diff --git "a/data/dm_maths/full_data_1/2474_11255.jsonl" "b/data/dm_maths/full_data_1/2474_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2474_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the second derivative of -2*c**5 - 10*c**4 - 228*c**2 + 17411*c + 1 wrt c?\nAnswer: -40*c**3 - 120*c**2 - 456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 42 divided by -6\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -240 + 3*j - 1\/2*j**2. Let h(c) = 10*c**2 + c + 1. Let r be h(-1). Determine k(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 552*v**2 + 53 - 53 + 698*v**2.\nAnswer: 1250*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 2*s - 12, p = -s - 4*p + 6. What is the smallest common multiple of s and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -497 + 500. Let b(s) = 8*s**3 + 15*s**2 - 39*s + 4. Is b(f) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1344 and 960?\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33385, 133825, 301227, 535591, 836917?\nAnswer: 1205205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 6*i + 10. Determine g(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14102494.8 rounded to the nearest ten thousand?\nAnswer: -14100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -7. Let k(r) be the first derivative of -r**4\/4 + 2*r**3\/3 + r**2\/2 - 48. Determine k(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 20 = -4*f + 5*z, 22 = -2*f + 5*z for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**(-2\/73)*y*y)**39*y*y**(1\/21)\/y*y*y**36 assuming y is positive.\nAnswer: y**(294304\/1533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1419)\/(-528))\/(-43))\/((-14)\/(-8)).\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1, -144, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16\/261 - 18073\/1044. Suppose -2*h = 3*h - 170. Find the common denominator of k and (h\/(-6))\/(2\/4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 7*n**2 + 2*n + 14. Let z be (2\/4)\/(3\/90). Let o = z - -1. Calculate the remainder when k(6) is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of -l**5\/420 + l**4\/56 - 19*l**2 + 2. Factor w(d).\nAnswer: -d*(d - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((196\/665)\/(390\/1235))\/((6\/(-10))\/(-3)).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 5 + 1 + 3 - 4*r. Let k be w(4). Suppose 3*i = -i + s + 18, 4*i + 4*s = 28. Sort i, k, 2 in descending order.\nAnswer: i, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 131148747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 6*p + 3. Let z be d(6). Let j(v) = 0*v + z*v - 2*v - 8*v. Let r(c) = c**2. What is r(j(o))?\nAnswer: 49*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1178 and 3193?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1377) - (-2 + sqrt(1377) + sqrt(1377)*2)) + sqrt(1377) - sqrt(1377)) + sqrt(1377) + 0 + 1 + sqrt(1377))**2 + -3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 8*h - 3. Let r(n) = n - 8. Let q be r(6). Let a be q*(-3)\/3 - -2. Is d(a) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (308\/28)\/(385\/560)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20190998?\nAnswer: 2, 317, 31847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from zzaaaazzaaza.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - 2*c + 47. Let b(p) = p**2 - 46. Let t(s) = 3*b(s) + 2*q(s). Let d be t(-5). Solve 3*h - 21 = 3*m, -h + 3 = -d for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/sqrt(28) - (sqrt(1872) + 2*sqrt(1872) + sqrt(1872))**2.\nAnswer: -29952 + sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 9 (b) -21 (c) 0.044\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 13. Let w = -69.1865 - -64.1865. Sort w, 47, q, 3 in decreasing order.\nAnswer: 47, q, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {t: 2, z: 5, r: 6}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**5*f)\/(f*f**(-2)*f))\/(f**(1\/2)*f)**(5\/4))\/(f**3*f*f**(-1\/4)*f)**(-11) assuming f is positive.\nAnswer: f**(451\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 0 (c) -8 (d) -146 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5+9994510\nAnswer: 9994505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2 + 2 = 0. Suppose 3*q + 5*c + 8 - 45 = 0, -4*c = -n*q + 10. Let d(w) = w**2 + 7*w - 7. What is the smallest common multiple of d(-8) and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*u + 39*u - 4*k - 32 + 378, 2*u - 3*k = -232 for u.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 5*a - 2. Give j(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - f - 15. Let v be 5\/f*(-10)\/(-2). Solve -5*g + v*a - a = -11, 3 = 3*a for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 e when two letters picked without replacement from kxhxe.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 276478259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -116 (base 11) to base 9\nAnswer: -163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - b - 2 = 10, -2*x = -5*b - 24. Let d(r) = -r**2 + 2*r**2 + 0*r**2 - x*r**2. Let u(a) = -46*a**2. Give u(d(k)).\nAnswer: -46*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1, -4, 3, 29 in descending order.\nAnswer: 29, 3, -1, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4791.8 + 168552\nAnswer: 163760.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.16, -247, -5, -9906 in ascending order.\nAnswer: -9906, -247, -5, -0.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15556?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 940652843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 5\/528, -2, -4, 2\/17?\nAnswer: 5\/528","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 6*q + 15. Let r be y(10). Suppose -44*s + 242 = -r*s. Sort s, -1, 4.\nAnswer: s, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 707 - 705. Suppose 12 = 5*r - 3. Suppose l*g = -r*g + 1070. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -3*g**2 - 11*g + 6. Let s(o) = -o**2 + o + 1. Let v = -41 - -45. Let p be s(v). Let m(w) = -w**2 - 4*w + 2. What is p*m(d) + 4*k(d)?\nAnswer: -d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 15. Let g(w) = w**3 + w**2 + 0*w + 6*w**2 + q + 1 - 8*w. Let i be g(-8). Solve x + 6*c - 5*c - i = 0, -2*x + 5 = -c for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ueeekxxee. What is prob of sequence ex?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 2*n. Let r(f) = 13*f**3 + f**2 - 2*f + 1. Let l be r(1). Suppose -3*o - 17 = 4*v - 3, -4*o + v = -l. Solve n = -o*w - 3 - 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185 is divided by 62.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -51, -70, -91, -114, -139?\n\"Answer: -l**2 - 16*l - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*q + 20*q - 11*q + 26*q**3 + q**2 + 25.\nAnswer: 26*q**3 + q**2 + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**3 - 2*l**3 + 3*l**3 + 5*l**3.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67234184?\nAnswer: 2, 17, 494369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 2, 3\/14?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, -125, -2, 0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 7*f + 11. Let v be o(-8). Solve -5*g + v*m + 29 = -m, -3*g = -5*m - 20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j. Let x(n) = 2936*n. Determine x(i(t)).\nAnswer: -2936*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4720218157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + 5 + (-4 - -3)*-4. Let f be 0 + y\/(10\/(-452)). Let x = f + 370. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*p - 18*p = 136*p - 1658748. What is the hundreds digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 765390197 to the power of 1\/5, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-2))\/2*85\/(-170)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1682678429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -6, 0, -4, 8.4, 18.\nAnswer: -6, -4, -3\/4, 0, 8.4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 h when two letters picked without replacement from bhbbbbbbbhhbbh?\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, p: 2, e: 4, j: 3, w: 2}. Give prob of sequence ee.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-4))\/((-3)\/120*15).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 31.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -1643*r. Let m(d) = 7*d**2 - 60*d. Let h(v) = -5*v**2 + 48*v. Let y(f) = 5*h(f) + 4*m(f). Calculate c(y(o)).\nAnswer: -4929*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00286240324 to 4 decimal places.\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -135 + 155. Solve 10*o = 5*o - y for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*3)\/((-234)\/52)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3352591?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 27995119469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {d: 4, w: 5, l: 1}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 367590 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: Is 177737047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120540751 and 3?\nAnswer: 361622253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i + 2*i - i)*(1 - 3*i**3 + 0*i**3 + 2*i**3) in the form r*i + l*i**2 + z*i**3 + t*i**4 + k and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 5*s - 12*s - 2 - 2 + 81*s.\nAnswer: 74*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 366543, 733083, 1099623, 1466163, 1832703, 2199243?\n\"Answer: 366540*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*f**5 + f**2 + 1 - 235*f**4 + 235*f**4 - 14*f**5 - 4 + 4 + (2*f - 4 + 4)*(2*f**4 - 7*f**4 - 2*f**4).\nAnswer: -23*f**5 + f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 3*k**2 + 4*k + 2. What is the smallest common multiple of q(-4) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4685276 is divided by 160?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*g**5 + 62*g**5 - 49*g**5 - 13*g**4 + (3*g**2 - 4*g**2 - g**2)*(-4 - 3*g**3 + g**3 + g**3).\nAnswer: 39*g**5 - 13*g**4 + 8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17659966.\nAnswer: 2, 8829983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x**2 + x**2 - x**3 - 2*x - 7*x**2 - 9117 + x**4 + 9115 in the form j*x**4 + f*x**3 + n*x + b + g*x**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -101 + 107. Let t(p) = -2*p**3 + 14*p**2 - 9*p - 12. Let i be t(f). Suppose -36 = -5*m - 3*o, 0 = 5*m - o + 2*o - 32. Is i not equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 + 18. What is the biggest value in h, -7, -0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-190)\/(-10))\/(-95)*100\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 8 - 41 + 26 + 6*g. Suppose 3*c = 7 + 5. Let d(p) = 6*p - 1. Let w(l) = l + 1. Let q(i) = -d(i) + 3*w(i). Calculate c*r(s) + 7*q(s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 16) in base 9?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-104)\/117)\/((-2)\/(-3)). Let f be 5 - (1 - (2 - 2)). Let i(j) = -j**2 + 4*j. Let v be i(f). Is t greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13367 + -13301. Calculate the least common multiple of 627 and f.\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*-2*(sqrt(2057) + -3 + sqrt(2057)) - (-1*((sqrt(2057) - 2*sqrt(2057)) + sqrt(2057)) - 3*sqrt(2057)*1)) + -1)**2.\nAnswer: -1078*sqrt(17) + 100842","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5 + 6 + -9 - 2*-393.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l + 10. Let m be w(-8). Suppose 7*x = m*x + 15. Solve -o + 0 - x = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + q - 7, 3*y + 5*q + 40 = -2*y. Let u = -3 - y. Let d(m) = 0 - u*m**3 + m**3 + 2 + 2. Let h(l) = -2*l**3 + 5. What is 3*d(a) - 2*h(a)?\nAnswer: a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2964936)\/(-18) + (-5)\/(-15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(-3\/7)*b)*b\/(b**14*b)*((b**(-2\/17)\/b)\/b)**(-1\/22))**(16\/9) assuming b is positive.\nAnswer: b**(-101056\/3927)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1014 + -0.3014. What is the second biggest value in 9\/5, -2\/11, -5, p?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8 in 2, 0.2, 4\/13?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-4*12\/(-128)). Suppose -a*g = -967 + 575. What is the smallest common multiple of g and 105?\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of u**5\/20 - u**4\/2 + u**3 - 2*u**2 - u. What is the units digit of d(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 54209 - 89459. What is a rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence na when two letters picked without replacement from {b: 2, a: 2, n: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*f - 52. What are the prime factors of f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m**3 + 42*m**2 - 21*m + 309. Calculate t(14).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -40053 (base 9) in base 14?\nAnswer: -9820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.01 + -2.99. Let l = -163 + 162.98. Which is the closest to 2? (a) l (b) -0.5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3336319, 3336329, 3336353, 3336397, 3336467, 3336569?\n\"Answer: z**3 + z**2 + 3336317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 11:45 PM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 19 + 1 + 11*z - 12*z. Is a(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 8 - 6 - 2*q + 2*q - q**2. Suppose 15 = -5*r + 5. Give i(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 7) to base 2.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 1. Suppose 3*m = q*m. Let d(v) = -v**2 + 23. What are the prime factors of d(m)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 divided by -7?\nAnswer: 54\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 0.96. Let j = -155 + 225. Let z be (1\/3)\/(-71 + j). Which is the nearest to u? (a) z (b) -1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -107, -16, -4, 2 in increasing order.\nAnswer: -107, -16, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - z - 5. Let l(d) be the first derivative of -d**4\/4 - 5*d**3\/3 + d**2 + 10*d - 9. Let y be l(-5). Give u(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 15 = 3*h. Suppose -5*q + h + 2 = 0. What is the third smallest value in q, -1\/4, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -705614 by -50401.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(88) - (-1*sqrt(88) - sqrt(88)))*-2)\/(sqrt(8) + sqrt(40)\/(sqrt(5)*1) - sqrt(8)) + -1.\nAnswer: -1 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j - 3*j - j)*(-4 + 2 + 1) + 4 + j - 4 + 3*j + 9*j - 3*j + (2 + 1 - 1)*(-7 - 2*j + 7) as l*j + y and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -269*v**3 + 808*v**3 - 260*v**3 - 266*v**3.\nAnswer: 13*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 o when four letters picked without replacement from ssooeesooeeeeseoe?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 8*d - 299. Let v(b) = -b**2 + 7*b + 23. Let j be v(12). Let s = d + j. Put s, -2, -0.12 in decreasing order.\nAnswer: s, -0.12, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 + 24. Let k(g) = 13*g. Let y be k(2). Let s = y - 181\/7. Is s < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g + 5. Let h = -353 - -370. Suppose -4*w - 25 = 3*o, 0 = 20*o - 23*o - 2*w - h. Calculate b(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-200 + 129 + 52).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1270688 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*w + 1. Suppose 47 = w*z - 22. What is the remainder when 43 is divided by z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 152152312 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) - (2 + -3*sqrt(180)) - (sqrt(180) + (1*sqrt(180) - sqrt(180)) + sqrt(180) + -4))**2.\nAnswer: 48*sqrt(5) + 724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -37, -161, -401, -787, -1349?\n\"Answer: -5*y**3 - 28*y**2 - 5*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 + 1)*(-6*k**2 + 2*k - 2*k**2 + 7*k**2) to the form m*k + t*k**2 + l and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z**4\/5 - 526*z**3\/5 - 13314*z**2\/5 + 7054*z\/5 + 1358 = 0. What is z?\nAnswer: -97, -35, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 7:27 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26421514.\nAnswer: 2, 7, 19, 71, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 2*h**4 - 2*h**3 + 13 - 2*h - 6 as c*h + s*h**3 + l*h**4 + k*h**2 + u and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 790413.\nAnswer: -2\/263471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 11*i**2 + 2*i + 25. Let w be h(-11). Solve k + 3*z + 0 = -7, -w*k - 2*z = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2*(-26)\/39*-27.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 323?\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -22, 550 in descending order.\nAnswer: 550, 5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 151413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.14904 and 70937?\nAnswer: 70936.85096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 51 - 167*t**4 + 5*t - 167*t**4 + 332*t**4 - 2*t wrt t?\nAnswer: -8*t**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38017\/3236 + -3\/1618. Suppose 146 = 2*c + 5*z, -3*z + 210 = 3*c - 0*z. Let w = -41 + c. What is the common denominator of w and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 2\/19, -3, 3, 3727.73, 1 in descending order.\nAnswer: 3727.73, 3, 1, 2\/7, 2\/19, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 8*a = 2 - 16, 5*r - 4*a = 13 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 0*z + 588 = 0. Let l = 101 - z. Suppose -2*p + 4*a + 34 = 0, -p = -0*p + l*a + 8. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12\/(-15)*(-270)\/4 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -0*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(7\/6)\/t)**(-1\/55)\/((t**(6\/7)\/t)\/t*t*t\/(t\/t**(-4\/13))*t*t*t) assuming t is positive.\nAnswer: t**(-77197\/30030)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/2)\/((1\/12)\/(-1)). Let b be 243\/(-21) + n\/(-14). Let h = 21 + b. What is the least common multiple of 3 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.26781 to one dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 8:28 AM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 28 = 6*b. Let l be 2\/(-2)*b*1\/(-32). Which is greater: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 + 9)*2\/5. Let k(w) = 508*w - 508*w - 5*w**g - 22*w**2. Let x(j) be the second derivative of j**4\/12 + j. Give x(k(n)).\nAnswer: 729*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*c**2*y**4 + 42*c**2*y**2 - 10*c**2*y - 4*c*y + 27614*y**5 wrt y.\nAnswer: 96*c**2*y + 1656840*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -11*((-5916)\/66 - 8). Calculate the highest common divisor of 1969 and f.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 15*x - 23. Let b(y) = -y - 1. Let z(i) = -2*b(i) + j(i). List the prime factors of z(17).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9 - 122*i + 65*i**2 - 25*i**3 + 0*i**4 + 9 + 87*i - 5*i**4.\nAnswer: -5*i*(i - 1)**2*(i + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = -176*z + 177*z. Calculate the remainder when z is divided by 47.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5563750?\nAnswer: 2, 5, 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c4 + 4?\nAnswer: c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*r**4 - 659*r + 663*r - 3 - 8*r**3 - 4*r**3 wrt r?\nAnswer: 24*r**2 - 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*w - 6641 = 27*w - 5842 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (276\/(-253))\/(135\/2475).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27a0960 (base 11) to base 3.\nAnswer: -100001210010002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 195113.3457 to the nearest one thousand.\nAnswer: 195000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -476 + 475. Which is the fourth biggest value? (a) -0.16 (b) 0 (c) 4 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1333, 1413, 1493, 1573, 1653, 1733?\nAnswer: 1813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109973484.\nAnswer: 2, 3, 61, 16693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - -26. Suppose 34 = 3*f - w. Let p = 26 - f. Calculate the greatest common factor of 4 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/11*(-2)\/4. Let l(k) = k**3 - 7*k**2 + 10*k - 3. Let y be l(5). Put y, 2\/5, v in ascending order.\nAnswer: y, v, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 11:46 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n + 0*n + 0*n)*(-2 + 0 + 0) - 1 + 3977*n - 2 - 4159*n.\nAnswer: -188*n - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5804*o**3 + 5*o**2 + 12*o + 3956157 wrt o?\nAnswer: -17412*o**2 + 10*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1548*50\/(-1800) + 34?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -2, -5, 1, -14 in increasing order.\nAnswer: -14, -5, -2, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.4 + -0.4. Let n = -82.4 + 82. Which is the third biggest value? (a) 0.3 (b) n (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 8, 10?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -5*d + 12. Let o be i(8). Let r be (-33)\/(-7) - 8\/o. Let a(g) = g - 1. Let f be a(r). Which is greater: -0.1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 7*i**2 - 5*i + 6. Let v be w(3). What is the third derivative of -6 - v*f**2 + 6 + 19*f**2 - 9*f**5 wrt f?\nAnswer: -540*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009829 rounded to five dps?\nAnswer: 0.00098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m*m*m*m**8*m*m))\/m)**21)**(-13) assuming m is positive.\nAnswer: m**3549","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g - 3*t - 25 = 23, 5*g = -5*t - 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 42 = -4*n, -2*n = 5*a - 92 + 35. What is the fourth biggest value in 7, -4, -5, a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -146495 to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6, 20, 40, 66, 98?\n\"Answer: 3*r**2 + 5*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 458537 + -62?\nAnswer: 458465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 4*y + 4. Let d(m) = -m**2 - 8. Let h be d(0). Let s be k(h). What is the smallest common multiple of s\/2*(-2)\/(-3) and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 7*z**4 - 8*z**2 + 6*z**2 - 1 - 2*z**3 to w + q*z**2 + o*z**4 + b*z**3 + d*z and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -68*k + 7. Suppose 2*m = 6*m + 24. Is n(m) composite?\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) -3 (c) 19 (d) -0.4 (e) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(132\/110*5\/8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -8*z**2 + 2*z + 86. What is w(8)?\nAnswer: -410","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of a**5\/15 + a**4\/12 + a**3\/3 + 13*a**2. Let o be w(3). Suppose -20*c = -24*c + o. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 26. Let n(k) be the third derivative of -k**5\/30 - 38*k**2. Determine n(s(i)).\nAnswer: -2*i**4 - 104*i**2 - 1352","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/545, -657, -2, -0.07, 1.\nAnswer: -657, -2, -0.07, 2\/545, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of u**6\/360 + u**5\/60 - 3*u**4\/4 + 70*u**2. Let l(i) be the second derivative of j(i). Let d(x) = -x**2. Determine l(d(y)).\nAnswer: -2*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -121167\/553760 - -1\/17305. Find the common denominator of g and 11\/3760.\nAnswer: 7520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2640*q + 1081 - 130441 = 0 for q.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 5*v**2 + 5*v - 3. Let s(h) = 8*h**2 - 2*h + 11. Let z(k) = -3*k**2 + k - 4. Let i(m) = 4*s(m) + 11*z(m). Let r be i(4). Give w(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -43, -2, -30, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**5 + 939155*d**4 + 55116716587*d**3 - 1061359162900*d**2 - 840800956016*d + 275673984320 = 0. Calculate d.\nAnswer: -117404, -1, 1\/4, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 6:15 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -6*r - 10. Is r smaller than 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90 + -94 - (0 + -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -1\/10*t**5 + 0*t**2 + 1\/8*t**4 + 1\/60*t**6 - 14*t + 0*t**3 + 0. Determine k, given that y(k) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-5\/2)*x\/((x*x\/x**6)\/x))**(-22) assuming x is positive.\nAnswer: x**(-99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/1)\/(2\/(-69)). Suppose -4*u + 3*u + 43 = 0. Let v = n - u. Is v a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/3)\/(315\/(-189))*(-2)\/4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1161 and 23220?\nAnswer: 23220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 762299?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56189.\nAnswer: 7, 23, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 724753 to the nearest integer?\nAnswer: 851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 657?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 5) in base 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -4 (c) 1 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1679700 to the nearest one hundred thousand.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**4\/5 + 1880124*k**3\/5 - 294621064929*k**2\/5 + 3063022462560*k + 15609735257856\/5 = 0. What is k?\nAnswer: -1, 53, 313328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*o + 9*o - 11*o.\nAnswer: -20*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y + 4. Determine l(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2231164 - 1.3929934. Let k = d - -1.17. What is k rounded to five decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*v = 206 - 104 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-8)*y)\/(y**(1\/9)\/y*y))\/(y**(-4)*(y\/(y*y**(2\/3)))\/y) assuming y is positive.\nAnswer: y**(-13\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12698\/1455 or -9?\nAnswer: -12698\/1455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 9:54 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.8*7.36625\nAnswer: 5.893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5068 and 196?\nAnswer: 35476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*r + 10*r**2 - 16*r - 18*r to k*r + i*r**2 + l and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2\/4 - 2323*i\/4 + 51005.\nAnswer: (i - 101)*(3*i - 2020)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -f**5\/60 - 3*f**4\/4 - f**3\/3 - f**2. Suppose 0 = 18*o + 33 + 201. What are the prime factors of w(o)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 (base 9) in base 7?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 434554*k - 37*k**2 + 0 - 434555*k.\nAnswer: -37*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m + 1. Suppose 2*v - 25 + 1 = 2*a, 5*v - 4*a - 55 = 0. What is the remainder when x(-5) is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-48 - -5)*(-4 + 2). Let u = -55 + z. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6321\/9 + 7\/(-21). Let r = -4892\/7 + c. What is the common denominator of (-90)\/(-21) - (-2 + 2) and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 6*h**2 + 4*h + 2. Let n(v) = 7*v**2 + 4*v + 3. Let c(b) = -6*l(b) + 5*n(b). Suppose 45 = -5*s - 5*g, -4*s + 0*g - 5*g - 41 = 0. Determine c(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2 = 6. Let v(i) = -i**2 - i + 1. Give v(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48 - -51. Suppose j*f + 5*o = 19, 0 = 2*f - 4*o - 2 + 4. Suppose -330 = -2*h + f*i - i, -2*h + 3*i = -327. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -457817.8271 + 34.\nAnswer: -457783.8271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -298 * 7.\nAnswer: -2086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40\/18 + 18\/(-81) and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 47*x**2 + 4757*x - 210068. Give a(45).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26*t**3*x**2 + 2796*t**3*x + 6*t*x**2 - 11419*x**2 wrt t.\nAnswer: 156*t*x**2 + 16776*t*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) 75\/4468 (c) 2 (d) -0.141\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7829 take away -2.60414501?\nAnswer: 7831.60414501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -21*f. Let h(u) = u - 43. Let d(k) = 215*k - 1290. Let x(l) = -d(l) + 30*h(l). Calculate x(p(w)).\nAnswer: 3885*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -27, -25, -17, -3, 17, 43?\n\"Answer: 3*r**2 - 7*r - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**3 - 1727 + 868 - 6*b**3 + 859.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k*k**(3\/5)*k)))**46*(((k**0\/k)\/k)\/k*k)\/k**(4\/3))**(8\/15) assuming k is positive.\nAnswer: k**(13952\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 828d (base 14) in base 13?\nAnswer: a2c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2419771.5 months in centuries?\nAnswer: 2016.47625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 20 = -3*y. Solve 2*w - 28 = -5*i, 2*i - y = -2*w + 2 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-2 - -3 - 7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20*(-14)\/105*765\/(-204)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -532, -1066, -1618, -2194, -2800, -3442, -4126, -4858?\n\"Answer: -z**3 - 3*z**2 - 518*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 + -0.4. Let z = -41.9 + 42.5. Which is the third biggest value? (a) y (b) z (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -47*t + 216. Let f be u(16). Let y = -8042\/15 - f. Which is the third smallest value? (a) -5 (b) y (c) 2\/5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/8 and -25\/20972.\nAnswer: 41944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/sqrt(3) + 4 - ((sqrt(2) + -1)**2*5 - sqrt(2)).\nAnswer: -11 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*h**3 + 13*h**3 + 18*h**3 + 21*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -37*v + 2039, 955*v - 1911*v + 275 = -951*v for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -527, -4189, -14127, -33479, -65383, -112977?\n\"Answer: -523*w**3 - w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 738?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*u + 17532, -u - 3*s - s = 4401. Suppose 8*c = 2*c - 18. What is the units digit of u\/(-20) - (c\/(-1))\/12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -870, -1\/2, 46 in descending order.\nAnswer: 46, -1\/2, -870","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/4*(-220)\/(-5). Let h be 456\/k + 8\/44. Suppose -26 - h = -5*a. What is the highest common divisor of a and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - (-4)\/(5 - 1). Factor 8 + 50*z**2 + 0*z + 340*z**j - 326*z**4 + 2*z**5 + 32*z + 38*z**3.\nAnswer: 2*(z + 1)**3*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 596561 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + (-21)\/7 + 7. Let y(s) = -s**2 + 4*s + 5. Let h be y(5). Suppose h = -d*t - 2*t. Solve 5*w - 2*w - 15 = t for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 5. Let c be 8 + -4*(3 - 2 - 0). Put -1, d, c in decreasing order.\nAnswer: c, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20827*i - 836 = -20865*i for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*v + 55*v - 3564 = 64*v. Solve -5*d - 79 = -v for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.058 - 8.942. What is the biggest value in v, 0, 0.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0712 and -246.44.\nAnswer: -246.3688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-3))\/((-7)\/(-3) + -3)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -100 - -100.5. Which is the closest to -3? (a) n (b) -0.8 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 5*p**2 - 3*p + 2. Let m be h(-6). Suppose -117 = 2*u - 5*u. Let o = u + m. Is 18 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.273803 - 5.4?\nAnswer: -5.673803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -92.\nAnswer: -1\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 4*c - 360 = 0, -177 = -2*d + 2*c - c. Suppose -6*p + 223 + d = 0. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 56*h**2 - 131*h - 338. What is the ten thousands digit of q(48)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 477 = 3*w. Suppose n + 38 = w. Suppose n - 61 = 5*k. Does 11 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(2420) + 2 - sqrt(2420)) + -5 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/(-65)*(-2)\/((-12)\/(-15)) and 51\/8.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -44*y**2 - 963*y + 148. What is d(-22)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**6 - b**5 - 602*b**4 + 35728*b**2.\nAnswer: 240*b**3 - 60*b**2 - 14448*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 m when two letters picked without replacement from {f: 1, b: 1, m: 7, x: 1, h: 5, y: 2}.\nAnswer: 35\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((4 - 1) + 0)*1. Solve 2*o + l*o + 10 = -5*m, -5*o + 26 = -4*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27841*k + 5548*k + 5555*k + 5547*k + 5551*k + 5639*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1542649?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i - 1 + 29 = -5*l, -3*i = -l - 1 - 10 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 413 + -412. Let x = 11\/9 - 59\/63. Let v = 0.2 + -0.15. Which is the closest to u? (a) v (b) x (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77359350 a multiple of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 34863 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -2235?\nAnswer: -2242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from stjsstjttt. Give prob of picking 2 s, 1 t, and 1 j.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -4*b**2. Suppose -5*q = -q - 12. Let y(h) = h + q*h - 4*h - h**2. Calculate y(t(u)).\nAnswer: -16*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-3\/5)\/p)\/(p*p**(-2)))\/(p**(-3)\/p*p**(5\/4)) assuming p is positive.\nAnswer: p**(43\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 3:21 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b**2\/5 + 12*b - 132\/5 = 0. What is b?\nAnswer: -22, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 15*n**2 + 5*n - 37. Let t be r(-15). What is the thousands digit of t\/392 + 14144\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**3 + 25 + 12*p**3 - 13*p**3 + 7*p**3.\nAnswer: 8*p**3 + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -12, 3\/11, -0.1?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1 + (3*-1*(-1 + sqrt(72)))**2 + -5.\nAnswer: -108*sqrt(2) + 656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -73 * 21.71739.\nAnswer: -1585.36947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**5\/3 + 55*j**4\/3 - 2494*j**3\/3 + 4760*j**2\/3 = 0?\nAnswer: -85, 0, 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 8*v. Suppose v = 3*k - 12. Let o = 13 - 3. Calculate the highest common divisor of k and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 0, 5, -0.06, 9, 206\/5, -4?\nAnswer: 206\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 7*u**2 + 7*u - 1. Let h be m(6). Suppose -h*a + 44 = 9. Calculate the remainder when a is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1626.\nAnswer: 2, 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7\/(-28) - 13\/(-4). Suppose -o*g + 265 = -290. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3861*q**2. Let u(p) = -p**2 + 5*p - 2. Let o(w) = 7*w**2 - 30*w + 12. Let d(t) = o(t) + 6*u(t). Determine m(d(b)).\nAnswer: -3861*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 times -56913?\nAnswer: 1081347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**2. Let s(x) be the first derivative of -5\/3*x**3 + 0*x - 1\/2*x**2 + 22. What is s(f(u))?\nAnswer: -20*u**4 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of w**4\/3 - 5*w**3\/6 + w**2 + 8*w. Is 31 a factor of q(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -1775 (c) -3\/260\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*j**3 + 73*j**3 - 35*j**3.\nAnswer: 58*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -369*o**3 + 381*o**2 - 8*o. Let i(b) = 369*b**3 - 382*b**2 + 10*b. Let f(m) = -4*i(m) - 5*z(m). What is the third derivative of f(y) wrt y?\nAnswer: 2214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 19*l**2 - 51. Give b(-19).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13.514 and 3973.\nAnswer: -53691.122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/7335 and -59\/75795.\nAnswer: 227385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 825 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.5*-20304.\nAnswer: 30456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20365246?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -231 - -372. Let c = -114 + d. What is the least common multiple of c and 99?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 21154 - 6?\nAnswer: 2114c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(9\/10))**(4\/7) assuming j is positive.\nAnswer: j**(38\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -50?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 705525765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22867*t**4 - 3*t**3*z - t*z + 2*t + 2326*z + 5 wrt t.\nAnswer: 274404*t**2 - 18*t*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y + 3*y - 7*y - 33*y.\nAnswer: -35*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50*w + 16781 + w**2 + 209*w**5 - 16781 wrt w?\nAnswer: 12540*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300449057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 5*t, -3*m - 3*t + 6*t = 0. Let n = 3\/148 - -269\/1332. Let y = -454\/3 + 150. Put y, -0.2, n, m in ascending order.\nAnswer: y, -0.2, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 8*f. Suppose 0 = -w - 5, 5*u + 2*w - 400 = 6*w. What is the remainder when u is divided by z(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r\/r**(-2)*r)*r**(-18) assuming r is positive.\nAnswer: r**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, 11, 0.4, -2\/3, -0.81.\nAnswer: -0.81, -2\/3, -0.03, 0.4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4*b**2 - 15*b + 45. Calculate d(9).\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 256 divided by 16\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 6*k**2. Let r(j) be the second derivative of j**5\/12 - j**3\/3 + 70*j. Let i(c) be the second derivative of r(c). What is i(q(s))?\nAnswer: 60*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -641*u**2\/2 + 5710. Let w(i) = -i. Give v(w(n)).\nAnswer: 641*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0568759 * -0.2.\nAnswer: -0.01137518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51*k**3 + k**2 + 103*k**3 - 1 - 156*k**3 - 11*k**4 to t + r*k**2 + l*k + d*k**3 + h*k**4 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 4 = 5*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3966 (base 11) to base 5\nAnswer: -131104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 12*-1*(-4 - 656\/24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 1\/2 (b) 16 (c) -402 (d) -1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3*a**3 - 26*a**2 - 138*a + 89. Is j(-9) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a centimeter in micrometers?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 154947 to the power of 1\/2, to the nearest integer?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 954091 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**3\/((a\/(a*a**(-6)*a))\/a)*(a*a\/(a**(-2\/9)*a))**(-12\/7) assuming a is positive.\nAnswer: a**(-65\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -300 + -20?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 106.515 - -248031?\nAnswer: 248137.515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -889.\nAnswer: 444.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 + 3. Let q = p + 16.000005. What is q rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4\/4 + 25*v**3\/4 + 47*v**2\/4 + 23*v\/4.\nAnswer: v*(v + 1)**2*(v + 23)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 43584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -5*b. Let z be c(-1). Suppose -z*n + 2*n = 0. What is the third biggest value in -1, 3, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -413*638.8.\nAnswer: -263824.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -50? (a) -0.4 (b) 5\/3 (c) -32 (d) 3\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 623?\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (153\/(-36))\/((-25)\/(-12) + -2). Let x = f - -193. Suppose 141*n = x*n - 30. Calculate the highest common factor of n and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -4*i + 86. Let z be s(14). Suppose -z*v + 28*v + 2 = 0. Let m(q) = 5*q**2. Calculate m(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/45*-1 - 1534\/(-12390)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 < -164\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*z - 6*i + i, i - 16 = -4*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29\/5 + 111\/20. Let q = -1.4 + 1.4. Let f = -79\/2 - -535\/14. Which is the fourth biggest value? (a) f (b) -3 (c) q (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 0.4 (c) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - -7) + -38 + -5?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38 + 116\/3. Let t(c) be the second derivative of 2*c + 0 - 3\/20*c**5 - d*c**3 + 0*c**4 + 0*c**2. What is the second derivative of t(p) wrt p?\nAnswer: -18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4220 and 280.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3704.77 decades to months.\nAnswer: 444572.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (17 + -8 - (166 + 3 + 65 + -75))?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 12:45 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3266 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2275791971?\nAnswer: 23, 449, 220373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 0) + -32 + 29?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8778580.\nAnswer: 2, 5, 31, 14159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 10. Let m be (-2 + 1)*3*(-38)\/57. Does 16 divide (m + 0)\/(s\/48)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 8.978216 grams?\nAnswer: 8978.216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 57.117 + 3.763. Let j = 64 - g. Let z = j + -3. What is z rounded to two decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 2546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.39394 to 2 dps.\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 4*v - 38 = 0, -h + 4*v = -2*h - 2. Let s be h\/(-2) - 3 - 2. What is the smallest value in -3, s, 3\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, 0, 0.5, -0.3, 95 in ascending order.\nAnswer: -0.3, -0.08, 0, 0.5, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 5:20 PM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of k**6\/60 - k**3\/2 + 3*k**2\/2 + 2*k. Let b(w) be the first derivative of o(w). Differentiate b(y) wrt y.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iso when three letters picked without replacement from {d: 1, a: 2, o: 2, s: 1, m: 1, i: 7}?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -83781 by -261.\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2*t = -2754, -9*t - 549 = p - 8*t. Let v = -581 - p. Is -32 smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 522*a**4*j - 16*a**2*j**2 - 331*a*j + 43*a + 2*j**2 wrt a.\nAnswer: 6264*a**2*j - 32*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 3*z - 2695. Calculate the remainder when z is divided by (3*2\/(-8))\/(9 - (-16575)\/(-1836)).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 106210 (base 7) to base 14\nAnswer: 6cb0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-3))\/(2\/6). Let c = -669.2 - -619. Let d = c + 50. Put 0.2, u, d in descending order.\nAnswer: u, 0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -924*k + 101. What is the units digit of n(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t**3 - t**2 + 2*t + 2. Let v be s(-1). Let i(d) = -2*d - v*d + 3*d + d - 2. Let n(a) = 0 + 5*a + 0 - 14*a + 8*a. What is n(i(r))?\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*i - 63 = 100*i - 135*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 - -7)*1\/2. Let v be 2*((-4)\/(-2) - t). What are the prime factors of ((-650)\/(-13))\/(-1 + v)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -282 + 2*z**2 + z**3 - z**3 + 24*z**2 + 291 - 2*z**3 - z as p*z**3 + i*z**2 + c + g*z and give i.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -60*a*w - 306721*a*y - 4689*w**4*y + 16*w**4 + 20*y wrt w?\nAnswer: -60*a - 18756*w**3*y + 64*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/4 of a century?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 23\/(-230) + (-311)\/(-10). Suppose g*r - 3276 = 13*r. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 66*g - 559. Let f be p(-10). Let z(n) = -n**3 - n**2 - n - 1. Let x(d) = d**3 + 2*d + 4. What is f*x(y) + 2*z(y)?\nAnswer: -y**3 - 2*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 5:32 AM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k + 1. Let j be f(8). Let r be (6\/j)\/(-1)*2. Which is the nearest to -2? (a) -2 (b) -3\/8 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -6*w**2 + 36*w + 36. Let o(n) = n + 1. Give -36*o(r) + q(r).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 50, 15, 4, 5, -4, 104 in ascending order.\nAnswer: -4, 4, 5, 15, 50, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-5)*m)\/m**(2\/9))**(1\/3)\/((m\/(m*(m*m\/(m*(m\/m**1*m*m*m)\/m))\/m*m*m)*m)**13\/(m\/m**(2\/5)*m**(-3))) assuming m is positive.\nAnswer: m**(-2269\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, 16, -1, -0.3, 5, 9620?\nAnswer: 9620","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -5*r**4\/24 + 3*r**2\/2 - 4. Let f(d) be the second derivative of y(d). Let w(t) = 5 - 5 + 2*t**2. Calculate f(w(k)).\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -205861*n**3 - 205867*n**3 + 617492*n**3 - 205863*n**3.\nAnswer: -99*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/286 and -14\/501163?\nAnswer: 11025586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13302*o**2 + 13302*o**2 + 27*o + 2*o**3 - 3*o**3.\nAnswer: -o**3 + 27*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.807926 weeks in microseconds?\nAnswer: 2303033644800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjggggjggjgjg. What is prob of picking 2 g and 2 j?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -8*h - 5*s, -5351 + 5353 = h + s for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2 + (-2*(sqrt(720) + -3 + sqrt(720))*4 - 2*(-4 + -2 + sqrt(720))))**2.\nAnswer: -14688*sqrt(5) + 234436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3205, -3158, -3053, -2866, -2573, -2150, -1573?\nAnswer: -818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j**3 + 18*j**2 - 10*j + 34. What is f(5)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-372)\/(-1581))\/(12\/(-9))*(-2)\/(-6).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 - 20. What is the lowest common multiple of 8 and (g\/7)\/(7\/49)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -14*o + 7. What are the prime factors of b(-17)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 + -32. Suppose -5*c + c - 578 = -m*b, 0 = 3*b - c - 877. Is 13 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 13, z: 5}. Give prob of sequence tz.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1234427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11)\/(-6) + 26\/156. What is the second derivative of 23*j**r - j + 5 - 6 - 38*j**2 + 3*j**3 - 3*j wrt j?\nAnswer: 18*j - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 0. Let y(i) = -4*i**3 + 337*i**2 - 52*i - 2688. Let z be y(84). Solve -2*n + 3*t + c = -z, -t = 3*n - 7 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*v = -82*v - 47*v. Sort -3, 322\/3, v in descending order.\nAnswer: 322\/3, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of 2*a**3\/3 - 669*a**2\/2 + 599*a + 45. What is the first derivative of k(u) wrt u?\nAnswer: 4*u - 669","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 3. Suppose -2*l = 8, -l = 4*h - 3 - 1. Solve 5*d - k = h*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gw when two letters picked without replacement from gwg.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 10*b**2 + 8*b - 5. Let f(z) = 2*z**2 + z. Let k be f(2). What are the prime factors of q(k)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a. Let g be n(0). Factor -24 - 7*y**3 - 36*y + 54*y**2 - 8*y**3 + g*y**2.\nAnswer: -3*(y - 2)**2*(5*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 4*w - 23800012 = 0, 0 = 3*w - 3 - 6. What is u rounded to the nearest 100000?\nAnswer: 4800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, q: 1, m: 3, h: 1, a: 3, i: 2}. Give prob of sequence aahi.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 51 = 9. Suppose -k = 2*k - h. Suppose -2 + k = 4*a. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 11a7682?\nAnswer: 11a7687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24027 = 69*z - 66*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**5\/3 + 1848244*b**4\/9 - 83795252*b**3\/9 + 141717160*b**2 - 739405650*b + 231064500 = 0. What is b?\nAnswer: -308086, 1\/3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(208)*-1 - sqrt(208)) + sqrt(208) - (-2 + sqrt(208)*2).\nAnswer: -12*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 181854235 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 17*x. Let c be u(-4). Let m = 74 + c. Suppose m*y - 7 = -y. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 9070 = 3*i + 9009, -5*i + 107 = -7*g for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*t = -3*s + 8, 3*s + 3*t = 0. Let i = -3 + 7. What is the derivative of w**2 + 3*w**2 + 3*w**4 - i*w**s + 1 wrt w?\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 6*m + 12. Let k be z(-5). What is the remainder when ((-22)\/8)\/(k\/(-140)) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6509 + 65151\/10. Let l = w + -7\/2. Calculate the common denominator of (-88)\/120*(4 - (-25)\/2) and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -42*p*r*t**3 + 13*p*t**3 + p*t - r*t**3 - 2*t wrt r?\nAnswer: -42*p*t**3 - t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 5:46 PM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 4*o. Let d(j) = 100 - 100 + 2*j. Calculate d(a(b)).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -29377, -58755, -88119, -117463, -146781, -176067?\n\"Answer: g**3 + g**2 - 29388*g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20267840 to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 172 = 5*k, 5*o - 79 = -26*k + 28*k. Which is the biggest value? (a) -12\/11 (b) k (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212451 is divided by 1073.\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24577794 by -6.\nAnswer: -4096299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1619877 is divided by 1619858?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 7*i**2 - 9*i + 7. Let k be p(8). Let a be ((k\/(-1))\/(-1))\/1. Let t(h) = -11*h - 2. Let d be t(a). Solve 6*c - 3*c = -d for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -7*b + b**3 + 8 - 28*b**2 - 28*b**2 + 49*b**2. Let d(n) = n**2 + n + 2. Let l be d(-3). List the prime factors of s(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/16 (b) -5\/3 (c) 51 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-1)*h*h)\/((h\/(h*h*h**(7\/4)))\/h))\/(h**(-4)\/h*h*h**(5\/6)*h) assuming h is positive.\nAnswer: h**(95\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 4*x**2 - 1 + 3*x + 4 - x**3 - 7. Suppose 0 = 2*y + 4*v, 21 = -4*y - v - 0*v. What is the lowest common multiple of l(y) and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1466686219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 13211.451 to the nearest 100.\nAnswer: 13200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + 20\/(-16) - 169274\/(-8). Round k to the nearest one thousand.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 402\/12)*-2. Let t = 150 - 56. Let b = t + v. Is 24 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 11, 8 in increasing order.\nAnswer: -0.3, 8, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 228 - 100. Let u = h - -48. What are the prime factors of u?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-10)*90\/(-36).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25840 divided by 40.\nAnswer: -646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m, -4*d + 80 = -5*m - 1424. Calculate the remainder when d is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 87 - 55. Let q(d) = d**3 - 11*d**2 - 19*d - 33. Calculate the remainder when q(13) is divided by z.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -840557.4596556 - -2.9.\nAnswer: -840554.5596556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000105113499 to five dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 4*h - 14 = 0, 20*c - 20 = 24*c - 3*h for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113567614?\nAnswer: 2, 773, 73459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 158674.9 grams to kilograms.\nAnswer: 158.6749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/7 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3054244 - -1?\nAnswer: -3054243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1041142 (base 7) in base 13?\nAnswer: -46162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 44704037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (6 + -2 - (17 - 11))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nht when three letters picked without replacement from jjtqtqqhtetn?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -188133.7 * 2.5.\nAnswer: -470334.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2010 - -3779. What are the prime factors of c?\nAnswer: 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38660?\nAnswer: 2, 5, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 56.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.7 + -5.4. What is the nearest to -1 in -3\/7, 1, f?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11 and 8.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 t when four letters picked without replacement from ntnnlnttnl?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -29638, -29590, -29508, -29392?\n\"Answer: 17*d**2 - 3*d - 29652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 28\/9? (a) 6\/11 (b) 0.4 (c) 4 (d) -12\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -14 (b) 2\/25 (c) 3 (d) -29\/35 (e) 2 (f) -0.1 (g) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1937511571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -819 = -129*f + 784 + 74 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/7 or -0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + (-10)\/6)\/((-12)\/36)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7618350 or -7618356?\nAnswer: -7618356","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 - (-22 - (-87 + 40)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -11157717, -22315433, -33473149, -44630865, -55788581?\n\"Answer: -11157716*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 345*x**3 - 2151*x**3 - 500*x**3.\nAnswer: -2306*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 - 34. Let b be (3 - l)*2*10. What is b rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -2 (c) -12\/59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**2 + 4 - 4*i + 0*i**2 + 0*i**2. Let h = 2 - -1. What are the prime factors of p(h)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(((j*j**1*j*j)\/j*j)\/j))**42)**40*((j\/(j*j**(2\/7))*j)\/j*(j**(2\/11)*j)\/j)\/(j**3\/j**(-5\/4)) assuming j is positive.\nAnswer: j**(-1036221\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*35\/14 - (-3 - -2). What is the third derivative of -44*r**2 - 2*r**2 - 134*r**2 - 140*r**t - 8*r**6 - 45*r**6 wrt r?\nAnswer: -23160*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -140079294 to the nearest one hundred thousand.\nAnswer: -140100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 71 + -72. Let i be 74\/8 + z\/4. Solve d - i = 4*f, 3 = -d - 5*f - 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11177.99991224 + 11178. What is z rounded to six decimal places?\nAnswer: 0.000088","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(114)*4)\/sqrt(6) - sqrt(19)) + 4 + 2)**2*3.\nAnswer: 108*sqrt(19) + 621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -5 - 4 - (-2 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/3 and -3 + 699\/360 + 9\/(-24).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2481476 rounded to 3 dps?\nAnswer: -1.248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u - 21571 = 18209. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 9*n + 308. Let d be h(-34). Suppose 23*m + 4*g + 24 = 19*m, d*g + 6 = 0. Put -1\/3, m, 4 in ascending order.\nAnswer: m, -1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -1 + 0*q**2 - q**3 - 4*q**2 - 3 - 3*q. Determine v(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 u when four letters picked without replacement from uuiiuuiuigugiuiuugg?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 1 = 8. Is (-2 - (z - -4))*469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 32 = -4*b, a - 4*a = 5*b - 30. Let s(g) = 1. Let c = -2 + 1. Let w(u) = -2*u + 5. Calculate a*s(k) + c*w(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 257.5203 rounded to the nearest ten?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-4)\/(-6))*(-5628)\/1340?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v - 11. Let y be m(-9). Let j be (-1 - y) + 0 - -1. Let s = 28 - 24. What is the closest to j in -0.1, s, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 z when two letters picked without replacement from kkkzzzuzujjzk?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -46*f - 5. Suppose -3*u + 4*l = 18, -34*u = -39*u - 4*l - 62. Let w(r) = -23*r - 2. What is u*w(p) + 4*y(p)?\nAnswer: 46*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -730*h**3 + 4231*h + 362*h**3 + 370*h**3 - 671*h**2 + 134*h**2 wrt h.\nAnswer: 12*h - 1074","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(98))**2 + 5.\nAnswer: 14*sqrt(2) + 104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 517 is divided by 74.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7377.003us to minutes.\nAnswer: 0.00012295005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 - (-64)\/(-12))*9. Solve 0 = -3*r - 0*r + 5*g + s, -9 = 2*r + g for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-1 - (-4 - -1))) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 3 = -15. Suppose 2*o + 9 - 1 = 0, 0 = -n*u - o + 106. Calculate the remainder when 109 is divided by u.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3706\/(-306) + 33)*((-119)\/(-14) - 4)?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2519 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*t - 3. Let z be 1\/t*8\/(-2). Let h(u) = -u + 2*u - z*u. Let v(n) = n**2. Calculate v(h(y)).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 3*t - 30. Sort t, -5, 1\/8 in descending order.\nAnswer: t, 1\/8, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 9) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 4*f + 9*f + 621, 0 = v - 4*f - 619. Is v a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1094875 - 2323583. Let r = 1229605.9579 + t. Let s = 898 - r. What is s rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 17, 8\/7, 4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/3 + 11\/12. Let g be (-64)\/198*1 - (-10)\/(-45). What is the nearest to u in -0.4, -3\/7, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 80 = -7*i. Let z be 0 + (1 - 1) - i. Suppose -640 = -21*b + 11*b. Calculate the highest common factor of b and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -4. Suppose -24 = 4*j - 4*v - 0*v, 0 = 5*j - 2*v + 24. Let u be 1*(10\/j)\/(-5). Which is bigger: g or u?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of 5*j**3\/3 - 58. Let r(p) = -9*p**2 + 7*p - 7. Let q(t) = 5*t**2 - 4*t + 4. Let m(s) = -7*q(s) - 4*r(s). Give d(m(k)).\nAnswer: 5*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 481774285 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 504153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*b = 19*b + 106. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*f + 519644 + 331113 - 223797 = 0. Does 7 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3020, 5840, 8460, 10880, 13100, 15120, 16940?\n\"Answer: -100*f**2 + 3120*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -292*g - 18108. Let y be h(-62). Let u(o) = -o**3 - 2*o + 2*o**3 + 4*o**2 + 0*o. Calculate u(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 + 363*j - 1792. What is s(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6863 + -6889.992. Let d = 27 + x. Round d to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -99 - -109. Solve g = -a - a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 smaller than -0.11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131036.\nAnswer: 2, 17, 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f - 6, -4*n + 3*f + 21 = -8 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 110313 (base 5) to base 15\nAnswer: 1208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + sqrt(10)\/(2*sqrt(25)\/sqrt(5))) - (sqrt(600)*-6)\/(sqrt(132)\/sqrt(44)).\nAnswer: -2 + 59*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - 856\/(-64)) + (-3350)\/400.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -1674142\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 5. Let d be q\/4 - (-15)\/4. Sort 2, -2, d in increasing order.\nAnswer: -2, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 66*r**3 - 7*r**2 - 25*r - 7. Let w be d(7). Let n = -11554 + w. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55 - -50 - (1 + -4 - 8)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -8*l**3 + 3*l - 2. Let r be f(2). Suppose 0 = -9*c - 208 - 368. Let q = c - r. Sort -5, 4, q, 5.\nAnswer: -5, q, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 245470?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26.1 + -10.1. Let j = a - 15.9994. What is j rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -1\/48*u**4 + 0 - 1\/24*u**3 + 1\/2*u**2 + 5*u - 1\/240*u**5. Let d(g) be the first derivative of o(g). Factor d(l).\nAnswer: -(l + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3360429 - 2013922. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.397? (a) 2 (b) -5\/6 (c) 1 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/45)\/1*(-7)\/(-1)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1 + 3*sqrt(245) + -1)**2.\nAnswer: 126*sqrt(5) + 2214","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-7)\/(l**7*l)*l**(-5)*l**(2\/15)*(l**(-3\/2)\/(l*l**(-8\/3)*l))**(-33) assuming l is positive.\nAnswer: l**(229\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2926303.\nAnswer: 29, 100907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -164, 1\/4, 3, 2\/3 in ascending order.\nAnswer: -164, 1\/4, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -cf21?\nAnswer: -cf20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 163109540 a multiple of 2276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 7. Let z = 7 - t. Let y = z + -1. Which is the third smallest value? (a) 1\/8 (b) y (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-17)\/9 + 10\/(-30).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of 3*c**5\/10 - 2*c**3 + 5*c**2. Let r(n) = 53*n**2 - 36. Let p(g) = 11*j(g) - 4*r(g). Find the first derivative of p(z) wrt z.\nAnswer: -28*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2250604 rounded to the nearest 10000?\nAnswer: -2250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -16, -9, 4 in descending order.\nAnswer: 4, 1, -9, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/(-10))\/((180\/(-440))\/((-450)\/66)).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.3497641 to 3 dps.\nAnswer: -13.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 divided by 706?\nAnswer: 202\/353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-2 - -15) + -11 - (16 - -18)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, j: 2}. Give prob of picking 2 i and 1 j.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-5*sqrt(931)*2 - (-4 + -4*(2 + sqrt(931) - sqrt(931))))**2.\nAnswer: 10080*sqrt(19) + 3351744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**4 + 2*c**2 - 2*c**2 + (1 - 1 + 2*c)*(-c - 2*c**3 + c) + 287*c**4 - 36 + 14 + 10 + 12.\nAnswer: 282*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96554663 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/540 and 89\/780?\nAnswer: 7020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2. Let j(w) be the second derivative of 31\/12*w**4 + 0*w**3 - 5*w - 2 + 0*w**2. Determine d(j(b)).\nAnswer: 961*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 154 + -158. Let i = -33 + 36.6. Let u = 4 - i. What is the nearest to 0 in -0.5, u, c?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 4*q**2 + 2*q - 7. Let i be n(3). What is the highest common factor of i and 96?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 11*m + 117. Give l(-11).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*m - 23. Let k = 6 + -17\/3. Is k at most m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - -17*(2 + -1). Let g be 148\/i - 2\/9. Suppose 0 = 2*a - 20, -37*k + 5*a - 130 = -41*k. What is the greatest common factor of k and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*a + 309 + 15 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -47*d**2 - d + 13. Determine s(2).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 28*y**2 + 3*y - 2. Is b(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1726339 rounded to 4 decimal places?\nAnswer: 0.1726","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*w**3 - 26510*w**2 - 54385*w + 930300.\nAnswer: 5*(w - 5)*(w + 7)*(7*w - 5316)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*o - 2*o = -4974, -3*o - 7443 = -3*g. Suppose 5*i - 12349 - 154 = 3*h, 0 = -i + 5*h + g. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 8:53 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8387, 8391, 8407, 8441, 8499, 8587?\n\"Answer: m**3 - 3*m + 8389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.31 - 0.31. Which is the smallest value? (a) p (b) -7 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-two fifths of a microgram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2944279452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15014723?\nAnswer: 17, 61, 14479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24112 or 24111?\nAnswer: 24111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 55.1 and 83?\nAnswer: 27.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g. Let a be 17\/(-51) - 4\/(-3). Let t(k) = -k**3 + k. Calculate a*t(n) - o(n).\nAnswer: -n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 - 10*x - 27. Let b(g) = -3*g - 41 - 54 + 94 - 40. Let i be b(-12). What is the least common multiple of 21 and j(i)?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from muhcyrmychmmhh. What is prob of sequence mmr?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 9:41 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 85 = -13*d, -5*d + 120 = -2*d - 7*d - 5*q for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 29*y - 217. Let f be p(8). What is the highest common factor of f and 9615?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100 divided by -25.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -398*c**6 - 3*c**3 + 333*c**2 + 3. Let p(g) = 796*g**6 + 5*g**3 - 666*g**2 - 5. Let k(w) = 5*m(w) + 3*p(w). Find the third derivative of k(u) wrt u.\nAnswer: 47760*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 15*n**2 - 4*n - 26. Is a(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3589*o + 45 = -5*r - 3587*o, 7*o = 5*r + 95 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/4*2\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + 33 + (4 - 6 - 23).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffhfcfcffcfffccc. Give prob of picking 1 f, 1 h, and 2 c.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -37707390 and 3.\nAnswer: -37707387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 670 + -16?\nAnswer: 653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(-3\/17))**32*r\/r**45*r\/(r\/(r\/r**45)) assuming r is positive.\nAnswer: r**(-504\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -24*i + 77 - 21 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzeuuuzuczueeueezzez. Give prob of picking 3 e and 1 c.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {l: 4, i: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 211, 249, 317, 409, 519, 641, 769, 897?\n\"Answer: -v**3 + 21*v**2 - 18*v + 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 - 15*c**2 + 6*c + 24.\nAnswer: 3*(c - 4)*(c - 2)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 208 + 55. Let v be 3*(-1 + 2)*1. Suppose v*k - 1142 = -u. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 86984297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47 + 27. Calculate the remainder when t is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of 32 + 47\/2*y**2 - 27*y. Is 26 a factor of m(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -38*p**2. Let l(r) = 12*r. Calculate l(f(y)).\nAnswer: -456*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -132 + 154. What is the least common multiple of 102 and w?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -18\/7, 3\/2?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 + 0.9. Let p = -17 - -16. Is y < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/4))**(3\/17)\/(i**4\/((i*i*i**7)\/i)))**(-30\/7) assuming i is positive.\nAnswer: i**(-4035\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 708?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, 83, 9 in ascending order.\nAnswer: 9, 39, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -84 + 248. Let d = l + -86. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -764, -788, -818, -860, -920, -1004?\n\"Answer: -z**3 + 3*z**2 - 26*z - 740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + 78*h - 3. Let u(t) = -1. Let i(f) = -3*u(f) + x(f). Let d(y) = y. Determine d(i(c)).\nAnswer: c**2 + 78*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (36\/(-15))\/((-1)\/5). Suppose 4*d - q = 6 + 5, 0 = -5*d - 2*q + 4. Suppose 0 = -d*a + m - 8. What is the remainder when 9 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 7:43 AM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -73, 395, 7 in descending order.\nAnswer: 395, 7, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -4.1. Let b = 0.02 + m. Let u = -0.120037 + b. What is u rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85, 6, -183, -536, -1107, -1950, -3119, -4668?\nAnswer: -6651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153*h - 169*h + 51*h + 18*h - 133*h.\nAnswer: -386*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 2*b + 566, 6 = -b + 2. What is the remainder when g is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.744 - -3.74400030094. What is c rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/4 (b) -0.2 (c) 0.01 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -625*z + 234*z = -8546869. Is z a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 1, -33, -101, -215, -387?\nAnswer: -629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 9)*((-3152)\/112 - -29)*7\/(-14).\nAnswer: 27\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tw when two letters picked without replacement from wtgyi?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**5))\/(s*s**1*s))**(-2\/9)*(((s\/s**0*s)\/s)\/s**(1\/9))\/(s*s\/s**(2\/9)*s*s**1) assuming s is positive.\nAnswer: s**(-10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (34740\/270)\/((-1)\/(-3)) is divided by 109.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1300)*-4*-6 - -4*(sqrt(1300) + -1))*-2)**2*3.\nAnswer: -26880*sqrt(13) + 12230592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3890*z - 113564 + 171788 = -194626 for z.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -3*b. Let x(h) = 2306963*h**2. Determine d(x(f)).\nAnswer: -6920889*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - o**2 - 2*o + 1. Let h(y) = 11*y**3 + 7*y**2 + 13*y - 7. Give 28*c(i) + 4*h(i).\nAnswer: 16*i**3 - 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 28352 divided by -8?\nAnswer: -3544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/12 - 2398*j\/3 - 5750404\/3.\nAnswer: -(j + 4796)**2\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 631513544 to the power of 1\/4, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/931 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -204*t - 43. Let v(w) = 206*w + 41. Let i(a) = -2*k(a) - 3*v(a). Does 9 divide i(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**2*i**5 + 3*d**2 - 39*d*i - 28*d - 52*i**5 + 207*i**2 + i wrt i?\nAnswer: 40*d**2*i**3 - 1040*i**3 + 414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*g + 20. Let q(u) = -14 - 4*u + 5*u - 2*u + g. Let z(a) = a**2 - a + 1. Let y be z(3). Calculate q(y).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.036 - -0.017. Round k to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**2 + 2*z + 5. Let o(b) = -b**2 + b + 3. Let u(y) = -2*j(y) + 5*o(y). Let v be u(4). Let m = 4 - v. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -16653969415 from 1.6.\nAnswer: 16653969416.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 76*k**2 - 19319 + 38646 + k - 19327. Let v(o) = 4*o. What is c(v(m))?\nAnswer: 1216*m**2 + 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 42\/(-30))\/((45198\/(-135))\/(-31)).\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 7)*(-1 + 2 - 2*s + 1)*(-2*s + 2 - 2).\nAnswer: -12*s**2 + 12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -m**2*n**2*x - 14*m**2*n**2 + 4*m**2*n - 388*m**2*x - n**2 wrt x?\nAnswer: -m**2*n**2 - 388*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -m**7\/2520 + 9*m**4\/8 + 21*m**2. Let j(y) be the second derivative of z(y). Let l(f) = 3*f + 3. What is j(l(g))?\nAnswer: -9*g**2 - 18*g - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 - -0.3. Let s = -5435\/64788 + 3\/5399. Sort s, m, -1, 3.\nAnswer: -1, s, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 y when two letters picked without replacement from {y: 2, r: 9, v: 2, f: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -5\/18, -1\/3, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 78018 + -333995056\/4281. Let a = 26163\/2854 - m. Find the common denominator of 107\/88 and a.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*o - 39*o - 3873 - 327 = 0 for o.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 341\/5365 - -1\/185. Let y = a + 83\/58. Suppose 1 + 1\/2*g + 1\/2*g**4 - 1\/2*g**3 - y*g**2 = 0. What is g?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*a**3 + a**2 - 548*a + 14548 wrt a?\nAnswer: 6*a**2 + 2*a - 548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -13290000 to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 6*i**2 - 8*i - 7. Let b(x) = 5 + 7*x + 25*x**2 - 12*x**2 - x**3 + 1 - 8*x**2. Give -6*b(t) - 5*z(t).\nAnswer: t**3 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/15 (b) 118 (c) 4\/113\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 + -6. Let w = 8.2 + b. What is the fourth smallest value in 4, 2\/21, 5, w?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-9))\/((4 - 0)\/(-12)). Solve -5 = 5*d + r, 5*d + 10 = 3*d - i*r for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1754 or -7625?\nAnswer: -7625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 7*c - 5. Let n be p(-8). Let r be n\/(-2)*(-5 - -7). Let a = r + 25. What is the highest common factor of a and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.4 + -4.4. Let y = 197 - 192. What is the smallest value in y, 0.2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 508257 = 3*l + 13257. What is l rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17163 (base 11) to base 4.\nAnswer: 11321110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 2:46 AM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 28156 and 0.06.\nAnswer: 28156.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7310393, 7310390, 7310385, 7310378, 7310369?\nAnswer: 7310358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -j**5\/20 - 13*j**4\/12 - 5*j**3\/6 - 43*j**2. Let y(h) = h**2 + 9*h + 1. Let l(q) = 3*t(q) + 8*y(q). Calculate l(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 166497.735 to the nearest 10000.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000111 to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-2))\/k**(4\/3))\/((k*k**(-1\/3)\/k)\/k)**(9\/5)*k**(-6)*((k*k**(-2\/7))\/k*k)\/k*k*k**(1\/5)*k\/k**(5\/2) assuming k is positive.\nAnswer: k**(-1369\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6097 divided by 871\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 1 = 3*b. Solve -2*q = n + 3 - 4, b = -n - q for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -778 divided by -389\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22727\/16 + -1417. What is the common denominator of l and -53\/28?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2651619 is divided by 149.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1924, 1790, 1430, 730, -424?\n\"Answer: -19*z**3 + z**2 - 4*z + 1946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -16 - 14) + 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + f**5)*((0 + 0 - 1)*(4 - 2 - 1) + 2 - 3 - 1).\nAnswer: -3*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4193417, -8387052, -12580685, -16774316, -20967945, -25161572, -29355197?\nAnswer: -33548820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*c**2 + c**2 + c**2)*(2*c - 3*c + 3*c) - 2*c**3 + 0*c**3 + c**3 - 2*c + 1005 - 5*c**3 - 1005 to d*c**3 + i*c**2 + k + n*c and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2857207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {j: 1, g: 5, t: 6, u: 4, e: 4}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -1 + 2*s**2 - 6*s**2 + s**3 + 4. Let l(a) = -2*a - 3. Let j be l(-3). Determine k(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -4) + (-12 - (-18 + 9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f - 24. Calculate b(13).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 + 15*m + 5 - 6 + 2*m**2.\nAnswer: 2*m**2 + 15*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -s**5\/60 + s**3\/6 - 2*s**2. Let z be c(-1). Suppose 2*y + 4 + 4 = 5*b, z = -2*b - 5*y + 9. Solve -2*a - 4 = b*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of 0*t + 5\/3*t**3 - 154 - 1\/4*t**4 + 7*t**2. Determine j so that d(j) = 0.\nAnswer: -2, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4701808558?\nAnswer: 2, 17, 138288487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3878*f**2 - 3*f + 446 wrt f?\nAnswer: 7756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 505 divide 188583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.37 + 0.17. Which is the nearest to 0? (a) v (b) 1 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by 22?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 1994*d + 1977*d - 5957*d + 1989*d + 514 + 2*d**2 in the form z*d**2 + v*d + u and give u.\nAnswer: 514","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 512868 and 2928?\nAnswer: 125139792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3445377 is divided by 1722682.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b1a279 (base 12) in base 11?\nAnswer: -32857a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17601814*j*p**2 + 9125*j*p - 4*j + 2*p - 3 wrt p.\nAnswer: 35203628*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 321679*-5.\nAnswer: -1608395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 968216, 2, 1 in descending order.\nAnswer: 968216, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Solve 21*g + 18*g - 2*o - 196 = 33*g, -4*g + 136 = -4*o for g.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1735 + 1832. Solve m*t - 98*t = -5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -154 - -156. Which is the closest to -2? (a) o (b) -2 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-10))\/((-3)\/60*-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of 1\/56*o**7 - 3\/8*o**3 + 0 - 3\/8*o**2 + 3\/40*o**6 + 3\/40*o**5 - 1\/8*o**4 + 3*o. Factor i(s).\nAnswer: 3*(s - 1)*(s + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34782 and 552948?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*q + 115 = 34 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*6*(sqrt(30)*-2*6 + sqrt(30)))\/(sqrt(6) + sqrt(48)\/(sqrt(8)*-1) + -5*sqrt(18)\/sqrt(3)))**2.\nAnswer: 17424\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(352) + sqrt(352)*-3))\/((sqrt(891) - (sqrt(891) + sqrt(891)*-1)) + sqrt(891)))**2.\nAnswer: 32\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(288))**2 + 6*(sqrt(2)*2 + sqrt(2)).\nAnswer: -6*sqrt(2) + 289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 19*h + 38. Let c be t(-17). Let d be (25 - 23)*(-1)\/c. Is -2 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3160745.\nAnswer: 5, 7, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 212? (a) 3\/7 (b) -3.6 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5 = -2*q. Suppose q*g - 40 = 3*g. Does 10 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.5 minus 0.195?\nAnswer: 14.305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13820132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -17\/71 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 399 and 202559.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3474 - 3489. Sort -4, -5, x in descending order.\nAnswer: -4, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5280578?\nAnswer: 2, 2640289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1)*b*b**1)\/b**(-19\/3)*b**(-2\/7)\/(((b*(b*b**(-3))\/b)\/b)\/b)*b**0*b**(-5) assuming b is positive.\nAnswer: b**(127\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(3*(-4)\/(-20))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 295 = -2*j + 7*j + 3*g, 0 = -j - 3*g + 59. Let x(b) = b - 55 - j + 105. Let u = -11 - -18. Determine x(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -521*u + 89 = -610*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w + 1 - 689 = 0. Let h = w - 84. Solve h*k = 3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -187 + -10*(-32)\/40. Let b = z - -492. What are the prime factors of b?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -300020*y**2 - y + 2. Let w be j(-3). Let n = w + 9500175. What is n rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56160 divided by -160.\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51 - 38*p + 36*p - 125*p to b + o*p and give b.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -7. Suppose -3*u - 4 = -5*s, -3*u = -s - 2*u. Suppose -s*y = -3*r - k*y + 25, r + 2*y - 11 = 0. What is the third biggest value in -3, 1\/2, r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -59065 to the nearest 1000.\nAnswer: -59000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z**2 - 6*z - 11. Suppose 10 = -5*v + 5*n, -4*n - 18 = -2. Let l be k(v). Is -87 at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**(-46))\/t*t\/t**12 assuming t is positive.\nAnswer: t**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.92 times -685\nAnswer: 630.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -797333961 - 9?\nAnswer: -797333970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 109025.2 milligrams?\nAnswer: 109025200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a - 1872 + 9054 = 0. Is 21 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q\/((q\/(q**(-3)*q))\/q))\/q)**(11\/2) assuming q is positive.\nAnswer: q**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9\/5 - 59\/30. Let j(n) = -n**3 - 4*n**2 + 5*n + 2. Let v be j(-5). Let t be -1 + -2 + (v - 0). Which is bigger: t or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/3 (b) -1\/9 (c) 0 (d) -1\/10 (e) -2\/5 (f) 127272\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -2, -3\/20, -7, -9, -1?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2293*i**4 + 14*i + 3682. Let q(h) = 1527*h**4 + 10*h + 2455. Let a(x) = -5*n(x) + 7*q(x). Differentiate a(k) with respect to k.\nAnswer: -3104*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, v: 1, r: 1, j: 2, o: 1}. Give prob of sequence jh.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -35\/3, 0.7?\nAnswer: -35\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -149 - -125. Are -26 and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 k, and 1 o when three letters picked without replacement from cdczkcczddcztkzocdcc.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1365*k**3 + 1240*k**2 + 60*k.\nAnswer: 5*k*(7*k + 6)*(39*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 - (-2 + 4) - (2 - 5 - (-36 - -32))?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (108\/(-10))\/(15\/(-2 - 3073)). Suppose -4*a + o = -10390. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -19, -22, -17, 2, 41?\n\"Answer: n**3 - 2*n**2 - 4*n - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2 - k**3 - 24*k**2 + 27*k**2 - k - 1. Determine p(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1646624.\nAnswer: 2, 7, 7351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*k - 3592 = 24*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 222*x - 2. Let f(h) = 14*h**2. Calculate f(v(w)).\nAnswer: 689976*w**2 - 12432*w + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/325 and 15\/13.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**3 - q - 4 - q**2 + 44 + 0*q**3 + 3*q**3. Does 14 divide f(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 4:10 AM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 1874355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -3770 at most as big as -3766?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a = -5*x + 19*a + 44195, a + 35371 = 4*x. What is the hundreds digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 388748163?\nAnswer: 3, 17, 53, 143821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 15)\/(-1 + 42\/33).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -721c (base 16) in base 7?\nAnswer: -151111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3, -10, 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.34 + -0.44. What is the third smallest value in p, -4, -1\/6, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4644 - 4642. What is the third smallest value in b, -11\/2, 1\/7, -0.4, 1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2244.3 and 10898 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3643506 or -3643505?\nAnswer: -3643506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20327, 20343, 20357, 20369, 20379, 20387, 20393?\nAnswer: 20397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -129 - -130?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m - 1. Let w be s(1). Suppose -w*p = -7 - 3. Suppose -p*b = -36 - 44. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*y**3 - 3263*y**2 - 1031*y**4 - 5562*y**4 + 4*y**3 + 155*y**2 wrt y.\nAnswer: -158232*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(((-4)\/16)\/(-1))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 6*o - 3*g = -54, -5*o + 3*g = -36. Let c(r) = -r + 19. What is the units digit of c(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2349, -9431, -21253, -37821, -59141, -85219?\nAnswer: -116061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 2*k - 8. Give f(-4).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nzn when three letters picked without replacement from {n: 3, z: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 29 = -4*g - 0, 3*g - 3*d = -12. Let f be 0\/2 + g - 5. Let u(x) = -x - 1. Let q be u(f). Sort -3, q, 2.\nAnswer: -3, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 729 - 2210\/3. Let y be (-8 - 31\/(-4))\/((-5)\/(-4)). Put w, y, 0.3, 0.5 in descending order.\nAnswer: 0.5, 0.3, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + g + 0*g)*(-g + 2*g - 2*g) - 10*g**2 - 33 + 47*g**2 - 38*g**2.\nAnswer: -2*g**2 - 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -769*a = k - 768*a - 176, 0 = 2*k - 5*a - 303. What is the remainder when 27884 is divided by k?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 454.780632 to the nearest 10.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271 is divided by 28.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 7:33 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v + 3. Let f = -1315 - -1318. Let o(g) = g + 4. Determine f*n(w) - 2*o(w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 93 + -65. Calculate the greatest common divisor of l and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5608190*a**3 + 11218167*a**3 - 5609970*a**3.\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.44182 and 13.\nAnswer: 5.74366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -15*14\/7*(-9)\/(-27)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (0 + -4 + 5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 582.1473ug to kilograms.\nAnswer: 0.0000005821473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g**2 - 14*g + 4. Let z be r(-5). Let m = z + 4. Let t(v) = 6*v**2 - 7. What is the tens digit of t(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 158 and 17507980.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 19 = 2*a. Let m = 39 + a. Solve -m = 4*g + q, 0 = -3*g - 4*q - 0*q - 16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 0, 205 in increasing order.\nAnswer: -4, 0, 5, 205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g - 3. Let o be f(3). Let x be (-1)\/(1 + o) + 91. Suppose -2*u - x = -5*u. Is 16 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23836 and 73160?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzhzqzzzizzzz. Give prob of sequence hzi.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -692548, -692533, -692518, -692503, -692488?\n\"Answer: 15*s - 692563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6682236191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus -234835.425839?\nAnswer: 234835.825839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 72*w - 355. What is k(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 262103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 3 (b) 1\/199 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -46 (c) -0.5 (d) 11424 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-39627)\/3264)\/37*(-2)\/14?\nAnswer: 3\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5626 plus -3?\nAnswer: 5623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 2\/3, 7, 0.08, 5, -13 in ascending order.\nAnswer: -13, 0.08, 2\/3, 5, 7, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -16725.\nAnswer: 66900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 4 = -2*f - 2*f, -16 = 3*f - 5*s. Let n(j) = j**2 - 2. Calculate the remainder when 2 is divided by n(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -519735 and 5.7.\nAnswer: -519729.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/12 and 79\/168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4.3 (b) -5 (c) -0.3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 701608276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1dd97 - 1?\nAnswer: -1dd98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 5*f. Suppose 4 = -2*r - 0. Suppose -w = 2*w - 9. Let a = w + r. What is y(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g. Let n(c) be the first derivative of -c**2\/2 - 2*c - 2. Give -n(s) + 3*w(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -22 + (-21)\/(-14).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -547.74926 + 0.23.\nAnswer: -547.51926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 29832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -x**6\/45 + x**5\/15 - 2*x**3\/9 + x**2\/3 - 13*x. Factor s(d).\nAnswer: -2*(d - 1)**3*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -f**7\/105 + 43*f**6\/120 - 329*f**5\/15 - 2418*f**2. What is the third derivative of t(r) wrt r?\nAnswer: -48*r + 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39916713*d**3 - 19616991*d wrt d.\nAnswer: -239500278*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -492*t**3 - 492*t**3 - 500*t**3 + 1986*t**3 - 497*t**3.\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 4*n. Let p(i) = -i. Let u(v) = 12*v**2 + 9*v. Let j(b) = 25*b**2 + 20*b. Let r(d) = -6*j(d) + 13*u(d). Let x(c) = -p(c) + r(c). What is x(h(z))?\nAnswer: 96*z**2 - 8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 + -1. Let i = 49 - n. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-95)\/57*246\/26855.\nAnswer: -2\/131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2*n**2 - 2 - 2*n**2)*(3 - 4 + 4)*(29*n + 339*n + 15*n) to the form r*n + h*n**2 + j*n**3 + g and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 - 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of 3*w - 5*w**2 + 0 - 5*w**2 - 1 + 2*w**2. Does 8 divide f(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-4) - (-9)\/2. Let y be 372\/18 + 2\/6. Suppose -3*b = b - 4*p - t, p + y = 5*b. Is b a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, k: 2, h: 2}. What is prob of sequence kh?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-4 + -1*sqrt(180)*6 - (sqrt(180) + sqrt(180) + sqrt(180) + -1 + sqrt(180) + sqrt(180) + -2 + sqrt(180) + (sqrt(180) - -5*sqrt(180)*-2)))**2.\nAnswer: 36*sqrt(5) + 1622","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y = 2*r + 19*y + 35, -5*r + 5*y = 0. Let h(i) = i**3 + 3*i**2 - 4*i - 3. Let t(u) = u**3 + 3*u**2 - 5*u - 2. Calculate r*h(c) + 4*t(c).\nAnswer: -c**3 - 3*c**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**4 - 1148*p**3 - 150098*p**2 + 4291248*p.\nAnswer: -2*p*(p - 24)*(p + 299)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3749143?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q - 6. Let p(m) = -m - 2. What is -8*p(o) + 3*r(o)?\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (81 - (30 + 45)) + 67\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 666?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j + 0*j - 6*j + 9*j**2 + 2*j.\nAnswer: 9*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 242.9779kg?\nAnswer: 242977900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 2, -74, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-22)\/(-3))\/((-5)\/(-60)). Suppose 0 = d + 4*d - 55. What is the highest common divisor of i and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2 - 189*n - 13 + 172*n wrt n.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1018 + -47100?\nAnswer: -46082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iif when three letters picked without replacement from {o: 4, f: 1, y: 6, i: 6}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.997224 and -64?\nAnswer: 127.822336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -17*b. Let z(j) = -131*j - 3. Calculate z(c(v)).\nAnswer: 2227*v - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 18872*u - 90. Let k be o(-5). Is 1 + (-16)\/6 - k\/15 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 13 = -3*m, -4*m = m - l + 21 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3*(3 + 1*(sqrt(847) - (0 + sqrt(847) + 0 - sqrt(847)) - sqrt(847)) + -3*(sqrt(847)*2 + 3)))**2.\nAnswer: 7524*sqrt(7) + 274789","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttttgttxptitpttli. Give prob of picking 1 i and 1 g.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3036025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -16\/17, 47, 1 in increasing order.\nAnswer: -16\/17, 1, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 11 = -4*g + 38, -g + 3*j = -25. What is the common denominator of 41\/14 and 11\/8*(-24)\/g?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 336139158 by -438.\nAnswer: -767441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {a: 2, l: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -12*s**2 - 3872*s + 16958. Give p(-327).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 14 - 10 = 0. Which is the second smallest value? (a) 3 (b) -0.4 (c) -2\/11 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + (-24)\/(-10))\/(54\/135). Solve -d - o*u - 4 = -4*u, -2 = u for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3 + 4*v**2.\nAnswer: 2*v**2*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 10*f + 23. Let r(n) = n**2 - n - 39. Let p be r(-5). What is l(p)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5*h = -12. Let x = -7.6 + 7. Let z = x - -4.6. What is the third smallest value in h, z, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*i = -83*i - 5*f - 114184, -171302 = 3*i + f. What is i rounded to the nearest one hundred?\nAnswer: -57100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) 8 (b) 0.3 (c) 0 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 24570, 5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.507 rounded to one dp?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 3*n - 51, 5*n = -0*z - z + 16. Let k be 3\/z + (-21)\/(-9). Suppose k*l + 2*l = 24. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12645 + 20806 + 0*p + 2*p - 11073.\nAnswer: 2*p + 22378","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 54 + 1\/4*4*0. Is m > 53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 941511 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 5*u - 15. Let q be c(4). Let x(g) = -3*g**3 + 5*g**2 - 6*g + 3. Let h be x(q). Let v = -188 - h. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 6. Let k be z(3). Suppose -5*m = q - 2, 4*m - k = 2*q - 7. Solve -5 = -3*d - q*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 2984 (c) -361 (d) 0.3 (e) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154852085?\nAnswer: 5, 761, 40697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225 + 1974 = 3*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 - -10)*(-2)\/(-7). Suppose 5*y + a + 16 = 0. Is (223\/y)\/(30\/(-24) + 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 9*g - 7. Let v be q(2). Let i = v - -2. Suppose 7*d - 1 - i = 0. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128) + sqrt(128)*-2 + 3 - (5 + (sqrt(16) + sqrt(48)\/sqrt(3))\/sqrt(8)).\nAnswer: -10*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 7*x = 72. Let d = 4 - x. Let q = d - 18. Which is smaller: 6 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1027 and 16888482?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of 34*t + 2\/5*t**5 + 20\/3*t**3 + 66 + 0*t**4 + 0*t**2. Find the first derivative of j(w) wrt w.\nAnswer: 8*w**3 + 40*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 847\/44 - (-2)\/(-8). Let f(j) = 20*j**2 - 27*j + 53. Let p be f(y). Round p to the nearest one hundred.\nAnswer: 6800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9009\/(-616))\/((-3)\/7*266\/304)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 2*y - 14, -2*y = -4*y - 2*h + 8 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 38856, 38854, 38852, 38850, 38848?\n\"Answer: -2*n + 38858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oou when three letters picked without replacement from {f: 1, o: 4, m: 1, u: 2, e: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23034 - -4?\nAnswer: -23030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ua when two letters picked without replacement from {a: 1, f: 1, u: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 9*u**2 - 1693*u + 74474. Calculate q(118).