided by 46.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 365946, 365947, 365948, 365949, 365950, 365951?\n\"Answer: i + 365945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2206\/50*15\/162*-3. Let h = -167\/9 - k. Find the common denominator of h and -51\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i. Let n(g) = 15*g. Let z(r) = 3*n(r) - 6*q(r). Let d(w) = -5*w - 4. Let p(b) = 4*b + 3. Let h(x) = 3*d(x) + 4*p(x). Give z(h(u)).\nAnswer: 27*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4726 + -4724. Put -69, -0.2, k, 3\/4, -2\/13 in ascending order.\nAnswer: -69, -0.2, -2\/13, 3\/4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 4*p - 14. Suppose 2*x - 5 = -1. Suppose -x*j = -2, -7*b - 3*j - 29 = -3*b. Is n(b) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17676973777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -121181, -483051, -1086167, -1930529?\nAnswer: -3016137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.97 - -1.07. Let c = -51.9 - k. What is the second biggest value in c, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -0.0527 (c) 0.4 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 4*o + 28 = 0. Let h(u) = -u**3 + 13*u**2 + 14*u + 4. Calculate the smallest common multiple of 1 and h(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42 and 406.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 854, 1711, 2568, 3425, 4282, 5139?\n\"Answer: 857*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*b + 202 = -697 - 325. Suppose 4*t + 5*p + 5 = 0, -5*p + 0*p = 3*t + 10. What is the smallest common multiple of t and b?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1533680?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6545234+-3\nAnswer: -6545237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 - 0.2. Suppose 0 = 2*k - 4*k - 4. Let d be (-640)\/(-576)*(-3)\/60*4. Sort d, h, k in decreasing order.\nAnswer: h, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-three thirds of a year?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55296 and 44334?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 6:49 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 - -39.0042. What is r rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -166 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 5 = 0, -5*d - 12086705 = -4*y + 147493290. What is y rounded to the nearest 1000000?\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 162522, 325221, 487920, 650619?\n\"Answer: 162699*x - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74370*l - 74323*l - 1034 = 0 for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -80 - ((13 + -59 - -61) + (-16 - 3))\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 576 + -566. Solve k + 4*k - r = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4*m = -26, 3*m - 3 + 24 = 3*p. Find the second derivative of 28*v - 69*v**p - 74*v**2 + 129*v**2 wrt v.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r + 12*r - 109 + 253 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 12) to base 6\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1761289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -61 + 54. Sort 5, k, 3.\nAnswer: k, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47657642401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25728 is divided by 1942?\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73988 = -2146*q + 155536 for q.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-16)\/(-10))\/(3\/(-15)). Let y = -2 - u. Is ((-8)\/y)\/((-16)\/408) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**16)\/c)\/c*c**(-8\/9))\/(c\/c**(2\/3))**(-49) assuming c is positive.\nAnswer: c**(274\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2804285\/37 or -75790?\nAnswer: -75790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 410929 or 410940?\nAnswer: 410940","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 552505 is divided by 103.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21913320089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 != 171?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2944*a**2 - 2. Is l(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 6*j**2 - 8*j + 28. Let c be s(4). Suppose -25*q = -c*q + 10653. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 5*a**2. Let i(v) = -2 - 4*v**2 + 5 - 10*v**2 + 5 - 5. Give u(i(n)).\nAnswer: 980*n**4 - 420*n**2 + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)*2 + sqrt(85))\/sqrt(5)*-4.\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 20.83, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(-5*b + 58*b - 110*b).\nAnswer: -114*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -k**5\/10 + 3*k**4 + 7*k**3\/2 + 84*k. Find the second derivative of x(z) wrt z.\nAnswer: -12*z + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27356 and 3501568?\nAnswer: 3501568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 2*y**2\/3 + 566*y\/3 + 1124\/3 = 0.\nAnswer: -281, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1358 + 2281. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (43750\/(-15))\/(1\/(-480)). Round c to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 - 0.5. Let o(v) = -2*v + 1. Let d be o(-3). Let f = -103 - -103.5. What is the smallest value in d, q, f?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j + 11. Give x(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = 6*h - 9. Let c be (8\/(-14) + 0)\/(h\/(-63)). Solve c*l - l + 3 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138156?\nAnswer: 2, 3, 29, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -13 - 1 - -3 - -18\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and 3729.\nAnswer: 3728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51876871 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from duyuglgl. Give prob of picking 1 g and 2 l.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18545, 37082, 55593, 74078, 92537, 110970?\nAnswer: 129377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*q**5\/5 - 183*q**4\/5 + 1002*q**3\/5 - 1194*q**2\/5 + 159*q\/5 + 45 = 0. Calculate q.\nAnswer: -25, -1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 5:04 AM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -1\/3, 2.03, 2\/5, -2\/7 in descending order.\nAnswer: 2.03, 2\/5, 0.3, -2\/7, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v + 30. Let p be u(0). Suppose 7*o - 12*o = p. Sort -4, o, 5 in ascending order.\nAnswer: o, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -18220*f. Let v(p) = -26*p - 5. Give v(k(a)).\nAnswer: 473720*a - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 10 - 25 = 0. Put j, -1, 5 in ascending order.\nAnswer: j, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3907\/4 - ((-33)\/(-12))\/(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**9\/(s\/(s*s**(4\/5))))**41)**12 assuming s is positive.\nAnswer: s**(24108\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -723 in 12, -2\/9, -0.1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2, -30, -126, -322, -654, -1158?\n\"Answer: -6*t**3 + 4*t**2 - 2*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -36 + (0 + 16 + 7 - 13)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22214461 + -46?\nAnswer: -22214540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -612 + 407. Let u = 2176 + -2130. Let t = u - q. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5, -76, 3, 1, 2, 93 in increasing order.\nAnswer: -76, 1, 2, 3, 5, 6, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157*v**2 + 13*v**3 + 2*v**3 + 157*v**2 - 476*v**2 + 162*v**2.\nAnswer: 15*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*q**3*r**4 - 124*q**3*r**2 - q*r**4 - r**5 - 2 wrt r?\nAnswer: -192*q**3*r - 24*q*r - 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*r - 18*r - 4*s - 5 = 0, -2*r = -4*s - 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 216108, 432278, 648450, 864624, 1080800, 1296978?\n\"Answer: r**2 + 216167*r - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 4. Find the third derivative of h**2 + 5*h**6 + 8*h**5 - r*h**6 - 8*h**5 wrt h.\nAnswer: 120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -1015*v - 9. Let g(q) = -451*q - 4. Let p(h) = -9*g(h) + 4*m(h). Let w(l) = 8160*l. Calculate w(p(j)).\nAnswer: -8160*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 - 48 = -12*b. Let o(z) = 2716277*z - 216. Let d be o(b). Round d to the nearest one million.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73726*w + 280*w**2 - 73726*w.\nAnswer: 280*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3517890?\nAnswer: 2, 3, 5, 149, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -6*t - 8*t + 19*t + 20*t. Let r(m) be the first derivative of 0*m - 1\/3*m**3 + 0*m**2 + 3. Calculate r(c(w)).\nAnswer: -625*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - s. Let d = -149 + 135. Suppose i - 5 = 2*i, -3*h - 5*i = 31. Let x(l) = 40*l**2 - 24*l**2 - 1 - 22*l**2 + 6*l. What is d*y(g) + h*x(g)?\nAnswer: -2*g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (182\/(-195))\/((-125)\/(40625\/130)).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - w**2 - w. Let f be (1\/12 - (-10)\/15) + 0. Let g(p) be the first derivative of -4 + p**2 + 0*p + f*p**4 + 2\/3*p**3. Give a(k) + g(k).\nAnswer: 2*k**3 + k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 130 - -2020433231?\nAnswer: 2020433411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/73004 - 387943277\/1533084. Let g = p + 253. Which is greater: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 62, 93, 176, 335, 594, 977, 1508?\n\"Answer: 4*p**3 + 2*p**2 - 3*p + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*r**2 - 248400928935 + 248400928935.\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 12:59 AM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4712 + 103767\/22. Calculate the common denominator of ((-2123)\/(-48))\/11 + (3 - 6)\/9 and y.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 477 = -h + 4*h - 5*b, -3*h + b = -489. Let f = h - 150. Calculate the highest common divisor of f and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3\/7 - 10509*w**2\/7 - 1584648*w\/7 - 61089444\/7.\nAnswer: -3*(w + 78)**2*(w + 3347)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of r**3\/3 + 8*r**2 + 19*r. Let s be y(-8). Solve 2*n - 3 + 9 = s for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.92 + 1.9199612. What is q rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*z = 18*z + 25 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 c when two letters picked without replacement from vcmvhmhechcehemhev?