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 4190133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + l + 1. Let a be s(-2). Suppose -a = -2*f + 3. Let u(g) = g**3 - 5*g**2 - g + 1. Let h be u(5). Sort h, f, -1.\nAnswer: h, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4495632838 to the nearest integer?\nAnswer: 1650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 224 and 36512.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -2\/31, 0.2, 2\/1611?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 50497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 5*z**3 - 8*z**2 + 7*z + 1. What is the least common multiple of 187 and t(1)?\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 60 - 57. Suppose -11*v + 8 - 8 = 0. Does 2 divide x + v*((-3)\/(-3))\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(375) + 5*sqrt(375)*-1)*-5)\/((sqrt(605) + 2*sqrt(605) + sqrt(605) - sqrt(605))*3*-2).\nAnswer: -50*sqrt(3)\/99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9500 - 9503. Sort g, -5539, -5 in ascending order.\nAnswer: -5539, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4*d**3 + 5*d**2 + 2. Let f(h) be the third derivative of -h**6\/120 + h**5\/60 - 4*h**2. Give b(q) - 5*f(q).\nAnswer: q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 496 - 8. Is 34 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23993581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wdqoddppopddqwoedddd. Give prob of picking 1 e, 1 o, and 1 p.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f - 75. Let s(v) = -18857*v**2. What is l(s(n))?\nAnswer: 18857*n**2 - 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 300 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19)\/19*((-6)\/(-20))\/3.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(242)*1)*-6 - (1 + 3*sqrt(242))*-4)**2.\nAnswer: -1848*sqrt(2) + 8908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 0*c + 9 = 0. Suppose i - c = 4*i. Let b be (-6)\/i - -2 - 0. Solve g + 3 = b*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 17 = 5. Suppose -s = -j*s. Suppose 4*x + 8 = s, -3 = -w - x + 3. Is 4 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27153 and 252.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2988377?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1123839 is divided by 561889?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v. Let k(y) = -9*y. Let m(t) = -2*k(t) + 21*p(t). Let h(z) = -3*z. Calculate 6*h(c) - 5*m(c).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -5. Let j = 0.75 - -3.25. Let f be ((-12)\/36)\/((-1)\/(-5)). What is the closest to g in j, f, -9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(-3)*96\/(-40). Let b(y) be the third derivative of y**5\/60 - y**4\/8 + y**3\/3 + 21*y**2 + 3. Give b(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 39*u + 1246. Calculate d(-32).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2374620 and 1710?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -438 + 474. What is the remainder when 125 is divided by 40 + (-12)\/(-30) + o\/10?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**3 - 1114*a**2 + 1114*a**2 + a + 100 + a.\nAnswer: a**3 + 2*a + 100","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*s - 89*s = 16. Suppose -3*r - s + 22 = 0. Calculate the greatest common factor of r and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 696.4 + -643. Let g = -31.3 + o. Round g to zero dps.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3853639 - -1?\nAnswer: -3853638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -15*u**2 + 7*u**2 - 4*u**2 + 14*u**2 - 4*u**2. Let y(f) = -233*f + 1. Calculate j(y(p)).\nAnswer: -108578*p**2 + 932*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*j + 31*j - 99*j + 26*j.\nAnswer: -30*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -210*d**2 + 6*d + 2479. Let h(g) = 419*g**2 - 11*g - 4935. Let o(x) = 5*f(x) + 3*h(x). Find the first derivative of o(t) wrt t.\nAnswer: 414*t - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 801 is divided by 115?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 48 = -v. Let j = v - -34. Let s = j + 12. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4*f - 5*d - 33, -3*d - 55 = -4*f. Solve -11 = 3*y - 2*a - 4, 4*y = -4*a - f for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1393028 - 486970 = 4*r + 2*m, 2350005 = -5*r + 5*m. What is r rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-420)\/49)\/12*1\/(-10)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 44*z - 2533. Give c(-29).\nAnswer: -416","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, f: 2, t: 7, s: 5, v: 1, p: 1}. Give prob of sequence plt.\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1384847 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 76\/20 + 6\/5 + -1. Let u be (3 - y)*-109 - -1. What are the prime factors of u\/(-6)*(-17)\/((-119)\/(-42))?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3309 less than 2176603?\nAnswer: 2173294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 507182178 divided by -169060726?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 108\/(-12)*(3\/(-15))\/1.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 - -51103124?\nAnswer: 51103112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 77 - -34. Calculate the remainder when f is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 109430, 109435, 109442, 109451, 109462, 109475?\n\"Answer: a**2 + 2*a + 109427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*a, -5*u + 19*a = 15*a - 1937. List the prime factors of u.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k + k - 2*k**2 + 2*k. Let p(y) = -7*y. Determine p(l(r)).\nAnswer: 14*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 + 29. Suppose 5*o = -0*o + 5*b - 10, -c*b - 6 = o. Sort 3, 5, o in ascending order.\nAnswer: o, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -53*d + 195. What is w(4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (166\/830)\/((-4)\/(-620))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 + 17 + 6 - (21 + 0) - -3) + -99?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.82196 rounded to 1 dp?\nAnswer: -7.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 + 67 = 6*d. Let f be (-1 - (-1)\/(-1)) + d. Let y be 1\/(-4) - f\/(-4). Solve 0 = -w + p + 6, y*w + 2*p = 2*w - 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4459.74 to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 0 = h. Suppose h*s - 6*s = -120. What is the highest common divisor of s and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30017575 and 33448155.\nAnswer: 1170685425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136789956?\nAnswer: 2, 3, 17, 101, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/144*((-258)\/5)\/((-2)\/(-5)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3282 take away -722.70481977?\nAnswer: -2559.29518023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 6028628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001969707 rounded to 7 dps?\nAnswer: 0.000197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 1 - 1 - 2*m + 4*m - m + (-3 + 3 - 1)*(3 - 3 - m) + 0*m - 3*m + 5*m - 2*m - 2*m + 5*m)*(2*m + 0*m - m).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -5*f**2. Let h(i) be the third derivative of i**4\/4 - i**3\/3 + i**2 + 2. Give d(h(g)).\nAnswer: -180*g**2 + 120*g - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 183938 divided by -16?\nAnswer: -91969\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-5*(sqrt(1584) + 0)*3 - (-2 + sqrt(11) + 0 - (-1 + sqrt(396)) - ((2*sqrt(77))\/sqrt(7) + 2 + 2*sqrt(11)))**2.\nAnswer: -900 + 666*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 5*p**3 - 24895*p**2 - 99640*p - 99660 = 0.\nAnswer: -2, 4983","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*y - 1274 = -374*y + 682 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1332 greater than or equal to 603?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 4139 = -3*n - 4102, -5*n = 3*q - 58 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 + -2)\/(-2 + 1). Suppose 0*z = -4*l + 2*z + 138, l + 5*z - 40 = 0. What is the highest common factor of f and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, a: 3}. Give prob of sequence oa.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 11:02 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1899767775.\nAnswer: 3, 5, 37, 53, 12917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 129.31195 and 19?\nAnswer: 2456.92705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 110 - 68. Suppose 5*f - o = -37. Let k be 14\/4*2\/5. Which is smaller: f or k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 13. Let q(o) = -o**3 - 5*o**2 + o - 4. Calculate q(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*-0.029.\nAnswer: 0.203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n + 4. Suppose -3*a + 2*l - 16 - 3 = 0, -3*a - 24 = -3*l. Let b be v(a). Let c(o) = 2*o + 12. What is the remainder when 2 is divided by c(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -165492 + 219276888\/1325. Which is greater: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 8*c + 228. List the prime factors of p(8).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8384978 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -395*t = -195*t - 212*t - 144 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1122121 + 10?\nAnswer: -1122111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.309108 + 0.33827. What is k rounded to 3 decimal places?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**15*c)*c**(2\/49)*(c**(-2)*c)\/(c*c**(-15)))**(-30) assuming c is positive.\nAnswer: c**(2880\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -211030231 + 2020?\nAnswer: -211022211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 81.65747 decades?\nAnswer: 816.5747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate v**2*y + 3*v**2 - 103*v + 81*y with respect to y.\nAnswer: v**2 + 81","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 138960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22552, -4, 19 in increasing order.\nAnswer: -4, 19, 22552","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/16 and 26\/(-91) - 12\/(-14) - 67350\/110880?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/(-18))\/((-2)\/((-4)\/(-3)))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**3\/13 - 8860*m**2\/13 + 9361784*m\/13 + 18759024\/13 = 0?\nAnswer: -2, 1746, 2686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 3\/256367?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of 1\/2*t**2 + 0*t + 3. Let g(a) = 4 + 3*a + 0 - 4. Determine l(g(s)).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1939579, -3879158, -5818737?\nAnswer: -7758316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 d when two letters picked without replacement from ldz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*i**2 - 3*i**2 + 3*i**2.\nAnswer: 11*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8530?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -262, -548, -834, -1120, -1406?\n\"Answer: -286*y + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ghhh when four letters picked without replacement from hhghhhghhghggggghgh.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - ((-2)\/11 - (-8)\/44).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, -30, -188, -492, -990, -1730, -2760?\nAnswer: -4128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*c + 15*c = -5*v - 77, 4*v = -4. Let m(d) be the third derivative of 0*d - 1\/15*d**4 + 0 + 0*d**3 - 1\/75*d**5 - c*d**2. Factor m(y).\nAnswer: -4*y*(y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-2)*-2*-2. Let s be 9\/(-1)*2\/(-6). Let u(r) = -8*r - 2. Let o be u(-2). Solve -3*w + s*z = -24, -4*z = j*w + 6 - o for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 189*x**3 + 2*x**2 - 2426*x + 1348290?\nAnswer: 567*x**2 + 4*x - 2426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -107 + 113. Let x(s) = s**3 - 6*s**2 - 3*s + 6. Determine x(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2056 and -5?\nAnswer: -10280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12445 or -9?\nAnswer: -12445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -288, -295, -304, -315?\n\"Answer: -j**2 - 4*j - 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 143*f**2 + 4. Let n(k) = -142*k**2 + k - 3. Let x(v) = -6*j(v) - 5*n(v). Find the second derivative of x(z) wrt z.\nAnswer: -296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 37*p + 119. Let z be n(-35). What is the greatest common divisor of z and 1813?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 130*z**2 - 5*z + 285. Let t(b) = -9*b**2. Give a(t(i)).\nAnswer: 10530*i**4 + 45*i**2 + 285","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 8624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 18.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 961*w + 492*w = 259*w - 11940 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - p + 5*k - 109 = 0, k = 4*p - 79. What is the third derivative of -p*t**2 + 14*t**6 + 6*t**4 + 8*t**4 - 14*t**4 wrt t?\nAnswer: 1680*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/6*(-216)\/162. Determine x so that -2\/9*x**3 - 4\/9*x**2 + g*x**4 + 0*x + 0 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1207, -1206, -1205, -1204, -1203, -1202?\n\"Answer: h - 1208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*k - 3 + 27 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.16603 and 0.572.\nAnswer: 0.40597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -2*k + 59, 0*d - d = -4*k + 91. Let m = k - 10. 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: What comes next: -884, -1767, -2650, -3533?\nAnswer: -4416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 19*z**2 - z - 1. Let v be y(2). Let i = -23\/93 + 34153\/465. Let f = v - i. Is 3 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -0 - 13. Let w(u) = 7*u**2 + 6. Let p(t) be the second derivative of 3*t + 0 - 5\/4*t**4 - 13\/2*t**2 + 0*t**3. What is m*w(x) - 6*p(x)?\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z**2 + 18*z - 13*z - z**2)*(-1 + z + 1 + 0*z - z + 2*z - 2*z - 4*z + 4*z + (0 + 0 + 2)*(0*z - 4*z + 3*z) + 2*z - 3*z - 3*z - 2*z - 3*z + 6*z).\nAnswer: -25*z**3 - 25*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2026883 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 233719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/33 + (-1782)\/(-726).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 67, 65, 61, 55, 47, 37, 25?\n\"Answer: -x**2 + x + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 16*j**2 - 7*j - 64. What are the prime factors of q(12)?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10014 and 297312322.\nAnswer: 3338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a - 8. Let t be i(-14). Let l = 4 - t. What is the highest common divisor of l and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13457764.62 rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6c2aa (base 13) to base 10.\nAnswer: -198208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*x + 4 = 10*x + 4. Solve 29*h + 7*h + 288 = x for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 5:39 AM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 520336\nAnswer: -1\/130084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 1.7. What is f rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 53130 = 39*w. Does 13 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 2*t - 70, 2*t = -2*t - 3*g + 96. Suppose 5*z = t + 153. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 26*o**2 - 2302*o - 1053. Determine d(89).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23019 by -2736.\nAnswer: -7673\/912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34161?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32.3 - -30. Let l = v + -0.6. Let t = 2.63 + l. Round t to 2 decimal places.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 6627258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -1 + 4. Solve -2*q - 3*q = h*d - 3, -5*d - q - 17 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -4*x**2 - 29*x - 174. Determine b(-6).\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -2*g + 7*g - 16, 5*g - 20 = 5*d for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 2*z**2 + 5*z - 8. Suppose -2*k + 3*k + 6 = 0. Is r(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.96104 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 25 = -m + 3*m, 4*m - 14 = 2*g. Let t be (1 - g) + (6 - -1). Solve 0 = -2*o - 1 + t for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 48*a**2 + 28*a + 3. Let w(p) = 14*p**2 + 111 + 29*p - 107 + 34*p**2. Let l(i) = 6*d(i) - 5*w(i). Find the second derivative of l(g) wrt g.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -140059\/88 + 17506\/11. Suppose -3*f + 15 = -2*f. Let y be ((-3)\/20)\/((-12)\/f). What is the closest to -1 in y, -2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -262 + 265. Let r = -48 + 84. Calculate the highest common divisor of i and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1254 or 1251?\nAnswer: 1251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 37675\/402 greater than or equal to 95?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 137d (base 14) in base 4?\nAnswer: 311303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + m + 12 = -5, -5*b - 5*m + 35 = 0. Suppose -16 = -b*q - 0. Put -5, 0, -3, q in increasing order.\nAnswer: -5, -3, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24592.1 rounded to the nearest one thousand?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -43405, -86792, -130165, -173524, -216869, -260200?\n\"Answer: 7*r**2 - 43408*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -89.\nAnswer: 5\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5290 + 8160 = 25*i. Suppose 2790 = 13*x - i. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 123640 + -2348630\/19. Let h = o + -5416\/171. Let n = 571\/230 - -2\/115. What is the common denominator of n and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (16510\/39 - -34)*(-6)\/(-4). Calculate the greatest common divisor of i and 4018.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -679?\nAnswer: 1\/679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -294516*w**6 - 10*w**4*y**2 + 2*w**2*y + 2*w*y**2 + 3*w*y - 2*w + 26777*y wrt w.\nAnswer: -35341920*w**3 - 240*w*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -13*q + 1. Let y(n) = 3*n**2 + 4. What is p(y(x))?\nAnswer: -39*x**2 - 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 14*a - 2. Suppose -3*w + 3 = a, 5*q + 2*w - 619 = 843. Suppose -5*f + 702 = -2*i, 0 = -f - f - 2*i + q. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(2\/2 - 2). Suppose -5*d - 2*g + 260 = 275, -9*g = -d + 138. Put s, d, 15 in descending order.\nAnswer: 15, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/7 - 348\/84) + 75. Let w = 93 - d. Calculate the remainder when w is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03632 to 4 dps.\nAnswer: -0.0363","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 6. Let v = 0.74 + -32.74. Let h = -31.8 - v. What is the nearest to f in -1\/3, -1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1107 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -1. Let f = 1 - u. Which is smaller: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n - 2*n + 4*n**4 + (-2 + 2 - 2*n)*(33*n**3 - 14*n**3 + 0*n**3).\nAnswer: -34*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*y - t - 25 = 0, 0 = -y - 3*t + 21. Which is the nearest to 2\/5? (a) 1 (b) 4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 2*b - b)*(2 + 2 - 2) + 303032 - 719*b - 303032.\nAnswer: -717*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24573*h**3 + 0*h**4 - 4*h**2 + 24570*h**3 - 14*h**2 - 2*h**4 to j*h**4 + r*h**2 + o*h + v + w*h**3 and give r.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1495\/6 - 4703\/30. Let m = -92 + o. Let q = 0.1029 - 0.0029. What is the second smallest value in q, -3\/7, m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.15 + 0.150026. What is u rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 516 = 5*q - x, -5*q = -4*x + 291 - 810. Suppose 0 = -10*r + 217 + q. What is the remainder when 50 is divided by r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 4*o. Suppose o = -n - 3*a - 9, -15 = 5*a. Solve 2*q = -n - 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + h**2 + 2*h + 1. Let j = -1 - 0. Let i be q(j). Let n(g) = -2 + 2 + 5*g**3. Calculate n(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + (17 - (-5)\/5). Is 14 < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -563*i + 232*i = 312*i + 8755 + 19537 for i.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(425)*1 + 4 - (sqrt(425) + sqrt(425) + 0 + 4 + (sqrt(425) + -1)**2*3)) + -2.\nAnswer: -1280 + 25*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 132384 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 105\/10 - 3\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -80 - -84. Let s be -2 - (-28)\/(t\/1). Suppose -2*d + 5 = 1. Solve -s*r = c - 26, 4*c + d*r = 3*r - 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2464358698?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.59? (a) 4.04 (b) 0.5 (c) 0.0538\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 455 (base 9) in base 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 346205851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 108 = 142. What is the highest common divisor of 190 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/11 in -4, -0.8, -0.5, -0.0867?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of 31*v**4\/12 + 2*v**3\/3 + 28*v + 4. Let x(c) be the first derivative of m(c). What is the second derivative of x(j) wrt j?\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 65 in -21, -0.007, 0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -3. Suppose -25 = -3*c - 2*c - 4*i, -4*i = -5*c - 15. What is the nearest to 3 in 0.4, c, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -92, 2.171, 0.3, 0.2, -9 in increasing order.\nAnswer: -92, -9, 0.2, 0.3, 2.171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2786 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24.22 - 5.08. Let t = -29 - l. What is the biggest value in -3, 0.1, t, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18788 times -2\nAnswer: 37576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1503 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g. Let c(o) = 24*o - 37 + 73 - 36. What is c(r(w))?\nAnswer: -48*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24 - 134?\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 53? (a) -785 (b) 3 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in months?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -2 + 53 + -35 + -15 - -9?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 3*v**2 - 5*v - 5. Let c be b(-4). Let l(i) = 5*i**2 - 3*i + 1. Let o(r) = r**3 - r**2 + r - 1. Let z(y) = c*l(y) + o(y). What is z(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/5*(-2)\/15. Let b = -49\/100 + f. Let t be (-14)\/77 + (-39)\/(-33). Which is smaller: t or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1974 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 365361 - ((-96)\/56 + (-2)\/7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6*2*2\/(-8). Suppose q + q - n*b = 1, 4*b = -3*q + 44. Suppose -2*k + k + q = 0. Solve 5*m - c = 29, 8 = -4*c - k for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*m**5 + 9*m**4 - 276*m**3 - 2*m**2 + 1805*m - 2 wrt m.\nAnswer: -120*m**2 + 216*m - 1656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 6*p**2 - 3. Let b(f) = 7*f**2 - 4. Let y(i) = -4*a(i) + 3*b(i). Let o(j) be the second derivative of -j**3\/6 + j. Give o(y(t)).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -555 divided by 5.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 17*m**4 + 6*m**3 - 6*m - 3. Let o(i) = 18*i**4 + 5*i**3 - 5*i - 3. Let c(l) = 6*o(l) - 5*q(l). Find the first derivative of c(d) wrt d.\nAnswer: 92*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 268, 623, 978, 1333, 1688, 2043?\n\"Answer: 355*h - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -424244911 or -424244910?\nAnswer: -424244911","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1738285 and -6.\nAnswer: 10429710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1859.9 + 528?\nAnswer: 2387.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 198 and 52928436?\nAnswer: 158785308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -29*i**6\/20 - i**5\/30 + i**4\/12 + i**3\/2 - 2*i**2. What are the prime factors of j(-1)?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -2*p - 4*v + 44, 0 = -p + 3*v + 5. Solve -j = 3*j - p for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -122 - -403. List the prime factors of a.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 26.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 0*x + 4*x = -20, -259*c + 262*c - 30 = 4*x for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - o = 6251, 18 = -o + 22. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20911 or 19990?\nAnswer: 19990","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000031876 to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/21 of a week?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 83, 2\/11, -1\/2, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 2*w + 22, 0 = -5*w + k - 19 - 23. Let x = w + 13. Solve -x*l - 2 + 22 = 0, -4*d = 5*l - 28 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 w, and 1 a when four letters picked without replacement from {w: 2, a: 2, o: 1, x: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1010000001010101110 (base 2) to base 16\nAnswer: -502ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((3*1857)\/1)\/((-3)\/12). Let y = 37751\/208 - 2292\/13. What is the common denominator of y and j\/(-7560) - 4\/10?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195844 a multiple of 242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -5\/2132, -0.4 in ascending order.\nAnswer: -8, -0.4, -5\/2132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a microgram in nanograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 38*z**2 - 65*z + 111. Let k = -542 + 505. What are the prime factors of w(k)?\nAnswer: 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 7*m - 6. Suppose -4*r + 0 + 8 = 0. Suppose 0 = r*z + 6*z - 40. Let x be j(z). Solve 3*b = -5*n + 15, 5*b = -n + x - 4 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/4 (b) 0 (c) -2 (d) 1840 (e) 55 (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*p + 19*p + 32 = 0. Suppose p*v = 7 + 9. Solve 4*q + x + 2 = -5, 2*x = -v*q + 4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1463248+5.5314\nAnswer: -1463242.4686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 p when three letters picked without replacement from {j: 1, p: 3, g: 1, d: 3, k: 4, c: 3}?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 79383 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(-624)*8*(-21)\/(-1).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2319821 times 0.027?\nAnswer: -62635.167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2, 0.2, 2\/17, -10?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 236*g + 2141. Let a be c(-9). Solve -a*x - 26 = 76 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1890 and 2730510.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8586 and 32508?\nAnswer: 5168772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.3 - -3. Let o = 15251 - 15250.9. What is the nearest to 0 in 5, i, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, j: 3, n: 6, z: 3, m: 1}. Give prob of picking 1 s, 1 j, and 2 n.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3241\/6 + -539. Find the common denominator of 67\/4 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*n - 1. Suppose -4*o + 2*r = n*r - 17, -11 = -4*o - r. Calculate the lowest common multiple of o and (3 + 1)\/(-1 - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-3)*r\/(r\/(r*r\/r**(-22))) assuming r is positive.\nAnswer: r**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (14\/(-21))\/((-72)\/(-81)). Which is the nearest to 40? (a) j (b) 0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 12. Let b be l\/(0 - 2\/1). Suppose b = y - 2*y + 11. What is the highest common factor of 77 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 461 is divided by 77?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1470.9 rounded to the nearest one hundred?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.02 - -0.04. Let h = 2062.8 + -2063. Put 2\/5, h, p in descending order.\nAnswer: 2\/5, p, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 55*n**2 + 410*n - 14. What is j(-9)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.32894392 rounded to three dps?\nAnswer: 0.329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -259\/16 + 1139\/144. Find the common denominator of (-3)\/(96\/(-146)) - -1 and z.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 7. Suppose 2*n + b*n = 8. Suppose o - n = 2. Solve v - 5*q = o*v, 0 = -5*v - 3*q for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -270*u + 272*u - 10, -8 = -2*h for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6396\/(-1248) - (-2)\/16. Sort 7, n, -1, -46, 4 in increasing order.\nAnswer: -46, n, -1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2142\/(-84)*4\/15 - -7.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, u: 1, n: 3, c: 4, d: 2, b: 2}. What is prob of sequence dduc?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/13)\/n*n**(2\/9)*(n*n**1*n)**(-9\/2) assuming n is positive.\nAnswer: n**(-3377\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -112, -2\/3, 2\/7 in decreasing order.\nAnswer: 2\/7, -2\/3, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 315 divided by 63.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 23*s**2 + 124*s + 84. What is z(13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2413 + 2415. Solve -b*s + 5*f + 3 + 16 = 0, -19 = -5*s + 3*f for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3800 and 900296?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/7826 and -99\/9632.\nAnswer: 125216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04959 + 0.3.\nAnswer: 0.25041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*g**5 - g**5 + 3*g**5 + (-2*g**2 - g**4 + 2*g**2)*(-1 + 1 + 2*g).\nAnswer: -6*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 10:51 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3 - (-25 + 26)\/((-4)\/(-14))*-60 is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k**2 - k. Let n be h(2). Let s = 8 + 83. Suppose 2*q - 69 = s. Calculate the greatest common divisor of n and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -9*t**3 + 8*t - 3. Let q(k) = -8*k**3 + 8*k - 2. Let c(m) = 2*l(m) - 3*q(m). What is the second derivative of c(z) wrt z?\nAnswer: 36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1573.51541 rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12935339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*g = 79*g - 1633354. What are the prime factors of g?\nAnswer: 2, 19, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -824, -1416, -1798, -1994, -2028, -1924, -1706?\nAnswer: -1398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**2 + 4804*n + 29 - 59 + 13 + 18 as x*n + p + q*n**2 and give x.\nAnswer: 4804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -12*x + 56. Let f be g(9). Let m = 57 + f. Suppose 0 = -3*p + w + 310, 2*w = m*p - 2*w - 519. What are the prime factors of p?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from xhhehxqhhxxxvhx?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2153382585?\nAnswer: 3, 5, 131, 317, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/462220 and -73\/415998?\nAnswer: 4159980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -144.14 - -152. Let r = -0.14 - g. Suppose -2*c - 38*c = 0. Put r, 6\/7, c in descending order.\nAnswer: 6\/7, c, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -206 - 3102?\nAnswer: -3308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.16 (b) -0.4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -l**3\/3 + 16*l**2 + 45*l. Calculate the remainder when (-1)\/4 - (-785)\/20 is divided by t(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-28)*u)**(-7) assuming u is positive.\nAnswer: u**(-210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(500) + 1)*1 - (2 + sqrt(500))*4)*4)**2.\nAnswer: 6720*sqrt(5) + 72784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*y**3 + 2*y - 2*y - 2*y**3 + (-y + 3*y + 0*y)*(-y**2 - y**2 + y**2) - 30*y**3 + 203*y**2 - 203*y**2)*(-y**2 + y**2 - 3*y**2).\nAnswer: 96*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -c**6\/6 - 26*c**5\/5 + 3*c**4\/2 + 148*c**3\/3 - 205*c**2\/2 + 78*c - 878. Factor n(v).\nAnswer: -(v - 1)**3*(v + 3)*(v + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (162\/6570)\/((-9)\/30). Let o be 1\/(-1)*1\/1. Which is greater: h or o?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -570 + 581. Let f(g) = -153 + 153 - s*g. Let t(m) = -2*m. Give t(f(r)).\nAnswer: 22*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/52 and -1\/138047?\nAnswer: 552188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/13, 3538\/47, -3?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61291931 is divided by 1512?\nAnswer: 1499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -420977791 rounded to the nearest one hundred thousand?\nAnswer: -421000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 + 4)*(m - 3*m + 0*m)*(9*m + 24*m - 7*m).\nAnswer: -104*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1036711754?\nAnswer: 2, 13, 71, 561599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34701 and 5715990.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 0.1 (b) 2\/45 (c) 47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.05 - -0.05. Sort -1\/5, x, -84 in decreasing order.\nAnswer: -1\/5, x, -84","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -5. Let i be (-5)\/(3\/(-9) + r). Let b be -2 - (1 - 8) - 2. Calculate the greatest common factor of i and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 5292*b - 74038. Give i(14).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 357\/20*4\/(-6) and -95\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4*y - 30 = 3*h, 0 = -4*y - 3*h + 75. Calculate the lowest common multiple of y and ((-140)\/12)\/(23\/(-138)).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-158)\/(-64))\/(11\/44) and -17\/66.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6519 is divided by 6509?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - 2*a - 3*a)*(41 + 28531*a - 682 - 28534*a).\nAnswer: 3*a**2 + 641*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, n: 12}. What is prob of picking 2 g?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132 divided by 13.\nAnswer: 132\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 62121385 or 62121384?\nAnswer: 62121384","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-4))\/((-475)\/(-228))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 10*n**2 + 9*n + 8. Calculate the lowest common multiple of k(-9) and 74.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(700) + sqrt(700)*-1 + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -295 = 4*f - 327. Solve 4*o - f = -0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 518?\nAnswer: -519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/q**27)\/(q\/q**(-1\/11)))**(7\/4))**(2\/7))**(-4\/15) assuming q is positive.\nAnswer: q**(596\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 5*t + 79 = 0, 4*t = p - 0*t - 4. Suppose -p = -3*c - c. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 443 = -5*j, -3*j + 90 = 4*i - 170. Suppose 7*m - 3*m = l - 25, -4*l + j = -4*m. Is 3 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -75 - 10 + 164 + 83 - 262*r + 203 wrt r?\nAnswer: -262","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2c90 + -9?\nAnswer: -2c99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a - a + 5*p + 10, -2*a + 20 = -2*p. Suppose -28*f - a = -30*f. Solve 7*h - 2*h = 5*y + f, y = -4*h + 14 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -n**8\/13440 - n**7\/1680 - n**6\/576 - n**5\/480 - 10*n**3\/3 + 64*n. Let f(g) be the second derivative of a(g). Factor f(v).\nAnswer: -v*(v + 1)**2*(v + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67087783771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f - 3 + 18 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 999306 is divided by 14680?\nAnswer: 1066","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -17 - (-24 + 45 + -17)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -84, -172, -260, -348, -436?\n\"Answer: -88*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**3 + t**2 + 4*t - 2. Let x(o) = -20*o**3 + 289*o**2 - 2415*o - 22. Let l(b) = -11*k(b) + x(b). Find the second derivative of l(f) wrt f.\nAnswer: 12*f + 556","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000081297 to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 v when two letters picked without replacement from evuucwhhvvhuuvcvvchu?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -156433.168\nAnswer: 156429.168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172698 is divided by 3455?\nAnswer: 3403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 86*s + 2 - 174. Let z(x) be the third derivative of 0*x + 0 + 9*x**s + 1\/30*x**5 + 1\/12*x**4 + 0*x**3. Factor z(o).\nAnswer: 2*o*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 18 + 0?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(224)\/(sqrt(40)\/sqrt(5)))\/(-3*sqrt(64)).\nAnswer: -sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -105 - -106. What is the closest to 1 in z, 6.1, 2\/9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b - 5. Is u(-15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 5*b - 3*v + 62, 124 = 4*b - 4*v. Let r = -215\/7 + b. Let p = 13 - 13. Which is smaller: r or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 + 16. Let u be (8\/m)\/(3\/(-30)). Let s = 0 + u. Is s a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -16, -1\/4, -0.1.\nAnswer: -16, -4, -1\/4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of b**2*w - b*o**3*w - 69*b*o*w + 4*o**3*w + 2*o**3 + 15 wrt b?\nAnswer: 2*b*w - o**3*w - 69*o*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 2*a + 10553, -2*a = 181*w - 184*w + 6319. What are the prime factors of w?\nAnswer: 3, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((128\/960)\/(6\/(-9)))\/(54\/60)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 - -45. What is the lowest common multiple of r and 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 36*i + 90. Determine f(33).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 5:53 PM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128776963 is divided by 547987?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 5*v**2 + 2*v + 15. What is d(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 4264278?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/10 + 57*u\/10 + 106\/5.\nAnswer: (u + 4)*(u + 53)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -126793350.89999986 + 126793353. Let u = i + -2.1. What is u rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 8, -3, 4, -1 in increasing order.\nAnswer: -3, -1, 4, 8, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xwx when three letters picked without replacement from xxxxxxxwxxwwwxwxxxx?\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 3*b + 94. Let o = 70 + -76. Let x be o*2*4\/(-1). Which is greater: b or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2512801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -15*a - 129. Determine w(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q + 170 + 1011 = 173. What is the remainder when q is divided by 71?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 129, 127, 125, 123, 121?\n\"Answer: -2*b + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 81041990 rounded to the nearest one hundred thousand?\nAnswer: 81000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 83277780?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -a + 2*l, -5*l - 6639 + 6644 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-100)\/(-180))\/((-2)\/(-18)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.03, 88, -3, 1 in ascending order.\nAnswer: -3, -0.2, 0.03, 1, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, l: 12, o: 1}. Give prob of picking 2 l.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -18 + -65?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 15, -37138 in increasing order.\nAnswer: -37138, -4, 0, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*t + 26*t + 11 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34 and 14828692?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q + 3. Let x = -1 + -4. Let n = -5 - x. What is the units digit of d(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18 and 599.\nAnswer: 10782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1209 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 340 = -0*t - 2*t, 5*t + 5*s - 810 = 0. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8332766 (base 9) to base 2\nAnswer: 10000111110100010001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/3, 2, -133, -0.9, 0.3, 4\/23?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 890 = -2*j. List the prime factors of j.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 65397 * -0.02.\nAnswer: -1307.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 65*s**4 - 270*s**3 - 155*s**2 + 1200*s - 180 = 0.\nAnswer: -2, 2\/13, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 10. Suppose -2*z - z + y + 190 = j, -4*z - 4*y = -280. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 3:04 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, b: 3, q: 3, z: 3, l: 3, f: 2}. Give prob of picking 1 f, 2 b, and 1 q.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*c + 12. Let u(t) = -t**3 - t**2 + t + 2. Let h be u(c). Suppose h*m = 5*z - 200, 5*z = -3*m + m + 170. Is z a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in 686\/19, -15\/14, -0.4?\nAnswer: -15\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -1 (c) -0.2 (d) -0.075 (e) -2\/21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1230464.\nAnswer: 2, 9613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -119*y**6\/15 + 52*y**4\/3 - 146*y - 2. What is the third derivative of w(g) wrt g?\nAnswer: -5712*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (8 - 7) + -4 + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 130434779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1679*q**2 + 57*q**3 - 587*q - 56*q**3 + 294*q + 291*q.\nAnswer: q**3 + 1679*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c - 36?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -555, -476, -345, -168, 49?\nAnswer: 300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r**3 + 94 + 92 + 6*r**2 - 188 + r**4 in the form p*r**4 + v*r**2 + d + u*r + n*r**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 10:26 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sdu when three letters picked without replacement from {d: 2, u: 1, s: 2, n: 2, v: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 3, 32, 2 in decreasing order.\nAnswer: 32, 3, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.6 - 1.4. Let h = 0.19 - -0.01. Which is the nearest to m? (a) 0.4 (b) h (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1088*y + 10*y**5 - 15*y**2 - 8*y**2 + 13*y**2 - 563*y + 26*y**5 wrt y.\nAnswer: 720*y**3 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 506 - 62*r - 506. Let b(s) = -4*s**2. Determine b(c(u)).\nAnswer: -15376*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**2 - 3*f**2 - f**2 + f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/3 - 0) + (-6)\/(-18). Which is the nearest to k? (a) -5 (b) -6 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6345795839 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v + 35. Let m be t(15). Let i(k) = 17*k - 2. Let d be i(2). Calculate the highest common divisor of d and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 1.5. Let j = -67 + 133. Let b = 728\/11 - j. What is the smallest value in -0.1, l, b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 + 0*p**2 - 3*p + 3*p.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00010467 to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3142019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -11*i - 31. Let l be f(-3). Let o(g) = 8*g**l - 281*g + 281*g. Let p(a) = -17*a**2. Give o(p(b)).\nAnswer: 2312*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36*15\/720)\/(45\/(-2940)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 h when three letters picked without replacement from {h: 9, x: 2}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) -4 (c) 96 (d) 10 (e) -22.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 535458032?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 5232?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**2 - 23*p + 12. Let l be u(12). List the prime factors of (-776)\/l*-3*1.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2722 bigger than -2706?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 29*q**3 + 4*q**2 - 3*q. Let d be n(1). Suppose k + 12 = 2*g, -5*k = 4*g - 9 - 1. Solve -w - d = g*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -684, -5989, -20604, -49185, -96388, -166869, -265284, -396289?\nAnswer: -564540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-595 - -592) + (0 - (1 - 15)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 times 0.0150686?\nAnswer: 0.000904116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from neyeeibcenebbey. Give prob of picking 1 n, 1 y, and 1 c.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f - 6. Let h be 12\/4 - (1 + -2). Suppose h*r - 16 = 4. Suppose 4*w + 3*j + 43 = 0, 7*j - r*j - 25 = 5*w. Determine p(w).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 90272*q**4 - 104*q**2 + 457?\nAnswer: 2166528*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 6*l + 25 = 0, 4*o = -l - 3. What are the prime factors of 36 + 2 + 0 + o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 15619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, h: 2}. Give prob of sequence hii.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**6\/n)**(-22)\/((n**(2\/3)\/n)\/(n\/n**(6\/11))) assuming n is positive.\nAnswer: n**(-3604\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**2*u))**(2\/5)*(u\/u**(-15))**20 assuming u is positive.\nAnswer: u**(1594\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(54\/15 - 3). Let h be ((-2)\/5)\/((-1)\/g). Suppose x + 10 = 2*b - b, 5*b - 78 = -h*x. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 121234133344 - 1?\nAnswer: 121234133343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -306 = 3*j + 78. What is j rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -8*x + 4. Let g be u(-4). Let v be (-15)\/(-21) - 4\/(-14). Does 12 divide 2\/(v - 2) + g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 5. Suppose -2*c + b = 11. Let k be (-21)\/c - 1\/4. Solve 27 = k*f + 2 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.162, 4, -1458, -0.05, 1\/5.\nAnswer: -1458, -0.162, -0.05, 1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 352 (base 6) in base 4?\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 12, 4*u - 3*k + 4*k - 27 = 0. Find the first derivative of -31 + 2*a**2 + a**2 + u*a + 0*a - 2*a**2 wrt a.\nAnswer: 2*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*h - 2*h + 3*h)*(-4 + 5 + 0) - 4 + 2 + 2*h - h)*(-3*h**3 + 3*h**3 + h**3).\nAnswer: 2*h**4 - 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 3) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/2 + (-25)\/(-10). Solve 0 = -4*u - w + i - 7, -15 = -3*u + 5*w for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-4))\/(1420\/(-240) - -6). Solve 22*v - p - 35 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51 + -56. Let p(u) be the second derivative of -u**4\/12 - u**3\/2 + 5*u**2\/2 + u. Give p(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2*w**2 - 266*w + 5012436 = 0?\nAnswer: -1651, 1518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.5472667 litres?\nAnswer: 547.2667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 34\/1*1011\/15*(-480)\/(-192). Is z smaller than 5730?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 23 = 3*r - 29, 24 = -2*i - 2*r. Let x(j) = -j**3 - 6*j**2 + 7*j - 6. Determine x(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose p**5\/5 - 626*p**4\/5 + 18000*p**3 + 510130*p**2 - 450125*p - 12675000 = 0. Calculate p.\nAnswer: -24, -5, 5, 325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -540 divided by 18.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -34196 divided by -4?\nAnswer: 8549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 16*i - 31. Determine b(9).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.89 and 2.\nAnswer: -1.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 86734927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a litre in millilitres?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1022 and 5460?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 164, 146, 126, 104, 80, 54?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -25 - 1dbe?\nAnswer: -1de3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3789*y**3 - 3787*y**3 + 7580*y**3.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -165 - -92. Let o = -9 + q. Let f = o - -100. Calculate the highest common factor of f and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1\/h)**7\/(h\/h**9*h*h\/h**(1\/4))*(h*h**5*h\/(h*h*h\/(h*h\/(h*(h*h\/((h*h**(-6)*h)\/h)*h*h)\/h))))\/(h**4*h\/(h**(-9)*h*h)) assuming h is positive.\nAnswer: h**(-35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -6*j. Let s be (-1)\/4 + 4\/16. Suppose j + s*b**2 + 1\/4*b - 1\/4*b**3 = 0. Calculate b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w**3\/8 - 33787*w**2 + 2609244515*w\/8 + 372760249\/4 = 0. What is w?\nAnswer: -2\/7, 19307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + (-2)\/((-8)\/92). Is 5794\/26 - (-4)\/d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*b + 46*b + 135 = 0. Let f(h) = h - 16. Calculate f(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/(-104))\/(-3 + 1). Solve 3*c + 5*x + 25 = p, -3*c + 3*x = -6*c - 15 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 231439, 229101, 226763, 224425, 222087, 219749?\nAnswer: 217411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -440551 (base 6) to base 14.\nAnswer: -d431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2108664 divided by 2\nAnswer: -1054332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express s + 0*s**3 + 2 + 3*s**3 - 2 in the form r*s + m + x*s**2 + u*s**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-2 - -3)) + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 + -1. Suppose 0*j - q = -2*j. Let s(z) = z + j - 6*z + z + 4*z**2. Let w(t) = -2*t**2 + 2*t - 5. Determine 3*s(a) + 7*w(a).\nAnswer: -2*a**2 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of -2*a**3 + a. Let v be (-13)\/(-7) + (-22)\/(1386\/(-9)). Let h(w) = -45*w**2 + 43*w**v + 50*w - 50*w. What is h(g(c))?\nAnswer: -288*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 11) in base 15?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1561?\nAnswer: 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/101 in -11, -5, -0.3, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 8*q. Solve l = 3*x - 4, q*x = 4*x - l - 7 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1369820583 to the nearest integer?\nAnswer: 37011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 5*q = 161, 0*q = 5*q + 25. Let u(w) = 307*w - 1780. Let b be u(6). Is b at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -416*o - 1247. Calculate d(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 15, 993?\nAnswer: 993","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**3 - 13*p**3 - p**2 - p**2.\nAnswer: -15*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.9 + -3. Suppose 3*h - p = 3*p - 8, 15 = -3*h - 3*p. Let v = 31 - 34. What is the third biggest value in t, h, v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 5.7. Let k = 0.1 + q. Let u = -1.5 - -1.5. Which is the third smallest value? (a) u (b) k (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of 2*f**3 - 36*f - 11\/6*f**4 + 0*f**2 + 0. Find the second derivative of l(m) wrt m.\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = l + 4, -3*v + 6 = l - 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by 34.\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19.7 - -20. Put -5, y, -6, -0.1 in decreasing order.\nAnswer: y, -0.1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234*x + 577*x - 23192 = -81*x for x.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g**2 - 2*g**2 + 2*g**2 + 8 + g**2 - 5*g. Is 19 a factor of f(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 695009142 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: Expand -q**2 - 4*q**2 + 4*q**2 + (-6 + 4 + 3)*(0*q + 0*q + q**2) - 2*q**2 + 2*q**2 + 2*q**2 - 3303*q - 320*q**2 + 1403*q**2 + 3303*q.\nAnswer: 1085*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - -25)\/(6\/(-12)). Let b = 38 + u. Let h be 2\/b + (-300)\/(-72). Solve 4*v - h*m = -v + 31, -5 = v + 2*m for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-3)*(-86)\/(-215)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, f: 2, p: 4, u: 3}. What is prob of sequence pufq?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2197358 to the power of 1\/2, to the nearest integer?\nAnswer: 1482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -10*p**3\/3 + p**2\/2 + 4*p - 3. Let x(t) be the first derivative of z(t). What is the units digit of x(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i + 136. List the prime factors of w(-21).\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 126*g**4 - 4022*g**3 + 13176*g**2 + 18248*g + 3360 = 0.\nAnswer: -6\/7, -2\/9, 5, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of 5*d**2\/2 - 6. Let g(o) = -25*o + 17. Let c(i) = 3*i - 2. Let f(t) = -51*c(t) - 6*g(t). Calculate f(v(b)).\nAnswer: -15*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 203\/313 in decreasing order.\nAnswer: 4, 2, 203\/313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 71\/190, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000306748 rounded to 7 dps?\nAnswer: -0.0003067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2*d - 13, -4*d = -6*d - 10. Suppose m*w = 2*w + 12. Calculate the remainder when w is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -71?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*i + 118*i = 28 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2084, 2078, 2068, 2054?\nAnswer: 2036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7696*n**2*p*w - 8*n**2*w + 2*n**2 + 4*n*w + 2*n - 41430*p*w - 203*w - 29 with respect to p.\nAnswer: -7696*n**2*w - 41430*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -357 (base 10) in base 2?\nAnswer: -101100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 303, 606, 909?\nAnswer: 1212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2*11.4\nAnswer: -22.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*n - 4*h = -25*n - 16, 4*h = -3*n + 26. What is the least common multiple of 14 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.04 + -0.04. Let t = -2.9 + m. Let s = -745\/2583 + 1\/369. Which is the closest to s? (a) 4 (b) t (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1613*c = -1603*c - 80 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in thirty-two fifths of a millennium?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -10, -6, 1 in descending order.\nAnswer: 11, 1, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9011 - 9110 - (-1 + -207)?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 7*r - 2. Let z(p) = -p**2 + 1. Let b(a) = -4*a**2 - 36*a - 152. Let d(x) = -b(x) + 5*z(x). Let m be d(-4). What is v(m)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15*u**2 + 149*u**4 - 22*u**2 + 7*u**2 - 18*u**4 - 48 wrt u?\nAnswer: 524*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 2*a**2 - a - 1. Let z(d) = -2*d**3 + 6*d**2 - 18*d + 3. Give 4*v(t) + z(t).\nAnswer: 2*t**3 - 2*t**2 - 22*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2328*o**4 + 7293*o**3 + 12*o**2 + 3*o - 12506 wrt o.\nAnswer: 55872*o + 43758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99046878?\nAnswer: 2, 3, 7, 23, 102533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15553*h**6 + 377*h**2 + 3*h + 4.\nAnswer: 1866360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 31?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -0.4 (c) 5.6 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.107 - -131.893. Let r = s - 76. Let f = 46 - r. Which is the second smallest value? (a) 0 (b) f (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, -0.0415, -0.3, 102?\nAnswer: -0.0415","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18 - 100 - 29)*(2*r**3 + 3*r**3 - r - 2*r**3) as g*r**2 + y*r**3 + b*r + p and give b.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -5, -1\/15, 2, 0.04?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(2\/17))\/h)\/(h\/((h\/(h**10*h))\/h))*(h*h*(h\/h**(-1))\/h*h)\/h**(-6) assuming h is positive.\nAnswer: h**(-36\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - s = -52. Let i = s + 24. Is i a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a9304b (base 13) to base 3.\nAnswer: 121120021001102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -272 = -7*t - 265. What is the biggest value in t, -0.2, -33?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75716*u**3 - 151456*u**3 + 75741*u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (75 - 91) + -1 + (-8 + 3 - -15).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 39*d - 17 + 13*d**2 + d - 28*d + 9*d**3. Let r(i) = -8 + 10989*i - i**2 - 10983*i + 4*i**3 + 7*i**2. Determine -6*o(v) + 13*r(v).\nAnswer: -2*v**3 + 6*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 5. Suppose -10 - 5 = -w*y. Suppose 1 = -i - 2*d, 0 = -5*i + 2*d + 1 + 6. Solve t + o = -5, y*t + 9 + i = 2*o for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128467805 divided by -5.\nAnswer: -25693561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, d: 3, u: 1, k: 1, r: 1, m: 4}. What is prob of picking 1 r, 1 m, and 1 k?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -159 - -164. Sort -1, b, 3, 6 in ascending order.\nAnswer: -1, 3, b, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1862654 is divided by 95.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47429 and 626123?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.59 + 0.01. Let a = s + -0.9. Let w = -8444 - -8449. Which is bigger: w or a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3.3 and 3.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-195)\/63)\/(-5) + 40\/60. Is 105 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 891 times 0.49?\nAnswer: 436.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.08 + -1.42. Let m(h) = -571*h - 1142. Let g be m(-2). What is the second biggest value in g, d, 5\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.656533652 rounded to four dps?\nAnswer: -2.6565","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 71235, 142491, 213747, 285003, 356259, 427515?\n\"Answer: 71256*z - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 31059.59725 to the nearest 100.\nAnswer: 31100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*a - 8*a = 475 - 1398 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 336. Let j(r) = 61. Let n(a) = -11*j(a) + 2*w(a). Let o(c) = 2*c - 2. What is n(l) + o(l)?\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 604 = -z, -t + 12*z - 299 = 13*z. Let r = t - -1478. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 31 - (124 + -139).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 3*d**3\/4 + 21*d**2\/8 - 9*d\/2 + 1844. Determine i so that s(i) = 0.\nAnswer: -3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -3, -79, -4 in decreasing order.\nAnswer: 4, 0, -3, -4, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4224*b - 75402 = -4242*b. List the prime factors of b.\nAnswer: 59, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 8, 3*p - 5*f - 3526 = -6*f. Suppose p*z - 28 = 1172*z. Solve 10*m + 36 = -z for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -2 - (-11 - (-15 + -1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*x = 72*x + 12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 847*o + 287976. Calculate v(-340).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i - i + i + (-3 + 3 + 2)*(0*i + 0*i - 2*i) + 204*i + 136*i + 177*i + 263*i + (4 - 5 + 2)*(-3*i + 0*i + i).\nAnswer: 772*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*g + 0*g + 4*g + (-2*g - 2 + 2)*(0 - 2 + 1) - 5*g - 26*g + 8*g.\nAnswer: -22*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/959 and 41\/959?\nAnswer: 959","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 9*u = -5*i + 6400, 0 = -5*i - 3*u + 6408. Is i a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1319828421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05483303 rounded to four decimal places?\nAnswer: 0.0548","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 y when four letters picked without replacement from {z: 1, f: 1, y: 14}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 165336\nAnswer: -1\/165336","meta":{"dup_signals":{},"source":"arithmetic__div_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: Let l(g) = 5*g**2 + 2*g + 1. Give l(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7817 + -4662. Suppose x = -210*w + 215*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 436153381?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 144 - 187. Let q = -42.6 - o. Which is the fourth smallest value? (a) -3 (b) q (c) 3\/4 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 - 0.17. Let l = -452 - -456.87. Let z = l + f. Which is the closest to -2\/7? (a) -4 (b) -1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 235 = 4*j. Suppose -3*h = 3*w - 34 + 7, j = 5*w + 3*h. Does 10 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5319*g + 7441 + 6649 + 1779 = -5407 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1553.719 micrograms to nanograms.\nAnswer: 1553719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3506*n - 3510*n - 2*k - 20 = 0, 5*n + 5*k + 30 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-210)\/(-2) - (-17 + 19). Let q = i + 128. What is the greatest common factor of 21 and q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5761330 is divided by 443176.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2448600 and 22853600.\nAnswer: 68560800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**2\/h)\/h*h**(-3))\/(h\/(h*h*h**(-5))*h*h**(4\/5)))\/((h**(-1\/4)*h)**(-1\/42))**(13\/4) assuming h is positive.\nAnswer: h**(-9791\/1120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 457674 and 42381?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnuixikn. Give prob of sequence iknn.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -4*k + 103. Let d(r) = -r + 34. Let j(g) = -g**2 - 3*g - 2. Let p be j(-3). Let q(v) = p*z(v) + 7*d(v). List the prime factors of q(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -9*k**2 + 10*k + 6. Let v(s) = 17*s**2 - 20*s - 11. Give -11*l(z) - 6*v(z).\nAnswer: -3*z**2 + 10*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 503877 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.352 + -0.39. Let y = 0.062 - h. What is the nearest to -5 in 1\/3, -4, y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7519817927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17957?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 65*k**3\/7 + 849*k**2\/7 + 832*k\/7 + 48\/7.\nAnswer: (k + 1)*(k + 12)*(65*k + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 12:43 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.9, -1, 0.3, -5\/6, -18 in ascending order.\nAnswer: -18, -1, -5\/6, 0.3, 1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y. Let d(w) = -33850*w**2. What is d(k(z))?\nAnswer: -33850*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26943084 divided by -908.\nAnswer: -29673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -2 - (4 + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.194411 kilometers to millimeters.\nAnswer: 6194411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 2\/7 (c) 8 (d) 2 (e) -1\/58 (f) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + g + 1199, 4*b - 2*g - g = 2395. List the prime factors of b.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 42922083.28 to the nearest ten thousand.\nAnswer: 42920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -1. Suppose -14*b - 54 = -54. Factor 0*l + 2\/3*l**z - 4\/3*l**2 + b + 2\/3*l**4.\nAnswer: 2*l**2*(l - 1)*(l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 divided by 29\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = l - 6*l + 4*v, -4 = 2*l + 2*v. Let u = 4 + -7. What is the units digit of -12*(u - 15\/l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1012001010 (base 3) to base 12.\nAnswer: 11626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -412 - -246. Let v = 165.999921 + l. What is v rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-62)\/31)\/(((-56)\/(-12))\/1).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5195347?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39229 by -41.\nAnswer: -39229\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i\/i**(-2\/21)*i\/(i*i**(-1)))**(-4)\/((i**7*i*i*i)\/i**(-1\/6)*(i*i**(-1\/3)\/i)**(-40)) assuming i is positive.\nAnswer: i**(-1675\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of s**6 - 3199*s**5 - 2*s**4 + 36107*s**2 wrt s?\nAnswer: 120*s**3 - 191940*s**2 - 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.13, 13.6, -4, 1.\nAnswer: -4, 0.13, 1, 4, 13.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (1 + 4 - 9) - -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4321*q - 12647 + 142534 + 1161 + 136854 = 0 for q.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -4*r + v - 22, 5*r + 3*v = -26. Let n = r + 11. Suppose -n*b = -7 - 17. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 plus 2047377?\nAnswer: 2047376.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-2))\/(2\/(-7)). Let z be 2\/(-2) - k\/7. Let w = z + 1\/3. Put -4, w, 0.1 in decreasing order.\nAnswer: w, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -62565, -125113, -187653, -250179, -312685, -375165?\n\"Answer: n**3 - 2*n**2 - 62549*n - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**5 - 124*p**4\/3 + 152*p**3\/3 + 700*p**2\/3 + 418*p\/3 = 0. What is p?\nAnswer: -1, 0, 11\/3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -12. Let z = 14 - s. 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 702 minutes after 6:25 AM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4 - 64*q**3 + 122*q**2 - 60*q.\nAnswer: 2*q*(q - 30)*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -450*a + 453*a + 2, -2*a = 4*l - 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w - 32. Let r(t) = -2*t + 31. Give -4*c(u) - 3*r(u).\nAnswer: 2*u + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**3 + 6*t**2 - 6*t - 10. Let s(j) = -2*j**3 + 5*j**2 - 5*j - 9. Let r = -33 + 28. What is r*a(g) + 6*s(g)?\nAnswer: -2*g**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -5 (b) -4\/7 (c) 0.5 (d) -54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1789738295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 29099124 = 5*u, 3*g + 3*u + 1122852 + 20701488 = 0. Let v = g - -1492156. Let b = 14282620 + v. Round b to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -1 + 3\/2*w**2 + 1\/3*w**3 + 3*w. Let y be o(-3). Solve -3 - 3 = y*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2011 (base 3) to base 13.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/(-42) + 556\/(-14). Calculate the remainder when 27 is divided by (n\/(-14))\/(10\/35).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/3*(-936)\/4056)\/(-6)?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**2\/2 - 77271*v\/2 - 888352 = 0.\nAnswer: -77248, -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2*w - 9, 7*w - 4*w + 2*p = 11. Suppose 0 = w*q - 8*q - 3*c + 1669985, -5*q = c - 1669995. Round q to the nearest ten thousand.\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 874 - 878. Put -2, 3, i in decreasing order.\nAnswer: 3, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 4*n**2 + 4*n + 3. Let k = 13 - 9. Let l be k*1*2\/(-4). What is o(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 247*q**2 + 3055*q - 675. Give r(234).\nAnswer: 2367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*g - 3*v - 19 = -34*g, -3*g - 31 = 5*v for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 36\/40*25\/(-15). Put 0.1, j, 0 in descending order.\nAnswer: 0.1, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by -16?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 91*y**2 + 11*y - 181. What is g(0)?\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 52712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 1725556944.\nAnswer: 5176670832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/214*(24\/(-16) + 1)*-1. Which is smaller: -3\/8 or g?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/468 and -77\/12363.\nAnswer: 148356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3 = 3*z, -7*y + 4*y - 4*z + 6 = 0. Suppose -3*g = -3*x, -x + y*x - 2*g - 12 = 0. Solve -m + 1 = 3*o + 18, x*m = -4*o - 28 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 11. Let q = m + -8. Let v(t) = -2*t - 1. Let u be v(0). What is the nearest to q in u, -1\/5, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.11 * 0.1\nAnswer: 0.011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26.01 - 25.01. What is the closest to -3 in p, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -147, -493, -1165, -2271, -3919, -6217?\nAnswer: -9273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0587 at least -1267.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 3*l**2 + l - 10. Let t be a(0). Let f = 20 - t. List the prime factors of f.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7329566 is divided by 1221593.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4\/6 + 72136802*s**3\/3 + 867286319039998*s**2 - 10407436694121616*s\/3 + 10407436982668832\/3.\nAnswer: (s - 2)**2*(s + 72136804)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 18, -15*a + 2*g - 102219 = -18*a. Is a a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -501*j**4 + 47*j**4 - 714 + 45 with respect to j.\nAnswer: -1816*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of 0 - 1\/20*q**5 + 3\/4*q**4 - 9\/2*q**3 + 8*q**2 + 0*q. Let v(f) = 0. What is f?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6302597069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*u - 9946 = 346*u + 52*u + 4612 for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33\/4 + -227\/28. Let l = f + 4\/21. What is the nearest to 1\/4 in -0.5, l, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 35 = 4*k, 10*k + 15 = 2*m + 9*k. Solve -x - 19 = -m*l, 2*x - 14 = -5*l + 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*t - 26 - 6 = -6*l, -16*t - 7 = -36*t + 17*t - 2*l for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1360c (base 13) in base 8?\nAnswer: 106522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 2*v - 4. What are the prime factors of v?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 189197 (base 11) in base 5?\nAnswer: 33243020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l**2 + 18*l - 16. Let m(n) = 5*n**2 + 31*n - 30. Determine -7*a(o) + 4*m(o).\nAnswer: -o**2 - 2*o - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -4 - (-1 - -1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 27*k**2 + 12*k - 24. Let f be p(2). What is the greatest common factor of 594 and f?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h**2 - 3*h - 7. Let c(n) = -n**2 + 4*n + 9. Let b be c(5). Is 5 a factor of w(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 137 - -2 - -1*2. Suppose 3647*j = 3583*j + 9216. Which is smaller: x or j?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 52*d + 1. Let g be o(3). Let t = g - 112. What are the prime factors of t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8278.\nAnswer: 2, 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 0. Let g = -1 - -2. Let b = -3 + g. Sort 1, m, b.\nAnswer: b, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 421 + -416. Solve a = 5*k - 5 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151889123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (102\/(-3)*(-492)\/656*(-2)\/(-9))\/(-1)?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -18 + -4 + 3 - -13.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 37194.18 less than 0.2?\nAnswer: -37193.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -550551*k + 275302*k + 275293*k.\nAnswer: 44*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 523287, 523285, 523283, 523281, 523279?\n\"Answer: -2*d + 523289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30063136 = 4*y + 5*h - 15776859, -y + h + 11460001 = 0. Round y to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*l*u**3*v**2 - 368*l*u**3*v - 2*l*u**3 + 3*l*u*v - 1743108*u*v**3 + 3794 wrt v?\nAnswer: 8*l*u**3 - 10458648*u*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9754 is divided by 1077?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n. Let g(o) = -65*o**2 - o - 19. Calculate g(u(l)).\nAnswer: -65*l**2 + l - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 3. Let h = 4006 - 4001. Solve 0 = -h*f - 6 - x for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1883, 191.5, 12, 0.4, 1 in decreasing order.\nAnswer: 1883, 191.5, 12, 1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 44*q - 49. Let y(w) = -23*w + 28. Let o(d) = 4*u(d) + 7*y(d). Let s(g) = -4*g - 5. Let r(a) = -2*a - 3. Let x(z) = 5*r(z) - 3*s(z). What is o(x(m))?\nAnswer: 30*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.137 - 141.137. Let b = h - -95. Let q = b - -48. Sort q, 1\/4, -1\/2, 0.5 in increasing order.\nAnswer: -1\/2, 1\/4, 0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -r + 66. Calculate the highest common divisor of r and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/373, -1, -6, -0.024?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -13*a + 23*a**2 + 3*a + 9 - 24*a**2. Suppose -3*f = -0*f + 21. List the prime factors of l(f).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 55d?\nAnswer: 55a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263849 is divided by 249284?\nAnswer: 14565","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j - 3801 = 9543. Suppose f - j = -2*w, 11*f = 10*f. List the prime factors of w.\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -1. Let d = -3 + k. Let g be 0 - -1*d\/(-1). Solve g*q = v - 5*v + 6, q - v = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -147 + 237. Let b be ((-8)\/(-3))\/(((-16)\/o)\/(-4)). Calculate the greatest common divisor of b and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -357, -429, -503, -579, -657, -737?\n\"Answer: -u**2 - 69*u - 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -338*a**3 + 4*a + 2. Let j(t) = -339*t**3 + t**2 + 5*t + 3. Calculate 2*j(i) - 3*n(i).\nAnswer: 336*i**3 + 2*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 0, 3*j - 9 - 3 = x. Let z be (((-10)\/(-4))\/(-1))\/(66\/(-132)). Solve -z = 5*a + 5*y, y - 2 = -j*a - 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkklkkekklekk. Give prob of picking 2 k and 2 e.\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*m + 4 = 32*m - z, -2*z + 12 = -m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*t + 7150 + 6*t + 2*t**3 + 0*t**3 + 243*t**2 - 27*t with respect to t.\nAnswer: 6*t**2 + 486*t - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137064263 a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.25279517 to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*((9\/(-2))\/3)\/(((-5513)\/(-222))\/149).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9\/12 - (-27)\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k**2 - 344*k - 29465 = 0. What is k?\nAnswer: -71, 415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 2*w - 3*w)*(w**3 + 0 + 0) - 31*w + 31*w - 5*w**4.\nAnswer: -8*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1138, -0.4 in decreasing order.\nAnswer: 0.2, -0.4, -1138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of y**5\/20 - y**4\/4 - 2*y**3\/3 + 2*y**2 + 8*y. Give o(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7.598764ml?\nAnswer: 0.007598764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5801106 is divided by 90642.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 126, -4 in descending order.\nAnswer: 126, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 3*d**2 - 3*d + 2. Let a be n(4). Let o(i) = 5*i**2 + 5. Let h be o(a). Suppose -l = 4*l - h. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.8 + -5. Let g = s + -0.1. Suppose 10 = -j + 6*j. Which is the closest to 2\/5? (a) g (b) j (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jv when two letters picked without replacement from vjjjjvjgwgvjgvv?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 7*n**2 - 6*n + 2. Let g be (-2)\/(-8) - 150\/24. Suppose -7*x = -2*x - 5. Calculate the lowest common multiple of x and m(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of k**4\/8 - 4*k**3 + 3*k**2 - 21. Calculate s(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*9\/(810\/(-12))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*p - 4*a, -5*p + 5*a - 1 = -6. Let q(b) = -b**3 - 3*b**2 - 3*b + 1. Let w(o) = -o**3 - 2*o**2 - 2*o. Let u(k) = 4*q(k) - 5*w(k). Determine u(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -34*p - 752. Give h(-29).\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 3:43 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/4 - 71*k**2\/4 - 35*k\/2.\nAnswer: -k*(k + 1)*(k + 70)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -4*o - 4*f + 21, -4*f = -4*o + 4. Suppose 5*y - o*x = 4900, -4*x = -2*y + 5*y - 2926. List the prime factors of y\/18*2\/4*6.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.139 - -667.\nAnswer: 667.139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 136038879 a multiple of 3249?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 232045 (base 6) in base 14?\nAnswer: 7377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 4*j - 67, -15*j + 12*j = 2*n - 44. Put 0, 5, n, 9 in ascending order.\nAnswer: 0, 5, 9, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + -48 + (-27 - -31).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1109, 1115, 1133, 1169, 1229, 1319?\n\"Answer: x**3 - x + 1109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 5*s**2 + 5*s - 2. Let l(c) = 27*c**3 + c**2 + 3*c + 1. Let m be l(-1). Let r = 22 + m. Let d be k(r). Solve 0 = q - d*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m*m**14*m)\/m)\/((m\/m**(1\/3))\/m))\/(m**(1\/7))**(-5\/4) assuming m is positive.\nAnswer: m**(1387\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, x: 2}. Give prob of sequence xx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 159845?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c - -187c?\nAnswer: 1860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of b**6\/60 - 2*b**5\/5 - 17*b**4\/24 - 5*b**3\/6 + 16*b**2. Is p(13) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.09? (a) -0.04 (b) -109 (c) -22\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 - 4134\/(-208))*-8?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 742 and 878.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2188625749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1162425 and 584735.\nAnswer: 96481275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/8 - 210\/24. What is the units digit of 8\/6*x\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(5) - (3*sqrt(5) - sqrt(5))))\/(sqrt(132)\/sqrt(11))*5.\nAnswer: -5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45901184, 45901186, 45901188?\nAnswer: 45901190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of -s**4\/24 + 7*s**2. Let w = 13 - 18. Calculate y(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -2. Let u be 1 - (w + 0\/(-4)). Solve 6*o = x + u*o + 10, 4*o = -x + 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -541 (base 7) in base 4?\nAnswer: -10102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**3\/13 + 148*y**2\/13 + 922*y\/13 - 1072\/13 = 0. What is y?\nAnswer: -67, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l + 8. Let a be 2 + (-5 - -2)*1. Let k be 6*(a\/5)\/((-6)\/(-10)). Let s be 3\/(31\/(-14) - k). Give o(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5661 is divided by 65?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 25. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 - (0 + 1677\/(-2)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1442 - 1646 = 8*k. Let w = -267 - k. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -1357*a**3 - 7*a**2 - a - 16. Let s be i(-3). Let g = -17224 + s. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) 1 (c) 2 (d) 16 (e) -6\/7 (f) -5 (g) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2\/3, -90.\nAnswer: -90, -2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -46388004169?\nAnswer: -46388004169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-8\/15)\/l**(16\/9))\/(l**(-2\/17)*l*l*l**(-42)) assuming l is positive.\nAnswer: l**(28922\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1960, 1958, 1954, 1948, 1940?\nAnswer: 1930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 51352 and 1.046?\nAnswer: 53714.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3 - 18 + 5 + 10 + 2*q. Let r(c) = -260*c**2. Determine h(r(u)).\nAnswer: -520*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of 0 + 0*u - 8\/9*u**3 - 1\/180*u**5 - 17\/72*u**4 - 67*u**2. Let s(p) = 0. What is p?\nAnswer: -16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*x**3 - 99117*x**2 - 925112*x?\nAnswer: -12*x - 198234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4612 = 2*v, 2322 = p - v - 4*v. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j + 24216 = -1644. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.1 * 2.\nAnswer: 14.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -1. Let y(j) = 3*j + 4 - 5*j - k*j**2 + j**3 + j - 4*j. Give y(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/2)\/(5 - 33\/6)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43 + -41. Find the third derivative of -6*h**3 + 0*h**l + h**3 + 14*h**2 wrt h.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 4 - (-1 - (-8 + 5))) + -5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 251279556 a multiple of 3815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7512 divided by -3?\nAnswer: -2504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(196)*-2)\/sqrt(2)*-4 + sqrt(224)\/sqrt(7) + 3 + -2.\nAnswer: 1 + 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 11*a - 85. Let p be z(8). Suppose -p*s = -403 + 397. Solve 24 = -s*h + 14*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence usc when three letters picked without replacement from urssrscsuss?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 9*c + 2. Let y be t(9). Suppose -13 = -y*o - 3. What are the prime factors of o*(-1 + (0 - -2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(1573) + 4 + sqrt(1573) + sqrt(1573)) - (sqrt(1573)*-1 + sqrt(1573) + 3))*-4.\nAnswer: 108 + 792*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 3*d**2 - d + 14. Let o(j) = 7*j + 6. Calculate the remainder when u(4) is divided by o(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 9.2969?\nAnswer: -0.92969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1312? (a) -1\/4 (b) 1\/6 (c) -0.5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 884 + -880. Put -4, -5\/4, 1\/4, j in decreasing order.\nAnswer: j, 1\/4, -5\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76596 divided by -18322\nAnswer: -38298\/9161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of b**4\/12 + b**2. Let v = 4 - 0. Let z(c) = -2*c - 5*c + 0*c + v*c. Determine z(l(p)).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 y when two letters picked without replacement from {w: 4, y: 1, b: 1, v: 1, q: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 - (-11 - -52 - 23) - -5?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175850 is divided by 318.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 23 (b) 5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11021 at most 11022?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 - 4*v**2 + 5*v**2)*(2 - 2*v**2 + 4 - 4) + (-2*v + v + 0*v)*(16*v**3 - 7*v**3 - 26*v**3).\nAnswer: 13*v**4 + 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/53965 or 1?\nAnswer: 3\/53965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 70121579?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2060, -3574, -6034, -9434, -13768?\nAnswer: -19030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1121 - -588302?\nAnswer: 587171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.4 + 5. Let d = 1.28 - -1.04. Let u = -2.36 + d. What is the second biggest value in -0.1, u, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -98 - -95. Which is the closest to 1? (a) 6\/5 (b) j (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 22. Determine n(0).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/8 - 1639219*v\/4 + 819609.\nAnswer: (v - 3278436)*(v - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -10 + 58 + -44.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/3 and -149\/30948.\nAnswer: 30948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -27*(3 - 40\/12). Calculate the highest common factor of 1 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -9192\nAnswer: 18384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y - 10. Let s be b(-8). Let a = 5 - s. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95756945 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31.7 + 52.58. Let x = v + -21. Sort 1\/2, 0.4, x, -2 in decreasing order.\nAnswer: 1\/2, 0.4, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 509\/3 - 2689\/15. Let o = -1925 - -1915. Does o = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 106*v - 54*v - 20*v + 110*v + 147*v as d*v + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 158567 and 1?\nAnswer: 158567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -132, -1080, -49.\nAnswer: -1080, -132, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of j**8\/392 + j**7\/735 - j**2\/2 + 10. Let y(z) be the second derivative of w(z). Suppose y(o) = 0. Calculate o.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**5 - 730744*z**4 + 8768700*z**3 - 21921656*z**2 + 20460178*z - 6576480 = 0.\nAnswer: 1, 9, 365360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1854 * 0.2\nAnswer: 370.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11434960 is divided by 20566?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 104 + -4304. Round v to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -42, 9, -63, -3, 5 in increasing order.\nAnswer: -63, -42, -3, 4, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 4*o - 14 = 0, 3*o = -3*h + o + 10. Let a(m) = m**2 - m - 1. Let d be a(3). Sort 3, h, 4, d.\nAnswer: h, 3, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 11*b**2 - 10*b**2 + 9*b**2 - 7 + 3*b. Let s = -11 - -7. What is the units digit of a(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -g**7\/105 + 2311*g**6\/120 + 1721*g**5\/30 - 148*g**2 - 4*g. What is the third derivative of o(p) wrt p?\nAnswer: -48*p + 13866","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 7 + 13*o - 5 + 10*o - 22*o. Let w = 489 + -495. Give z(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 1 - -2 - (-24 + 30)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -14106.5 plus 57162?\nAnswer: 43055.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 23. Let s = 6 - d. Is -1 at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -114, -126, -152, -198, -270, -374, -516, -702?\n\"Answer: -u**3 - u**2 - 2*u - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 399 is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-6*-5*(3 + sqrt(833)*4 + -5))**2 + -3)*5.\nAnswer: -1008000*sqrt(17) + 119987970","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/21*(-69)\/(106950\/175)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5212403?\nAnswer: 7, 19, 39191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 2*n - 22 = 0, 5*l + 7*n - 99 = 47 - 195 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - u - 24. What is b(0)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0*63\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 105 = -0*w. Let f be 14\/w*6\/(-4). Let q(s) = -f - 5 + 4 - s. Determine q(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 61? (a) -12 (b) 5 (c) 0.4 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 6 = -5*f. Let x be (3 - 5)\/(f*-1). Let w(s) = s**2 + s. Calculate w(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4956 (b) 5 (c) 4 (d) -3.4 (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 501659 rounded to the nearest one thousand?\nAnswer: 502000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tbkbbbk. What is prob of picking 2 b and 1 t?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 326*w + 1217 + 6711 = 1317*w. Let r be (-159)\/2*(-32)\/6. What is the greatest common factor of w and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 6 = 0, 3*n = 4*d + 4*n + 58. Let x = d - -20. Suppose -x*z + 76 = -z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bninbiiniun. Give prob of picking 1 n and 1 i.\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + x + 1. Let n(a) = -4*a**2 + 6*a - 3. Give n(q) - 5*o(q).\nAnswer: q**2 + q - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1668 + 1074 - 463 - w + (-w + w - 2*w)*(-4 + 1 + 2) to the form t + j*w and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of 1\/6*c**3 - c + 0*c**2 + 0. Let z(r) = r - 1. Suppose 2 - 8 = 5*q + b, -q = -b + 6. Determine q*t(f) + z(f).\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1484494243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41 - 46. Let d(k) = -9*k + 3. Let z be d(n). Let f = z + -38. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4210122 (base 5) to base 12\nAnswer: -34204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j**2 + 66 - 560*j - 65 + 140*j)*(0*j**2 - j**2 - j**2) to l*j**4 + m*j + x*j**3 + g + i*j**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 746788 and 7301?\nAnswer: 1043","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/31545 and 101\/7010?\nAnswer: 63090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 196a?\nAnswer: 1965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 60331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110617?\nAnswer: 13, 67, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -524 + 541. Suppose 0 = -14*b - 3*b - u. Put b, -3, 96 in ascending order.\nAnswer: -3, b, 96","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 51*p**2 + 2*p - 2. Let y(n) = n**2 + 5. Let h(x) = -5*x**2 - 30. Let i(s) = -h(s) - 6*y(s). What is v(i(u))?\nAnswer: 51*u**4 - 2*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28203?\nAnswer: 3, 7, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-4) - 66\/(-24). Let b be (-4)\/z*(4 - 6). Factor -6\/5*r**3 - 2\/5*r**2 + 0*r + 0 - 4\/5*r**b.\nAnswer: -2*r**2*(r + 1)*(2*r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1 * 10.1.\nAnswer: 11.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**4 + d + 9*d**3 + 1 - 9*d**3 - 134*d**2 + 2*d + 132*d**2 to a*d**4 + w + y*d + z*d**2 + j*d**3 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1045648482 to the nearest integer?\nAnswer: 1015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2*i + 153, -38 + 332 = 4*i + 2*w. Calculate the highest common factor of i and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31\/(-9)*234\/((-676)\/26)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1510 and -1264.95?\nAnswer: -1910074.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 837865140 to the power of 1\/2, to the nearest integer?\nAnswer: 28946","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 953\/139498 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -548933\/10 + 54899. Let d = 554901\/196 + -19816\/7. What is the common denominator of d and s?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4270 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 4*s, 2*s = -2*h + 7*s - 7. Suppose -8 = -2*c + h*i, 2*i = 5*c - 5 + 1. Suppose 0 = 2*x - b - 1488, c*b + 3707 = 5*x + 4*b. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/(-9))\/((-455)\/3510).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -71, -139, -309, -635, -1171, -1971, -3089?\n\"Answer: -9*z**3 + 3*z**2 - 14*z - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 63732 in descending order.\nAnswer: 63732, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*2*1 - 2*(sqrt(99) + -2*sqrt(99) + sqrt(99)))\/((sqrt(99) + sqrt(99)*-1*6)\/sqrt(11)).\nAnswer: -2*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11\/6? (a) -2 (b) 101 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34703573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(539) - -1*sqrt(539)) + -3)*-5 + 5)**2.\nAnswer: -21000*sqrt(11) + 487600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -104 (base 9) in base 2?\nAnswer: -1010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 - 4) + (76 - 81).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3552 and 864.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 19899 + -1 - (-19 - -22). Suppose -m = 4*m - t. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2721899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 246 and 402?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9896949?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 2*f + 111 = 3*d, 0 = -2*f - d + 101. What is the greatest common divisor of f and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -1817*b**2 - 130*b + 40. Let y(m) = 909*m**2 + 64*m - 19. Let x(l) = 6*h(l) + 13*y(l). Find the second derivative of x(d) wrt d.\nAnswer: 1830","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d**2 - 3*d + 2. Let a(o) = -16*o**2 + 16*o - 11. Suppose -4*g - 5 = -21. Let w = g - 2. Let c(x) = w*a(x) + 11*z(x). What is l in c(l) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 4, 61 in decreasing order.\nAnswer: 61, 6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xdddxnnxpnd. What is prob of sequence dn?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*l + 218*l - 17*l - 56*l - 65*l - 70*l.\nAnswer: -36*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssssssssyssshsshhyss. What is prob of picking 2 s and 2 y?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2472\/492 + 4\/(-1) - (7 - 6). Is -0.54 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 600 and 1425.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2 = -2*a, -2*b + 6*b = -4*a + 4. Calculate the highest common divisor of a and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lb when two letters picked without replacement from llllkllllylkakbkkkl?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**3 + 23*k**2 - k - 26 wrt k.\nAnswer: -6*k + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 13 - 3 = 0. Let k(o) be the second derivative of o**3\/3 - 2*o**2 - 15*o. What is k(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 449 minutes after 2:05 AM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 2:20 AM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7582018*a**6 + 68*a**2 - 2*a + 27281 wrt a.\nAnswer: -909842160*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -141*x - 14. Let i(s) = -s**3 + 6*s**2 - 3*s + 14. Let a be i(6). List the prime factors of p(a).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 136 - 55. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8530037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -389 + 133 = -2*v + 4*m, 4*m = -2*v + 216. Calculate the remainder when v is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**3 - 9*i**2 + 18*i + 3. Let s be g(-6). Let p = 0.7 + 2.3. Let j = p + -3.1. What is the biggest value in j, s, -0.6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 24199296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -286*q*x**5 - 2*q*x**4 + 51*q*x - 3 wrt x?\nAnswer: -5720*q*x**3 - 24*q*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3102 and 20.\nAnswer: 31020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*m**6 + 10217552*m**4 + 183960*m**2 - 8.\nAnswer: 240*m**3 + 245221248*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 101354 (base 8) to base 7\nAnswer: 166500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2869490*p. Let z(y) = -2*y**2. Calculate x(z(j)).\nAnswer: -5738980*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -276 + 2580. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 49, -74, 7354 in descending order.\nAnswer: 7354, 49, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 - 44. Let l = 18 + w. Suppose -f = -5*b + 125, 0 = -b - f - 3*f + l. What is the smallest common multiple of b and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-572)\/836)\/((-357)\/(-2261)).\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -66 + 1727 + -1737 + (2 - 4).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -5*s. Let b be v(-1). Suppose -15 = 5*m - 2*m. Let r = 7 + m. Solve -r*c = -3 + b for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/((-1)\/(1122\/12)) is divided by 197?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57223 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: Round -0.22997 to 3 decimal places.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -177, 0.2, 0.4, 2\/3?\nAnswer: -177","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b + 0 + 0 + 4 - 4 + b + (-2*b + 4*b + 0*b)*(-3 + 3 + 2) + 4*b - 3*b + b)*(0 + 0 - b) as l + x*b + i*b**2 and give i.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19.996 + 0.004. Let q = 792.8 + -793. Which is the smallest value? (a) -1 (b) z (c) q (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174231107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 36\/1404*-611*(-3)\/6*-2*-6\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*y + y - 57*y**2 + 244*y**2 - 56*y**2 - 86*y**2 to g*y + t*y**2 + l and give g.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (4917\/462 + -11)\/(6 + -26)?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of 3*k**4\/28 + 4*k**3\/7 + 12. Factor s(d).\nAnswer: 3*d**2*(d + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/sqrt(3) + -4 - (2*sqrt(76) - sqrt(76) - sqrt(76))\/sqrt(4).\nAnswer: -4 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 3074.\nAnswer: 1\/1537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 18802 and 2063.\nAnswer: 20865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*x - 80*x = -4. Suppose 15 = 3*j + 3*c + 2*c, -5*j = -c + 3. Solve -x*s = -3*n - 8, j*n = 5*n + 2*s - 30 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -1 + 5. Let l(h) = -1 + 3*h - 5*h + 1. Let q(o) = -3 + 2*o + 3 - 1 - 15*o. Calculate r*q(m) + 14*l(m).\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 37384*d**2 + 165*d - 663. Is z(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10609307.1 microseconds to weeks.