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 t, and 1 h when three letters picked without replacement from chtjtplcp.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 17*b**2 + 61*b + 75. Let j(n) = -11*n**3 + 186*n**2 - 674*n - 825. Let q(f) = -69*h(f) - 6*j(f). Let q(p) = 0. What is p?\nAnswer: -1, 5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 5*r + 6. Let q be t(-5). Let m be (1 - -7) + q*(-4)\/6. Let s be 3\/((-3)\/2)*1. Sort s, m, 2.\nAnswer: s, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(((-3)\/(-1))\/(-15)). Suppose -v*w + 1000 + 55 = 0. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1082 - -1334. Calculate the highest common factor of 225 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -314*25.\nAnswer: -7850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 12*y + 9. Let c be m(11). Let q be (-1)\/(c\/(-5)) - 1\/4. Is q at least as big as 5\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 1 - 3 + 3 - 28*a - 3. Is v(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -5, 21884, -21 in ascending order.\nAnswer: -21, -15, -5, 21884","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-28 - -50)\/(2\/(-2)). Let b be ((-7)\/(-14))\/(1\/j). Let c(z) = 2*z + 11. Give c(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, d: 3, s: 4, e: 2, p: 2, h: 2}. What is prob of picking 1 h, 1 e, and 1 k?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 2355\/(-27))*1. Let i = z - 86. Let q(s) = -s**2 - 4*s - 2. Let t be q(-3). What is the nearest to t in -1, -3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - 6*u + 2. Let v = 8 + -5. Let m = 12 - v. Calculate the least common multiple of p(-5) and m.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -5*u. Let d(v) = 0 + u - 2*v + 0. Let x(m) = 3*m. Determine x(d(y)).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -48 - -61. Suppose 3*m - 4*t - 28 = b, -30 = -2*m + 2*t. Solve -3*y + 0*y = 2*c - m, -5*c = -4*y - 13 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.08281 + -337.78281. Let v = -291 - c. Round v to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m**3 - 15179265*m**2 + 11520496707375*m + 11520511886645 = 0. What is m?\nAnswer: -1, 1517927","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-156)\/(-208))\/((-1)\/(-8628))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 5*x**2 + 5*x - 5. Calculate o(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ogggicodg. What is prob of picking 1 i, 1 d, and 1 o?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/200 and -41\/100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9 or 88\/9?\nAnswer: 88\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-56570)\/16*(-44)\/(-110). Suppose 4*v - 5*v = 1390. Let o = j - v. What is the common denominator of -35 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 27*w**2 + 25*w - 1568. Determine q(-20).\nAnswer: 732","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s**2 + 0*s**2 + s**2 - 3*s + 2*s**2 + 3*s + (1 + 2*s - 1)*(s - 2*s - s) + 2 - 2*s**2 - 2 in the form f*s + t + v*s**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (2 - -2)) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzczcopzzzzzczz. Give prob of picking 3 z and 1 c.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-4) - 1)*-28. Let h = 24 - u. What is the smallest common multiple of 45\/(-50)*-4 + 2\/5 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 - 2*p + 2*p)*((2 - 1 - 5)*(-10 - 1 + 2) + 3 - 1 + 0) - p**2 - 3*p**2 + 2*p**2.\nAnswer: 74*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kwff. What is prob of sequence ffwk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, -175, -696, -1739, -3484, -6111, -9800, -14731?\nAnswer: -21084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/((-63)\/14))\/(6\/(-27)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 33, 0.4, -4404, 386?\nAnswer: -4404","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7648.84 tonnes to milligrams.\nAnswer: 7648840000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1, 474.022, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r*r\/r**(2\/35)*r*r**(-1\/18) assuming r is positive.\nAnswer: r**(2449\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 4:23 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*p - 118*p + 64 = 0. Factor -4\/11 - 2\/11*r + 2\/11*r**p.\nAnswer: 2*(r - 2)*(r + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + f + 8. Suppose -3*h = -0*h. Let d be o(h). Suppose -4*y + 4 + 4 = 0. Solve -y*p = -6*p - d for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -b**3\/3 + b**2\/2 - b + 1. Let y(g) = 5*g**2 - 6*g + 6. Let v(n) = -6*a(n) - y(n). Let q(w) = 3*w. Give q(v(h)).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.049 and 133?\nAnswer: 6.517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - (-98)\/(-7))\/(3\/(-2)). Solve 0 = -13*d + 9*d - m for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -1\/2, 1\/2, 0.13?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 8*l**2 + 7*l - 7. Let o(r) = 7*r**2 + 6*r - 6. Let i(h) = 6*b(h) - 7*o(h). Let k(d) = d**2. What is i(k(v))?\nAnswer: -v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 66 - 33. Suppose -h = -q - 24. What is the greatest common divisor of h and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -625*k + 8753. Let m be o(14). Solve 4*v = -3*g + 28, -m*v + 2*g + 14 - 10 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 7 + 3)*(-88*q - 202*q + 116*q) to the form o*q + z and give o.\nAnswer: 1044","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - i + i)*((-i + i - 2*i)*(-2*i + 4 - 4) + 4*i**2 + i**2 + 10*i**2).\nAnswer: 19*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**3 + 92*i**2 + 88*i + 37. Is c(-36) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of 13*g**2 + 0*g + 23\/6*g**3 + 7\/15*g**5 + 0 + 0*g**4. Find the first derivative of f(c) wrt c.\nAnswer: 56*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 - -42. Suppose 5*f + g - 11 = 0, g + 1 = l. Let r be (-285)\/1430 + f\/13. Which is smaller: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2178) - -2*sqrt(2178)) + -3 + sqrt(2178) + sqrt(8)*-2 + sqrt(12)\/(sqrt(18)\/sqrt(3)) + -5)**2.\nAnswer: -2064*sqrt(2) + 33346","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nttgfttttnfttttntttg. What is prob of picking 1 f and 1 t?\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*n + 1 + 19 = -60. Which is the biggest value? (a) -4 (b) -0.4 (c) 1\/14 (d) n (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2086a68 (base 12) in base 11?\nAnswer: -3520437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 4720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 945 by -5.\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 296*p**5*w**3 - 6*p**4*w**3 - p**2*w - p*w**3 - 6*w**3 - 94 wrt p?\nAnswer: 17760*p**2*w**3 - 144*p*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 times -5117794?\nAnswer: -4606014.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.07554 (b) 3 (c) 5 (d) 1 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -320*l*z**4 + 77*l*z**2 + 27798*l*z - 13*w*z**3 - 42*w*z wrt z?\nAnswer: -3840*l*z**2 + 154*l - 78*w*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.6960413 to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 584892 and 1039808?\nAnswer: 9358272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*l**2*u**3*y**3 + 3*l**2*u**2*y**3 + 2*l**2*u*y**3 - 84*l*u**2*y**3 - 67*l*u**2*y**2 + 4880*u**3*y**3 wrt u.\nAnswer: -114*l**2*y**3 + 29280*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -8.5. Let r = 1.6 + h. Let p = 4 - r. Which is the nearest to p? (a) 0.5 (b) -5 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*o - 5*o - 3*o)*(4 - 2 - 3)*(-o**2 + 0*o**2 - 3*o**2) to b*o**3 + j + p*o + d*o**2 and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -117 - 2135618.1\nAnswer: -2135735.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x - 4. Let f(r) = -r**2 - 7*r - 5. Let h be f(-7). Let y be 96\/(-30) + (-1)\/(-5). Let k = h - y. What is n(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/4*-114*4\/60.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2056+56635011\nAnswer: 56635011.2056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310799 is divided by 1406.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/10 of a kilometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 86*f**2 - 80*f + 25. Let r(j) = -43*j**2 + 40*j - 10. Determine -5*r(v) - 2*t(v).\nAnswer: 43*v**2 - 40*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9798352, 19596698, 29395044, 39193390, 48991736?\nAnswer: 58790082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -3\/2, -0.4, 9106, -2\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-182)\/21 - (-4)\/6. What is the units digit of 30 - (-4)\/j*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 264.6439nm to micrometers.\nAnswer: 0.2646439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h + 7. Let d(m) = -5. Let j(z) = 1. Let l(s) = 2*d(s) + 9*j(s). Determine g(t) + 5*l(t).\nAnswer: 3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26820 by -4.\nAnswer: 6705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 12:04 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (6656\/(-1216))\/(100\/950)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48770?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/4*(-64)\/(-240)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*h + 38. Suppose m = h*m - 84. Calculate the remainder when m is divided by -6*3*(-1)\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 0 + -4 + 3 + -1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -0.3, 1\/4, 21?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 0*p**2 - 103*p - 1 - p**2 + 110*p. Let u = 2 - -3. Suppose u*q + 38 = 5*i - i, 2*q = -4. Determine y(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y - 8*y + 21 = 3*b, 2*y = 5*b - 26. Solve -w = -5*w - b for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 2*t - 75. Let q = -13 - t. What is the least common multiple of q and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 321 - 318. Suppose -o*s + 8 = -6*d + 2*d, 3*d + 27 = -3*s. Let h(u) be the third derivative of u**5\/60 + 5*u**4\/24 + u**3\/6 - 2*u**2. Determine h(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 6, -32*l + 2*g + 8 = -28*l. Let s(r) = 2*r - 11. Let t be s(8). Suppose l*a = t*a - 9*a. Solve -p - 2*p = a for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-90)\/(-15) + -7 - (-2 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n - 5*n = 17570. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k**4 - 1613*k**2 - 6017*k?\nAnswer: 12*k**2 - 3226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1394536)\/125928 - (-4)\/162*3.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aal when three letters picked without replacement from {l: 5, a: 7}?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -1502.7 and -1.4.\nAnswer: -1504.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from awuuwwvwauwiwi. What is prob of sequence wuiu?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(63))**2 + (sqrt(14)\/sqrt(2))**2*2.\nAnswer: -6*sqrt(7) + 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -211, -214, -217, -220, -223, -226?\n\"Answer: -3*x - 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 138935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3082\/1365 + 72\/91. Let f = -9\/5 - g. Which is bigger: f or -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 1 - 4 = f, -4*h = -4*f. Let s(k) = -8*k**2 + 4*k**2 - 4 - 4*k + f*k**2. What is the units digit of s(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 298580.\nAnswer: 2, 5, 14929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-4*(-4)\/(-24)*3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-28 + (6 - -16) + 58)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + 17*r - 87. Let y be u(-26). What is the greatest common factor of y and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 0. Let u(x) = -d - 2 - x**3 + 4. What is the units digit of u(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 233 - 233. Let z(t) be the third derivative of -1\/140*t**5 + 0*t**4 + 8*t**2 + m + 1\/1470*t**7 + 0*t**3 + 1\/420*t**6 + 0*t. Factor z(r).\nAnswer: r**2*(r - 1)*(r + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 19743 and -1905.0277.\nAnswer: 17837.9723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -2, -818, -18, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1286, 2001, 2680, 3323, 3930, 4501, 5036?\nAnswer: 5535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (150\/75)\/((-2)\/(-5))*-5?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1680 is divided by 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55, 3651, 713 in descending order.\nAnswer: 3651, 713, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13389 is divided by 1478?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -186 - 85*q + q**3 + 44*q - 11*q**3 - 17*q**3 + 42*q wrt q.\nAnswer: -81*q**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7862 + 3*a**3 + 3*a**3 - 11*a**3 - 3927 + 0*a**3 - 3935.\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3a047 - 3?\nAnswer: 3a044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36986525?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15200 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 4:14 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 41719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hayyyhyhaayyoy. Give prob of sequence ayh.\nAnswer: 3\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -80*j**6 - 2*j**3 - j**2 - 85*j wrt j.\nAnswer: -9600*j**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1788 + 1935. What is the remainder when z is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 s when two letters picked without replacement from {g: 2, x: 4, s: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**3\/2 + 25*y**2\/2 - 123*y\/2 + 171\/2 = 0. Calculate y.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o. Let v(f) = 81*f + 364. Let t(k) = 4*p(k) + v(k). Let l(a) = -42*a - 181. Let n(u) = -7*l(u) - 4*t(u). Differentiate n(b) with respect to b.\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35508?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3920 and 2711905.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -5*y**2 + 4. Let s(k) = -k**3 + 3*k**2 + 2. Let m be s(3). Let d be f(m). Let w = -12 - d. Calculate the smallest common multiple of 9 and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001004 to six decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*v**2 + 12*v**2 + 6*v**2 + (0 + v + 0)*(-2 + v + 2) - v**2 - 2*v**2 + v**2 + 7750*v + 27*v**2 - 7750*v in the form b*v + o + x*v**2 and give x.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 43674427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 16 = -0*o - o, o = -1. Let c(n) = -n + 4. Let g be c(3). Calculate the highest common divisor of k and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 0*w + 4*g - 28, -w + g = 3. Let r(p) = -p**2 + w*p + 0*p + 3*p - 3. Let f be r(4). Solve 5*t + 4 = -f for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p. Let g be (-3)\/(-15) + (-903)\/(-35). Let c(w) be the second derivative of -g*w + 81*w + 0*w**3 - 45*w + 2*w**3. Give i(c(j)).\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 1182*l**2 + 17958*l + 38. Determine m(-15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17490233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of u**5\/4 - 13*u**4\/12 + 83*u**3\/6 + u**2 - 70*u. What is the units digit of b(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/598950 and 119\/188100.\nAnswer: 22760100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 1. Let y be t(-3). Suppose -y*j = -7*j - 7. Suppose 0 = -j*n + 2*n - 25, 18 = -l - 4*n. Calculate the least common multiple of 3 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -7*m**3 + 3*m**2 + 6*m + 1. What is the hundreds digit of r(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3511790 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 9) in base 5?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 15. Suppose -5*g = -138 - 82. Calculate the greatest common divisor of f and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -483?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 9:06 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 1:21 PM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 divided by -20?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 6*w. Suppose w*x = -6*x - 42. Let g(n) = -6*n + 2. List the prime factors of g(x).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4 = 94. Let o = w - -178. Let k = o - 58. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8472\/(-2))\/((-5)\/15). Suppose 27*d - 9*d = b. List the prime factors of d.\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.4 - 0.6. Which is the nearest to 1? (a) w (b) 5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32873073 divided by -32873073\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17773554859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0409 from 376.\nAnswer: 375.9591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 10, -162 in ascending order.\nAnswer: -162, 0.2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 312025933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13680 and 1362?\nAnswer: 3105360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/3 + (2 - 1). Suppose t = r*a - 8, 5*t + a - 2 = 5*a. Solve -o - t = o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (525\/(-1400))\/(6\/4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -282 by 5.\nAnswer: -282\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 314704754 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20034*m**3 - 9994*m**3 + 11771*m**3.\nAnswer: 21811*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.2 - -3.2. Sort h, -9\/5, -4 in increasing order.\nAnswer: -4, -9\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 338 + -14811?\nAnswer: -14473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -5*y + 37, 3*u - 13 = -4. Let v be (8 - 10)\/((-4)\/6). What is the second derivative of -9*p - v*p**3 + 3*p**3 + y*p**5 wrt p?\nAnswer: 100*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 44*v**2 - 393*v + 4. Let i(b) = -43*b**2 + 385*b - 3. Let o(m) = -4*i(m) - 3*j(m). Find the second derivative of o(y) wrt y.\nAnswer: 18*y + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, 5\/18, -17.84, -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -310, -67 in descending order.\nAnswer: 1, -67, -310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(70)*2*-4 + sqrt(70))\/sqrt(10) - (-4*(sqrt(77) + sqrt(77)*1 + sqrt(77)))\/((-1*sqrt(77) - sqrt(77))\/sqrt(7)).\nAnswer: -13*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -k - 3, -6*k + 29*b = 32*b - 27 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 131842333?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9800 and 5757150.\nAnswer: 161200200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -11*t**4\/4 - 2*t**3 - 3*t**2\/2 + 2*t - 99. Let c be q(-5). What is c rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - h + 87 = 0, 4*d + 4*h - 2*h - 72 = 0. Suppose 4*v = -21 + d. Calculate the remainder when (-164 - 0)\/(1 + v + -2) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vqvkqqqqkqqq. Give prob of picking 3 q.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22809, -45921, -69033, -92145, -115257, -138369?\nAnswer: -161481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/4 (b) 0 (c) 21 (d) -16.3 (e) 0.0123\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y + 2*y**2 + 2*y)*(-1048*y + 5812*y**2 + 1047*y - 360*y**2) as d*y**3 + w*y**4 + c + x*y + u*y**2 and give w.\nAnswer: 10904","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 9*n**3 - 7*n**2 + 4*n - 10. Let i be c(6). Suppose -15*d + 499 + i = 0. List the prime factors of d.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -757 - -300. Let i = o - -407. Is i at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 11 = -2*z + 4*b, -13 = -z - 2*b for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*b = 88 - 163 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1862 divided by 2\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.86 times -0.6?\nAnswer: -20.316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.052 - 0.009. Let r = 952.0479 + -952. Let h = r - z. Round h to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6, 1, 3, -73, 2, -13 in increasing order.\nAnswer: -73, -13, -6, 1, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43 and 25?