\nAnswer: 0.00001754184375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80.6 + -1658.\nAnswer: -1738.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -481 = -6*l - 157. Is 11 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50918 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 60 + -18033?\nAnswer: -17863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3832*c + 3835*c + j + 11, 2*c - 3*j = 22 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 + 5*y + 162 - 162)*(2*y - 4*y + 0*y) + (3 - 3 + y)*(4*y**2 - 3*y**2 - 2*y**2).\nAnswer: y**3 - 10*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*sqrt(576)*-2)\/(6*sqrt(36)\/sqrt(3)*-2).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -61 + 87. Let y = -9 + u. Let h = 87 - y. What is the greatest common divisor of 28 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11120 - 122?\nAnswer: -12012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 10:37 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of 23*j**6\/40 + 2*j**4\/3 + 2*j**2 - 9. Find the second derivative of w(l) wrt l.\nAnswer: 414*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 59\/4 of a microgram?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 310, 4466, 15748, 37714, 73922?\nAnswer: 127930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(192) + -1*sqrt(192) + (sqrt(3)*-1 - sqrt(3)) + sqrt(3) + -5)**2 - (sqrt(36)\/(sqrt(768) + 1*sqrt(768)) + -4).\nAnswer: -24 - 161*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) 276 (c) 0.3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 96514 divided by -451\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.414 plus -1190.3?\nAnswer: -1169.886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 226933400?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 18885 divided by 3777?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -6. Let s be 0\/((-3)\/(-2 + q)). List the prime factors of 42*1 + s\/(-8).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -148 - -199. Let u(d) = 5*d**2 - 18*d + 3. Let c be u(6). Let x = -41 + c. Calculate the greatest common factor of j and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4\/11 (b) -0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4400898 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(1\/(-6)*-3). Suppose -z = -2*i + 4 - 91, -r*i - 165 = z. Let n = -24 - i. Solve 5*p + 26 = h, -4*p + 0*p = 2*h + n for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -7748\/12115?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -7*n**4\/12 - 5*n**3\/3 - 7*n**2. Differentiate u(m) with respect to m.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 5*y - 105 = 0, 0 = -6*p + 2*p + 2*y + 78. Suppose 5*b = p*b - 5187. Let q = -257 + b. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 b when three letters picked without replacement from lbmpmqbpmpempe.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 682 divide 2365176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 5*c + 33. Give m(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 44161, 44212, 44357, 44644, 45121?\n\"Answer: 8*q**3 - q**2 - 2*q + 44156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2*u = 2, -3*q + 5*u + 2 + 1 = 0. Let p be (1 + -2)*-3*q. Let z be (-11)\/(88\/36)*-2. What is the greatest common divisor of z and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 143, -65, 4, 10 in descending order.\nAnswer: 143, 10, 4, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9887203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 66101\/132198 - 1\/66099. Find s, given that -21\/2 - l*s**2 - 11*s = 0.\nAnswer: -21, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 3:21 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 5460000 = -3*u. Round u to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 45 = -85. Is l a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/2)\/(1332\/16))\/((-2772)\/24948)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -161 (base 16) in base 10?\nAnswer: -353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.55009 take away -3?\nAnswer: -42.55009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47558 (base 14) to base 6.\nAnswer: 3421122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206806 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-3))\/(8\/(-51348)). Let y = 2098 + v. Calculate the common denominator of y and 43\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7047, -7198, -7445, -7788, -8227?\n\"Answer: -48*x**2 - 7*x - 6992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3859 smaller than 3859?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + g**2 + 4*g + 3. What is t(-4)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-76)\/152)\/((-2)\/7404).\nAnswer: 3, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 578 is divided by 84.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24\/14 + 2\/7. Suppose 0 = 13*w - 8*w - 30. Find the third derivative of r**w - 4*r**h + 272*r**5 - 272*r**5 wrt r.\nAnswer: 120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 435708 and 229957.\nAnswer: 8278452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 58 in 1\/2, 2\/7, 0, -3\/11, 0.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.01, 3, -0.4, -1\/3, 8, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 34 - 180 = -2*z, -71 = -u - 4*z. Let v(h) = 3*h**3 - 3*h**2 + h - 1. Calculate the remainder when u is divided by v(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 3*z**2\/4 - 429*z\/4 - 435\/2 = 0.\nAnswer: -2, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/(-10) - 11248\/(-17280)*-6 and 55\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m - 16 = -0*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/2*268\/134.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + -6*(sqrt(605) + -1)**2 + (-4 + sqrt(605) + -2)**2).\nAnswer: -5988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 g when two letters picked without replacement from {n: 3, b: 2, i: 7, g: 5}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 11 - 2)*(0*f - f + 0*f).\nAnswer: 17*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -5869 and -5875 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3 + sqrt(2)*-3))**2.\nAnswer: 288*sqrt(2) + 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 + 71 = 2*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9.734 + 9.6. Let b = t + -69.866. Let z = -62.8 - b. Round z to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**2 + c - c + (-57 - 97 + 35)*(-10*c**2 + 14*c**2 - 35*c**2).\nAnswer: 3687*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 3, 5 in descending order.\nAnswer: 20, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 25*r**2 + 119*r + 31. Let p be u(-6). Which is the nearest to 41? (a) 2 (b) p (c) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 381, 0.236, -1.69?\nAnswer: 0.236","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 6*c**2 + 7*c. Let a be y(7). Let t(i) = -2 + 11 - 10 + a + i. Give t(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 - -0.2. Let s = -13 - -9. What is the third biggest value in -0.01, s, f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 864 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 the highest common factor of 32 and 1232?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*j**2*y**3 - 3457*j**2 - 8080*j*y**3 + j*y wrt j.\nAnswer: 12*y**3 - 6914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35581334?\nAnswer: 2, 293, 60719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 8:19 AM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1707 is divided by 33.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 6*k + 1. Let p(a) = 31*a + 6. Let r = -327 + 324. Let j(o) = -17*o - 62. Let x be j(r). Give x*c(b) + 2*p(b).\nAnswer: -4*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - -3. Let y(a) = -2*a**3 + 3*a**2 - 2*a + 2. Let q be y(2). Let i = 16 + q. Solve -i = -3*z + 2*k - 3, -f = 2*k for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31021 - -2?\nAnswer: -31013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 581*q**2 + 4*q - 294*q**2 - 8*q - 297*q**2 as t*q**2 + u*q + z and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -274*i**2 + 2 - 6 + 210*i**2 to y*i + m + r*i**2 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -24127, -54806, -85485?\n\"Answer: -30679*z + 6552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -2*m**2 - 53756*m - 1771770 = 0.\nAnswer: -26845, -33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - j**2 + 0 + 4 - j**4 + 176*j**3 - 180*j**3 as i*j**3 + h + v*j**2 + z*j + d*j**4 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3621 divided by -213?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(110)\/(-2*(sqrt(10) + sqrt(10)*-2)) - (sqrt(539) + (-4*sqrt(539)*-1)**2 + sqrt(539))).\nAnswer: 27*sqrt(11)\/2 + 8624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89\/(-66) - 1407\/(-1206).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5*j - 32 = 0. What is the greatest common factor of 48 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v - 16*v = 201. Let q = -63 - v. Is (q\/(-5))\/(-3 - 644\/(-215)) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 547606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 10) in base 4?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 41*s + 1. Let w(d) = -1. Let c(k) = v(k) - w(k). Let z(l) be the first derivative of -l**2\/2 + 1724. Give z(c(r)).\nAnswer: -41*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 32083571 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 25 = -5*z, -5*j + 8*j = 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 1209*z**3 + 4*z**2 - 5*z. Let a(t) = -t**3 + 4*t**2 - 2*t - 3. Let o be a(4). Let b = o - -6. Let w be n(b). Round w to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 705456601?\nAnswer: 67, 547, 19249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122 = -t + 2*x, -500*t + 4255*x = 4254*x - 1060 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5579763400 to the nearest integer?\nAnswer: 74698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/8 - (-18)\/32)\/((-5835)\/(-2334))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -229.2 - -255. Let i = -26 + o. What is the second biggest value in -3\/4, 0, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4637, 9266, 13897, 18530?\nAnswer: 23165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39269680.\nAnswer: 2, 5, 137, 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1685.32 - 1685.2. Let z be ((-3)\/2)\/((-6)\/(-8)). What is the third biggest value in i, 2\/19, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - (-8 + -9 + -6)) + -5 - -15?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + (3\/4)\/((-2)\/(-16)). Suppose 2*t = -5 + f. What is the tens digit of (t - 300\/(-3)) + -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 32*a**2 + 56*a - 115. Calculate the smallest common multiple of f(-30) and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 5, -6 in decreasing order.\nAnswer: 5, 0, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0 + 0 - 15352*u + 32733*u - 791*u**4 - 16407*u wrt u?\nAnswer: -9492*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*a**5 - a**3 - 1\/3*a**2 + 0 + 2\/3*a + 1\/3*a**4.\nAnswer: a*(a - 1)**2*(a + 1)*(a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 6, 4*n - 4*d = 270 + 70. Let x = n + 26. Suppose -5*q = -72 - x. Does 18 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -k**4\/24 + 17*k**3\/6 + 4*k**2. Let y(h) = -2*h + 4. Let z be y(-4). Let m be x(z). Sort -0.7, 3, m.\nAnswer: -0.7, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-26 - (-21 + -5)) + (-1 - 4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -2. Let t = -356 + 205. Let x = t - -151. What is the third biggest value in 2\/9, z, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4519.8 * -0.6\nAnswer: 2711.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -893.0819321 + 1001.981861. Let o = 108.9 - k. What is o rounded to 6 decimal places?\nAnswer: 0.000071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/4 - 9100403*a\/4 - 27301227\/2.\nAnswer: (a - 9100409)*(a + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one twentieth of a microgram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/1)\/((-13)\/65). Suppose v = -f*v + 96. Let c be 18\/12*v\/6. Solve 0 = 5*y + 2*a + 20, 5 = -y - c*a + 1 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 5*c - b - 40, 3*b - 11 = -4*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -17*o + 44. Suppose 2*a = o*z - 78 - 46, 3*a + 124 = 2*z. Is 62 at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -193.22506 - -0.08468\nAnswer: -193.14038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 15854, 15854, 15856, 15860, 15866, 15874, 15884?\n\"Answer: d**2 - 3*d + 15856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 484420, 968835, 1453280, 1937761, 2422284, 2906855, 3391480?\nAnswer: 3876165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-76)\/(-5))\/((-10)\/(-25)). Let v = p + -37. Which is the closest to 0? (a) v (b) -5\/3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*(-4)\/(-6) - -6. Suppose 3 = -c*a - 9. Let r be 1 + (1 - (a - 3)). Solve 0 = -n + 3*n - r for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.15 - 4.05. Which is the closest to j? (a) -0.5 (b) 2 (c) 129 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 44 = 5*r + 120, 0 = -2*a - 8 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -469*w + 16. Let o(r) = 937*r - 35. Calculate -6*o(z) - 13*s(z).\nAnswer: 475*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -h - h + 160, 3*g - 2*h = 245. Is g a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3\/13 - -19\/26. Which is smaller: 27 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fg when two letters picked without replacement from ghfjjgfjgjfjjif?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 26*r + 159 = -23*r, 0 = 7*f - 2*r + 61 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -6*y**2 - 99*y - 119. What is the tens digit of l(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4686 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 3*f = 33. Suppose -2*l + 10 = 0, 0 = -0*q + q - 5*l + 45. Let c = 13 - q. What is the highest common factor of c and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*q - 5. Let s = -21 - -17. Sort s, 0, q in decreasing order.\nAnswer: q, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -550720 (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 = 13*p + 31. Let w(i) = 3*i**2 - 3*i + 6. Calculate the remainder when w(p) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75976?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2. Let d(m) = 3*m. Let s(t) = -t - 4*t - 7*t + 2*t. Let k(f) = 16*d(f) + 5*s(f). Calculate k(v(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -d**6\/60 + d**5\/60 + 10*d**2. Calculate i(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1431 and 2239197?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -172, -203, -262, -355, -488, -667, -898, -1187?\n\"Answer: -f**3 - 8*f**2 - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 8*p**2 - 7*p - 3. Let x be d(7). Suppose -4664*c - 16529 - 126056 = 956*c + 9155. Suppose 3*w = -12 - 0. Sort c, x, w in decreasing order.\nAnswer: x, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/10 and 151\/80490.\nAnswer: 80490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6\/25 + -1\/100. Let n = -2 - -4. Let t(s) = -4*s**3 - s + 1. Let p be t(1). Which is the nearest to n? (a) -0.1 (b) g (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, 393, 801, 1195, 1575?\nAnswer: 1941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -34*g + 803. Let d be a(14). Solve 31*b = -d + 110 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**2. Let v(f) = 9*f + 1. Let d(z) = 35*z + 5. Let r(w) = -6*d(w) + 25*v(w). Let a(m) = 23*m - 8. Let j(l) = -5*a(l) + 8*r(l). What is h(j(t))?\nAnswer: -50*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of 37*v**3\/3 + v**2\/2 + 26*v - 3. Let d = -1 - -3. Is q(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (2 - 4) - ((-4 - -1) + 18)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4110, 4010, 3762, 3300, 2558, 1470, -30, -2008?\n\"Answer: -11*u**3 - 8*u**2 + u + 4128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -6*j**3 - 8*j**2 - 30*j. Let x(r) = 2*r**3 + 3*r**2 + 10*r. Let d(n) = 3*c(n) + 8*x(n). Find the second derivative of d(y) wrt y.\nAnswer: -12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6772181 = 1238*d - 1225*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6857*f**2*r + 2*f**2 + 1316 wrt r.\nAnswer: -6857*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -39, -81, -135, -207, -303, -429?\n\"Answer: -m**3 - 35*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*h + 3*y - 43 = 0, -11*y + 2*y + 32 = h - 2*h + 91 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 390721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q - 3*q + 2*q)*(2*q**2 - 10*q**3 - 2*q**2) + 381*q**4 + 205*q**3 - 83*q**3 - 122*q**3 in the form y*q**4 + r*q + c + w*q**2 + n*q**3 and give y.\nAnswer: 371","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 45765903013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b + 194*b**2 + 2 - 57*b**2 + 80*b**2 + 108*b**2.\nAnswer: 325*b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88 and 11572?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + c - 642*c**3 + 16*c**2 - 642*c**3 + 1276*c**3 + 0 in the form n*c**3 + q*c + b*c**2 + y and give b.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*g - 21*g = 270. Suppose 19*n = 28*n + g. Let p(b) = -b + 1. Let s(j) = 8*j + 10 - 3*j + 3*j**2 + j - 16. Calculate n*p(f) - s(f).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 281 and 10?\nAnswer: 2810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u - 12. Let d be n(-14). Suppose -d*b - 8 + 8 = 0. Solve 28 = -r + 5*g, b*r + 2 = r + g for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2461733?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -117, 3, 7 in ascending order.\nAnswer: -117, 2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (15 - 1) + (-24)\/6. Suppose 15 = -s*u + 13*u. Suppose -2*h - 3*c = -124, 223 = 4*h - u*c - 47. List the prime factors of h.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 15 (c) 3\/5 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*a + 21*a = 30 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24576 rounded to three decimal places?\nAnswer: 0.246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 23102 (base 4) in base 8?\nAnswer: 1322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 + -3.29648373833\nAnswer: -3.37648373833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*p + 8 + 2*p**2 - 44*p + 22 as n*p + m + s*p**2 and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 151 = 25. Let p = q - 39. Suppose -3*d + 0*d - p*j = -264, -2*d = 4*j - 176. List the prime factors of d.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ezbbbssbbebzzbbefb. What is prob of sequence efsb?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -1. Let f(q) = 5*q. Let p(t) = 2*t. Let h(u) = 3*f(u) - 7*p(u). Let v(o) = h(o) - 2*m(o). Determine v(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 581.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 269 = 45. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1219437, 4877756, 10974955, 19511034?\n\"Answer: 1219440*l**2 - l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -1389.84 + -34.66. Round q to the nearest ten.\nAnswer: -1420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1)*c)**(-2)*((c**1\/c)\/c)**37 assuming c is positive.\nAnswer: c**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 62\/159 or 1?\nAnswer: 62\/159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -588251 or -588295?\nAnswer: -588295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -242*s**5 + 16*s**3 + 6*s - 1885 wrt s?\nAnswer: -4840*s**3 + 96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15906865*f**2 - 15906865*f**2 + 5*f**3.\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11807.2 - 11807. What is the nearest to 1\/2 in x, -40, 1\/8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 8*p**2 - 2*p + 9. Let z(x) = 17*x**2 - 5*x + 17. Let q(c) = -5*k(c) + 3*z(c). What are the prime factors of q(3)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51 - -99. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-270)\/(-33))\/(-120*(-90)\/39600)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2350, 4581, 6736, 8815?\n\"Answer: -38*p**2 + 2345*p + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/2539, -404.\nAnswer: -404, 2\/2539, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2065 and -14875.57.\nAnswer: -16940.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k\/(k\/(k**(-2\/23)\/k))*k**2*k)\/((k\/(k\/(k\/(((k*k*k\/k**(2\/13)*k)\/k)\/k))))\/(k*k**(3\/4)))*((k**1)**(-24))**(6\/25) assuming k is positive.\nAnswer: k**(22401\/29900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -5*b + 7, -m + 3*b + 9 = -0. Let s(a) = 3*a**2 - 10*a + 18. Let v be s(3). Suppose 0 = 2*c, 0*o + 4*c + v = -5*o. Sort m, -5, o.\nAnswer: -5, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4300 and 48522275.\nAnswer: 194089100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 174 = 5*o. Calculate the highest common divisor of o and 527.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 4 + 560984*h - 3 + 1018535*h.\nAnswer: 1579519*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -113 - -8547a?\nAnswer: 85367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 2*f - 3 + (-2*f + 4*f + 0*f)*(-1 - 1 + 0) - 3 - f + 3 - 1 - f + 1 - 2*f + 0*f - f + 3*f + 1 + 2*f - 6*f.\nAnswer: -8*f + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 77407*a**4*y**2 - 382*a**3*d**2 - 414*a**2*d**2*y**2 + 59633*d**2 - 2*y**2 wrt a.\nAnswer: 1857768*a*y**2 - 2292*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.02937 + -0.02937. Suppose 2*d + 4*u + 24 = 0, -2*d - 24 = 3*d + u. What is the nearest to 1 in d, t, -2\/11?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of k**2\/2 - 8*k - 37. Let x(u) = -1. Give -m(g) + 5*x(g).\nAnswer: -g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 14 + 4 = 2*x, 3*x = 0 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 52 in 3\/2, -3, -2, 2106, 1, -2\/7?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.72 * -3.516.\nAnswer: 16.59552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 5*h = -22, 3*h + 12389 - 12375 = -2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 830*r**2 - 40*r - 201. Let x be b(-6). Suppose -8*i + 12*i - x = -5*l, 0 = -l + 4*i + 6003. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30744 is divided by 2697.\nAnswer: 1077","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**3 - 11338*o**2 + 11338*o**2.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13896, 13286, 12278, 10878, 9092?\nAnswer: 6926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -33596859?\nAnswer: 67193718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**22*o**(8\/5)*o assuming o is positive.\nAnswer: o**(123\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*w = -8 + 376 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 72 - 268. Let t = -237.5 - n. What is t rounded to the nearest integer?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49896141 and 1211?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -3. Let c(j) = -7*j**2 + 7*j - 2. Let f(b) = -10*b**2 + 10*b - 3. Let v(r) = -7*c(r) + 5*f(r). Let l be v(1). Sort l, 0, d in decreasing order.\nAnswer: d, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 4\/223, 0.15 in increasing order.\nAnswer: 4\/223, 0.15, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2237*w**2 + 1098*w**2 + 36*w**3 + 1139*w**2.\nAnswer: 36*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.9 - 6. Let i = 0.05 - -0.05. Which is the closest to -1? (a) i (b) p (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 187.89 - 187. Let v = -0.69 + s. Which is the third smallest value? (a) -0.2 (b) v (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 225*z**2 - 112*z + 12912*z**3 + 12911*z**3 - 1920 - 25820*z**3 + 1540*z + 264*z**2.\nAnswer: 3*(z - 1)*(z + 4)*(z + 160)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001063 to 6 decimal places.\nAnswer: -0.000106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (10\/6)\/(2\/6) and (14\/6 - 2)\/((-37)\/(-222)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*x + 2*x + 3*x)*(x + 4*x - 3*x)*(-7 + 3 - 6)*(4 - 4 - 3) as h*x + g*x**2 + n and give g.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 9*j**2 + 7*j - 1. Let a be p(-9). Let y = -196\/3 - a. Suppose 5*s - 3 = 3*c, -3*c + 0*s - 3 = s. Which is bigger: y or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -58 - -60. What is the remainder when b + 3 + (0 - -3) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**4 - 16 + 21*r**2 + 18 - 26*r**2 - 3*r + 0*r**4 + r**3 to n*r**4 + y + c*r**3 + q*r**2 + k*r and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6*((-608)\/108 + 6) - 2. Which is the closest to 2\/7? (a) 4\/5 (b) 2\/5 (c) -2 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 10:37 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 11*k - 15. Let t = k + 7. Calculate the greatest common factor of t and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7072 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -2 - -2 - 9*(-3357)\/27 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11\/4 of a week?\nAnswer: 27720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2052 (base 6) to base 16.\nAnswer: 1d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 59835 and 285.\nAnswer: 1136865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j + 2*y + 1, y - 132 + 130 = -j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -170 - -254. Suppose s = 15*r + 24. Sort r, -2, -6 in descending order.\nAnswer: r, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*p - 47*p - 6*p.\nAnswer: -39*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/77)\/(-43 - (-10217)\/238)?\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + o - 41 = 0, 25 = 4*o + 17 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of f**3\/3 - 341*f. Let d(g) = -11 - 24*g**2 + 11. What is d(r(n))?\nAnswer: -96*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 48296289?\nAnswer: 579555468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -242, -2, 9.\nAnswer: -242, -2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/6 (b) -7 (c) -17.3 (d) -0.1 (e) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that q**4 + 137*q**3 - 2233*q**2 + 7111*q - 5016 = 0.\nAnswer: -152, 1, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 852 + 132\/(12 + 0)?\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**2\/13 + 239689990*p\/13 + 239689992\/13 = 0. Calculate p.\nAnswer: -1, 119844996","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-11\/4)*f\/f**(-4\/11))\/((f**14\/f*f)\/f**(-3\/8)))**(-35) assuming f is positive.\nAnswer: f**(48545\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 224*u - 662. Let n be a(3). Let m(w) = w**3 + 6*w**2 + w + 4. Let k be m(-6). Let s(q) = 3*q - 2. Let o(j) = j. Give k*o(g) + n*s(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75182.\nAnswer: 2, 37591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/1452 and -133\/7260.\nAnswer: 7260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q**2 - 4*q**2 + 8*q**2 - 15*q**2 - 116.\nAnswer: -5*q**2 - 116","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert b037 (base 16) to base 11.\nAnswer: 30990","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 146445758 to the nearest integer?\nAnswer: 12101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8227*v + 4084*v + 13*v**3 + 4143*v.\nAnswer: 13*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 163 - 145. Suppose 4*q - g - 10 = 0. Solve -2*k - 20 = -q*k, 5*r - 4*k + 41 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 17\/10 of a microgram?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(3) + 3) + sqrt(60)\/sqrt(5) + sqrt(3) + 1 + ((sqrt(75) - (-2 + sqrt(75) - sqrt(75))) + sqrt(75))*-2)**2.\nAnswer: -330*sqrt(3) + 588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - j = -243, -4*l - 6*j + 2*j = -252. Is 14 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 30238, -9, -0.13, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-6 + 3) - -5) + -9. Which is the closest to 16.8? (a) 1 (b) -2 (c) n (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14703\/5 + -2941. Which is the closest to -0.1? (a) -4 (b) z (c) 5 (d) 14\/55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22670?\nAnswer: 2, 5, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of 3*k**5\/35 + 3*k**4\/4 + 2*k**3\/7 - 60*k**2\/7 + 543. Factor r(a).\nAnswer: 3*a*(a - 2)*(a + 4)*(a + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c\/(c\/c**9*c))*c)\/c**(6\/5)*(c\/(c*c**(-2\/17)))\/(c**(-5)*c*c) assuming c is positive.\nAnswer: c**(-432\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 339*n - 9 - 7918 + 3032 = 9682 for n.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12098*k - 12120*k - 308 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2198 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + s**2 - 2*s + 4. Let w be v(0). Let g = 11 - w. Determine q so that -g - 8 - 7*q + 3 - 5*q - 3*q**2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6689 is divided by 181.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (44\/10)\/((-76)\/11590). Which is smaller: s or -670?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/3, 73, -0.2, -22, 3\/8?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-334.\nAnswer: -1670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 752*u**4 - 4*u**3 + 21 - 260*u**4 + 48*u**2 - 314*u**4 wrt u.\nAnswer: 4272*u - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-10) + 36\/15. Let y be (15\/10)\/((-3)\/(-4)). Let k(g) = b - y + 2*g. Let u(n) = -n. Give k(u(c)).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 151 - 91. Let s be ((-12)\/v)\/(1\/(-205)). Let u = -38 + s. Solve -4 = -w, u*w - 13 = 4*n - 5*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 2*v**2 + v - 1. Let h(u) = -u**3 - 11*u**2 + 14*u + 27. Let x be h(-12). Suppose -4*l = -x*l - 2. What is m(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-4)\/(l\/l**(4\/5))*(l*l\/l**(1\/4))\/((l\/(l\/l**(1\/6)))\/l) assuming l is positive.\nAnswer: l**(-97\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from sssfsissssssss?\nAnswer: 66\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 33, 173, 435, 843, 1421, 2193, 3183, 4415?\n\"Answer: 4*v**3 + 37*v**2 + v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001111 to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l**(1\/5)*l)*(l**(-2\/3)*l*l)\/l*l*(l**(2\/7))**(-9)*l**(-5)*l**(-3\/2)*l**2\/(l*l*l*l\/(l\/l**2)) assuming l is positive.\nAnswer: l**(-2297\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 50960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6*((-98)\/21 - -6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56681.\nAnswer: 56681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of h**6\/60 - 46*h**5\/15 - h**4 - h**3\/6 - 152*h**2. What is the second derivative of b(t) wrt t?\nAnswer: 12*t - 368","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 5*w - 18 = 0, -6 + 19 = -4*u - 3*w for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -147*z**2\/5 - 5886*z\/5 - 48.\nAnswer: -3*(z + 40)*(49*z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*54\/18*(-1)\/18.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-36)\/(-15)*((-140)\/(-14))\/((-9)\/(-6)). Let g = 15 - 12. Suppose g*x + 80 = 8*x. Is j less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 510696 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (-3 + -3 - 5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i = -75*i - 28 - 36 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 393.3182t?\nAnswer: 393318200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2145*t**3 + 6*t**2 + 3*t - 3. What are the prime factors of h(-1)?\nAnswer: 3, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m**2 - 5*m. Let d(l) = -509732*l. What is d(o(k))?\nAnswer: -1529196*k**2 + 2548660*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -8*k + 17. Find the third derivative of -3*r**k + 6*r**2 + 5*r**2 + 2*r**3 - 5*r**2 wrt r.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or -1691?\nAnswer: -1691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30553 - -30568. Solve 4*j + 2 = 3*n, 19*j = 16*j - x for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -72 - -1297\/18. What is the closest to p in -2\/17, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8761*i**6 - 4421*i**2 + i?\nAnswer: -1051320*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -2657*n**5\/20 - 1321*n**3\/3 - 2046*n. Find the second derivative of p(f) wrt f.\nAnswer: -15942*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 26 = 17*y - 16*y, -3*c = 2*y + 13 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.6 + 5. Let m = -1092 - -459. Let o = m - -632.6. Which is the biggest value? (a) o (b) -9 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.265 take away 0.08?\nAnswer: 61.185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 4105.114m?\nAnswer: 4105114000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*m - 3*m. Let i be 6\/(2*(-3 + 2)). Let g = m - i. Does 4 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 262560540 to the power of 1\/2, to the nearest integer?\nAnswer: 16204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 65. Let p(a) = -a**3 - 6*a**2. Let h be p(-6). Suppose h = -5*c + 2*y + 91, -c - 5*y = c - 19. What is the remainder when u is divided by c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13297?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -258*b**3*g**3 + 51*b**3*g + 12*b**2*g + 5004*b*g**4 - 299*b*g**2 + 2*g**3 + 2*g**2 - g wrt g.\nAnswer: -1548*b**3 + 120096*b*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6255 and -1.8.\nAnswer: -6256.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 8*v**2 - 367*v + 571. Give g(46).\nAnswer: 617","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m + 3. Let v be a(-1). Let t be v - (-127 + (-6 - -1)). Calculate the greatest common factor of t and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(208) - (1 + sqrt(52)\/sqrt(4)))*5)**2.\nAnswer: -150*sqrt(13) + 2950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 2*b + 4. Let t be (-64515)\/92 + 1 + 3\/(-4). Let a = t + 698. Calculate o(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, -4, -10\/3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1531557311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7486750422?\nAnswer: 2, 3, 37, 173, 181, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13923, 13932, 13947, 13968, 13995, 14028?\nAnswer: 14067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2 = -17, -5*d - 20 = -5*c. Let z be 50 - 9 - (0 + d). Calculate the greatest common divisor of 20 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1294 + 4719. List the prime factors of v.\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39336 - 11*z + 39336.\nAnswer: -11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -4*o**7\/7 - 14*o**3\/3 - 6. Find the third derivative of d(z) wrt z.\nAnswer: -480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8014 = -33*x + 34645. Suppose x = -24*b + 25*b. Calculate the remainder when b is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3705)\/(-6)*16\/170. Let g = -58 + v. Sort 3, 0, g in descending order.\nAnswer: 3, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -59? (a) -1\/3 (b) -2 (c) 0.2 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*x - 1. Let y be (11*x)\/(3 - 4). Let p = -259 - -380. What is the highest common divisor of p and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqd. Give prob of sequence dq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-10\/11)*p*p\/(p\/p**(2\/55)))\/(p\/(p*p\/p**(-1)))**(-2\/53) assuming p is positive.\nAnswer: p**(151\/2915)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 * -0.0662\nAnswer: 0.05958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129691.\nAnswer: 53, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 490 is divided by 45.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1371*j**4 + 1454*j**2 wrt j.\nAnswer: 32904*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1478 = 9*p - 979. Suppose -284 + p = -11*l. Which is greater: l or -2.39?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 933 - 952. Put 2, z, 3 in decreasing order.\nAnswer: 3, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*s - 472*s - 92*s - 203*s - 358*s.\nAnswer: -1165*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-6))\/((-6)\/36). Let r be 0\/(-2) - (c - 129)\/7. Is r >= -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t + 21*t + 47*t.\nAnswer: 61*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -67 + 82. Let b(v) = 4*v + p - 30*v + 0*v - v**3 - 14*v**2. Is b(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 0*t - 15. Suppose -5*o - 2*x - 3 = 0, 6*o - x = o + 9. Let n be ((-21)\/(-15) + -2)\/o. What is the nearest to n in -0.3, t, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*t - 96 = -0*f, 3*f + 4*t - 83 = 0. Let x = f + -15. Suppose d - 4*h = 23, 4*h + 79 = 5*d + 2*h. Calculate the highest common divisor of x and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 2\/4)*2. Let a be (-6)\/(-3)*3\/(-2). Sort 4, a, t.\nAnswer: a, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 12*y**2 - 105*y + 202. What is d(4)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 4 - 1. Let n(i) = 2*i**2 + 97*i + 55. Calculate the remainder when n(-48) is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -4, 44, 1 in ascending order.\nAnswer: -4, -3, -2, 1, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*i + 0*i + 910*i**2 - 905*i**2 - 13*i.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-5))\/((-1)\/(-1)). Suppose 111 = -2*d - 5*f, 4*f + 18 - 6 = 0. Let b be 1\/((-22)\/d) - 2. Which is greater: b or t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*t**3 - 750*t**2 + 1390 wrt t?\nAnswer: 6*t**2 - 1500*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 10, 0.1, 9, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*h + 14 + 8 - 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4822439.\nAnswer: 29, 179, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*s**2 + 8*s**2 + s**2 - 10*s**2.\nAnswer: 14*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 20*t - 15. Let v be p(18). Let q be 2 + (-7)\/(28\/8). Suppose 0 = -3*j, -v + q = 3*k - j. Which is bigger: -8 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a7203 (base 11) to base 15.\nAnswer: -31332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 327050 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18640651 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16338, 130593, 440606, 1044219, 2039274, 3523613, 5595078, 8351511?\nAnswer: 11890754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/9, -1\/3, -2\/5 in descending order.\nAnswer: 4\/9, -1\/3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 306005809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/42)\/((-7)\/(-21)). Let t = -46 + 47.16. Let v = -0.76 + t. Which is the biggest value? (a) v (b) -1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-106*d - 9 + 9)*(-7*d - 15*d**2 + 7*d + 0*d**2).\nAnswer: 1590*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 221357661 less than 0.61468?\nAnswer: -221357660.38532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + y + 2*y)*(465*y - 708*y + 766*y) - 6*y + 6*y - 4*y**2.\nAnswer: 1042*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -95142015, -190284031, -285426047, -380568063, -475710079?\nAnswer: -570852095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -415 - -416. Which is the closest to 0.1? (a) -37 (b) u (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*w**2 - 10*w + 10*w - 1)*(117 - 61 - 73 + 4*w).\nAnswer: -56*w**3 + 238*w**2 - 4*w + 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 417*b - 1448 = 421*b. Is b*27\/(-9) - 8 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -5*g + 1. Let f be r(1). Put 5, f, 0 in descending order.\nAnswer: 5, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 14, 32, 66, 122?\nAnswer: 206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 336032, -5, 0, 2 in decreasing order.\nAnswer: 336032, 2, 0, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + p - 55 = 0, -54 = -2*y - 4*p + 2*p. What is the second derivative of 2*a + 23*a**5 + 25*a**5 - y*a**5 wrt a?\nAnswer: 400*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/1 - 7\/(-7). Let z = h + 4. Let m(n) = n - 4. Let k be m(5). Solve f - z = k for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7660, -8080, -8778, -9754, -11008?\n\"Answer: -139*d**2 - 3*d - 7518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2 = -2*q + 5, 3*q = x - 13. Let m(c) = 2*c**2 - 5*c + 20. What is the units digit of m(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2753196169.\nAnswer: 2753196169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -4*b - 6. Let r be q(-2). Suppose r*k - 4*i - 8 = 0, 0 = -5*i - 7 + 27. Solve -k = -2*j - y, -y - 3*y = 3*j - 23 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4199 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r - 60. Let s be a(-31). Let g be -2 - (-5 - (2 + s)). Suppose g*y + 132 = 10*y. Calculate the remainder when 175 is divided by y.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**2. Let u(r) = -2*r**2 + 254*r. Determine u(o(y)).\nAnswer: -8*y**4 - 508*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 + 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2963840147 minus 116.5?\nAnswer: -2963840263.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does -105084 = -105083?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5724 divided by -75?\nAnswer: -1908\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 9*z**2 + 17130*z - 119833. Calculate v(7).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -94 + (55 - (-23 + 35)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40 * -6.6466.\nAnswer: 265.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 374 is divided by 142.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*n**2 + 59 - 382 + 166 - 29*n wrt n.\nAnswer: 6*n - 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 3*r**2 - 10*r + 3. Let a be i(-5). Suppose -a*y + 10 = -y, -4*y = 2*x - 58. List the prime factors of x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -13*w + 28. Let b(a) = -11*a + 23. Let v(s) = -7*b(s) + 6*z(s). Calculate v(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j + 2. Let l be k(-3). Let m(w) be the third derivative of w**6\/120 - 11*w**5\/60 - 2*w**2 - 6*w + 48. Give m(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77988154 times 1?\nAnswer: 77988154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43\/5 + 9. Let g = 58 + -33. Let i = 24 - g. Which is the second biggest value? (a) -13 (b) h (c) 1\/6 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1076599.\nAnswer: 31, 34729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -9*l**2 - 31743*l + 63538. Determine x(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 55*s + 0 + 33*s - 6.\nAnswer: -22*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = 5*u - 4*i, 0 = 3*u + 5*i. Which is smaller: -2\/431 or u?\nAnswer: -2\/431","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*k + 34*k - 2761 + 31*k - 129*k + 33*k as q + w*k and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-17365)\/8680 - -2*1. Let k = 98947\/8680 - g. Find the common denominator of -31\/4 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k + 5. Let f(z) = -88. Let i(u) = -31. Let p(l) = -6*f(l) + 17*i(l). Let m(q) = -8*q - 4. Let w be m(-3). Let o = -15 + w. Calculate o*p(s) - a(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1705.8 - -1866. Let r = 8 - b. Round r to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (-4 - (-7 + -1 + -11))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -9, 0.2, -3\/2, 3\/16?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*f - 1734 = -678. What is the highest common divisor of f and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -30\/319 (b) 4 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.096887501 + 0.09689. What is v rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c*c*c**(-3))\/c*c)*c)**(3\/20)\/(c**(-2\/5))**42)**(-2) assuming c is positive.\nAnswer: c**(-69\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3136 - -3140. Solve 2*r - 4*h = 8, 33*r - 35*r = p*h for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 8:13 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 7806 divide 2323744722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 w when three letters picked without replacement from {e: 4, w: 4, v: 5, u: 3}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/(-6))\/((-4)\/(-712)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*b**4 - 3074*b - 21454.\nAnswer: 28*b**3 - 3074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -121\/2 + 11\/2*w - 1\/8*w**2.\nAnswer: -(w - 22)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*a = 188 + 2. What is the third derivative of -5 + 1569*k**2 + 50*k**5 - 1568*k**2 + a*k**5 wrt k?\nAnswer: 3300*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -23750265 - -118?\nAnswer: -23750146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59 + -59. Let b(l) be the third derivative of 0 + m*l + 1\/6*l**3 - 1\/60*l**5 - l**2 + 0*l**4. What is q in b(q) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 0 + sqrt(363) - -1*(sqrt(363) + -1 + sqrt(363)).\nAnswer: -5 + 33*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 594 - 605. Let a be (g - (-175)\/14)\/3. Factor a*y**3 + 1\/4*y - 1\/2 + 5\/4*y**2.\nAnswer: (y + 1)*(y + 2)*(2*y - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**2 + k**2 + 2*k**2 + 4*k**2 + 0*k**2 - k**2 + (-3*k - 3*k + 4*k)*(2*k + 2*k - 2*k) + 3*k**2 - 2*k**2 + 0*k**2 - k - 2*k**2 + k.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -184 (base 10) to base 13.\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7752543428 less than -2912?\nAnswer: 7752540516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence opxo when four letters picked without replacement from {x: 3, p: 3, f: 3, o: 10}?\nAnswer: 45\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.2, 7551.499.\nAnswer: 0, 0.2, 7551.499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32156557?\nAnswer: 32156557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 1. Let b(j) = -8*j. Let l(q) = -7*q. Let a(w) = v*b(w) + 7*l(w). Let p(y) = 20*y - 35*y + 16*y. What is a(p(i))?\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 2 n, and 1 o when four letters picked without replacement from {y: 8, t: 2, o: 2, n: 2, r: 1}?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/2 of a decade?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3891, 4027, 4165, 4305, 4447?\nAnswer: 4591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 + 44. Suppose -4*t + f = -x*t + 365, 0 = 4*f + 16. What are the prime factors of (-10)\/(-35) - t\/7?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -340?\nAnswer: -345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15645 + -15640. Let c(u) = 3*u**2 - 2*u + 11. Let b(l) = 7*l**2 - 4*l + 23. What is f*c(t) - 2*b(t)?\nAnswer: t**2 - 2*t + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 613772 (base 8) to base 9\nAnswer: 338103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -314 + 5153. What are the prime factors of i?\nAnswer: 3, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 82*t**2 - 2*t - 1. Is l(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7576aa (base 12) to base 13\nAnswer: -500c7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 506.8 - 506.0003. What is l rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -123, -129, -141, -159, -183, -213?\nAnswer: -249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 116553688 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -94283061.7 rounded to the nearest one thousand?\nAnswer: -94283000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.48171*-5.818.\nAnswer: -2.80258878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15555 = -43*x + 49590. Is 15 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.11, -0.5, -1\/4, -1 in decreasing order.\nAnswer: -0.11, -1\/4, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4365\/36)\/97)\/((1690\/48)\/(-13))?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 26\/4*(-1185)\/6. Let l = -1262 - g. What is the common denominator of 41\/3 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900) - (sqrt(1900)*-1 + -5)) + sqrt(1900))**2 + sqrt(1900).\nAnswer: 310*sqrt(19) + 17125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 193, 317, 367, 343, 245, 73?\n\"Answer: -37*z**2 + 235*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**2 + 22*v - 33. Let m be k(9). Let f = -207 - -209. What is the nearest to m in f, -1, 2\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1310626989?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14160496 is divided by 377?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -100 - 18. Let x = b - -161. Is 2 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -1\/11 (b) 48 (c) 2\/1695811\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 7 + 6)*(-2 - 2 + 6)*(-54 - 219 - 93 - 4*o)*(0 + 0 + o) as h*o + b*o**2 + m and give h.\nAnswer: -10248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 7\/(70\/20).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 669 and 424251033?\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence slsc when four letters picked without replacement from lcssholoosoe.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-2\/13)\/b)\/b*b\/(b**16*b) assuming b is positive.\nAnswer: b**(-223\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.649165 to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**3 - s**2 - s. Let n be l(-1). Let f be n\/6 - 134\/3. Let t = f - -81. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 14 - 4*m**2)*((-1 - 1 + 0)*(2*m - 2*m - m) - 1 + m + 1 + 3*m + 0*m - m + 3*m - 2*m - 3*m + 2*m + m - 5*m) + 6*m**3 + 0*m**3 - 4*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 37237980 to the power of 1\/2, to the nearest integer?\nAnswer: 6102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-7 + 2)*(-2 - (-8735)\/(-25))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3344139345 to the nearest integer?\nAnswer: 57829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 44930 = -4*s + 2*j, -4*s - 4*j + 35944 = 0. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 2*a - 329 = -331, 9*a - 9 = 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**3\/2 - 8877*z**2 - 71079*z\/2 + 44415 = 0. Calculate z.\nAnswer: -5, 1, 5922","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 AM and 4:01 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -998629412 and -2.\nAnswer: -998629414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 12:41 AM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**3 + 7*d**2 + 3*d - 4. Let b(p) = -p**3 + 7*p**2 + 3*p - 3. What is -4*b(s) + 3*r(s)?\nAnswer: -2*s**3 - 7*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 116989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -38, 2\/23 in descending order.\nAnswer: 2\/23, -3, -4, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4625*o**2 - 190*o + 6 - 4627*o**2 + 0 to the form h*o**2 + g*o + z and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -4 (c) -2\/5 (d) -82 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2155229*z - 174132. Let i(y) = -1386*y + 112. What is -4*f(j) - 6219*i(j)?\nAnswer: -1382*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {v: 3, m: 2, n: 5, k: 7}?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.9 - -11. Let f = 159778.000069 + -159777.1. Let y = f + q. What is y rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/10*(-38)\/(-114)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28184 = 2*b - 9*b + 4*t, 3*t = -b + 4037. Calculate the remainder when b is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iby when three letters picked without replacement from {b: 1, a: 3, i: 3, w: 2, y: 2, f: 1}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.59 + 1.12. Let q = -3.42 - r. Let c = q + -0.05. What is the second biggest value in c, 0.3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -547 divided by -1.\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence scq when three letters picked without replacement from {s: 2, q: 2, c: 5}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 623 and 356?\nAnswer: 2492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - h = 6. Suppose -h*p - 14 = -4*p. Let n be (p\/2 - -1)\/(33\/88). Solve -2*y = 2*y - n for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17 and 33754?\nAnswer: 573818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.5, 3.2, -0.056, 41\/7?\nAnswer: -0.056","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -4 + sqrt(2) + 4 - ((sqrt(96)*4)\/sqrt(6) - sqrt(16))\/sqrt(8))**2.\nAnswer: 4*sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16c5 + -17b?\nAnswer: -1873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -1598\nAnswer: 7990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/150 and 77\/5130?\nAnswer: 25650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 q when four letters picked without replacement from eeeeeqqeqeeeeqqqeee.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 48*b**2 - 95*b. Does 4 divide j(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 360.78 and 37?\nAnswer: 13348.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-27))\/(((-3)\/(-15))\/((-27)\/5))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrkkrr. What is prob of picking 3 r?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1415 + 1478. Solve -22*r + 41 = -w*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s**2 + s + 1 + 3*s - s**3 + 1. What is the remainder when 26 is divided by l(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-7904)\/7581 + (-4)\/(-42)?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2037.\nAnswer: 3, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*a - 6*a = -93. Suppose -q - 5*i = -109, 525 = -a*q + 8*q + 5*i. Is 13 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -m**4\/12 + 11*m**2. Determine i(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2632 - 1257 = -r + 3*z, -3*z - 7766 = -2*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.758 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-26)\/(-10) - (-4)\/10. Let f = -32.057 + 0.057. Let q = -32.3 - f. Sort 1\/3, c, q in decreasing order.\nAnswer: c, 1\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260 is divided by 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -199\/211140 and 31\/9936.\nAnswer: 844560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 14*m**2 + 581*m + 84. Let d be k(-18). Let z(x) = -130*x - 782. Determine z(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 82 + (-14 + 25 - -5 - 8).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -15\/248, 1.3, 0.02 in descending order.\nAnswer: 1.3, 0.02, -15\/248, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by 91?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 13 = 4*q, -4*w - 5*q + 253 = 229 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -4*u**2 - 2*u - 5. Let s(p) = -3*p**2 - 2*p - 5. Let d(r) = -4*j(r) + 5*s(r). Let l be d(3). Does 8 divide (-4 - l)*18\/(-12) - -53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/1294333 or -1?\nAnswer: -2\/1294333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -703*h**7\/210 + h**6\/60 + 2471*h**5\/30 + 12*h**2 - 108*h. What is the third derivative of u(r) wrt r?\nAnswer: -16872*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -241*c - 78. Determine s(5).\nAnswer: -1283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 15 = -4*y, -4*y + 17 = -5*k. Sort 3, k, 5 in descending order.\nAnswer: 5, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -13*s**3 - 4*s**2 - 2. What is the units digit of u(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-30))\/(60\/(-720))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87, -127, -193, -285, -403, -547, -717?\nAnswer: -913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -166216, -332204, -498192, -664180?\nAnswer: -830168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -505*d**2*o + 79727*d**2 - 397033875*o wrt d?\nAnswer: -1010*d*o + 159454*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*h**2\/4 - 14740*h + 29485 = 0. What is h?\nAnswer: -11794, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 3329 - 313 = 0. Let c = 392 - s. Solve -1 = 14*z - c*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-7)\/7)\/(-2*1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 + 32. Let m(f) be the first derivative of f**4\/4 + 2*f**3\/3 - f**2 - f + 1. Determine m(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 475848 and 2160.\nAnswer: 4758480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20507563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i - 3. Let x be m(-5). What is the second derivative of -24*b**2 - 150 - 2*b**4 + 3*b + 139 - 26*b**x wrt b?\nAnswer: -24*b**2 - 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3206253 a multiple of 515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 17770.543 to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**3 + 2771 - 5537 + z**3 - z**3 + 2766.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 108, 237, 366, 495?\nAnswer: 624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -42*d**3 + 4*d - 21*d**3 + 5*d + 19*d**3 - d**4 + 3*d as l + u*d + m*d**3 + s*d**4 + q*d**2 and give m.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n**2 - 15*n**2 - 19*n**2 to the form v + x*n**2 + d*n and give x.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*a + 75 = -69 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 819 divide 73480680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1110344, -2220688, -3331028, -4441364, -5551696?\n\"Answer: 2*m**2 - 1110350*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 2*m + 7 + 24, -25 = 2*n + 5*m. Which is the third smallest value? (a) n (b) -3 (c) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -286230, -570582, -854932, -1139280, -1423626, -1707970, -1992312?\nAnswer: -2276652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uimpppppymmmpm. What is prob of sequence pi?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-6))\/((-102)\/68).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.095 + -0.108. Let b = p - -3.013. What is the closest to 0 in b, -10\/27, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1134077692 to the nearest integer?\nAnswer: 33676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -25*j - 43*j + 72*j - 62. What is the least common multiple of w(17) and 93?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + j + 57 = 0. What is the greatest common divisor of 95 and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1, -5, 3, 7, -265, -1\/4, -144?\nAnswer: -144","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*u - 1124 = -242 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1\/5*-943 - 4)*-5.\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/sqrt(4)*6 + (sqrt(2) + (sqrt(6) - sqrt(6)*2)\/sqrt(3) - sqrt(2)).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 6*u**2 - 24*u**2 + 6*u**2 + 6*u**2. Let a(n) = 16*n**2 - 12*n + 12. Let w(k) = k**2 + k - 1. Let t(d) = a(d) + 12*w(d). Give i(t(o)).\nAnswer: -4704*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (2 + -3 - -5) - 3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 176*g - 25 = 177*g, -5*g - 35 = -x for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-39570002 + 9 - 4) + (3 - 7) + 1. Round x to the nearest one million.\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 12*o - 4. Let y(a) = -a**2 + 37*a - 11. Let i(c) = -7*l(c) + 2*y(c). Let x = -4 + 6. What is the remainder when i(-5) is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, l: 1, x: 11, e: 2}. Give prob of sequence lx.\nAnswer: 11\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = 3*n - 4*t, 1103*n - 1098*n + 21*t - 8 = 0 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 48 - 477. Let c = 468.4 + x. What is c rounded to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6766)\/(-10) - 36\/(-90). Suppose -2*p + 3*p - 4 = 0, -2*h + 4*p = 944. Let k = g + h. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aimed. Give prob of sequence ei.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 953.0635 millilitres in litres?\nAnswer: 0.9530635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -69, 4, -1\/3, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -12. Let p = r + -1. Put 3, p, -2 in descending order.\nAnswer: 3, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5 + 6)*(2 + -3). What is the second biggest value in n, 1\/2, 5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54487 and 4738.\nAnswer: 108974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k + 23*k**2 + 2*k**2 - 6*k - 6*k**2.\nAnswer: 19*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (11 + (-1480)\/35 + 31)\/(3\/462)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/((-6336)\/44)*32\/(-296)\nAnswer: -1\/74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - 2*j. Let m be p(3). Let n be 1\/(-5) + (-16)\/(-5). Let b(z) = -n*z + 0*z**2 - m*z - z**2. Calculate b(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -162 times -0.033\nAnswer: 5.346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -11*d**3 - d**2 + 3*d - 3. Is k(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 18*y + 88. What is t(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -20*t + 336. Calculate the smallest common multiple of t and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -42135 - -113?\nAnswer: -42022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + 1)*2\/4. Suppose 160*s + 752 = 66*s. What are the prime factors of (k\/1)\/(s\/(-928))?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*d - 20, -2*d + 53 = 5*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 450 and 10500?\nAnswer: 31500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5730, -5454, -4984, -4320?\n\"Answer: 97*h**2 - 15*h - 5812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/1482 and -107\/8528.\nAnswer: 486096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2794*h**2 + 5835 wrt h?\nAnswer: 5588*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7831447, 7831448, 7831449, 7831450, 7831451?\nAnswer: 7831452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28620.\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 34 in -3\/2, -0.5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/(-6))\/(8\/60). Let s(j) = -11*j - 13. Let q be s(r). Suppose 8*t = 3*t - 2*k + q, -5*k = -5. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 20*j - 2*j = 0. Solve -4*x + 5*a = -0*a + 16, j = 4*x - a + 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zllrllllzzzrzl. What is prob of sequence lrrz?\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 23 + 8 = 4*x, -2*s - 4*x = 18. Let d = 12 - 24. Let k be ((-2)\/d)\/((-2)\/3). Which is greater: s or k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (12 - 12)) + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -34*g**2 - 102*g. Let f(o) = -o. Give -d(z) + 102*f(z).\nAnswer: 34*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9 + 104 + -12 + 3. Calculate the greatest common factor of h and 299.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -34*h + 175. What is the remainder when 124 is divided by t(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*t - 2*t - 5*t)*(-5 + 4 - 1) + 3*t - 2*t + t)*(-8 + 8 - 44 + (-7 - 1 + 0)*(3 + 0 - 2)).\nAnswer: -312*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 364 divided by 5.\nAnswer: 364\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*y**4 + 5 + y + 8*y - 8*y - 25*y**4 wrt y.\nAnswer: -144*y**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -104, -179, -254, -329?\nAnswer: -404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 3*m + 15 = 0, -2*d - 2*d + 25 = 5*m for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -27 - (((14 - -17) + -24 - -10) + -3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 32493 * 36.1\nAnswer: 1172997.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2561\/3404 - 2\/851. What is the second biggest value in w, -9\/2, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 41859882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 - 36. Let q(j) = -j**2 + 1. Let o be q(-2). Sort a, 4, o.\nAnswer: o, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -594a3 + -5?\nAnswer: -594a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 4*i - 30 = 0, 4*z - i = 16 + 8 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 u when two letters picked without replacement from lwluwzuc.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -330419 equal to -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -10001000100 (base 2) to base 15\nAnswer: -4cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 29 = 2*g, -128*g - 57*k - 287 = -127*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25669 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -7*m**2 + 2874*m - 8697. Calculate k(3).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -10*v + 524. Calculate c(47).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47935 + 47935 = -481*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 10:35 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 33*a - 204. What is w(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + x**3 - 1)*(-147*x + 2 + 439*x + 69*x).\nAnswer: 361*x**4 + 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 680.012 - 680. What is d rounded to three dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1533580152 take away 108?\nAnswer: -1533580260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -113\/210 - 1\/30. Let q = 40 + -35. Let r = -23\/12 + 19\/12. What is the smallest value in q, s, -2, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 7*g**2 + g - 9. Let x be r(8). What is the common denominator of x\/24 + (-2)\/3 and -19\/11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -4*g**3 + 5*g**2 + 5*g - 5. Let s(n) = -20*n**3 + 24*n**2 + 24*n - 24. Let k be (-16)\/(-3) - 3*(-4)\/(-36). Give k*s(z) - 24*t(z).\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 890 - 866. Solve 0 = 2*b - 5*x + 21, 9 - d = -3*x for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31501294*h**5 - 73763436*h wrt h.\nAnswer: -630025880*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.077? (a) -0.2 (b) 0.11 (c) -2 (d) 1 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/71 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.01 (b) -64 (c) -1.3 (d) 3 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23417382 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/41342?\nAnswer: -1\/41342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 352 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9810)\/3270)\/((2\/(-12)*-2)\/9)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(171) - sqrt(171)*2) + sqrt(171)))\/sqrt(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -8*h + 15103. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lkaealkraa. Give prob of sequence ea.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 13031 divided by -1094\nAnswer: -13031\/1094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*-2)**2 - (sqrt(108)\/sqrt(4) - sqrt(27))*6.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 b when three letters picked without replacement from {w: 1, y: 5, j: 1, b: 2, t: 6}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39786.\nAnswer: 2, 3, 19, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(60) - sqrt(480)\/sqrt(72))\/(6*sqrt(48)) + 0 + sqrt(45) + sqrt(5)*2*4)**2.\nAnswer: 796*sqrt(5)\/9 + 203189\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112102 (base 3) to base 16.\nAnswer: -185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h**2 + 2*h - 3. Suppose -14 = b + 5*f, -6 = -4*b + 2*f - 18. What is the tens digit of o(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 415836.\nAnswer: 2, 3, 11551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7230414984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/26274 - 235961\/13268370. Calculate the common denominator of 39\/1010 and j.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from ykyykykykyy.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 246 divided by 105.\nAnswer: 82\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3 + 13*r**2 + 32*r + 20.\nAnswer: (r + 1)*(r + 2)*(r + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 80*h**4 + 5*h**2 - 52*h + 3.\nAnswer: 960*h**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15712.993 + -15720. Let p = 0.007 + h. What is the second biggest value in 0.5, 5, p, -0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) -3\/5 (c) 172 (d) -79\/2 (e) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + u**2 + u + 2. Let i be c(0). Suppose -6*w + 208 = i*w. Calculate the smallest common multiple of w and 9.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -5. Let p be ((-5)\/y)\/(-1) + 3. What is the closest to 2 in -1\/6, p, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*n - 101 + 66 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, -141, -539, -1177, -2073, -3245, -4711, -6489?\nAnswer: -8597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6186681573.\nAnswer: 3, 53, 101, 191, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11700 to the power of 1\/2, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3836 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*w + 434 = 74 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24500390?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9219 - -15569. Suppose -3*f = 22*f - j. Is 26 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -118 or -76424\/647?\nAnswer: -118","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Sort 1175, -2\/3, -107.8 in descending order.\nAnswer: 1175, -2\/3, -107.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1832 = 3*t - 5*b, t = -4*t - 2*b + 3012. What is the hundreds digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*z**2 - 38*z + 1455 wrt z.\nAnswer: -10*z - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/(-14))\/((-8)\/((-8)\/3)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 3:08 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 < 11489?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 16170452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -42155 (base 10) in base 4?\nAnswer: -22102223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2630743198 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12633843 rounded to the nearest 100000?\nAnswer: 12600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302306106?\nAnswer: 2, 3, 229, 220019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188 = -3*x - 182 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 - 0) + -3*4\/(-3). Suppose 114628 = o*x + 8316. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**4 - d**4 + 0*d**4 + (1 - d**2 - 1)*(282*d**2 - 12421 + 12421) to the form r*d**2 + i*d**4 + f + o*d + w*d**3 and give i.\nAnswer: -281","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-70)\/7*6\/(-4) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3, 30, 45, 42, 15, -42?\n\"Answer: -x**3 + 34*x - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 16853862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 717942 and 4?\nAnswer: 1435884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 4*t + 130. Does 13 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and -4619290598590.\nAnswer: -4619290598585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/1650 and -51\/140?\nAnswer: 23100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7383 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.89+166818\nAnswer: 166818.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/32140 and 121\/10.\nAnswer: 32140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/4 - 64\/128. Suppose s - 9 = -u, 0 = 3*u + 2*s - 4*s - k. What is the highest common factor of 2 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1984 - -1942) + (-45 - (6 - 3))?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2\/15 (b) 4 (c) 10 (d) -1\/2 (e) 0.21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -153, -637, -1443, -2571, -4021, -5793?\nAnswer: -7887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*p + 23 = -10. Let d be -2*(13\/p + -7). Which is bigger: -49\/4 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*u = 29*u + 88. Let r = -5700 - -28389\/5. Let a = u - r. Sort a, -0.5, -3.\nAnswer: -3, -0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -9*f**3 + f**2. Calculate l(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4\/(-10) + 8\/(-60)*-843?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -23\/40?\nAnswer: -23\/40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 3, -5204, -4, -1, -11.\nAnswer: -5204, -11, -4, -2, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-57)\/12 - (-1)\/(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, 0.4, 0.3, -244, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 7*d + 1. Let j = 56 - 54. Let c(t) = 1. Let i(p) = j*c(p) - o(p). Differentiate i(h) with respect to h.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(1 - 16\/4). Let i = -214 + 163. Let j = i - -60. Solve 0 = x*o - 0*o + j for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (1 - 9 - -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -2*f**6\/75 - f**5\/5 + 61*f**4\/15 - 22*f**3\/3 - 10756*f. Solve l(x) = 0.\nAnswer: -11, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, e: 1, y: 10, o: 2, c: 2, z: 2}. What is prob of picking 1 c, 1 i, and 1 o?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 875 divide 26559750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 6*l + 7. Calculate the remainder when 11 is divided by t(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1\/y)\/y**(1\/5)*y**(3\/2)*y**(-3) assuming y is positive.\nAnswer: y**(-17\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o - 7*o - 15*o**2 + 8*o to the form y*o**2 + l + t*o and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 6*d - 3*k - 35 = 0, -45 = 5*d + 4*k. Let f = 6 + d. Solve -l = -f + 5 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 239*v**2 - 4*v. Let s(n) = 12*n**2 + 256*n**2 - 29*n**2 - 5*n. Let j(t) = -5*o(t) + 4*s(t). Let u(w) = 2*w. Determine u(j(k)).\nAnswer: -478*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 2 - (-5)\/(1 - 0). Let s(c) = 4 + 9*c - 2*c - 14 + y*c. What is the units digit of s(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from aooooaaoaoo.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4\/3 - 2*s**3\/3 - s**2\/3 + 2*s\/3.\nAnswer: s*(s - 2)*(s - 1)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v + 27. Calculate x(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (((-408)\/(-3))\/8)\/((-1)\/5). Let y be ((-13)\/(-2))\/(l\/30 + 3). Suppose -32*p + y*p = 56. What is the smallest common multiple of 55 and p?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/(-16)*85*58\/(-725)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) 186 (c) -57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23271*c - 22983*c + 46446*c.\nAnswer: 192*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - 3 - ((18 + -19 - 7) + 17 + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -292.882 to 1 decimal place.\nAnswer: -292.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 14*m = 22*m. Let p(w) be the second derivative of 1\/3*w**3 + m - 3*w**2 - 6*w + 1\/3*w**4. Factor p(t).\nAnswer: 2*(t - 1)*(2*t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 4*z + 14 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4*d - 3. Let g(l) = -9*l - 7. Let r(t) = 6*g(t) - 14*y(t). Suppose 4*m + 11 = -2*b + 29, 2*b = 4*m + 2. What is r(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z**3\/2 - 4937*z**2 + 24334425*z\/2 + 97653924 = 0. What is z?\nAnswer: -8, 4941","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -2)\/(2\/34). Let v(c) = 159*c - 162. Let j be v(6). Let r = 808 - j. Is r greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 473997?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -144*j**3 - 88*j**2 - 88*j. Let h(k) = -5*k**3 - 3*k**2 - 3*k. Calculate -176*h(a) + 6*l(a).\nAnswer: 16*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - 2*p + 3*p)*(-2*p**2 - p**2 + 2*p**2) + 875*p**3 + 47*p**2 - 47*p**2 - 70*p**3.\nAnswer: 806*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.01, -2.6, -0.4, -0.93, 0.5?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of r**4\/3 - r**3\/6 + 8*r. Find the second derivative of c(g) wrt g.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 57 or 279\/5?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 1 - 3)*(-45)\/180?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 56 = i. Let d = i - 9. Solve -2*t - 9 = -d*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 28875295 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*h - 130*h + 62*h + 40 = 0 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*m + 49 = 39, -n = -2*m - 10. What is the remainder when 338 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 d when four letters picked without replacement from {d: 12, z: 7}.\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224 = u - 14. Calculate the common denominator of (-3)\/9*u\/(-4) and (-18)\/(-12)*(-33)\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c**2 + 4*c - 4. Let a(g) = -g**3 + 9*g**2 - 9*g + 11. Let l be a(8). Let u be h(l). Calculate the highest common factor of 5 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -129 - 53 + 234 + t. Is h(30) a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v + 15. What is the remainder when 38 is divided by o(7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 12*p**2. Let f(y) be the second derivative of y**5\/120 - 5*y**3\/6 - 11*y. Let c(b) be the second derivative of f(b). Determine c(l(u)).\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.2 + -0.2. Let l = -1425 - -1425.8. Which is the nearest to n? (a) l (b) 4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -14*b**2 - 8*b - 1. Let k(z) = 5*z**2 + 3*z. Let i(v) = -3*v + 2. Let d be i(-3). Let q(t) = d*k(t) + 4*w(t). Calculate q(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 7838.\nAnswer: 7838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40.15 + -0.15. Let l = 8011 + -7971.97. Let x = l - f. Round x to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2872545 and 6.\nAnswer: 5745090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 74\/1 + (-12 - -8)?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1191 (b) 0.07 (c) -6 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - i - 5 = 0, 0 = 4*u - i + 2 - 7. Let w = 2 - -2. Suppose w*g - 1 = s - 0, s = 3. Solve u = 2*k - 1 - g for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11011110101 + 20200?\nAnswer: 11011201001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280684 is divided by 1871?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o - w - 0 + 1, 5*w + 7 = 4*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d + 3. Let f be (-6)\/2*8\/(-3). Let v be f\/(-3)*(-3)\/(-2). Determine y(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-6) - 1624\/(-464). Let b(w) be the second derivative of 1\/3*w**n - 13*w - 2*w**3 + 0 + 0*w**2. Find v, given that b(v) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of -5*c**4\/4 - 3*c**3\/2 - 9*c**2. Let b(l) = -89*l - 26. Let g(f) = 4*b(f) - 11*q(f). What are the prime factors of g(-2)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uljjlljjllllljllllr. What is prob of picking 3 l?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 2 (c) 9 (d) 3\/4 (e) -0.118\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14873 and 71904?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20001774737 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5*w**3 + 4*w**2 - 11*w + 9. Let m(a) = -11*a**3 - 8*a**2 + 23*a - 19. Let v(f) = -9*b(f) - 4*m(f). List the prime factors of v(-7).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 95.89625 millilitres?\nAnswer: 0.09589625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 1\/6 (b) -6 (c) -0.4 (d) 1\/7 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 3*y + 3*c + 1177, -6*c - 1189 = 5*y. Let g = -182 - -66. Let o = g - y. What are the prime factors of o?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of -c**4\/24 + 35*c**3\/6 + 2*c**2 - 32*c. What is the remainder when 15 is divided by b(25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 11:00 PM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 + -17.8. Which is the second biggest value? (a) v (b) 0.17 (c) -4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -41*f + 2. Let v(k) = k. What is -i(r) - 4*v(r)?\nAnswer: 37*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1694 - 2140 = -71*v - 994 for v.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 5:51 PM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1 + (30 - (-2 + -1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 459 + 127 = 45*y - 44 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5934 by 1.\nAnswer: 5934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1c (base 13) to base 6\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 7. Let p(k) = k**3 + 5*k**2 + 3*k + 3. What is p(q)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 242.8479 millimeters to nanometers.\nAnswer: 242847900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f - k = -16*f + 308, 2*f = 5*k + 622. List the prime factors of f.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 5*x. Suppose 3*z = v - z - 10, z = x. Is 10 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 687?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 4:50 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/1*1)\/((-105)\/(-14))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (144\/(-14))\/(-6)*(-35)\/(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f**2 - 6. Let r be b(3). Suppose r = 6*v + v. Put v, -2, 19 in decreasing order.\nAnswer: 19, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42625, -42631, -42639, -42649, -42661, -42675?\nAnswer: -42691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l + l + 0 - 1. Let u(i) = -i**2 + 1. Let d be (-1)\/(2\/24*3). Let o(s) = d*w(s) - 2*u(s). Factor o(n).\nAnswer: 2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1492683 a multiple of 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108 = 6*u - 33*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -15.1. Let w = -0.10028 - v. Round w to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 189092 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 29 and -0.035153.\nAnswer: 28.964847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 43 = -51. Suppose 3*z - 2 = 7. Suppose -14 = -4*o + 2*o - 4*x, 4*o = z*x + 72. Solve -3*c + u*q + 12 = 0, -4*c = 2*q - 1 - o for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 198 + -161. Calculate the remainder when b is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, j: 3}. What is prob of sequence jj?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -90*g + 1544. Let f be s(17). Suppose -2*u - w + 6 = -3*w, 5*u - 3 = 2*w. Which is the third smallest value? (a) -0.1 (b) f (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 865 divided by -6.\nAnswer: -865\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3001*d**2 + 36. Let u be n(6). What is u rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 811676, 1623350, 2435010, 3246650, 4058264, 4869846?\n\"Answer: -a**3 - a**2 + 811684*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 37217 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eleven quarters of a microgram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 5832 and -8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -3*l - 273, -52 = 3*x - l + 757. Let m = 1085\/4 + x. Which is the closest to -0.1? (a) 0.2 (b) -0.5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14417860 to the power of 1\/3, to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12131 (base 5) to base 8.\nAnswer: -1624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 244 from -2259798.\nAnswer: -2260042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - 21. Let l be 2\/3 - 2\/3. Find the first derivative of n + l*y - y - y - y wrt y.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4*((-3)\/(-6) + 0). What is the third derivative of x*o**2 - 3*o**5 + 3*o**2 + 8*o**5 + 3*o**2 wrt o?\nAnswer: 300*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.5 * 0.1\nAnswer: -0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -901 divided by 79008\nAnswer: -901\/79008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3331 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 12 = -3*h. Suppose 8 = 5*y - 5*n + 48, -4*y - h*n = 18. Let c be 2*1*2\/(-4). Let i(t) = 1. Let l(o) = -o - 7. Calculate c*l(k) + y*i(k).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 0.3, 4, 28\/55, -0.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202320 is divided by 67253?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.034 rounded to zero decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o - h - 8 = 0, 4*o - 46*h - 4 = -43*h for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**5\/8 - 63*a**4\/8 - 225*a**3\/4 - 237*a**2\/2 - 81*a.\nAnswer: 3*a*(a - 27)*(a + 2)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3361, 12860, 28465, 50176?\n\"Answer: 3053*j**2 + 340*j - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21800547*q**4 - 21334729*q**2.\nAnswer: 523213128*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2023 (base 6) in base 8?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195*x - 469 + 31 = 147 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 8) + (3 - 1) - -4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -825 + 120?\nAnswer: -705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.018 - 0.038. Let f = b + 0.02000049. Round f to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 437583248?\nAnswer: 2, 3533, 7741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 1\/258 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11554 + 65055?\nAnswer: 106642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from -185663.3.\nAnswer: -185663.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12333 - 3?\nAnswer: -13002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 j when three letters picked without replacement from {j: 2, y: 2, u: 5, k: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 241, -111, 0, 5 in increasing order.\nAnswer: -111, -1, 0, 5, 241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20033436?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2574 (base 14) to base 4.\nAnswer: -1212222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2624 + 1512 + 1074 = -218*k - 6126 for k.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1376296 is divided by 1376224?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*j = 2, 2*m = 2*j + 8. Sort m, 3, 5, 85 in decreasing order.\nAnswer: 85, 5, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x**2 - 4*x + 8. Let v(w) = -w + 2. Let q(d) = -3*i(d) + 12*v(d). Let r(z) = z**2. Give r(q(t)).\nAnswer: 144*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of y**4\/4 - y**3\/3 + 11*y - 38. Suppose 6*m = -0*m. List the prime factors of f(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -13*o - 139 + 277 - 81. Let w be r(4). Let b(g) = g**3 + 3*g**2 - 5*g - 3. Let x be b(-4). Solve 0 = d - x + w for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -13*h + 11 - 3*h**2 - h**3 + 10*h**2 - h**2 + h**2. Let j be u(5). Sort j, 39, 3, 5 in descending order.\nAnswer: 39, 5, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-4 + 10 + -13).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33394, 33387, 33380, 33373, 33366?\nAnswer: 33359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 219 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -153, 201, 3 in descending order.\nAnswer: 201, 3, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*t + 123*t - 57*t - 1824 = 0 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/13320 and 23\/14702616?\nAnswer: 73513080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**0)**(-1\/5))**(-3\/5))**(-4\/11))**(-7\/9) assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 65 = 10*k - 12*k. Calculate the remainder when 51 is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 10*i + 21. Let r be k(-2). Let u(c) = -c**2 - c. Let o(a) = 11*a. Determine r*o(w) + 11*u(w).\nAnswer: -11*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 21*s**4 - 3 - 23 + 9*s**2 + 16*s + 38*s - 56*s**3. Let f(t) = -85*t**4 + 225*t**3 - 35*t**2 - 215*t + 105. Let b(y) = 25*d(y) + 6*f(y). Factor b(m).\nAnswer: 5*(m - 2)**2*(m + 1)*(3*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15012 + 388*a**2 + 15012 + 177*a**2 to the form u + h*a**2 + o*a and give h.\nAnswer: 565","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -10*v. Let p(f) = 5*f. What is 3*b(d) + 5*p(d)?\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 64584972 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(56)\/sqrt(112))**2 + 4 + 1*(sqrt(24)*-1)\/(-6*sqrt(12)\/sqrt(4)).\nAnswer: sqrt(2)\/3 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*b**4 + b**2*h**3 - 3*b**2*w + 9*h**3*w + 5*w with respect to b.\nAnswer: -64*b**3 + 2*b*h**3 - 6*b*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 120, 239, 358, 477, 596, 715?\n\"Answer: 119*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 232889 and 1295225?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*w + 2*m = -13*w - 44, 0 = -2*w - 5*m + 23. Suppose 53 = 5*c + 3. What is the smallest common multiple of w and c?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -5. Let i be (2\/f)\/((-4)\/(-18)). What are the prime factors of (-1 + i)*(-9)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.9 + -3. Let o = 2 - 0. What is the nearest to k in -5, 0, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1092 or -2?\nAnswer: 1092","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4677 and 61563351?\nAnswer: 4677","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (132\/(-9) - -20) + 4\/6. Let s be 5 + 0\/(0 - 1). Solve s = c*j - j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 40551 = 263568. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*((-462)\/(-8) + (-5)\/10). Suppose 133 = -h + o. Is h a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6396 + 1674. List the prime factors of r.\nAnswer: 2, 3, 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12\/207599 and 52\/48587?\nAnswer: 2283589","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 7*d. Let h be w(0). Suppose 3*s + 18 = 3, h = -5*p + 2*s + 35. Solve -2*k + 18 + 9 = p*v, -5*k - 3*v + 20 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -313 - -287. Let w be -5 + ((-993)\/(-204) - d\/(-221)). Let m = 2.1 - 0.1. Sort m, w, -1\/3, 0 in descending order.\nAnswer: m, 0, w, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32*x**6 - 2*x**4 + 9*x**3 + 1480*x**2 + 4 wrt x.\nAnswer: -3840*x**3 - 48*x + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/42)\/(-4) + (-21021)\/(-106722) + (-6)\/(-44)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-3)*(-1 - -16). Let d be (-38)\/z - (-1)\/5. Solve d = 8*v - 4*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -189 in 1759, -33, 3?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -2\/811, -1540?\nAnswer: -1540","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -14*t. Let d(u) = 13*u. Give d(h(r)).\nAnswer: -182*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 63.11456793 + -0.11456713. Let r = -347 + 284. Let a = u + r. What is a rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*k = 146692 - 147612 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 5*q - 16 = -44, -p - 2*q - 9 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -3 (c) 214 (d) 5 (e) 1\/4 (f) -1 (g) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/63)\/(16\/3). Let a = u - -121\/504. Sort a, 0.3, -4.\nAnswer: -4, a, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3330841 is divided by 3330757?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40999114 to the nearest integer?\nAnswer: 6403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - (-2 - (-3 + 15)) - (-5 - (3 + -3))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -46*t + 63. Let j be y(1). Solve 16 = 4*v - 8*v + 5*n, v + 4*n - j = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 42076424 and -7.\nAnswer: -294534968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 117\/(-2106) + (22\/18 - 1). Let f(t) be the first derivative of -4\/3*t**3 - 8\/3*t - 1 + k*t**4 + 3*t**2. Suppose f(p) = 0. Calculate p.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 4*p = 20. Let s = p - 10. Let j be (4\/s)\/((-6)\/(-15)). Solve 3*x + 5 + j = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 536 = 11*i. Suppose 0 = 8*t + 61 + i. Let m = 67 + t. Solve 0 = 3*l - 15, -5*l + m = 4*y + 14 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -14*j + 5*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1979, -1659, -1333, -1001, -663, -319?\n\"Answer: 3*g**2 + 311*g - 2293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.350336255 rounded to five dps?\nAnswer: -0.35034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a millimeter in micrometers?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d + 7. Let f(t) = -t**3 - 5*t**2 - 5*t - 4. Let h be f(-3). What is a(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17*-45.1.\nAnswer: 766.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 4*y - 1 = 0, -2*m + 2*y - 6 = 2 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o. Let i(q) = q**2 - q. Suppose -2*s + 4*s = 0. Let z(t) = s*t**2 - 2*t + 4 - t**2 + 0*t. Let v be z(-3). Determine v*b(d) - i(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.03508 hours to seconds.\nAnswer: 7326.288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 5.2. Let s = i + -1.8246. Round s to three dps.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/18736 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2. Let n(x) = -2*x**2 - 7*x + 431. Determine n(f(m)).\nAnswer: -2*m**4 + 7*m**2 + 431","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -h**6\/270 + 19*h**4\/108 - h**3\/9 - 4*h**2 + 2383*h. Determine p so that g(p) = 0.\nAnswer: -4, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*a**4 + 40*a**3 - 165*a**2 = 0. What is a?\nAnswer: -11, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m - 6. Let l be h(0). Let c = l - -16. Suppose 0 = -4*a + c*a - 150. Is 25 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 312 + -545. Let w = b - -233.113. What is w rounded to 2 decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 6\/18 - (5 + -3).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2004*t**2 - 17*t + 79. Is u(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 14*p. Let u be -3 - ((-48)\/(-4))\/(-3). Let r be l(u). Let h be r\/(-84) - 50\/(-12). Solve h*n - 7 = 1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/j**(-2\/33)*j)*j**6\/j*j)\/(j**(-1)\/(j**2\/j)))**(24\/5))**49 assuming j is positive.\nAnswer: j**(89768\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 8 - 2. Suppose w*v = -2*y + 50, -2*y + 4 = -v + 2. Find the second derivative of -2*o + o - 2*o + v*o**2 wrt o.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/(((-72)\/(-32))\/(-3))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2121222010021 (base 3) to base 4.\nAnswer: 11111001310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 134, 548, 1460, 3098, 5690, 9464, 14648?\n\"Answer: 38*s**3 + 21*s**2 + 85*s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -47\/2*z**2 - 117*z + 5\/2 = 0.\nAnswer: -5, 1\/47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pkyqzkkpykqpykky. What is prob of picking 1 p and 2 k?\nAnswer: 9\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 y, and 1 j when three letters picked without replacement from {m: 3, a: 1, j: 2, p: 1, y: 3, e: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2225 + -2228. Let a(x) = 2*x**2 + x + 2. Calculate a(l).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -402c (base 14) to base 2\nAnswer: -10101100001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -2*b - 21429605 + 1189929613, 2*h + 467399996 = -b. Round h to the nearest one million.\nAnswer: -234000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -2 + (-2 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2054, -2110, -2202, -2330?\n\"Answer: -18*x**2 - 2*x - 2034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101010110 (base 2) to base 15.\nAnswer: -17c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*n + 27 - 27)*(-4 + 1 + 2)*(2 - 4 + 3).\nAnswer: 18*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2619 + -2624. Let f(o) = -2 - o**2 - 5*o**2 + 5*o - o**3 + 8. What is f(r)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - s - 16, 2*l + 0*s - 8 = -s. Let w be 2 - 9\/l*-2. Suppose -c - 4*p + 13 + 11 = 0, -c + w*p - 21 = 0. Sort c, -5, 3 in decreasing order.\nAnswer: c, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 384.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 12*i**2 + 3*i + 4. Let a be w(3). Suppose x + 5*h = a + 92, 2*x - 486 = 2*h. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w - 3*w - 5*w.\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 305*n + 10. Let o be (0 + -1)*(7 + -3). Let s be r(o). Round s to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 5*h - 14 - 2, -2*b - 3*h + 39 = 0. Suppose 4*a = 4*g, 5*g + 22*a = 20*a + b. Suppose -3\/2*t**2 + 3\/4*t + 0 + 3\/4*t**g = 0. Calculate t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 637.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r - 16. Let f be d(-15). Let c be (15\/(-6) - f)*5*-20. What is the derivative of -c*g**3 + 77*g**3 - 8 + 73*g**3 - 15*g**4 wrt g?\nAnswer: -60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 126*t**2 - 10*t + 4. Let m(q) = -129*q**2 + 12*q - 4. Determine 6*c(z) + 5*m(z).\nAnswer: 111*z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(1 - 1 - 2*z**2) + 3 - 2*z**2 + 6*z + 0 - 2.\nAnswer: 2*z**2 + 6*z + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -69*n + 55. Let p be u(4). Let d = -1321 - p. Round d to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*t - 6839 = -13*t - 22879. Is t a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of t**6\/120 - 3*t**5\/20 - 3*t**4\/8 - t**3\/2 + 13*t**2. What is the units digit of n(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 65*y**3 + 1124 wrt y?\nAnswer: 195*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -8 - (-107 + 3 + -2). Put -2, v, 2 in increasing order.\nAnswer: -2, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1245 - 11393 = 25*u - 122*u - 75*u for u.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 71491 - 214468\/3. Let d = -128 + 74. Put d, 1, m in ascending order.\nAnswer: d, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20*x**4 + 2*x**3 - 14*x**2 - 5321*x - 370888845 wrt x?\nAnswer: 80*x**3 + 6*x**2 - 28*x - 5321","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3, 14, 43, 78, 113?\n\"Answer: -k**3 + 12*k**2 - 12*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55209 is divided by 631.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g**6\/g)*g**(-2\/3)*g**(2\/3)\/g*g**(-2))**(-25) assuming g is positive.\nAnswer: g**150","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**2 + 4 - 84375264*q + 84375264*q - 4.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 b when three letters picked without replacement from {b: 4, c: 3}?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -32286377 - 0.13?\nAnswer: -32286377.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a84 - -74?\nAnswer: -2a10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/12*(-66)\/9. Solve 5*p - 5 = 0, -3 = 4*y + 2*p + t for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9 + 51*w + 9 + (1 + 2 - 1)*(-6*w - 3*w + 22*w).\nAnswer: 77*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 3530*k + 233905. What is m(65)?\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**5 + 138*r**4 - 1364*r**3 + 3096*r**2 - 1872*r = 0. What is r?\nAnswer: -78, 0, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(495)\/(sqrt(33)\/sqrt(3)))\/(sqrt(108)\/sqrt(3)).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-30 - -9)*(-1)\/3. Solve v = 4*p - 1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/71983989 and 53\/855.\nAnswer: 359919945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 5*r**3 - r**2 + 2*r. Let y be o(2). Let b = y + -28. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 356861*b**3*u - 7*b**3 - 886*b - 2 wrt u?\nAnswer: 356861*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1e (base 16) in base 3?\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -10, 5914, 17, -4 in increasing order.\nAnswer: -10, -4, 5, 17, 5914","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3716596187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -90, -768, -2610, -6198, -12114, -20940, -33258?\n\"Answer: -97*u**3 + u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/((-1 - -3) + -1). Suppose -6*p + 7*p + 1 = j. Let r(g) = -10*g**2 + g. What is r(p)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, -1\/6, -4, -1356?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1190 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9 * 11.\nAnswer: -9.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*r - 65*r + 42 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 1131123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(112) - (sqrt(112) - (1 + sqrt(112)))*-1) + sqrt(112))*-3)**2 - -1*(sqrt(112) - 5*-2*sqrt(112))**2.\nAnswer: -144*sqrt(7) + 17593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -13*c**2 + 25*c + 7. Let g be j(2). Let a(s) = s**2 - 3*s + 4. What is a(g)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/711540 and -49\/2242.\nAnswer: 13519260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r**3 + 11*r**2 + 4*r - 10. Let i(p) = 4*p**3 + 12*p**2 + 6*p - 10. Calculate -2*i(v) + 3*t(v).\nAnswer: v**3 + 9*v**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**5 + 185*u**4 - 350*u**3.\nAnswer: -5*u**3*(u - 35)*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -3. Let g = -0.3379 + -0.6621. Let s = 1.9 - 2. Which is the closest to j? (a) g (b) 2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 116074 to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 667232 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3*t - 31 = 0, 2*t - 38 = -2*q - 16. Suppose u = 5*u - q. Solve -p = u*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/3154 and 13\/95.\nAnswer: 15770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 278643*a**3 - 115936?\nAnswer: 835929*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -116 - -929\/8. Sort s, 1\/4, -0.01.\nAnswer: -0.01, s, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 3773968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2bca (base 14) to base 6\nAnswer: -100114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 33 and 0.108.\nAnswer: 3.564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 122 + -109.05. Round q to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i**2 + 3*i**2 - 152*i + 52*i + 47*i + 48*i + 11. Calculate j(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 5*w**2 + 5*w - 4. Suppose 113 = 561*q - 556*q + 4*o, 0 = -3*q + 5*o + 16. What is the lowest common multiple of f(5) and q?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 329662 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11.2 - -0.4. Let v = -10.7 - x. Which is the nearest to -2\/13? (a) v (b) -5 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*q**3*t*u**2 + q**3*u**2 + 176*q**3 - q**2*t*u**2 + 6*q**2*t - 913*t wrt q.\nAnswer: -42*t*u**2 + 6*u**2 + 1056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*u + 17 = -118 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0288 - -0.3412. Let o = -6.13 - -6.5. Let y = g - o. Which is the third smallest value? (a) -0.3 (b) 1\/2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -530 (base 9) to base 8\nAnswer: -660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -26*a - 3. Let d be s(1). Let n = d + 31. Suppose 2*p + 5*u = 16, 2*u = -2*p - 0*u + 16. Solve -p = -4*g + n*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33253169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2466371 is divided by 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55426755?\nAnswer: 3, 5, 67, 131, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 2 - 5. Is (-1 + 7)\/(s\/2) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 693?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2 - 399*k + 16544.\nAnswer: (k - 352)*(k - 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 - (78 + 8 + -27)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-1)\/(-11))\/(94 - 95)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1862 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) 1 (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30490308?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i - 4*i**4 + 8*i**4 - 18*i wrt i?\nAnswer: 48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -q**6\/2 + 9*q**2\/2 + 3*q. What is the first derivative of w(h) wrt h?\nAnswer: -60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1247 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -l**6\/600 + l**5\/100 + l**4\/30 - 11*l**2\/2 + 7*l - 139. Let q(w) be the second derivative of o(w). Factor q(c).\nAnswer: -c*(c - 4)*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*r - 114 = -4*a, -39*r + 9 = -40*r - a for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3541, 7079, 10617, 14155, 17693, 21231?\n\"Answer: 3538*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 0 + (34\/(-3))\/2 and 15\/11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 + -34 + 10 + 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(4\/15)))\/i**(-1) assuming i is positive.\nAnswer: i**(11\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 9*w + 7. Let o be (-29)\/(-3) + (-4)\/6. List the prime factors of p(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.0135 rounded to 2 decimal places?\nAnswer: -2.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-4 - 1 - -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6)\/x**(-1\/5))**24 assuming x is positive.\nAnswer: x**(-696\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 903 - 899. Let z(u) be the second derivative of 0 + x*u + 1\/30*u**3 + 0*u**2 - 1\/100*u**5 + 1\/150*u**6 - 1\/60*u**4. Suppose z(t) = 0. What is t?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - 14. What is the third smallest value in -2, 1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*o - 3)*(4*o - 4*o - o) - 41 + 7029*o**2 - 7035*o**2 - 10.\nAnswer: -4*o**2 - 51","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 - -221451776103.\nAnswer: 221451776112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 20*m**2 - 36*m + 7. Let p(g) = -18*g - 23. Let t be p(-5). Let r = t - 52. Calculate the remainder when r is divided by w(18).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45488 by -4.\nAnswer: 11372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 106455 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**3 + o**2 - 6*o + 265. Give g(7).\nAnswer: 958","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 13*f + 61 = -10*f, 223 = 3*x + f. Suppose 36*g = x*g - 7080. Does 59 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -10*v**2 + 103*v + 40. What is s(18)?\nAnswer: -1346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -172, -5, 9, -3, 3 in descending order.\nAnswer: 9, 3, -3, -5, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3*n**2 + 3*n - 2*n - n**3 - 2*n + 3*n. Determine o(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -2*a + 82, -96 = -0*a - 3*a - 3*x. Calculate the remainder when 64 is divided by a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.072 - 32.928. Let q = x + 32. Sort 5, q, 4 in ascending order.\nAnswer: q, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -4*y**2 - 628796*y - 3143880 = 0.\nAnswer: -157194, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + 24*h**2 + 53*h - 31. Let y be t(26). Sort y, -10, 4, -48, 5 in descending order.\nAnswer: 5, 4, y, -10, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 17506 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2284 + -1507?\nAnswer: -3790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -1, 1, 37, 4, -3, 6.\nAnswer: -3, -1, 1, 4, 6, 21, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -317190520 rounded to the nearest 1000000?\nAnswer: -317000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**3 + 5*i**3 - 3*i**3 + (i - 2*i + 3*i)*(57 - 57 - 47*i**2)*(3 + 2 - 6).\nAnswer: 96*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -1694?\nAnswer: 3\/1694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1588701 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*v - 110 - 164 - 102 for v.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-124 + 124 + 20*i)*(-i + i - 2*i)*(-6*i**2 + 3*i**2 + 0*i**2)*(4 + 3 - 4).\nAnswer: 360*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 192960.4 times -0.62?\nAnswer: -119635.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 6 - 15*d - 16*d + 42*d + 3*d**2 + 0*d**3 - 15*d. Suppose b - 2 = -6. Let p be c(b). Let s(y) = -y**2 - 8*y - 9. Determine s(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5 = 3*a - 2, 5*a = 5. Suppose -s + 3*n = 2, l*n - 16 = -5*s + 5*n. Let p(f) be the second derivative of f**3\/3 - 3*f**2\/2 + f. Determine p(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11\/44)\/(1\/4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -62 (b) 0.5 (c) -25 (d) -4 (e) 1\/68 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7621.\nAnswer: 7621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 121.1 in 1\/11, 0.06, -1\/4?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1782*a**5 - 1723*a wrt a.\nAnswer: -35640*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by -5144?\nAnswer: 7\/2572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-1 + -3 - -6)) + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3459 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1888 - -434.5\nAnswer: 2322.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2808 and 1466712?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 43373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-352)\/(-33))\/((-25824)\/(-249363)).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 544, 563, 582, 601?\n\"Answer: 19*i + 525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -905*a. Let i(o) = -6226*o**2. What is s(i(t))?\nAnswer: 5634530*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173 + 2*b**2 - 3*b**2 + 173.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + -3 - 6\/4)*(-3640 + 3558)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1189, -544, -2271, -3992, -5707?\n\"Answer: 3*x**2 - 1742*x + 2928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -74*k + 157. Determine y(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5838 = 323*o - 39*o + 133*o for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, y: 2}. What is prob of picking 1 y and 1 w?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 35\/10*((-2)\/205)\/((-371)\/(-1590))\nAnswer: -6\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 288384606?\nAnswer: 2, 3, 16021367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 - 32. Let z(m) = -m**2 + 585. Let p be z(v). Suppose -6*i + p = 3*i. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 11*i**2 + i + 4. Let v be t(-11). Find the common denominator of (-38)\/v - (6 - 4) and (-8)\/(-120)*282\/4.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/3))**(-34\/3)*(y**(-2\/27))**(-23\/3) assuming y is positive.\nAnswer: y**(-566\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y + 3*y - 5*y)*(0*y - 6*y + 0*y)*(-17 - 32 + 64)*(-12 + 5*y + 12).\nAnswer: -900*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 7:59 PM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j**3 + 166*j**2 + 54*j - 24. Give h(-55).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-3 - -4) - -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3996\/12 + (-6)\/(-2).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5451 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 2*m - 184. Suppose 0 = -3*r - 16 + m. Let h = r + -14. Are h and -2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1168332 and 660?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6254 - -6284. Solve -2*f = -6*f + 2*m + r, 9*f - m = 50 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/7, -0.3, -111, -5, 1\/2, 89?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -12 (b) 0 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -224629 (base 14) to base 11.\nAnswer: -726040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 4*r - 2. Let u(x) = 4*x - 6*x - 7*x + 4. Suppose 19*o = -8*o + 46 - 100. Determine o*u(m) - 5*d(m).\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 166451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -8*t**5 - 6*t**4 - 25*t**3 - 5*t**2 - 11. Let p(h) = -3*h**5 - 2*h**4 - 9*h**3 - 2*h**2 - 4. Let n(l) = 11*p(l) - 4*z(l). Factor n(q).\nAnswer: -q**2*(q - 2)*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 19*j**2 - 1. What are the prime factors of p(-1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - 5*a - 3. Let t be g(-2). Suppose 9*h - 92 = -t. Solve 1 = 2*q - h for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 4*s = 8, 0 = -204457*c + 204462*c - 13*s - 46 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1164 divided by 291.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 583\/5 + -117. Let o be (6\/9)\/((-2)\/(-6)). Suppose o*y + 0 = 2. Is y < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 330 and 215270.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127200.\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137045835 is divided by 4420833?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: Calculate 2831220.9*0.02.\nAnswer: 56624.418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of 17*z**5\/60 - z**2. Let n(h) = 263*h**2 + 10 - 264*h**2 - 4. Let c(y) = -2. Let s(d) = 3*c(d) + n(d). Calculate s(f(p)).\nAnswer: -289*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5402387, -43219052, -145864267, -345752306, -675297443?\nAnswer: -1166913952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 152272736 divided by 16?\nAnswer: 9517046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/3470 and 62\/478242687?\nAnswer: 4782426870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -204700 divided by -40940.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -14*y**3 + 11*y + 11. Let w(m) = 3*m**3 - 2*m - 2. Let l be (1 + 2 + -1)\/2*11. What is l*w(h) + 2*j(h)?\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a. Let j(o) = -1 - o**2 + o + 0*o + 0*o. Let q(k) = 7*k**2 - 8*k + 6. Let p(r) = -6*j(r) - q(r). Give -2*i(m) + p(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**3 + 0*p**3 + p**3 + 0*p**3 - 5*p**3 + 4*p**3 + (p - 2*p**2 - p)*(-3*p + 0*p + p) - 2*p + 2*p**3 + 2*p + (-2*p - 5*p + 4*p)*(3*p**2 + 2*p**2 + p**2).\nAnswer: -11*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2d8 (base 16) to base 13.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 783*j + 650 = 718*j for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148506.\nAnswer: 2, 3, 53, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1164, 1160, 1154, 1146, 1136, 1124?\n\"Answer: -c**2 - c + 1166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2*m - 1 + (66*m - 7 + 0 + 8)*(-3 - 4 + 0) in the form u + a*m and give a.\nAnswer: -464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c*j**2*s - c*j*s + 37*c*s**2 - 2*j**3*s + 4*j**2*s**2 + 3*j wrt j?\nAnswer: 4*c*s - 12*j*s + 8*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + -1 - 16\/8) + 16. Solve 0 = -b + 4*b + p for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15560 + -108919\/7. Which is the closest to 0? (a) 61\/4 (b) x (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1817230 + -1288330. What is s rounded to the nearest ten thousand?\nAnswer: 530000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 6*l**2 - 9*l. Let n be g(-4). Suppose 0 = -2*c + 5*a + 25, c + 2*a = a - 5. Solve n*o - 8 = -c*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8\/5 or -944?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -4, 5, 41 in ascending order.\nAnswer: -4, 2\/11, 5, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 e when three letters picked without replacement from {m: 1, w: 2, o: 1, e: 2, u: 2, c: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96 (base 13) to base 11.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r - 18 + 12 - 7. Let l be t(-18). Solve -10 = 5*y - l for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*t - 7 = 3*v, 0 = -5*v - 5*t - 10. Let n = 6 + v. Let p(q) = 8*q**2 - 4*q. Let d be p(n). Round d to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 20*p**5 + 132*p**4 + 284*p**3 + 204*p**2 - 16*p - 48 = 0?\nAnswer: -3, -2, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84163, 84173, 84197, 84241, 84311, 84413, 84553, 84737?\nAnswer: 84971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -44.5 bigger than -0.29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + n + 4 = -n, 3*n = l - 16. Find the first derivative of -r**4 - 1 + 2*r**l + 5*r**4 wrt r.\nAnswer: 24*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**3 - h**2. Let i be q(-1). Let l = i - -3. Suppose -2*v = 4*m - 12, -3*m = 2*m + 10. Calculate the least common multiple of l and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/5 and 64\/27?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 3\/4199, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*o - 3*h - 6, -h = -4*o + 13. Let j = 2 - 1. Which is greater: o or j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 9207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 9:02 AM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1043, 4407, 10019, 17885, 28011, 40403?\n\"Answer: x**3 + 1118*x**2 + 3*x - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -g**3\/3 + 9*g**2\/2 - 5*g + 3. Suppose o = -5*y + 37, 2*y - 2*o - 9 = 1. What is the units digit of m(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 558\/15 + (-2)\/10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + -3 - (103 + -123)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 133 - 213. Let k = 23 + z. Let w = k - -57.0000033. Round w to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 - 3114*o.\nAnswer: 2*o*(o - 1557)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-781*f**2 + 1380*f**2 - 768*f**2)*(f**2 + 3*f**2 - 3*f**2).\nAnswer: -169*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -866067.71104 - 0.02918?\nAnswer: -866067.74022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 16*x**2 + 13. Let a be w(-16). Suppose -a*z + 20 = -110. Solve 8*b - 2 = z*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4485.\nAnswer: 3, 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*t + 20*t + 4*x = -6, t = -4*x + 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 16*g - 4. Let u be r(0). What is the closest to -0.05 in u, 1\/8, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -9*m + 11. Let y(j) = -8*j + 10. Let b(k) = -2*v(k) + 3*y(k). Let c = 15 - 13. Let w(s) = 5 - 7*s - c + 5*s. What is -6*b(f) + 17*w(f)?\nAnswer: 2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/13 (b) 0.3 (c) 2 (d) 4 (e) 12 (f) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9541*f - 2762 - 3536 = 9675*f for f.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -45.187 to 0 decimal places.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1409175595.\nAnswer: 5, 2843, 99133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 6 = 4*r. Let w(t) = 9*t - 7. What are the prime factors of w(r)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 - -3.5?\nAnswer: -62.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 13*j**2 - j - 15. Let r be z(-13). Suppose -4*l + 0*s + 23 = 5*s, 2*l - 17 = 3*s. Let m = r + l. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42 + 41.8. Let y = n + 0.1924. Round y to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4034029290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (266\/24 + -11)*1*4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*c - 110 = 77*c for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2224, 4494, 6764, 9034, 11304, 13574?\nAnswer: 15844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-21) + 20\/231.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 1 = -2*u. Let j(y) be the third derivative of -83*y**4\/12 + 3*y**3\/2 + 6*y**2. Is j(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 22. Let c = z + 9. Suppose -c = -2*w - 4. Is 7 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0.5 (b) 90 (c) -3 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 687.5795 weeks to nanoseconds.\nAnswer: 415848081600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.7 + -5.7. Let g = o + 5.1. Which is smaller: -9 or g?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7548 - -9129?\nAnswer: 16677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 3*d**4 - 9192*d**3 + 55080*d**2 - 110112*d + 73392 = 0.\nAnswer: 2, 3058","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 5*h - 25, f - 2*h = -0*f + 26. Suppose -3*q + f = -2*v + 8, -5*q - 3*v = -1. Let r be -3*(-1 - -1 - q). Solve w = 3*w + r for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/44)\/(14\/1309)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-17)\/i**(-2\/41) assuming i is positive.\nAnswer: i**(-695\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + (-68 + -2 - (3 + 43 + -60)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of o**4\/6 - 2*o**2 + 12*o. Let l be u(2). Let p be l\/(-3)*(-270)\/72. Solve 3*z = p*j - 32, -5*z + 2*j + 2*j - 36 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -37*a**3 + 3*a**2 + 4*a - 4. Let k(m) = 37*m**3 - 4*m**2 - 5*m + 5. Calculate 4*k(f) + 5*y(f).\nAnswer: -37*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -8, 10*h = 3*y + 6*h - 31 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6225*l**2\/2 - 5981*l\/2 - 122.\nAnswer: (l - 1)*(6225*l + 244)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 722314.7 litres in millilitres?\nAnswer: 722314700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 44*z + 705 - 79*z - 296*z - 262*z - 201 with respect to z.\nAnswer: -593","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 4, -4, 12, -3 in decreasing order.\nAnswer: 12, 4, 1, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) 0.4 (c) 18 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/1059, 5\/4, 4, -2 in increasing order.\nAnswer: -2, 2\/1059, 5\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 11*f**3 - 5*f**2 - 5*f + 5. Suppose 3*o + 5*n + 2 = 0, -2*o - 8 = -4*n + 8. Let z(y) = 11*y**3 - 4*y**2 - 4*y + 4. Give o*k(r) + 5*z(r).\nAnswer: 11*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*l - 46 = -2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 113.1 - 113. Let f = 0.08 + 0.12. Let v(y) = -y - 1. Let m be v(-4). Which is the third smallest value? (a) h (b) m (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3718*-2.\nAnswer: -7436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 2*u = -0 + 1, c - 2*u - 9 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 2*x**2 + x + 1. Let d be t(4). Let u(o) = d*o - 79*o + 2 + 41*o. Let h be 0\/1*5\/5. Give u(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42864 at most as big as -69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 6*g - 1. Let w be k(5). Let d be 2*(w + -6)*(-33)\/4. What is the highest common factor of d and 363?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -2\/9 (c) -45 (d) 1 (e) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a80 + 2cc?\nAnswer: 107c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2128, 2154, 2206, 2290, 2412, 2578?\nAnswer: 2794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -914 - -929. Let t(k) be the second derivative of 1\/6*k**3 + 0 + 0*k**2 - 7\/12*k**4 - b*k. Calculate t(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -8. Let z = -11 + 15. Let u = -3 + z. Which is the second biggest value? (a) u (b) r (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(264)*-2)\/sqrt(8))\/(1*-1*sqrt(3)) + (sqrt(275) + sqrt(275)*-2 + 3 - (3*-1*sqrt(275) + sqrt(275)))**2.\nAnswer: 32*sqrt(11) + 284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5483939247 + 1243918599. Let k = -4240020688.00000062 - s. Let y = k + 40. Round y to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/558 and -79\/450.\nAnswer: 13950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 2532?\nAnswer: -2530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-18)*8235\/732*-12.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10934565881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*h**3 + 26*h**3 - 15*h**3 + (-2*h + 7*h - 3*h)*(-5*h**2 + 4*h**2 - h**2) + 5*h**2 - 5*h**2 - 4*h**3 + 47*h**3 + 6*h**3 + 2*h**3.\nAnswer: 45*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4723, -4, -53, 4 in increasing order.\nAnswer: -53, -4, 4, 4723","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.175179 grams to tonnes.\nAnswer: 0.000007175179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 7:44 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from {e: 2, m: 7}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j - 1. Let q(g) = -8*g**2 - 9*g + 2. Let s(k) = 7*k**2 + 8*k - 2. Let d(n) = 5*q(n) + 6*s(n). Calculate 2*d(u) - 6*i(u).\nAnswer: 4*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 3*z = 4*h + 40, 0 = -z + 4*h + 8. What is the lowest common multiple of 62 and z?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of 22*j**5\/5 + j**4\/2 - 29*j**3\/3 - 53. Find the third derivative of n(c) wrt c.\nAnswer: 528*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -869 - -1213. Calculate the remainder when m is divided by 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((8 - 36) + 93 + -29)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 348*j - 965. Calculate the remainder when 1577 is divided by h(3).\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*o**4 - o**4 - 5 - o**3 - 26458*o + 26457*o in the form c*o**4 + m*o**3 + q*o + l*o**2 + t and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 at most as big as 61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 380*f**2 + 57*f - 57. Let t(n) = 27*n**2 + 4*n - 4. Give -4*m(g) + 57*t(g).\nAnswer: 19*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 875395999?\nAnswer: 875395999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 149135697?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + 8*r - 1. Let o be c(7). Let q = o - -1. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 27\/2 + (-1)\/(-2). Let g be 141*(-4)\/40 - (-16)\/160. Let w = u + g. Is w equal to 3\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3158 a factor of 363068944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 482418 divided by 185\nAnswer: 482418\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d - 86c62d?\nAnswer: -86c620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -427*r - 2137. Let o be k(-5). Is o != -102\/55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 10:59 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 7*v**2 + 13*v - 2. Let l be x(-8). Let t = 66 + l. Suppose t = o - 45. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from orurbbrkbkrubrbrbb. What is prob of sequence kru?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/48)\/((-13)\/(-156)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/140 and -61\/1858585.\nAnswer: 52040380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -22 + -1 + (15 - 6) - (-2 - -10).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5 = l, 0 = k - 0 + 2. Sort -5, -2, 0, l in descending order.\nAnswer: 0, -2, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259678781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 34 = -482. Let p be (0 - 4 - -7) + (2*85 - 1). Let k = p - u. Round k to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14523*f**2 - 58080*f**2 + 14521*f**2 + 14519*f**2 + 14514*f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -91 in -2\/9, 1\/3, -3\/10, 4?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 132873111 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 568 = 4*h - 2*f, -2*h = 5529*f - 5531*f - 282. What is the greatest common divisor of h and 949?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 343704192.\nAnswer: 2, 3, 13, 31, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3 = -0. Let z(s) = s**2 - 15*s + 16. Let u be z(14). Suppose -u = l*k - 26. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -570451*t + 570449. Give h(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*((-77)\/11)\/56*(-34)\/(-10).\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-18))\/(-4)*(-2704)\/5408.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of i**4\/24 + 13*i**3\/6 + 3*i**2. Let l be d(-8). Solve 5*w + 10 = -l for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 640 and 16448.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 (base 14) in base 8?\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-8)*9\/(54\/(-6))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2734 + -6004. Round g to the nearest one hundred.\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*j**2\/2 + 800*j + 652125\/2 = 0. What is j?\nAnswer: -235, 555","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 135302*i**2*p - i*p - 2*i + 2*p + 378184 wrt i.\nAnswer: 270604*i*p - p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, g: 13, j: 5}. What is prob of sequence fjg?\nAnswer: 13\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(2\/27)*t)**(-22))**(-20))**43 assuming t is positive.\nAnswer: t**(548680\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*x**2 + 167*x**2 - 317 - 430 + 747.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1306482 is divided by 68?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**5 - 3*i**5 + i**5 + (-5*i + 2*i + 2*i)*(-3*i**4 + 2*i**2 - 2*i**2) - 2*i**5 + 3*i**5 - 3*i**5.\nAnswer: 2*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 212 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183273*b - 7*b**2 - 366552*b + 183279*b.\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 - 6*a - 6. Let g be o(-4). Suppose -2*m - 145 = -2*x + 3*m, g*x - 2*m - 142 = 0. What is the highest common factor of x and 245?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 237589935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5069468 and 2516.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -z**2 + 460*z - 459 = 0.\nAnswer: 1, 459","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 8:37 AM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 696727*u**4 - 660025*u?\nAnswer: 8360724*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(32) + -5).\nAnswer: -16*sqrt(2) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2110 and 14770.\nAnswer: 14770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-34))**(-2\/17) assuming d is positive.\nAnswer: d**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2937, 2991, 3041, 3099, 3177, 3287?\n\"Answer: 2*d**3 - 14*d**2 + 82*d + 2867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 77 + -229\/3. Let m(u) = u - 11. Let z be 1\/(-1) - 55\/(-5). Let r be m(z). Put x, -0.3, r in descending order.\nAnswer: x, -0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (43 + 5)*(-3 - (-135)\/40) - -5?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2))**(-6\/19))**(-7\/2)*(z\/z**(-2\/7)*z)**37\/((z\/z**2)\/(((z**(5\/4)*z)\/z)\/z)) assuming z is positive.\nAnswer: z**(44481\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 93496 and 5456?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 546 - 236. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 4 - 1)*(3*h - 2*h + h) + 15*h - 46*h - 51*h)*(-56*h**2 - 30*h**2 + 25*h**2).\nAnswer: 4880*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 134\/595 + -3\/119. Let w = -8\/5 - -2. Let v = 289 - 291. What is the nearest to 0 in w, v, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -23*g**2\/7 + 2*g\/7 = 0. What is g?\nAnswer: 0, 2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4*1*(-3710)\/20. Suppose -6*f + 3*f - 710 = -2*y, 2*y + 5*f - p = 0. Suppose 2*w - y = -117. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-25411347)\/21)\/(-3) + 128\/448 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/595 and 68\/21.\nAnswer: 1785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -203 - -4?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) - (sqrt(210)*2)\/sqrt(6))\/(sqrt(252) - (sqrt(252) - (2*sqrt(252) + sqrt(252)))))**2.\nAnswer: 5\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -219.37 - -219. Which is smaller: 1\/5 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -2)\/1 - 16\/(-12)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 4*q**2 - q + 4. Let x(f) = -f**3 + 7*f**2 - f + 7. Suppose -8*y + 23 = 5*v - 9*y, 2*v + 4 = -4*y. Determine v*x(g) - 7*m(g).\nAnswer: 3*g**3 + 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 57 and 1503.9.\nAnswer: 85722.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 167942181 a multiple of 543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21120110 + -101?\nAnswer: -21120211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ox when two letters picked without replacement from xxyyyyooy?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/214952 and -25\/4268.\nAnswer: 2364472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1827903*x - 1872634.\nAnswer: 1827903","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 14 = 6*z. Let f(w) = 2*w**2 - 12*w - 10. Let a be f(z). Suppose -n - 2 + 5 = 0. Solve -b + d = n*d - 11, a*d - 12 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 1.5. Let y = 0.2 + -0.2. Suppose 28*w + 30*w = -116. What is the closest to y in w, k, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**2 + 1877010*d + 11262240.\nAnswer: -5*(d - 375408)*(d + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5432290 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 1 w and 1 s when two letters picked without replacement from {w: 1, s: 1, t: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/6 and -49\/164.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1151 and 76227?\nAnswer: -87737277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151 = 4*u - 3*s, 1221*s - 1220*s = 3*u - 117 for u.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - (-6)\/(-2))\/(-4). Suppose -5*z - 49 - 61 = a. Let g be (-4)\/z + (-748)\/121. Let p(f) = -f**2 - 7*f - 1. Give p(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 5*j = 150. What is the units digit of (j\/4)\/((-1)\/(-82))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*(4\/(-2))\/2. Let d = n - -5. Solve 3*t - d = -5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 666 = 1160. Let m = 205 - h. Calculate the remainder when 155 is divided by m.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13b (base 14) to base 9\nAnswer: -306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -5*r**3 + 23*r**2 - 601*r + 1729. Give m(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 - 20 - (99 + -6) - (-22 - (-16 + 4)).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 (base 15) in base 11?\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 5) to base 13\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -6 - 2 + k + 3 - 2. Let t = 11 - 6. Give s(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 5*s + 3. Let z(p) = -4*p - 2. Let u(j) = -3*g(j) - 4*z(j). Let t be u(3). Solve 10 = -0*i - t*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 654, -5, 4, 1, 3.\nAnswer: -5, 0, 1, 3, 4, 654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -335 + 209 - 122 - 41*q.\nAnswer: -41*q - 248","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -260*q**3 - 282*q**3 + 412*q**3.\nAnswer: -130*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -56.9026 - -0.0376. Let y = -57 - g. Round y to two decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/443 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 6\/5 (c) -14 (d) -128992\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 1. Suppose a = -2*w + 3*w - 10. Suppose -2*r = -w - 6. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1262 not equal to 1263?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 207 - 167 - (4 - (-1 + (8 - -1))).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 2)\/(-2) + 3\/(-12)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3*sqrt(130)*-4 + sqrt(130) + -2*3*sqrt(130))\/(-3*sqrt(60)\/sqrt(6) - (sqrt(10) + sqrt(160)*-4)).\nAnswer: -7*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - 1) + -51 + 46 - 4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 3:15 AM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -52*r - 4*r**2 + 52*r + (-4*r - r + r)*(r - 2*r + 2*r) - r**2 + 3*r**2 - r**2.\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 153\/19 - 708\/95. Factor -s*a**2 - 12\/5 + 12\/5*a.\nAnswer: -3*(a - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -28*q**3\/3 + 1. Let v(b) be the first derivative of b**2\/2 - 6772. Give d(v(s)).\nAnswer: -28*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 8, h: 5}. What is prob of picking 2 h?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3434472197.\nAnswer: 13, 107, 2469067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -0*t + 20. Let h = t + 4. Solve 0 = -4*y + k - 9, h = -2*y + 4*k - 9 + 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -c**5\/80 + 9*c**4\/16 - 4*c**3 - 6*c**2 - 31*c. Determine m so that a(m) = 0.\nAnswer: 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -7 (c) -3\/85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 3:02 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 z, and 1 v when three letters picked without replacement from bmvjuuuzbmmjbujv?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, k: 1, b: 1, p: 1, e: 2, q: 2}. What is prob of picking 1 i, 1 q, and 1 e?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00016932 to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1615 + 7533b?\nAnswer: 73926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j\/j**(-24)*j)\/j)\/(j\/j**(7\/4)))\/(j**(-22)*j*j*j**(-1\/19)*j) assuming j is positive.\nAnswer: j**(3481\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -4\/69865103 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k + 388 - 354 = 0. Sort k, -3, 32, -2 in ascending order.\nAnswer: -3, -2, k, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -q. Let d = q + 0. Let l(y) = 1803*y - 5*y**3 - 3609*y + 1806*y + 6*y**3. Give l(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -114, -48, 202, 654, 1326, 2236, 3402?\nAnswer: 4842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -695, -1397, -2095, -2789, -3479, -4165?\n\"Answer: 2*z**2 - 708*z + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*y**5 - 1395239*y**4 - y**3 + 2137725*y**2 wrt y.\nAnswer: -240*y**2 - 33485736*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + -1*(-2 - 3). Suppose y = -q*j + 30, -y = j - 4*j + 5. Is (y\/(-25))\/(2\/(-90)) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10792 + -10794. What is the closest to -5\/7 in -1\/15, a, 0, 1?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c - 6. Let x be u(0). Is 3\/(-2)*268\/x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -83157 (base 10) to base 8.\nAnswer: -242325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-408)\/(-272)*((-560)\/63 - -1)*6?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -188 and -982158705.\nAnswer: -982158893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -7 (b) 0 (c) 1\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 12958811, 12958829, 12958869, 12958937, 12959039?\n\"Answer: r**3 + 5*r**2 - 4*r + 12958809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2747 - -2755. Let f(z) be the third derivative of -z**5\/60 - 7*z**4\/12 - 11*z**3\/6 + 2*z**2. What is the remainder when f(-10) is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2 + sqrt(1100))*4 + -2 + sqrt(11)*-2 + 3.\nAnswer: -4 + 38*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 676 divide 16749252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28.3 - -29.3. Is 0.23 at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 + 1)\/((-4)\/52). Suppose -h = 21 - o. Let j(k) be the second derivative of -k**4\/12 + 7*k**3\/6 - 2*k. Calculate j(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**3\/13 - 220*t**2\/13 = 0 for t.\nAnswer: 0, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 99898121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*4 + ((-23084)\/(-1194))\/((-2)\/(-1)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -10. Let r be -1*(24\/(-36) + 11\/12). Which is the second smallest value? (a) q (b) r (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/90 and -143\/1350?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7900439, -15800871, -23701297, -31601711, -39502107, -47402479?\nAnswer: -55302821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (2 - 10\/(-1)) + -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**3 + 5*z + z**2 - 4*z + z**4 + 3*z**3 to t*z**3 + h*z + w*z**4 + k + g*z**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.7 - 0.7. Let j = -6 + r. Let s = j - -4. Which is the second smallest value? (a) -0.1 (b) s (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 3*o - 35. Suppose o*k - 2 = 3*g, -16 = -3*k - k. What is the highest common factor of g and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 + 124 = -9*w. Let o = 22 + w. Let l(y) = 3*y**2 - 4*y**o - y**3 + 36*y - 9 - 35*y. Calculate l(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 12*s**2 + 10*s - 5. Let r be w(-10). Let a be 7*15\/280 - (-550)\/(-16). Let y = a + r. What are the prime factors of y?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -17*b**2\/2 + 4*b - 27. Let n(f) = -6*f**2 + f. Let q be n(1). Is j(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 160*p + 2510. Calculate h(-15).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36 by 802.\nAnswer: 18\/401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p**2 + 5*p. Let h be j(8). Calculate the remainder when (12\/8)\/(6\/h) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1007789 a multiple of 189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(396)*-2 + sqrt(396))**2*-2 + 0.\nAnswer: -800 - 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6783*l**2 + 627*l**2 + 3 - 6*l**3 + 7*l - 5.\nAnswer: -6*l**3 - 6156*l**2 + 7*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*u + 89*u - 193*u + 2 = 2*z, 6*z - 4*u = 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 16 = 4*n, 2*v + 3*n = -805 + 794 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c + 2*g + 3, -c - 4*g + 2652 = 2637 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bozjjbybybbj. What is prob of picking 1 b, 1 j, and 2 y?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 403 is divided by 203?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4915.\nAnswer: 5, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 5*l = 18, -16 = -4*y + 2*y - l. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3456 and 81?\nAnswer: 10368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12625 and 7171.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 1022.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*s**3 + 162*s + 77*s**3 + 40*s**3 + 163*s - 321*s + 37*s**3.\nAnswer: 65*s**3 + 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i + 13. Let x(g) = -g - 12. Let d(v) = -2*w(v) - 3*x(v). What is the remainder when 27 is divided by d(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4*o = -46, 2*o - 17 = -x + 7*o. Let s = -18 + x. Suppose -5*t + 4 = 2*w - 13, -2*w + 4*t + 8 = 0. Calculate the highest common factor of s and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 2156\/(-217) - (1 - (-10)\/(-50)*50)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one halves of a micrometer in nanometers?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*g**3 - 27*g**3 + 17*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wyd when three letters picked without replacement from {y: 3, w: 1, s: 3, d: 8, i: 5}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 273857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152*u + 6*u - 14*u - 14.\nAnswer: -160*u - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 6*v + 7. Calculate d(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 374330477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*w - 10 = 0, -5*w = 3*l + 6 + 6. Suppose 2*a - 9 = -l. Suppose 3*y + 7 = a*y. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 183144 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*n**5 - 15*n**5 + 2*n**2 - 8*n**6 wrt n?\nAnswer: -960*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15884617 by 15407.\nAnswer: 1031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 95216 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*r - 4932 + 4*r - 5*r + 4575 + (0*r - 4*r + 3*r)*(2 - 4 + 4).\nAnswer: -23*r - 357","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 93056833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + 13*w - 2. Calculate the remainder when 65 is divided by n(9).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 14*v - 11*v + 146, -4*z - 4*v - 232 = 13*v + 534 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-1*18))\/((-2)\/18).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 5040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/6*1*(-990)\/(-66)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -783\/2 + 359. What is the common denominator of k and 13\/32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -65135, -132306, -199477, -266648, -333819, -400990?\n\"Answer: -67171*l + 2036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8, -3\/4, 4, -739?\nAnswer: -739","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 47780 (base 9) in base 8?\nAnswer: 76362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.8 - 2.9. Which is the closest to -4? (a) q (b) -10 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3856396 and 772?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 21*s**2 + 10*s + 37. Let c be n(-22). Calculate the greatest common divisor of 14 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*i + 43 + 143. Let c(v) = 8*v**2 - 19*v - 9. Let f be c(i). What is the highest common factor of 30 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178806 is divided by 59538.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1500)*2*1 + 1*-2*sqrt(1500))*4)\/(-5*(1*sqrt(144))\/sqrt(12) + sqrt(72)\/(sqrt(96) + (sqrt(96) - (sqrt(96)*1 - sqrt(96))))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -15*g - 1\/12*g**4 - 8*g**2 - 4*g**3 - 1\/30*g**6 + 3\/10*g**5 - 2. Factor h(z).\nAnswer: -(z - 4)**2*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*b + 1417 = 787 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 10, i: 2}. What is prob of picking 2 s?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ojkko. What is prob of sequence kk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2176.84 * -438.\nAnswer: -953455.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*r**3\/5 - 12*r**2\/5 + 6*r\/5 + 12\/5.\nAnswer: -6*(r - 1)*(r + 1)*(r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 19*j - 18*j + 570, 0 = j - 2*u + 575. Let p = j + 929. What is p rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28132.4 to the nearest 1000.\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 o, and 1 y when three letters picked without replacement from xykko?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 13617*g - 136162. Give q(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2353*3210.\nAnswer: 7553130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - n**2 - 36*n + 93. Let c be a(3). Solve c*h - 3*t = 7*h + 20, -3*h - 5*t = 15 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 66*s**2 - 129*s - 67. Give v(-64).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(-4) - ((-210)\/(-20) + -11)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22039 is divided by 1224.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n. Let r be a(5). List the prime factors of (4\/3)\/(r\/45).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i, r - 10 - 2 = -3*i. Suppose -r - 3 = -3*g. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 467*k + 2. Let d(a) = -50*a**2 + 420*a + 35. Let p(l) = -3*l**2 + 24*l + 2. Let y(m) = -2*d(m) + 35*p(m). Calculate x(y(g)).\nAnswer: -2335*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 577*l - 1149. Give z(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61 + 64. Suppose -4*g - 2*r + 56964 + 23832 = 0, c*g + 5*r - 60590 = 0. What is g rounded to the nearest one thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15 and -4.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 151927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 2*v - 405, -45*v = -3*b - 41*v - 1215. Let i be (-90)\/b + 2 + (-1722)\/783. Is 1 >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1)**(2\/141)*(b*b**(2\/5))**(-4\/37)*((b\/(b\/(b*b**(2\/23))))\/(b*b**(4\/3)\/b*b))**32 assuming b is positive.\nAnswer: b**(-24010934\/599955)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -24, 5, 0, 1 in ascending order.\nAnswer: -24, -3, -2, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-30)\/12)\/(3\/48). Is 32 a factor of ((-936)\/65)\/(6\/b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 93 + -85. Let y(a) = 4*a - 1. Let h be y(2). Which is smaller: h or v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 418420?\nAnswer: 1255260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -227?\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 6*u - 5, -3295*u + 5*f - 5 = -3294*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -809 - -965. Is c a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2663117322 rounded to five dps?\nAnswer: -0.26631","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66634 (base 7) to base 14.\nAnswer: -618b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -129\/96740 and -11\/14?\nAnswer: 96740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5172)\/518 - -10)\/((-30)\/(-105)).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhhh. Give prob of picking 4 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -20*y + 209. Let w be u(-10). Suppose 410*m - 900 = w*m. Is m a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, q: 2, f: 1, x: 1, r: 2, u: 4}. Give prob of picking 2 q.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/9 - (-5)\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.046 less than 7?\nAnswer: 6.954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a - 9. Let h be i(6). Suppose 8*x - 110 = 10. Solve -x = -4*g - h for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -h - 34, 5*h + q = -57 - 71. Let s = h - -31. Suppose 2*g - 113 = -3*j, 0 = 3*j - s*j + 3*g + 108. What is the remainder when j is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2527, -5060, -7605, -10162, -12731, -15312?\n\"Answer: -6*k**2 - 2515*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + a + 1 = 4*h, 3 = -5*h - 3*a. Suppose 0 = -h*b + 5*b. Suppose -j - 1 + 7 = 0. Solve 2*m + b*m + j = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 19. Let t be (-113)\/(-2) - (-1)\/(-2). Calculate the highest common divisor of t and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 4*h + 8. Suppose 4*w + 8 = -i, -5*w - 80 + 25 = 5*i. List the prime factors of k(i).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 64860 - 26618. Suppose 15*c = -6007 + v. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**3\/9 + 8*n**2 - 344*n\/9 - 320\/3 = 0. Calculate n.\nAnswer: -40, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3828*h - 3829*h = 2*q, 3*h - 2*q = -q for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2968 divided by 2\nAnswer: 1484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 83076 and 23736.\nAnswer: 166152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5545*r**4 + 2015*r - 5399*r**4 + 117 - 117 wrt r.\nAnswer: 1752*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o + 8. Let j be n(0). Suppose -4*l - j = -6*l. Determine q so that -10\/7*q**l + 4\/7*q**3 + 2\/7*q - 2\/7 + 12\/7*q**2 - 6\/7*q**5 = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -6*c - 260. What is the lowest common multiple of 20 and m(-67)?\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6185045 (base 9) in base 3?\nAnswer: -20012212001112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5858093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ujjuujj. Give prob of sequence ujuj.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152844.\nAnswer: 2, 3, 47, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44\/(-21) + 192\/144 + (-2)\/(-6)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 79 - 87. Let g = s - -12. Suppose 152 = g*o - 732. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24 + 9 - -20 - -5) + 4?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/n**3*n))\/n**(1\/6)*((n**(-1\/3)\/n*n)\/n*n)**7)\/((n*n\/(n**(1\/2)*n))**(-31))**16 assuming n is positive.\nAnswer: n**(495\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 9 - 3 = 0. Let q(u) = 5*u**2 - u - 4*u**2 - 2 + 3 + f*u**3. Let p be 2\/6 - 25\/(-15) - 1. Calculate q(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/17 in -4, 3, -3\/4, -5\/19?\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 3 = -3*s + 6*s, 5 = -3*v + 5*s for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xd when two letters picked without replacement from fpggdgrggxxgxggr.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -l**8\/6720 + l**7\/504 + l**6\/120 + l**5\/120 + 7*l**4\/6 - 16*l. Let i(n) be the third derivative of y(n). What is i(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - 9*b + 7. Let j(a) = -a**2 - 8*a + 7. Let z(f) = 3*j(f) - 2*r(f). Suppose -8*g = -3*g + 30. Calculate z(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 900 = b - 4*u, -5*b - 5*u = -2295. Let c = 1919 - b. Let p = c - 642. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 66 - 45. Let j = x + -7. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5432)\/924*3531\/(-214)\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3153 + 3153 - 2143*k**2 + k - k to o*k**2 + s*k + x and give o.\nAnswer: -2143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1303466 = 36*t - 126822 + 73304. List the prime factors of t.\nAnswer: 2, 47, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 2*i + 3. Let j be q(2). Let u(r) = -r**2 - r + 3. Let k(y) = y**2 - 1. Let m(h) = j*k(h) + u(h). What is the second derivative of m(g) wrt g?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2147218, -2147219, -2147220, -2147221, -2147222, -2147223?\n\"Answer: -b - 2147217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -19, -2\/9, -2\/17, 2\/5, -0.12, -1\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of z**5\/180 - 5*z**4\/12 + 25*z**3\/2 - 375*z**2\/2 + 3*z - 8. Suppose n(y) = 0. Calculate y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2736336\/(-37656))\/(1\/((-4)\/16*-6))?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/138316185 and 16\/395703?\nAnswer: 1521478035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 + 1.7. Let h = -0.2 - 0.2. What is the third biggest value in o, -4, h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, w: 1, t: 2, f: 1, i: 1}. What is prob of picking 1 w, 1 t, and 1 f?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162 is divided by 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2788.38 rounded to the nearest 10?\nAnswer: -2790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s + 42. Let o(r) be the second derivative of -r**3\/6 + 9*r - 2. What is o(a(d))?\nAnswer: -d - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -32*a**3 + 33 - 17 - 35 - 16 wrt a?\nAnswer: -96*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -592, -1183, -1774?\n\"Answer: -591*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + (-3)\/((-3)\/(-2)). Let s = 95 + -29. Let i = -332\/5 + s. What is the closest to 2\/7 in i, -5, m?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -634*b - 1507*b - 14987 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -328, -3, 7, -4, 0, -5 in decreasing order.\nAnswer: 7, 1, 0, -3, -4, -5, -328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 1)*(-3 + 2 + 4)*(-4*g + 4*g - 2*g + (-239*g - 133*g - 47*g)*(0 - 3 + 1)) to the form h + y*g and give y.\nAnswer: 5016","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -3. Let u = x + 8. Solve -n - 3 = -2*c, -u*n + 3*n = c - 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 + 17*s + 13. Let w be y(-8). Solve -3*k + 8 = 4*h, -w*k - 4 = -3*k - 2*h for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3752 less than 146?\nAnswer: 146.3752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3 + 22*h**2 - 14*h - 294.\nAnswer: -2*(h - 7)**2*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 2 + (1 - 2). Suppose -2*o + 3*o - q = d, 2*o = -3*d + 27. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s**2. Let j(p) = 15*p**2. Let w(z) = 21*g(z) + 4*j(z). Let x(d) = -42*d + 13. Determine x(w(y)).\nAnswer: 126*y**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -18635.05 take away 686980?\nAnswer: -705615.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 4*b**2 + 9. Give p(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2439325050.\nAnswer: 2, 3, 5, 16262167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i. Let d(t) = -9*t. Determine d(x) + 6*n(x).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 364135338 to the power of 1\/3, to the nearest integer?\nAnswer: 714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6711 + -4223. Is k\/24 - (-1)\/3 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1042, -1, -1\/24, -9.\nAnswer: -1042, -9, -1, -1\/24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*((-6)\/12 - 0)*-28. Suppose 10*k = a*k - 4410. Is 99 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q - 15*q + 7*q)*(0 + 1 - 3)*(-24*q - 31*q + 8*q).\nAnswer: -1222*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -139 + 692\/5. What is the third biggest value in 16, 2\/7, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + u + 7 = 0, 0 = 44*d - 45*d - 3*u - 11 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 0.9 (b) 0.17 (c) 0 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5120, -20464, -46032, -81818, -127816, -184020, -250424?\n\"Answer: t**3 - 5118*t**2 + 3*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000000716419 rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*c = -381 - 375. Which is greater: c or -240?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggrgrrrgrrgrgrrorggg. What is prob of picking 4 r?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s - 15. Let m be p(6). Suppose 2*c - 1450008 = -a, -m*a - 615545 = 5*c - 4965565. Round a to the nearest 100000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 284 and 0.1.\nAnswer: 28.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h - 3 + 5*h**2 + 0*h**2 + 2*h**2 + h**3. What is the tens digit of n(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -5. Suppose 5*p + 12 = 11*p. Suppose -6 = -t - p*s, -t + 2*s = 1 - 3. Solve t*f - 26 = 2*w + c*w, -5*w = 4*f - 6 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 210 - 211. What is the nearest to a in -0.5, 0, 389?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1142 + 1124 + (0 - -51)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-402014)\/16*(80 + -88) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 7*u + 6. Determine y(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/25713 and -59\/2242745.\nAnswer: 20184705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 149 and 5.\nAnswer: 745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 55*v - 5. Let j be n(0). Suppose -1 = u - 2. Suppose -2*i + 5*a = 16 + 15, i = 2*a - 13. Put u, i, j in ascending order.\nAnswer: j, i, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-4) + 4)\/((-1)\/2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 749*y + 10485. Calculate b(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*p**2 - 82*p**2 + 49*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -240\/12962003 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -6, m - 334 = -2*j - 2*j. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -53*p + 52*p + f + 11, -2*p = f - 16 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 682597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6992, -13955, -20918, -27881, -34844?\n\"Answer: -6963*x - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k**3 + 3*k**3 - 12*k**3)*(-2 - 2 + 7)*(4 + 1 + 0) in the form b*k**2 + c*k**3 + x*k + w and give c.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -44 in 0.27, 1\/2, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3917241, -15668948, -35255121, -62675760?\n\"Answer: -3917233*g**2 - 8*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1391*h**4 + 16216*h**2 wrt h.\nAnswer: -33384*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -v**4 + 3292674*v**2 - 509595772*v wrt v?\nAnswer: -12*v**2 + 6585348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggiiltgtgtitggtgii. Give prob of sequence tlii.\nAnswer: 5\/3672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -f**5\/60 - 5*f**4\/12 + f**3\/3 - f**2 + 7*f + 71. Let h(b) be the second derivative of j(b). Give h(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 128 and 1664.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 11) to base 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 1 - 6*o**2 - 5*o + o**2 + 2 - 5 + 7*o. Let c(p) = p**2 - p + 1. Let v(s) = -s**3 - 10*s**2 + 11*s - 1. Let w be v(-11). Determine w*z(u) - 2*c(u).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 64 - 66. Let b be (-4)\/(-11)*(-1)\/2. Sort b, -0.1, x.\nAnswer: x, b, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 57 - 40. Which is bigger: 16 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 84652?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from beqwaka?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/63, 2\/5, -2, -13.1697 in increasing order.\nAnswer: -13.1697, -2, 2\/63, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 167483*x + 47 - 10 - 635906*x. Let r(m) = -2*m**2 + 35*m + 2. Let f be r(17). Let k be n(f). What is k rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/9 (b) -0.1 (c) 76819 (d) 0.2 (e) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2414440 = 7699816. Suppose 8292688 = -5*m + n. Round m to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 1. Let d(t) = -626250*t**3 + 6*t**2 + 4*t + 9. Let i(u) = -d(u) + 5*f(u). Let h be i(-2). Round h to the nearest one hundred thousand.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -889, 197, 0, 4 in descending order.\nAnswer: 197, 4, 0, -889","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d**2 - d. Let j(n) = n**2 - 19*n + 60. Let t be j(15). Suppose -4*f = x, 0 = -4*f - t*f + 5*x - 24. Give q(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5122 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, -6, -20, -34?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6418.722t?\nAnswer: 6418722000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/31217270 and -91\/1783844.\nAnswer: 62434540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 296365092?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.8785 rounded to two dps?\nAnswer: 4.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -410 - -20010?\nAnswer: 1da00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22007719.\nAnswer: 19, 1158301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -15 - -5 - -8 - -5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -65*m**3 + 3915*m**2 - 12015*m + 2565.\nAnswer: -5*(m - 57)*(m - 3)*(13*m - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 a when two letters picked without replacement from nnbgyniaiig.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1309589.\nAnswer: 1309589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-10)*(-90)\/(-144)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 13*k. Let v be x(-13). Suppose 0 = -v*a + 2*a - 3*o - 1775, -4500 = -5*a - 5*o. List the prime factors of a.\nAnswer: 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181563.\nAnswer: 3, 60521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6145631.\nAnswer: 6145631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1327391 - -0.5?\nAnswer: -1327390.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17.901 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 387.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -422 - 1312 = 102*s for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42201 divided by 1.\nAnswer: -42201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 3353 + 1443 = 0. Let v = -759 - i. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 1451?\nAnswer: 1450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4880807 is divided by 1104?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 479954, 479957, 479962, 479969, 479978, 479989?\n\"Answer: z**2 + 479953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of 98*u**5\/5 - 5*u**4\/4 + 2852*u**3\/3 - 3047. What is the third derivative of v(i) wrt i?\nAnswer: 2352*i - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, x: 12, n: 2}. Give prob of picking 1 x and 1 d.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -426 (b) -1 (c) -57 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11147687\/125 + -89181. What is the common denominator of 22\/25 and i?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 114\/(-24) + 5 + 6\/8. Let n be (4 - (k + -3)) + 2\/(-2). Suppose 3*h - n*i = -13200, -i = 2*h - 0*i + 8800. Round h to the nearest 100.\nAnswer: -4400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.9 + -2.9. What is the closest to -1 in -1\/16, -2\/5, y?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/3540 and 163\/3540?\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -44434 or -44473?\nAnswer: -44434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -8*b + 2. Suppose -15 = 5*o - 5*t, 5*o + t + 2 = -1. Let c(j) = j. Suppose -13*a + 61 - 191 = 0. Calculate a*c(h) + o*x(h).\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 6*a**2 - 58*a - 89. Let v be m(12). Solve -v = 77*c - 541 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**4\/7 - 13458*t**3\/7 + 16788783*t**2\/7 - 3803311548*t\/7 + 239598453708\/7 = 0 for t.\nAnswer: 134, 2109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/2, -0.5, -17\/4, -0.4, 6, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.4 - -8.4. Let w = -12 + k. Let y = 142\/3 + -46. Which is the second smallest value? (a) y (b) -2\/11 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 12:53 AM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2291061994.\nAnswer: 2, 13, 2683, 32843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -72*h**2 + 90 wrt h?\nAnswer: -144*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 10*o. Calculate g(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-10) - (-4482)\/(-830). Let n = 5 - 7. Put -4, 5, h, n in decreasing order.\nAnswer: 5, n, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -615, -609, -603, -597?\n\"Answer: 6*d - 621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 938440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -448*t**2 + 300*t + 12. Let n(j) = 447*j**2 - 299*j - 10. Let c(k) = 5*l(k) + 6*n(k). What is the second derivative of c(z) wrt z?\nAnswer: 884","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -58*k**2. Let u(g) = -567229*g**2. Determine u(r(s)).\nAnswer: -1908158356*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w**3 - 2*w**2 + 2. Let q(p) = -7*p**3 + 4*p**2 - 3. Let u(b) = -2*b**2 + 8*b + 955. Let x be u(-20). Determine x*i(h) - 3*q(h).\nAnswer: 6*h**3 - 2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*o + 24 = 0, 2*t + 3*o + 0 = -4. Suppose -5*g - t = -14. What is the units digit of 0 - g - 28\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 654700.7 litres in millilitres?\nAnswer: 654700700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of s**4\/4 + 7*s**3\/3 - 3*s - 1539. Let g be (-4)\/(-6 + 2)*-7. What is y(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9576*j**2 - 4605*j**2 - 4006*j**2.\nAnswer: 965*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 6*v**2 + 2*v**2 - 1 - 3 + 2*v**4 in the form z*v**2 + f*v + m*v**4 + l*v**3 + p and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -9*m - 7. What is p(-6)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mcmcmmm. Give prob of sequence mc.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10910 a multiple of 350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2304)\/(-540) + 1\/(20\/16)*-5?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 0, 0.3, -5, -1\/5 in decreasing order.\nAnswer: 23, 0.3, 0, -1\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7421663.\nAnswer: 23, 223, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7458601516 to the nearest integer?\nAnswer: 86363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**5 - 4*v**3 + v**2 - 4*v. Suppose 5*b - 8 = 3*b. Let k(z) = -z**3 - z. Let f(a) = b*k(a) - i(a). Find the third derivative of f(q) wrt q.\nAnswer: 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -39442016 at most as big as -39442016?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4774225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -684 (b) 0.2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 10 = h, 2*l + 3*l = 3*h - 22. Let d be (3 - 8\/h)*-5. Let k = 13 + d. Calculate the greatest common factor of 8 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 + 30. Let i(t) be the second derivative of t + 5\/6*t**v + 1\/5*t**2 + 2\/3*t**3 + 0. Factor i(h).\nAnswer: 2*(5*h + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 = 8*x - 1133. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, r: 2}. What is prob of picking 2 c?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -194, 202, 1, -11, -2 in decreasing order.\nAnswer: 202, 1, -2, -11, -194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -5547*f**3\/2 - 27219*f**2\/2 + 1284*f - 30 = 0. Calculate f.\nAnswer: -5, 2\/43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + p = 10. Let k(j) = 2*j**2 - 8*j + 7. What is the tens digit of k(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**2 + 84*u - 386. Give s(37).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-3))\/((-8)\/(-24))*-28. Let j = a - 53. Which is bigger: j or -26?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2326 is divided by 739.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -31, -74, -133?\nAnswer: -208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.4989 - 1.5. Round v to 4 dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, -32, -130, -320, -632, -1096, -1742, -2600?\nAnswer: -3700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m + m. Suppose 2*a = 3*a + 3*o - 38, -5*a - o + 204 = m. What is the remainder when a is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63208 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: Simplify (((z*z**(-3))\/z)\/z*z**0)\/(z**(-1\/3))**(-41)*(z**(-2\/3)*z)**(6\/29)\/(z*z**(-1)*z)**(22\/3) assuming z is positive.\nAnswer: z**(-723\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -178775 times 0.3\nAnswer: -53632.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/168)\/(7*7\/98)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -t*w**5 - 2*t - 117*w**5 + 46*w wrt w?\nAnswer: -20*t*w**3 - 2340*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10353032.\nAnswer: 2, 1294129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0052275 rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 191*k**2 - 155*k**2 + 117*k**2.\nAnswer: 153*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2237095565 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 4*v**2 - 8*v**2 + 6*v**2. Let l be 2 - (-3)\/(-3) - -6. Let c(t) = -3*t + 7. Let p(x) = x - 2. Let i(o) = l*p(o) + 2*c(o). What is y(i(b))?\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.3 (b) -3 (c) 28340 (d) 11 (e) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 3\/524, -2, -0.4, -14\/5?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 604385860.\nAnswer: 2, 5, 13, 317, 7333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7111.327 nanometers?\nAnswer: 0.000007111327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h + 68. What is the remainder when n(17) is divided by 24?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 18334099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -502836129 to the nearest one hundred thousand.\nAnswer: -502800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 0.75 (c) 3 (d) 2\/53 (e) -1\/4 (f) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -155*n**2 + 45*n. Let k(v) = -7*v**2 + 2*v. What is -4*b(l) + 90*k(l)?\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -23 + -1?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 2*c - 4, -3*u = 2*u - 4*c - 36. Suppose 0 = d - u*d + 27. Let y(i) = 4*i - 23. What is the units digit of y(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = z - 7, 2*z = 5*h + 23 - 7. Differentiate 12*k**z + 4*k**2 - 20*k**3 + 47 + 7*k**3 wrt k.\nAnswer: -3*k**2 + 8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*b + 7. Let n = -4 - 0. Sort n, -2, b.\nAnswer: n, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 15, n: 5}. What is prob of picking 4 n?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by (24\/(-15))\/(34\/(-255))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*m**6 - 44*m**5 - 5*m**2 - 20*m wrt m.\nAnswer: -240*m**3 - 2640*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4760281, -9520562, -14280843?\n\"Answer: -4760281*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((624\/60)\/13)\/(-126)*7.\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppiiiiiiip. Give prob of picking 2 p and 2 i.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4236 and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -28505*c**2. Let l(h) = 2*h. What is l(v(o))?\nAnswer: -57010*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1628183 to the power of 1\/2, to the nearest integer?\nAnswer: 1276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of h**3\/3 + 9*h**2 - 162*h - 100. List the prime factors of v(16).\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/15*-23486*3\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2018, 2020, 2024, 2030?\n\"Answer: i**2 - i + 2018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4143336010 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 - 31. What is the greatest common factor of s and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 0.14, 6, -5, 2 in ascending order.\nAnswer: -5, 0.14, 0.3, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 972, 1925, 2878, 3831?\nAnswer: 4784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**8)\/l)\/l**(-2)*l**(-8\/9)*l*l*l**4\/l*l assuming l is positive.\nAnswer: l**(136\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 11*u**2 + 3838*u + 30782. What is j(-8)?\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 4*i + 5 - 7, 3 = 2*m + i. Is (-1 + (-47)\/m)*1020\/(-102) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 5, 0.2, 3\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45 - -87. Let y(r) = r**3 - 2*r**2 - 2*r - 2. Let v be y(5). Calculate the greatest common divisor of v and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154061416 (base 7) in base 4?\nAnswer: 213203101012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 110*r**2 - 3*r - 4. What is the tens digit of w(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200 + 11220201?\nAnswer: 11220001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-516)\/(-215))\/((-4)\/(-15))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -190 - -1333\/7. Which is smaller: p or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((73\/292)\/(9\/(-84)))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 5*l = 31, -l + 2 + 5 = w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 0.2, 7, 271?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-3)*12\/(-13 - -1)*-1.\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 462310 is divided by 139?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 2*d**2 - 5*d + 7. Let o(a) = a**3 + a**2 - 4*a + 6. Let z be 1\/(-4) + 57\/(-12). Let y(g) = z*x(g) + 6*o(g). Is y(4) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71.65243384 rounded to three dps?\nAnswer: -71.652","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 54 + -19. Let a be (20\/d)\/((-5)\/(-7)). What is the second biggest value in -4, 4, 3, a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.9 - 6. Let n = -119 - -118. Which is the closest to v? (a) -0.11 (b) n (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -397 and 12.2.\nAnswer: -384.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2259, 8837, 19809, 35175, 54935?\nAnswer: 79089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*f = 71*f + 209 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3 = 4*d. Let j = d + 1. Find the third derivative of q**j + 0*q**2 + 2*q**3 - 5*q**3 wrt q.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 6 = 4*u. Let n = 4 - 1. Solve 10 = -t + 3*a, u*t + a = -n*t + 30 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 50, 76, 122, 194, 298, 440?\nAnswer: 626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 5*v - v - 20 = 0, -3*q - 2*v = -10. Suppose q = -c + 1 - 8. Let z = -2 - c. Solve -z = -y - 3*r, 2*y = -2*y + r - 19 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 32 - 1253?\nAnswer: -1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 944 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: b\"What is the mth term of 4450, 8896, 13332, 17764, 22198, 26640?\n\"Answer: m**3 - 11*m**2 + 4472*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 40*c - 100*c + 39*c + 39*c. Let p(d) = 2*d. Calculate a(p(f)).\nAnswer: 36*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1107 (b) 1 (c) 1.2 (d) 2 (e) 5 (f) 0.02 (g) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 860015.\nAnswer: 5, 13, 101, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 3*t**2 + 4*t - 1. Let w be s(-4). Let m(p) = p + 1. Let b(y) = -1 - 619*y + 203*y + 207*y + 210*y. Determine w*m(n) + 2*b(n).\nAnswer: n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 166084197 to the nearest integer?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -35022735?\nAnswer: 35022742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1271 = -h - 5*r, 2*r = 2*h + h - 3830. Is 29 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4239*p**4 - 9*p - 8513*p**4 + 4231*p**4 + (p**4 - 5*p**4 + 2*p**4)*(0 + 6 - 3).\nAnswer: -49*p**4 - 9*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + h - 61 = 4*h, 2*z = -z - 2*h - 34 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1275 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (148\/370)\/(4\/110).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 355 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -14\/5, 21029, -225 in decreasing order.\nAnswer: 21029, -14\/5, -225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 10:52 PM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 13 = -a + 2*i, -2*a + 6 = -5*i. Let x(c) = -387*c**2 + 4*c - 9. Let m be x(a). Round m to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3\/3383 - -382207\/81192. Calculate the common denominator of -33\/26 and t.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 75, 367, 1161, 2709, 5263, 9075?\n\"Answer: 42*z**3 - z**2 + z + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of 2*l**4 - 5*l. Let h(f) = 2*f. What is h(q(y))?\nAnswer: 48*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 5*z = 10, -5*z - 33 = -8 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**3 + 4*n**2 - 3*n + 4. Suppose 3 = -y + 8. Let w(a) = 3*a**3 - 5*a**2 + 4*a - 5. Let l be 20\/(-50) - 44\/(-10). Calculate l*w(u) + y*t(u).\nAnswer: 2*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**4 - 750*r**3 + 1486*r**2 + 2238*r = 0 for r.\nAnswer: -1, 0, 3, 373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5*f + 56 = 6*m, 4*m = -f + 40. What is the lowest common multiple of m and 208?\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -14*n**2 + 379*n + 22693. Give y(56).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + -1 + -1 + 2. Let w(c) = -c**3 + 14*c**2 + 3. Let h be w(14). Suppose -45 = -s - 4*s. Solve -u - o*u = h*g - s, -4*g = 2*u - 8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -14, 505 in ascending order.\nAnswer: -14, 6, 505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 10 + -15 + 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-4\/9)*n)\/n**(-6)*(n**(1\/2))**18)**14 assuming n is positive.\nAnswer: n**(1960\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.05 - -1.25. What is the closest to r in -2\/11, -1\/3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4 = -8. Let w be -2 - (p - -4) - -3. Let i(r) = 2*r**2 + 1 - 4*r**3 + 5*r**3 - 2*r - 8*r**3. Determine i(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6315.951 millennia to centuries.\nAnswer: 63159.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 g when two letters picked without replacement from {a: 1, g: 3, j: 7, v: 1, n: 1, o: 7}.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 9*z - 4. Determine x(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -u**4\/12 + 2*u**3 - 5*u**2 + 7*u. What are the prime factors of p(8)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/21 and -97\/2264.\nAnswer: 47544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k**2 - 9*k**2 + 2*k**2 - k**2.\nAnswer: -14*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**2 - 4*v + 4. Let m be t(-2). Let f = 25 - m. Suppose f*o - 7*o = 4*s - 994, 4*s - 2*o - 1014 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 6)*(-2*o**3 + 4*o**3 + 0*o**3) + 303*o**3 + 1287 - 647 - 639.\nAnswer: 307*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ey when two letters picked without replacement from {e: 2, y: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 149*w**4 + 40?\nAnswer: 596*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -143 + 182. Which is bigger: o or -2\/9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 934930474.\nAnswer: 2, 467465237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49274 is divided by 160?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, d: 4}. What is prob of picking 3 d?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-7 - 0) + (-5 + 3 - -2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(9\/3) - -1. Suppose x + 13 = 5*a, 0*x + 2*x = a + 1. Suppose i + b = 0, 6*y - x*y - 4*i - 112 = 0. Solve -t = -6*t - y for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2)*r**(-5))\/(r**(1\/3)\/r*r\/(r\/(((r\/(r*(r*r*r**(-3\/5)*r)\/r*r))\/r)\/r))) assuming r is positive.\nAnswer: r**(-29\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12184181076297 + -12184181075788.1000003913. Let i = 508.9 - q. Round i to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -244.1 - -28.\nAnswer: -216.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2532355 * 5\nAnswer: 12661775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, k: 1}. Give prob of picking 2 q.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 293296079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 392877733?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1876.\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38.2426 - -26.707. What is q rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 2*j - 21 - 27, 4*n - 16 = -2*j. Suppose 4*d + 2*z = -32, -3*z - 12 = 4*d + j. Let b = -5 - d. Is b even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16280.7 + -16280. Which is the second biggest value? (a) 0.057 (b) -0.2 (c) y (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 + 6 = -9*p. Suppose -6*y = -y + 5*r - 135, p*r = -5*y + 133. Calculate the least common multiple of y and 18.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-61)\/(-72 - -11) - (-2 + -1*(1 - -51))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*p**5 - 25104*p**4 - 198092*p**3 - 513392*p**2 - 501420*p - 163800 = 0. What is p?\nAnswer: -3, -5\/6, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*q = 3*k - 2*k - 72, 5*k + 8 = -2*q + k for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4033 = 3*b - 498, 4*b + 3540 = 4*d. Is 55 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 3\/10*x**4 + 3\/25*x**5 + 3\/5*x - 2\/5*x**3 - 1\/10*x**6 - 3\/10*x**2 - 6. What is k in h(k) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 5. Let f = c - -0.5. Let z = f - 5.55. Round z to 1 decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/2)\/(42\/(2268\/(-135))).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*j + 149*j - 81*j.\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -6 (c) 8645 (d) -2 (e) -1 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + 1)**2 - (sqrt(19) + sqrt(171)*-2).\nAnswer: 13*sqrt(19) + 305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -21, -5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 387 is divided by 97.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f - 2. Let a be (-9)\/2 - 1\/(-2). Let j be c(a). Factor j*g - 2*g + 9*g**5 - g**3 - 8*g**5.\nAnswer: g**3*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 5*w**2 + 6*w + 7. Let l be b(-6). Let d(n) = -n**2 + 14*n + 34. Let x be d(16). Solve 0 = 3*c - 2*h + l, -x*h = 2*c + 4 - 6 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + -6)*(-3)\/3. Let v(b) = 3*b**3 - 4*b - 4. Let y(m) = -8*m**3 + 13*m + 11. Let w(h) = r*y(h) + 11*v(h). What is the second derivative of w(u) wrt u?\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3\/4 - 6695*t**2\/4 + 6710*t - 6715.\nAnswer: -5*(t - 2)**2*(t + 1343)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 2*t**2 - t + 4. Let y be p(0). Let f be y\/7 + 690\/42. Suppose -f - 466 = -3*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 52*u**5 - 812*u**4 - 432*u**2 - 27*u wrt u?\nAnswer: 3120*u**2 - 19488*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(175) + 5 + (-1*sqrt(84))\/sqrt(12) - (-3 + (0 + sqrt(847) - sqrt(847)) + (sqrt(847) + -1)*1 + sqrt(847))) + 1)**2.\nAnswer: -180*sqrt(7) + 2293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ed when two letters picked without replacement from {s: 1, l: 2, e: 5, d: 10, r: 2}?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 858 divided by -39.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4760105 - 6.\nAnswer: -4760111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2 + (-1345)\/5)*-1)\/1. Let q = y + -136. Calculate the greatest common divisor of q and 225.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**2*h*h)**(-37)*(h**(-2\/3)\/h*h)**(-14\/9) assuming h is positive.\nAnswer: h**(-3968\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that p**3\/5 - 1672*p**2\/5 + 633484*p\/5 - 1260288\/5 = 0.\nAnswer: 2, 576, 1094","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + b - 3 + 1, 5*d - 12 = -3*b. Let r(t) be the second derivative of -2\/3*t**3 + 1\/12*t**4 + t**2 + 7*t + 0. What is r(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 5*z**2 - 5*z + 6. Let l be b(4). Suppose -l*g - g = -30. Is 3 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -54446*m - 90162 wrt m?\nAnswer: -54446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4*j = 32 - 12, 0 = -r - j + 1. Let d be (-26)\/6*2*-3. Suppose d = y + 4*w + 8, y + 6 = r*w. Does 3 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 309 + -153. What is the least common multiple of z and 351?\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + -5*(-2 - -3). Let y be -8*4\/c - -8. Let d = y - -12. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + 57*t + 102. Let i(y) = 43 + 47*y**2 + 161 - 48*y**2 + 114*y. Let j(q) = -4*i(q) + 7*w(q). Factor j(a).\nAnswer: -3*(a + 2)*(a + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 40 = -100. Let d = u + 244\/7. Which is the nearest to 0.4? (a) -0.3 (b) 0 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4053667956 by 6.\nAnswer: -675611326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -118057, -471773, -1061147, -1886179, -2946869?\n\"Answer: -117829*c**2 - 229*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 5)\/15*-2.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -29*s**2 + 9898*s + 19796. Calculate c(-2).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 8 - (-4)\/(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -5*l + 38. Let f be n(6). Let s be (-6)\/f*((-2)\/(-6) + -1). Which is the closest to 1? (a) s (b) 2\/11 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 140097 and 62288.\nAnswer: 513315408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 229 - -58. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21900240?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 134 and 12.\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 333.31 + -333.59626. Let k = v + -79.61674. Let u = k + 80. What is u rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -2. Let n = 6 - f. Which is the closest to 1\/2? (a) n (b) 3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-583)\/1749 + (-9 - (-3)\/3) + (-8)\/24.\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 63133 in -0.2, -187\/9, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-13 + 11 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8157992 divided by -764?\nAnswer: -10678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + c. Let n be j(0). Let l = n + -4. List the prime factors of (-2 - 1)\/(3 + l).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3, -43946, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2119*r - 22. Let d(s) = 1060*s + 9. Determine 5*d(m) + 2*k(m).\nAnswer: 1062*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -55*n - 7. Let c = 30 - 32. Is f(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + 19*v + 90. Let z be h(-8). Solve l - 3*m - 9 = -5*m, -4*m - z = -2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 535*n**2 - 15*n + 530. Let r(w) = -267*w**2 + 9*w - 265. Let y(v) = -3*k(v) - 5*r(v). Differentiate y(i) wrt i.\nAnswer: -540*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 100654069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4611*y**3 + 9*y**2 + 7*y - 7. Let s(h) = 4615*h**3 - 13*h**2 - 6*h + 7. Let m(o) = 4*b(o) + 3*s(o). Find the third derivative of m(l) wrt l.\nAnswer: -27594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2809 divided by 1\nAnswer: 2809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 e when three letters picked without replacement from {u: 2, b: 1, e: 1, r: 3, k: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 221295225*f - 178767674?\nAnswer: 221295225","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + v + 2*v - 1018 = 0, 2*n = -v - 405. Let g = 414 + n. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 13 = 4*s - 13, -4*s = 3*h - 31. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 n when three letters picked without replacement from {n: 1, a: 2, l: 3, z: 3, x: 3, b: 1}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*c + 18. Solve -5*z - 22 = 2*j - j, -2*z + c*j - 19 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 7*s**2 - 12*s - 3. Let i be v(-5). Let g = i - 5. Put 0.6, -0.1, g, -5\/3 in decreasing order.\nAnswer: g, 0.6, -0.1, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 20, 8, -8, -28?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5684 and 560.\nAnswer: 113680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5480 - -5479.9. What is the fifth biggest value in 9, 0.06, o, -5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 32\/(-30) - (-4)\/10. What is the second biggest value in 1, s, -2\/7, -0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 122, 263, 472, 761, 1142, 1627?\nAnswer: 2228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 66258.05um?\nAnswer: 0.00006625805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 863.81 to the nearest integer.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11 (b) -2.9 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 + 338. List the prime factors of x.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 2, h: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 + ((-3)\/(-18) - 10870\/(-12)) is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 433 (base 8) to base 6.\nAnswer: 1151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 12:39 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-196)\/(-490)*(7 - 2). Solve -3*s - 5 = -2*n, -4*s - v*n = n + 18 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c + 3*c - 6*c)*(-5 + 1 + 2)*(-10*c**2 - 5*c**4 + 10*c**2).\nAnswer: 20*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -86.40091 + 80.4009. Let y = k + 6. What is y rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + c - 20 = -4*p, -3*p + 2 = 5*c. Solve -p*r - 4 - 12 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11474113 or -11474112?\nAnswer: -11474112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 420 and 38?\nAnswer: 7980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/6 + 747655*o**2\/6 + 13458519*o\/2 + 181693287\/2.\nAnswer: -(o - 747709)*(o + 27)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17845506 and 66.\nAnswer: 196300566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.16764 kilograms to micrograms.\nAnswer: 2167640000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 261961 (base 12) to base 14.\nAnswer: 123b97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q + q + 0*q - 3*q + q + q + (6 - 1 - 3)*(-5*q + q + 3*q).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 784 = -8*v. Let l be v\/42*4\/14. Sort 2\/3, 0.4, -2, l.\nAnswer: -2, l, 0.4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1093\/(8\/(3 - -5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -4. Let c be (-3)\/36 - x\/(-6). Let a = -17.6 + 14.6. What is the nearest to c in a, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -31. Let k = -20 + x. What is the second biggest value in -4, 0.08, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27601*k**3 + 210*k**2 + 18.\nAnswer: -165606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 466*22\/(-352)*30*8\/6. Which is smaller: -1164 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42384 by -4.\nAnswer: -10596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.33 + 2.32568. What is f rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 45094.6720615656 - 4.\nAnswer: 45090.6720615656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18 (base 11) to base 9.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 310481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.4 + 1.37. Is u greater than -1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z - 8*z + 55 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -r**3\/3 + 2*r. Let b(t) = -t. Let i(x) = x - 10. Let c be i(7). What is c*b(o) + p(o)?\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 66*m**2 + 646*m - 124. What is r(-12)?\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 432\/(-24)*(-4)\/8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 52 and 508?\nAnswer: 6604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.499 * -0.6\nAnswer: 0.2994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/(-21)*(8 - 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, x: 8}. Give prob of sequence tx.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -4*b + 2*b + r, 0 = 4*b - 4*r + 20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 - -40. Suppose 4*j - 200 = -8*x, -4*x + 108 = -8*j + 6*j. What is the remainder when x is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {q: 15, u: 3}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/2009 and 37\/164.\nAnswer: 8036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 0*s - 8*s + 10*s. Let f(u) = -5*u + 9*u + 7*u**2 - 4*u. Determine f(j(g)).\nAnswer: 28*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in meters?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -82 - -84. What is the remainder when (-18 + i - 5)\/((-1)\/3) is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -261, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, a: 3, g: 1, f: 1, y: 1, p: 6}. Give prob of sequence pyp.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uy when two letters picked without replacement from {u: 2, s: 2, f: 1, g: 2, y: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1025 = 138*m + 44*m + 4981 for m.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -72 + 1902*t**4 - 12*t + 72*t - 12*t**3 + 28*t**2 - 1906*t**4 = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 8*m**2 - m + 7. Let q be s(8). Let c(p) = 1 + 2 + p**2 + 8 + 12*p. Let g be c(-11). Put q, -5, g in decreasing order.\nAnswer: g, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68 and 3287698.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 0 + -1*sqrt(396) + 1 + (0 + 2 + sqrt(396) - (-3*sqrt(396)*-2)**2).\nAnswer: -14254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhs when three letters picked without replacement from {j: 5, h: 3, z: 1, s: 3}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*m**3 + 6271*m**2 + 88*m + 6100076 wrt m?\nAnswer: 18*m**2 + 12542*m + 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2023649 and -0.7?\nAnswer: 1416554.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 18.956 (b) 1 (c) 1\/6 (d) -0.24 (e) 4 (f) 7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 240*a - 1685. Give f(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.284 * 3.3\nAnswer: -0.9372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + m + 4. Let o = -22 - -2. Let d = o - -15. Let a(l) = l**2 - l - 5. Let c(w) = d*a(w) - 6*r(w). What is c(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(98) + 1)*-3)**2.\nAnswer: 630*sqrt(2) + 1107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 108.84309 to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 5*t - 988, 5*t - 3*t = -3*f + 734. Suppose d - f = -4*a, 2*d + 2*a - 478 = -3*a. Is 9 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24890 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 4. Suppose -h - h + 10 = r, -2*x + 41 = h. Is 9 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 5*s**2 - 6*s - 1. Let j be (-9)\/1*((-40)\/12)\/(-5). Let i be l(j). Which is greater: i or 3\/17?