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 359 = -3*o, 2*g + o = 4*o + 175. What is the remainder when g is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 9\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26\/17 - 200\/153. Which is the smallest value? (a) l (b) 5\/2 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 30 = 2*w, 3*m + w - 37 = -4*w. Solve 0 = -m*b - i - i - 10, -3*b + 6 = -3*i for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4285\/268 > -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1625, -1620, -1605, -1574, -1521, -1440?\nAnswer: -1325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -2*m**6\/165 + m**5\/22 + m**4\/66 - 2*m**3\/11 + 132*m. Determine o, given that l(o) = 0.\nAnswer: -1, 0, 3\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82, 291, 698, 1363, 2346?\nAnswer: 3707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 323 and 8287857?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25 - 18) + 2 + 1 + 0?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-11) + (-10)\/(-110)*-64 + 1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 10*g**2 - 4*g + 2. Let a(u) = -12*u + 38. Let x be a(4). Let l be n(x). Calculate the common denominator of 8\/l - 8\/(-2) and 145\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 870.3 to the nearest 10.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -248*l + 464*l - 221*l.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 483947\/4851 - -25\/1617. Let i = o - 100. Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6840, -27443, -61792, -109893, -171752, -247375, -336768?\nAnswer: -439937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5144865056 and 168?\nAnswer: 5144864888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 358?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 938424, 938423, 938422?\n\"Answer: -s + 938425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*g*q**3*z + 11*g*q**3 + 5*g*q**2 - 8*g*q*z + 321*q + 3*z wrt q.\nAnswer: -48*g*q*z + 66*g*q + 10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 1778*u.\nAnswer: -1778*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*k + 42*k + 56*k - 20 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l*l**(-10\/9)*l*l*l*l**(2\/35) assuming l is positive.\nAnswer: l**(1243\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 642*d - 2*s = s + s - 1870, 4*d - 58 = 5*s for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -18518 divided by -226?\nAnswer: 9259\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + 8735433.36?\nAnswer: 8735412.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 53052 - 223?\nAnswer: 52526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 251*c*l**3 - 334*c*l**2 - 2*c*l - 2*c - 11709334*l**3 wrt c.\nAnswer: 251*l**3 - 334*l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 107.9 - 47.2. Let l = d - 19.7. Which is smaller: l or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/3371565 and 10\/33.\nAnswer: 37087215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of 47*r**6\/6 - r**3 + 9*r + 44. Find the third derivative of h(d) wrt d.\nAnswer: 2820*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124187284?\nAnswer: 2, 13, 183709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 605 a factor of 12217370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 143608 to the power of 1\/2, to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 q when four letters picked without replacement from {b: 7, q: 2, n: 4}.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 540 + -516. What is the remainder when 162 is divided by j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1840 - 536?\nAnswer: 1303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/21*10\/(10\/(-21))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 24 - 14 = -6, v = 2*u for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 86258 - 86252. Suppose -20 + 6 = -2*h + 2*y, 0 = -5*h + y + 19. Let l be 5*(-2)\/6*h. Which is the third biggest value? (a) k (b) -6\/5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 62, 149, 282, 467, 710, 1017, 1394?\nAnswer: 1847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -3*o - 13, s + 3*o = 4*o + 2. Suppose -5*r + 36 = s*r. Solve 0 = r*d + 2*b + 14, 2*d + 7 = b - 0*b for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 13*j - 209 = -177, 3*i = -4*j + 53 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-2)\/(-5))\/(28*6\/22713180)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 679648?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, b: 11, c: 1}. What is prob of picking 2 b, 1 c, and 1 k?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k + 5. Suppose 25 = 7*s - 2*s. Is h(s) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -8) + 27 + -34 + (37 - (-13 + 20))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -113*y - 3706. Calculate the smallest common multiple of q(-50) and 234.\nAnswer: 25272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -13*a**2 - 7*a. Let q(v) = -6*v**2 - 3*v. Let r = 3 - 1. Suppose 4*g + r*b = 34, -3*g + g + 5 = -3*b. Let u = g + 0. What is u*q(p) - 3*i(p)?\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 27792608 divided by 13896304?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-2793)*-133)\/(346\/14*1\/(-1))?\nAnswer: -2\/173","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 2. Suppose 594 = -j + y*j. Let l = j + -403. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 15, m + m + 3*o + 11 = 0. Let b be (m + -6 + 0)*-1. Suppose 9 = -3*x - b*z + 4*z, -3 = x - 4*z. Let s(d) = -d - 2. What is s(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.29 and 4.5.\nAnswer: 4.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -705 (c) 5 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 11:11 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.41 - 0.01. Let t = 16 + -14.9. Let v = 0.6 - t. Put j, -1, v in ascending order.\nAnswer: -1, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3*-5*(sqrt(1344) + sqrt(1344)*1 + sqrt(1344))\/((sqrt(48) - sqrt(3)) + sqrt(3) + sqrt(3))*-3.\nAnswer: -5 + 216*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.085 * -1962245\nAnswer: 166790.825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/160 and 57\/176?\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j - 5*x - 24, 5*j - x + 0*x - 10 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pw when two letters picked without replacement from {p: 8, h: 4, v: 1, w: 1, x: 3}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.042419511 rounded to three dps?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - c + 0)*(4 - 3 + 0) - 2*c - 3 + 3 - c + 3*c - c - 22*c - c - 29*c.\nAnswer: -54*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + (-5)\/(-1)*1*(-4 + 3). Let h(y) = 8*y**2 + 2*y + 4. Let u(a) = 7*a**2 + 2*a + 5. Determine g*h(p) + 5*u(p).\nAnswer: -13*p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1336*o**2\/3 - o.\nAnswer: -o*(1336*o + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 68\/1635 and -73\/6269898.\nAnswer: 31349490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215 = -5*c - y, -2*c + c - 2*y = -43. Solve 0 = -p - 48 + c for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6180 and 672.\nAnswer: 346080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 8*x**2 - 23*x - 13. Let k(t) = -3*t**2 + 8*t + 5. Let d(r) = -11*k(r) - 4*l(r). What is d(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in two fifteenths of a minute?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -220212102222 (base 3) in base 10?\nAnswer: -489482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 3*d + 14, -5*l - 41*d = -46*d - 130. Calculate the remainder when 147 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 16564 = 4*d, 5*d = g - 2217 - 1944. Calculate the smallest common multiple of g and 22.\nAnswer: 4136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1370 and 160330004.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7742188 to the nearest integer?\nAnswer: 2782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -22\/3, 11.126, -4?\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of -m**4\/24 + 7*m**3\/6 + 5*m**2. Let n(w) = -3. Let h(c) = -35*c + 1631. Let d be h(47). Calculate d*n(y) - 6*f(y).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**2)\/(z*z*z\/(z**(2\/9)\/z)*z))\/(z*z**(1\/4))**(-1\/6) assuming z is positive.\nAnswer: z**(-401\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dayx when four letters picked without replacement from {u: 1, q: 1, d: 5, x: 1, a: 5, y: 2}?\nAnswer: 5\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/4? (a) 0 (b) 1\/5 (c) -3\/8 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 88102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -2*i - 2*i + 1, 2*i = 3*j - 13. Solve 0 = j*g + 11 - 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211*m - 7525169 = -18*m - 0*m. What are the prime factors of m?\nAnswer: 17, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -8422 + 4183 + 4194 - 40*s. Let q(a) = a. What is t(q(y))?\nAnswer: -40*y - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -12483.509099753 and -0.3.\nAnswer: -12483.809099753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 4*y = -9*y + 15, -17 = -4*c + y for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y - y - y + 1. Let h be 57\/(-21) + 12\/(-42). What is the units digit of f(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1053362 + -3344?\nAnswer: 1050015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-369)\/27 - -6) + 7.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 938 is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - (sqrt(475) + 2)) + sqrt(19))**2 + -3 + sqrt(1900)*4 + -4.\nAnswer: 168 + 52*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 16 - 6 + 20*s**2 - s - 25. Is y(-3) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 130 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 6*q**2 - 525*q + 3273. Give x(9).\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100100001000110101101011000 - 1?\nAnswer: -11100100001000110101101011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 7:40 AM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 28*f - 5. Let h be (250\/6)\/5*3. Suppose 4*x + 15 = 5*s, s - 6*s + 2*x = -h. Is t(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 589, 2592, 5939, 10636, 16689, 24104, 32887?\n\"Answer: j**3 + 666*j**2 - 2*j - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 4:22 AM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-10))\/((-13)\/1040*-8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/5))**49*y**(2\/5)\/y**(-2\/3)*((y*y**(-6))\/y*y**(3\/10))**(-42) assuming y is positive.