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6865.73ml?\nAnswer: 6.86573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/2 (b) -14 (c) 2\/11 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*d - 21*d + 4 = 0. Calculate the common denominator of 220\/(-132)*(1 - d)\/(-350) and 39\/7.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -531.8445981 + 554.841276. Let u = i + 2.2033364. Let r = -25.2 + u. What is r rounded to six decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 88*k + 1767. Calculate m(-20).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 3) + 10 - 3. Let f(x) = -x - 4. Let k be f(-6). Solve -k*c + 8 = -y*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 40*t**2 - 10*t + 66. Let i(r) = 29*r**2 - 8*r + 50. Let j(m) = -11*i(m) + 8*l(m). What is j(-9)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5846.227nm in kilometers?\nAnswer: 0.000000005846227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -649*j = -633*j - 144 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.03 (b) 0.04 (c) 1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 357619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*n - 3 = -3*y, 0 = -5*n - 4*y - 7. Let k be 1*(-1 - -34)\/n. Let x be 0 + 6\/3 - k. Solve 3*v + x = 1 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293922 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 15*j - 17*j. Let a be j\/(-60)*12\/9. Is a not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -5, -23195?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90\/(-480))\/(1\/(-2)*3).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p + 4. Let x be u(3). Let n = -4 - x. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -83 + 9*v**2 + 83 - 989*v - 37*v**5 wrt v?\nAnswer: -740*v**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -5*j**4 - 19270*j**3 - 18469865*j**2 + 186843720*j + 205294320 = 0.\nAnswer: -1932, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 374*m**2 - 1116*m - 3728.\nAnswer: 2*(m + 2)*(187*m - 932)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 = -l + 3*c, 0 = 4*l + 2*c + 2*c - 628. What is the least common multiple of l and 2?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 1550*i + 1552*i = 26, -20 = -2*k + 4*i. Solve k*a = -12*a + 72 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5 + 6)*(4 - 34\/17). Factor 0*p**3 - 24\/7*p + 9\/7 + 18\/7*p**n - 3\/7*p**4.\nAnswer: -3*(p - 1)**3*(p + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 divided by 9.\nAnswer: 37\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9350\/19 - 492. Which is bigger: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*x**4 - x**2 + 3*x - 34*x**4 - 4*x + 28*x as y + j*x**4 + b*x**3 + c*x + i*x**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000724726 rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 8*t - 7. Let o(l) = -l + 1. Let n = -16 - -10. Let s(y) = n*o(y) - w(y). Suppose -5*g = 2*u + 7, -3*u = -0*g - 2*g - 18. What is s(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 61263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of 7*b**4\/24 - 5*b**3\/6 + b**2. Let l be z(3). Let a be (-440)\/(-28) - (-2)\/7. Calculate the highest common divisor of l and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 58995, 58990, 58985, 58980?\n\"Answer: -5*w + 59000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -7*f - 2. Let o(m) = -m - 6. Let v(g) = 2*g + 13. Let d(l) = -13*o(l) - 6*v(l). Calculate -c(j) - 5*d(j).\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**4 + t**3 - t. Let c(m) = 108*m**4 - 6*m**3 + 5*m + 8. Let f(q) = c(q) + 6*z(q). What is the second derivative of f(k) wrt k?\nAnswer: 1368*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21513*c**5 + 2*c**3*k**3 + 74*c**2*k**3 + 314*c**2 wrt c?\nAnswer: 1290780*c**2 + 12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 + 0.3. Let g = 2.6 - -7.4. Let k = 10.1 - g. Which is the nearest to k? (a) -4\/5 (b) v (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -19. Let k(z) = -z**2 - z + 75. What is -9*a(l) - 2*k(l)?\nAnswer: 2*l**2 + 2*l + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10bd + -3?\nAnswer: 10ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, 4, -7, -223, 5, 2 in decreasing order.\nAnswer: 39, 5, 4, 2, -7, -223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*l**2 - 2 - 3 - 2 wrt l.\nAnswer: -14*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 9. Suppose -d*z - 950 = -31550. What is z rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 216757 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -22422, -0.5, 12\/11 in descending order.\nAnswer: 12\/11, -0.5, -22422","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 12*z**2 + 1. Suppose -21*q = -17*q - 79 + 67. Let v(s) = s - 3. Let m be v(6). Let r(n) = -q*n + m*n - n. What is r(b(y))?\nAnswer: -12*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, o: 2, t: 13}. Give prob of sequence kt.\nAnswer: 13\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4127737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + -4)\/((-6)\/18). Suppose -7 = -4*v + 3*c - 6*c, -v = -c - 7. Solve h - y = -v for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5*t = -30. Let p = t + 7. Let x be (6\/(-20))\/(p\/(-10)). Which is the third biggest value? (a) x (b) 0.6 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + -16. Let d = 18 + o. Which is the nearest to -1\/2? (a) d (b) -0.2 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67513 to the power of 1\/2, to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 4*k + 60, 48 = -3*m - k - k. Suppose 0*s - 2*s + 14 = 0. Let b = s - m. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - y**2 - y. Let m be u(0). Let x = -1 - m. Let a = -1 - x. Solve 5*w + a*d = -2*d + 23, 5*w + 5*d = 35 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14004.01643 rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.095 - -29.095. Let y = 41 - 8. Let x = f - y. Is -0.7 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 34*f. Let k(t) = -10*t**2 + 3*t + 3. Let i(g) = 30*g**2 - 10*g - 10. Let c(b) = 6*i(b) + 20*k(b). Calculate l(c(q)).\nAnswer: -680*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1311 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, 0.1, -0.1 in decreasing order.\nAnswer: 0.1, -0.1, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 9:04 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4709 is divided by 1177.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 372799 and 176589.\nAnswer: 3355191","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/3)*(c**(3\/8)*c)\/c*(c*c\/c**(-4)*c*c)\/c**(-1) assuming c is positive.\nAnswer: c**(209\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -28. Suppose -633 = x*t - 12*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 97133.65 weeks?\nAnswer: 58746431520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 10:12 PM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 1 + 2 - 4 + 2*k - k**2. Let r be w(1). Solve -3*j + 12 = r, j = -0*d + d + 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (37572\/43834)\/(-5*(-12)\/(-1890)*2*6).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -451410.317214\nAnswer: -451406.317214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*z + 3*k + 1 = 30*z, 5*z - 63*k - 22 = -65*k for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*m + 7*m = 36 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1528865.\nAnswer: 5, 13, 43, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 23*n**2 - 3147*n + 249497. Let x(y) = -11*y**2 + 1574*y - 124754. Let b(s) = 6*l(s) + 13*x(s). Factor b(p).\nAnswer: -5*(p - 158)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10739591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18559?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54225 by 18075.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 16 = 2. Let z be (-54)\/x*(-16)\/18. Solve -10*a = -7*a - 2*w - 6, -5*w + z = 4*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from whjwucmcwjmc. What is prob of sequence juc?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4*j = -7*j. Solve j = g - 2*g - 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 2)*(-w + 3 - 3) + 4*w - 2*w - 7*w - 6 + 6 - 9*w + (5*w - w - 2*w)*(-3 + 3 - 2) - 5 + 5 - w + w - 3*w + 0*w - 3*w + 2*w - 2*w.\nAnswer: -21*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 137, 153, 177, 209, 249, 297, 353?\nAnswer: 417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 3. Let o = -5 + 8. Suppose -5*a - o = -g + 3*g, -5 = 5*a. Are g and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*l**3 - 392*l**2 - 2587*l - 338.\nAnswer: -(l + 13)**2*(15*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (684\/190)\/((-198)\/(-759)).\nAnswer: 69\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k. Let h(m) = 8*m**2 - 14*m**2 + 645352*m - 644625*m. Determine q(h(x)).\nAnswer: 12*x**2 - 1454*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 l when two letters picked without replacement from {z: 2, q: 4, e: 1, l: 1, o: 2}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 166412375 to the power of 1\/2, to the nearest integer?\nAnswer: 12900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21770778 to the nearest integer?\nAnswer: 4666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -185 (base 10) to base 14\nAnswer: -d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 8069?\nAnswer: 8072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - b + 22. Let o(c) = -2*c**2 + 2*c + 1. Let p(k) = -o(k) - r(k). Calculate p(0).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 10 = 3*s. Suppose -5*w = -4*a - 51, -5*a = s*w + w - 38. Is w >= 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 w when four letters picked without replacement from {r: 6, c: 1, w: 5, x: 5}?\nAnswer: 5\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*r - 11028 + 30318 = 1196*r - 16648 for r.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 0.158?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -32*s**2. Let b(h) = h - 6. Let z(q) = 4*q - 21. Let i(x) = 7*b(x) - 2*z(x). Calculate i(c(p)).\nAnswer: 32*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**4\/8 - 747*a**3\/2 + 2250*a**2 - 4506*a + 3006 = 0.\nAnswer: -1002, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -21308868 divided by 21308868\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22267 is divided by 47?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -7, 7, 25, 47, 73, 103?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*r + 68*r + 13838 = -53*r - 355*r for r.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -2\/257 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -139, -4, -3, 4.\nAnswer: -139, -4, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 1380*q**2. Let p(o) = -2*o. Give p(z(t)).\nAnswer: -2760*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 29*q - 1. Let b(n) = -29*n. Give -3*b(j) - 2*d(j).\nAnswer: 29*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 6:26 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-6))\/(208\/2496).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bihhbhlqbqhbbelqbq. Give prob of sequence ieh.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 690 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -4*s. Let t(l) = -10*l**2. Give t(a(w)).\nAnswer: -160*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27 (base 8) to base 13.\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/924 - (-567)\/(-7854)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3 = 0, -3*r + 7*r = -3*g - 27. Let y = -4.01 + 8.01. What is the fourth smallest value in 1\/10, y, g, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*t + 157 - 339 - 463 = -22*t for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.406 + 0.406. Let s = -4 + 1. What is the third biggest value in -4, b, 0.2, s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43 + 30. Let t = 11 + o. What is the second smallest value in 0.08, t, 0.3?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o + 15. Let u(l) = 5*l + 34. Let z(j) = 9*p(j) - 4*u(j). Let i(h) be the first derivative of h**2\/2 - 1. Let x = 2 + -3. Give x*z(g) - 4*i(g).\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1593 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 3*x - 84. Let h = -29 + x. Let z be 2\/10*(0 + h). What is the third smallest value in -2\/17, 0.2, z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -443 + 235. What is the greatest common divisor of x and 552?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 720527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 - 9) + (-3 - (-8 - (3 + -4))) - 6.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 18*h**2 - 2*h + 11. Is x(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 10*h**2 - 74*h - 187. Let c be j(-2). Put -5, -2, -3, c, -6 in ascending order.\nAnswer: -6, -5, -3, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i + 3. Let k be u(3). Let o(b) = b**3 + b - b**2 + k*b - 1 - 2. Is o(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from npxxvpt. Give prob of picking 2 p and 1 x.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 5:53 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 223202 and -2\/207 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzztzzt. Give prob of picking 1 t and 3 z.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 5*n + 2. Let j be u(5). Let w be j + 0 + 0\/4. Suppose w*m - 12 = -2*a, 4*m - a - 2*a - 52 = 0. What is the remainder when 27 is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 5:08 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11155 and 230?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*x = -2*l + 14, 5*x - 5*l + 20 = 0. Let c = x - -3. Solve -m + 3*a + c = 0, 0 = -2*m - a - 5 - 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of 0 - 1\/30*i**5 - 8\/3*i**2 - 4\/3*i**3 - 8*i - 1\/3*i**4. Factor l(n).\nAnswer: -2*(n + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 21*q**2 + 5*q + 4. Let d be o(-1). What is the smallest common multiple of (-4)\/(-6) + 2\/6 and 15*3*4\/d*1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11 + 8a?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 1097*c - 17076 = 1095*c, -5*j - c = -28474. Does 8 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3 = 1. Let h be m\/((-2 - -3) + 0). Let q be 5*(182\/(-10))\/h. What is the greatest common divisor of q and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1528)\/20 + (-4)\/(-10). Let q = 69 - d. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191*l = 252*l + 511 + 99 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3*((sqrt(1872) - (sqrt(1872) + sqrt(1872)*2 + 2) - 1*-1*sqrt(1872)) + 2 + 1) + -4)**2.\nAnswer: -504*sqrt(13) + 16897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u + u**3 - 2*u + 4*u + (-27*u**2 - 34*u**2 + 18*u**2)*(4*u + 3*u - 4*u) as c*u**3 + i*u + p + a*u**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 582068569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 3*h**2 + h + 3. Let t be k(-3). Let r(o) = 3*o + 407. Is r(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 15305*k - 474443. Determine w(31).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3354, 3117, 2916, 2769, 2694, 2709, 2832?\nAnswer: 3081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 29 = -16*s - 17*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-24)\/(-1 + -3) + 0. Suppose 2*p = y*p + 12. Let n(v) = 5*v - 3. Let r(x) = 5*x - 4. Let j(z) = 6*n(z) - 5*r(z). Determine j(p).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from gaaaagaagaaaaaggaaaa.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19356497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 3:18 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, -8\/7, -1, 0.6?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 707537 and -0.9.\nAnswer: -636783.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, 5, -3\/5, -79, 1, -0.4, 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14.94025 * 0.5.\nAnswer: 7.470125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2482529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (30\/21)\/((-12)\/(-42)). Factor -15*q**3 - 5*q**2 + 0*q**3 - 15*q + y + 30*q.\nAnswer: -5*(q - 1)*(q + 1)*(3*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 2, h: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.29 - -0.268. Let h = 0.492 + y. Let u = h + -0.07. Sort -1\/5, 4, u.\nAnswer: -1\/5, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44302103 (base 5) in base 2?\nAnswer: -1011101111010001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2802 is divided by 225?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -12*w**2 + 548878*w + 2. Let h(u) = u. Give h(k(a)).\nAnswer: -12*a**2 + 548878*a + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of 1\/16*v**4 + 0*v**3 - 9*v**2 + 1\/48*v**6 - 7\/120*v**5 + 0 - 1\/420*v**7 + 0*v. Find x, given that m(x) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n + 17*n**4 - 6*n**4 + 3*n**2 + 0*n - 6*n - 5*n**2 + 1 in the form p*n**3 + x*n**2 + k + r*n + u*n**4 and give u.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 6*u**2 + 2*u + 7. Let d be w(-6). Let g be (-4 - 51\/(-15))*d. Solve 4 + 12 = 3*p - 4*l, -g*l = 5*p + 12 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3640 and 5125624.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -0.09?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -85 or -2671793?\nAnswer: -2671793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -m - 3. Calculate the lowest common multiple of (85\/(-25) + 3)\/((-2)\/m) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10322 + i + 10300 + 0*i + 3*i as a + d*i and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 675*q - 7966*q - 2988*q + q**3.\nAnswer: q**3 - 10279*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 9*q - 16. Suppose 0*h + 3200 = l - q*h, 4*h = 5*l - 16000. Round l to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181469851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**3 + 33*h**2 - 179*h + 491. What is k(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -1. Suppose 5*h = p*h + 5. Which is the closest to 0.2? (a) 1\/12 (b) h (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 1:03 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 16 - -4 - (-2 - 24)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55854 and 30.\nAnswer: 279270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/3534 and 46\/4123.\nAnswer: 24738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4 + 0 = -z, -65 = 5*z - 5*n. Are z and -15 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 53661 + -25704. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mdccmmmdtjmdmcztm. What is prob of picking 1 m, 1 t, 1 d, and 1 c?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -4*o - 19. Let q be i(-6). Let y(c) = -c**2 - 2*c - 3. Let r(n) = n**2 + 2*n + 2. What is q*r(t) + 4*y(t)?\nAnswer: t**2 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/3 of a day in hours?\nAnswer: 232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-5)\/3)\/(1\/(-3)). Let s = 33 + -37. Let k be 1*s - 12\/(-1). Solve r*t + k = t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 5*b**2 + 9*b - 9. Let s = 17 - 11. Let d be k(s). Solve 5*f = -4 + d for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 842 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -625*k**5 - 2271*k + 2149. Find the first derivative of z(q) wrt q.\nAnswer: -12500*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14428 is divided by 1532?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, z: 2, r: 6, i: 2, h: 1}. What is prob of picking 1 i, 1 r, and 1 d?\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27727 in -0.3, 1\/3, 2\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2564455237?\nAnswer: 37, 59, 1174739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 4:19 AM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + 6. Is h a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10446\/11 or 951?\nAnswer: 10446\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -9. Suppose -u + 240 = 245. Sort a, u, -3 in increasing order.\nAnswer: a, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -5*d - 7*d - 1 + 3*d. Let u(n) = -517*n - 7241. Let t be u(-14). Let a(g) = g. Give t*a(z) - h(z).\nAnswer: 6*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2530064.\nAnswer: 2, 158129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28.7 - 32.7. Which is the closest to 0.1? (a) k (b) -11 (c) -1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-2*3*sqrt(102)*6)\/(sqrt(294)*2 + sqrt(294) + (1*sqrt(384) + sqrt(384) - sqrt(384))))**2.\nAnswer: 22032\/841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of d**6\/1440 - d**5\/60 + d**4\/6 + d**3 - 3. Let y(h) be the third derivative of b(h). Solve y(m) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-28)*(-119)\/204\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - k - 3*s + 7 = 0, 0 = -3*k - 5*s + 29. Calculate the highest common factor of k and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 896662 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1761 + 4109. Calculate the remainder when p is divided by 84.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -11, 1, -2\/3, -1\/11, 1\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28783, 40535, 52287, 64039, 75791, 87543?\nAnswer: 99295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - -1727) + (-36)\/(-6). Suppose z = 6*v - 180. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -1. Let i = 31 + -29. Suppose v - i*w - 4 = 0, -4 = -3*v + 5*w + 4. What is the nearest to -2\/3 in k, v, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3627*(-4960)\/249840 - 72.\nAnswer: 2\/347","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-21 + 17 + 17)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2201 is divided by 116?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(7\/((-14)\/15)))\/(-2)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 586\/63 - 62\/7. Let -n + 10\/9*f + 2\/9*f**3 - 8\/9*f**2 = 0. What is f?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**2 - l**2 + l**2 + (-1 + 1 + 2*l)*(3*l - 7*l + 0*l) + 0*l**2 + 4*l**2 - 2*l**2 + 2*l**2 + 2*l - 2*l.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23769503?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -18 (b) 26\/3 (c) 23 (d) -0.03 (e) 3 (f) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4229, -4305, -4503, -4883, -5505, -6429?\nAnswer: -7715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4491, -9208, -13925, -18642, -23359, -28076?\nAnswer: -32793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/780)\/(2\/8793). Let h = 31\/130 - m. Find the common denominator of 95\/22 and h.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.92 - -0.12. Let z = l - 7.2. Let s = z - -12. Which is the second smallest value? (a) s (b) 0.4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 373, 375, 377, 379, 381?\n\"Answer: 2*q + 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 318 and 112?\nAnswer: 17808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j - 6. Let l(s) = 4*s + 7. Let t = -12 + 17. Determine t*a(n) + 4*l(n).\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8555543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - s + 925. Let f be n(0). Is (f\/(-15))\/(4\/(-12)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -95 - -115. Suppose 0 = k*s - 22*s + 96. Find the third derivative of -s*i**5 + 17*i**2 - 15*i**3 + 14*i**5 + 15*i**3 wrt i.\nAnswer: -2040*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 71*l**2 + 176*l + 8. Does 24 divide y(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 + -106 + 189 + -88.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33066012?\nAnswer: 2, 3, 7, 37, 10639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 = 6*y - 181. Is y at most as big as 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, e: 3, w: 3, q: 1, f: 2, z: 3}. What is prob of sequence wv?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 656067?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -9 (b) -12\/5 (c) -5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -7*x + 2*x + 2*x. Let v = -1 + -1. Let c(m) = -2*m**2 + m - 1. Let j(b) = -b**2 - b + 1. Let t(q) = v*c(q) - 2*j(q). Give t(h(a)).\nAnswer: 54*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 40 = -9*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 2:39 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7.5639 and 24264.9994?\nAnswer: 24257.4355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 + 20. Let r = -103 - -121. Let u = m + r. Solve u*h + 12 = 0, 0 = -t + 2*t - 2*h - 10 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z - 2. Let d be n(2). Let g(k) = 8 - k - 4 + 6. Let i(r) = 2*r - 11. Let j(t) = d*i(t) + 3*g(t). Give j(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 12*z + 25. Let v be 3*(990\/(-27))\/11. Let g be m(v). Sort 4, -1, g, 1 in ascending order.\nAnswer: -1, 1, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32872407.\nAnswer: 3, 17, 644557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 11:33 AM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -244*f + 114*f + 144*f.\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**3*q**2*z - 14*a**3*q*z**2 + 3*a**3*z**3 - 5559634*a**2*q**2*z**3 + 5*a*q*z - a*z**2 - 3*a + 36*q wrt q?\nAnswer: 4*a**3*z - 11119268*a**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1707915029?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 5*b. Let i(y) = -2*y + 12. Let u be i(5). Let d(p) = 3*p + 1. Let h be d(u). Let s(t) = -34 + h*t + 34. Determine s(r(z)).\nAnswer: 35*z","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -8*i**2 + 3*i**3 - 2 + 0*i**2 + 2*i - 4*i**3 + 2*i**2. Let m be n(-8). Suppose m = 3*c - 181. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 11*l**2 + 844*l + 654. What is t(-76)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**2 - 3*a**2 + 2*a**2. Let z(o) = 4*o + 7. Let m be (-54)\/(-4) - 1\/(-2). Let p(q) = -q - 2. Let w(g) = m*p(g) + 4*z(g). Calculate u(w(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y + 19. Let g be 2\/(-6)*-3 + -1. Give l(g).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*k + 17 + 6 = 0, 3*f = 5*k + 21. Solve -3*i - 2*p - f - 5 = 0, -5*i + 4*p + 25 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1110 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -69*q**3 - 7*q**2 + 7*q - 7. Let h(d) = -46*d**3 - 5*d**2 + 5*d - 5. Let x = -2907 - -2912. What is x*y(s) - 7*h(s)?\nAnswer: -23*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of -k**5\/60 - 3*k**4\/8 - 10*k**2 - 1. What is m(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(63\/(-2))*6.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -459*g**2*w**3 + 85310*g**2*w**2 + 8*w**3 wrt w?\nAnswer: -2754*g**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 10*g**2 + 12*g + 24. Calculate k(-11).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 9, -2, 1, -5 in increasing order.\nAnswer: -5, -4, -2, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 449647 is divided by 332?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -28 + 2 + 2136 + -2120 - 51?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 i when two letters picked without replacement from ueueeeeieeeeeeeee.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence icv when three letters picked without replacement from {r: 9, v: 2, i: 4, c: 2, o: 1, s: 2}?\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2 + 4*u - 10. Let x be i(-7). Let y = -1127\/638 + 42\/29. Find the common denominator of (-161)\/x - (-2)\/6 and y.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (23\/55)\/((-2)\/(-189)). Let g = j - 347\/10. What is the common denominator of (178\/(-12))\/(6\/(-18)) and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of 6*h + 8*h**3 + 0 + 1\/2*h**2. Let m be d(1). Calculate the greatest common divisor of m and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16.05 - 16. What is the closest to 0 in 2\/7, -5\/2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42384.017329518 - 11003204.517280318. Let z = g + 10960840.4. Let o = z - 19.9. What is o rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 1 = 16 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r. Let u(n) = -66*n - 2. Calculate y(u(x)).\nAnswer: 132*x + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 1 + 1)*(4 + 3 - 5) + 231*v - 90*v + 96*v - 4*v + 0*v + 5*v.\nAnswer: 234*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 82 + -77. Put s, -3, -1 in increasing order.\nAnswer: -3, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 - 0.4. Let j be 10\/(-2)*(0 - -1). What is the nearest to 1 in o, j, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 24 = d, -2*a + 0*d = 3*d + 4. Suppose 12 + 12 = 5*p + l, 16 = a*l. Let f(z) = z**2 - 2. Let g(r) = -5*r**2 - r + 9. Calculate p*g(k) + 18*f(k).\nAnswer: -2*k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 676830*f**5*o + 3*f**3 + 746213*f**2*o - 3*o wrt f.\nAnswer: 40609800*f**2*o + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/18*6\/(-26030). Which is smaller: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 361584380?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 11:06 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*z + 19*z = 1197. Let m = z - -155. List the prime factors of m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u - u**5 - 3*u + (-21*u + 2 - 1 + 19*u - 4*u**2)*(2*u - 2*u + 3*u**2)*(-4*u + 6*u - 7*u).\nAnswer: 59*u**5 + 30*u**4 - 15*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44.7847 - -44.8. Round v to three decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -88*i**3*r**2 + i**3 + i*r**2 - i - 10*r wrt i.\nAnswer: -528*i*r**2 + 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 59*s - 2246. Determine a(38).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + -1)*(-2 - -7). Let h be (-66)\/(-15) - j\/25. Suppose h*t = -t + 1255. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 5*l**2 + 8*l - 15. Determine h(-8).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 577930019?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1340 + 2238. Let i = y + -225. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -224 to the nearest 10.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -10. Suppose t*h = -3*h + 18. Which is bigger: h or -0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 1745*s**2 + 516*s + 2065. List the prime factors of h(-4).\nAnswer: 3, 41, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 4, -7 = -2*o - 3*g + 27. Let y = -1 - -1. Suppose x + 3*x = -4*z + 36, 2*z + 5*x - 12 = y. Calculate the remainder when o is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 848.2899mm in centimeters?\nAnswer: 84.82899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2.411809 millennia?\nAnswer: 28941.708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*u**2 + u**2 + u**2 in the form m*u + y + i*u**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) -5054 (c) -5 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38 + -35. Suppose 9*v = -5*s + 4*v - 80, b*s - v + 32 = 0. List the prime factors of s*1\/8*-26.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 7*y + 113. Let z be p(17). Calculate the highest common divisor of 16 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*((p*p\/(p*p\/p**(1\/7)))\/p)\/p*p)\/p)**(-10)*p**6\/((p\/(p**(6\/7)*p))\/p) assuming p is positive.\nAnswer: p**(115\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4 = -2*u, 3*j - 8 + 2 = -3*u. Suppose 5*x + u*z - 9 = 0, 0 = 3*x + 2*z - 5*z + 3. Let g(s) = -s**2 + 1. Calculate g(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 12 - t**2 - 22 + 11 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 132466851.\nAnswer: 1059734808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24988726 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(187)\/(sqrt(11) + sqrt(44) - sqrt(11)))**2 - (-1 + 2*sqrt(833) + sqrt(833)).\nAnswer: -21*sqrt(17) + 154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - i = -44 - 262, 2*n - 306 = -3*i. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffgg when four letters picked without replacement from {g: 2, f: 9}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 5*u**3 + 39*u**2 - 3*u + 1. Let k be r(-8). Is (3189\/9)\/(k\/(-117)) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4*p**2 + 3*p - 6. Let k be f(3). Let h = k - -38. Let m(a) = -a**2 + a + 3. Give m(h).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 571, 573, 585, 607, 639, 681, 733?\n\"Answer: 5*p**2 - 13*p + 579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 10. Let a = 0.9 - 0.8. Sort a, -4, l in decreasing order.\nAnswer: l, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 f when two letters picked without replacement from ppwwfnt?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 120*y**2 + 406*y - 2. Let v(i) = 123*i**2 + 407*i - 4. Let q(r) = 8*a(r) - 7*v(r). Factor q(w).\nAnswer: 3*(w + 4)*(33*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*b + 31*b - 56. Let a = b - -10. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18992095351.07 minus 0.5?\nAnswer: -18992095351.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**3 + 0*i**3 - 67*i**3 + 6*i**3 + 3*i**3 + 66*i**3.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 52*k - 44*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j + 3 - 3)*(1 + 1 + 0)*(4 - 2 - 4)*(485 + 556 - 188) to the form n*j + r and give n.\nAnswer: 6824","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 267*c. Let i(a) = 11*a + 301007. Determine i(p(k)).\nAnswer: 2937*k + 301007","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 419881970 + 0.2.\nAnswer: 419881970.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 20727554262+-1172\nAnswer: 20727553090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*((-300)\/8)\/(-25)*23\/(-3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z + 64. Suppose 14*r = 9*r + 90. What is the remainder when w(16) is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8702 divided by -1\nAnswer: 8702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.31, -2\/5, -22, 2\/17.\nAnswer: -22, -2, -2\/5, -0.31, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-10)*70\/420.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 361, 374, 397, 430, 473, 526, 589?\nAnswer: 662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-1*(1 + (sqrt(11) + 0)*6)*4.\nAnswer: 16 + 96*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -114, -469, -1062, -1893, -2962, -4269, -5814?\n\"Answer: -119*a**2 + 2*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 8*p = -7*p + 5060. Calculate the highest common divisor of p and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -443189877 divided by 3?\nAnswer: -147729959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 1864 = -4*s, s - v - 465 = -3*v. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11307 rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16.4*-24.\nAnswer: -393.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -5 (c) -14 (d) -271 (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -81 - 67. Let x = -77 - t. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 81, 180, 309, 462?\nAnswer: 633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + -15.647155869.\nAnswer: -15.347155869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 g when four letters picked without replacement from uuggngu?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 70 + -120. Let h = -54 - x. What is the closest to 0 in -0.1, h, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6223081 - 0.18.\nAnswer: -6223081.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*k = 3*s - 1, 2*s + 10 = 4*k. Let i(g) be the first derivative of 8*g + 2*g**2 - 4 - 8*g**k + 4*g**2. Differentiate i(y) with respect to y.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = 3*z + 344. Let y be 6\/z*-5 + 23\/18. What is k in -1\/2*k**2 - 1 + y*k = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xnnopnonxnboonx. What is prob of sequence nnbb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10000011000 (base 2) to base 9\nAnswer: -1384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/7 (b) -111 (c) -2 (d) 1 (e) 0.4 (f) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 26, 97, 170, 245, 322, 401, 482?\n\"Answer: h**2 + 68*h - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14903 + -14902.9992031. What is s rounded to five decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15 or 98?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 97\/419 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-8)*6\/(-42))\/(17\/2720*-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23540 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10005 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/51)\/(11 - (-320)\/(-30)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -175 - -178. What is the fourth smallest value in -0.4, 5\/9, 0.5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -3*j - 4. Suppose 21 = j*q + 9. Let t(l) = -l**3 + 25*l**2 + 95*l - 1101. Let c be t(27). Solve 2*a = -q*o - c + 1, -5*a = -3*o + 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 224\/24231 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 252058 >= 252057?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - 5*f - 6. Let r be v(-4). Suppose -r = 16*n - 110. Solve 4*p - 1 = -n for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 3*n - 1. Suppose -45 = -5*x - 2*w - 0*w, -27 = -x - 4*w. Let g be u(x). Suppose -2*m = m - g. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*t = 0. Suppose 5*d = -2*n + 813, t = -3*n + 5 + 7. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 535148700?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 133 + 162 = -5*a, 3*a - 5*c + 20 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + (4 - (4 + -2))*1. Suppose 25 = h*z + 3*z. Suppose z*j + 5*m = 690, 0 = -j - m + 4*m + 146. Is 14 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181*c**3 + 230 + 183*c**3 - 2*c - 230.\nAnswer: 2*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((2*sqrt(45)\/sqrt(3))\/((-2*sqrt(500) - sqrt(500)) + sqrt(500)))**2 + 5) + 5.\nAnswer: -378\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 115 + -51. Suppose 340 = 60*d - t*d. Let q = 81 + d. Let n(c) = c**3 + 4*c**2 + 1. Determine n(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 2*o - 4*c - 52, -c + 41 = 2*o. Let y be 20\/(-10)*18\/(-1). What is the greatest common divisor of y and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = g - 4. What is the tens digit of 5\/(75\/g) - (-2928)\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (4\/160*-8)\/(58\/(-15)) and 44\/13?\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) - sqrt(880)*-3)\/(sqrt(55)\/(sqrt(30)\/sqrt(6))) - (2 + (-1*sqrt(500)*-1 + 5)**2).\nAnswer: -527 - 87*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5765?\nAnswer: 5, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(540\/126)*-5?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 132 - 160. Let k = v - -90. What is the remainder when 12 is divided by (3*k\/12)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -357331*y. Let x(g) = g**2. Calculate x(s(h)).\nAnswer: 127685443561*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 441.1 to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-3))\/(7\/(-672)). Let q(m) = m**3 + 30*m**2 - 65*m - 20. Let x be q(n). Solve 5*u + 3*w - 32 = 0, 4*u = 5*w - 4*w + x for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 140 - 141. Let u(m) = -12 + 2 - 12*m + m**2 - 10*m + 16*m. Let t be u(8). What is the closest to t in 5, r, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -9*n - 19. Let l be p(-3). Let v(d) = -7*d - 6424 + 6429 + 9*d. Give v(l).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3266 + 5910. Let c = 2599.12 - p. Let h = c + 45. What is h rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 288\/128*(-940)\/3525.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 4 - 2)*(w**3 + w**3 - 3*w**3).\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4259.\nAnswer: 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -330 - -329. What is the nearest to t in 1\/5, 0.5, 2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*o + 5. Let z(p) = -1. Let n(s) = 2. Let h(d) = 4*n(d) + 5*z(d). Let y(q) = q + 1. Let j(w) = -h(w) + y(w). Calculate j(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -71518080*v. Let n(r) = 3*r**2. What is n(j(h))?\nAnswer: 15344507300659200*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -l**5 - 5*l**3*p + 1459*l**2*o**2 + 14*l*o**2*p - l*p + 588*o**2*p wrt l?\nAnswer: -20*l**3 - 30*l*p + 2918*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 788*w - 9 - 233*w - 268*w - 224*w.\nAnswer: 63*w - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, v: 2, s: 2, q: 1, n: 2, w: 1}. Give prob of sequence zw.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/15 + (-88)\/(-20). Suppose 2*d - 3*t - y = -t, 0 = 4*d + 2*t - 20. Solve 2*q = d*p - 26, 5*p = q + p + 21 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**7*l\/l**(-3) assuming l is positive.\nAnswer: l**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g**2*j + 5*g**2 + 1030*g*j**4 + 45*g - 3 wrt j.\nAnswer: g**2 + 4120*g*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (6 - -3635)*(-13 + 16 + 1*-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12723*p + 3*x = -12718*p + 15, 2*x + 22 = -2*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62400 - 62400 - 165557*n**3.\nAnswer: -165557*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1652?\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*k + 0*k - 5*k)*(78 + 16*k - 78) to m*k**2 + y + p*k and give m.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3088150?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 258a627 (base 11) to base 3\nAnswer: 22102120211000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 136 - 1226\/9. Let t = 2.06 + -0.06. Let o = -3 - t. Which is the smallest value? (a) o (b) w (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 73 + -75. Which is the closest to -0.1? (a) t (b) -4 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-21)\/(-6))\/(-7)*966. Let r = 726 - w. Suppose r = 27*c - 24*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 - ((21 - (2 + 11)) + -37).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.904 - 4. Let g = -20.004 + k. Let d = g - -21. What is d rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + y**2 + 2 + (-y - 3*y + 3*y)*(y - 2*y - y) + 2*y**2 - 1 + 1)*(-1733 - 2234 + 107 + 223).\nAnswer: -18185*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -375*c**6\/2 - 30*c**5 + 1225*c**4\/4 + 142*c**3\/3 - 50*c**2 + 8*c + 1595. What is f in s(f) = 0?\nAnswer: -1, -2\/5, 2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-2 - -2) + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 29173 less than -620779?\nAnswer: -649952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 14. Let p be ((-2)\/54)\/((-2)\/(-10)). Let b = p - -89\/189. Is q >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/6 - (-11815)\/30)\/582. Let b = 1\/97 - c. Find the common denominator of 44\/61 and b.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (96\/704)\/((-7 + 9)\/22) + 5817\/(-3864).\nAnswer: -1\/184","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 83*y. Let s(r) = -r**2 - 37*r. Give g(s(b)).\nAnswer: -83*b**2 - 3071*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -5*x + 4435, -3*x + 74*u - 76*u = -2661. Is 5 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 9*v**2 + 5*v + 3. Suppose b + 0 = 3. Suppose 5*z + 2 = -p, -2*z - 6 = b*p - 0. What is the tens digit of h(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -8892*z - 2106. Let u(v) = -127*v - 30. Let l(g) = 351*u(g) - 5*x(g). Let h(a) = 2*a**2 + 22*a. Calculate h(l(m)).\nAnswer: 27378*m**2 - 2574*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p = 171*i - 166*i + 19, 0 = 2*p - 7*i - 1 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 841052.4 nanometers?\nAnswer: 0.0008410524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 5*a**2 - 22*a + 10. Let z be l(3). Solve -29 - z = -9*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 317 - 955 = -33*j - 1258 - 1558 for j.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j**(6\/5)*j)))\/j*j\/j**4)**(-4\/21)\/((j**(1\/4)*j*j**2)\/(j**7*j**(-1\/5))) assuming j is positive.\nAnswer: j**(109\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -19*t - 188. Let d be l(-10). Suppose d*p = 2*i + 38, -3*i + 70 = 5*p - 9. Is p equal to 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 11:43 PM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2 + 137*z**2 - 56*z**2 - 201*z**2. Let x(m) = -4*m**2. Calculate x(h(j)).\nAnswer: -57600*j**4 + 1920*j**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 499306 is divided by 35660?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = -4*y + 24. Let p = y + 8. Suppose -p*x = 3*x. Solve -3*i + x*i - 9 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0)**8\/(i**(-2\/9))**(-1\/49))**(-8\/11) assuming i is positive.\nAnswer: i**(16\/4851)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, 0.065, 2, 4, 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110010 + -11?\nAnswer: 102222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*21\/(-1)*(-428)\/19355658*59?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 184 and 253?\nAnswer: 2024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 732660 to the nearest one thousand.\nAnswer: 733000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -676*b**5 - 47*b**4 + 2*b**3 - 10*b**2 + 2*b - 294?\nAnswer: -40560*b**2 - 1128*b + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, -2, 17\/4004 in ascending order.\nAnswer: -2, 17\/4004, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b + 164 - 179 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 49 - 45 = 0. Put 8, -4, f in decreasing order.\nAnswer: 8, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 9:20 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1200, 2549, 3884, 5199, 6488, 7745, 8964, 10139?\n\"Answer: -p**3 - p**2 + 1359*p - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31827\/10 - -15916\/5. Let k = 3679\/8 - 459. Find m such that s - k*m - 1\/4*m**2 = 0.\nAnswer: -4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) + -2*sqrt(72))*-2 + -4 - (sqrt(2) + sqrt(20)\/(3*sqrt(10)) + -5)*3)**2.\nAnswer: 176*sqrt(2) + 249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 116 = -4*v, 5*v + 38 = -4*l + 157. Suppose -5*o + k + 23 = -44, -l = -o - 4*k. What is the smallest common multiple of o and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4450 - 15?\nAnswer: 4431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 117364709*d**4 - 3218064*d**2 wrt d?\nAnswer: 2816753016*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 156*b*h + 500*b + 2*h wrt h.\nAnswer: 156*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 8, 14, -4, 7, -34 in decreasing order.\nAnswer: 14, 8, 7, 1, -4, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 214439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -8\/4085 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 107, -3, 2, 2391, 4 in increasing order.\nAnswer: -3, 2, 4, 107, 2391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a. Let t be f(6). Let m be ((-4)\/(-6))\/(6\/(-54)). Is t less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -346956868 divided by -212.\nAnswer: 1636589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1664.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 6*f**3 + 34*f**2 + 20*f + 4. What is r(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-43)\/15 + (7 + -1 - 3). Let m be (-166175)\/(-5775) - 29 - (-4)\/14. Sort g, 0, m, -2\/9 in increasing order.\nAnswer: -2\/9, 0, m, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/8 + 0\/(3 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17432223?\nAnswer: 3, 5810741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 424890 is divided by 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -755382?\nAnswer: -755380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 181, 175, 169, 163, 157, 151?\n\"Answer: -6*u + 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 2*n + 70. Let h(t) = 3*t**3 + 27*t**2 + 2*t + 9. Let c be h(-9). Calculate k(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 4 = -3*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8063 - -8067. Solve 0*t = -4*t - v*o, 0 = -2*o + 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -1\/14, -1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 2*q**2 + 5*q + 5. Let k(l) = 4*l**3 - 9*l**2 - 21*l - 21. Let m(i) = -2*k(i) - 9*v(i). What is the tens digit of m(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-3 - 0) - 3. Let u(d) be the third derivative of -1\/12*d**4 + 0*d - d**3 + 0 + 1\/15*d**5 + 1\/120*d**6 + 3*d**2. What is u(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j**2 - 26*j + 14. Let t be r(6). Suppose 0 = 2*d - 3*d + 26. Calculate the remainder when (-17 - -18)\/(149\/(-75) + t) is divided by d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 - -0.6. Let l = i - 0.3. What is the nearest to 0.1 in l, 0.1, 2\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -36764, 5, -6, -5, 3 in ascending order.\nAnswer: -36764, -6, -5, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1\/4, 5, -12\/17, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(304) + 2) + 2)*-2)**2.\nAnswer: 768*sqrt(19) + 11200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*s**3*z**3 + 474*s**3 - 7*z**3 wrt z.\nAnswer: 63*s**3*z**2 - 21*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {y: 4, q: 7, j: 3}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 divided by -204374?\nAnswer: -27\/102187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -1.8169433.\nAnswer: 7.2677732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 8*j. Let q(l) = l**3 + 17*l**2 - l - 5. Let r be q(-17). Let d(u) = r*u - 28*u + 15*u. Give d(p(o)).\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n**2*t**2*v**3 + 26*n**2*t + 10*n**2 - 2*n*t**2 + 25*t**2*v**3 - 2*v**3 wrt t.\nAnswer: 2*n**2*v**3 - 4*n + 50*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 0, -3, 48, -5 in decreasing order.\nAnswer: 48, 19, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {z: 15, s: 5}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4, 39, 92, 157, 228, 299, 364, 417?\n\"Answer: -t**3 + 15*t**2 - 3*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2336)\/(-336))\/73 + (-206)\/(-42). Solve 6 = -g - 3*y, -3*g - 2*g + t*y = 10 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58174 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172 = -3*x + 46*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 44 = 3*w - 0*w, -3*u = 3*w - 36. Calculate the smallest common multiple of 4 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -128*t**2. Let m(o) = -2*o. What is c(m(l))?\nAnswer: -512*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -54431 + -9759.565.\nAnswer: -64190.565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 6 + 71 = 2*r - n, 13*r - 4*n = -2389 + 2882 for r.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x + 255*x**2 - 67*x**2 - 60*x**2 - 2*x - 167*x**2 + 38*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 821087?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jfxfjfxjmxjjm. What is prob of sequence fm?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/114 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 280\/(-112)*((-74)\/10 + 1). What is the highest common divisor of r and 136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-79)\/16 + (-4)\/8 and -7\/24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/2 (b) 237438 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6616 - -6614. Let t(i) = i**2 + 3*i - 2. Let b be t(-4). Let k be (0\/(-2))\/(2\/b). Put k, -1, h, -5 in descending order.\nAnswer: k, -1, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1875715*h**3 - 607040*h?\nAnswer: 11254290*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 32 = -2*b - 3*n, 0 = 3*n - 15. What is the smallest common multiple of 4 + 2\/b + 199\/5 and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 81*w**3 - 6 + 5 - 5.\nAnswer: 81*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -4 + 4 + (-1 - 3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 141*v + 125 - 49 - 975*v - 76 to the form k + j*v and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4 - 25*l**3 - 109*l**2 + 297*l - 162.\nAnswer: -(l - 1)**2*(l + 9)*(l + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 609993450 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 4420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 2*x - x. Calculate the remainder when x is divided by (1 + 0)*(-7)\/(28\/(-96)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(3 + 1)*-7 + 2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 8. Let o = 4 + u. Suppose -3*v = -i + 5*i + 23, -4*i - 2*v - 22 = 0. Which is the third smallest value? (a) o (b) 2\/13 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 46) + ((-9 - (-7 + 3)) + 7 - -4)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 65, -47, -4 in decreasing order.\nAnswer: 65, -4, -13, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 1:23 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11 - (2 + (3 - (-4)\/(-2))). What is the highest common factor of 168 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36575.41 + 0.2.\nAnswer: 36575.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 43*x**2 + 77*x - 128. Let i be s(-41). Calculate the highest common factor of i and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 2 = -3*s, -p + 2*s + 706 - 713 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 5*k - 3, -b - 5*k + 7 = 0. Suppose b*p = 5*l - 6, -5*p + 48 - 9 = l. Suppose 3*q - 35 = -5. What is the remainder when q is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of y**5\/2 - y**3\/6 - 50*y - 59. Let h(m) be the first derivative of r(m). Give h(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - f**2 - 2*f)*(2854322*f - 3857*f**2 - 2854322*f).\nAnswer: 3857*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*q + 14 = 83. Let v(h) be the second derivative of 1\/2*h**q - 1\/2*h**2 + 4*h + 0. Differentiate v(l) with respect to l.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/((-35)\/(-2))*(-69825)\/(-2394)*6\/5\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1649, -3301, -4953, -6605?\n\"Answer: -1652*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-6*sqrt(13)*3*3.\nAnswer: 162*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3695 = -2*m + m, 9239 = 5*h + m. Calculate the remainder when (4\/10)\/(h\/(-1855) - -1) is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -1003?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57, -682, -2419, -5820, -11437, -19822, -31527, -47104?\nAnswer: -67105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4 - 2 + 4*b + 2 - 2*b. Let x = -1602 - -1602. Calculate d(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 351445429672.468 + -0.2?\nAnswer: 351445429672.268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ywey when four letters picked without replacement from {z: 1, y: 2, t: 3, w: 1, e: 2, m: 3}?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 a when three letters picked without replacement from httahhhthththhthhhht.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z - 6. Let u be f(6). Solve u = 5*h - 4 - 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l**3 - 22*l**2 + l - 4. Let t be j(-8). Suppose t - 756 = -4*i. Does 10 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8043.208 days in milliseconds?\nAnswer: 694933171200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 9. What are the prime factors of (-4 - -5)\/(i\/(-18))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 28*w + 59. Let h(i) be the third derivative of 7*i**4\/12 + 5*i**3 + 3*i**2. Let l(z) = 2*b(z) - 5*h(z). What is the derivative of l(q) wrt q?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -8 and -396\/49 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -2*a - 10, a = 3 - 6. Suppose 5*c = d*r + 51, -12 - 188 = 5*r + 2*c. Let b = -24 - r. Calculate the greatest common divisor of 112 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 54*w**2 + 8*w + 2108. Give r(53).\nAnswer: -277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 44240 (base 5) to base 12\nAnswer: 193a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 8:14 AM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((1 - 1) + 1) - -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 4*f - 1. Let y(p) = -777*p**2 - 48*p - 12. Determine 36*s(n) - 3*y(n).\nAnswer: 2367*n**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 2*a**2 + 2. Let d be c(2). Let z(b) = 2 + d + 2*b**2 - 4. Let g(x) = -7*x - 31 + 31. Calculate g(z(u)).\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 12, u: 6}. Give prob of sequence uuu.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y*y**(-1)))**(-22)\/(y**2)**27 assuming y is positive.\nAnswer: y**(-54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z + 29 - 10 - 12. Let o be f(-7). Suppose o*i = -i + 13. Calculate the remainder when i is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 66*y + 2938. Let p be d(-44). Solve 3*b + 14*b = -p for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/12)\/((-1)\/(-5)))\/((-13)\/39)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 31*y - 39*y + 1 to the form a + x*y and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 9. Suppose j - 6 = -m*j. Suppose 8*h = 3*h - 10, 3*y - 97 = j*h. List the prime factors of y.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -4. Let o(p) = 2*p - u*p + 5*p. Let l(w) = 2*w. What is o(l(y))?\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (429\/(-286))\/((-9)\/28*14\/84).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 0, 138, -2038 in decreasing order.\nAnswer: 138, 0, -1\/3, -2038","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78\/12*(-312)\/(-676)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and -1297046182.\nAnswer: -1297046181.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7024, -14418, -22014, -29812, -37812, -46014, -54418?\n\"Answer: -101*w**2 - 7091*w + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 11*s**3 + 685*s + 3. Let a(p) = -40*p**3 - 2063*p - 10. What is -2*a(u) - 7*y(u)?\nAnswer: 3*u**3 - 669*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28249878 to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -199, -4031, -10419, -19363, -30863, -44919?\nAnswer: -61531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.33539208 to three decimal places.\nAnswer: -0.335","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 32*s**3 + 21*s**2 - 2*s - 142. Let m be b(8). What is m rounded to the nearest one thousand?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y**2 - 12*y + 1569. Determine w(-31).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -5*n + 11. Suppose -13*l = -n*l - 596. Let s = l - 85. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2832*p - 2028. Let q(o) = -14158*o + 10140. Let n(g) = 14*d(g) + 3*q(g). Differentiate n(w) wrt w.\nAnswer: -2826","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(176))**2)*6.\nAnswer: 1044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 5*z - 2. Calculate o(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + k**2 - 1)*(-1024 - 9*k + 1024) + 0*k**3 - 2*k**3 + 3*k**3 + (-1 + 1 - 2*k**2)*(k - k + k) + 114*k**2 - 114*k**2 - 5*k**3.\nAnswer: -15*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**4 + 5*v**4 - v**4)*(2 + 2*v - 2 + (-5*v + 7*v + 9*v)*(0 - 3 + 1) - 4*v + 4*v - v).\nAnswer: -63*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-105)\/56*8\/(-20)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(405)\/(sqrt(1296) + sqrt(1296)*1 - sqrt(9)) + (sqrt(90) - ((sqrt(90)*1 - sqrt(90))*1 + sqrt(90)))\/sqrt(2))*-4*5)**2.\nAnswer: -120*sqrt(5)\/23 + 18529\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21209 (base 15) to base 12.\nAnswer: -50990","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2 + 505*v + 990.\nAnswer: 5*(v + 2)*(v + 99)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y**2 - 3*y**3 + 4*y**2 - 10*y**2 + y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 30169351 to the power of 1\/3, to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63072 is divided by 104?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -19874, -11278, -2680, 5920, 14522, 23126?\n\"Answer: j**2 + 8593*j - 28468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uff when three letters picked without replacement from {u: 6, v: 1, q: 2, d: 1, f: 3}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-132)\/(-21) + -1 + -5.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 110*a**2 - 215*a + 143. Let f be w(-108). Solve -f = -r - 28 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -382*q - 388 + 7264 = 0 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 212507*f + 212502*f - 637510*f + 212501*f + 15*f**2.\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7879 + 365*o + 7879 + 1332*o to t + n*o and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 596465, 1192929, 1789395, 2385863?\n\"Answer: q**2 + 596461*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*49.\nAnswer: 19.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -190, -537, -884, -1231?\n\"Answer: -347*k + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/275 and 34\/11.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4*n = -0*n - 11, 0 = 2*p + 4*n + 14. Let h(x) = x. Let g be h(2). Differentiate -p - g*z**2 + 1 - z**2 + z**2 with respect to z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h + 7. Let d be 2 - (3\/5 - (-18)\/(-5)). Suppose -1 = -d*x - 26. Determine q(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -21297, 2\/21 in descending order.\nAnswer: 20, 2\/21, -21297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d**2 + 1 - d**2 + d**2)*((2 + 0 + 0)*(-1 - 2 + 1) + 1 - 2 - 1) to l*d**2 + f*d + w and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mz when two letters picked without replacement from {o: 4, z: 3, u: 2, e: 2, m: 1, s: 2}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kiipphililwl. Give prob of picking 3 l and 1 k.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 + -30. Solve -m = -0*r - r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 14 = -0*q - 2*q, 4*n = -16. Suppose 2*u - 15 - 1 = 0. Let w be -4 + (-141)\/(-13) + (-4)\/(-26). Solve -q*h = -u - w for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence naca when four letters picked without replacement from ggaddwggddgcnagwg?\nAnswer: 1\/28560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10\/3*l**2 + 3*l**3 + 4\/3*l**4 + 0 - l.\nAnswer: l*(l - 1)*(l + 3)*(4*l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 2:50 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3*-120085.396\nAnswer: -360256.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 62845 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18\/17 + -92\/119. Let r be (4 + -7)*(-10)\/6. Which is the closest to z? (a) r (b) 2\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102120002 (base 3) to base 14\nAnswer: 30dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 362 a factor of 298650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4805199 divided by -17997.\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 163 * 175.1\nAnswer: 28541.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/21 (b) 3 (c) -100 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2182609?\nAnswer: 11, 13, 15263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + sqrt(34)\/sqrt(18) - -1*(sqrt(68)\/sqrt(4) + -5)).\nAnswer: -20*sqrt(17)\/3 + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 62369 and 8413?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 820099, 3280150, 7380235, 13120354, 20500507, 29520694, 40180915?\n\"Answer: 820017*p**2 + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 5*w**2. Let o(p) = 3. Let a(q) be the second derivative of q**3\/6 + q**2 - 13*q. Let k(z) = -3*a(z) + 2*o(z). What is k(h(v))?\nAnswer: -15*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*y**3 + 320 - 320 + 12*y**3 - 3*y**3.\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1035650 a multiple of 1345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -56*i**4 + 3*i**3 - 3020*i.\nAnswer: -672*i**2 + 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3147991773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 37*m = 27*m + 243 + 243 for m.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 5*o + 11, -3*b = 2*o - 0 - 4. Suppose -b*y + 20 = -y. What is the remainder when 73 is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 819911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 - (7 + -14 + -7 - 1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26654941343 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (22 - 1443\/65) + (-39)\/5. Put -5, k, 4 in ascending order.\nAnswer: k, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 24*r**2 - 53*r + 39. Give x(26).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of r**4\/26 + 16*r**3\/39 + 21*r**2\/13 + 36*r\/13 + 57. Find v such that n(v) = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 4*v**2 - 62*v - 690 = 0.\nAnswer: -15\/2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-913*o + 47*o**2 + 31*o**2 + 911*o - 5)*(-o + 4 - 4) to the form u*o**2 + y + x*o**3 + d*o and give x.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -1098286.\nAnswer: -3\/1098286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 3315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**2 - 33*q + 19. Let i be p(16). What is the second derivative of 4*u + 9 + 48*u**3 - 22 - 10 - i*u wrt u?\nAnswer: 288*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3 - 2134*m**2 + 520592*m + 1049736.\nAnswer: 2*(m - 687)*(m - 382)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 times 2646?\nAnswer: -23814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 166, 3, 11, -3, -76 in decreasing order.\nAnswer: 166, 11, 3, -3, -5, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 61425 and 34125?\nAnswer: 307125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15536 rounded to 2 dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v + 3 - 3 - v**3)*(126 - 822*v - 10*v - 126) to p + f*v**3 + t*v**4 + w*v + h*v**2 and give t.\nAnswer: 832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z - 2*y - 43, 32 = -4*z + 66*y - 67*y for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g + 541. Let i = 199 - 199. What is the units digit of w(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.43171 meters to nanometers.\nAnswer: 27431710000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12552?\nAnswer: 2, 3, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1164 = 4*y + l, l - 298 = -y - l. Suppose -y = -4*r + 206. Does 11 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*w + 25 - 25 + (-2*w + 3*w - 4*w)*(0 + 3 + 0).\nAnswer: -24*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*j = -83 + 1199 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 10. Suppose -3*m = -t - 9. Suppose 5*i - 15 = v, 4*v + m*i - 45 = -v. Solve u - 5*g = 2*u + 9, v = -5*g for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2395145?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1660 - 1660.4847. Let w = o - 0.0153. Let a = 0.05 + 3.95. What is the closest to a in 0, w, -1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 160 and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-22 + 4 - 12 - 5)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11c (base 15) in base 12?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 4560325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.4 - 2. Suppose 20 = 3*l + 7*l. Suppose l*j = 5*j - 0*j. Which is the closest to j? (a) 2\/13 (b) y (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 20*b - 91. Let r be x(24). Let t(s) be the third derivative of 1\/15*s**r + 0*s + 0 + 32\/3*s**3 + 7*s**2 + 4\/3*s**4. Factor t(p).\nAnswer: 4*(p + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of -x**4\/24 + 38*x**2 - 6*x + 1. Let m(s) = 3928*s. Determine l(m(g)).\nAnswer: -3928*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -6*j - 4*j + j + 4*j. Let d(m) = m. Give z(d(b)).\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34 + 66. Let q = f + -33.3. Let v = -1.4 - q. Is -4 at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 396 - 112 = 4*w. Let u = w - -18. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, b: 1, c: 1, l: 2, w: 5, u: 2}. Give prob of picking 1 b, 1 w, and 1 u.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 - -25. Let n = -6.3 - -6. Which is the second smallest value? (a) 0 (b) j (c) -3\/5 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280*u = -190*u + 450. Put -1\/12, 0.2, 0.1, 2, u in descending order.\nAnswer: 2, 0.2, 0.1, -1\/12, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 - z**2 + 5*z**2)*(3273*z - 1629*z + 8707*z + 1642*z).\nAnswer: 23986*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 5 - 3 + 2 - d. Let b be 3410\/7843*(-69)\/(-6). Determine p(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-1))**(-41)*((n**(-2\/7)\/n)\/n)\/n**6)\/(((n\/n**(1\/3))\/(n*n*n**4))\/(n*n**1*n**2*n)) assuming n is positive.\nAnswer: n**(-1679\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/(-9))\/(2 + 0). Let r = 6 + -6.5. Let y(i) = -i**3 - i**2 + i - 1. Let d be y(0). Which is the nearest to 1\/2? (a) r (b) d (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (28\/(-7) - -8) + 835*24715. Let y = 5227029 - o. Round y to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 k, and 2 c when four letters picked without replacement from cbtkjkkcktkkwjt?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-1))**(2\/37)\/(z\/(z\/(z\/(z\/(z\/(z*z\/z**1)*z)*z*z)))*z**3)*((z**2)**(-43))**(-2\/47) assuming z is positive.\nAnswer: z**(3074\/1739)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -77, -148, -247, -374, -529?\nAnswer: -712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -f**6\/120 - f**5\/12 + 7*f**4\/24 + 6*f**2. Let t = -9 + 3. Determine n(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43 + (2608 - 2601 - (1 + -1 + 9)) - 8\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -8, -2, -16, 4 in increasing order.\nAnswer: -16, -8, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -115 - -119. Suppose -3*c = m*s - 2*s - 16, -15 = -2*c + 3*s. Solve 4*w + 2 = -c for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*q + 6 - 6)*(-8*q + 2*q - 2*q).\nAnswer: 96*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 3:10 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11 - 2425638?\nAnswer: -2425627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4*u**2 - 37*u + 122. Does 74 divide s(32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 2*c**2 + 27*c - 7. Let q be p(4). Sort 1, q, -262 in descending order.\nAnswer: q, 1, -262","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qzkqkzkkkkkkqkzqkkkk. What is prob of sequence qqzz?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/909 and (-4)\/26 + 7510\/650 + -12.\nAnswer: 4545","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*c + 1374 + 1184 + 1211 = 3541 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4bb + 4?\nAnswer: 4c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 802315*l + 801971*l - 1604934*l.\nAnswer: -648*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17979 + 38459. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*z**3 - 3*z**3 + 11*z - 27*z + 19*z + 112*z.\nAnswer: -56*z**3 + 115*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4\/139, -2\/7, -5, 0.8, -6\/2929?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of s**4\/12 + s**2\/2 - 2*s + 1. Let c(z) be the first derivative of l(z). Find the first derivative of c(x) wrt x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 385842858?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8165.782l?\nAnswer: 8165782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that v**2 - 9701*v - 7703982 = 0.\nAnswer: -738, 10439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33840 - 19978. What is the thousands digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 493*q + 94*q + 1265*q - 133*q.\nAnswer: 1719*q","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 21*j - 10. What is k(-7)?\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/25760790 and 59\/770?\nAnswer: 180325530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 25441641 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 - -42. Let p be (z - 1)\/(1 + 1). What are the prime factors of 2\/p + (-129)\/(-27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*i + 1638 = 9*i - 0*i for i.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 672 - 369. Is 305 <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34872.9 + 63858074\nAnswer: 63892946.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 1084 divide 12919641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 22 = -18. Let f be m\/10 - (-5)\/(-25). Solve -4*g + j = -8, j + 0*j = f for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 2.4, 6\/7, 3?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8077 is divided by 192.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from blbbbbbylb. What is prob of sequence bybb?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 9, w: 3}. Give prob of picking 1 w and 1 q.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23.15798 - 0.35402. What is i rounded to 0 decimal places?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 3*a - 3 = 0, u + 0*u + 1 = -4*a. Let n be (-7075)\/(-125) + -2*u\/5. Suppose -52*g = -n*g + 25. Solve 4*m = 5*y - 0*m - 33, -g*y + m = -27 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 7568?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 872\/27873?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((195\/(-50))\/(-13))\/(3\/(-135)*(-5)\/(-5))\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(1\/3*(-18)\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 19 = 2*w - 0*n, 2*n = -4*w + 14. Put -2, w, 1 in decreasing order.\nAnswer: w, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 6128889?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of 1\/2*k**2 + 22*k + 1\/2*k**3 + 0 + 1\/4*k**4. Is g(-13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lap when three letters picked without replacement from hllalhlapp?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27 - 24 - 399*r - 23 + 69 to o + h*r and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) -244 (b) -2\/33 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-13)\/(-4) + -4 + 1. Let m = 22.98 + -24.98. Put 1, -3\/8, q, m in descending order.\nAnswer: 1, q, -3\/8, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2))**(-27))**(4\/7) assuming g is positive.\nAnswer: g**(216\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 312922?\nAnswer: 2, 97, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 71 + -10 + -14 + 4 - (2 - 6)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, -0.185, -2, -1, 2\/61?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-22)\/(-5) + 4\/(-10). Suppose 31*w + 5046 + 5560 = 11350. Solve -g*j + w = 4 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24.61 + -13.61. Let k = -0.0352 - 2.1348. Let h = 0.17 + k. Which is bigger: a or h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**2 + 3*n. Let k be l(8). Let b = -2 + 21. What is the highest common divisor of b and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by -2*(1 - (-34)\/(-4))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 c, and 1 n when three letters picked without replacement from dcnbqqqnqqlbn.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/5)\/((-4)\/(-20)). Let k(c) = 3*c**2 - 4*c. Let o(h) = 3*h**2 - 3*h. Let v(i) = x*k(i) - 4*o(i). Let z(f) = f**2. What is v(z(n))?\nAnswer: -3*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/92128 and -35\/18072.\nAnswer: 208117152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37497 is divided by 1339?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of 180 - 19*x**2 - 36*x - 2\/3*x**3. Factor y(m).\nAnswer: -2*(m + 1)*(m + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 41, 99, 211, 395, 669?\nAnswer: 1051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9050154199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388654 is divided by 13383.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 e when two letters picked without replacement from {e: 5, n: 13}?\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 l, and 1 m when three letters picked without replacement from zylzymymizig.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -121, -277, -557, -1003, -1657, -2561, -3757?\nAnswer: -5287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 10, 3, 0, -0.33, 5, 122?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64216?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 15 = -2*k, 0 = -2*k - 0*k. Let u(d) = d**3 + 5*d**2 - 6*d - 2. Calculate u(z).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 25 = -2*t, -c + 473*t = 477*t + 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 192 (base 12) to base 11\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 50330223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 + 0.2. Let i = 32 + -30. What is the closest to -1 in 1\/5, p, i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 190*n + 183*n + 177*n - 546*n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 5318*o + 10738119. Determine w(-1561).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**3 - 4*s**2 + 4*s**3 + 4*s**2.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millisecond in microseconds?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = f, -45 = -4*r + 2*f - 155. Let b be -2 + 5\/((-70)\/r). Let g be 2\/(-8) - 0\/(-1). What is the second smallest value in g, b, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 11:08 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -9*r + 2. Let w(s) = -75*s - 4. Let g be w(0). Let a be (-1358)\/266 + g\/(-38). Determine v(a).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011010 + 1111111011?\nAnswer: 1001100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2*sqrt(396) - (1 + sqrt(396)*2))**2.\nAnswer: -96*sqrt(11) + 6340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 8*w**2 - 8*w + 12. Is 6 a factor of k(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7 - (2 - 0) - -8. What is the derivative of -17 - n*w**2 - 10*w**2 - 9*w**2 wrt w?\nAnswer: -64*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 9:35 AM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and 4.54787.\nAnswer: 8.54787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -0*g - 11. Suppose -g = -3*j + 31. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c. Let n(x) = x. Let w(f) = -4*n(f) + 10*z(f). Let y(b) = -7*b. Let q(i) = -i. Let g(l) = 6*q(l) - y(l). Give 3*g(k) - w(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x - 5. Let p be h(8). Suppose 66 = -u + p*u. Let w = -8 + u. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9563 + 9562.99950215. Round b to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - f + 0*f)*(-1 + 1 + 2*f**2) + 30*f**3 - 5009*f**2 + 5009*f**2.\nAnswer: 34*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 312782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*28\/21*(-4)\/(-48)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3010.2 times 1.2?\nAnswer: -3612.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-33774)\/20 - 2\/(-4). Let y = 1681 + i. Calculate the common denominator of y and (-4)\/66*-57 + 1.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.11472273751 to 5 dps.\nAnswer: -0.11472","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5887*o**2 - 11771*o**2 + 5894*o**2.\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 0.2. Let y = 1\/23533 - -4988963\/776589. Let r = y - 78\/11. Which is the third biggest value? (a) r (b) -28 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 6*t = 6. Suppose 2*x - 3 = 3. Suppose x*u + t = 4*u. Is 2 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 28 = -x. Let h(f) = f**3 + 6*f**2 - 7*f - 1. Let y be h(x). What is the closest to y in -0.5, -0.1, -6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52245 and 14823.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 o when three letters picked without replacement from {o: 2, r: 10}.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 8\/3, 0.03, -6\/25 in increasing order.\nAnswer: -3, -6\/25, 0.03, 8\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-2) - 1)*3. Suppose -m = -2*s + 5, 0*m = 4*m - d*s + 15. What is the units digit of (-20)\/(-3) - m\/9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 4*c**4 - 4*c**3 - 28*c**2 + 4*c + 24 = 0?\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 0 + 0)*(3 - 2*j - 3).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6451*f**5*w - 4*f**4*w**3 - 1025*f**2*w - 2*f*w + 2*w**3 - 20*w**2 wrt f.\nAnswer: 387060*f**2*w - 96*f*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 6)\/(-4)*-7. Let z(g) = -g - 5. Determine z(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 286 and 328068?\nAnswer: 3608748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -3 (c) 13657 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 c when four letters picked without replacement from bwbwbwbwwwcbcwb?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 163717067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) 4 (c) 8\/13 (d) -1\/11 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0350754 days in minutes?\nAnswer: 50.508576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25020*u + 446 - 446.\nAnswer: -25020*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1715 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 13. Suppose -4*h + 1 = 3*n - 12, -7 = t*h - 4*n. What is the common denominator of 87\/22 and (-536)\/128*(h - 0)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8891921 is divided by 754.\nAnswer: 753","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in -11\/8, -3\/7, 5, 1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -312 + 256. Let s be 10*(j\/16 - -3). What is the fourth smallest value in s, 3, -147, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 155 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*y**2 + 41*y**2 - y**2 + (0 + y + 0)*(3*y - 3*y - 2*y).\nAnswer: 43*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -70 - -47. Let m = 30 + a. Find the third derivative of -2*k**2 - 2*k**3 + m*k**2 + 4*k**3 + 0*k**2 wrt k.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3005 - -59416638.\nAnswer: 59413633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14857 - -20973. Is 278 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, h: 9, m: 3, k: 3}. What is prob of sequence kmkp?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 234 a factor of 109746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + (-3 - -3))*(5 + -4). Suppose 0*u = 4*u + 3*t - 527, l = -4*u + 4*t + 548. Which is smaller: u or 133?\nAnswer: 133","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*z**4 + 89*z + 12.\nAnswer: -8*z**3 + 89","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4)*(3\/9)\/((-97)\/(-18042))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -4*f**2 + 3*f**2 + 89628 - 14*f - 89650. What is i(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 - 1)*(-4*f + 1 + 8 + 5*f).\nAnswer: -4*f - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 491 and 2513429.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-149)\/(-1) - (3 - 6). Suppose -3*m + g = 4*s, 0 = -3*s - 2*m + 84 + 29. Let i = s - 30. Solve i*u - 2*w + 3 = -17, -w - 5 = 5*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**2 + 49*q - 220 = 0.\nAnswer: 5, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.7 + -0.13. Let w = 0.922 + m. What is w rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 253124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 - (2 + 40\/(-1)) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42381169 and 370?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -2\/3 (c) -0.4 (d) 4\/7 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 20 = 2*f. Suppose f*x = 8*x - 148. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -4*y**5 + 816*y**4 + 7568*y**3 + 21192*y**2 + 22964*y + 8520 = 0.\nAnswer: -5, -2, -1, 213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -329255 or -329248?\nAnswer: -329255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/5)*o)\/o**0)\/(o**(-2\/19)*o*o**(-1\/5)) assuming o is positive.\nAnswer: o**(48\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 14667.16 to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a micrometer in nanometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -2708, -4 in increasing order.\nAnswer: -2708, -5, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 33\/(((4290\/(-65))\/(-264))\/((-2)\/3))\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -7, -4 in increasing order.\nAnswer: -7, -4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 153507359 and 184?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-540)\/(-11160))\/(((-2)\/(-3))\/((-70)\/(-63))*-5).\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 71001\/8, -0.1, -3, -1.21?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 91 - 87. Let o = 19 - 6. Solve -i + 2*g = -o, 4*g = s*i + 2 - 34 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -21.\nAnswer: -5\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -8*b - 1. Let h(t) = 638*t + 7. Determine -6*d(z) - h(z).\nAnswer: -590*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 14, -1\/2, 0.1, -1\/5, 0.02?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a**4 - 5056*a**3 + 25156*a**2 + 30216*a = 0.\nAnswer: -1, 0, 6, 1259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - t = -44. Suppose -69*o - 24 = -1128. Calculate the smallest common multiple of t and o.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01*-0.1.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 101.771357 + 1348\nAnswer: 1449.771357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 93 + -93. Let m(j) = -2*j**2 - j + 1. Let r be m(-2). Sort r, 4, v in ascending order.\nAnswer: r, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6543 is divided by 1083?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 19 - 51. Let x be v\/3*3 - (4 - 0). Calculate the greatest common factor of x and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 16) to base 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 465a (base 11) to base 12\nAnswer: 3657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48\/55 + -667\/770. What is the common denominator of -107\/110 and y?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2938 is divided by 1465.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1248966413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (5*(-1 + sqrt(475) + sqrt(475) - sqrt(475)) - (sqrt(475) + sqrt(475) + 0 + -3) - (0 + (-2 + sqrt(475))**2)*3))*1.\nAnswer: -1441 + 75*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 320166648 and 344.\nAnswer: 320166648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 116886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/84*(-3 - 57\/(-15)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k**5\/3 - 29*k**4\/3 + 71*k**3\/3 - 64*k**2\/3 + 4*k = 0. Calculate k.\nAnswer: 0, 1\/4, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22*((-980)\/(-224))\/35?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.4 + 1. Let m = -0.4 - x. Let y = m - 0.9. What is the closest to y in 2, -0.1, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 20*q**2 - 226*q - 5261. Determine d(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 136.1 - 131.1. Which is the third smallest value? (a) -1\/5 (b) k (c) 0.56 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 2:28 AM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*q + 396*q = 648 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 1195643*p**2. Let t(l) = -3*l**2. Give t(y(c)).\nAnswer: -4288686550347*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -10310*g. Let r(u) = 2*u - 4. Give r(i(c)).\nAnswer: -20620*c - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2062098 to the nearest integer?\nAnswer: 1436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1570511227.\nAnswer: 1570511227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/217 and -7 - (11 + (-35253)\/1953)?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-2)*-2 - (0 + 0). Let k be (-1 - 15\/(-3))\/(1\/h). Solve -3*a = -0*f - f - k, -4*f + 3*a = 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -5505 + 8*i**2 + 5505. Let o(h) be the second derivative of -h + 0*h**3 + 0*h**2 + 0 + 1\/6*h**4. What is n(o(u))?\nAnswer: 32*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5766853 (base 9) in base 12?\nAnswer: 10627a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*q + 62265835 = 62267685 for q.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -48\/26767 and -43\/3408.\nAnswer: 1284816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1462 + 1465. Let j = 0 + 0. Suppose j*h = n*h - 42. Calculate the smallest common multiple of h and 22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x + 3. Let l(a) = 2*a**2 + 4*a + 1. What is the remainder when l(-6) is divided by u(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -0.474599\nAnswer: 0.949198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 45437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -1 - (31 + -28) - 12.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6307943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 3*h - 2. Let c be ((-52)\/16)\/(2\/(-8)). Let o = -7 + c. Suppose 3*i + 2*g = -1, 3*i + g - 34 = o*g. Determine n(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2464856089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -13. Suppose -56 = -3*h - 0*u - c*u, -64 = -3*h - 4*u. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/h**(-2\/11)*h)\/h)\/h**5)\/(h*h*h\/(h\/h**(-7))*h\/(h*h*h**(-5)\/h)))\/(h**(2\/13)\/h**(2\/21))**2 assuming h is positive.\nAnswer: h**(-11818\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 - 1680*h + 141120.\nAnswer: 5*(h - 168)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 10 = 3*p. Let i(n) = -1 + 1 + n**p. Let w(g) = g**3 - 3*g**2 - g - 1. Suppose 2*b + 12 = -2*v, 2*b = -4*v - 67 + 49. Give v*i(m) - w(m).\nAnswer: -m**3 + m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fx when two letters picked without replacement from lkfxdfff?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 0.398.\nAnswer: 5.602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence clp when three letters picked without replacement from {d: 1, c: 2, l: 6, a: 3, z: 2, p: 4}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2, 6, 4, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 20*a - 75. Give p(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (8\/(-14) + (-8352)\/1015).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 k, and 2 a when four letters picked without replacement from {x: 1, i: 1, y: 1, b: 1, a: 5, k: 4}.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1108805?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7219?\nAnswer: 7219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 89*h**2 - 237*h + 1916. Calculate x(-86).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 217940 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 0 - (5 + -19 - (-14 + 42))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 19889 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3\/3509 - 340403\/35090. Let z = -5769853\/6 + 963952. Let x = z - 2317. What is the common denominator of x and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 6*r + 47 - 1 - 34. What is i(-5)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 1:36 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 0)*4\/(-8). Suppose n*o - o + 8 = 0. Solve -7 = -5*h + o for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -36 - o + o - 129*o**2 - o**4 + 2*o**3 + 131*o**2 as z*o**2 + k + y*o + c*o**3 + v*o**4 and give k.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a factor of 589236937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a + a + 2*a**3 + (4*a**3 - a**3 - 2*a**3)*(11 - 1 - 21) + (-2*a**3 + 5*a**3 - a**3)*(0 + 1 + 1).\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p**5 - 130*p**4 - 655*p**3 + 1680*p**2 - 900*p = 0. What is p?\nAnswer: -6, 0, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**5\/5 + 98*f**4\/5 + 202*f**3\/5 + 102*f**2\/5 = 0 for f.\nAnswer: -1, 0, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 2797619?\nAnswer: -2797621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -317*r + 3*r**2 + 685*r - 368*r.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 9*t + 45. Let z be p(-3). Let y be (-36)\/z - 7\/(-4). Which is the second biggest value? (a) 1\/5 (b) y (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 + 0.4. Suppose -11 = -2*l - 121. Let j = l - -223\/4. Which is the closest to z? (a) 3 (b) j (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 9*t = -90. Calculate the remainder when t is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*t - 29 - 13. Suppose t = -z + 7. Solve 4*p + 4*f - 1 = -z, -4*p - 5 = 3*f for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -3\/7 (c) -2\/27 (d) -0.1 (e) -2\/131\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**5\/9 + 278*l**4\/9 - 12818*l**3\/9 + 72734*l**2\/3 - 123900*l = 0. What is l?\nAnswer: 0, 9, 21, 50, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + -4 + (-344208)\/25182. Let s = -3\/1399 - k. What is the common denominator of s and -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3 - 82*z - 1 + 10 + 21. Is v(-3) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**2 - 4*s**3 - 6 + 2 + 3*s**3 - s + 0. Let d(w) = 6*w**3 + 10*w**2 + 6*w + 21. Let r(f) = 2*d(f) + 11*l(f). What is r(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2065508, -4131005, -6196500, -8261993, -10327484, -12392973, -14458460?\nAnswer: -16523945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v**2 - 69*v + 3 + 69*v)*(-50*v + 35*v - 47*v).\nAnswer: -372*v**3 - 186*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -44, -104, -3 in decreasing order.\nAnswer: -3, -4, -44, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 21*m**5 + 11271*m**4 + 30483*m**3 + 24033*m**2 + 1596*m - 3204 = 0.\nAnswer: -534, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*q**4 + 11*q**4 + 2*q**2 + 3*q**3 - 2 - 2*q**3 - 3*q**4 - 3*q to the form x*q + p*q**2 + l*q**3 + h*q**4 + a and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.13 and 6.9779701.\nAnswer: 6.8479701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5497, 21910, 49265, 87568, 136825, 197042, 268225, 350380?\n\"Answer: y**3 + 5465*y**2 + 11*y + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.1 = -2268?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 172, 617, 1300, 2215, 3356, 4717, 6292, 8075?\nAnswer: 10060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**3 + 137*i**2 - 69*i + 322. Determine h(68).\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 510242946 minus 57389?\nAnswer: 510185557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -2\/4364913?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 12. What is the smallest common multiple of o and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5921610 divided by -2?\nAnswer: -2960805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010041556 rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35*(-46)\/(-483)*(-84)\/20*-4.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 m when four letters picked without replacement from xmxxmmxmmxxmmxxmxm?\nAnswer: 36\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -0.062064?\nAnswer: -0.0248256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, 40\/9, 2\/5, -5, 3 in increasing order.\nAnswer: -5, 0.05, 2\/5, 3, 40\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 4\/39 (b) -3 (c) 2 (d) -2418\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -c**6\/6 - 157*c**5\/20 - 71*c**4\/6 + 152*c**3\/3 - 5179*c. Factor z(k).\nAnswer: -k*(k - 1)*(k + 2)*(5*k + 152)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2236*f**3 - 192284*f**2 + 195564*f - 1044 = 0. Calculate f.\nAnswer: -87, 3\/559, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131669.\nAnswer: 353, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 10. Let j be -9*((-21)\/9 + 2). Suppose c = j*z + 1 - 2, -3 = c - 5*z. Put 1, i, c in decreasing order.\nAnswer: i, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 5 - 2)*(8*w - 2*w - 2*w) + 4*w - 2*w - 9*w.\nAnswer: -47*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 6705551?\nAnswer: -6705548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2740*l - 31279 = 330401 for l.\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z + 4*j + 3, 0 = -2*j - 2 + 8 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*g + 46*g + 46 = -4*j, 3*g - 2*j = -53. Let b(r) be the second derivative of r**4\/4 - 4*r**3 - r**2\/2 + r. Is b(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -48\/205, -2\/9, -3 in ascending order.\nAnswer: -3, -2, -1, -48\/205, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5208 = 82*s + 370. Sort 0.1, -1, 1, s.\nAnswer: -1, 0.1, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -29533, -58959, -88385?\n\"Answer: -29426*v - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365 is divided by 154.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -14214.\nAnswer: -42642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ecq when three letters picked without replacement from {w: 1, c: 1, e: 1, q: 2, z: 1, v: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5, 2, 1, 2, 5, 10?\n\"Answer: m**2 - 6*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**3*i + 7*h**2*i + 179218*h**2 + 1877*h*i - 75*h + 5*i wrt h.\nAnswer: 12*h*i + 14*i + 358436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-30)*(-95)\/114.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 4*k = 3 - 6, 4*l + 5*k = 3. Let o(i) = i**3 + 3*i**2 + 4*i + 7. Calculate o(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 84797306 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + 6 + -4 - -37. Let l = c + -39. What is the tens digit of l\/(-2)*(-8 - 22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/90 + (-62)\/(-15). Suppose -5*x = h*f - 61, 0 = -2*f + f + x + 4. Let p = -5 + f. Which is the second smallest value? (a) p (b) -2\/7 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -3)\/1 - (-2)\/9\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/80 + -15*207304\/(-400). What is the greatest common factor of 46 and q?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bmj when three letters picked without replacement from {j: 1, n: 1, m: 2, b: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 42.7 and 3.\nAnswer: 128.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 5) + -2 + 7. What is the second derivative of -2*b + 7*b**k + 9*b**3 + 5*b**3 - 8*b**3 + 21 wrt b?\nAnswer: 36*b + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = q, 3*c + 3*q + 0*q = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-3\/4)\/v)\/v*v*v**(-4))**(-13)*((v\/v**(-2\/15))\/v*v**1*v)**(-9) assuming v is positive.\nAnswer: v**(1111\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2018, 2014, 2010, 2006, 2002?\nAnswer: 1998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 5. Let q be u(0). Let f(c) = -c - 8. Let v be f(q). Let l be 12\/30*15*(-2)\/12. What is the closest to 2 in v, -4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -9*p - 21. Which is the second biggest value? (a) -2\/3 (b) -1\/2 (c) 0.5 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 534461.1 to the nearest ten thousand.\nAnswer: 530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2103630 + 23*v**2 + 149*v + 2103630.\nAnswer: 23*v**2 + 149*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 115399327*t**3*x*z + 12*t**2*x*z + 440*t**2 - 6*t*x + 15*t wrt t.\nAnswer: 692395962*x*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.44 and 160.\nAnswer: 70.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 457 divide 179578350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1701 divided by -1140.\nAnswer: 567\/380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 171677 and 0.038531.\nAnswer: 171677.038531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 12 = 4*g, 12 = 4*c - 85639*g + 85643*g for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = 3*n - 69 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 5*y**2 + 23*y + 20. Let h be r(-9). Let f = h - 2875\/21. What is the nearest to 1\/4 in -1\/5, f, -0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -88*(-2591)\/30 + -2. Let v = 7603 - q. What is the common denominator of 65\/18 and v?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 45 = -m. Let l = -449\/9 + m. Which is the closest to -4\/9? (a) -1\/8 (b) l (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-9) - (-28)\/(-3). Let n = l - -9. Find the first derivative of n + 4 + 3*z**4 + z**4 wrt z.\nAnswer: 16*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -509*d - 5352 - 2365 = 1445 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/28)\/(24\/(-84))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7227 and 30.\nAnswer: 72270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5192, -9710, -12846, -13910, -12212, -7062, 2230?\n\"Answer: 115*n**3 + n**2 - 5326*n + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9668*u + 19276*u = 9703*u - 1710 for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4 + 3998*h**3 + 2665332*h**2 + 593477928*h + 590816592.\nAnswer: 2*(h + 1)*(h + 666)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 t when two letters picked without replacement from {l: 3, t: 4, x: 4}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6251)\/94*(-1)\/((-2)\/2)*(-16)\/(-28)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 6*a**2 + 3*a + 1. Let x be g(-1). Let l be (1\/(-3))\/((-1)\/6). Sort x, l, 1 in decreasing order.\nAnswer: x, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 82.99959 + -83. Round n to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 300233 + -310?\nAnswer: 233323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 47674 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than 106238?\nAnswer: 106238.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -14*f**3 + 2*f**2 - f. Let w(l) = 1 + 115*l - 24 - 109*l. Let c be w(4). Calculate v(c).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 - 3b9a3?\nAnswer: -3b9ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -13 - 29) + 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68692 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r - 1. What is p(-11)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 358510, 358532, 358554, 358576?\n\"Answer: 22*p + 358488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of i**5\/20 - i**4\/2 + 2*i**3\/3 - 2*i. Let w be g(6). What is the highest common divisor of 16 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -182 at least -1282\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -74, 4809, 3 in decreasing order.\nAnswer: 4809, 3, -2, -3, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*j - 3523 - 2733. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 4 - 1 + 0 - 3*h. Let w = 8 - 4. Suppose -f + 2*i + 7 = w*i, 3*i = 6. Calculate a(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/13)\/p)\/(p*p*p**(-2\/5))*p**7\/p*p*p**5 assuming p is positive.\nAnswer: p**(601\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30*a*s**3*v + 2*a*s**2*v**3 + 508*a*s**2 + 19070*a*s*v**2 - a*v**3 - 11*a*v**2 - 3*s*v**2 wrt s?\nAnswer: 180*a*s*v + 4*a*v**3 + 1016*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 divided by -5?\nAnswer: 64\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7086*j**3*l**3*m - 2*j**2*l**3*m + 2*j*l**3*m + 2*j*l**2*m - l**3 - 6 wrt j?\nAnswer: -42516*j*l**3*m - 4*l**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - (-6)\/10) + -1. Let l be (6\/(-5)*-5)\/(-2). Let b be 3 + ((-58)\/16 - (l + 2)). What is the second biggest value in b, n, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n - 7*o = 5*n - 15*o + 11*o - 65, 5*o + 25 = -35*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -79*223\nAnswer: -17617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-513)\/(-126)*(-931)\/798?\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -40 + 602226?\nAnswer: 602156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-2\/23))**(2\/5) assuming k is positive.\nAnswer: k**(42\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 3*m = 11, 4*u + 3 = -3*m - 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**2 + 2*r**2 + 18 + 31 + 2*r**2.\nAnswer: 2*r**2 + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 130, 133, 148, 181, 238?\nAnswer: 325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5730 divided by -2383\nAnswer: 5730\/2383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -60186961 and -3.74.\nAnswer: -60186964.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 14*w**2 - 50*w - 15. Is 42 a factor of x(19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 747 in 5, -11\/2, 4, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -10*((-4)\/(-2))\/2. Let i be ((-12)\/15)\/(4\/p). Suppose 0*u - 382 = -i*t - 5*u, 0 = -5*u. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-6*(sqrt(2448) + -2) + -4 + (-3 + sqrt(2448) + 4 + -4)**2).\nAnswer: -7395 + 432*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*d = -37*d - 262. Let z = d - 128. Suppose 0 = 8*o - z*o + n - 2710, -3*n - 1101 = -2*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1033219.1 rounded to the nearest one thousand?\nAnswer: 1033000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of m**3\/6 + 19*m**2\/2 + 4*m. What are the prime factors of f(0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 217 divide 34061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29.8*4.\nAnswer: 119.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 303976582.\nAnswer: 2, 7, 13, 128477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**3 - 29*t**2 + 40*t + 19. What is the remainder when 58 is divided by f(13)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 511285?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**4\/7 + 16*q**3\/7 + 34*q**2\/7 - 408*q\/7 + 360\/7 = 0. Calculate q.\nAnswer: -5, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 158\/18 + 20\/90. Let s be ((-3)\/k)\/(3\/(-18)). Is (-223)\/(-4) + (-2)\/(s*-4) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 22*d - 7. Let t(r) = -r**2 + 2*r + 3. Let s be t(5). Is i(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49980 is divided by 320.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05039 rounded to 3 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1326682 by -94763.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000508831124 rounded to six decimal places?\nAnswer: 0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.1 + -1.8. Which is the nearest to -0.1? (a) -1\/4 (b) s (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 116*w**3 - 235*w**3 - 18 + 118*w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6223823356?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -501\/899 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-22) + 2450\/1617.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3183 + ((-35)\/(-21))\/(10\/36).\nAnswer: 3, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-4\/31))\/b)\/(b**(-25)\/b) assuming b is positive.\nAnswer: b**(810\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -499124, -998004, -1496884, -1995764, -2494644?\n\"Answer: -498880*y - 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100000010 (base 2) to base 7.\nAnswer: 2150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 4, 3\/19, -4 in descending order.\nAnswer: 4, 3\/19, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2472904*g**3*j**4 - 2*g**3*j - 104428*g*j**2 wrt j?\nAnswer: 59349696*g**3*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29570 = -51*c + 28774. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -39*b - 72. What is h(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-15)\/(-6) - 2)\/((-5)\/(-129530)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -123.3292 - -0.1292. Let s = t + 123. What is the third biggest value in s, -4, -9\/2, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -16248, -65002, -146256, -260010?\n\"Answer: -16250*d**2 - 4*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of o**7\/105 - 23*o**6\/30 + o**5\/60 - 169*o**3\/6 + 7*o**2 + 18*o. What is the third derivative of i(w) wrt w?\nAnswer: 48*w - 552","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 842379.4 decades in millennia?\nAnswer: 8423.794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 5*g + 185, -24 = -a - 3*g + 25. Let r(l) = 3 - 3 + l - 3. Let u be r(8). Calculate the highest common factor of a and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.846799378 to 4 dps.\nAnswer: -1.8468","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 39, 89, 153, 237, 347, 489?\n\"Answer: b**3 + b**2 + 40*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 346 + 140. Let u be (1\/(-2))\/((-9)\/l). Solve 4*d = d + u for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h - 1. Let a(r) = -12*r - 22. Let w(u) = -2*a(u) + 4*n(u). Find the first derivative of w(g) wrt g.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 3*x + 4*w, 30 - 36 = 4*x - 5*w for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 263061498 a multiple of 144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38880 = -2*k + 26*k. Is k a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a minute in seconds?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - y + 0)*(-y + 0*y - y) + 0 - y**2 + 0 + 177*y - 177*y - 111*y**2.\nAnswer: -110*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -574, -2104, -5130, -10150, -17662, -28164, -42154?\nAnswer: -60130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4 - 1.45. Let t = 1.2 + y. Let g = t - 0.05. Which is smaller: g or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 5*m - 32, -5*m = -0*m + 15. Suppose -2*f + 3*f = 2*t + k, 116 = 3*f - t. What are the prime factors of f?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*28\/(-616)*-4\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/4 of a millennium?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 divided by -868?\nAnswer: -215\/434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 132 + 39 = 0. Suppose 0 = 4*y + v - 5. Let k(m) = m**3 + 14*m**2 + 7*m - 18. What is the tens digit of k(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + s - 7. Let b(d) = 5*d**2 + 6*d - 37. Let x(v) = 2*b(v) - 11*i(v). What is x(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81617566 divided by 2.\nAnswer: -40808783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.05 - 2.05. Let m = a + 3. Which is bigger: -7 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.825402 centuries to decades.\nAnswer: 28.25402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -8*p + 8. Let r be (-12 - (-3)\/1) + 3 + 0. Is m(r) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/756*6\/(-4).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62496 and 3224?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/7*3*7364\/(-50496)\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 333310003022 + 0?\nAnswer: 333310003022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 38.8?\nAnswer: 38.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -192147, -192146, -192149, -192162, -192191, -192242, -192321?\nAnswer: -192434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 10*b**3 - 7*b**2 + 11*b + 33. Let u(l) = 5*l**3 - 3*l**2 + 5*l + 16. Calculate -3*n(d) + 7*u(d).\nAnswer: 5*d**3 + 2*d + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 62 - 23. Let w = b + -39.00000108. What is w rounded to 7 decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (sqrt(320) - (2*sqrt(320)*-4 + sqrt(320))))*5 + -5*5*((sqrt(320) + -1)*-1 + sqrt(320) - sqrt(320)))**2.\nAnswer: -52000*sqrt(5) + 1354500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-885)\/(-531)*(-540)\/25?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -609*r**2 + 1820*r + 11. What is q(3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 + -31.0086. Round o to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 14 - 3 = 5*j, -j - 14 = -2*z. Suppose 2*a - z = 3. Let n(p) = p**3 - 7*p**2 + 8*p - 6. List the prime factors of n(a).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qoqqqooqqqoooooqoqoq. Give prob of sequence qqq.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 619168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 1330?\nAnswer: -2\/665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 23*m + 13. Suppose 69*g - 70*g = -406. Calculate the remainder when g is divided by y(3).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -3*y + 4. Let v be ((-22)\/3)\/(10\/15). Let l(h) = h**2 + 9*h - 19. Let a be l(v). Solve -10 = -y*i + d, -i + a*d + 18 = 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**2 + 2*z + 5. Let w be h(2). Suppose b - 6 = -3*i - 4, b + 2*i - w = 0. Sort 0, 1, b.\nAnswer: b, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -aa9 (base 14) in base 11?\nAnswer: -1648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8461275227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5654 is divided by 105?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4236 is divided by 250.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 2235?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of 2*a**5\/15 + 7*a**4\/6 + 5*a**3\/2 + 9*a**2. Is u(-19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 2*a + 11 + 2, 0 = u - 5*a + 7. Let k be (-80)\/u*(-54)\/4. What is k rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10402 + -5?\nAnswer: 103ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 10230 = 2*r, 0 = q - 6*q - 3*r + 25615. Round q to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = s + 3. Let n be 2 + -2 - 1\/s. Do 5 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 930.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + -3)*44\/(-132). Which is the second smallest value? (a) 56\/3 (b) p (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z - 4. Let d be (3\/(-1) - -3) + 3. Let n be h(d). Is n greater than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (159*c + 167*c - 185*c)*(9 + 4 - 36)*((1 + 3 - 2)*(0 + 4 - 3) + 1 + 0 + 0)*(-1 - 1 + 1)*(-4 + 4 - 2*c**3).\nAnswer: -19458*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3608)\/820)\/((-2)\/570 + 0). What is the greatest common divisor of 228 and l?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 830 divided by -830?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2597, -20930, -70719, -167690, -327569, -566082, -898955?\n\"Answer: -2621*o**3 - 2*o**2 + 20*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15997 is divided by 262.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 11:54 AM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 8*d - 12. What is u(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 11*x**2 + 21*x - 1. Let u be v(-8). Calculate the highest common divisor of 1 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from rwrwrrrwwrr?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -o**5\/100 + 19*o**4\/60 - 33*o**3\/10 + 81*o**2\/10 - 62*o + 58. Let u(y) be the first derivative of i(y). Solve u(k) = 0.\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 542993 to the power of 1\/2, to the nearest integer?\nAnswer: 737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1044)\/203)\/(32\/168)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6039789257 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 107\/(-5) + (-8)\/(-20). Let a = 25 + t. Let c(o) = 3*o**2 + 37*o - 27. Let j be c(-13). Sort a, j, 0 in decreasing order.\nAnswer: a, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 631740434?\nAnswer: 2, 13, 17, 43, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 < 31\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 9*r - 57. Let c be o(-12). Let h = c - -175. Solve -6*x = -h*x - 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 768\/55699 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1496739887?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28156051*y**4 - y**2 - 29247835*y wrt y?\nAnswer: -337872612*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(11) + sqrt(176))*6)**2.\nAnswer: 89100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 13*l + 22. Determine i(-13).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/19820 and 111\/4360.\nAnswer: 4320760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 47 - 1?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 16636000 to the nearest one million.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.07621 - -0.04121. What is the nearest to -2\/5 in 0, l, 11\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1119, -2239, -3359, -4479?\nAnswer: -5599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12009*x**4 + 8*x**3 - 161*x**2 + 182709753 wrt x.\nAnswer: -48036*x**3 + 24*x**2 - 322*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2805*p - 2 - 2807*p + 7. Let q be r(4). Let b(j) = j**3 + 3*j**2 - 4*j - 3. What is b(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**2 - 35*d - 36*d + 49*d**3 + 65*d wrt d?\nAnswer: 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yp when two letters picked without replacement from cypyppcy?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -180861, -723454, -1627777, -2893830?\n\"Answer: -180865*m**2 + 2*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002683718 rounded to six decimal places?\nAnswer: -0.000268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18798*o - 18798*o - 3043*o**3 + (-1 - 3 + 5)*(0*o**3 - o**3 + 3*o**3) to the form q + z*o**3 + y*o**2 + t*o and give z.\nAnswer: -3041","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-52)\/5 - (308\/11 + -31) - 10?\nAnswer: -87\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -217\/3 - -73. Let k = 0.0552 - -0.0448. What is the second biggest value in 4, 0.01, k, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(1053) + -1 + sqrt(1053)*3 + sqrt(1053) + sqrt(1053) + sqrt(1053) + 1 + -5)**2.\nAnswer: -630*sqrt(13) + 51624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 1:49 PM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-3 + 9 - 4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3*l = -2. Suppose -3*z = w + 10, -z + 12 = 4*w - l*z. Suppose -x - n + 30 = -5*n, 69 = 4*x + n. Solve 3*d - x = 2*a - d, 6 = w*d for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 4*b + 26. What is the remainder when 65 is divided by n(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*r - 30 = -47*r. Suppose 2*y + 3*m = 0, -y + m + 8 = y. Sort r, y, -5, 0 in decreasing order.\nAnswer: y, r, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 11513, 46055, 103625, 184223?\n\"Answer: 11514*w**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 19. Let j = 65 + -43. What is the lowest common multiple of j and (-275)\/(-20) + 4\/x?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 88.2592944497709 and -0.3?\nAnswer: 88.5592944497709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*((sqrt(98) - -2*sqrt(98)) + 1)*4)**2 - -3*(1*(-5 + sqrt(98)*-2 + sqrt(98)))**2) + 0.\nAnswer: 24402*sqrt(2) + 508977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 874?\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-2) - ((-15)\/(-6) + -9). What is the highest common divisor of h and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -3*k**4\/7 + 81*k**3\/7 + 1989*k**2\/7 - 4209*k\/7 + 306 = 0.\nAnswer: -17, 1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -58490*r**6 + 55531*r**2?\nAnswer: -7018800*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 23 (b) -1 (c) -5\/9 (d) 2367 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -3.786, 1\/4, 5, 74, 6, -2\/3, -4?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/161 >= -1.2212?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-46 - -34) - 53?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6853257 divided by -4.\nAnswer: -6853257\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/28 - (17 + (-4884)\/168). Solve x*l - 18 = 6*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 991.9104 decades?\nAnswer: 9919.104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 5 + 25 = 0. Calculate the greatest common divisor of 30 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -284713, -1138843, -2562381, -4555327, -7117681, -10249443?\n\"Answer: -284704*m**2 - 18*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51544*v + 16 + 7 + 51534*v - 8 + 3*v**2 to x*v + h*v**2 + y and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z. Let o(d) be the first derivative of -d**3 + 7. Let c(h) be the third derivative of h**5\/20 - h**2. Let x(s) = 5*c(s) + 6*o(s). Determine x(u(r)).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2814*g - 2358*g + 713*g)*(1 - g - 1) + 4 + 2*g**2 - 4 - 5*g**2 + 2*g**2 + 4*g**2 + (5*g - 2*g - g)*(-1 + 1 + 2*g) as r + o*g**2 + z*g and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.01 - -0.59. Let p = y + -4.6. Let j = 1.86 - -0.14. Which is the second smallest value? (a) 4 (b) p (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 7. Let v = 6 + -9. Which is the nearest to -0.1? (a) t (b) v (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 454660.\nAnswer: 2, 5, 127, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - n + 6. Let p be x(0). Let m be p\/21 - 8\/28. Let o = -3 + 1. Which is smaller: m or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1 - 27\/28*-2 and (3 - 6) + (-10)\/(540\/(-639))?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 28583061.\nAnswer: -2\/28583061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(204))\/(-2*sqrt(192) + sqrt(192)) + (sqrt(85) + (sqrt(85)*2 + sqrt(85))*-1)\/(6*(sqrt(5) + sqrt(20)\/sqrt(4))))**2.\nAnswer: 425\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 324?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -70 - -94. Let m be ((-1)\/3)\/(y - 25). What is the closest to -0.03 in -0.5, m, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-33)\/55 + (-43)\/(-30). What is the smallest value in p, -1\/133, 0.3?\nAnswer: -1\/133","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 c when two letters picked without replacement from ceceekeckeeekc.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 603\/699116?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 256125 and 750?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.52 - 1.42. Let u = t + -7.67. Let w = 0.07 + u. What is the closest to -1 in -2\/11, w, 2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -914, -1825, -2730, -3629?\nAnswer: -4522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46724 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 - 404600*y - 404601.\nAnswer: (y - 404601)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1631*-299.97\nAnswer: -489251.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, l: 2, p: 1, d: 1, o: 1, m: 1}. What is prob of sequence pe?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 20. Differentiate 2*z**y - 56 + 3*z**2 + 18 wrt z.\nAnswer: 10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, d: 2, f: 9, e: 2}. Give prob of picking 2 e and 1 f.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 246827530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s. Let m(h) = 14*h - 4. Let b(y) = m(y) - 12*t(y). Let u(j) = -3*j + 7. Calculate -5*b(z) - 3*u(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g - 2*g + 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 7 = 7. Let t(a) = 20*a**2 - 10*a + 4. Is 52 a factor of t(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 88065, 177043, 266021, 354999, 443977, 532955?\n\"Answer: 88978*p - 913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of r**4\/24 + 5*r**3\/6 + 9*r**2. Give q(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**3 + 8*y**2 - 4*y + 3. Is q(3) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - 3*p**3 + 0*p)*(2257*p + 6412*p - 744*p + 889*p).\nAnswer: -26442*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-10)*n*n*n*n**12\/n*n**1*n**11 assuming n is positive.\nAnswer: n**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uc when two letters picked without replacement from {c: 4, u: 1, f: 5}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 69 and 1209?\nAnswer: 27807","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**2 + 8 + 3*s**3 - 14 - s**2 - 4*s**3 to m*s**2 + z*s + u*s**3 + n and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -l + 192. Suppose -l = 20*v + 156. Let r = -3.6 - -4. What is the closest to -0.1 in r, v, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = g + a - 5, -2*a + 10 = 2*g. Let w(z) = -2*z - 2*z**2 + 6 - 6*z - 6*z**2 + 20*z**2 - 10*z**2. What are the prime factors of w(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 345 = -r + 6*r. Let s = -45 + r. Does 12 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by -43\nAnswer: -13\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2. Let v(a) = -16224242*a. Calculate r(v(h)).\nAnswer: -263226028474564*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (68\/12 + -6)*-12. Suppose 11*h - 5*n - 3 = 9*h, m*h - 46 = 2*n. Let t = -1 - -3. What is the lowest common multiple of t and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5*((-3514)\/(-35) - -4). Let d = g + -497. Let w = 53 - -43. Calculate the remainder when w is divided by d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9403, -9415, -9451, -9523, -9643, -9823?\n\"Answer: -2*j**3 + 2*j - 9403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (186\/(-10))\/(2 - (-54)\/(-30)). Let r = -91 - q. Let a be -2*(-1 - (3 - -2)). Solve b = -r*b - a for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2233 + -3?\nAnswer: 2230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - 3*k - 5. Let h be b(5). Find the third derivative of -12*z**5 + 2*z - 5*z**2 - 2*z + 11*z**h wrt z.\nAnswer: -60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 33*l**5 + 459*l**4 + 1575*l**3 - 147*l**2 = 0.\nAnswer: -7, 0, 1\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 4*k + 5*t = -6058, -k = -3*t - 1518. Is 12 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-3))**(-2\/47)*(r**2)**(-6))**(-18) assuming r is positive.\nAnswer: r**(10044\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18\/(-27)*2\/((-4)\/3). Let i(s) = 4*s**2 - 3*s - 5*s**2 + 3*s - 9*s**3. Calculate i(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -78 divided by -5038\nAnswer: 39\/2519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -105. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -84, -87, -90, -93, -96, -99?\n\"Answer: -3*u - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -610.838 to the nearest integer.\nAnswer: -611","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 221 and 11807.\nAnswer: 2609347","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 10}. Give prob of sequence uuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6362*f**3*x - 422*f**3 + 5389*f**2 - 8*f*x + x - 149 wrt f?\nAnswer: -38172*x - 2532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4351123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -806, -803, -790, -761, -710, -631?\n\"Answer: m**3 - m**2 - m - 805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 29*m - 10. Let i be n(-6). Let z = -68 - i. What is the highest common divisor of z and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 - 17. Let s(m) = 2*m - 8. Let k be s(6). Let w = 6 - k. What is the smallest common multiple of a and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-95 + 97)*(-3334)\/(-4).\nAnswer: 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (7 + (-6 - (-4 - -4))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(400)\/((1*sqrt(200) - sqrt(200)) + sqrt(200)) + (sqrt(216)*1)\/(sqrt(144)\/sqrt(3)))**2.\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 437608.\nAnswer: 2, 19, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/15 - (-876)\/(-30). Let t = p - -66. Let -37*w - 5*w**2 + 5*w**5 - 15*w**4 + 15*w**3 + t*w = 0. Calculate w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -164875, -1318918, -4451327, -10551286, -20607979, -35610590?\n\"Answer: -164864*p**3 + p**2 + 2*p - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -24, 7 in descending order.\nAnswer: 7, 2, -3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m*m**(-11)*m)\/m**(1\/7))\/((m*m\/m**(5\/3)*m)\/m*m\/m**(-4\/3)))**(2\/3) assuming m is positive.\nAnswer: m**(-454\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/6 + 4\/(-6). Let w = -181 - -184. Suppose 4*g = g, -g = r - w. Solve h = -4*c - 2*s + 6, c + 0 = r*s - 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38883016589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h + 9. Let u be r(-4). Let y(t) = -t**3 + 6*t**2 - t - 4. Let q be y(u). Suppose f - q + 4 = 0. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 8 - 1. Calculate the smallest common multiple of 9 and (1*a)\/(-1 - 0).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qttqwql. What is prob of sequence lt?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -484*a**7\/105 - 340*a**3\/3 + 7*a**2 + 50*a. Differentiate k(n) wrt n.\nAnswer: -3872*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 5, -8*g = -12*g - 3*v + 27. Let i(y) be the first derivative of -1\/36*y**6 + 0*y - g + 0*y**5 + 0*y**2 + 0*y**3 + 1\/24*y**4. Factor i(p).\nAnswer: -p**3*(p - 1)*(p + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(143) - -6*(-3*sqrt(143) - sqrt(143)))\/(sqrt(11) - 2*sqrt(66)\/sqrt(6)))**2.\nAnswer: -138*sqrt(13) + 6886","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0278 - 0.105.\nAnswer: -0.0772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 29432 rounded to the nearest one hundred?\nAnswer: 29400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 314 divide 43860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72224 and 15456.\nAnswer: 34884192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.35 and 4.57177?\nAnswer: -1.6001195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in eleven halves of a micrometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, x: 15}. Give prob of picking 1 x and 3 p.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3966*v**3 + 7*v**2 - 5*v. Let s be h(1). Suppose 3956 = -6*z + s. Factor 0 + 0*p - 3\/2*p**5 + 0*p**2 - z*p**3 - 4*p**4.\nAnswer: -p**3*(p + 2)*(3*p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 327*h + 313. List the prime factors of o(3).\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29121027 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: ((-10)\/75*6)\/(-2)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -h**6\/20 + h**5\/60 + h**4\/12 + h**3\/3 + 10*h**2. Calculate q(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3365\/45 - 2\/(-9))*1. Suppose 2*a - 70 = 5*h + f, 2*h = 6. Let v = a - -56. List the prime factors of v.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -13 (c) -9\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (1*sqrt(180))**2)*-4*-1*-1*4.\nAnswer: -2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 2*a + 0*a)*(0*a**2 - 5*a**2 + 3*a**2) - 3*a**3 + 0*a**3 + 2*a**3 + (8 - 5 + 0)*(-2*a**3 + 2 - 2).\nAnswer: -9*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 77\/1374598?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 25715196 divided by 494523\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3*z = 12, 7*s - 4*z + 17 = 7. Solve 20 = -s*t - 8*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/4))**(-1\/18)*((u*(u**0*u)\/u)\/u)**(1\/19))\/(u**4\/u*u*u\/(u*u\/u**(2\/9)))**41 assuming u is positive.\nAnswer: u**(-1057\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + j = -3250, -c = 2*c + 5*j - 1978. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8971267*y**3 - 10*y**2 + 19*y - 3156111 wrt y.\nAnswer: -53827602*y - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -195226500 rounded to the nearest one hundred thousand?\nAnswer: -195200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, f: 1, w: 2, p: 1, i: 1, m: 2}. Give prob of sequence ap.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -0.413496?\nAnswer: -0.1653984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -466729, -933459, -1400185, -1866907, -2333625, -2800339?\n\"Answer: 2*a**2 - 466736*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n. Let u(x) = 12331*x**2 + x - 5. What is u(r(b))?\nAnswer: 12331*b**2 + b - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 203.272 - 24968.982.\nAnswer: -24765.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39 + 31. Let j(x) = -7 + 9*x**2 + x**2 + x + x**3 - x**2. Is 13 a factor of j(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 + 2574320*f + 414195216400.\nAnswer: 4*(f + 321790)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-115 + 64 - -81 - (20 - -2))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - y**2 + y. Let m(g) = -4*g**3 + 3*g**2 - 3*g. Give 6*l(p) + 2*m(p).\nAnswer: -14*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) 0.3 (b) 78 (c) 0.07 (d) -2 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -0*g - 4*j + 23, g + 28*j = 68 + 116 + 11 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 5*d + 1. Suppose -3*l + 0*l + 18 = 0. Let j be i(l). Suppose -t = 3 - j. Solve t*c + 3*w = -c + 5, 14 = -2*c + 2*w for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**5\/4 - 25*s**4 - 143*s**3\/2 + 122*s**2 + 287*s\/4 - 97 = 0.\nAnswer: -97, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -555.7 + 556. Let k = -7\/3 + 2. What is the closest to -3 in o, k, 2\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -14. Let t = 10 + q. Solve -t*d + 9 = -6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -84463.99999935117 + 84464. Round s to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-39)\/30*16)\/(((-52)\/143*-11)\/10)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(2*sqrt(152) - sqrt(152)))\/(sqrt(32)*-6) - (sqrt(76)\/(sqrt(4)*1) + 2 + sqrt(19) + -5))**2*-2.\nAnswer: -13171\/72 + 25*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - a34975?\nAnswer: -a34970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4*w**2 + 0*w**2 + 0*w**2 + w**2. Let m(i) = 20*i**2. Determine u(m(t)).\nAnswer: -1200*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 11) in base 13?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 74797158 times 0.4\nAnswer: 29918863.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97 = p + 20*l, 0 = -4*p + 5*l + 39 - 2 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(1331)*-1)**2 - -2*sqrt(1331)*2.\nAnswer: -66*sqrt(11) + 1356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 - 52914*u**2 + 211593*u + 264510.\nAnswer: 3*(u - 17634)*(u - 5)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -214065 + 4?\nAnswer: -214061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -46*f**2 - 4*f + 61*f**2 + 3*f. Let o be p(6). Suppose -o = -7*h + h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32852 is divided by 658?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123109714.\nAnswer: 2, 7, 13, 676427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 17, 43, 79, 125?\nAnswer: 181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 24*p. Let a(y) = -49063*y + 156. Calculate t(a(g)).\nAnswer: -1177512*g + 3744","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 times 348.23?\nAnswer: 20.8938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.54258 and -4.8?\nAnswer: 12.204384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 31216273?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -123102001211 (base 4) in base 5?\nAnswer: -3312323332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 5*l + 6. Let g be f(-6). Let q(i) = -i - 2. Let d be q(-6). Suppose -3*p + 2 = -d. Put p, g, -5 in increasing order.\nAnswer: -5, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (36\/10)\/(192\/(-640)) - 414\/(-810)*10\nAnswer: -62\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 824110201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2275, 2149, 1817, 1177, 127?\n\"Answer: -17*l**3 - l**2 - 4*l + 2297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 + 8 + (-27)\/6)*-10. Solve 15 - q = -2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(2\/25))\/c*c\/((c*c**11)\/c))\/(((c*c**5\/c)\/c)\/(c\/(((c\/(c**(-10)\/c))\/c)\/c*c))) assuming c is positive.\nAnswer: c**(-598\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -286146, -285887, -285650, -285441, -285266, -285131, -285042, -285005?\nAnswer: -285026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/15)\/(y*y*y**(-1\/7)*y))**(-9) assuming y is positive.\nAnswer: y**(858\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g - 2*g**2 + g + (6*g + 9 - 9)*(-3*g + 4*g + 0*g) + 0*g**2 - g**2 + 0*g**2.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*s**2 + 3 - 8*s**2 - 2 + 1 - 2*s + 4*s**4 to q + j*s**4 + w*s**3 + u*s + c*s**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2)*1)**2*4 - (sqrt(6)\/sqrt(3) + -1)**2.\nAnswer: 2*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2\/2 - 1411*t\/4 + 9537.\nAnswer: (t - 204)*(6*t - 187)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2459424330?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 71357962?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 415*w - 2449 + 1217 = 1258 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2 = 10. Let j be 1*g\/6*-10. Find the second derivative of -2*l - 2*l**5 + 4*l + 0*l**j - 5*l wrt l.\nAnswer: -40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 11*u + 2. Let y(c) = -46*c - 9. Let g(x) = 9*r(x) + 2*y(x). Let d(n) = 3*n. Let v(i) = 5*d(i) - 3*g(i). Let s(q) = -9*q**2. What is v(s(f))?\nAnswer: 54*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + 65 = 2*h. Let i = h + 6. Let x(v) = -v**2 - 18*v - 12. Is x(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 - (7 - -2)) + -10 + (-5 - -9)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iinkkysf. What is prob of picking 1 n, 1 i, and 1 k?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 + -18. Suppose 0 = 2*u + 4*j + z, -5*u - 2*j + 0*j - 13 = 0. Put u, -4, 2 in descending order.\nAnswer: 2, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -22300142?\nAnswer: 22300141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 6:11 AM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 16*x**2 + 5. Let o be 1 + (3 - (1 + 0)). Is z(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (28 + -44 + 22)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fourty-eight fifths of a kilometer?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*j*x**2 - 86*j - 183*x**2 + 2*x + 2 wrt x.\nAnswer: 8*j - 366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74 and 8140.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*u - 433 = -4*x - 53, -9 = -2*u + 5*x for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/((-38)\/(-76)*(-168)\/(-3))\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = d + 4*j - 4, 0 = d - 3*j + 12. Suppose 0*r + 5*r = 15. Let p be ((-4)\/20*-4)\/(-1). Which is the biggest value? (a) d (b) p (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 10*d + 119. Let k be l(0). Differentiate 4*x - 6*x**2 + 5*x**2 - k + 2*x**2 with respect to x.\nAnswer: 2*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1364, -1504, -1618, -1694, -1720?\n\"Answer: 2*b**3 + b**2 - 157*b - 1210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and -1 + (-17)\/(1 - 2) + 0?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, -152, -384, -832, -1568, -2664, -4192?\nAnswer: -6224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -b**6\/90 - b**5\/60 - b**4\/6 + 15*b**2. Let p(c) be the second derivative of v(c). Determine p(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.264? (a) 2\/9 (b) -2\/15 (c) -592 (d) 1\/5 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52734352 to the nearest integer?\nAnswer: 7262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 10*f**2 + 4*f + 20. Let h be b(-10). Let l = -15 - h. Solve 0 = 2*x + l*t - 5 - 7, 4*x + t = -12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 821038 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 5\/4 (b) -0.1 (c) 547\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20543768.19 rounded to the nearest ten thousand?\nAnswer: -20540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 441352794 to the nearest integer?\nAnswer: 761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-6))\/((-2)\/123). Suppose 5*f + 3*s = h, -27 = -2*f - 5*s - 3. What are the prime factors of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 11, e: 2}. What is prob of sequence ee?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1108 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, m: 2, t: 8, o: 3}. Give prob of sequence yt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 3*d + 1 + 5*d + (0 - 5 + 3)*(-3*d + 4*d - 15*d).\nAnswer: 30*d + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3643 is divided by 60.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 290730132 - 1211\nAnswer: 290728921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(18) + (sqrt(450) - (-1 + sqrt(450))) + 2)*-6.\nAnswer: 72 + 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 9:15 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.38, 1, -3, 2, 20, 5.\nAnswer: -3, -0.38, 1, 2, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 68, 1\/11, 75116, 3\/2, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 r, and 1 a when three letters picked without replacement from {r: 1, g: 1, q: 2, a: 2, o: 1, b: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 80\/(-50) - 4\/10. Which is smaller: i or 1\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 4 - 50*o**3 + 4.\nAnswer: -50*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -207 (base 13) to base 12.\nAnswer: -249","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2189*c + 1. Let r(g) = -43704*g. What is r(n(d))?\nAnswer: -95668056*d - 43704","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**16*q)\/(q*q\/(q\/q**(-12)))*(q**(-2\/13)\/q)\/q**16 assuming q is positive.\nAnswer: q**(141\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 5*k. Let q be m(10). Let f = -46 + q. Solve 0 = -2*x + 6 + f, -2*n + 3*x = 19 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2498 is divided by 252?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 2*a - 7, 1 = -4*r + 5. Sort -4, 2, a.\nAnswer: -4, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 462 - 608. Let o = j + 250. Calculate the remainder when 619 is divided by o.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v - 37*v + 22*v = -9, -27 = 3*a - 2*v for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x**2 - 3. Suppose 12*t - 7*t - 430 = 0. Let g = -92 + t. Let i(a) = -7*a**2 + 5. Let z(f) = g*i(f) - 10*u(f). Let p(w) = 46*w. Calculate p(z(r)).\nAnswer: 92*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 3*l**2 - 439*l - 877. Determine c(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 55*g**2 - 3 - 6*g**2.\nAnswer: -61*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8797*p = 9586*p - 20514 for p.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -0*n - n. Let i(d) = -d**2 - 8*d - 7. Let m be i(-8). Let y = -4 - m. Calculate the lowest common multiple of n and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of v**4\/72 - 5*v**3\/36 + v**2\/3 + 19*v. Factor r(z).\nAnswer: (z - 4)*(z - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.96148ms in microseconds?\nAnswer: 82961.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 107971 to the power of 1\/2, to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1660.\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 * 0.044\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 3*r. Let w = 1 - -3. Let t(y) = -3*y + w*y - 2*y. Let n be 4\/6 + (-21)\/(-9). Give n*t(u) - b(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 4 = -29*x + 31*x, -4 = 3*w + 5*x for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3710359971?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*u**2 - 41*u**2 - 3 + 42*u + 3 wrt u.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 2:59 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*d + 150*d + 649 = -5*n, 0 = 9*d + 8*d - 12*d + 3*n + 55 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from zzezee.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 3)*-3 - -4. Calculate the remainder when 39 is divided by 14*s\/(4\/(-2)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219634680.\nAnswer: 2, 3, 5, 19, 96331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2 - 11*i - 90. Let l be v(10). Let r(w) = w**3 - w**2 + 2*w + 56. What is r(l)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3110171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 249*d - 3084 + 6146 - 3074 in the form m*d + v and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3750 and 2500.\nAnswer: 7500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of 0 + 0*q**2 + 2\/5*q**5 - q + 0*q**3 + 1\/42*q**7 - 1\/6*q**6 - 1\/3*q**4. Factor c(f).\nAnswer: f**2*(f - 2)**2*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -15. Let k = 177.8 - 183. Let p = k - j. What is p rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00055960299 to six decimal places.\nAnswer: 0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 6*a**2 + 2*a - 5. What is h(-6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 9:02 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 1\/5*b**3 - b**2 - 6\/5*b = 0. What is b?\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 48 = -3*a. Calculate the remainder when 59 is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -24*u**2 - 644*u + 676. Calculate q(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 325450 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: Calculate 761262 divided by 426.\nAnswer: 1787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2939*d**2 + 1939*d + 7. Is f(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 13*v**2 + 18*v - 72. Let s be q(-4). Are 44\/1261 and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**3 - 8*h**2 + h - 2. Let p be d(4). Let m(r) = -2*r**2 - r**2 + 2*r - p*r**3 + 4*r**2 + 3 - 5*r**2. Let i = 6 - 9. Determine m(i).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -41, -28, 7 in ascending order.\nAnswer: -41, -28, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 5*y + 6. Let b be o(4). Solve -a - b = -2*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79\/2 of a hour in minutes?\nAnswer: 2370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -84801760*b**2 - 185482199*b wrt b.\nAnswer: -169603520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g + 12*g + 19 = 0. Suppose 4*i = -8, 2*l + i - 3*i - 66 = 0. Let j = g + l. Solve j + 13 = 5*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - a247494?\nAnswer: -a247493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 8 - -15) + 5 - 18\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jwjjfjwjjfjfjwjffwf. What is prob of picking 1 w and 2 j?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 4*i + 17, -z = 3*z + 20. Solve -i*d + 18 = 16 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -84 in -30, 0.4, -0.3, 3, 0?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 7318\/85, -3\/8.\nAnswer: -3\/8, 3, 7318\/85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -4*h**3 - 5452*h**2 + 5456*h = 0?\nAnswer: -1364, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 20, 13, 5, -9.\nAnswer: -9, 0, 4, 5, 13, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-6))\/(39\/(-39)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/2*(-32)\/200.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7455, 14856, 22259, 29664?\n\"Answer: a**2 + 7398*a + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24566 is divided by 216?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 297 + 795 = -4*q, 4*t = -2*q - 558. Let s = 307 + q. Calculate the remainder when s is divided by 1\/(1 - (-17)\/(-18)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*o = 0. Suppose -b = r - o*r - 152, 3*r = b - 152. Is b a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6\/5 (b) -6 (c) -8293\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 355 + 1021?\nAnswer: 1406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2218902 and 1242.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + b = 4*b - 54, 0 = w + 3*b + 6. Let g = w - 5. Calculate the common denominator of -63\/4 and (-3)\/(-12) - (-109)\/g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1ba - -1?\nAnswer: 1bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13\/4 of a millennium?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3494 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: Let g(s) = 2*s**3 - 7*s**2 + 7*s - 27. Let k be g(5). Let b = k - -541. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-2))\/(1\/8). Suppose -a*k = -7 + 3. Calculate the highest common factor of k and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1327*u = 1338*u + 121 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2225323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-4 + 2)) + 42 + -104 + 39.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -415*t + 1. Let k(q) = 417*q - 1. Calculate -2*k(m) - 3*v(m).\nAnswer: 411*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 1396?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3915 - 1124 + 35*a - 668*a**2 - 35*a - 1566*a**2 wrt a.\nAnswer: -4468*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12660895 or -34?\nAnswer: 12660895","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + d - 19. Let i(c) = -153*c**2 + 85*c - 1615. Let g(a) = -2*i(a) + 170*q(a). Let m(z) = 7*z. Determine g(m(n)).\nAnswer: 6664*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 3:48 AM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23155245 + 411?\nAnswer: 23200100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 + 10)\/(-5)*0. Let b(d) be the third derivative of -1\/180*d**5 + 0*d + 1\/9*d**3 - 4*d**2 + j - 1\/72*d**4. Factor b(g).\nAnswer: -(g - 1)*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**7*h*(h\/((h\/h**6)\/h))\/h*(h**(-2\/7))**6 assuming h is positive.\nAnswer: h**(86\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**2 + 17407*l - 34818 = 0.\nAnswer: -17409, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 17*z**3 - 57*z**2 - 23*z - 470. Is b(41) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 10*b + 14121 = -2*s, 0 = -3*b + 4*s + 14109. Does 7 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/13))**(-43)\/(a*a\/(a\/(a*a\/(a*a**11)*a))*a*a\/(a\/a**6)) assuming a is positive.\nAnswer: a**(99\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 501783 and 4?\nAnswer: 2007132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b - 6. Let w be -1*(15\/(-5))\/1. Let z be p(w). Solve -x = -z*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 127864 and 543422.\nAnswer: 2173688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 3:28 AM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 2*j - 92, -4*j - 68 = 2*g + 16. Suppose -24*l - 90 = 270. Let b = l - g. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -4*g - 60. Let v(f) = f**2 + 9*f + 13. Let s be v(g). Suppose -s = -y - 28. Solve -y = t + 5*m, m - 11 = 3*t + 3*m for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*h - 4. Let f = 1 - -5. Solve 4*j - n - 3*n = -12, -h*n + f = -3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m**2 + 4*m + 10 = 0 for m.\nAnswer: -1, 5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**5 - d**5 + 0*d**5)*(66 + 324 + 21).\nAnswer: 411*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 67 = -h + 5*h, 26 = b - 5*h. Calculate the remainder when 102 is divided by b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 30, 49, 80, 123, 178, 245?\n\"Answer: 6*c**2 + c + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 355517.\nAnswer: 355517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -89\/8 + 11. Does j = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1621 + 771 + 2*x - 849 + 1323.\nAnswer: 2*x + 2866","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2749 or -2750?\nAnswer: -2750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 3*g + k - 63847, 85120 = 4*g + 2*k. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 d when four letters picked without replacement from jddxxdjddx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*w**2 - 28*w**2 + 233*w**2 to the form k + j*w + q*w**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 360176596 is divided by 1075.\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 4*p + 216 = 0, 0 = 3*d + 2*d - 3*p - 262. Does 14 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16703 < 16694?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/9*(-2)\/(-4). What is the third smallest value in -2\/9, 0.2, v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4696*m + 2143 - 5233*m + 10527*m wrt m.\nAnswer: 598","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5384 + -2725. Solve -g = 6*m - 2695 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 15*d**2 - 15*d + 528. Give h(13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -16 (b) 2 (c) 1 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*t = -79, -17*t + 12*t + 71 = 3*q. What is the lowest common multiple of q and 24?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2736824 less than -21.4?\nAnswer: -21.6736824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 601.6069 decades to years.\nAnswer: 6016.069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(60) + sqrt(60) - sqrt(60) - sqrt(60))\/sqrt(12) - (-4 + sqrt(125)))**2.\nAnswer: -64*sqrt(5) + 336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17974202?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3391 + -3379. Solve 8 = -o - 3*k, -5*k - a = 2*o - 3*k for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-10.1079\nAnswer: -3.03237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (92*o - 92*o + 72*o**5)*(-2 + 0 + 3).\nAnswer: 72*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/7 and 89\/105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1135764 rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -160*l**4 + 611.\nAnswer: -640*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i**2*m**4 + 46*i**2*m**2 + 3*i**2*m + 4*i + 80*m**5 - 1 wrt m.\nAnswer: -48*i**2*m + 4800*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2160 (base 7) to base 2.\nAnswer: 1100001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, o: 1, c: 6, s: 2, j: 2, e: 5}. Give prob of picking 1 o, 1 d, and 2 s.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 55.1919401 to 1 decimal place.\nAnswer: 55.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -68, -141, -232, -335, -444, -553?\nAnswer: -656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 5*r + 25 = 0, -r - 14 = -2*o + 3*r for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8050 and 19469500?\nAnswer: 136286500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 4*z**2 + 4*z. Let o be f(3). Let k(p) = -o*p**2 + p**2 + p**2. Let j(r) be the second derivative of r**3\/6 - 2*r + 11538. Give j(k(u)).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -241 * 1580.8.\nAnswer: -380972.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, 18, -213\/8?\nAnswer: -213\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h + 13*h**2 - 3*h)*((-3*h - h + 5*h)*(5*h - 3*h + 0*h) + 5*h**2 + 0*h**2 - 3*h**2) + 6*h**4 - 3*h**4 - h**4.\nAnswer: 54*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-11))\/(-3) - 294\/(-77). Suppose k - 73 = -3*z. What is the highest common factor of z and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, n: 1, m: 2, l: 1, w: 3, z: 1}. What is prob of sequence um?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 39907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 136515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w + 7*w - 16*w + (1 + 1 - 4)*(w - 2*w + 0*w) + w + 3*w - 2*w - 3*w - 7*w + 13*w + (-5 + 12 + 3)*(-w - 2*w + 2*w).\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 4*w - 39 = -3, 5*m = -0*w + 32*w - 18 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 59021, 59014, 58989, 58940, 58861, 58746, 58589, 58384?\n\"Answer: -f**3 - 3*f**2 + 9*f + 59016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 11:54 PM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 440099.\nAnswer: 11, 40009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28998 = 5*l + z, 28818 - 5610 = 4*l - 4*z. Round l to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 5*y + 15. Let b be k(5). Suppose 0 = 13*j - 8*j + b. Let f be (-512)\/5 + (108\/(-30) - j). Which is greater: f or -104?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, c: 1, e: 7, j: 4, f: 2, z: 1}. What is prob of sequence jjj?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -11*x**2 + 140*x + 36. Calculate u(13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/3))**(-28)\/((f**(-6\/5)*f)\/f*f**22) assuming f is positive.\nAnswer: f**(-592\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 715324 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 456365633 > 456365632?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9895 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, t: 3, e: 3, q: 9}. Give prob of sequence etee.\nAnswer: 1\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*w + 11*w**4 + 30*w + (-w - 4*w + 3*w)*(3 - 3 - w**3))*(5*w - 4*w - 6*w).\nAnswer: -65*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 503*d + 9590. Let h = 252 - -141. Calculate the remainder when h is divided by w(-19).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33 + -2?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -333, -652, -959, -1248, -1513?\nAnswer: -1748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in 13, -2, -95\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x*x**(-3))\/x)\/x)\/(x\/x**(2\/13)*x) assuming x is positive.\nAnswer: x**(-63\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 182 - 179. Let g = 251\/4 - 63. Put -2, g, n in ascending order.\nAnswer: -2, g, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - q + 259 = a, 4*q + 239 = 5*a. What are the prime factors of a?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -4*t + 6*m + 209, 0 = 2*t - 5*m - 107. Let i be 1 + 1 + 3\/1. Suppose 0*l - 65 = -i*l. What is the remainder when t is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzrzzrrrrznrrrrrrzr. Give prob of sequence zrn.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 + -57 + 1 + -10?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20842?\nAnswer: 2, 17, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + 4.18. Let s = -0.08 + p. Suppose -4*u + 0*h - 8 = -2*h, 5*u + 25 = -5*h. Sort u, 2, s.\nAnswer: u, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 r when four letters picked without replacement from urrmkjccm.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 60, 83?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**10*m)\/m**(1\/8)*m**14*m*m**(1\/4))**(-3\/5))**33 assuming m is positive.\nAnswer: m**(-21483\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.064 - -36.064. Let k = 34 - m. Suppose 0*g + 2*g - 3*z = 20, 2*z = 4*g - 24. Sort -4\/3, g, k, -1 in ascending order.\nAnswer: k, -4\/3, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/346753 and 61\/132.\nAnswer: 4161036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 + (-57)\/19 + (3 - -193). What is the greatest common factor of v and 87?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 2867914?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/5724 and 74\/181737.\nAnswer: 726948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 724708.13017 less than -13?\nAnswer: -724721.13017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 5:50 AM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 6 - (-2 - -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 20 (b) -13 (c) 0.3 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 13*g**2 - 14*g - 17. Let o be d(-12). Suppose 2*v - o*v = -150. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9997 - -7542. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55530844 and 304.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 64 divided by -3\nAnswer: -64\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -238427.90082 - -238486.9. Let i = 144 - 203. Let v = i + q. Round v to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**2 + 22*q - 11. Let h(m) = m + 1. Let z(d) = h(d) - w(d). Let l = 3 + -2. What is the remainder when z(-11) is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121102562 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 3, s: 13}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*f**2*g**2 - 10*f**2 - 6*f*g**2 + 2*f*g - 10*f wrt f?\nAnswer: 10*g**2 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107062.\nAnswer: 2, 199, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1908 (base 11) in base 10?\nAnswer: 2428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 732.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/4 + 139*l\/4 + 141\/2.\nAnswer: -(l - 141)*(l + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -0.00484 (c) -1\/3 (d) 0.29 (e) 1 (f) 10\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-2)*4\/(-26). Let s = -2403.8 + 2404. Which is the nearest to -3? (a) i (b) 1\/4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 384242507?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 3. Let k(h) = 11*h. Let s be k(8). Calculate the highest common factor of w and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 38*f + 12 - 12*f - 4.\nAnswer: 26*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -530, -946, -1350, -1742, -2122, -2490?\nAnswer: -2846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2ccb (base 13) in base 10?\nAnswer: -6589","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3455276 by 118.\nAnswer: 29282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z + z + 0*z + z - 8*z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 39a (base 11) to base 3\nAnswer: 122111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 10 = -5*n - 0*u, -3*n + 6 = 3*u. Suppose -3*y + 8 + 16 = 0. Suppose x - 12 = -4*x + 3*l, 2*l = -4*x - y. Solve x*d + n = -2*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250*s - 3257 = -13*s + 688 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1033280532?\nAnswer: 2, 3, 3517, 8161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 14*y**2 - y + 33. Let m be v(14). Calculate the highest common divisor of m and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5859\/1023*24\/(-84)\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**3 - z**2 - 7*z + 6. What is the lowest common multiple of 14 and p(3)?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-543288)\/420)\/((-8)\/50). Let u = 8088 - b. Find the common denominator of u and -31\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 6*m + 27*m - 31*m + 47 - 47. Let c(r) = -2*r - 78. Calculate s(c(o)).\nAnswer: -4*o - 156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (8\/22 - (-11914)\/2024)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4\/3 + 268*u**3 - 162406*u**2\/3 + 107468*u - 160801\/3.\nAnswer: -(u - 401)**2*(u - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 354373074 a multiple of 587?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/7 - 113330242*s\/7 - 113330244\/7.\nAnswer: 2*(s - 56665122)*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20121220 + -122?\nAnswer: -20122112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 16. Let k(f) = -f**3 - 4*f**2 - 2*f + 4. Let t be k(-3). Are t and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1030 (base 5) in base 11?\nAnswer: -118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 20815692 to the nearest 100000.\nAnswer: 20800000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68801123, -137602243, -206403365, -275204489, -344005615, -412806743?\nAnswer: -481607873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -22*q + 1125. Let x be g(51). Solve 5*m = -f - 28, -3*f + 1 = x*m + 25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1089 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of 4151*j**6\/15 - 2765*j**2\/2 + 9506*j. What is the derivative of q(s) wrt s?\nAnswer: 33208*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 11*m**2 - 6*m - 2. Let i be h(4). Suppose -13*o = -8*o - i. Suppose -5*b = -2*g + 14, -g - 5*b - 8 = -o. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, o: 2, p: 4, g: 6, c: 3}. Give prob of sequence cbg.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*y = -0*a - 11, 14 = 4*a - 2*y. What is the third derivative of 4*z**3 - 11*z**3 - 11*z**3 - 7*z**a + 22*z**2 wrt z?\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*i**4*y + i*y**3 - 634*i*y - 10691*y**3 + 5*y wrt i?\nAnswer: 40*i**3*y + y**3 - 634*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2721 a factor of 186110958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101101110 + 0?\nAnswer: -101101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -204806 times -0.5\nAnswer: 102403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 80 = 7*p. Let d(q) = q**3 - q - 2. Let z be d(2). Suppose -2*c + z = -0*y - 2*y, 4*c - y = 8. Solve -p = 4*j + c*m, -j + 5*m = 2*j - 11 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 336298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 57 + 28f9?\nAnswer: 2950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 9 - 24. Suppose -4 = -o - 2*c - 1, -2*o - c = -3. Let x = 3 - o. Solve 0 = l*y - x*y + 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((14 - 8)\/3)\/((-4)\/(-6)). Factor 0 + 0*y - 1\/7*y**2 - 3\/7*y**4 + 3\/7*y**c + 1\/7*y**5.\nAnswer: y**2*(y - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in -0.2, -0.3, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*p**4 + p**3 + 7*p**3 + 1 - 4*p**3 - 50*p**4 - 4*p to the form k*p**3 + z*p**2 + a*p + n*p**4 + t and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - c - 510, 7*c - 2*c - 10 = 0. What is the highest common divisor of j and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5449 (b) 3\/32 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-6)\/s)\/s**(-1\/14))\/((s*s**5)\/s*s*s**(-1\/4)\/s*s))**(-2\/9) assuming s is positive.\nAnswer: s**(355\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 49*o**3\/3 + 448390159*o**2\/3 + 256222936*o\/3 + 12201092 = 0.\nAnswer: -9150819, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((5*i - 4*i - 5*i)*(-3*i + 0*i + i) + 2*i**2 + 3 - 6*i**2 + 0)*(4 - 4 - 3*i**2) to l*i**3 + j*i + r*i**4 + z + t*i**2 and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 362443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**3\/17 + 5132*i**2\/17 + 1438360*i\/17 + 107101456\/17 = 0. Calculate i.\nAnswer: -2258, -154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2*(-2*sqrt(140))\/sqrt(7))\/((sqrt(240)\/(sqrt(50)\/sqrt(5) + sqrt(10)))\/sqrt(6)).\nAnswer: 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19497*c**3 + 19604*c**3 + 10708 - 10708.\nAnswer: 107*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 4*s - 2*s)*((-3 + 6 + 1)*(11*s + 9*s + 28*s) + (-s + 3*s - s)*(5 - 3 - 4)).\nAnswer: 570*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10656 divided by 1332?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(735) - 5*sqrt(735)*1) + sqrt(735) - 2*sqrt(735)*-5)\/(-3*(sqrt(45) - sqrt(180)\/sqrt(4)) + -1*sqrt(45)*2).\nAnswer: -49*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29554210, -29554211, -29554212, -29554213, -29554214?\nAnswer: -29554215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 8.867054 nanometers?\nAnswer: 0.000000008867054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((192\/(-20))\/(-16) - (-48423)\/4245) + -15 + 3?\nAnswer: 2\/283","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 16268 divided by 23024\nAnswer: 4067\/5756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1075.896 to the nearest integer.\nAnswer: -1076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 240 and 300.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 4:23 PM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 39 + 0 + -1 + 2. Suppose 3*s - 17 = c, 2*s + 7*c - 2*c - 17 = 0. Let m be (-12)\/18 + 100\/s. What is the greatest common divisor of k and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 5*c + 26, -2*t = 3*c + 2*c + 2. Suppose -t + 2 = -l. Suppose u + l*u - 525 = 0. What is the greatest common factor of 25 and u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -1\/6*z**3 + 0 + 1\/12*z**4 - z**2 - 21*z - 13\/2*z**5. Is t(-1) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**5\/3 - 58*i**4 - 562*i**3\/3 + 658*i**2 + 560*i\/3 - 600 = 0?\nAnswer: -5, -1, 1, 2, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*d - 8*d - 2850. Suppose 519 = x + d. What is the lowest common multiple of x and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 322, 321, 320, 319?\nAnswer: 318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 9*q**2 + 10*q + 8. Let v(p) = -3*p - 8. Suppose 3*j + 30 = -2*j. Let n be v(j). Calculate the lowest common multiple of l(n) and 11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6087189 + 115589556\/19. Let z = k - -3527. Is 0 not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -195, -335, -469, -597, -719?\n\"Answer: 3*u**2 - 149*u - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -18.\nAnswer: -7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -74 + 68 - (3 + 1) - (90 - 30)\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.5 (b) 0.1 (c) -0.101 (d) 12\/701\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0\/(34\/(-272) - (-15)\/(-8)))\/(-2). Suppose -2\/5*g**2 + a + 18\/5*g = 0. What is g?\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 721.8462 micrograms in kilograms?\nAnswer: 0.0000007218462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0*(-1)\/(-5) - -737 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -182 - -62?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t - 2*p + 6, 186*p + 1 = 187*p for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 + 25. Suppose -2*s = -s + j, s = 2*u - 112. Does 37 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1075, -13\/8, 2\/7 in ascending order.\nAnswer: -1075, -13\/8, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 6*a. Suppose 2*h + 49 = 5*o, -4*o + 48 = -o + 5*h. Let m = o + a. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 218 - 24*n + 879*n + 22*n - 218 in the form o*n + f and give o.\nAnswer: 877","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 425 and 225250?\nAnswer: 225250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 30757.27mm in nanometers?\nAnswer: 30757270000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4*m**2 + 124*m + 4. Let p be r(31). Which is the third smallest value? (a) -1\/5 (b) p (c) 2\/207\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/7)*i**(-2\/13))\/i**(7\/4)*((i*i\/(i**(-2\/9)*i))\/i**5)**(1\/19) assuming i is positive.\nAnswer: i**(-113095\/62244)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 12 = 2*m - 2*b, -b + 10 = -3*m. Suppose 2*i - 9 = -4*f - 81, 4*i + 64 = -4*f. Let x = m - f. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -221 - -217. What is the common denominator of 74\/(-78) + (-6)\/9 and ((-168)\/(-27))\/j*66\/(-7)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24793617?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 11:07 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 139*v - 44. Let z be u(-4). What is z rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7276 * -2.89\nAnswer: -21027.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 17 = -f - 74, 3*f + 255 = 3*p. Calculate the remainder when 115 is divided by (f\/(-10) + -2)*(-10)\/(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 9 = 6*r - 4*y, -4*r - 3 = y for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3426 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 3*x - 15, -2*x = -0*p + 2*p - 6 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2163771258?\nAnswer: 2, 3, 11, 29, 1130497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 58\/(-406)*(-14)\/(-12). What is the closest to -2 in -2, l, 2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2531 - 800 - 682 - 3*d to the form p*d + t and give t.\nAnswer: 1049","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (1 + sqrt(931) + -1 - ((0 + sqrt(931))**2 + 5)) + 5)*-1.\nAnswer: -7*sqrt(19) + 933","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r**4 + 66300*r**3 + 292831120*r**2 + 430621581840*r - 862415018640 = 0.\nAnswer: -4634, -4314, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 10\/4*(-100)\/150\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1021 in 1\/9, 5, 2\/7?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11884255 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1230, -3\/2, 34 in increasing order.\nAnswer: -1230, -3\/2, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 337 is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*v**2 + 171807*v\/2 + 184095\/2.\nAnswer: -(v - 12273)*(14*v + 15)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 2*j - 2*j + j - 4*j + 2*j + (-4*j + j + j)*(2 + 5 - 5) + 2*j + 3*j - 4*j + 6*j + 0*j - 2*j)*(-2 + 3 - 3).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.791 - -0.66. Which is smaller: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 k when three letters picked without replacement from kskkkkks?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -4*q + 2. Let h(a) = -1 + 6 + 7*a - 1 - 8. Determine 5*c(n) + 3*h(n).\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101 + 0?\nAnswer: -11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 11*d**2 - 6*d. Let y(u) = 21*u**2 - 11*u. Let m = -23 + 14. Let l be m\/(9\/6 + -3). Determine l*y(j) - 11*i(j).\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 402046 (base 10) in base 13?\nAnswer: 110cc8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 59479*z**5 - 244071*z**2?\nAnswer: 3568740*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -20 and 26483116276.\nAnswer: 26483116256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 o, and 1 z when four letters picked without replacement from {m: 4, z: 5, o: 10}?\nAnswer: 25\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 88\/(-10) + (-3)\/15. Let o = 35 + d. Suppose x - o = -2*m + 6*x, -m = -3*x - 12. Calculate the highest common divisor of 9 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-1) - ((-92)\/2 - -33)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 137 + -107 - 124 - -100.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1281968, -2564230, -3846494, -5128760?\nAnswer: -6411028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 65\/(-25))*10\/(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) -2.1 (c) -154 (d) 4 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 3*28\/21)\/(81\/(-6)). Which is the nearest to -0.1? (a) -1\/365 (b) -4\/3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -75, 1, -3 in increasing order.\nAnswer: -75, -5, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3 - 21443440*v**2 + 114955258314957*v + 229910602403682.\nAnswer: (v - 10721721)**2*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*z**2 - 5821*z\/5 + 97\/5.\nAnswer: (z - 97)*(60*z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000012290824 to 7 dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 6*i - 3. Let b be w(-2). Suppose 0 = d - 8 - b. Let n(t) = -5*t**2 + 2*t**2 + t**2 - 11*t. Let c(z) = z**2 + 5*z. What is d*c(l) + 6*n(l)?\nAnswer: l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/40)\/(-11*20\/880)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -204 + 208. Sort 10, 2\/9, a in ascending order.\nAnswer: 2\/9, a, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4 + 20 = 0. Let g(q) = -q + 9. Let l be g(k). Let s = 5 - 2. Solve -l = -s*a + 5*y, 3*y + 3 = a + 2*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -5 - 0) + -4 + (57 - 89).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.168 - 2.822. Let j = -0.99 - h. What is the nearest to 0 in 2\/5, -10\/3, j?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 359, 709, 1063, 1421?\nAnswer: 1783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from urryyyyyaytysy. Give prob of picking 1 y and 1 t.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 248309, 248180, 248051, 247922?\nAnswer: 247793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**4\/i)\/i*i**2\/i)\/(i\/i**(-2)*i*i\/(i**(-4)*i)) assuming i is positive.\nAnswer: i**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1)\/(n\/(n\/(n*n**(-4\/5)*n*n))*n))\/(n**(1\/2)*n)**(4\/37))\/(n\/(n**4*n)*(n**(-3)\/n*n)\/n*n**(-4\/7)\/(n*n**0*n)) assuming n is positive.\nAnswer: n**(8041\/1295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 823 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 27.3 and 9.25644.\nAnswer: 252.700812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -423 = 2*y - 3*y. Suppose 1415 = -3*i - 2*i. Let s = i + y. What is s rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 3*j**2 - 7*j - 11. Let p be u(-2). Let a be 4 + p*-10*13. What is the greatest common factor of a and 469?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*b - 22*b - 6 = 0. Suppose -40*v = 8*v + 144. Let s(f) be the third derivative of -f**4\/4 - 5*f**2. Let n(u) = -7*u. Give b*n(h) + v*s(h).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -492 by 3.\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2. Let l(y) = -y**2 - 6*y + 208. Calculate l(u(x)).\nAnswer: -4*x**4 + 12*x**2 + 208","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.08265 rounded to 1 dp?\nAnswer: -9.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*h**4 - 12921*h**3 + h**2 - 11133*h wrt h?\nAnswer: -72*h - 77526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and -12584.25?\nAnswer: 12584.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -4 (c) -3 (d) 1\/8 (e) -2\/11 (f) 48\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jclauucjukjuauuuc. What is prob of picking 3 j?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 189496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 11*p**2 - 9. Calculate o(-11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2*1*(-8)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 4*v**2. Let z(l) = l + 1. Let f(p) = -17*p - 34. Let t(b) = -f(b) - 34*z(b). What is s(t(d))?\nAnswer: 1156*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 167 + -166.6. Which is the second biggest value? (a) 1\/27 (b) x (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*r - 1518037 + 1511899 = 0 for r.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/4 - (-945)\/(-180) - -4*2. Solve -z + i = -3*p, 7*p - 10 = 10*p - 2*z for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 24 (c) 0.3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from ffftffft.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -3612.\nAnswer: -5\/3612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 12*m**2 - 13*m + 40. Calculate the least common multiple of u(4) and 135.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1400244300 + -11?\nAnswer: 1400244234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8272 + -83?\nAnswer: -8315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/175 in -1\/4, 34, -2\/7, -2, 1355?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3\/2 - 49\/6. Let t = s - -7. Does -4 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44961 + -22521. Is d a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**3 - 102*w**2 + 9*w - 1023. Calculate p(51).\nAnswer: -564","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1104 and 60.\nAnswer: 5520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 5*z. Let s be 1\/((-1)\/(-5)*1). Let x be f(s). Solve x = -0*w - 4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 91*c**2 + 107*c**2 - 69*c**2 + 1 + 237*c**2 + 156*c.\nAnswer: 366*c**2 + 156*c + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 9:22 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -95 + 94 - (0 - 755*1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/(x**1*x))**26)**43)**(-9))**(-49) assuming x is positive.\nAnswer: x**(-493038)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -2\/261, -4, 3\/68.\nAnswer: -4, -0.1, -2\/261, 3\/68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46453*i - 46336*i + 93097*i.\nAnswer: 308*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of 2\/3*m**3 - 10 - 1\/2*m**4 + 0*m**2 + 0*m. Solve c(v) = 0 for v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101074942 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - t + 7 = -4, t = -4*a - 19. Let y be (48\/(-30))\/(2\/a). Calculate the remainder when (-286)\/(-39)*18\/y is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 109*o**2*p**2 + 66*o**2*p - 81735*o**2 - 5*p**3 with respect to p.\nAnswer: 218*o**2*p + 66*o**2 - 15*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 4:36 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -68 - -86. Let t(c) = -2*c - 20. Let a be ((-8)\/20)\/(2\/60). Let g be t(a). Solve 0 = -g*x + 6*x + 5*z + 31, -x - 3*z = j for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-29)*j*j*j*j**(5\/2)*j*j**(-18)\/j*j*j**(2\/17)\/j*j*j assuming j is positive.\nAnswer: j**(-1339\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j + 5. Let v(l) = l - 1. Let f(t) = -h(t) + 2*v(t). Let p be f(10). Solve -p = -2*y - 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13689)\/3510)\/((-69)\/(-23)*3\/(-15)*-1).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 64074 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 877658 is divided by 292166?\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 + -0.7. Let k = v + -0.1. Let p = k + 0.8. Which is the nearest to -0.1? (a) p (b) 4\/7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f**2 - 4*f - 1. Calculate k(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/11, -12, 3\/7, 2\/43, -90?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - r = -x - 10, 3*x - 29 = -2*r. Is x a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b + 2*b**2 + 0*b + 0*b**2 + 3*b**2 - 3*b**2 - b**2 + (0*b - b + 2*b)*(3*b - 5*b + 0*b) + (-158*b - 31*b - 44*b)*(-1 + 1 + b).\nAnswer: -234*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 - 24599.\nAnswer: -24599.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1474803, -3, -7 in decreasing order.\nAnswer: 1474803, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - 1)\/2 + 1. Let x = 0.05 + -0.25. Sort x, l, -1\/8 in descending order.\nAnswer: l, -1\/8, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2183 is divided by 243.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 33*p**2. Let s(w) = -18013409*w**2. What is s(t(k))?\nAnswer: -19616602401*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 12. Let k = g - -13. List the prime factors of k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 14, v: 1}. What is prob of sequence lv?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-12) + 182\/8. Let f = c - 14. Solve -2*o + 5*k = f, 7*k - 18 = -2*o + 3*k for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/2*10\/(-4))\/(-1).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = r - 57. Suppose -3*t - 126 = -5*t. Let l = t - r. Solve -5*b + l + 4 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11970 and 8183.\nAnswer: 13992930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.018 + -37.018. Let z = d + 40. Let n = -5 + 5.4. What is the closest to 2\/3 in n, 0.1, z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of r**5\/30 + 49*r**4\/24 + 28*r**3 + 21*r**2 - r. List the prime factors of z(-34).\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssnts. Give prob of picking 3 t and 1 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(176)*-2)**2 + (2 + sqrt(176))**2 + 2 + 3*-1*(-1*sqrt(176) + -5).\nAnswer: 28*sqrt(11) + 6533","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*((-18)\/(-224))\/((-30)\/(-40)). What is the nearest to -1 in q, 1.4, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(1200) - (sqrt(1200)*-2 + 5))*1)**2 + 4.\nAnswer: -1200*sqrt(3) + 21654","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136870*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1257963 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2 + 3\/2*t**2 - 3*t.\nAnswer: 3*(t - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 7:17 PM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2330606*d**4 - 22*d**3 - d**2 - 3540*d - 437 wrt d?\nAnswer: 55934544*d - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -447 - -623. What is the highest common divisor of k and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hzz when three letters picked without replacement from {z: 2, m: 3, p: 6, j: 3, h: 2}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 27. Let k(y) = 2*y - 270. Let g(u) = -3*k(u) - 30*r(u). Let f(m) = -28*m**2 + 4. Give g(f(j)).\nAnswer: 168*j**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1044315 + -41105?\nAnswer: -1125424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*o + 89 = 0, 2*h = o + 6 + 73. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -1, 0.5, 15, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m**3 + 2*m - 1. Let f be g(1). Suppose 9 = f*a - a. Suppose -2*r = -5*r - a*d + 291, -2*d - 91 = -r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -180 (b) -0.02 (c) -18\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 413653.\nAnswer: 413653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2413 - 19343\/8. Let c = 999\/2 - 509. Calculate the common denominator of h and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1660 divided by 332.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/18 and 37\/620.\nAnswer: 5580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 9 + 1 = 0. Suppose o*x + 7 - 27 = 0, 0 = -4*a + 5*x + 64. List the prime factors of a.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-27)\/(-180)*4 + 249\/(-25). Which is bigger: h or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/35)\/(3\/3).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, t: 6, x: 2}. What is prob of picking 3 o and 1 t?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24546211*q**5 + 2*q**2 - 3443*q - 1331 wrt q.\nAnswer: -1472772660*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 523 - 3?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72774*y - 72389*y + 3 - 2)*(2*y**4 + 5*y**4 + y**4).\nAnswer: 3080*y**5 + 8*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-460)\/276*(264\/(-20))\/1\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 281 + -258. Suppose -t - 2772 = -p*t. Is t a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 6*x + 170. Calculate the remainder when j(-14) is divided by 252\/10 - 1\/5.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s - s - 5*s)*(-124*s**4 + 55*s**4 - 91*s**4 + s**2 - s**2 - 2*s**4 - 1 + s**4 + 1 + (0*s - 3*s + 2*s)*(2*s**3 + 0*s**2 + 0*s**2)).\nAnswer: 326*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 4 - 38*s + 6*s**2 + 1.\nAnswer: 6*s**2 - 38*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8d (base 16) to base 15.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92, -402, -928, -1676, -2652, -3862, -5312?\nAnswer: -7008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 8*n + 0*n**2 - 6 - 5*n**2 + 6*n**2 - n. Let q be o(-9). Let f = -265 - -283. Calculate the highest common factor of q and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/2*(2 - 4). Let s be (3 + -1)*a\/10. Let r = -3.45 + 18.45. What is the biggest value in r, -2\/5, s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -448, 1, 0.1, -0.2, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 620, -1015, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyjyjy. What is prob of sequence yjy?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7498760 to the power of 1\/2, to the nearest integer?\nAnswer: 2738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2\/1317739?\nAnswer: 2\/1317739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.01 - 4.99. Let s = -12.7 + 13. What is the nearest to 1 in b, s, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h + 1. Let p = 4 + 0. Let m(c) = 2*c**2 - 5*c - 3. Let o be m(p). Let x = 5 - o. Calculate v(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -3*n + 8, 63*n - 18 = -3*g + 60*n for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ibq when three letters picked without replacement from ibpgwqwgi.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -4*o**3 + 165*o + 170*o - 2 + 173*o - 691*o + 174*o - 5*o**2. Let s(y) = -6*y**3 - 7*y**2 - 13*y - 3. Give 7*b(u) - 5*s(u).\nAnswer: 2*u**3 + 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, 3, 2, -1, 4, -3, 0 in descending order.\nAnswer: 41, 4, 3, 2, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 9. Suppose w*l = -27 + 143. Solve -t + 5*x + 28 = 0, -l = -2*t + 4*x - 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 11 = b - h, h = -4. Let q(w) be the third derivative of w**5\/60 + 5*w**4\/24 + w**3\/6 - w**2. Calculate q(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13739 is divided by 2359.\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22769 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 288746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*20200.\nAnswer: 40400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 330021 and 351591.\nAnswer: 53793423","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1862 + 1983 - 432*r**2 + 3741*r**2 - 7017 - 579*r**2 wrt r.\nAnswer: 5460*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 35.581545s?\nAnswer: 0.0004118234375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 12, y: 7}. Give prob of picking 1 x and 3 y.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**4 + c**4 + c**5)*(0 + 2 - 4) + (-2*c - c + 2*c)*(38*c - 8 + 3*c**4 + 25*c - 62*c).\nAnswer: -5*c**5 - c**2 + 8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2350, -1144, -8 in descending order.\nAnswer: 2350, -8, -1144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 13. Let z = 9 + a. What is the third derivative of o**2 - 12*o**4 + z*o**4 + 10*o**4 wrt o?\nAnswer: 144*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 112 + 3 = 0. Suppose 50 = -4*r - 6. What is the remainder when 620\/14 - (-4)\/r is divided by g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 940156 a multiple of 165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/15 and -22\/2359815.\nAnswer: 2359815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert e (base 15) to base 9.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 2 + g - 8 + 3*g.\nAnswer: 4*g - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8712.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4757077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -410*n - 416*n + 829*n.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/2)\/((-1)\/(-2)). Let h(g) = -g**2 - 7*g - 3. Let x be h(-4). Let p be -7 + (16 - 1) + (5 - 9). Solve o = -p*w - x for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 282 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c - 96*c = 19*c - 548435. What are the prime factors of c?\nAnswer: 23, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (585\/(-765))\/(21\/6) and -40\/153?\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -32.6 to one dp.\nAnswer: -32.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5733 by -91.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6.3, -2\/211, -5, -0.5, -1 in increasing order.\nAnswer: -5, -1, -0.5, -2\/211, 6.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q**3 + 8 + 6*q + 5*q**3 + 2*q**3 - 14*q - 5*q**3 as a*q**3 + x*q**2 + l*q + m and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -41*g - 54. What are the prime factors of j(-14)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 37*n**2 - 53*n + 13. Give k(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 + 11. Let m(f) = -22*f - 34. What is the units digit of m(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 3*c + 2 = -9, 0 = -5*u - 2*c - 5. Is u >= 0.064?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 2*i + 664, -2*x + 0*x - 2*i = -668. Calculate the common denominator of (2\/(-10))\/(6\/x) and (-1)\/15 + 2\/(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) 0.7 (c) 0.1 (d) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-39*j + 43*j + 84*j)*(-j + j + 3*j) in the form x*j**2 + o + g*j and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2638079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1313, -7184, -16961, -30644, -48233, -69728, -95129?\n\"Answer: -1953*q**2 - 12*q + 652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 64.53926 nanograms?\nAnswer: 0.00006453926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 36156.\nAnswer: 253092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + -1*sqrt(128) - (2 + sqrt(128) + sqrt(128) + 3 - sqrt(128)) - (sqrt(128) - (1*sqrt(128) + 4) - (sqrt(128) + -1 + sqrt(128) + 2)))**2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bobl when four letters picked without replacement from {o: 4, l: 1, a: 2, b: 2}.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + (2*-24)\/3. Let l = -11 - x. Solve -l + 2 = 2*t, -4*t + 8 = 4*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7867939 a multiple of 631?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99259 is divided by 5903?\nAnswer: 4811","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1954*c**6 + 29961*c**2 wrt c.\nAnswer: -234480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 1:30 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*y = 56*y + 40573. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = p + 3*p, p + 3 = 2*k. Let v be k*3\/(3\/(-166)). Suppose 5*n = -2*j - 2*j + v, -4*n = -8. Does 17 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -4\/3, 1\/2422, -260, -5 in increasing order.\nAnswer: -260, -5, -4\/3, 1\/2422, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 2*z, -3*r = 4*z - 6*r. Solve 5 = 5*u - z for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 16*h + 144. Calculate the least common multiple of o(-8) and 64.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1170 bigger than 22250\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 8, 5, 4, -20 in descending order.\nAnswer: 8, 5, 4, -1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (16\/3)\/(3\/(-9)). Let t = 23 + a. Let f(h) = h**2 - 5*h - 3. Does 10 divide f(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003 to seven decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 5*m + 46. Let k be c(-7). Calculate the greatest common factor of k and 341.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 6*j - j + 17 = 0, -20 = 4*j. Suppose 0 = x*v - 13 + 5. Solve 2*s = b - 1, -v*s + 3 = 3*b - 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4*t**2 - 2816*t + 11190. What is c(4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 6 + 12 = 0. Suppose c = -c + g. Suppose -c*w + 2 = -w, 3*w + 50 = s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 2)*(25 - 25 + y**2) - 6*y**2 - 5 + 5 in the form x + f*y + p*y**2 and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -5\/2, -1.3, 1\/34, 11, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -20*s**2 + 11*s. Let t(o) be the third derivative of o**5\/15 - o**4\/12 + 15*o**2. Determine -2*m(g) - 11*t(g).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/(-5))\/((-1)\/2). Let n(y) = 0*y**2 - y**2 + 2*y**r. Let u(j) = -j. Let z(m) = 2*m**2 + 2*m. Let p(h) = -2*u(h) - z(h). What is n(p(g))?\nAnswer: 4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 26250 to the power of 1\/2, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 3 (c) -0.04 (d) -1\/6 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138946 = -74*n + 136282 for n.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s**3 + s**2 - s - 1. Let a(c) = 42*c**3 + 3*c**2 + 4*c - 3. What is -a(z) + 3*o(z)?\nAnswer: -33*z**3 - 7*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -22221.3996518411 and -0.2.\nAnswer: -22221.5996518411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 190242 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a*m**3*o + 121*a*m**3 + 348*a*m**2*o + 36*a*m*o - 3*a*m + 89*m**3*o wrt m?\nAnswer: 6*a*o + 726*a + 534*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 - c**2 - 4*c**2)*(3 - 3 - c**3)*(0 - 15 + 4).\nAnswer: -77*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1677 + 1599. What is the thousands digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2957630309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/4 - 36*l - 2041\/4.\nAnswer: (l - 157)*(l + 13)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 240 + -240.5. Which is greater: -30 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1386 and 1617.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 21 + (13 + -11 - (-1 - -3))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.70392l in millilitres?\nAnswer: 23703.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -18, -40, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 84 + -a75?\nAnswer: -9d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -104*h**3\/11 - 5094*h**2 + 1078*h.\nAnswer: -2*h*(h + 539)*(52*h - 11)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -233 + 232. Let u = -0.1 - -0.6. What is the nearest to f in 5, u, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 541899 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.4553 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of b**6\/120 + 23*b**5\/60 + 5*b**4\/3 - 3*b**3\/2 - 6*b**2 - b + 82. What is s(-21)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*z - 5*w = -53*z + 60, 25*z - 21 = -3*w + 74 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**3\/3 + 631352*k**2 + 11364274*k\/3 + 3156740 = 0.\nAnswer: -947022, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**13\/x*x)\/(x\/(x*(x\/(x*x*x*x**(1\/2)*x))\/x)) assuming x is positive.\nAnswer: x**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 24\/(-9) - 4\/(-6). Let m be 2 - (1 - w\/(-1)). Suppose o = m*f - 32, 4*f + o - 60 = -8. What is the remainder when f is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 310 - 100. Does 7 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30*51*25\/(-57375)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (183 - 82 - 98)*(8*l**4 - 4*l**5 - 8*l**4).\nAnswer: -12*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -36. Suppose -5*d + h = -14. Suppose -2*t - 1 = -d. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1383785\nAnswer: 1383785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 344 divide 317174536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t + 3*t + 9. What is the first derivative of 2*w**2 + 0 + 3*w + t - 3*w wrt w?\nAnswer: 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -14*i**2 - 449*i + 428. Let z be s(-33). Which is the closest to z? (a) -102 (b) -5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-20))\/d)\/(d*d**(-17)*d)*(d\/(d\/((d**15*d)\/d)))\/(d**13\/d*d) assuming d is positive.\nAnswer: d**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 105069527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 63.59 and 6362.\nAnswer: 404559.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c + 14*c**3 - 6*c**3 - 2*c - 6*c**3 to the form y*c**2 + o*c**3 + h*c + u and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of 22*u + u**2 + 7\/9*u**3 + 5\/18*u**4 + 0 + 1\/30*u**5. Solve r(k) = 0 for k.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -25. Let s = -6 + h. Which is the nearest to s? (a) 2\/3 (b) 3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**25)\/s**(-1\/9) assuming s is positive.\nAnswer: s**(-215\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -86 - -83. Let l(b) = b**2 + 4*b - 9. Let d be l(-6). Sort -2, 2, n, d in decreasing order.\nAnswer: d, 2, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 15*w + 704. Suppose v + 15 = -5*i, 0*v - 3*v + 3*i = -9. Let y be p(v). What is the greatest common factor of 44 and y?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 2 - (3 + -18 - -10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -13333+-0.4\nAnswer: -13333.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 + 93 = -7*g. Calculate the common denominator of -93\/16 and 111\/g + 14\/8 + -2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**4 - 2*i**4 - 2*i**4)*(-3 + 2 + 2 + (2 + 2 - 3)*(-7 + 3 + 0))*(-9*i - 11 + 11).\nAnswer: -27*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 91608 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 4*j - 55, 0 = -5*j + 5*k + 26 + 60 - 51 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, i: 1, n: 1, l: 4}. What is prob of picking 1 i, 1 k, and 1 l?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11 + -17c?\nAnswer: -18d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -268, -557, -934, -1447, -2144, -3073, -4282?\n\"Answer: -8*d**3 + 4*d**2 - 245*d - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7975638*r**2 + 34299696 wrt r?\nAnswer: 15951276*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*-2)\/(1\/(6\/(-96)*-8))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -83, -3, -8, 313, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/25 of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d**2 + 39*d - 278. What is c(7)?\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 4*t**2 + 4*t + 7. Let f be w(5). Let v(c) = 3*c + 6*c**2 - 4*c**f - 12 + 0*c**2 - 5*c. Is 12 a factor of v(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1449.8 - -1.109?\nAnswer: 1450.909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8781?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 3*x**2 - 1. Let m be c(2). Let w = -36.32 - -36.32. What is the third smallest value in w, m, 5, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -42*n - 278. What is i(-5)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.04 + 5.04. Let m = -7 + k. Let d = -1 - m. What is the biggest value in 1\/2, -3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.009722 + 150.\nAnswer: 149.990278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 12 = 4*z, 0*z - 2*q + 6 = 5*z. Suppose z = a - 0*a + 1. Let p = -0.07 + -0.43. What is the nearest to a in 0.2, p, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-4629)\/9*3)\/(0 - (-6 - -7))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/4)\/((-3123)\/(-1388))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1264776308 and -15.\nAnswer: 1264776293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 99884.22 rounded to the nearest 1000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 89\/3 - 2\/(-6). Let v = -674 - -680. What is the greatest common factor of v and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 520904*v + 1. Let o(h) = 3*h. Give o(f(z)).\nAnswer: 1562712*z + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5269)\/264 - ((-8 - (-14)\/(-1)) + 2).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 6*r**3 - 305*r - 9. Let j(p) = 18*p**3 - 916*p - 30. What is 10*c(m) - 3*j(m)?\nAnswer: 6*m**3 - 302*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 - 32 - (-4)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/427 and -41\/136274.\nAnswer: 953918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/10? (a) 7 (b) -4 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -1739*f**3\/6 - 6249*f**2\/2 - 4181*f. Differentiate t(h) wrt h.\nAnswer: -1739","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 5) to base 9.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-99))\/(((-1)\/((-99)\/(-18)))\/34).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 6\/673 (b) -11 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 7*z. Let g(d) be the third derivative of -d**5\/24 - 21*d**3\/2 + d**2 - 66*d. Let f(m) be the first derivative of g(m). What is f(a(v))?\nAnswer: -35*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**2\/2 - 5*c - 39\/2 = 0.\nAnswer: -3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 821*u**2*x**3 - 36*u**2*x**2 + 3*u**2 + x**5 + 1 wrt x?\nAnswer: 4926*u**2 + 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 45960*s + 1240896. What is w(-27)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -212*i + 22219. Give x(103).\nAnswer: 383","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.762 and -1.5?\nAnswer: 5.643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 166 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11\/12 + 24\/(-36). Which is bigger: -6 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -2, -1, 0, 49\/97, 3\/4 in decreasing order.\nAnswer: 3\/4, 49\/97, 0, -1, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-40)\/6*51\/(-68). Solve -j = -b + 2*t, b - 5*t = -0*t + 14 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2530705403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.56539 take away 4.012?\nAnswer: -3.44661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-4) - (-12 - (-92597)\/620))*215\/(-18). Solve p - 344\/9*i + 2\/9*i**2 = 0.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 5:44 AM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -8*u**3\/3 - 36372*u**2 - 290848*u - 1744832\/3 = 0.\nAnswer: -27263\/2, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/21? (a) -5 (b) 0 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + o + 5*l - 10 + 41 = 0, 4*o - 15*l + 54203 - 54266 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 192 and 5520?\nAnswer: 22080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 0)*(-75*w - 52*w + 30*w).\nAnswer: 291*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 200340440?\nAnswer: 200340435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggggpggggggggggg. Give prob of sequence gpgg.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/4*(-120)\/(-36). What is the third smallest value in 0.3, -0.3, 2, w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 6\/389, -1 in decreasing order.\nAnswer: 1\/3, 6\/389, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -461*o + 5*o**3 - 460*o + 1394*o - 473*o.\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o**2\/o)\/o*o**(4\/3))**43 assuming o is positive.\nAnswer: o**(301\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -0*i - 4*i - 75, -2*i - 34 = 2*f. Let o = -232 + 236. Let x be (-95)\/(-18) - o\/i. Is x equal to 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/(-20))\/(18\/150). Solve -12 = 2*a - i*m, -8 = 38*a - 36*a - 3*m for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 437*j = 1488*j - 43091 for j.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r - 117 = -25*r. Let q be 2\/(-4)*(-5 - -3). Is 16 a factor of ((-192)\/r)\/(q\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 7:42 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 10:57 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 121\/9 - ((-6320)\/(-560) + 2\/(-7))?\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -39*t + 3. Calculate r(1).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 10, -26, -94, -200, -350, -550?\n\"Answer: -k**3 - 10*k**2 + k + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/15 of a millennium?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -1. Let i = 3 - s. Let l(o) = 3*o - i*o**2 + 10*o**2 - 7*o**2 + 4. Calculate l(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*z = 3*u - 1, u + 2*z - 14 = 0. Does 5 divide 1\/u - (-215)\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 614 and 2456.\nAnswer: 2456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 9*x**2 + x - 5. Suppose 2*z = -2*j + 26, -2*j = -5*z + 5 - 10. Let a be j\/65 + (-230)\/(-26). Calculate t(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32 + 32 - 65 - 4*j - j**2 - 2*j**4 to the form t + y*j**2 + w*j**4 + r*j + d*j**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 566*u - 571*u - 4*j + 14, -5 = -u + 5*j for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.1547524 + 4.1250886. Let y = -4.97984 + a. Let o = y + -0.3. Round o to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7696 - 7538. Is 156 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -14*l + 9*l - 30, 26 = 3*m - l. Suppose 4*f + f - m = 0. Sort -1, f, 5, -8 in decreasing order.\nAnswer: 5, f, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7515 and 405.\nAnswer: 67635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + (137 - -88) + -76.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (127 - 37*k + 127 - 256)*(0*k**3 + 0*k**3 - 2*k**3) to the form j*k**3 + u*k**2 + o + w*k**4 + x*k and give w.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 3:38 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - z - 2. Let x be (14\/8 - (-57)\/(-57))*4\/9. Let i(a) be the first derivative of -14 + 2*a + 1\/2*a**2 - x*a**3. Determine 5*i(o) + 6*v(o).\nAnswer: o**2 - o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.80696 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-48)\/20*(-20)\/8. Let s(z) = 2 - 2 - 7*z + l*z. Let r(o) = -o. Give s(r(p)).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.3, -3\/5, 8\/9, 2\/15 in ascending order.\nAnswer: -3\/5, -0.3, 2\/15, 8\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35.9 - -36. Let q = 0 - 2. Let d = 2 + q. Which is the second biggest value? (a) f (b) d (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10732 = -869*u - 1173 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 11:29 AM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.2, 146780\/9, 0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1290, 2580, 3870, 5160, 6450, 7740?\n\"Answer: 1290*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 n, and 1 z when three letters picked without replacement from jnuvuzw.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 756 and 205128.\nAnswer: 615384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -5*i - v + 12, 0 = 2*i - v - 4. Let k be -1 - (3 + -3 + -4). Sort k, i, -3 in descending order.\nAnswer: i, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3477\/4858 + 1\/694. Let n = -155\/9 + -1792\/9. Let l = n - -5309\/24. Calculate the common denominator of m and l.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1022770?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*i = -5*h - 5, -4*h - 3*i = 0. What is the remainder when 9 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22918673?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-6 - (6 - (-5 + 9))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 + 89\/3. Let f = 37.65 - 36.65. What is the third biggest value in -0.1, d, f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cwk when three letters picked without replacement from kwwkwkck.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/4, 2, 5, -267, -21?\nAnswer: -267","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - 18*l + 22. Let z be m(-19). Suppose -59 + z = -4*d. What is the remainder when 24 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 - 30) + (-2 - (14 + 4)) + 10?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*c**5 - 8*c**4 + 8*c**4 + (2*c + 2*c - 2*c)*(5*c**4 - c**4 - 3*c**4).\nAnswer: -3*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11870232 rounded to 4 decimal places?\nAnswer: -0.1187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5150040334 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -252 + 611. What are the prime factors of p?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17327*n**3 - 339684*n**3 + 86032*n**3.\nAnswer: -270979*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*x - 8*x + 4*x - 15 - 7*x**5 - 2*x + 5*x**4 wrt x.\nAnswer: -140*x**3 + 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1240 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18927, -75696, -170297, -302724, -472971?\nAnswer: -681032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 212482318 to the nearest integer?\nAnswer: 597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (324\/63 - 5)*0. Let x(p) be the second derivative of -1\/13*p**3 + 1\/78*p**4 - 7*p + d + 2\/13*p**2. Factor x(i).\nAnswer: 2*(i - 2)*(i - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 270376435?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 4279816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -0.2 (c) -9560\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 2*o - 48. Let j be 32\/6*(-3)\/o. What is the second biggest value in j, 0.5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32968134 by -3663126.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 90\/11 and 7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -c**4\/12 + 7*c**3\/3 - 13*c**2\/2 - c. Let v be o(11). What is the highest common divisor of v and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -864, -3449, -7752, -13779, -21536, -31029, -42264, -55247?\n\"Answer: -i**3 - 853*i**2 - 19*i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -6*h + 4*h. Let k be h\/24 + (-594003)\/18. What is k rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 844446167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-558746\nAnswer: 279373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 729.363057376 - 592.36305607. Let r = a + -137. Round r to 7 decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -f**4\/4 + 10*f**3\/3 + 11*f**2\/2 + 35*f. Let b(p) = -p**2 + 7*p + 4. Determine 11*b(u) - 4*c(u).\nAnswer: u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70 and 21.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61304.\nAnswer: 2, 79, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gs when two letters picked without replacement from {f: 1, s: 3, g: 1, c: 4, p: 6, b: 5}?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) -968 (c) -1 (d) -4\/9 (e) 3\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -417, -820, -1235, -1668, -2125, -2612, -3135, -3700?\n\"Answer: -s**3 - 396*s - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nenenneeeeene. Give prob of picking 1 n and 1 e.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 20*h**2 + 280*h + 9. Calculate d(-14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j - 1. Let b be 1*(-2 + (-4 - -2)). Let q be i(b). Calculate the highest common divisor of 24 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 702 and 156?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 3*b = o - 24, -4*o + 63 = b. Let u be (6\/4)\/(o\/40). Let m = 10 - -10. Solve -u*n = n - m for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3 - 1 - 1 - v. Let w be (6 + -2)*75\/(-60). Let q be (-4)\/(-12)*(-6 - w)*9. Calculate i(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -35, -3, 35, 4.\nAnswer: -35, -4, -3, 4, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 534*u - 1039*u = -6565 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -621325, -621327, -621329, -621331, -621333, -621335?\nAnswer: -621337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 44412723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.432, 145\/6, -0.028, 0.1 in ascending order.\nAnswer: -0.432, -0.028, 0.1, 145\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -789.01 - -793. Let f = 3.39 - y. What is the biggest value in f, 30, 1?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (116*u**3 + 9*u**4 - 116*u**3)*(-55 + 3 - 166)*(-1 + 0 + 2) to m*u**4 + p + t*u + q*u**2 + b*u**3 and give m.\nAnswer: -1962","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -65*z + 104. What are the prime factors of w(-11)?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1873 - -4429. Is y a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (152\/176)\/19*-2 + (-29677)\/11. Round o to the nearest ten.\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 5*y**3 + 2*y**2 + y + 3185. Does 91 divide c(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(7)*-1)*-4.\nAnswer: 4 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14688 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7227930859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b - 14*b = -3. Let w = -0.01 + -1.99. Which is bigger: b or w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 14399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/8)\/1*(-26272)\/4926\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 435.9445911 to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 3 (c) 2\/7 (d) -0.04 (e) -2.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00241178 rounded to four decimal places?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -c + 16, -2*x - 2*x = 5*c - 36. Let l = c + -2. Let m(v) = -v**2 + l*v**2 + 0*v**2. Let b(k) = -3*k. Determine m(b(y)).\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -42*j + 5. Let y(h) = -8*h - 2. Let i(a) = -r(a) + 4*y(a). Calculate i(-6).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 578890 = 14*b + 578932 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -5*a**3 - 10*a**2. Let s(x) = x**2. Determine 30*s(t) + 3*u(t).\nAnswer: -15*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**3 + 9358*b**2 + 6433360*b - 11488443496 = 0. What is b?\nAnswer: -2726, 773","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -t**4\/4 - 10*t**3\/3 - 11*t**2\/2 - 12*t + 5. What is the least common multiple of w(-9) and (-1)\/(-1 - (-12)\/16)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 5*o - 75, -19 + 72 = 4*o - b. Let m(w) = w**3 + 12*w**2 + 9*w - 8. Let y be m(-11). Let p be 231\/49 + 4\/y. Solve o = p*n - 2*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 15 = -4*u. Let r = u - -6. What is the remainder when (9 - 8 - -2)*1 is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a decade in months?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 12:02 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3963140 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from ababaabbaaabaaaa.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 2d7a?\nAnswer: 2d7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 13 - 41. Suppose -2*k - 35 = -c*k. Let s be 61\/5 - k\/35. Solve 2*l + s = 5*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-188)\/(-20) - (-4)\/(-10). Suppose -3 = -t + s. Let w = -63 - -66. Solve -t = -3*j - 4*r, 4*j = -0*j - w*r + 16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a + 2. Determine b(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -2. Suppose f - 8 = -z, 2*f + 25 = -i*z + 56. Suppose 26 = f*k + 5. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -54.8 and -1.26?\nAnswer: 69.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/11))**(-2\/5))**13 assuming b is positive.\nAnswer: b**(-52\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -75.93276942 rounded to three dps?\nAnswer: -75.933","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40 + 42. Sort -1\/5, -3, w in decreasing order.\nAnswer: w, -1\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + n = 1, l - 4*n - 17 - 1 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of g*v**3 + g*v**2 + 14967*g - 4287*v**3 wrt v?\nAnswer: 3*g*v**2 + 2*g*v - 12861*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -94 + 108. Let z(w) = w**3 - f*w**2 - 12*w + 34 + 23*w - 9*w - 8*w. What are the prime factors of z(15)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -376*k - 15*k = 31*k + 9221 + 19053 for k.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -h + 2. Suppose -151*u + 16 = -147*u. Suppose -2*c + b = -h*c + 80, -4*c - u*b = -64. Is c a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -556 - -546.84. Let w = -9 - a. Let s = w - 0.1599963. What is s rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2395 = -76*x + 4673. Calculate the highest common divisor of x and 186.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*w**2 - 77*w**2 - 69*w**2 - 460*w**2)*(5*w + 7*w - 6*w).\nAnswer: -3540*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 40, 18, -20, -74?\n\"Answer: -8*a**2 + 2*a + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1108615 is divided by 3029.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 533215287?\nAnswer: 3, 11, 73, 89, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 57, -5 in descending order.\nAnswer: 57, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*m = 9, -2*y - 8 - 2 = 4*m. Suppose o + 0*q - 3*q + 1 = 0, -3 = 3*o + y*q. Is 21 a factor of (-260 + -13)*o\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 850357.4l in millilitres?\nAnswer: 850357400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00689538863 to five dps.\nAnswer: -0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + f - k + 7 = 0, -3*f = -k + 5. Let s = f - -4. Suppose 4*y - 3*z - 151 = 184, 135 = s*y + 5*z. Is 20 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccfm when four letters picked without replacement from {m: 1, f: 1, p: 11, c: 2}?\nAnswer: 1\/16380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-12\/11))**(5\/9)\/((j\/((j**(3\/11)\/j)\/j))\/(j*j**35)) assuming j is positive.\nAnswer: j**(299\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1757*h - 1750*h + 2*q = 11, 6*h = h + q - 14 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/(-15))\/(-6)*(-15)\/(-9)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -l + 2974 + 4*l + l + 2*l**3 - 2982 as h*l + z + o*l**3 + c*l**2 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2. Let i(m) = -3307*m. Determine c(i(j)).\nAnswer: -10936249*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1340 + 789 - 974 + 1729)*(i**3 + 4*i - 4*i).\nAnswer: 2884*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -108411 or -108412?\nAnswer: -108411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 16 = -2*h, -4*n + 54 = 5*h + 18. Let l be 1*(0\/h)\/(-1). Is (-59)\/(-2)*(2 - l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -38 - (1471 + -1413)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3658820?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-6)*l)**(-23\/5) assuming l is positive.\nAnswer: l**(-184\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pmmxdxxzdm. What is prob of sequence pdmd?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*q - 297 - 284 = 139 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, r: 1, k: 1, m: 1}. What is prob of sequence hhk?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/9 (b) 2 (c) -1\/10 (d) -1504\/7 (e) -56 (f) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of -x**4\/6 - 37*x**3\/6 - x**2 + 4*x. Find the first derivative of g(d) wrt d.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.91959 + 0.92. Round s to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1026?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2517*k + 109533. Determine w(44).\nAnswer: -1215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 5*g + g - 8*g = -0*j - 3, 3*g + g = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*d*g**3 + 83*d*g + 6*d + 25*g**3 + 3*g**2 - 5*g wrt g.\nAnswer: 18*d*g + 150*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**2 - 3*k + 7. Let g(h) = -h**2 - 3*h + 6. Let w(i) = -2*b(i) + 3*g(i). Let a(q) = 2*q - 9. Let f be a(6). Calculate w(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/20 - (-15)\/30.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -0.63 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 70\/23 <= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.8478 + 0.0368. Let o = 0.189 - f. Which is the nearest to 0.1? (a) 5 (b) 33 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 64493\/32 or 2014?\nAnswer: 2014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 4*q = 4*t - 4, 4*t + 4*q + 36 = 0. Let s(f) = -3*f**3 - 5*f**2 - 3*f + 3. Is s(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-126)\/(-33))\/(94\/154 - (-558)\/(-1302))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 15*i**5\/2 + 133*i**4\/4 - 567*i**3 - 1041*i**2\/4 + 385*i\/2 = 0.\nAnswer: -11, -5\/6, 0, 2\/5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 451961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nzxziknkgnknnnx. What is prob of sequence xkz?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-6))\/((-12)\/(-18))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197833.\nAnswer: 181, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -18\/5 (b) 4 (c) -1 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(4050) - (sqrt(4050) + ((sqrt(4050) - ((sqrt(4050) + 0 - sqrt(4050)) + sqrt(4050))) + 4)**2)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10 + 33 - 9 - 39*x**3 wrt x.\nAnswer: -117*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.08 + -0.08. Let h = c + -5.99999987. Round h to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lll. Give prob of picking 2 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/2 + 4 + 6\/(-336)*92. Which is the nearest to 5? (a) z (b) -5 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -o**7\/14 - o**5\/30 + 43*o**2. Find the third derivative of i(z) wrt z.\nAnswer: -360*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 10*r - 10. Let m be u(9). What is the third smallest value in -0.1, m, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 14. Suppose -i*o + 4*j = -204, -5*o + 259 = -5*j + j. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + (-36 + -16 - -7)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 25, 3, -5, 101 in descending order.\nAnswer: 101, 25, 3, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 178 + -157. Suppose -b*u = -0*u - 42. Solve 0 = -u*d + f + 3, -4*d + 3*f - 5 = -14 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-8) + 6482\/4 + -1. Let j = 1611 - q. Calculate the common denominator of -79\/8 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of -f**5\/60 + f**3\/3 + f**2. Suppose -3*v + 2*w = -14 - 8, 3*v + 5*w = -13. Suppose 0 = 2*a - 0*a - v. Give l(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12538 times 0.4381\nAnswer: 5492.8978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o + 1. Let h(w) = -1 + 2*w + 10 + 2*w + 0. Let f(v) = h(v) - 5*l(v). Let n = 9 + -5. Calculate f(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1988104724?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a hour in minutes?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h. Let v(y) be the first derivative of -2503*y**3\/3 - 736. Give v(n(x)).\nAnswer: -10012*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -129b962?\nAnswer: -129b960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 0, -3163, 22 in increasing order.\nAnswer: -3163, -13, 0, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 89593?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*p + 29*p + 22*p + 14*p.\nAnswer: 18*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of -b**6\/15 - b**2\/2 + 66*b. What is the derivative of t(o) wrt o?\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6255 and 3475?\nAnswer: 31275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 259 + 4111 = -5*m. Let y = 16610\/19 + m. Which is the closest to 1? (a) -1\/3 (b) y (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3 - u**2 + 5*u**2 - u + 3*u.\nAnswer: 2*u*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*w - 178*w - 2131 = 8165 for w.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -72*p + 843. What is the tens digit of h(-47)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48*0.001\nAnswer: 0.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 (base 7) in base 16?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = x - 21, -l + x + 3 = -0*x. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 180212?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -1595*w + 24. Let p(n) = -274342*n + 4122. Calculate -4*p(l) + 687*r(l).\nAnswer: 1603*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 103*k + 5. Let m(z) = -124*z - 6. Let g(a) = -5*m(a) - 6*v(a). Let r(w) = -5068*w**2. Calculate g(r(n)).\nAnswer: -10136*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -7*c + 15. Let w(v) = 8090*v + 97081. Let g be w(-12). Solve 3*z - g = -x, -3 = -c*x - z - 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -746*j**3 + 35*j - 2470*j**3 - 29*j - 6*j.\nAnswer: -3216*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 774304272?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 - (19 + 97 + -155).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 982477019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6357 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: Solve 0 = -554*v + 535*v + 209 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aq when two letters picked without replacement from aasaaaaqaqaaaaaaaqaa?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ft when two letters picked without replacement from tfmfmfmjjfmmmfmmffff.\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -202*h**2 + 6 - 24 + 22*h**2 + 18.\nAnswer: -180*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**4\/15 + 91478*u**3\/15 - 349087288*u**2\/5 + 28206863872*u\/15 + 29254217216\/15 = 0.\nAnswer: -1, 28, 22856","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 5*c - 4*s + 26, 24 = -5*c + 2*s. Let m(k) be the second derivative of k**3\/6 + 4*k**2 + k. Give m(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1818343326?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 2030.8602 to the nearest 100.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 229 + -221. Suppose 10*y = 5*f + m*y + 200000, -3*f = -5*y + 120000. Round f to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 17. Let j = i - -22. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 204 = 5*d + 243, -3*h = -4*d - 25 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -573 + 578. Solve 3*x - s + 11 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1302560.\nAnswer: 2, 5, 7, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qx when two letters picked without replacement from qqqqqqqxqqqqqqqqqqqq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*k - 4 = 103*k. Suppose -9*h + k*h = -21. Let q = 0.3 + 0.2. What is the closest to 1 in -1\/3, q, h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -50 or -657\/13?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -2.2. Let y = 3 - k. Let m be 3*1\/21 + 0. Which is the nearest to -0.1? (a) y (b) m (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2194, -2199, -2204, -2209, -2214, -2219?\n\"Answer: -5*k - 2189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**2\/17 + 59040604*r\/17 + 435724115085602\/17 = 0 for r.\nAnswer: -14760151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 463 + 0 + -3 + 5. Suppose -4*c = c + f. Let d = c - -170. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(176) + -5 + 1 + sqrt(1100) - (-1*-2*sqrt(66))\/sqrt(6))**2.\nAnswer: -480*sqrt(11) + 8000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/14 + -31\/42. Let x be (-19)\/((-171)\/(-108)) + 511\/42. Sort -0.2, -2, g, x.\nAnswer: -2, g, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-3) + 0)\/(-2 + -7 + 13). Which is the second smallest value? (a) 14 (b) q (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*f**3\/4 - 495*f**2\/4 + 621*f\/4 - 189\/4.\nAnswer: -(f + 21)*(5*f - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -2) + -2 + 4 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 581\/391?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 8*m - 2. Let o be j(-3). Let f be (o\/(-3))\/((-2)\/3). Round f to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236.4 rounded to the nearest 10?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -85*k**2\/2 + 38. Let g(u) = -3*u. Let m(b) = 4*b. Let f(i) = -3*g(i) - 2*m(i). Determine f(l(n)).\nAnswer: -85*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1594 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 7*g - 20 = 5*u, -u - 4 = 0. Let o(b) be the third derivative of 1\/60*b**5 + 0*b + g + 0*b**3 + 1\/12*b**4 + 4*b**2. Factor o(a).\nAnswer: a*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -f**4\/8 + f**3\/2 + f**2\/2 - 2*f. Let i(g) be the first derivative of a(g). Differentiate i(d) with respect to d.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/(-48)*6\/9 - (21 - (-203740)\/1952)?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167163315 >= 167163313?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 2908.\nAnswer: 2908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) 4 (c) 0.08 (d) -0.3 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 207.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -131 - -192. Which is smaller: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 27*l. Let z be v(-29). Solve z*k + 3 = 59*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -129, -254, -377, -498?\nAnswer: -617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/14 - (-11 - (11180\/(-91))\/10). Sort -0.4351, 5, -1\/5, f in descending order.\nAnswer: 5, -1\/5, -0.4351, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 54*j**2 - j + 242. List the prime factors of w(-9).\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45 (base 8) to base 9\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2. Let m(f) = 326*f**2 - 7801*f + 12*f**2 + 128*f**2 + 7801*f. What is m(g(w))?\nAnswer: 466*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(39) - (sqrt(351)*-4 - sqrt(39))) + sqrt(39))\/(sqrt(3) - (sqrt(192) - sqrt(192)*2)).\nAnswer: 5*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/48*(0 + (-65 - 7)). What is the nearest to 0 in t, -1, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (15 + (-15 - 11))*(-1 + -14). Calculate the highest common factor of 120 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 492, -2, 3541?\nAnswer: 3541","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.16 + 109225.\nAnswer: 109225.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -1606*a - 245. Is g(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-21)*1680\/(-224)?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 + -11. Let y(p) = -2*p**3 - 11*p**2 - 19*p - 4. Let d be y(-5). Calculate the greatest common factor of d and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1770)\/(-12))\/(855\/1368)*(-1)\/(8\/2)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 4)*(2*n**3 - 2*n**3 - n**3)*(18 - 39 + 16)*(3 - 1 - 4).\nAnswer: -10*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 163 = 137. Calculate the common denominator of (b\/(-8))\/(12\/40) and -73\/123.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-12) + 20\/3. Let g(o) = o - 2. Let b be g(r). Let p be 0 + -3 - -14 - 0. Solve 4*c - p = b*h - 0*c, 2*h - 2*c = -4 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -176*o**2 - 804*o + 369*o**2 - 197*o**2 as k*o**2 + s + u*o and give u.\nAnswer: -804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -8. Suppose -2*g + 22 = -o*g. Suppose -5*u = 2*w + g, 3*u + u + 18 = 3*w. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 8. Let g = -14449 + 14472. Which is the nearest to x? (a) 0.1 (b) -1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 70671464 and -5.\nAnswer: -353357320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90 - ((-45 - -142) + 74).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 136 and 2533?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 421250519 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4}. Give prob of picking 4 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express y - 10 + 47*y**2 - 4*y**2 - 4*y**2 + 43 as s*y + u + x*y**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(832))**2 + 3 + (sqrt(1300) - sqrt(13)).\nAnswer: -39*sqrt(13) + 844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m - 5*f = -10*m + 66, m - f - 20 = 0. Solve -y + 3*a = -m, 4*a = -4*y + 1 + 3 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 5*i - 173. Let r(w) = 2*w + 87. Let m(c) = -2*j(c) - 5*r(c). Let d(n) = 5*n - 7*n - 4 + 4 + 0. What is m(d(f))?\nAnswer: -8*f**2 - 89","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 419671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, x: 6}. What is prob of picking 1 h and 3 x?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 195, 346, 487, 612, 715?\nAnswer: 790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 5*w**2 - 2*w + 8. Let o be u(5). Let a be (o\/15*-3)\/((-2)\/10). Let n = 10 - a. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -4*(5 - (-595)\/(-10))?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 216 divided by -3.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 1) + 0 + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3*n**3 - 1. Suppose -2*c - c - 3*u = -156, -4*c + 248 = -4*u. Suppose -3 = c*v - 54*v. Calculate x(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34599127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 332219 * -569.\nAnswer: -189032611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, 53.8, 0.5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 77*o**3 - 6*o. Let c(l) = 80*l**3 - 5*l - 1. What is 5*c(b) - 4*r(b)?\nAnswer: 92*b**3 - b - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -61 - -61. Let h be -8 - -13 - j\/4. Solve -2 = -h*u - 22 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**3 + b**4 + b + 0 + 3*b**2 - 2*b + b**4 - 6 + 0 to the form c*b**3 + a*b**4 + u*b**2 + z*b + r and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 278 - 220. What is the derivative of 0*a - 33*a**2 + 138 - h*a + 60*a wrt a?\nAnswer: -66*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(9 + 944\/(-104)). Let d be (-30)\/105 + 551\/42. Is d equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6 (b) 1\/6 (c) 0 (d) 0.3 (e) -13 (f) -7 (g) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + -1)\/9 + 205734\/(-918). Are -240 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3\/442 - -977\/13702. Is 0 at least h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 31.601?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 6:26 PM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -138\/7, 4, 11, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1988167.\nAnswer: 17, 107, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(343) - (sqrt(63) - (2 + sqrt(63))))**2.\nAnswer: -28*sqrt(7) + 347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13921 - -13920.7. Let p = -0.04 + -2.96. Which is the fourth biggest value? (a) p (b) s (c) 2\/9 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 12 = -4*b, -4*b + 4 = -5*b - l. Let p be b\/3*(-6)\/4. Suppose 4*y + p = 0, 19 - 165 = -5*o - 4*y. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) 258 (c) 2 (d) -1 (e) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1411*b - 10819 + 1320 = 54*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 44341 (base 5) in base 10?\nAnswer: 3096","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 9:58 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 850554?\nAnswer: 850554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*h = -h + 15, 5*p - 2*h = 9. Let a = -55 - -79. Suppose p*i = 12 + a. Does 12 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*a**2*u**3 - 39*a**2*u + 2*a**2 - 3*a*u**3 + 2*a + 450*u**3 wrt a.\nAnswer: -16*u**3 - 78*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 1344?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.09 in -4, -0.04, 2.6, 23?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 41*u**2 + 2*u - 3. Let k be l(2). Let j = 93 - k. Let o = 88 - j. Calculate the remainder when o is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3 + (sqrt(1152)*1)\/(-2*sqrt(400)).\nAnswer: -3*sqrt(2)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -22*u + 46. Let g be p(12). Let w = g + 273. Does 3 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -38 + 17*q - 3*q - 4*q + 104. Let n be y(-6). Factor 3*s**2 + 2*s**5 - 3*s**2 + 38*s**3 - 34*s**3 + n*s**4.\nAnswer: 2*s**3*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = t + 5. Let x(r) = -6 + r**3 + 11*r - 5*r - 11*r**2 + 5*r. Let d be x(10). Solve -4 = t*j + d*s + 4, s = -3*j - 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50102 is divided by 49.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -55190, -110383, -165576, -220769?\n\"Answer: -55193*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 12) in base 4?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 2. Suppose r = f*h + 31, 2*r - 3*h = -4*h + 7. Is 5217\/5 - r\/15 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 74, -24, -5, 2, 49 in decreasing order.\nAnswer: 74, 49, 2, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*b, -2*o = -3*o - 3*b + 475. Is o\/5 + (-28)\/(-70) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 3:21 PM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 18*h**2 + 15*h + 31. Give w(17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6624546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, b: 1, z: 2, y: 8}. What is prob of sequence yib?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 1, 1\/4, -3, 9\/5, 10?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000007299285613 to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*b - b + 2*b)*(0 - 1 + 0)*((1 + 5 - 4)*(-39 - 70 - 36) - 2 - 4 + 5) to the form v*b + y and give v.\nAnswer: 873","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 2*c + 4, 3*g - 3 = 4*c + 1. Suppose 0*d + g*d = 96. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - 7. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 8017 + 32161 = 0. Let f be (-2 - 26\/(-12)) + m\/96. Calculate the greatest common divisor of f and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d0 - 2c?\nAnswer: a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 11*z + 9. Let h be v(-10). Let b = -0.2 + 0.3. Let c = 2.1 - b. What is the smallest value in h, c, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + g - 17 = 0, 4*g = 2*x + g - 17. Which is the nearest to -0.2? (a) x (b) 0.3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a minute in milliseconds?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 5*q + 9. Let n be -3 - -1*(-3 + 4) - -92. Suppose 4*m = 5*l + n, -4*m - 72 = -8*m - 4*l. Calculate the remainder when k(18) is divided by m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = -15*d - 11 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2599 + 40*z**2 - 2599.\nAnswer: 40*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 0*i + 5 - 2*i + 0*i + 7*i. Let o(s) = -26*s - 26. Let l(j) = -16*c(j) - 3*o(j). Determine l(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 - -54. Suppose n - 4*n = -4*f + m, -3*f + 9 = n. Suppose -2*s - f = -2*w - 3*s, -5*w + 9 = 3*s. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 = 3*w - f, 4*w - 2*f + 4*f = 208. Suppose -p - w = -69. Let z be (1\/(-2))\/((-3)\/102). What is the highest common factor of z and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-20) + 1*1067\/110. Solve -2*f + p = 9, -5*f - 12*p + h*p - 27 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**3 + 82*n**2 + 71*n - 98. What is b(-40)?\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 2\/19, 11, -2, 1?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*a - 390*a - 985*a + 137256 = 144*a for a.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 17, 0 in decreasing order.\nAnswer: 17, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*s + 25 = 0. Suppose 2*k - 78 = -0*z + 2*z, -s*z = 20. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 15 - 27. Suppose k + d - 11 = -2*d, 2*k - m = -5*d. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4211907 divided by 3\nAnswer: 1403969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -16850 + -10d4?\nAnswer: -17944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.74 - -7.7. Let x = -1.0401709 - n. Round x to five dps.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -3 + (-4 - (0 + 1 + -3))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*g = -4*w - 304, 4361380 - 4361475 = w - 5*g for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -5) + -6 - 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus -430?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44 - 22. What is the remainder when d is divided by -4 + 3 + 21 + -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 20*a**5 - 25*a**4 - 175*a**3 + 225*a**2 - 45*a = 0.\nAnswer: -3, 0, 1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a centimeter in micrometers?\nAnswer: 64000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 416, 3\/5, -7, -14, -42?\nAnswer: 416","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(5\/(-2))*((-2549625)\/450)\/(-523)?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 900 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = -13*w + 36. Let j be (27\/(-42)*w)\/(60\/560). Solve 7*o + o = -j for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2736 by -8.\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 0 + (-3 - -5) - -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 5*q - 738. Solve -q*p + 6 = -84*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1683*v**3 + 1683*v**3 - v**4 + 17*v**2)*(3 + 2*v - 3).\nAnswer: -2*v**5 + 34*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 5\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.047, 2\/29, 0.1, 8, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 + -14 - 14 - -8?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 5:56 PM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*h*q**3*u**2 - 5*h*q**2*u**2 - 2*h + 10654*q**3 + q**2*u**2 - 1033*q*u wrt q?\nAnswer: -84*h*u**2 + 63924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-10) - 25397\/1090.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31152 divided by 1947.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h. Let j(f) = f. Let o = 65 + -53. Suppose 2*l - 6 = 2*w, w - o = -3*w - 2*l. What is w*q(z) + 6*j(z)?\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f + 4. Let i be z(0). Sort 7, i, -3 in decreasing order.\nAnswer: 7, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o + 14*o + 3*x = 0, -2*o - 1 = 3*x for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11251 (base 6) to base 10.\nAnswer: 1615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 26*t - 58, 13*z + 13644 - 13722 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3632697?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1370, -339, -4978, -14011, -28902, -51115?\n\"Answer: -244*c**3 - c**2 + 2*c + 1613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a week in seconds?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q. Suppose 133*w = 116*w - 68. Let s(u) be the second derivative of -5*u**3\/6 - u**2\/2 - 5*u. What is w*p(z) - s(z)?\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 1\/131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 466.644 times 8.5\nAnswer: 3966.474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -35 (base 14) to base 2\nAnswer: -101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/((-32)\/(-2)))\/((-375)\/600)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(110) + (sqrt(110) - (1*sqrt(110) - sqrt(110)))*-4 + sqrt(110) + sqrt(110) - sqrt(110)) + sqrt(110))\/(2*sqrt(1440) + sqrt(10)).\nAnswer: -3 - sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -46.\nAnswer: -13.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5257737 (base 9) to base 2\nAnswer: -1010101110111101110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*i - 106*i + 2108072 = 0. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -10\/91471 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1501 - 27*i - 1501 + (-5*i + 0*i + 2*i)*(1 + 4 - 3) - 3*i + 6*i - 2*i.\nAnswer: -32*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (2 + (10 - 1)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -u**7\/42 - u**3\/3 - 6*u**2. What is the first derivative of d(o) wrt o?\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -50850*x**4\/13 - 268230*x**3\/13 - 71086*x**2\/13 - 5962*x\/13 - 160\/13 = 0.\nAnswer: -5, -16\/113, -1\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4*j**2 + 4*j + 4. Let i(x) = -x - 1. Let z(o) = o**3 - 40*o**2 + 41*o - 82. Let r be z(39). Calculate r*i(v) - p(v).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -981 times -2\nAnswer: 1962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**4 - 2*t**4 - t**4 + 2*t**3 + 5*t**4 - 6*t**4 - 2*t**4 + (-132 + 132 - 27*t**2)*(0*t**2 - 5*t**2 + 4*t**2).\nAnswer: 21*t**4 + 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/((1 - -4)\/105). Suppose -5*p = -3*q + 20 + y, -q + 17 = p. Suppose 0 = 4*f + 3*f - q. Is 20\/9 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 2*c + 9*c)*(3 - 6 + 4)*(2*c**3 - 3*c**3 + 0*c**3 + 3*c**3 - c**3 + 0*c**3 + (234*c - 24*c - 118*c)*(-2*c**2 - 3*c**2 + 6*c**2)).\nAnswer: 930*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 4*c + 250 + 478, c = 2*r - 492. Suppose -r*t - 146215 = -253*t. Is t 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 11*z**6 - 14*z**6 + 90*z**3 + 95*z**2 - 85*z**3 - 1729*z**2 wrt z?\nAnswer: -360*z**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1515204273?\nAnswer: 3, 11, 45915281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*c + 978599 + 645312. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-28))\/((-14)\/(-98))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.029414978 rounded to five dps?\nAnswer: 0.02941","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -1625.\nAnswer: 487.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i + 2 - 17 - 3*i.\nAnswer: -i - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1228?\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -24 + 25 - (-3 + -3 + 2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 3 + 5. Suppose 8*i - 50 + 2 = 0. Suppose 3*l - i*l = 2*d + 4, 3*l - 3*d = 6. Put -1, a, l in ascending order.\nAnswer: -1, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of 1 + 0*k**3 + 1\/2*k**2 + 2\/5*k**5 + 0*k + 0*k**4. Find the second derivative of f(o) wrt o.\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11112 (base 3) to base 9\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + (-19)\/(-7))*672\/256?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34038?\nAnswer: 2, 3, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.02, 15, -19\/498?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-234)\/(-104))\/(2*3\/24)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11064 divided by -4\nAnswer: 2766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1342.\nAnswer: 2, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1999, 1995, 1991?\n\"Answer: -4*n + 2003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 378 and 294?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/16 and -51\/311144?\nAnswer: 622288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by -661.\nAnswer: 24\/661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + -1 + 2)*(-1)\/1. Suppose 4*b - 6*b + 240 = g. Calculate the greatest common divisor of b and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -52969, -52967, -52965?\n\"Answer: 2*w - 52971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1819, -5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of 7\/15*r**4 - 75*r**2 + 0*r + 196\/15*r**3 + 0 + 1\/150*r**5. Factor p(u).\nAnswer: 2*(u + 14)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-334)\/(-26) - 4) + 8\/52)\/(-1)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 22, 39, 76, 139, 234?\nAnswer: 367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 522?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/279 and -11\/899?\nAnswer: 8091","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.442 + 0.042. Let x = -0.0279 - -0.0579. What is the second smallest value in m, 0.4, x, 9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -5*x + 15, -3*f = -x - 0*x - 1. Let m = 140 + -125. Let d be m*7*(-3)\/(-63). Solve 0 = -2*c + d*p - 15, c + 0*c = -x*p + 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 13*y - 10. Let m be h(15). Solve -5*j + 25 = -2*s, -j + m = -5*s + 3*j for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - (-22 + 4)) + (10 - (4 + 0))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 148 and 12543.\nAnswer: 50172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 6244111.7?\nAnswer: -624411.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 344.033 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5855 + -5716. Solve 147*v - b*v + 24 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 377 + 269 = 0. What are the prime factors of (o\/(-24))\/((-2)\/812)?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3 - n**2 - 12*n.\nAnswer: n*(n - 4)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2898683.7 - 77.\nAnswer: -2898760.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 11) to base 8.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.99, -6\/11, 9?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 + 1071*o - 91164.\nAnswer: 3*(o - 71)*(o + 428)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a + 4*c - 280 = 0, 2*c - 838 + 770 = -2*a for a.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*n + 1000 - 1035 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 5*b**2 - 6*b + 3. Determine p(-5).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -226545596*h**3 - 1781008*h + 8.\nAnswer: -1359273576*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 107*t + 3479. Determine y(-47).\nAnswer: -1550","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**4\/11 - 581556*k**3\/11 + 139459194*k**2\/11 - 277173728*k\/11 + 138296088\/11 = 0. Calculate k.\nAnswer: 1, 238, 290538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*w + 73*w = 519*w - 1367045. Calculate the remainder when w is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 11:39 AM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-6 - 0) + -14 - -16.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) 4\/5 (b) -0.18 (c) 3 (d) -813\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 296488, 592976, 889464, 1185952, 1482440?\nAnswer: 1778928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -186 + 933\/5. Let z = 2.96 - -0.04. Which is the third smallest value? (a) o (b) z (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 380 and 118135?\nAnswer: 8978260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 252 and 18.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/229998 and 62\/21.\nAnswer: 1609986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -13138\/461657 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 60 + (-223 - -91) + -35\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -649, 10, -10, -3, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 2\/29, 0.2, -25\/3, 1\/6?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -64*k - 181. Calculate the lowest common multiple of u(-3) and 628.\nAnswer: 6908","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 350207171 to the power of 1\/3, to the nearest integer?\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 16*h**2 - 14*h. Let d be z(15). Let i be (0 - -3)\/1 - 3. Solve 0*c + 3*c + d = i for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21753 bigger than 21747?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.99041 - -0.99. What is s rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -14 + 6. Suppose n + 5*j = g*j + 8, n + 4*j - 11 = 0. Let p be 5 - (1 + -2 - (-13)\/2). Which is the smallest value? (a) n (b) -0.4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**2 + 1 - 1 + (44*b - 3*b - 23*b)*(2*b + 0*b - 5*b) - b**2 + 2*b**2 + 0*b**2 to s*b**2 + m + w*b and give s.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*z**2 + 5*z + 91 wrt z?\nAnswer: -8*z + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -36a19?\nAnswer: 36a1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 81 + 11 = 20. Calculate the greatest common divisor of 6888 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (156\/10)\/(2 - 32\/15). Let h = t + 12. Let n = 110 + h. Solve 3 - 29 = 2*u + n*m, -5*u + 1 = -4*m for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -w - w - 2*f, -3*f = 0. What is the highest common factor of w and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08258549 rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -53 + -5?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(847))*-5.\nAnswer: -55*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 141 + -145. Suppose 1 - 4 = 3*k. Which is the nearest to 0.1? (a) s (b) -6\/5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -134\/7 (b) 7 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 9 = -77. Suppose -8*t + k*t - 9 = 0. Suppose 3*x - 2 = -4*q, 3 = 5*q + 4*x + t. Is 2 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5220 and 3896208.\nAnswer: 19481040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -412*f**2*u**3 + 89*f*u**2 - 2*u**3 - u wrt f.\nAnswer: -824*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 103.71 + -101.71. Let q be (-3 + 0)*4\/(-6). Which is the closest to q? (a) -0.5 (b) 1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 175, 973, 2793, 6031, 11083, 18345, 28213?\n\"Answer: 66*w**3 + 115*w**2 - 9*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1713 is divided by 496.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1544 - -2568. What is the highest common divisor of 32 and w?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4429, 4428, 4431, 4438, 4449, 4464?\nAnswer: 4483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in -2\/5, 0, 1\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 - -82. Calculate the lowest common multiple of (-4)\/(-2) - (-32)\/4 and s.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 2 = -2. Let j(v) be the third derivative of 0*v**4 - 1\/30*v**5 + 0*v**3 + x + v**2 + 0*v. Let f(g) = -3*g**2. Give j(f(l)).\nAnswer: -18*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 82 - 108 = -3*l, 5*l + 5*s - 35 = 0. Solve 4*a - 8*a - 2*f + 18 = 0, 3*a = l*f - 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of c**4\/30 - 6*c**3\/5 + 81*c**2\/5 + 24*c. Suppose r(o) = 0. Calculate o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -110484201 to the nearest one hundred thousand.\nAnswer: -110500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*8\/18*2526\/(-4). Is -3 + 3*f\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - t - 2*t)*(-3 - 2 - t + 4) - 559*t**2 + 180*t**2 - 331*t**2.\nAnswer: -707*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (25 - (19 + 4)) + (-6 - -6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = q - 2 - 2, 0 = -q - 3*z + 29. Suppose 0 = -4*f + t + q, f - 12 + 1 = 4*t. Suppose -f*s - 2*s = -915000. Round s to the nearest 10000.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7e3 (base 16) to base 15\nAnswer: 8e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 155 (base 10) to base 13\nAnswer: bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 2*k + 2*c = -12, -2*k = 4*c + 6. Suppose -p + 0*p = -5*m - 5, -k*m = 2*p + 3. Let g be -4 + 4 - 5\/6. Is p not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/3*(3*2\/(-42))\/(274\/(-325101))?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 955 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u + s - 4, 0*s + 2*s = -8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1847701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 10:07 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -1. Solve f*x - 9 = 11*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) - (2 + sqrt(147))) + (sqrt(3) + -2)*4)**2 - (1*sqrt(2430))\/(6*sqrt(160)).\nAnswer: -643*sqrt(3)\/8 + 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14\/49 - 74\/14 - 1159\/(-1).\nAnswer: 2, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16691 smaller than 16690?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 757.0675 to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**2 + 8*v**2 + v**3 - 6 - 4*v - 2. Let j = 596 - 602. What is the lowest common multiple of 8 and s(j)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -0.09 (c) -0.3 (d) 0.56 (e) 0.5 (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 3*s - 8. Let f(g) = -g**2 + 6*g - 7. Let h be f(s). Let u(i) = -i**3 - i. Let y be u(1). Are h and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 9:31 PM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*p - 5*x = 6, 3*p = -4*x - 20. Let z = 15 - p. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5*1 + 91744\/(-18377). Which is bigger: -1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93\/3 - (-4 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x. Let b(u) be the first derivative of 15*u**3 - 1300. What is d(b(a))?\nAnswer: -135*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - v - v)*(-44 - 30 + 5*v + 104).\nAnswer: 5*v**2 + 30*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v**3 - 3*v**4 + 7*v**4 - 3*v**4 + 2*v - 7*v**2 + 8*v**2 as p*v**2 + c*v**3 + i + g*v + d*v**4 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*k**2 + 4*k + 31*k**3 - 4*k + 123*k**2.\nAnswer: 31*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10164 by 44.\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(352)*-5 + sqrt(22))\/sqrt(2).\nAnswer: -19*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8\/2467 + 364900\/66609. Which is greater: 4 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/5, 265, 283, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 4:34 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 23 - 47 = 13*h. Suppose -m + 5 = -1. Let s(f) = -7*f**2 - 2*f + 6. Let p(z) = -6*z**2 - z + 5. What is h*s(u) + m*p(u)?\nAnswer: -u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 350 and 470.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 3)*(64*u + 2*u**2 - 64*u)*(1 - 1 - 5*u)*(-2*u**2 + 0 - 1 + 0*u**2).\nAnswer: -20*u**5 - 10*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6929 - 6953. Which is the closest to 0? (a) 4\/3 (b) l (c) 5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212205554 to the power of 1\/2, to the nearest integer?\nAnswer: 14567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -8*f**2. Let d(x) = -2*x - 9. Determine d(t(j)).\nAnswer: 16*j**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 780 divided by -10.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 5*k = -10, -6 = 1169*a - 1172*a + 2*k for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5 = 7. Let j(m) = 0*m + 6*m + s*m - 3*m. Let i(k) = 2*k**2. Determine j(i(y)).\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*u = 7*u + 189 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*p + 2*h - 28, 6*p = 13*p - 3*p + 10*h + 3*h + 119 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -16, -6, 4, 14, 24?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -24*b**3 + 9*b**2 + 2*b + 4. Let o be 2\/(-1) - 16\/4. Let h be z(o). What is h rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1243, -3157, -5075, -6997, -8923, -10853?\nAnswer: -12787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = q - h + 5, 1 = -h. Let l = q + -48. Suppose g - l = -g. Is g a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000367504 to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3432535006 to the nearest integer?\nAnswer: 58588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 6) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3567 and 36.\nAnswer: 42804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/2150 and -61\/9082.\nAnswer: 9763150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 29*a - 40*a - 33 = 108, 0 = 3*a - 12 for h.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x**2 - 7. Let t(a) = -7*a**2 - a - 13. Let b(v) = -5*q(v) + 2*t(v). Let y be (-6)\/(-4) - (-247)\/(-26). Does 36 divide b(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 545693909.\nAnswer: 545693909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-28)\/(-8) - (-5)\/(-10). Solve q*b = b - 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -10*t**3 - t**2 + 134*t - 132. Determine j(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -75 + 73. What are the prime factors of (-626)\/(-6) - c\/3?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by (4 - (-33)\/(-2))*8\/(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2409199, 2409209, 2409221, 2409235, 2409251, 2409269, 2409289?\n\"Answer: z**2 + 7*z + 2409191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c - 28 + 44 - 5*c - 18.\nAnswer: -3*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*b - 414 - 447 = 0, -3*o + 3*b + 861 = 0. Is o a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1413 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 19*u**2 - 68*u - 38. Let m be s(-22). Let l(n) = 0*n**3 + 7*n - n + n**3 - 6*n**2. What is the tens digit of l(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(136) - 5*sqrt(136)*1)\/(6*sqrt(72)).\nAnswer: -2 - 2*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1354 - -1.1354. What is the closest to 1 in b, -280, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2823 - 3122. Suppose -1389 = -6*f + 3*f. Let c = z + f. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3108\/(-2072)*(-2)\/(-5). Let f = 0.01 + -3.01. Which is the second biggest value? (a) f (b) k (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0128607526 to five decimal places.\nAnswer: -0.01286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -1, -2\/55, 11, 378, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-2))\/(5\/90). Suppose 3*w - 51 = u. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242091077?\nAnswer: 23, 419, 25121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15597 = -12*w + 69969. Does 12 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 566*z**6 + z**2 + 703*z wrt z?\nAnswer: 67920*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m\/(m\/m**(-3))))**(-1\/8))**(-12)\/((m\/(m\/m**(-3)))\/m**(-7)*((m\/m**(1\/2))\/m)**(-1)) assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000000008 to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -530 - -3?\nAnswer: -527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44468806?\nAnswer: 2, 22234403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 9 = -4*o. Let f(h) = 15*h - 2 - 7 - 18*h. Let v be f(-4). Solve o*x - 9 = -v for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 3*q. Suppose 120 = -3*h - 3*x, q = -5*h - x - 2*x - 190. Is 15 a factor of (2\/2)\/((-1)\/h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5266574?\nAnswer: 2, 29, 90803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -27*y**2 + 0 + 1\/4*y**4 + 1\/60*y**5 + 5\/6*y**3 + 0*y. Suppose -3*k + 2*i - 20 = k, 3*k - 2*i + 16 = 0. Calculate s(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -48, -80, -118, -162, -212, -268?\nAnswer: -330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 2 = -s, 4*s + 0*x = 4*x - 20 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 6*u**2 + 5*u - 6. Let p(m) = -5*m**2 - 4*m + 5. Determine 3*c(j) + 4*p(j).\nAnswer: -2*j**2 - j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23461 + 54768. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 758224573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -139*j - 66. Let c(z) = -2*z**2. Give c(k(r)).\nAnswer: -38642*r**2 - 36696*r - 8712","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -94 - -22. What is r rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 89094240 and 2880?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*f**3*n*x**2*y - 5*f**3*n*x*y + 4925*f*x**2 + 404*f*y - 10*n*x*y + 4*n*y + 70*x**2*y wrt x.\nAnswer: 8*f**3*n*y + 9850*f + 140*y","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + (1 - 2) + 0. Suppose 3*s = l - 14, 0*s + 8 = -2*l - 3*s. Suppose -k - 2 = 3*a + 2, 0 = -l*a + 5*k - 31. Are n and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63.1*-35.\nAnswer: -2208.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3504293267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3.060012*2\nAnswer: -6.120024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 103659.5\nAnswer: -51829.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 3*f + 15 = 0, f = 2*j - 2 + 7 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(3) + sqrt(3) + sqrt(147)*-3 - sqrt(3)).\nAnswer: 80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/2 + 41*r\/2.\nAnswer: -r*(r - 41)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -2. Let a = 0 - 4. Sort u, a, 3 in ascending order.\nAnswer: a, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*m**2 - m - 20*m**2 + m.\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of j**4\/30 - 2*j**3\/15 - 3*j**2\/5 + 3*j. Find r such that w(r) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-3*1\/129). Suppose -2*u = u + 4*i - 31, -t = -5*u + 2*i. Put u, 5, 2 in ascending order.\nAnswer: 2, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (30*c - 58*c + 49*c)*(606 + 81 + 195) to the form w + p*c and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*11596.\nAnswer: -23192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t**5\/7 - 30*t**4\/7 - 116*t**3\/7 + 1804*t**2\/7 + 5490*t\/7 - 7150\/7 = 0.\nAnswer: -5, 1, 11, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1050842 and 1014.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (77*w - 60*w + 54*w)*(-2 + 5 + 1)*(-3*w + 0*w - 9*w)*(-2*w**2 + w**2 + 2*w**2).\nAnswer: -3408*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54092 is divided by 131.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 - 213*t**2 - 646*t - 432.\nAnswer: (t - 216)*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 46493505?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(600) - sqrt(600)*3*2) + sqrt(600) + sqrt(600))\/((sqrt(33) - sqrt(396)\/(3*sqrt(12)))\/sqrt(11)).\nAnswer: -135*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 1. Let b be j(1). Suppose 2*y - y - 17 = -p, b = 3*y - p - 39. Is y a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -55 - 24*v**2 + 55 + (2*v + 1 - 1)*(-2*v + 2*v - 3*v).\nAnswer: -30*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-28781)\/(-119) - (-2)\/(-2). Let m = -240 + v. Factor -15\/7*u**3 + 0 - m*u - 3*u**2.\nAnswer: -3*u*(u + 1)*(5*u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/11, 3.8, 2, 4, -0.2, -44?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 a when three letters picked without replacement from {i: 5, a: 13}.\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -89 + 94. Suppose q*v = 4*v - 3*j + 755, -4*j = -3*v + 2304. List the prime factors of v.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 485*g**2 - 26890*g + 11825 = 0. What is g?\nAnswer: 43\/97, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 5*m + 148, 30 - 252 = 3*b + 4*m. Which is smaller: b or -73?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2096 + 1.0806. What is i rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4407 or -4406?\nAnswer: -4406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 2*x - 18 = 0, 160*c + 3*x = 156*c + 20 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 1:41 PM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 5. Suppose -3*u + 5*d + 3 + 1 = 0, y = u - 4*d + 1. What is the derivative of 0*c + 3 - u*c - 2 wrt c?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(-1)\/6*-3. Let v(g) = 6*g - 3. Let k(n) = 3 + 3 + 2 - 17*n. Let f(o) = 4*k(o) + 11*v(o). What is f(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.7 + 1.49. Let m = 0.210052 + q. What is m rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-22)\/(-33)*3\/2. Let x be (4 - -2)*((-19)\/2 + r). Calculate the remainder when 65 is divided by x*3\/(-9)*(-2)\/(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 0 + 0)*(0 + 0 - 2*t) - 21*t**2 - 12 + 12 + (-37 - 3*t + 21*t + 36)*(-11*t + 16 - 16) - 3 - 2*t**2 + 3.\nAnswer: -217*t**2 + 11*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -l**4 - l**3 - l**2\/2 - 7*l + 7609. Let a(c) = 9*c**3 + 5*c**2 + c + 13 - 2*c**3 + 0*c. What is -3*a(y) - 5*j(y)?\nAnswer: -y**3 + 2*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 9423?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2011*f - 2010*f - 83497 = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*q - 858 = 139*q for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/3 + (-1406)\/(-6). Suppose -4*v = -x - 397 - 59, -x + q = 2*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*((c**(11\/2)*c)\/c)\/c)**4 assuming c is positive.\nAnswer: c**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 + 0*m**2 + m**3 + (-2 + 1 + 2)*(-3*m**2 + m**3 + 3*m**2))*(-10 + 3 + 26)*(3*m - 4*m + 3*m) + 4*m**4 - m**4 + 0*m**4.\nAnswer: 79*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 15, 36, 35 in increasing order.\nAnswer: 3, 15, 35, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118911 is divided by 36.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8323 - -7951. Which is bigger: -2237\/6 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 2, -g = -4*v - 4 + 19. Let n = 0 + v. Calculate the highest common factor of n and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (34\/(-6))\/(11\/(-66)). Let u(n) = 11 - 7*n**2 - n + 12 - t + 10*n + 9. Let b(w) = 11*w**2 - 14*w + 3. Calculate 5*b(j) + 8*u(j).\nAnswer: -j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1507351*g**3*r**3 + 76*g**3*r + 2*g**2*r**2 + 500*r**2 wrt r.\nAnswer: 9044106*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*o - 673 = -673 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*l + 2*x - 56789 + 56769, -2 = 3*l + 4*x for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 885 = 237. Suppose 2*m + p = 122. Calculate the lowest common multiple of 162 and m.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jfdj when four letters picked without replacement from fooojodfj?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1107, 1124, 1149, 1176, 1199, 1212, 1209, 1184?\nAnswer: 1131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**3 + 14*j**2 + 12*j - 5. Is k(-5) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14033703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 g, and 2 r when four letters picked without replacement from {t: 3, g: 1, k: 3, r: 5}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g - 13. Let f be x(6). Let r(n) = -n**3 + 5*n**2 + 8*n - 2. Let o be r(6). Suppose -f*z - 35 = -o*z. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(133)*2 + sqrt(133) + (sqrt(133) - (1*sqrt(133) + sqrt(133))*5))*6)\/((-1*sqrt(567))\/(sqrt(9)*1*-3)))**2.\nAnswer: 24624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qkllzlzlt. Give prob of picking 1 k and 2 z.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -94, 0, -6\/5, 3\/2, 3?\nAnswer: -94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 2:35 PM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17994 and 20993.\nAnswer: 125958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + -61)*((-84)\/(-378) - (-1)\/9).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 + (-4 - -9) + -9 - (17 - (41 - 9)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 17*m**3 - 862*m**2 + 27*m + 11. Let r(c) = -6*c**3 + 288*c**2 - 10*c - 4. What is 11*r(u) + 4*t(u)?\nAnswer: 2*u**3 - 280*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 3 + 3 + 3*p + (2*p - 5*p - 3*p)*(20 - 11 + 27).\nAnswer: -213*p + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2225*h**3 + 407*h - 9.\nAnswer: -13350*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1277*o + 359040 = 2202*o + 494*o + 1637*o for o.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**5\/13 - 12052*j**4\/13 = 0.\nAnswer: -6026, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-85)\/10)\/17*1)\/(7\/(-2))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 2:18 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-27)\/(-12) + (-3)\/(-4). Suppose 0 = k*f - 961 + 82. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -2*r - 9, -6*r = -4*f - 4*r - 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**2 + 307*c - 308 = 0 for c.\nAnswer: -308, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 932 a factor of 10666720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x**3 + 0*x**3 + 5*x**3 - 2 + x**3 + 2 + (-2*x**2 + 0*x + 0*x)*(3*x - 2*x + 0*x) + 2 - 2 - x**3.\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -18. Suppose 1 = 5*i - q. Solve 3*c + 3 = -3*j + 6*j, -5*c + 16 = i*j for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -12. Let q = v + 5. Let z(t) = -4*t - 1. What is the units digit of z(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/6376029 and 51\/4443899.\nAnswer: 146648667","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 2, -5, 8 in descending order.\nAnswer: 8, 4, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 31682790 and 72870417?\nAnswer: 728704170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f\/(f*f*(f\/(f\/(f\/(f**8*f*f))))\/f))\/f*f*f)**(-1\/46)\/(f\/(f**18\/f)*f**(2\/71)) assuming f is positive.\nAnswer: f**(51383\/3266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 8. Let k(t) = 11*t**2 + t + 2. Let y(v) = 22*v**2 + 2*v + 5. Let d(n) = 7*k(n) - 3*y(n). What is d(c)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ldzlllldolozzlll. Give prob of picking 1 l, 1 d, and 1 o.\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 5.6. Let q = -3 + 2.8. Let d = w - q. Sort d, 0.1, -3\/7.\nAnswer: -3\/7, d, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/(990\/(-15))*-1*33?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) -134 (b) 0.4 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -84 + 16. Let r = n + 338\/5. Which is the third smallest value? (a) -5\/2 (b) r (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 7*v**2 + 7*v + 1. Let p(a) = -a**3 + 6*a**2 - 3*a - 5. Let k be p(5). Let r(c) = 6*c**2 + 6*c + 1. Give k*r(y) - 4*t(y).\nAnswer: 2*y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (4 - 2) + 3 - -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**3 + 5*m**2 + 19*m - 23. Let z be u(1). Solve -4 = 2*q + 4*b, -z*b = 5*q + 2*b + 15 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 62*g - 66*g. Let v be 4\/3*2*g\/(-2). Solve -v = -2*q - 2 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54228550?\nAnswer: 2, 5, 29, 149, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 117 and 5279625.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 94, 1, 3, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 33*b**2 + 3*b - 95. Calculate the remainder when 50 is divided by t(33).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3589 + 9452. Is 84 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -12*((-20)\/8 - -2). Suppose -8 = -3*d + 4*p, 2*d + 3*p + z = -0*d. Factor -3\/5*x**2 + d + 3\/5*x.\nAnswer: -3*x*(x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.83607 + -3.659. Let c = 0.178 - o. What is c rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16530 and 241860?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302962?\nAnswer: 2, 11, 47, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -9, 0.4, 4\/5, -6\/13?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + 2.9. Suppose 5*s + 66 = o + 287, -5*s + 209 = -4*o. Let w be -4 - 95\/s*-2. What is the second smallest value in w, h, -0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -3*z**3 - 106962*z**2 - 2352075*z - 12934416 = 0.\nAnswer: -35632, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of -j**5\/12 + 85*j**4\/8 + 550*j**3\/3 + 5214*j**2. Factor x(n).\nAnswer: -5*(n - 55)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/20 - (-26)\/(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 4\/5, 5, -0.08?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 6:08 PM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*i - 6*f + 26 = 36*i, i - 5*f = -3*i - 29 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + -2 - 0)*-1. Let m = 3 + -2. Suppose 4 = r + m. Solve r*q - 4*q = -2*l - x, 3*q - 2*l = -1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 18*p**2 + 19*p - 56. Let k be w(17). Let y = -13 - k. Calculate the highest common factor of y and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 654301?\nAnswer: 654301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 55*a - 51*a = -8, 2*q - 5*a = 10 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 2 = -5*s, 0 = 2*m + 2*s - 14 + 18 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -64*w + 24 wrt w?\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3113984587 to the power of 1\/2, to the nearest integer?\nAnswer: 55803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 2 (c) -7562 (d) -5 (e) 3 (f) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -16414.\nAnswer: 5\/16414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 7:00 PM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9592057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + -1 - 2*-4. Suppose v = k - 2*k. What is the nearest to 2\/3 in 0, k, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1029233007.\nAnswer: 3, 11, 457, 7583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-44 + 26217\/594)*28\nAnswer: 42\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.4 * -85240.\nAnswer: 119336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -2. Suppose -12*u + 6*u = -24. Solve d = -u*q - 10 + 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 321 + -171. Suppose 0 = 3*o - 12, x - r = -x + 5*o. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7, -9, -41, -95, -177, -293, -449, -651?\n\"Answer: -l**3 - 2*l**2 - 3*l + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10138475.13 rounded to the nearest 100000?\nAnswer: -10100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a + 5*a - 7*a = 0. Solve 5*b - 2*f = 6, a = -2*b + 4*f + 13 - 1 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 3:54 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 2.061.\nAnswer: -10.305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 8*y + 1. What is v(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**3 - 7 + 7 + (-2 + 0 + 4)*(2*u - 5 + 5)*(-98*u**2 + 586*u - 586*u) + u**3 + u**3 - u**3.\nAnswer: -392*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 18316?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27814 smaller than 27836?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -1\/6*p**3 + 12*p + 0*p**2 + 0. Suppose 2*q + 3*h = -4 - 1, -q = 3*h + 7. Let r(k) = -k - 1. What is q*b(l) - r(l)?\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 8, -x + 3*l + 834 + 25 = 0. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(2\/(-3)) - (-15536)\/32. What is the second derivative of -488 - 16*b + 7*b**3 - m + 975 - 2*b**2 wrt b?\nAnswer: 42*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176 + 109 = c. Suppose c + 66 = -3*s. Let f = -50 - s. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -633*g**3*z**3 - 3*g**3*z + 3*g**3 - g**2 + 588*g*z**3 + z**3 - 3*z wrt g?\nAnswer: -3798*z**3 - 18*z + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39115\/79 or -6?\nAnswer: -39115\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 914 and 73178496.\nAnswer: 73178496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, r: 14}. Give prob of picking 2 s and 2 r.\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1623084 * 0.17.\nAnswer: -275924.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 2*o**2 + 7*o + 6. Suppose 44 = -2*h + 4*h. What is the smallest common multiple of d(-4) and h?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hbhb when four letters picked without replacement from {h: 3, b: 4}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/2, 2\/11, -2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 373278\/990 - (-2)\/(-11). Let h = x + -377. Which is the third smallest value? (a) 0.3 (b) h (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 6953.146ng?\nAnswer: 0.000000000006953146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27 * 0.41.\nAnswer: 11.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 27654 divided by -34\nAnswer: -13827\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1505410 a multiple of 418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -v - 2*w - 249, 0 = 2*v - 2*w + 458. Let f = -33 - v. Let i be (123\/(-3))\/((-5)\/f). What is i rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -190905706 from 0.06785.\nAnswer: 190905706.06785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 2:36 PM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -13. Let r be -12*(-3 - 5\/g). Solve -4*q = f - 6, 4*f - 4 - r = -2*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 6:43 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - (-5)\/750 - (-8 + 6). Let p(j) be the third derivative of k*j**5 + 4\/15*j**3 + 1\/15*j**4 + 0 + 0*j - 8*j**2. Determine s, given that p(s) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2103, 4149, 6171, 8157, 10095, 11973, 13779?\n\"Answer: -2*r**3 + 2060*r + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-nine fifths of a centimeter?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 464 and 304?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -i + 3*f, 9045*i + 12*f - 22 = 9047*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*a + 42 + 19 + 149)*(0 + 0 - 4*a**3) to u*a**4 + x*a**2 + s*a + f*a**3 + b and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 13*p - 6. Let f be w(-14). Suppose f*z + 6 = 38. Solve -h = 3*h + z for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1896*z**2 - 1908*z**2 + 3804*z**2 + 5*z**3.\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16756 is divided by 356.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -706 + 709. Suppose -r*d - 41 = -2*i + 15, 0 = 3*d - 6. Solve 0 = -u - 33 + i for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-54)*(-508)\/635.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, r: 3}. What is prob of picking 3 o?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 402 = 262*h - 72*h + 1162 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 25*a**2 - 21*a - 8. Let t be 6\/(-15) + 54\/10. Suppose -t*g = -g - 44. What is the remainder when s(24) is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35627801 to the power of 1\/3, to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -19*z**2 + 15*z + 2. Let g(j) = 62*j + 9 + 7*j - 14*j**2 - 61*j**2 - 8*j. Let s(n) = -26*f(n) + 6*g(n). What is the second derivative of s(o) wrt o?\nAnswer: 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**3 - p**2 + 2*p + 3*p**3 - 7*p**2 + 2*p**2 - 3. What is the units digit of q(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 10*m - 40. Let y be n(13). What is the closest to -3\/4 in y, 2\/9, -2\/17?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8780 * 339.\nAnswer: 2976420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 873*v + 3503. Calculate z(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009960541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-3)*(-90)\/60 - -3. Let k(v) = 66*v + 11. Let u(s) = 13*s + 2. Determine y*k(l) + 11*u(l).\nAnswer: 11*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 93429 and 210?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 209958215 to the nearest integer?\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 62*w + 1 + 0.\nAnswer: 62*w + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 806 + 1455 = 7*u. Let r = 528 - u. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -203 + 207. What is the derivative of 84*t**4 - 71*t**4 + 80 - 48*t**x wrt t?\nAnswer: -140*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 + 0*u**2 - 2*u**2)*(3 - 2*u - 3) + 4*u**3 + 8*u**3 - 19*u**3 + 2*u**3 - 5*u**3 + 9*u - 10*u.\nAnswer: -8*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137288711 is divided by 866?\nAnswer: 865","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 * 0.072\nAnswer: -0.00432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -10*p - 10. Let n(v) = 2*v + 2. Determine 11*n(d) + 2*z(d).\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 8) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 7 = 19, 4*t - 2*v = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 564623\/10 + -58387. Let x = 1936 + p. Calculate the common denominator of x and 22\/13.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67, -98, -101, -82, -47, -2?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 27929322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -324 = -2*g - 2*h + 320, -3*h - 990 = -3*g. What is the smallest common multiple of 22 and g?\nAnswer: 3586","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4+-684400084478\nAnswer: -684400084482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 7*f**2 - f - 5. Let b(j) = 7*j. Let w be b(-1). Let u be n(w). Solve u*p + 3 + 1 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - j + 10*j + 56 = 0, 0 = -4*n + 5*j + 26. Sort n, -5, 12, 1, -3 in decreasing order.\nAnswer: 12, 1, n, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 113 + 4. Let s be (-70)\/(-9) + 26\/p. Let x(h) = -h**3 - 5*h**2 + 7*h + 5. Let z be x(-6). Are s and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -4. Differentiate -1 + p*i - i - 1 + 2*i wrt i.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 3, 0.5, -3, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 3*l**3\/5 - 19668*l**2\/5 - 39348*l\/5 = 0.\nAnswer: -2, 0, 6558","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 902757\/28 or 32241?\nAnswer: 32241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 12:08 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from nrrrjrrjnrr.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + v - 84 = 0. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.01 (b) 8\/471 (c) -4390\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -50, 5, 17, -2 in increasing order.\nAnswer: -50, -2, 3, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**3 - m**2. Let n be w(-1). Suppose -3*i = -5*x - 940, 2*i = i + 4*x + 325. Let p be 4\/6 + i\/(-120). Does n = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 7*h**3 - h**2 - 4*h - 5. Let j(r) be the third derivative of -13*r**6\/120 + r**5\/30 + 7*r**4\/24 + 3*r**3\/2 + r**2 - 46. Calculate 7*g(d) + 4*j(d).\nAnswer: -3*d**3 + d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by (-1)\/4 + (-183)\/(-12).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 5*v = 16 + 8, 3*p + 2*v - 14 = 0. Suppose -h + 2 = -n, 3*n = -p - 10. Which is the second biggest value? (a) -5 (b) 4 (c) -0.4 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven halves of a meter?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 4 + -3)*1. Let j = 3 + 1. Suppose 0*w - j*w + 324 = u. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 14 = -r. Let y(a) = 2*a**2 + 91*a + 71. Calculate the remainder when y(-45) is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -6*n**3 - n**2 - 4*n + 3. Let v be q(-2). Suppose -29*r + 3 = -v. Factor 1\/3 + 1\/3*k**r + 2\/3*k.\nAnswer: (k + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.12 - 16.72. Let c = b + 17. Round c to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12997515 is divided by 682?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (6*((0 + sqrt(245) + -4 - (sqrt(245)*2 + 5)) + 2*sqrt(245) + 1 + 5))**2.\nAnswer: -1512*sqrt(5) + 9143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dfdtfffwdvffw. What is prob of sequence ww?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/6*(1 + -10). Solve 40 = i*f + 4*x + x, -5*f = 3*x - 40 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54038338 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -117*j**2. Let u(s) = -3*s - 5. Give d(u(y)).\nAnswer: -1053*y**2 - 3510*y - 2925","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -d - 4*b, -4*b - 193 = -5*d + 227. Let c be (-16)\/d - (-1140)\/(-22). Let t = c + 311\/6. What is the biggest value in 0.1, -1, t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -66 + 42. Let z = -19 - m. Calculate the remainder when 27 is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179*s + 358706 - 5408117 = 0. What is the thousands digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/((-3788)\/2832 + (-28)\/(-21)) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/5 (b) -0.034 (c) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 377dd1 (base 15) to base 6.\nAnswer: 132555154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/49305 and 14\/6555.\nAnswer: 1134015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 1527 divide 66777237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4 + 0.3. Let v = 2.95 - -0.05. Sort v, t, 0.\nAnswer: t, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 - -6. Let s be u*(-1 - -2)\/2. Let p = s + 23. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2395131 - 2433068 + 399299 = 37*p. Round p to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v. Let c be h(-4). Suppose -a = -g + a + 35, -c = 4*a. What are the prime factors of g?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11833 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -316, -805, -1622, -2767, -4240, -6041, -8170?\n\"Answer: -164*d**2 + 3*d - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 9, 8, 1, 10 in ascending order.\nAnswer: -4, 1, 8, 9, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.16, 2\/9, -1, -3, 0.6?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**2 - 2*p + 3. Let y(r) = 2*r**2 - r - 6. Let q(t) = -t**2 + t + 3. Let a(h) = 5*q(h) + 3*y(h). Give -4*a(j) - 3*v(j).\nAnswer: 2*j**2 - 2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3*v = -13 - 1, 10 = 3*m - 2*v. Let a(s) = -m + 2 - 2*s. Let u(z) be the third derivative of z**5\/60 - 2*z**2. Calculate a(u(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 376.081209 to one dp.\nAnswer: 376.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0779 - -0.2779. Which is the second smallest value? (a) -2\/3 (b) p (c) 2 (d) 34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 6:43 AM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4*b**2 + 401*b + 2763. Calculate the remainder when x(-7) is divided by 64.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 19 + (-10)\/(2086\/1788*8\/14).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 12633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/18*(-6)\/4)\/((-705)\/11280)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-12) - 8\/(-3). Let g be 3 - (-2 + (1 - -5)). What is the remainder when 0 + f + g - 1 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 168?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -3 (c) -1\/2 (d) -2\/11 (e) -2\/7 (f) 165 (g) -4\/3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5318, 10655, 15992, 21329?\nAnswer: 26666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 799.199 rounded to 0 decimal places?\nAnswer: 799","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 8) in base 7?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**3 + 0*u**2 + 0*u**2)*(-4*u + 5*u + 4*u).\nAnswer: 5*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8561011 + -16?\nAnswer: 8560884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**2 + z**2 + 15*z - 9*z + 1. Let j be g(6). Let x be -1*0*j\/(-4). Solve x = 5*f + 2*l - 28, -f - 5*l + 40 = 4*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2410*a = 12374 + 9483 + 4653 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(-1*(sqrt(343) - sqrt(7))).\nAnswer: -sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 11:57 PM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) + 1 + sqrt(637) + 3 + 4*(-1 + sqrt(637)) + 4)**2 - 5*(1 + 1 + sqrt(637))**2*-1.\nAnswer: 476*sqrt(13) + 26153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9273 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -73 + 36. Let l = 32 + p. Let i = 2 + -6. What is the third smallest value in -0.5, i, l?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -115 - 13. Are -1 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.528 and -97.\nAnswer: 342.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 872?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 1194128855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-1\/2)*z)\/z)\/z**2)**(-2\/31)\/(z*z\/(z\/z**(-8)*z)*z**(8\/5))**(3\/10) assuming z is positive.\nAnswer: z**(1613\/775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6748904 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 + 2)*(153*y - 123 + 123 + 56*y).\nAnswer: -627*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 + 217\/63)*-6. Determine z, given that h*z**4 + 14\/3*z**2 - 2\/3*z**5 - 4\/3*z + 0 - 6*z**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 1211 + 5*b - 1218 - 3*b + 0*b. Is 15 a factor of p(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -35\/3, 1\/6, 8962, -1\/8, -3 in ascending order.\nAnswer: -35\/3, -3, -1\/8, 1\/6, 8962","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (24 + -29 - (1 - 4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r. Let n(l) = -15*l + 35. Let u(o) = 11 + 5*o - 13*o + 23 - 5*o. Let k(b) = -5*n(b) + 6*u(b). Determine k(v(p)).\nAnswer: 3*p + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 6 - 13 - 4*a**2 + 8. What is w(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-2 - (-3 + 3 + -7)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**2 + 111*w + 56. Calculate t(56).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 15 = -3*q, -21*u + 16*u - 2*q + 3 = 0. Put 3, 0, u in ascending order.\nAnswer: u, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -39, -52, -63, -72?\n\"Answer: t**2 - 16*t - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10465847 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 321 a factor of 1042929?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.32 + 0.32. Which is the smallest value? (a) 0 (b) -4\/3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 16 = -3*a - 2*s, a + 11 = -4*s. Put 5, -2, a in decreasing order.\nAnswer: 5, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1397?\nAnswer: 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -250151 times 5?\nAnswer: -1250755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 659*z - 1772*z + 671*z - 14325 = -633*z for z.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/6)\/((-5)\/(-2))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p - d = -6 + 69, -3*d + 15 = 4*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-30)\/45 + 2\/3. Let t be (f + 500)\/(8\/176). Round t to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -4*l + 2*n - 11, -2*n = 2*l + 22. Let g(p) = -2*p. Let i(k) = 1 - 11*k - 12*k - 4*k + 35*k. Give l*g(o) - 2*i(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 369*d - 5515. Let j be a(16). Solve -2*w - 373 = -j for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18562 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 45647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d + 8. Let u be b(4). Suppose 3*v + 192 = 7*v. What is the highest common factor of v and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 2*f - 30 = 0, -9*z + 30 = 5*f + 19 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43237627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0974 and -76028.5.