\nAnswer: y**(3313\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 2*k**2 + 313*k - 1806. Give w(0).\nAnswer: -1806","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from dkidikdldkdldddk.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8917, -8988, -9057, -9124, -9189, -9252, -9313?\nAnswer: -9372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 - 28 - (-26 + 25)\/(2\/82)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/610*(-390)\/(-12). Let h = -3263408832\/3355 + 4863507\/5. Let v = h + g. Calculate the common denominator of v and -97\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1007093734.\nAnswer: 2, 547, 920561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2694, -5120, -7440, -9660, -11786, -13824?\n\"Answer: -v**3 + 59*v**2 - 2596*v - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.02 - 3.02. Let y = 32.995 - 33.055. Which is the fourth biggest value? (a) 3 (b) z (c) 4 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d - 25. Let s be r(10). Which is the second smallest value? (a) -2 (b) 3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -245 divided by 256\nAnswer: -245\/256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ht when two letters picked without replacement from htuhuhhhthuhu?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v. Suppose -4*i + 20 = 6*i. Let c(q) = q - 5. Let h be c(7). Let x(s) = i*s**h - 13*s**2 + 0*s**2. What is x(y(l))?\nAnswer: -44*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 52, -0.1, -3, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -33 at least -26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 0, -3, 293, 16, -20 in decreasing order.\nAnswer: 293, 16, 5, 0, -3, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -u**4\/24 - u**3\/2 + 3*u**2 - 1. Let h(t) be the second derivative of v(t). Let w be h(-3). Are 2\/9 and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 0 - 4 + (3 + 2 - 7)*(1 + 1 + 0))*(-169 - 189*m + 169).\nAnswer: 378*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(120))\/sqrt(5))\/(-1*sqrt(800)))**2 - (((sqrt(75) + 1)**2 + 4 - sqrt(75)) + 5).\nAnswer: -8497\/100 - 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4*j - 59 = -1143, j = 3*g - 811. Is 6 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2 + 7*x - 5. Let n be j(-4). Which is smaller: -2 or n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 4)*(-1129*u + 545*u + 498*u) as o + k*u and give k.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 66.1 * 14\nAnswer: 925.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 71534 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -o - 0. Let m(d) = -5*d**2 - 2*d - 1. Let p be m(o). Let r = p + 5. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(200) + sqrt(2) + -4 + sqrt(2) + sqrt(2) + sqrt(2) + 1 - (((sqrt(16) - (sqrt(112)*2 + sqrt(112))\/sqrt(7)) + sqrt(16))\/(sqrt(16)\/sqrt(8)))**2.\nAnswer: -15 + 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 2, 0 = 2*n + 5*h + 12 - 446. What are the prime factors of n?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3458\/5 < -693?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9036)\/(-378) + (-4)\/(-42). Suppose b*s - 27*s = -1182. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 170 = 3*n. Is n a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*2\/(-3)*(49320\/384)\/137?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49 by -22.\nAnswer: 49\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + -2*sqrt(77)*4)\/sqrt(11).\nAnswer: -7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -328*n = -339*n + 88 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 815 and 2619736.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 14. What is the nearest to j in -0.1, 1\/4, -1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -23, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4*n - 2. Let p(z) = z**2 - 3*z + 3. Let r be (-52)\/(-24) + (-1)\/6 + -4. Let k be (1\/r - 0)\/(70\/(-420)). Calculate k*c(m) + 2*p(m).\nAnswer: 2*m**2 + 6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 14 - 4 - 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*u**5 + 8*u**4 + u**2 - 197 wrt u?\nAnswer: 420*u**2 + 192*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 2:20 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*k - 63 = -79*k for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14218?\nAnswer: 2, 7109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((-10)\/(-8))*5. Let w be (11\/p)\/(2\/(-8)). Suppose -58 = 3*d - 4*x - 433, -2*x + 478 = 4*d. Calculate the highest common factor of d and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -752*d - 3. Let s = -107 + 111. Suppose 0 = 11*j + s + 29. Is v(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3768*c + 40. Let x be 4\/((-6)\/(36 - 6)). Let a be m(x). Round a to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (71*(-7)\/(-2))\/(13\/416). Let f = n + -1452. Round f to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 5*t = 242, 3*t = -2*n + 7*t + 260. Let i = n - 64. Calculate the remainder when i is divided by (-10 - (3 - 13)) + 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 632\/5, -5, -329, 2\/5, -4?\nAnswer: 632\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 - 800\/55 - -3) + -4. Is -12 bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 94.64 - -0.36. Let n = -2222312.9947 + 2222408. Let w = v - n. Round w to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*p + 39, -4*p = 3*x + 15 - 72. Suppose 0*h + 4 = h. Suppose -y = 3*j + h*y - 116, 202 = 5*j + 4*y. What is the remainder when j is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b118 (base 15) to base 3.\nAnswer: 11110201012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5195 + -2829. Suppose -13271 + p = -3*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/1 + (-15424)\/2576. Is v less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -94 + 237. Suppose -g = -3, 0*g - 3*g = -5*n + 116. What is the remainder when n is divided by (-22)\/l - 119\/(-13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(112) + 0 + sqrt(112))*2 - ((1 + sqrt(700))**2 + 1 - ((sqrt(700)*1)**2*1 - sqrt(700))).\nAnswer: -14*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.076*-1.36\nAnswer: -0.10336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2181 = -8*d + 2125 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 0 + 6*l + 3 + 3 + 20*l**2. Let z be (-135)\/(-33) - (4 + 473\/(-121)). Let d(c) = 7*c**2 + 2*c + 2. Calculate z*r(t) - 11*d(t).\nAnswer: 3*t**2 + 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 0.79 (c) 29 (d) 0 (e) -24\/13 (f) 2\/17 (g) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1985 is divided by 168?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26049*u + 27094*u - 87780 = 0 for u.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/924 and 89\/42.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -33 in -1.942, -3\/5, 118, 4?\nAnswer: -1.942","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0623711406 to four decimal places.\nAnswer: 0.0624","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(4\/(-56))*(-25)\/(-50)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2528, -2\/3, -100, 2\/7 in decreasing order.\nAnswer: 2528, 2\/7, -2\/3, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 3 = -2*c. Is -26\/17 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.09 and 9.\nAnswer: -0.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 1)\/(2\/34). Suppose 45 = -3*y + 3*v, y - 23 = 2*y - 3*v. Let m = y + s. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -7*n**3 - 6*n**2 + 4*n - 6. Let p(w) = w**3 + w**2 - w + 1. What is -5*p(j) - t(j)?\nAnswer: 2*j**3 + j**2 + j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-13)\/26)\/(-1*(-2)\/(-16)). Solve -o*y - 4*i - 28 = 0, -4*i = y + 2*y + 26 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -396, -397, -392, -375, -340, -281?\nAnswer: -192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - h + 30 = -5*c, 3*h = c - 11 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -200*u + 11810. What is j(59)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -95*x - 126868. Let b(a) = -2*a**2. Calculate l(b(m)).\nAnswer: 190*m**2 - 126868","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 6254.\nAnswer: 18762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -4*f**3 + 64*f**2 + 1280*f - 12288 = 0?\nAnswer: -16, 8, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 >= -9065\/3481?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -494, -945, -1352, -1715, -2034, -2309?\nAnswer: -2540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 771 - 199 - 255 + 5*v - 317.\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36221080 and 980.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 552, 3565, 11362, 26271, 50620, 86737, 136950?\nAnswer: 203587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + g + 1. Let i(x) = -5*x**2 + x - 9. Let h(t) = i(t) + 4*q(t). Let w be h(6). Let r = w + 23. Calculate the highest common divisor of r and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300)*5)\/sqrt(4))**2.\nAnswer: 1875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o = -o + 22 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2245 or -2247?\nAnswer: -2245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -447*z**3 + 1. Is 56 a factor of c(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/m**(1\/2)))\/m)**16*(m**(1\/4)\/m)**(10\/9) assuming m is positive.\nAnswer: m**(-53\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -13*k**3 - 270*k**2 - 8*k - 1503. Give h(-21).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -315*(-239)\/(501900\/360)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13904 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -13*q + 483. Let a be z(37). Let c = 214 + -1289\/6. Sort c, a, 4, -3\/5 in decreasing order.\nAnswer: 4, a, -3\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 41143 and 0.0316.\nAnswer: 41143.0316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + 8 - ((-8)\/4)\/2. What is the common denominator of 49\/72 and -8 + x - (-35)\/96*10?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15605.67815 to 1 dp.\nAnswer: 15605.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 156, 295, 434, 573?\n\"Answer: 139*r + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 391 + -392. Let g(v) = -v**2 - 9*v - 9. Let c be g(-8). Let p = c + k. What is the third smallest value in 0.3, -3, p?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oyk when three letters picked without replacement from dycooddyczyykdc.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 101 - 98. Let o be q - (-6 + 192\/6). Which is smaller: -114\/5 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**12\/c))\/(((c\/c**5)\/c)\/c)*(c**(-2)\/c)**(-1) assuming c is positive.\nAnswer: c**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**48*f\/(f**(-2\/7)\/f)*(f\/(f*f\/f**(-1\/5)*f))**18 assuming f is positive.\nAnswer: f**(374\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 3*v**2\/7 - 948*v\/7 - 1980 = 0.\nAnswer: -14, 330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 25*a**2 + 37*a - 111. Let l be n(-23). Find the second derivative of -9 + 2 + l*s - 130*s**4 - 34*s**4 - 3 + 7 wrt s.\nAnswer: -1968*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 5*u. Let p(d) = -d. Let y(x) = -3*p(x) - 2*w(x). Let l(t) be the third derivative of t**4\/8 - 7*t**2. Determine l(y(v)).\nAnswer: -21*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1211 is divided by 58?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000008387442 to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 4*u**2 + 18*u + 39. Suppose -15*v + 14*v = 0, -4*p + v + 56 = 0. Is s(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - q**2 - q - 3. Let u be d(-3). Suppose -252 = -2*t + j, -t + 126 = 3*j - 8*j. What is the greatest common factor of t and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 82900219 * -5\nAnswer: -414501095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/33 + (-1293)\/(-33). Let f = a - 36. Suppose 2*r + 2*r = -f*m + 290, 4*r - 278 = 3*m. List the prime factors of r.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + 0. Let d(y) = -3 + 2 + 16*y**2 - b*y**2 - y. Does 4 divide d(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - k**2 + 2*k - 2. Let l(p) = 3 - 3*p + 2*p**3 - 7*p**2 + 9*p**2 - 2*p**2. Let x(r) = -3*d(r) - 2*l(r). Find the third derivative of x(a) wrt a.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 170498436.\nAnswer: 852492180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39 - 583\/15. Sort z, -0.4, 7.\nAnswer: -0.4, z, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23 and 6?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-3) + -2 + 50. Let p(a) = -16*a - 17*a + 3*a**2 - 16*a - 14 + j*a. List the prime factors of p(5).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*p + 14*p + 5*p)*(4 - 1 - 7).\nAnswer: -52*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 1 (c) -2\/71 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j. Let q be p(3). Suppose 3*w + 15 = q. Calculate the common denominator of -41\/8 and -2*((-375)\/w)\/5.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, u: 2, e: 2, p: 2, l: 1}. Give prob of picking 1 u and 1 p.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1607 by -78.\nAnswer: 1607\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 3*z - 3, -w - 4*z + 1 = -2*z. Let f be (891\/110)\/(-3) + 3. Is f at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.231545 - 0.233. Round j to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 4:14 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -39*p - 60. Let x(v) = -40*v - 60. Let d(t) = 4*f(t) - 6*x(t). Find the first derivative of d(y) wrt y.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(sqrt(6)\/sqrt(3)*-3) + (-1 + sqrt(200))**2*-1.\nAnswer: -201 + 59*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1410, 8\/11, -2, 0.3, -2.4?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6309.324 times -0.5\nAnswer: -3154.662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 43194 and 115?\nAnswer: 215970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*v**3 - 3*v**2 - 4*v + 6*v**3 + 10*v**3 + 2 as h*v + q*v**2 + x + t*v**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*l + 42 - 12 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b. Let y(x) = -8*x - 454743. Give t(y(w)).\nAnswer: 8*w + 454743","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.04*0.29\nAnswer: 0.0116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.784328mg to tonnes.\nAnswer: 0.000000000784328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - w + 18, 5*w - 5 - 5 = 0. Solve t*v + 2*y + 3*y + 5 = 0, -2*v - 4*y + 2 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -43*z**7\/7 - z**6\/2 + 52*z**3\/3 + 138. What is the third derivative of l(t) wrt t?\nAnswer: -5160*t**3 - 180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 207 - 87. Let i be (-2)\/((-8)\/6 - 20\/c). Let x = 14 + -11. Solve 5*q = -n - 25, -x*n + 5*q - i*q = -10 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + b**2 + b - 1. Let l(x) = -2*x**3 - 2*x**2 - 5*x + 2. What is -l(c) - 2*s(c)?\nAnswer: 4*c**3 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -7. Let n be 3\/(-105) + 2\/y. Suppose 3 = o - 4*o. What is the closest to 0.1 in n, o, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*u - 104 - 21 + 9 + 104*u.\nAnswer: 65*u - 116","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 24307*s*z - s - 176047*z wrt s?\nAnswer: 24307*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 5) + -7 - 9.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 104300 to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/570 and 151\/54?\nAnswer: 5130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -i - 2. Let s be i\/3 + (-48)\/(-9). Let w = 10 - s. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 15. Suppose v*s - 18 = -0. Is 2 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 73690, 147529, 221530, 295687, 369994, 444445, 519034?\n\"Answer: -u**3 + 87*u**2 + 73585*u + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.25298 to 1 dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u**(2\/9)*u\/(u*u**6))\/((u*u**(2\/9)*u)\/u*u)**(-1\/7))\/(((u*u\/((u*u*u**0)\/u))\/(u**0\/u))\/(u**(-8)*u*u\/u**(-3\/7))) assuming u is positive.\nAnswer: u**(-695\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in seven halves of a millennium?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -t**2\/4 - 909*t\/2 + 1819\/4 = 0.\nAnswer: -1819, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1872) + -2)**2 - (sqrt(1872) - (sqrt(1872) - (-6*-2*sqrt(1872) - sqrt(1872))))**2) + (sqrt(13) + -2 + sqrt(52) - sqrt(156)\/(sqrt(12)*1)) + 3.\nAnswer: -224635 - 46*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -71*l + 341. Is s(-16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3296 - 21*b**3 + 3296 - 4*b**3.\nAnswer: -25*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 180 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 4*o - 3*o)*(-3*o**2 + 2*o**2 + 0*o**2 + (72 - o - 72)*(1 - 1 + 2*o) - o + o - 2*o**2 + (-o - 3 + 3)*(-2*o + 0 + 0) - o**2 - o**2 + 3*o**2).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 4*p - 8. Let c be a(-6). Suppose -30 = 5*o - g - 167, 5*g - 127 = -c*o. Suppose 9*z - 8*z = o. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 135\/(-30)*2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 183*m**2 - 14*m - 1924. Calculate g(-183).\nAnswer: 638","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y + 3. Suppose -u + 4*u + 4*v - 14 = 0, 3*v + 2 = 4*u. Suppose 0 = u*g - 0*g. Let d be w(g). Sort -4, d, -3 in increasing order.\nAnswer: -4, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 32\/13*c**2 + 2\/13 - 16\/13*c = 0. Calculate c.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01*-6274\nAnswer: 62.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**3 - r**3 - 2*r**4 + 2 - 2 + r**4 + (-r**2 + 2 - 2)*(2*r**2 - 2*r**2 - r**2) - 30*r**3 + 30*r**3 - 6*r**4 - 4*r + r**4 + 4*r.\nAnswer: -5*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5 + 0.3. Let z(c) = -354*c**2 - 7080*c + 5. Let h be z(-20). What is the nearest to j in 2\/7, -0.04, 0.5, h?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 26*k - 63. Let m be h(-28). What is the tens digit of 9\/(27\/(-12)) - 6377\/m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3 + 956*w**2 + 421600*w + 29952448.\nAnswer: -4*(w - 487)*(w + 124)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1716)\/(-715)*(5\/(-2) - 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5 - (-1 + 4 - 4). Which is the smallest value? (a) y (b) -5 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -234 = 2*l - 620. Suppose -5*w + l = -127. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -229 - -231. Let w(d) be the first derivative of -2 + 4\/3*d**3 + 0*d + 2*d**j. What is the second derivative of w(q) wrt q?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s + 18*s + 18 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 110 by 5178.\nAnswer: 55\/2589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 27 = -13. Suppose r = -4*h - 0*h. Let t(y) = -y**3 - 7*y**2 - 6*y + 5. Calculate t(h).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a. Let n(l) = -12*l. Let h(m) = -n(m) - 6*w(m). Let i(o) = -o**2. Calculate h(i(p)).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -391*r + 4510 = -111*r - 8090 for r.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41277?\nAnswer: 3, 13759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03601 take away 47?\nAnswer: -46.96399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 82200 to the nearest one thousand.\nAnswer: 82000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 752*u**2. Let d(w) = -26591*w**2 - w. Determine d(g(k)).\nAnswer: -15037316864*k**4 - 752*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 16970*k - 87311. What is w(5)?\nAnswer: -2461","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.08*-7837\nAnswer: -626.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 11:41 AM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 + -1 + 20 + -23\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -55\/34511722 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259 = -164*c + 233 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0059965 rounded to 4 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -718*(-39)\/660 + (8 - 3). Let s = 251\/5 - n. Find the common denominator of -50\/7 and s.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4*d - 30 = 0, 45 = -m + d + 42. Solve 2*r + 24 = -5*h, -18 = m*h + 6*r - r for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1215 and 245187.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in 2\/73, 1, 0.1, -0.8?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 57 + -51. Let l = -4 - -6. Suppose 3*q + 33 = 2*a, l*a + 2*q - 3 = 5. What is the highest common divisor of g and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9813293411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*f - 5*f + 28 - 27 + 0*f + 2*f**3 + f**4 in the form c*f**2 + y*f + p + k*f**4 + h*f**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-4) - 0)*(13 - 11)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of a**5\/180 + 29*a**4\/18 + 1128*a**2. Solve p(t) = 0 for t.\nAnswer: -116, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 7 = -r + 3*b, 0 = 3*r - b - 50. Suppose 5*j = 4*g - 3*g, -4*j = -5*g + 42. Calculate the lowest common multiple of g and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i - 3. Suppose -5*g - 15 = 3*a - 2*a, 2*a = -5*g - 15. Let p be u(a). Is -1 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -275859435 by 5.\nAnswer: -55171887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -46421787 less than or equal to -46421789?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s**2 - 13*s + 8565. Is 183 a factor of l(72)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1747 - -1746. Let l(g) = g + 1. Let v(w) be the second derivative of w**4\/6 - 2*w**3\/3 - 5*w**2\/2 - w. What is r*v(b) - 5*l(b)?\nAnswer: -2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 102 - -220344?\nAnswer: 221001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 3, -246, -12\/5, 222?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34 - -41. Suppose -7 = -2*d + o. Solve -20 = -2*j + d*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1852 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189 = 57*f - 36*f. Let y be ((-108)\/(-3))\/3*1. What is the third derivative of 3*k - 6*k - f*k**4 + y*k**2 + 3*k wrt k?\nAnswer: -216*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371\/1166*22 + -28*1\/1?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u**2 + 4*u**2 - 9*u**2 + 8*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 852688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeeu when four letters picked without replacement from ueeue?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -1, -5, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 276930826.\nAnswer: 2, 9133, 15161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 88, 95, 112, 145, 200, 283, 400?\n\"Answer: d**3 - d**2 + 3*d + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 216716, 433414, 650108, 866798, 1083484, 1300166?\n\"Answer: -2*v**2 + 216704*v + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4983*f - 4979*f = -44 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13889813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t**3 + 1095*t + 462*t - 1557*t.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-64)\/(-30) + (-432)\/540)*(-26 - 1)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/85370, 5\/104, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -37064 - -4?\nAnswer: -37060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8337 is divided by 7469?\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1411*y**5 + 2*y**4 - 63*y**3 + 257755*y wrt y?\nAnswer: -28220*y**3 + 24*y**2 - 378*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 200713, -0.059, -1.2.\nAnswer: -1.2, -0.059, 200713","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = 4*n + 3*n - 28. Suppose -14*j**n - 72\/11*j - 8\/11 = 0. What is j?\nAnswer: -2\/7, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 5*q = 88, -5*q + 140 = -5*i + 10*i. What is the greatest common divisor of i and 494?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**4\/7 + 16*k**3\/7 - 16*k**2\/7 - 64*k\/7 + 96\/7 = 0. Calculate k.\nAnswer: -2, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 413758673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -895698 * -3.\nAnswer: 2687094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 5. Let i(s) = 3*s**2 - 11. Let q = -6 - -4. Let l(j) = q*i(j) + 5*n(j). Differentiate l(k) wrt k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y - 4*p + 16 = 0, 3*p - 28 + 16 = 3*y. Factor -1\/9*d**3 + 1\/9*d**2 + y*d + 0.\nAnswer: -d**2*(d - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 17*z**2 + 20*z + 17. Let y(w) = -51*w**2 - 62*w - 46. Determine -8*q(r) - 3*y(r).\nAnswer: 17*r**2 + 26*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 9:45 AM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 279, -1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 595394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1232049?\nAnswer: 3, 7, 13, 4513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 356711 to the power of 1\/2, to the nearest integer?\nAnswer: 597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156321325 is divided by 59.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 1. Let y(d) = -8*d**2 - d - 5. Let l(f) = -3*j(f) - y(f). Is l(-2) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7628458?\nAnswer: 2, 43, 107, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0581 + -14140.\nAnswer: -14140.0581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -168bba (base 12) in base 15?\nAnswer: -7a2ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 94832 and 53343?\nAnswer: 853488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 201 divide 1117534048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -5\/4, 1, 0.146, -1?\nAnswer: 0.146","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -9*d**2 - 8*d - 10. Let v(q) = 16*q**2 + 17*q + 18. Give 7*l(b) + 4*v(b).\nAnswer: b**2 + 12*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38*b**2 + 428*b**5 - 454*b**2 - b + 1767*b**5 wrt b.\nAnswer: 131700*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186 + 1884*a**3 - 1881*a**3 + 102*a**2 + 358*a - 73*a = 0. Calculate a.\nAnswer: -31, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*a - 70*a**2 - 76*a**2 + 144*a**2.\nAnswer: -2*a**2 + 18*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-100)\/125)\/(3\/(-15)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3386030.\nAnswer: 2, 5, 571, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34000 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 - 2*a**2 - a**2)*((-143*a + 90*a + 407*a)*(-1 + 1 + a) - a**2 - 2 + 2).\nAnswer: -1059*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 8, 5*p + 0*p = 4*g + 383. Is p a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388811 to the power of 1\/2, to the nearest integer?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 969485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6198*a**2 + 6199*a**2 - 12396*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.08, 2\/45, -5 in increasing order.\nAnswer: -5, -0.08, 2\/45, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-9))**(1\/28)\/(t**(1\/9)*t**1) assuming t is positive.\nAnswer: t**(-361\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 338*t + 5321 = 481*t + 888 for t.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*r**3 + 0*r**3 - 2*r**3)*(-r + 2*r + r) as b*r**2 + o*r**4 + z + p*r + f*r**3 and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 9, k: 3, q: 2, g: 2}. What is prob of sequence kv?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3 + (sqrt(17) + (5*sqrt(119))\/sqrt(7))*-3)*-5.\nAnswer: -180*sqrt(17) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 0*g - 3*v, -4*v + 7 = 3*g. Suppose 6 + 3*p**2 + 1 - 7*p - 2*p - g = 0. Calculate p.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 + 3*f**2 - 3*f**2 + (-4*f + 5*f - 2*f)*(24 - 24 + 6*f) - 4*f**2 - 5*f**2 + 6*f**2)*(-2*f**2 - f**2 + 5*f**2) - 3*f**3 + f**4 + 3*f**3.\nAnswer: -15*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1860467?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 217691?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132 is divided by 59.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 102515, 410059, 922631, 1640231, 2562859, 3690515, 5023199?\n\"Answer: 102514*y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -296246, -296052, -295522, -294488, -292782, -290236, -286682, -281952?\n\"Answer: 28*k**3 - 2*k - 296272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) 0.07 (c) 4.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-24)\/160)\/(12\/32). Let j be (-4)\/3*(-15 - -12). Which is bigger: o or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153*i - 304*i + 159*i.\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7 - -4)\/588)\/((-608)\/117952) + -1.\nAnswer: -1\/98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -15. Suppose 32 - 11 = 4*b - t, w*t = -5*b + 22. Let u(z) = z**2 - 2*z - 11. Let n be u(6). Solve -x = -b*y - n, 3*x + y + 2*y = 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -50 - -1023987.\nAnswer: 1023937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 8:37 PM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/4199 and 47\/969?\nAnswer: 12597","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 354994 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/((a*(a\/a**(3\/2))\/a*a)\/a))\/a)\/(a\/(a\/a**(-12))))**(-24) assuming a is positive.\nAnswer: a**(-300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 7*w + 26. Let d be 30\/(-8) + 4 + (1 - 279\/(-36)). Determine g(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3784 + -3797. Which is the third smallest value? (a) 3\/5 (b) u (c) 3\/4 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 241 (base 8) to base 15.\nAnswer: ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.034 in 76, -2\/9, 171, -0.5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6545 minus 0.08?\nAnswer: 6544.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.136031 and 1.97?\nAnswer: 2.106031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/40)\/((-1715)\/(-2401)*1\/(-70)).\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 344641 divided by 31331?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 6*n - 11*n - 4*r, 4*n - 46 = 10*r. Sort n, 135, 3 in increasing order.\nAnswer: n, 3, 135","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ceqeeqcqqccccqq. What is prob of picking 1 c, 2 e, and 1 q?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 0*b - b)*(-3275*b - 3 + 2517*b + 2).\nAnswer: 1516*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/16 of a century?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/10 and -21\/25.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -309404, -1237353, -2783936, -4949153, -7733004, -11135489?\n\"Answer: -309317*i**2 + 2*i - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of 2\/105*h**7 + 0*h + 0*h**4 + 4*h**2 + 0*h**6 + 1\/60*h**5 + 0 + 0*h**3. Find the third derivative of m(f) wrt f.\nAnswer: 96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -629*b + 3250*b - 1117*b + 3272*b + 591*b. Let v(c) = -c. Calculate v(s(i)).\nAnswer: -5367*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/4 of a tonne in kilograms?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r - 2. Let l(x) = x + 3. Let q = 14 + -23. Let p = -4 - q. Suppose -15 - 5 = p*i. What is i*l(f) - 5*w(f)?\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r + 16398 - 1994 = 401*r - 9056 for r.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13212649.\nAnswer: 23, 157, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 10:44 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*c + 2*c. Suppose 0 = -4*v, -2*r - 2*v = c*v. Let i be ((-6)\/4 + 2)*r. Solve -2*h - h - 6 = i for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 90 = -2*v, -v + 5*y - 3 = -22. What is the remainder when v is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -23\/80*m**5 + 0 - 7\/12*m**4 - 1\/168*m**7 + 0*m**2 - 1\/2*m**3 + 23*m - 1\/15*m**6. Find i such that h(i) = 0.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 25.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n**3 + 5*n**3 - n**3 + (n**2 + 0*n**2 + 3*n**2)*((1 + 1 - 4)*(-3 + 3 - n) + 3 - 15*n - 4 + 34*n) as p*n + d*n**2 + i + f*n**3 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.07 and 7.\nAnswer: 0.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25603442?\nAnswer: 2, 1583, 8087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37602*o**4 - 18786*o**4 + 10*o + o**2 - 18800*o**4 to m*o**2 + i + h*o**4 + p*o**3 + t*o and give h.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 - 13. Give v(-6).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -501348*b + 1180140*b + 1149428*b.\nAnswer: 1828220*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is h in h**3\/3 - 43*h**2 + 503*h\/3 - 125 = 0?\nAnswer: 1, 3, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 300 and 1902000.\nAnswer: 1902000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2 + 24789*x + 621600.\nAnswer: -3*(x - 8288)*(x + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12249.\nAnswer: 3, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 56640773 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 1:21 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -13. Let y be (-2 - -5)*10\/3. Let x = y + -5. Sort -5, x, m in descending order.\nAnswer: x, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32276?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -307215 greater than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(3\/2)*(i*i*i**(-1)\/i*i*i)\/i)\/((i\/i**(-5))\/(i**(5\/2)\/i)))\/((i*i**(-2\/5)\/i)**(2\/59))**15 assuming i is positive.\nAnswer: i**(-47\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4*v - 41. Let p be h(-8). Which is smaller: -29\/3 or p?\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/17)\/o**(1\/3))\/(o**(5\/6)\/(o**(1\/11)\/o)))\/((((o\/(o*o**1\/o))\/o)\/(o*o**(-5)))\/(o**1\/(o**6*o))) assuming o is positive.\nAnswer: o**(-12295\/1122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 4:50 AM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 1 + 3)*(-3*y + y + 4*y) - y - 4*y + 17*y)*(1 + y**2 + 5*y + 16*y - 3*y).\nAnswer: 10*y**3 + 180*y**2 + 10*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(-9)\/18*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (31 + 37 - -28) + -54?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 4*u = -47, -h + 14 - 30 = -3*u for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1.043755 years?\nAnswer: 0.1043755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 45755 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**3 + 35*g**2 - 18*g - 66. What is w(16)?\nAnswer: 414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -11*c**2 + 17*c - 11. Let n(x) = 5*x**2 - 8*x + 5. Let p(z) = -2*h(z) - 5*n(z). Factor p(v).\nAnswer: -3*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46468 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-3))\/(((-40)\/(-6))\/((-4730)\/(-1892)))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1062352 by -3964.\nAnswer: -268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-5))\/(9 - (-2092)\/(-232)). Which is smaller: -11 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 333 + -330. Let c be 10\/50*(28 - p). Calculate the greatest common divisor of c and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -4*o**2 - o - 3. Let x(z) be the third derivative of -2*z**5\/15 - z**4\/12 - 5*z**3\/6 - z**2 + 51*z. Determine -5*c(j) + 3*x(j).\nAnswer: -4*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -10. Let w(i) = -12*i**2 + 402*i - 402. Let t be w(1). Put h, -1, t, -5 in increasing order.\nAnswer: t, -5, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 62 + -58. Suppose -8 = -2*l, l - 5*l = h*s + 56. Is (1042\/6)\/((-3)\/s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17249*k - 17252*k - 3*z - 60, -5*k = 6*z + 116 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 4*t**2 - 78249096*t + 382682564051076 = 0.\nAnswer: 9781137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(27)\/sqrt(3)*1)\/(sqrt(30)\/(1*sqrt(10)))*2.\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*f = -960 - 53, -5*f = 3*y - 3031. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 339*h - 572*h + 229*h + 3. Let f(w) = 5*w**2 - 2*w. Determine i(f(g)).\nAnswer: -20*g**2 + 8*g + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.77844 rounded to 0 dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -92 less than -93?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10113232220 - -11?\nAnswer: 10113232231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -0*y - 2*y. Let v(d) = 2*d**2 - 5*d - 3. Calculate v(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2 + x - 3. Let d be ((-22)\/(-4))\/((-5)\/(-10)). Let n = d + -15. Let h be z(n). Solve 5*i + 0*i = -h for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1864 = -7*w + 6627. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135124763 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 0 + 0)*((-8364)\/408)\/(8 + -7).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 + 4)\/((-1)\/105). What is the tens digit of 616\/10 + 63\/x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -5\/2*m**2 + 1\/3*m**3 + 5*m + 1. Suppose -29*p + 192 - 47 = 0. Calculate b(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k - 2*k + 7 - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 523100 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -94 from -13.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 21*j + 8. Is d(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*p**3\/5 - 32294*p**2\/5 + 155792*p\/5 + 4128 = 0.\nAnswer: -4\/31, 5, 516","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 407 = 3*l + 68. Let t(o) = -279*o. Let p be t(-1). Let k = p - l. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 29*z**2 - 71*z + 26. Calculate the remainder when n(7) is divided by 305.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 505.0715t to milligrams.\nAnswer: 505071500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) + -5 - (0 + -1 + sqrt(17)) - ((sqrt(833)*-1 - sqrt(833))*1 - (sqrt(833) - (sqrt(833) - 6*sqrt(833)*2 - sqrt(833)))))**2*-6.\nAnswer: -1302534 + 5424*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 48*i**3 - 20*i**2 + 10*i - 83. Let j(l) = -16*l**3 + 6*l**2 - 3*l + 27. What is -3*a(c) - 10*j(c)?\nAnswer: 16*c**3 - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(66) - sqrt(66)*-2)*2*-3)\/(sqrt(150)*-2 - sqrt(12)\/sqrt(2)*-6)*2.\nAnswer: -9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -421*j**2 - 61034*j + 1587. Give a(-145).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - a = -27 + 35, 0 = 2*i + 4*a + 2 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8 - 0)*17 - -2. Let t(n) = -13*n**3 + n**2 + 5. Let k be t(2). Let q = k - h. What are the prime factors of q?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, 0.214, 1.7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 - -0.8. Let f = 1 - y. Let l = 104 + -100. Which is the nearest to f? (a) l (b) -1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 443304?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.5 (b) -0.1 (c) 10 (d) 4.5 (e) 0 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 5*d**2 - 2. Suppose t - 5*s - 20 = -5, 3*s - 9 = -3*t. Let c be g(t). Let v = c + 24. Does 11 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/9494 + -436751\/256338. Let b = 2943 + -26443\/9. Find the common denominator of b and a.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.24, 0, 2, -148\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 76383390 to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 3*y + 183, 3*f - 293 = -2*f - y. Solve 0 = 6*v + f - 77 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nr when two letters picked without replacement from {r: 7, n: 6}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 456*t + 391*t + 6010 = -119*t + 84256 for t.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -11*g + 11. Suppose 67*w = 63*w + 12. Let u(n) = 6*n - 6. Give w*y(b) + 5*u(b).\nAnswer: -3*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 5*l, 0*v - v + 4*l = 9. Let d be 310\/6 - (22\/6 + -3). Calculate the highest common factor of d and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 - -23.9. Which is the second smallest value? (a) j (b) 2\/11 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 480 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 490589 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 10*x - 24*x + 10*x + 15. Calculate the remainder when 666\/12 - 3\/(-6) is divided by a(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 36 - 74 + w**2 + 36 in the form i + y*w + f*w**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {q: 1, m: 2, h: 6, t: 9}?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 61*v**2 - 128*v**2 + 64*v**2. Let l(s) = -s. Calculate z(l(o)).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -75 + 234a?\nAnswer: 22c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}