\nAnswer: -7405.1759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 13) in base 9?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*u**4 - 193*u**2 + 72*u**2 + 40*u**2 + 44*u**2 - u to the form r*u**2 + w + t*u + o*u**3 + c*u**4 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13812?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 0, -287\/3, -3, -8?\nAnswer: -287\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -51*y**2. Let f(x) = 256853*x**2 + 22*x. Give f(u(t)).\nAnswer: 668074653*t**4 - 1122*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 651970239.\nAnswer: 3, 217323413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/7396632 and -35\/9862176.\nAnswer: 29586528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a century in months?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -15 + 1 - (37 - 44) - 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 759031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 26805, 32173, 37541, 42909?\n\"Answer: 5368*q + 21437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**3 + 43 + 3*o**3 - 3*o**2 - 35)*(-3*o + 22*o - 10*o).\nAnswer: 9*o**4 - 27*o**3 + 72*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -94833305*v**3 - 155944904*v wrt v?\nAnswer: -568999830*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 515*w + 4. Let v be c(1). Suppose 35*s = 32*s + v. What are the prime factors of s?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 28269445?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -425*p**2 - 3415*p. Let q(o) = -2*o. Let y(l) = -7*q(l) - r(l). Find the second derivative of y(x) wrt x.\nAnswer: 850","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2520\/(-70))\/(((-2)\/(-5)*2)\/(18\/(-45)))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*y - 442 = 0, 0 = -f + 4*y + 9 + 97. Is 14 a factor of f\/8 - 2\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -33\/7?\nAnswer: -33\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 690*h - 19 = 5*s + 693*h, -3*h = -2*s + 26 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 33138.92 - -214\nAnswer: 33352.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -11. Suppose b + 3*b + 5*v + 129 = 0, h*b + 174 = -2*v. Let i = 54 + b. Calculate the highest common factor of 6 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z. Let i(g) = -7273562*g**2. What is i(o(n))?\nAnswer: -7273562*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 201 - -212?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 20 - 0. Suppose k = 28 - 23. Suppose -k*f + 199 = s. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 63487449 and 275112279?\nAnswer: 825336837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/9, 196, 0.4, -1, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 154281603?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 10:40 PM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 63756?\nAnswer: 63757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(1 + (-1)\/2). Let -x**5 + 6*x**5 - x**v - 4*x**5 + 2*x**4 = 0. Calculate x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 3*h - 38. Give z(-6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7400 - 9058 = -16*z - 150*z + 14942 for z.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32541505847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6*(-11)\/(-22))\/((-6)\/(-4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (342*r - 286*r - 532*r)*((2*r + r - r)*(-2*r + 0*r + 4*r) - 2*r**2 + 4*r**2 - 4*r**2 + 5*r**2 - 4*r**2 + r**2 - 2*r**2 - 3*r + 3*r).\nAnswer: -952*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -203332, -203333, -203334, -203335, -203336, -203337?\n\"Answer: -q - 203331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.23 (b) 904\/11 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -76*q**2 + 213*q**2 + 141*q**2 in the form o*q + r*q**2 + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -15\/2*m**2 - 9 - 10\/3*m - 2*m**5 - 35\/6*m**4 - 5\/18*m**6 - 80\/9*m**3. Factor d(q).\nAnswer: -5*(q + 1)**4*(q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(3\/(132\/8)). Let k be (0 - 6\/4)*(f + -45). Suppose -g - 3*g = o - 189, g = -o + k. List the prime factors of g.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 189*p**2 + 2 + 81*p**2 + 4*p + 128*p**2. List the prime factors of r(-1).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -49 (b) 0.1 (c) -3\/16 (d) 3\/2 (e) -0.3 (f) 0.5 (g) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*k**6*k*k*k)\/k*k\/k**6*k)\/(k**(-2\/7)\/((k*k**(-2\/5)\/k)\/k*k)))**(8\/7) assuming k is positive.\nAnswer: k**(1648\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(5)*3) + -5.\nAnswer: -5 + sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1151193 to 4 decimal places.\nAnswer: -0.1151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11\/29 - 317\/377. Calculate the common denominator of w and -53\/11.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2019, -2109, -2355, -2835, -3627, -4809, -6459?\n\"Answer: -13*d**3 + d - 2007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17957922 to the nearest integer?\nAnswer: 4238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31903142?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 163, 324, 485, 646, 807, 968?\n\"Answer: 161*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/30*6\/7.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*l**4 + 18*l**4 + 13*l**4 + (-6*l**2 - 2*l**2 + 3*l**2)*(0*l**2 - 2*l**2 + 0*l**2))*(4 - 1 - 1 + (0 + 0 + 1)*(-2 + 6 - 1) - 2 + 2 - 1 + 2 + 2 - 3).\nAnswer: 130*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -x**3 + 26*x - 128 wrt x?\nAnswer: -3*x**2 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 293 - 342. Are j and 4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 784028 is divided by 1849?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-14)\/(h\/(h\/((h\/h**(-3))\/h))*h)*(h**(9\/5)\/h)\/h**(-15) assuming h is positive.\nAnswer: h**(-11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 258*t**5 - 88*t**5 - 33*t**5 + (-t - 3*t + 3*t)*(-4*t**4 + 4*t**4 + 2*t**4).\nAnswer: 135*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/4*(-12)\/(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1343452, -2686924, -4030402, -5373892, -6717400, -8060932, -9404494, -10748092?\nAnswer: -12091732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -59 - -89. Suppose 5*k + 75 = 4*v, -v - 2*v = 5*k - 65. What is the highest common factor of v and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**3 + 0*l**3 - l**3)*(-l - 2*l + l) + (-20*l + 20*l + 10*l**3)*(-7*l + 0*l - 2*l).\nAnswer: -86*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 856 and 105823?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1450181 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r - 45. Let k = -716 - -696. Let l be i(k). Let p(u) = 11*u**2 - 8. Let w(z) = 7*z**2 - 5. What is l*p(f) + 8*w(f)?\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16256838 rounded to the nearest 1000000?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3248 rounded to the nearest 100?\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - -28. Calculate the greatest common factor of b and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2. Let j(h) = 154*h. Give p(j(f)).\nAnswer: 47432*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 51 (b) -3 (c) 0 (d) 5\/4 (e) -21 (f) 41 (g) 1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9933392.\nAnswer: 2, 7, 31, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*d - 28*d + 37*d)*(6*d**2 - 5*d**2 + 0*d**2) + (-4*d + 2*d + 4*d)*(3*d**2 + 2*d**2 - d**2).\nAnswer: 39*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -23*h**2 - 17*h + 13. Let f(m) = -6*m**2 - 4*m + 3. Calculate 26*f(c) - 6*i(c).\nAnswer: -18*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 32 = -4*r, 17*z + 40 = 13*z + 4*r for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -48*x**3 - 2568*x**2 + 1293*x - 162.\nAnswer: -3*(x + 54)*(4*x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 830*b - 339466. What is k(409)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*m = 49 + 29 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2946.5 and 34.\nAnswer: 100181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2345)\/(-10) + 9\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1620)*-3*-4)\/(3*sqrt(225)*-2).\nAnswer: -12*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 239 - 239. Solve 0 = 4*c + 3*u + 13, l = 2*c + 5*u + 17 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59, 2, 3, -5 in descending order.\nAnswer: 3, 2, -5, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-20)*(-2)\/9*-12\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50774?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 579 + 578 - 2*l**2 - 2254 + 527 + 570.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4, -28, -9.1, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80322 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1998\/(-36))\/(4\/10 - (-59)\/(-110)). What is the greatest common factor of r and 1961?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*d - 33*d - 39*d - 37*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 838*c + 446*c + 1514*c - 107689 = 35009 for c.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 121 - 31?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 65135 and 6980611?\nAnswer: 244321385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 32454923 >= 32454923?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1270 (base 13) to base 3\nAnswer: 10121021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is a80 (base 14) in base 13?\nAnswer: c35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 140701*r + 34577 with respect to r.\nAnswer: 140701","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 - 3)*(10*f - 12*f + 31*f)*(f + 2*f - 4*f)*(8 + 2 + 0)*(-1 + 13 + 0) to the form k + n*f + c*f**2 and give c.\nAnswer: 3480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 4*b**2 - 7*b - 5. Let m be d(-5). Let n(r) = 16 - 12*r**2 - 1 + 5*r + 30 + 13*r**2 - 10. List the prime factors of n(m).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 12. Let a be (-8)\/((-4)\/(-1)) + 2 + h. What is the remainder when 110 is divided by -4 + 1 + 17\/a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 2:42 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 17745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -683 + 5853. List the prime factors of d.\nAnswer: 2, 5, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -2\/7, -19.46, -6\/31?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 4:34 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -14768134 at least as big as -14768130?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*q + 6*q - 5 + 2*q**3 + q as m + p*q**3 + o*q + t*q**2 and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -52*h - 4. Let g(w) = -6*w**2 + 69*w - 2. What is r(g(q))?\nAnswer: 312*q**2 - 3588*q + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5042931 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.5 - -0.54. Let k = 0.17 - r. Let l = 14.13 - k. Is l at most -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -339c - -43?\nAnswer: -3359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 15*k + 82 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*n)*(3 - 4 - 3)*(2*n - 2*n + 2*n).\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 5*k + 38, -2*k = -d - 0*k - 1. Does -9 = d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.6 + -0.6. Let i = z - 3. Which is the closest to -2\/3? (a) i (b) -5 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*z + 50*z - 870 = -41*z + 89*z for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 3\/5, 2\/13, -17, 16, -0.5.\nAnswer: -17, -0.5, 2\/13, 3\/5, 16, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 45010 - 45010 - 548*q as h + i*q and give i.\nAnswer: -548","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 + 3 - 3)*(4*q**2 + 0*q**2 - 6*q**2) - q**5 + 0*q**5 - 2*q**5 + q**3 + q**5 - q**3 + q**2 - 11*q**5 - q**2.\nAnswer: -15*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.6 + -1.55. Let s = 4 - b. Let j = 0.25 - s. Sort j, -3, -0.5 in decreasing order.\nAnswer: j, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -83103\/2 + 39236. Let z(c) = 569*c - 3. Let k be z(4). Let d = k + v. Find the common denominator of d and -37\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a century in months?\nAnswer: 7680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rcc when three letters picked without replacement from {c: 1, r: 1, z: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/20*2\/1. Is b at most as big as 0.17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40406 (base 7) to base 16.\nAnswer: 264e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -31*c - 26*c + 83*c - 29*c. Let l(z) = -11*z**2. Give i(l(y)).\nAnswer: 33*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 602088060 a multiple of 1794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64115734 to the nearest integer?\nAnswer: 8007","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -586015472, -586015471, -586015470, -586015469?\n\"Answer: c - 586015473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k + 12*k - 9*k)*(100*k**2 + 60*k - 118*k + 58*k).\nAnswer: 900*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c + 4*c - c)*(-4 + 6 + 1) + 8*c - 2*c - c + (-16*c + 3*c + 4*c)*(1 + 0 - 3) to p + h*c and give h.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148 is divided by 83.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -3. Let q(v) = -v**2 + 19*v - 89. Let j be q(12). Sort j, -3, d.\nAnswer: j, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-615)\/(-25))\/(-3) - (21 + -26 + -3)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1123 (base 4) to base 13\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of 7*c**3\/6 + 2*c**2 + 41*c. Let f(d) = -2*d - 7. Let y be f(-9). Calculate the remainder when p(y) is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -204 - -199. Let n be (-53)\/y + (-32)\/(-80). Solve 4*h = -4*k - 21 - n, -3*h = -3*k for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -4.7, 3, -2\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.27 - 0.17. Let w = o - 1.06. Let n = 0.96 + w. What is the closest to n in 1, 3, 1\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 7 = 2*r - 5*r, -2*q = -4*r + 8 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*4*10\/(-3)*233\/(-466). Solve 62*c + s = 58*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -j**4\/6 + 41*j**2. Let w(u) = -2*u**2 + u**2 - 4*u**2. What is w(z(p))?\nAnswer: -80*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 582 is divided by 73?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 467*k**2 + 2. Let q(z) = -3*z**2 + 814*z - 1373*z + 559*z. Give q(a(f)).\nAnswer: -654267*f**4 - 5604*f**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7574743*i*y**3 + 380*i*y**2 + 18886*i*y - 2 wrt y.\nAnswer: 45448458*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (60075\/(-11610))\/(5\/(-12)). Which is smaller: z or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 27 = -3*g. Suppose -6*a - 258 = -g*a. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-3) + 6\/(-9). Suppose -3*i - 2*y - 15 + 73 = v, -57 = -2*i - 5*y. What is the lowest common multiple of (-9 - -6) + (10 - -1) and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8868, -17737, -26606, -35475, -44344?\n\"Answer: -8869*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 38214861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -412522 (base 6) in base 5?\nAnswer: -2024101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 b when two letters picked without replacement from {n: 6, a: 2, b: 1, h: 5, u: 2, v: 1}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.04 (b) -0.8 (c) 0.3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24288 (base 13) to base 3.\nAnswer: -10101000210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 837671436.\nAnswer: 2, 3, 7, 97, 11423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/61 in -8, 5, 2\/11, -2\/17, -37?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 6*q = 2*c - 16, -4*q = 3*c + 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -o. Suppose i + i = 4. Suppose i*m = -o*m. Solve m + 2 = f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*y + 30058 = 85*y. Does 14 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**2\/11 - 380*k\/11 - 4272\/11 = 0. Calculate k.\nAnswer: -178, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/8*-3)\/((-54)\/(-72)). What is the second biggest value in m, -1, 3\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -5*t - 27, -t + 2*t = 4*g - 31. Let f(s) = s**3 - 7*s**2 - 11*s + 12. Let m be f(g). Is m\/(-30) + 2013\/5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 3, -1, 8, 21 in descending order.\nAnswer: 21, 8, 3, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bppd when four letters picked without replacement from pbdd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*k + 21. Let i = -1 + k. What is the third derivative of 3*j**2 - 2*j**2 - i*j**6 + 2*j**6 wrt j?\nAnswer: -360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/((b**2*b)\/b)))**(-1\/11))**(-3\/7)*(b\/(b\/b**(-10\/3))*b**(-1\/2))**35 assuming b is positive.\nAnswer: b**(-61949\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1224246856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10\/7? (a) -2 (b) 33 (c) -4 (d) 0.258 (e) 1.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*l = 3*l + 2, n + 4*l - 8 = 0. Which is greater: -2\/3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -1 - 5 + 0*l**2 + 3*l**2 + 11*l - l**2. Suppose -i - 1 = 3*y + 18, -2 = 2*i - 3*y. Let j be b(i). Solve j = -7*w + 2*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51783124 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is 728960 to the power of 1\/2, to the nearest integer?\nAnswer: 854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3 - 6*s**2 - 9*s.\nAnswer: 3*s*(s - 3)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001020002 + 2?\nAnswer: -1001020000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 748bd (base 14) to base 8.\nAnswer: 1046027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/(-25)*(-30)\/(-18). Let z(f) = s - 8*f - 13*f - 3 + 22*f. Let n(x) = -x. Give n(z(h)).\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 96\/10 + 2\/5. Let y = j - 3. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 4, -61*h = b - 65*h - 119. Calculate the remainder when b is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 28379295 - 11565652 = -3*f, -3*u + 12 = 0. Let j = -24414989 + f. Round j to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - 3) + -3 + 10 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 10:23 PM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.194*12\nAnswer: -2.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (46*(-3)\/(-9))\/(22\/(-759)). Which is bigger: -530 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -296*l**3 + 2*l**2 - 775*l + 1547. Calculate j(2).\nAnswer: -2363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of m**5\/24 - m**4\/6 - 17*m**3\/2 - 4*m**2 + 9. Let g(z) be the first derivative of h(z). Determine g(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -327 = -33*r - 30*r + 933 for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/3*(-18)\/(-3). Suppose -n*p + 4 = -16. What is the third derivative of 11*a**2 - p*a**2 - 2*a**5 - 3*a**5 wrt a?\nAnswer: -300*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 33*h + 66. What is the remainder when 278 is divided by 42\/2 - (8\/8 - h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 276 in -0.3, 13, 0.2, -4?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 19*v**2. Suppose -4*p - 2*h - 164 = -p, -5*p = h + 271. Let t = p + 90. Let n(k) = 19*k + 19*k - t*k. Give n(m(o)).\nAnswer: 38*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*m**2 + 18*m**2 - 41*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 234 by 19.\nAnswer: 234\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 3*b + 520 = 4*b, 0 = -4*r + 4*b - 432. Let p = 115 + r. Let y = p - -36. Does 12 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-10\/11)\/z**5)**(4\/11))**(-36) assuming z is positive.\nAnswer: z**(9360\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -586 (c) -4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18)\/sqrt(3)*3*-6*-5)\/(-3*sqrt(98) + -4*sqrt(4)\/sqrt(2) + sqrt(2)))**2.\nAnswer: 675\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + f + 13 = 2*j, 2 = -2*f. Suppose 170 = -2*c + j*c. Suppose -d + 102 = 2*d. Calculate the greatest common divisor of d and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*s - 53*s = 60*s + 1760 for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 27 = 2*q - 0*s, 4*s - 49 = -3*q. Let l = q - 13. Solve -g = -l*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by (1 + 3)*(-35)\/(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-1\/3))\/n**3*n**5*n**(-5))**(-27) assuming n is positive.\nAnswer: n**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 494640, 989278, 1483914, 1978548, 2473180, 2967810?\n\"Answer: -l**2 + 494641*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -102 + 102. Suppose 4*f - 14 = 3*r - f, 2*f - 8 = w. Solve -3*c - 15 = -r*h, 0*c + 5 = -4*h - c for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 637*i*p**2*y**3 + 2*i + p**3*y**3 - 34*p**3 + 4*y**2 wrt y?\nAnswer: 3822*i*p**2 + 6*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yrfrfyyffryfffff. Give prob of sequence yy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1026457000 to the nearest 1000000.\nAnswer: 1026000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -740*m + 640. Let j(a) = -372*a + 321. Let f(v) = 7*j(v) - 3*u(v). Find the first derivative of f(c) wrt c.\nAnswer: -384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*6\/(-9)*(-9)\/12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-8))\/((-5)\/20). Which is the third biggest value? (a) -3\/8 (b) 119 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (1665 + -1647 - (-1 - -7) - (-1 + 27))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 - 30*a**3 + 31 - 17*a**3 - 74.\nAnswer: -47*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -35. Let q = b - 19. Suppose -q*o + 14 = -50. Calculate the greatest common divisor of o and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1244654 a multiple of 437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23209 (base 10) to base 3.\nAnswer: -1011211121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 40 = -4*q + 2280, -3012 = -4*y + q. What is the remainder when y is divided by 108?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 133143, 133139, 133135, 133131?\nAnswer: 133127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4113001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14.6 - -231. Let q = j + -372.9. Let k = q + 127. Which is the biggest value? (a) k (b) 2 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/14*10 - 1. Calculate the highest common divisor of 38 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4*c**2 + 3*c + 46. Let h(p) = -2*p + 40. Determine h(q(x)).\nAnswer: 8*x**2 - 6*x - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116523, 116505, 116487, 116469?\nAnswer: 116451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, g: 2}. Give prob of sequence vgg.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17587*x - 793 = 17648*x for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 35\/(-3) + 6\/9. Let d = -6 - h. Solve -3*s + d = 17 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -37, -79, -123, -163, -193, -207, -199?\n\"Answer: w**3 - 7*w**2 - 28*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from 158.7.\nAnswer: 161.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 558598.\nAnswer: 2, 29, 9631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 448 - -3387?\nAnswer: 37d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zrrbrrirzbzjbzbrr. What is prob of sequence rrjr?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 23\/6 of a hour?\nAnswer: 230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (3\/4)\/((-6)\/16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3674, -4, 1, 0, 67, -5 in decreasing order.\nAnswer: 67, 1, 0, -4, -5, -3674","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 116 and 986?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -17\/4001659?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1876004?\nAnswer: 2, 13, 43, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*a + 5. Let p(n) = 5*n + 3. Let j be p(a). Let h = j - -33. What is the highest common divisor of 99 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -6 - 27 - 6 + 40. Let l(b) = -b**2 - 3*b - 2. Determine -l(r) - u(r).\nAnswer: r**2 + 3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/2)\/(-1))\/(12\/24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*x**2 + 35*x**2 - 84*x**2.\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10143 + 16825. Let a = 11733 - f. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*p = -272*p - 891 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 558*x + 1179 - 3411. Let s(v) = 0*v**3 - 2 - v**3 + 6*v**2 - 3 - 4*v. Calculate s(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3036217689?\nAnswer: 3, 19, 657617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or 4000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -225, -435, -631, -813?\n\"Answer: 7*b**2 - 231*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 31 = -5*c, 0 = 5*v - 4*c - 89 + 81 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.1 (b) -1\/4 (c) 9 (d) 1\/98\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10879 - 3?\nAnswer: 10876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/8 of a day in minutes?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from prrtltmu. What is prob of picking 1 l and 1 p?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15049 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 4 (b) 6\/149 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*l + 3*l - 6*l)*(2 + 2 + 7)*(2*l**2 - 4*l + 4*l)*(3 + 0 - 1).\nAnswer: 176*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 6*y + 12. Does 15 divide d(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of d**4\/12 - d**3\/2 - 69*d**2. Determine c(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1026 times -4.2?\nAnswer: -4309.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 7. Let t(m) = 11. Let a(p) = 8*b(p) - 5*t(p). Let v(g) = -2*g - 5. Suppose -5 = -5*k - 0. Determine k*v(d) + 6*a(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)\/(sqrt(21)\/sqrt(3)) + -6*1*sqrt(45))**2 - (-3 + (1*1*sqrt(45))**2).\nAnswer: 1083","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -31*p**2 - 26*p + 115. Let c(t) = -10*t**2 - 9*t + 38. Let r(u) = 11*c(u) - 4*i(u). What is the least common multiple of r(-8) and 4?\nAnswer: 1628","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 2329?\nAnswer: 2329","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 4*l. Let p(z) = 21*z. Let c(i) = 2*p(i) - 11*s(i). Suppose -7 = 2*k - 3, -t = -4*k - 10. Let j(f) = 5 - 3 - t - f. Give j(c(r)).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -126 - -1390\/11. Which is bigger: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence frnf when four letters picked without replacement from {f: 1, r: 2, n: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 3*c**2 - 2. Let j be s(-2). Let q = j + 0. Suppose 12 - q = -2*x, 3*x + 25 = 2*i. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22221001 - -10120222021?\nAnswer: 10021001020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001239837 rounded to 7 dps?\nAnswer: -0.000124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 + 18. Let t be 16*(-2)\/(1 - k). Let b be 32\/14 + t\/28. Solve 0 = 2*q - 4*w - 12, 24 = b*q - 4*q - 5*w for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -395 - 391\nAnswer: -786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (17 - -7 - 11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 556.\nAnswer: 5\/556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/30*(-162)\/(-1152)*8. Sort 0.3, o, -1.1.\nAnswer: -1.1, o, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3040.112 - 11.488. What is a rounded to the nearest 10?\nAnswer: -3050","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/42)\/(3\/6). Sort 1\/7, r, -1\/5, 1\/5 in descending order.\nAnswer: r, 1\/5, 1\/7, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 21*h + 180 = 0. Let j(s) = 151*s**3 + 3*s**2 - s. Let c be j(1). Calculate the highest common divisor of c and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/sqrt(5) + 4)**2 - (sqrt(153)\/sqrt(9) + 3).\nAnswer: 7*sqrt(17) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17461 + 17657. Calculate the least common multiple of v and 1436.\nAnswer: 70364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/sqrt(5))**2*6 - (sqrt(2448) - (sqrt(2448) + -2 + sqrt(2448))).\nAnswer: 12*sqrt(17) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 13*l**3 - l**2 + 2*l - 1. What is the smallest common multiple of n(1) and 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-1) - (-1)\/(-1). Suppose 0 = 5*o + 1 - 6. Is 6 a factor of o + m\/(4\/(-18))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -0*p - 6. Let f(o) = o + 3. Let h be f(p). Let w be (-4)\/(-2)*h\/1. Solve -q - 1 = w for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r + 0 - r + r - 5. Let w be n(-4). Let i = w - -16. List the prime factors of i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -1296*t**3 + 112*t. Let n be (-5)\/(-45)*6 - (-70)\/30. Let v(u) = 35*u**3 - 3*u. Give n*h(y) + 112*v(y).\nAnswer: 32*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 132, 130, 128?\n\"Answer: -2*v + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*a - 10*a = -34 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126 and 7770?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 54 + -50. Suppose f - 13 = -c, -n*f + 3*c = -41 + 10. What is the first derivative of -31*p - 2 + f*p + 17*p wrt p?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 b when three letters picked without replacement from xxmbbmxxnfxxxfbfbm.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -2\/5, 2, -4, -13\/90, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/3))**(-2\/3)\/(u\/u**8*u)**(-23) assuming u is positive.\nAnswer: u**(-1238\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287 is divided by 224?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, g: 4}. Give prob of sequence xxxg.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33383*t**3 + t - 61 wrt t.\nAnswer: 200298*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3421870660?\nAnswer: 2, 5, 13, 29, 41, 11069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -1. Let m(c) = -6*c**2 + 3*c + 3. Let s(p) = 11*p**2 - 5*p - 5. What is u*s(h) + 5*m(h)?\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -7*s**3 - 8*s**2 - 4*s + 7. Let q(t) = 6*t**3 + 6*t**2 + 3*t - 8. Calculate -4*o(r) - 5*q(r).\nAnswer: -2*r**3 + 2*r**2 + r + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 415 - 403. Suppose 3*v = p - 43, p - 4*v = 4*p - 77. What is the remainder when p is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 113 - 449\/4. Let r = -7 + 21. Let x = 9 - r. Sort j, x, 4 in increasing order.\nAnswer: x, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 258 = s, -6*n + 10*n = 5*s - 1309. Is 29 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of 78653264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1105, 9038, 30559, 72460, 141533?\n\"Answer: 1132*j**3 + 2*j**2 + 3*j - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74, 303, 700, 1277, 2046, 3019, 4208, 5625?\nAnswer: 7282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 2*v - 16. Let m be 4\/(-12)*(-36)\/3. Suppose 0 = 8*i - m*i - 32. What is the least common multiple of v and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 338 - 337. Which is the closest to p? (a) 0.2 (b) -4 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p**2 + 103*p + 741. Let w be s(-7). What is the highest common factor of w and 153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, e: 2, r: 1, t: 1}. Give prob of picking 2 e.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 95 = 103. Suppose -48 = -4*q - u*q. Calculate the lowest common multiple of 10 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 344565 or 344591?\nAnswer: 344565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3961, -4989, -6017?\n\"Answer: -1028*u - 2933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 10:33 AM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express x - 44*x**3 + 156*x**3 + x**4 - 21*x**2 + 2 + 2 - 48*x**3 - 65*x**3 as h*x**3 + t*x**2 + d*x + s + f*x**4 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/(sqrt(18)\/sqrt(3)*-4)*6)**2.\nAnswer: 171\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11525*c = 11465*c + 720 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2613 and 71563973.\nAnswer: 871","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 1277*t - 33850. Let w(x) = -426*x + 11282. Let l(v) = -3*a(v) - 8*w(v). Differentiate l(h) wrt h.\nAnswer: -423","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-3))\/((-96)\/576)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9972*f + 33966 = 8085*f for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5\/(-10))\/((-2)\/(-4)). Let t be 57\/(-266)*(-12)\/(-27). Which is the nearest to t? (a) -0.5 (b) k (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 9432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5, 0.4, 275, -2, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 0 + 1 + sqrt(9)\/sqrt(3).\nAnswer: -4 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27462.\nAnswer: 2, 3, 23, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 0.9, -1\/6, 1, 5.\nAnswer: -1\/6, 1\/4, 0.9, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 6*s**2 - 6*s + 4. Suppose 22 = 4*g - 3*q, -4*q + 3 = 2*g - 19. What is the remainder when 41 is divided by k(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 1 - (-2)\/(-2). Solve -j + 10 = -3*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - d + 4. Let n be b(0). Let z(i) = -2*i**2 - 3*i - 3*i**3 + 4*i**3 + 2*i - n. Suppose 11 = -g - 2*g + 5*f, 0 = -2*g - 5*f + 26. Determine z(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 966*s. Let f(i) = 9549*i**2. Determine g(f(r)).\nAnswer: 9224334*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 251 - 99 = 0. Let p = -39 - d. Calculate the greatest common factor of p and 155.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*i + 24. Let c = i - 11\/2. What is the nearest to 1\/2 in c, 1, -4\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 12 = 0, -c - c = -2*a - 1738. Let l = 4358\/5 + a. Let n = 1849\/3 - 597. Find the common denominator of l and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2038*i**5 - 10450*i**4 + 262*i**2 + 86882 wrt i?\nAnswer: -122280*i**2 - 250800*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/914?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1539 - 10963 = -6429*v + 4089 - 655 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.0389385us?\nAnswer: 38.9385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -182*v + 4955. Determine b(48).\nAnswer: -3781","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 444438432.\nAnswer: 2, 3, 673, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -3*v + 16, 3 = h - 0*h - v for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/10*m**4 + 3441\/10*m**2 + 89373\/5 - 47089\/10*m - 99\/10*m**3 = 0. What is m?\nAnswer: 6, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hq when two letters picked without replacement from hqgar.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 562*x + 1119. Is l(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 9. Let l = u - -9. Let c = 6.973 + -7.973. What is the third biggest value in c, 0, l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 4*m**2 + 2*m - 6. Let a be q(4). Suppose 0 = -2*y - 2, 5*p + 2 = 5*y - 18. Put -1, p, a, 3 in descending order.\nAnswer: 3, a, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-2) - 2\/16. Let o(u) = 2*u**2 + 14*u. Let t be o(-7). Suppose t = 8*v + 17 - 9. Which is smaller: p or v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 301, 306, 311, 316, 321, 326?\nAnswer: 331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 - -26. Suppose -t*d - 16 = 3*k, 12 = k - 6*d + 3*d. Let y(v) = v**3 - 1. Let m be y(k). Which is smaller: -1\/7 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 a factor of 49139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21220211 (base 3) to base 10.\nAnswer: 5773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 293967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 8*b + 55. Suppose -35*i = 343 + 42. What is the remainder when 130 is divided by z(i)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-20)\/(-12) + -1 + (-4)\/3. Let w = -214\/3 + 72. Let d = -31 - -31.2. What is the closest to q in 0, d, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2003540469 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4477 and 259?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5282, -10392, -15326, -20084, -24666, -29072, -33302?\n\"Answer: 88*u**2 - 5374*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2998420*h**2*x**3 - 21*h**2*x**2 - 34*h**2*x - 126*h*x**2 - 2*x**2 - x wrt x.\nAnswer: 17990520*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -26*j**2\/7 + 705582*j\/7 + 162828\/7 = 0. Calculate j.\nAnswer: -3\/13, 27138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**3 + 385*t**2 - 767*t + 383 = 0. Calculate t.\nAnswer: 1, 383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(11) - (-1 + sqrt(11)) - sqrt(11)) + sqrt(121)\/sqrt(11) + 4)**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 49694*-4\nAnswer: -198776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 76\/13? (a) -3 (b) 2\/7 (c) 13 (d) 49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 5*g - 15. Calculate a(11).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 205018*s**3 + 110086*s?\nAnswer: 1230108*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of 0 + 0*o**3 + 1\/195*o**6 + 1\/78*o**4 + 1\/65*o**5 + o + 0*o**2. Find m such that q(m) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120.55572*0.2\nAnswer: 24.111144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of 0*q + 0*q**3 + 0*q**4 - 8*q**2 + 0 - 1\/30*q**5. Let d(g) be the third derivative of g**5\/15 + 2*g**2. Calculate d(o(p)).\nAnswer: 16*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 8, -3, 4, 3.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 536a3c - -3?\nAnswer: 536a41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -j**4\/12 + j. Let f(o) = -2*o**3 + 6*o**2 - 2. Suppose 1 + 7 = 4*l. Suppose 0*w = -2*w + l. Determine w*f(t) + 5*z(t).\nAnswer: -2*t**3 + t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -24. Suppose 3*a + 16 + z = 0. Let u = a + 15. Which is smaller: u or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 99, 146, 145, 96, -1?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 66176.36um in centimeters?\nAnswer: 6.617636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 73*z + 1271. What is c(-18)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34994, 64885, 94776?\nAnswer: 124667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11868 divided by -114.\nAnswer: -1978\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2489827?\nAnswer: 31, 80317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 3 = l, 4*l + 3*h = -64 + 62 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.24754 millilitres to litres.\nAnswer: 0.00024754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*i**2 + 27*i**2 + 35*i**2 - 151*i**2.\nAnswer: -13*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2\/11 (b) -478 (c) 3\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6143576809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7*(-24)\/140*15\/6. Let s be ((18\/44)\/n)\/(18\/120). Solve -s*p**3 + 4\/11*p + 4\/11*p**4 + 2\/11*p**2 + 0 = 0 for p.\nAnswer: -1\/2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2422412232 + 10?\nAnswer: -2422412222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -4*p + 1345, 4*p - 1932 = -2*u - 602. Let j = 710 - p. Is 38 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54087 and 6099762?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, q: 5, n: 1}. Give prob of sequence ny.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.11438 - 0.31438. What is the closest to -10 in w, -2, 0.6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*q**2 - 13*q**2 - 4 + 4.\nAnswer: 39*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**2 + 30*m - 76. What is x(12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 5.2\nAnswer: 2.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 360 times -0.1989\nAnswer: -71.604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 2*l + 2, -5*t = -0*l - 4*l - 18. Let h = -0.84 - -0.832. Let y = 0.392 - h. Which is the nearest to 1\/4? (a) y (b) 4\/5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*9\/((-54)\/20). Let j = -11 + p. Let h be (-1)\/(-7)*16\/8. Which is the biggest value? (a) j (b) h (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3 = i + 1, -2*i + f - 8 = 0. Suppose -14 = 3*x + 5*t, -x - 14 = 3*x + 2*t. Sort i, 19, x in descending order.\nAnswer: 19, x, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7743244997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of 1\/4*v**4 + 0*v**5 + 0*v**7 - 3\/28*v**8 + 0 + 0*v**3 + 2*v + 0*v**2 + 0*v**6. Find the third derivative of r(s) wrt s.\nAnswer: -720*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - sqrt(99)*-3*-4)\/(-2*(sqrt(9) + sqrt(9)*-3)) - (-3 + sqrt(88)\/(sqrt(968)*-2)*-5)**2.\nAnswer: -421\/44 - 61*sqrt(11)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 9 = 2*q - 2*t, 5*q = 3*t + 14. Let u be 3\/((0 + q)\/1). Let 1\/2*d**4 + 0 - 1\/2*d + 1\/2*d**u - 1\/2*d**2 = 0. What is d?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 24809 and -0.471.\nAnswer: 24808.529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23160 and 1740.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/(-6))\/(3298\/1164))\/(37\/111).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/(-1 + (-6)\/(-4)). Let r = 64 + x. Suppose -5*m + 72 = -r. Is m a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5667 (base 10) to base 13\nAnswer: -276c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/26 - 4968\/(-4680). Which is the closest to 3? (a) p (b) 2\/5 (c) 0.1 (d) -0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a second in milliseconds?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -12222, -175, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -125 and -4610689333.5?\nAnswer: 4610689208.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 581104571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*v = -5*v - 35823, -5*u - 6*v - 59706 = 0. Let g = 6480 - u. Round g to the nearest 1000.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115295 is divided by 33.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -5*x + 80. Let w be 20\/(-2)*(-6)\/4. Suppose -9 = -5*o - 3*s + w, -4*o - 3*s + 18 = 0. Calculate the smallest common multiple of o and x.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/5)*a*a)**0 assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/7))**(4\/15))**(18\/5) assuming h is positive.\nAnswer: h**(-48\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -113 - 383. Suppose g = 4*k - 0*k. Does 43 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of k**4\/3 + k. Let x(u) = -u. Determine w(x(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o - 5*j + 17 = -14*o, 3*j + 60 = j - 10*j for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 298 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 22, -7755\/2, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r\/(r**(-6\/11)*r))\/r))\/(r*r**(4\/19)\/r*r)*((r\/r**11*r)\/r)**20)**(3\/2) assuming r is positive.\nAnswer: r**(-125247\/418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 18 + 7 + 8 - 1.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -50760697.739 - 639.\nAnswer: -50761336.739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3037509.\nAnswer: 3, 17, 19853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 166 + -80. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17213*n + 10373 wrt n.\nAnswer: 17213","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 0)*(-1 - 2*u - 5 + 4) as o*u + k and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 24264?\nAnswer: 24261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12508, -12717, -12926, -13135?\nAnswer: -13344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*r**4 - 117061*r**3 - 32574236*r**2 wrt r?\nAnswer: 120*r - 702366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 792, 1565, 2332, 3093, 3848?\nAnswer: 4597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 greater than or equal to -91\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t + 11. Suppose -7*q + 109 = 81. Let m be l(q). Suppose u - 7 = 1. Solve 5*c - m = 2*c, -3*x + 2*c - u = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) -129483 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2*n + 5101 + 1475 = 0, -3*h + 3945 = n. Calculate the least common multiple of 33 and h.\nAnswer: 14454","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 3*c. Let h be 2 - (-2)\/(1 + c). Suppose 3*l = 2*j + h + 33, l = -4*j + 3. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 626763631289.5 take away 0.3?\nAnswer: 626763631289.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 12*c**2 - 16*c + 3. Let m be b(-13). Let g = m - 110. Let t = 122 + g. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**3*o*o*(o\/(o*o\/o**(2\/19)))\/o*(o\/o**(6\/11))\/o*o*o**(-7))**(6\/17) assuming o is positive.\nAnswer: o**(-4314\/3553)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -888*l*v*y**3 + l*v*y**2 - 350*v*y - 2*y**3 wrt l.\nAnswer: -888*v*y**3 + v*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -585, -575, -553, -513, -449, -355, -225, -53?\n\"Answer: s**3 + 3*s - 589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 12 - 3 = 0. Let h = n - -9. Calculate the remainder when 33 is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-6))\/((-2)\/(-3)). Let k be 0*g\/(3 + -2). Let z(s) = -s + 1 - 4*s + 4*s. Determine z(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 5. Let r(q) = q + 4*q**2 - q**n - q**2 + q**3 - q**2 + 2. Calculate r(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 1209894\nAnswer: -604947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y - 3*i - 15, -2*y - 696*i - 1 = -695*i for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.204 to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (6\/130)\/((-61)\/7137)\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 1:58 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 5:24 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6945.238 days in milliseconds?\nAnswer: 600068563200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.8 + 2.2. What is the second biggest value in -0.02, 3, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14381*s + 10748*s + 33297*s + 17818*s.\nAnswer: 76244*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -i - a, 0 = -4*i + 2*i + a + 96. Calculate the remainder when i is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.7 + 0.7. Let v = -6.7 + 6.6. Let w = -625\/7 - -89. What is the closest to v in w, 0.4, a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5623 + -28212\/5. Let o = -19 - j. Which is the nearest to 1? (a) -2\/19 (b) o (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17932489.008 minus -3945?\nAnswer: 17936434.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*i + 9168 - 3082 = -210*i for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -7. Suppose -n*k - 551148 = 420140. Let s = -1155644 - k. What is s rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 14*g**2 + 2*g + 1. Suppose -5*x + x = -w - 6, 2*x + 8 = -5*w. Let y be -6*((-2)\/4 + x). Let m be d(y). What is the highest common factor of 11 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 146760436 divided by -1.\nAnswer: -146760436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 12:14 PM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o + 16 = -3*u - 3*o, -3*o + 10 = -2*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of 2\/3*c**3 - 5 + 3\/4*c**4 - 3\/2*c**2 - 2*c. Solve h(g) = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g + 1. Let i be r(-1). Let c be 560\/2*i*3\/15. Let z = c + -1968. Round z to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -4. Let f = 363380 + -363379. What is the nearest to f in 2\/7, 1\/19, p?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.6005689 + 7.70056534. Let r = a + -2.1. What is r rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -8*g**2 - 8 - 19266*g**3 - 519*g - 4*g**2 + 908*g**3 + 528*g. Suppose 2*b = 8*b - 48. Let v be y(b). Round v to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -117 - -121. What is the highest common divisor of g and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j**2 + 5\/2 + 0*j + 5\/2*j**4 + 0*j**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**5*d**(-4))\/(d\/(d\/(d*d**(-4\/5)))*d*d*d**(-5)*d) assuming d is positive.\nAnswer: d**(14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 14 + 7 + -12 + -32?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -4)*(3 + -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 11587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/93 and 0\/2 + (-28)\/(-78)*-1.\nAnswer: 1209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (174\/9)\/((-14)\/84). Is 5\/(-2)*(-18)\/(-15) - i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2753 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*p + 56*p = 3*q - 330226, 5*q + 4*p - 550362 = 0. What is q rounded to the nearest one thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85257985 to the power of 1\/2, to the nearest integer?\nAnswer: 9234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 5*k = 24, 0 = -20*m + 15*m - 2*k - 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 99 - 79. Let j = 147.9 + -168. Let a = t + j. Which is greater: a or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 2*k = 19, -2*l - 883 = 4*k - 933 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q*q\/(q*q**(-1)))\/q)\/q**1)\/((((q**3*q)\/q)\/q)\/((q\/q**9)\/q)))**(18\/7) assuming q is positive.\nAnswer: q**(-180\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*t**4 - 840*t**3 + 6*t**2 + t - 518641.\nAnswer: 8*t**3 - 2520*t**2 + 12*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/14*(8\/(-60))\/((-12)\/10).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.130025634 to 3 dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -58, -71, -88, -109?\n\"Answer: -2*x**2 - 7*x - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 146*b**4 - 32?\nAnswer: 584*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*b - 149789 = 22471. Does 12 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228*k - 4 = -227*k. Is 8 a factor of (k\/(-9)*6)\/((-1)\/(-183))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w. Let x be v(0). Suppose 0 = -2*m + 6 - x. Find the first derivative of -2 - 3 - l**m + 6 wrt l.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**3*y\/(y*(y*y**(-3\/4))\/y*y)*y**(1\/5)*y**(-6\/7))**16 assuming y is positive.\nAnswer: y**(1172\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.1, -1\/2, -2308, 5, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 18*y**2 + 2*y - 35. Let g be k(18). Put g, -4, 6, -2 in ascending order.\nAnswer: -4, -2, g, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -3*m**4\/4 + 3075*m**3\/4 + 56505*m**2\/4 - 188475*m\/4 - 1248471\/2 = 0.\nAnswer: -19, -6, 7, 1043","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 494000 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 253, 534, 827, 1132, 1449?\n\"Answer: 6*s**2 + 263*s - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 12, 17?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -0.82 (b) -38 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-2 - ((0 - 2) + 0)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 403 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -96 + 99. Find the second derivative of 15*n - 4*n**3 + 29*n - 5*n - 16*n**l wrt n.\nAnswer: -120*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17141136?\nAnswer: 2, 3, 357107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 10, l: 3, u: 1, g: 4}. Give prob of sequence lj.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k - 1. Let v(h) = -2*h - 93. Calculate 4*d(l) + v(l).\nAnswer: 2*l - 97","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1321401 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-113*m - 56*m - 29*m - 48*m)*(-5 + 5 + 4*m**3).\nAnswer: -984*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -2*i**7\/35 - 5*i**3\/6 - 2*i**2 - 10*i. Let n(t) be the first derivative of q(t). What is the derivative of n(w) wrt w?\nAnswer: -48*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -362, -13, 5 in descending order.\nAnswer: 5, -4, -5, -13, -362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 949*w + 289*w + 0.\nAnswer: -660*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 11:30 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t - 4*r - 17, -49*t + 90*t = 39*t + 4*r - 58 for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32538.2 - -12532.9. Round q to the nearest one hundred.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/2 + (-8)\/(-2 + -6). Find the common denominator of -19\/96 and (27\/b)\/(3 - (-414)\/(-132)).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 10:44 AM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1735 + 1726 = 3*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10021113231 + 1?\nAnswer: -10021113230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from itbfufk. Give prob of picking 1 t and 1 f.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 b when four letters picked without replacement from jjjjjjjjbjjbbbjjjj?\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3 + 2759*o**2 + 6908*o + 2764.\nAnswer: -(o - 1382)*(o + 2)*(2*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of m**4\/4 - m**3 - m**2 + 2*m + 4. Let t be c(4). Let f be (-4)\/t - 6\/(-30). Sort 2, f, -1\/3 in increasing order.\nAnswer: -1\/3, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i\/i**(-10)*i**(-11) assuming i is positive.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 4*g + 45497, 7*d - 11*d + 36408 = 2*g. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -42132 - 0.1421709.\nAnswer: -42132.1421709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 0. Suppose -14 - 106 = -k*d. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -205633, -205621, -205601, -205573?\nAnswer: -205537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 15*u**3\/2 - 3470*u**2 - 1909425*u\/2 - 4685875 = 0.\nAnswer: -190, -5, 1973\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6536246 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**3 + 19196*d**2 - 153672*d + 230544 = 0. What is d?\nAnswer: -9606, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4, -10, -16, -22, -28?\n\"Answer: -6*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1451444 - 514?\nAnswer: -1452402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(3) + 2 - (sqrt(27)\/sqrt(9)*-4 + sqrt(3))) + -1)**2.\nAnswer: 14*sqrt(3) + 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*c + 6*c = 18400, 3*o - c - 13776 = 0. What is the remainder when o is divided by 40?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/b**(-13\/2))*b)\/(b**(1\/8)\/b)*b*(b\/((b\/((b\/(b*b**10*b)*b)\/b))\/b))\/b*b**(-14))**(-1\/38) assuming b is positive.\nAnswer: b**(229\/304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(3\/10))**15*h**(-10\/9)\/(h**(-1\/12)\/h*h) assuming h is positive.\nAnswer: h**(665\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 692 + -674. What is the remainder when 843 is divided by l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(((-15)\/5)\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) -372 (c) 48\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3 = 0, 4*n + 0*q - 2*q = 42. Suppose 3*k = -0*k - 27. Let r = k + n. Solve 22 + 4 = -5*j - 2*i, -3*j - 2*i - 18 = r for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -0.31\nAnswer: -0.124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + 2 + 2 - -2. Let a = 1 + 1. Let m(z) = 0 + 4 + z**q + 8*z + 6*z**a - z. What is m(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**3 - g**3 + 0*g**3)*(-2*g**2 + 3*g**2 - 4*g**2) + (g + 2*g - g)*(-4*g**4 + 2*g**4 + 4*g**4).\nAnswer: 7*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -9648.5*-2.52\nAnswer: 24314.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 89 - (-65 + 79 - -62)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1))**(-26))**(-7\/2) assuming j is positive.\nAnswer: j**(-91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 941232 and 9490756.\nAnswer: 113889072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17967, -35887, -53785, -71655, -89491?\nAnswer: -107287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 413697310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -232, -237, -244, -253, -264, -277?\n\"Answer: -k**2 - 2*k - 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -122.7 rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -9 - 35*d + 12 - 45*d**2 - 3. Suppose -14*u - 2 - 54 = 0. Let i(n) be the third derivative of n**5\/12 + n**4\/6 - 19*n**2. Give u*c(o) - 35*i(o).\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*g**2 + g**2 - 10 + 10.\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -15.5 (b) -13 (c) 2 (d) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 5*n**2 - 1. What is p(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -84 + 83. Let k be ((-17)\/(-4))\/(x\/(-20)). Let f = 107 - k. Does 4 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5190875621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (48\/15)\/(-4)*-5. Solve 0 = b*r - 0*r - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 415772011898 minus 2?\nAnswer: 415772011896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3507 is divided by 344?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -24\/1513 and 155\/9078.\nAnswer: 9078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 + 122 + (-1548)\/(-86)?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, 13, -5, -3, 2, 5 in increasing order.\nAnswer: -39, -5, -3, 2, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 87782272 + -2?\nAnswer: 87782270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a meter in millimeters?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5162 divided by -58\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 - 15272*w + 56085415.\nAnswer: (w - 9127)*(w - 6145)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -41.3 and 8.\nAnswer: -330.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3*k**2. Let j(b) be the third derivative of -73*b**6\/180 - 2*b**3 - 48*b**2. Let r(n) be the first derivative of j(n). Give w(r(z)).\nAnswer: -63948*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12108151 and 11007410.\nAnswer: 121081510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -7*d**3 + 9*d + 3. Let r(m) = m**3 - m - 1. Determine -3*r(s) - x(s).\nAnswer: 4*s**3 - 6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 86 = 4*s, 7*i - 2*i = 3*s + 82. Suppose -3*z - 12 = -2*m, z + 1 = -5*m + i. Sort -3, m, 0 in descending order.\nAnswer: m, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 950 and 61089550?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a hour in minutes?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 479 is divided by 60.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**3 + 3*d**4 + 1 + d**4 + 9*d**4 - 2*d**4 - d in the form l*d**4 + m*d**3 + j + n*d + b*d**2 and give l.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -120, 3\/2, -689?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*k - 156 = 0. Suppose 4*q - 57 = -3*b, q - 5*b + k = 3*q. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5080304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/16)\/((-354)\/472).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (28\/105*-3)\/((-2)\/45). What is the first derivative of 3421*d - g - 3421*d - 33*d**4 wrt d?\nAnswer: -132*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*f + 1397, -f + 3*f = 2*s + 1402. Suppose 3*j - f = -5*j. Let y be 2\/12 - j\/(-18). What is the greatest common divisor of y and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1754\/17 or -102?\nAnswer: -102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 + 2 + (0 - -32)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/95418 and 77\/47709?\nAnswer: 95418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -3*l**3 - 14979*l**2 - 20164560*l - 3587483328 = 0?\nAnswer: -2392, -209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + 32*b + 65. Let i be q(15). Let p = 1087 - i. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -2*u + 6*x + 21, -3*u - 4*x = 19 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2405 and 370?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.706 rounded to one decimal place?\nAnswer: 15.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/14 and -67\/94.\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32\/9 - 133\/45. Let u = 16 + -16.69. Let v = u + 0.76. Which is the third smallest value? (a) -0.5 (b) 0.3 (c) v (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-3\/17)*p*p**8*p**(-1\/3)*p*p*p**10 assuming p is positive.\nAnswer: p**(1045\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j + 16. Let c be v(11). Let n = c + -29. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(1\/3))\/u)**(4\/17)\/((u**(-2\/3)*u)\/u*u*(u\/(u**(-2\/5)*u*u))\/u))\/(u**(-3)*u\/(u**(-3\/5)*u*u)*u**(1\/3)\/u**(1\/8)) assuming u is positive.\nAnswer: u**(1787\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, 2, 0, -2 in descending order.\nAnswer: 2, 0, -2, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 v when two letters picked without replacement from yyykttytyyyvyttgktty?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4 = -4*x, 2*x - 9 = -x. Let m = z - -4. Is m bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + 20 + (-112 - (-26 + 14)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 56930 at least 56931?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1987188 and 3468.\nAnswer: 574297332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 1177 = 17*v. What are the prime factors of v?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -301 + 300.929. Let r = -1.071 - y. Let b = -3 - -1. Sort 1, r, b in decreasing order.\nAnswer: 1, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15441383 is divided by 214.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -359 greater than -102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -82842.497 rounded to the nearest one hundred?\nAnswer: -82800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l = 12*l - 3. Let z be (51*l\/5)\/((-14)\/(-70)). Calculate the highest common factor of 119 and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.509217l?\nAnswer: 509.217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 998841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 491 divide 1272672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -5*p**2 - 106*p - 161. Determine x(-19).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 4042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 14*f**2. Let w(h) be the first derivative of -h**2\/2 - 2. Give w(y(s)).\nAnswer: -14*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((6\/(-10))\/(-3)). Suppose -r*k = -4*k. Find the third derivative of k*n**6 + n**2 + n**6 + 2*n**2 wrt n.\nAnswer: 120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 - 4*q - 4. Let l(t) be the second derivative of t**4\/4 - 2*t**3\/3 - 5*t**2\/2 - 108*t. Let c(y) = 5*l(y) - 6*x(y). Determine c(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5987 + 5987.01. What is the second smallest value in -13\/3, -1, -5, p, 0?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - -19) + (-2 - (-6 - -4) - 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -572*p + 583*p = 1830191. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, j: 1, a: 1}. Give prob of picking 1 l and 1 a.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**3 - 6*d**2 + 21*d - 17. Determine b(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llplp. What is prob of sequence pll?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2082931374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 1, -12740, 3, 45 in ascending order.\nAnswer: -12740, -4, 1, 3, 4, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000583123 rounded to five decimal places?\nAnswer: 0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-1)*22\/(-55)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-15) - (-4)\/10. Which is the second smallest value? (a) 2\/3 (b) u (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 12:41 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 10:35 AM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 71\/5 of a litre?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*d - 2*d - 129 + 131)*(9*d + 0*d - d).\nAnswer: -96*d**2 + 16*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -3*b + 3*q, -5*b - 4*q + 15 = -72. Suppose 0 = -4*j + j + b. Solve 5 - 34 = j*m - f, 0 = -2*m - 4*f + 6 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/(-10)*20*-1)\/((-33226)\/16613)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + 0\/(-1) - (-234 - 39) a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1584) + -5 + sqrt(1584) + 2) - ((5*(sqrt(1584) + 1 + sqrt(1584)) - sqrt(1584)) + -5))**2.\nAnswer: 288*sqrt(11) + 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*x - 5 = -0*b, 0 = 4*b - 4*x - 44. Calculate the highest common factor of 6 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/5 + 339214*j**2\/5 - 14386489216*j\/5 + 273220852568\/5.\nAnswer: -2*(j - 84794)**2*(j - 19)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 150.0356 micrograms in nanograms?\nAnswer: 150035.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 532 and 252.\nAnswer: 4788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20\/(-9) - -2 - (-34 + (-19552)\/(-576)). Which is the third biggest value? (a) -7\/24 (b) x (c) 3\/7 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.75 and 0.745.\nAnswer: 0.55875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**4 + 22*x**3\/3 - 8*x**2 + 8*x\/3 = 0.\nAnswer: 0, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3 = -3*t, 2*t = -4*x - 4 - 0. Suppose -3*g - g - 28 = -5*w, -2*g - 4 = t. Solve 0 = -4*d + 8 - w for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1016 divide 49248971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1744*s - 198*s - 23190 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 7:17 AM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*c + 60 + 447 = 0 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 4*u**3 - 4284*u**2 + 1077756*u + 37646524 = 0.\nAnswer: -31, 551","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rlloot. What is prob of picking 1 l and 2 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (14 - -22) + -38 - (-11 - 63)\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2264 + 5240. Suppose -729 = -2*s + s - 4*j, -4*s - 4*j = -k. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 2*n - 2542, s = 2*s + n - 637. Suppose q + s = 4*a + a, -2*a + 5*q = -249. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -143659\/4 + 35915. Put 2, 1\/12, s, 8, 41 in decreasing order.\nAnswer: 41, 8, 2, s, 1\/12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2952\/144)\/(57\/(-30)) - -11?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 + -18.9. Let l = -0.9 - t. Which is the closest to 2? (a) l (b) 0.5 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000001 - 100111100011?\nAnswer: -101100100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + u = 0. Suppose m - 38 = -u*m. What is the remainder when m is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 347 (base 10) to base 7.\nAnswer: 1004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -1498*v + 53. Let j be (-1)\/((2 + 1)*(-2)\/(-6)). List the prime factors of w(j).\nAnswer: 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7\/283 + -17885\/2264. What is the common denominator of -39\/22 and i?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134\/(-10385) + (-14417)\/(-155)?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5\/349, -0.5, -3, -0.13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.5 (b) 1 (c) 0.4 (d) -4.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/3? (a) -51 (b) -2\/3 (c) 0.11 (d) -2\/15 (e) -99\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1962962095?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 4*v**2\/7 - 71276*v\/7 + 1637232\/7 = 0.\nAnswer: 23, 17796","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 1703?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - k**2 + 152*k + 298. Calculate w(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 1:49 PM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((1*((sqrt(99) + -5 + sqrt(99) + -1 - sqrt(99)) + (1*sqrt(99) + sqrt(99) + -5 - sqrt(99))) + -4)**2 + 2).\nAnswer: -623 + 180*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 12:49 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*k - 2*k**3 + 3*k**3 - 12*k.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -69*u + 25. What are the prime factors of d(-13)?\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 4*u**4 + 412*u**3 - 6048*u**2 - 1743616*u - 45660160 = 0.\nAnswer: -56, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/(-324)*144\/(-32))\/(3\/78)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -167\/6*z**6 - z - 289 + 0*z**3 - 130*z**2 + 0*z**4 + 0*z**5. Find the second derivative of d(b) wrt b.\nAnswer: -3340*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -31*g + 135*g - 86 + 59*g. Is o(3) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 424136277.\nAnswer: 3, 15708751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/1416 and -73\/54988.\nAnswer: 329928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -1\/3 (c) -0.13 (d) -363 (e) 5 (f) -3 (g) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -586676 - -0.3?\nAnswer: -586675.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -31*a**3 + 60*a**2 + 5*a + 5. Let m(y) = -94*y**3 + 178*y**2 + 14*y + 14. Let t(c) = -5*m(c) + 14*x(c). Find the third derivative of t(k) wrt k.\nAnswer: 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -32. Let n be 6568\/32 + 3 + 1\/(-4). What is the highest common factor of p and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -o**8\/336 + o**6\/120 + 2*o**3\/3 + 7*o. Let z(u) be the second derivative of r(u). Find the third derivative of z(p) wrt p.\nAnswer: -120*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -5. Suppose -98 = -4*a - v, 0 = c*a - 3*v - 32 - 24. Let h = a + -13. What is the remainder when 47 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -19*a + 6. Let x be v(-3). Suppose x - 327 = -2*r. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 4*f = -8*f - 2, f - 5 = 6*f for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6.8 times 423\nAnswer: 2876.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a millennium?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5400411, 21601649, 48603709, 86406591, 135010295, 194414821?\n\"Answer: 5400411*s**2 + 5*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 2:07 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s - 8. Let b(z) = z**3 - 5*z**2 + 5*z - 2. Let d be b(3). Let a(n) = -5*n + 12. Let h(q) = d*a(q) - 8*v(q). Let g(k) = k. Determine -3*g(w) + h(w).\nAnswer: -2*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 910286581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + 19*i + 36. Let v be d(-17). Let w(z) = 16*z**2 - 2*z + 2. Let b(s) = 81*s**2 - 11*s + 11. Calculate v*b(n) - 11*w(n).\nAnswer: -14*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -307 - 20 + 372 + 70*h - 68*h.\nAnswer: 2*h + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -1\/60*d**5 - 1\/2*d**4 + 0*d - d**2 + 0 - 4\/3*d**3. Is n(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -287 + -4?\nAnswer: -28b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen quarters of a century?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/77*(-7)\/(-5))\/((-5)\/(-140)*-7)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 71*j**3 + 10297*j**2 + 288*j - 282. What is n(-145)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**2 + 15 - 17 + w**3 - 4*w + 5 in the form g + p*w + c*w**2 + l*w**3 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/6*(-33)\/(-176). Suppose 9*j - 16 = 20. Which is the smallest value? (a) -2\/5 (b) s (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 731?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f\/(f*f\/(f*f\/f**(-21)*f)*f)*f*f))\/f)\/(f\/(f\/(f\/(f\/f**(-1\/7))))))**3 assuming f is positive.\nAnswer: f**(-501\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1027473.\nAnswer: 3, 101, 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -1\/30*f**4 + 0 - 2\/15*f**3 + 5*f**2 - 1\/300*f**5 + 0*f. Suppose d(g) = 0. What is g?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4529 - 4524. Let h = 0.05 + -0.35. Let t = -2.3 - h. Which is the nearest to -1\/4? (a) t (b) 1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 1)*(-2*p + 3 - 3) + (-8 + 10 + 16)*(-2*p + 0*p + p) in the form m + w*p and give w.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 1)*(-9 - -8). Suppose -2*g = -j*y - 3*y + 406, 0 = -4*y + 4*g + 544. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -731, -2867, -6423, -11399?\n\"Answer: -710*s**2 - 6*s - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 149691406 + 1357*k - 149691406 to y*k + d and give y.\nAnswer: 1357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 12*k - 5. Give o(-5).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -92948.73 to the nearest one hundred.\nAnswer: -92900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 59*q**2 + 113*q + 62. Let k be i(57). Put k, -36, -55 in decreasing order.\nAnswer: k, -36, -55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.28 - -2.48. Let d = x + -4.2. Which is the nearest to d? (a) 2 (b) -2\/3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 542 is divided by 453?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 23*s**2 - 5*s - 35. Let i be f(3). Solve 155*u = i*u - 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + -1)*(5 - 3). Let u be 77\/1*(-1 - k). Let x = 110 + u. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*t + 41*t - 4647 + 4059 = -19*t for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29577117413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2469\/7 + 353. Let o = -7 + 7.1. Which is the nearest to o? (a) g (b) 0.1 (c) -4\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2234866.5 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + w - 8 = -0*t, 16 = 2*t - 5*w. Suppose 5*c + t = -3*o, -3*c = -4*o - 7*c - 8. Let d be -4*o\/14 - 74\/161. Which is smaller: 0 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28408.05178 minus 6?\nAnswer: -28414.05178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of c**5\/12 + c**4\/6 - c**3\/6 + 25*c**2. Let s be q(1). What is the tens digit of (-257)\/(-4) + s\/(-32)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - p = 8 - 18, -z = -2*p - 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*s**3 - 386988*s - 4357135.\nAnswer: 15*s**2 - 386988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/8*-4)\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 190883 + -99175. List the prime factors of y.\nAnswer: 2, 101, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -8*w**3 - 31*w**2 + 2*w + 1. Determine f(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3\/2 (b) 0.3 (c) 1178515 (d) 2 (e) 0.2 (f) 0.44\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of 9*t**4\/4 - 25*t**2\/2 - 5. What is the second derivative of z(p) wrt p?\nAnswer: 54*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of k**4\/12 + 2*k**3 + 8*k**2 - 2*k. Let d be h(-11). Factor b**4 + b**3 + 1\/3*b**d + 0*b + 1\/3*b**2 + 0.\nAnswer: b**2*(b + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 720? (a) 0 (b) -1\/10 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 41\/3. Sort s, 3, -0.2 in decreasing order.\nAnswer: 3, s, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6436, -12549, -18662, -24775?\nAnswer: -30888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 0.9. Let d(p) = -5*p**3 - p**2 + 10*p - 8. Let x be d(2). Is g < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-2\/9))**(-2))**(-1\/36)*(f**2)**(-28)\/((f*f**(-3))\/f**6) assuming f is positive.\nAnswer: f**(-7769\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16571 is divided by 8237?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 4*d**2. Let r be x(-4). Let g be (-2)\/(-11) - (r + 13\/11). Let i be 12\/3 + 4 + g + -3. Solve -y + 2*p = 3 - 2, -i*p = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2882876?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 4*v + v + 15, 4*f - 2*v - 6 = 0. Suppose -4*h = f, 5*u + 0*h = -2*h + 15. Is (u + -1)\/(-1) - -319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**3 - 1548 - 519*f + 1259*f - 105*f**2 + 912*f = 0. What is f?\nAnswer: 1, 18, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -7*k**2 - k + 2. Calculate i(2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-3 + (3 - 3) - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**4 - 27*v**3 - 72*v**2 - 48*v = 0. What is v?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j**2 + 2*j - 1. Suppose 4*r - 16 = -4*s - 4, 3*s - r = 9. Does 15 divide z(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1877 + 1873. Let h(v) = -v**2 - 3*v - 8. Determine h(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*k**3 - 83*k**2 - 2*k + 20*k**3 - 2*k**3 + 0*k**2 + 0*k**2 - k**3 + (2*k**2 + k - k)*(3*k + k - 2*k))*(-2 - 2 + 1).\nAnswer: -6*k**3 + 249*k**2 + 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 98289 or 98329?\nAnswer: 98329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 15*m**4 - 11*m**3 - 38*m**2 + 17*m + 17. Let w(d) = 31*d**4 - 21*d**3 - 78*d**2 + 35*d + 33. Let t(k) = 7*i(k) - 3*w(k). Find a such that t(a) = 0.\nAnswer: -1, -5\/6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -609496 - 4?\nAnswer: -609500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 9 + 2)*(0*k - k - 4*k) in the form s*k + y and give s.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.96 + -0.36. Let m = j - 5.94. Let h = -0.66 + m. Which is the second biggest value? (a) 1 (b) h (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 311474117 and 0.46.\nAnswer: 311474117.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 1:22 AM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 9, 1 in decreasing order.\nAnswer: 9, 1, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 163732267 to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1706683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(11) + sqrt(11) + 3 + sqrt(11)*-1 + 4 + sqrt(44))**2.\nAnswer: 56*sqrt(11) + 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 826630 is divided by 6033.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 6*x**2 + 5*x - 2. Let y be r(3). Let t = y + 65. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.249741 plus 54?\nAnswer: 53.750259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 518.002 decades in centuries?\nAnswer: 51.8002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 7*q - 30. Let w(p) = -5 + p**3 - 3*p**2 + 2*p + 2*p + p**3 + 2. Calculate the remainder when q is divided by w(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 158 - 154. Put -0.5, k, -0.042, -1\/3 in increasing order.\nAnswer: -0.5, -1\/3, -0.042, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15464?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3*k. Let o(b) = -2*b. Let v(y) = y. Let x(d) = -3*o(d) - 5*v(d). What is x(i(z))?\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.5 and -1362999803968.\nAnswer: -1362999803970.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/(-12)*((-56)\/(-2))\/(((-1050)\/(-7))\/(-15)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/((sqrt(24) - (sqrt(24) - sqrt(72)\/sqrt(3)))\/sqrt(8)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/(-6))\/(10\/(-15)). Let d be (-1 + -1)*f*1. Suppose -d*p - 18 + 804 = 2*r, -3*r = 2*p - 1175. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/25, 833, -366 in descending order.\nAnswer: 833, -3\/25, -366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 155 divided by 1216299\nAnswer: 155\/1216299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + q + 21, -2*z - 2*q = q + 21. Let v be 16\/(-33) + (-4)\/z. Let m = -2.4 + 2.3. What is the third biggest value in v, 0.2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 9:43 AM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - p - 186000. Round p to the nearest 10000.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10932 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 10. Which is the nearest to i? (a) 2\/19 (b) 3\/4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7562287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.99 + -8. Let w = q + 0.01000035. Round w to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dttdt. What is prob of picking 1 d and 2 t?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 + -4.3. Let s = -5 - l. Let r = 0.3 + -0.7. Which is the closest to s? (a) 3 (b) r (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 130 and 52?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 99 - 95. Solve -5*f = 5*w + 40, 0*w - 2*w + 2 = -p*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 943 is divided by ((-259)\/(-2331))\/(1\/711).\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of n**6\/300 + n**5\/30 + 2*n**4\/15 + 4*n**3\/15 + 108*n**2. Factor x(w).\nAnswer: 2*(w + 1)*(w + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -o - 104. Does 4 divide 132\/10*130\/o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 842 a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j + 9. What is the remainder when 47 is divided by q(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15387 and 3979?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-45552)\/2044 + (21 - 1)\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1329\/2 in 2, -6, -0.01, 16\/5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -5*b**2 + 192899205*b + 578697660 = 0?\nAnswer: -3, 38579844","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 + (4 - 5 - 2). Suppose -l*y = -3*q - 90, y = -5*q - 0*q - 137. Let t = -26 - q. Solve -4 = 3*x + t*n, 0 + 4 = x + 2*n for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 68 (b) 0 (c) -0.4 (d) -33\/5 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/6)\/((-2)\/70*195\/52).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*n = -226 - 14 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*k - 21 = 4*z - 18*k, -z + 2*k = -3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3591450 and 900.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 8*f - 600000. Round f to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 19, -425 in descending order.\nAnswer: 19, 3, -425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 7:02 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12*30\/400)\/(1434\/5). Is p less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o**3 + 30*o + 0*o**2 - 44*o - o**2 + o**3 to the form i*o**2 + h*o + r*o**3 + l and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.9 + -10.9. Let i = 6.458 + w. Round i to 2 dps.\nAnswer: 0.46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/1 - (20 - (-3 + 494562)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 6) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one fifths of a centimeter?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1010)\/(-24) - 10\/1080*9. Solve 0 = -44*j + y*j - 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1800 a factor of 498845265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1377 and 553401.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 172488\/65 less than or equal to 2655?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 457 - 455. Suppose 0*d + 493 = 5*i - d, -5*i + 491 = -k*d. Is i a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 231*c - 2768. Let l be h(12). Solve -l = 4*n + 4*i, -7*i = -5*n + 10*n - 3 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1705, 1707, 1709?\n\"Answer: 2*n + 1703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/9975084 and 125\/144638718.\nAnswer: 289277436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v. Let z(m) = 1122*m - 4. Give a(z(g)).\nAnswer: 2244*g - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 - 2*q**2 - 3*q**2)*(-4*q**3 + q**3 + 4*q**3) + 2230*q**4 - 2230*q**4 - 6*q - 31*q**5.\nAnswer: -35*q**5 - 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-0.079.\nAnswer: -0.0316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 296 or 299?\nAnswer: 299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10.982 - 11. Let d = -0.02691 - c. What is d rounded to four dps?\nAnswer: -0.0089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**2 + 232*s + 456 = 0. What is s?\nAnswer: -114, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 4*w = 31, -6*t + 4*w = -t + 43 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2286255.01 to the nearest one hundred thousand.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27376 divided by -5.\nAnswer: -27376\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*w - 12*w - 8*w + 22*h - 292 = -28*h, 0 = 5*w - 3*h + 28 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 6336.\nAnswer: 44352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from klwlrbbr. What is prob of sequence rb?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -4. Suppose -3*x + 44 = -2*x. Calculate the highest common divisor of m and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 246? (a) -0.3 (b) -5 (c) 637\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -22541.94 * 17\nAnswer: -383212.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 20 - 82*k**2 - 6*k**3 - 71*k**2 + 5*k**3 + 167*k**2 - 14*k. Calculate m(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-7))\/(10\/(-35)). Let p be 0 - (-2 - f) - -1. Suppose -5*n = -25, -5*c + p*c = 4*n + 32. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110 (base 2) to base 4.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 10*q**3 + 3*q**3 - 16*q**3 + 2*q + q**2. Let i be h(-1). Solve -3*t - 5 = -i*s, -s + 5 = -5*t + 4*s for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t**2 - 25*t**2 + 17*t**2 + 18*t**2 + t**2.\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 761601 to the power of 1\/2, to the nearest integer?\nAnswer: 873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-15) - (16 + (-3332)\/210).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 2*v**2 - 640*v + 51200 = 0.\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102238 is divided by 80.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19421963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g\/g**(3\/7)))*g)**45\/(g*g\/(g*g**2))**18 assuming g is positive.\nAnswer: g**(621\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 234.4 - 221. Let i = -25.6 + k. Is -0.1 not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: 564 (base 7) to base 12\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -989.2 + 991. What is the second smallest value in -1, -4, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -244531 (base 9) to base 5\nAnswer: -14211231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 15 = 0, 3*b + 2 = -3*a + 5. Suppose 7*x + 2*u - 266 = 2*x, -b*x + 5*u = -193. Does 26 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/(h*h\/h**4))\/(h\/(h**(-4\/9)\/h)))\/(h**(1\/5)\/h**6))**(-1\/16))**(1\/5) assuming h is positive.\nAnswer: h**(-143\/1800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*o**2 - 57*o**3 + 17*o**2.\nAnswer: -57*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.02354236 - 1.14066094. Let p = 0.0659177 - b. Let i = p + -1.23. Round i to 5 dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of 1\/120*s**6 + 9\/8*s**2 - 1\/24*s**4 - 14*s + 1\/20*s**5 + 0 - 1\/2*s**3. Factor m(v).\nAnswer: (v - 1)**2*(v + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g + 5*z + 381 = 388, -2*z + 14 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o*o**(-2\/7)))\/o**(-2\/7)*o*o**(5\/4)*o*o**(-3))**(-30) assuming o is positive.\nAnswer: o**(-765\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*i**3*q**2 + 96*i**3*q - i**2*q**2 - 45*i*q - 3*q**2 wrt i?\nAnswer: -42*q**2 + 576*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 18 + (-3 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 3 = 7*y, -5*y = 14559*p - 14563*p for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.56 + 4.06. What is the biggest value in 6.4, m, 1, 3\/2?\nAnswer: 6.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4276265561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 192 divided by 96\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-400)\/(-414) + -50 + 49. Is 1 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19161 - 23465. Let f = -42620.00064 - n. Let j = -6 + f. Round j to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -7*l + 9*l - 4*l + 2. Calculate the least common multiple of 19 and v(-4).\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -1256*m. Let r(q) = -6*q**2. What is r(k(x))?\nAnswer: -9465216*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (1 + (-5 - -3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2\/4 - 2313*q - 1783323.\nAnswer: -3*(q + 1542)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -2*b + 50440, 2*b = 9*u - 12*u + 50435. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 f when two letters picked without replacement from zjzrzzzzrrjf.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 3. Suppose 222 - 144 = 26*p. Let o be (5 + n + 1)*4\/p. Let f(k) = 2*k - 3. Determine f(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/3 (b) -3 (c) -27 (d) -8\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**3 + 11*i**2 - 26*i. Let t(o) = o**3 - 7*o + 4*o**2 - 3*o - 3*o + 4*o. Let p(n) = 4*m(n) - 11*t(n). Find the second derivative of p(f) wrt f.\nAnswer: -18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19487 - -19507. Solve s = 5*z - p, -s - 15 = 10*z - 14*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (8 + (-1 - -2) - 6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 less than -300917066?\nAnswer: -300917013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 2634588642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 43252?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - b + 272. Suppose 5*k = -5*l + 20, -3*k = -k - 4*l - 26. Suppose -3*i + k*i - b = 0. What are the prime factors of i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 2, 3188, 56 in descending order.\nAnswer: 3188, 56, 2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -29478, 5, -5, 1, -22, 3 in ascending order.\nAnswer: -29478, -22, -5, 0.5, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 224 and 448.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 470651\/27 and 17432 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*t - 4*g + 93 = 0, 0 = 5*g - 15. Let y = t + 28. Let o(i) = -5*i - 1. Calculate o(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1439104 by -179888.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 340 + (1 - (-3 + 4))*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1212?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - h**2 - h. Let a = -1 + 2. Let t(v) = 3*v**3 - 2*v**2 - 3*v - 2. Let f(l) = a*t(l) + 2*y(l). Determine f(4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11237)\/663 - 24\/468.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 73, 268, 463, 658, 853?\n\"Answer: 195*r - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + r - 1. Let j(d) = d**2 - 6*d - 10. Let q = 16 + -9. Let b be j(q). What is the units digit of n(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3581 * -3.\nAnswer: -10743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -760*l - 321*l - 2796 = -149*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 + 24660*f - 49340.\nAnswer: 5*(f - 2)*(f + 4934)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/11 - (-5240)\/22. Let f be l\/42 - (-2)\/(-3). Suppose -f*o + 7 = 2*q - 0, 3*o + 3*q = -3. Solve -o = u + 2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 0*t + 2 = 4*c, 0 = 5*c - 2*t - 16 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 24*d**2 + 424*d - 147. Determine j(-18).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*b = -13*b + 52*b - 1020. Solve 2*n - 7 = -3*x, 4*x = x + b for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139803102 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*d**2 - 12898*d + 269227?\nAnswer: -4*d - 12898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13311101 (base 5) in base 8?\nAnswer: 407757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 - 13. Factor -o**3 - 9*o - o + 1 + 7 - 2*o + j*o**2.\nAnswer: -(o - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*n - 29*n = 20*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 569253.5 milligrams in grams?\nAnswer: 569.2535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, l: 3}. Give prob of sequence llx.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/27 in 0, 2, 66\/23, -36?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4*w = -51, -2*w + 6 = 2*l + 3*w. Let x = l + 12. Is (x - -2)\/(2\/4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**(-11\/2)*l**(-1\/11)*l*l\/l**(3\/5)*l**(-2) assuming l is positive.\nAnswer: l**(639\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 9, -0.5, 77, 7, 14?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Express 969*z + 238*z + 2327*z - 218*z + 1108*z as s*z + w and give s.\nAnswer: 4424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l - 8*l - 10*l + 9. Is o(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1724 = -16*w + 10636. List the prime factors of w.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*n = 6*k - 38, -5*n - 2 = 3*k. Suppose 1 - k = -j. Suppose 0 = 3*z + j*y + 8610020, z + 1289933 = -3*y - 1580079. Round z to the nearest 100000.\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j**0\/j)*j**(-4) assuming j is positive.\nAnswer: j**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256*m - 17*m + 46*m = 1425. Solve -2*a = -5*c + 17, 0 = -5*c - m*a - 113 + 123 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dvdvddi. What is prob of sequence dvv?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35525 is divided by 2081?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 343200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 265 and 10633867.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-13) - (2 + -2). Let j = 0.0741 - -0.2729. Let g = -0.047 + j. Which is the nearest to 2? (a) -3 (b) g (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -140040 (base 6) to base 4\nAnswer: -3022320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 4*j + 6. Suppose -2*u + m = -14, u + 5*m + 10 = -5. Suppose 5*s = -10 + u. Let q be x(s). Solve 2*i - q = 4*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -1.94?\nAnswer: 0.776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 + 945\/60)*5\/7.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 + 27. What is the tens digit of -122*3\/(-2*f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 6*z + 3. Let p be x(4). Suppose g = 3*t - p, 0 = -0*g + 5*g - 15. Does 5 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -5, 6.2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.5 or -14046?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*y, -y + 17 - 206 = -4*p. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of 49*x**7\/15 + 147*x**6\/25 + 7*x**5\/5 - 6*x**4\/5 - 8*x**3\/15 - 10*x. Suppose f(b) = 0. What is b?\nAnswer: -1, -2\/7, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6 and -252?\nAnswer: -151.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 120*o**2 + 1 + 116*o**2 + 2*o - 233*o**2. Let b(m) = -m**2 - m. Give -b(f) - x(f).\nAnswer: -2*f**2 - f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1352 - -1352.000001159. Round b to seven decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207719177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (711\/474)\/(3\/(-34))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j**2 - j + 1. Let i(g) = -488*g**2 - 6*g - 614. Let d(h) = i(h) - 6*u(h). Find the first derivative of d(b) wrt b.\nAnswer: -1012*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddvvvkvd. Give prob of picking 2 d and 2 v.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10 (b) 1864 (c) -2\/65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 18. What is the common denominator of ((-262)\/(-14))\/((-6)\/7) and (-122)\/(-56) - x\/(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22912 and -0.15?\nAnswer: -3436.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 6*p - 4. Let f be x(-4). Suppose -12*v = -496 - 1112. Suppose -4*b = 4*t - 132, f*b - 4*t - v = 22. Is b a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2183069 + 2183069.1369843. Let s = d + -0.137. What is s rounded to 6 decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -13. Suppose q = -7*r + 166 - 54. What is a in 13*a**3 - r*a + 65*a**2 + 12*a**3 - 14*a = 0?\nAnswer: -3, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (16\/6)\/((-14)\/(-21)). Let n = j - 2. Let r be 6\/n - -64996 - -1. Round r to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 - -31. Let p(c) = 227*c**2 - 4*c - 1. Let l be p(v). Suppose h = 4*i - 234, -4*i + 2*h = -h - l. List the prime factors of i.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 19, 1\/2?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2621 is divided by 867.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.3630984ms to hours.\nAnswer: 0.000000934194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -43*x**4\/6 - 249*x**3\/2 + 31*x**2 - 3. What is the derivative of u(a) wrt a?\nAnswer: -172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 880629 at most -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 less than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000954529 rounded to seven dps?\nAnswer: -0.0000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2032131322 (base 4) to base 5.\nAnswer: -122133141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, -65, -318, -825, -1670, -2937, -4710?\nAnswer: -7073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*(k**(1\/2)*k)\/k*k*k)\/k)\/k)**(1\/16)*(k\/k**2)**(31\/4)*((k\/(k\/(k*k**(-3)\/k*k)))\/k**(1\/2))**16 assuming k is positive.\nAnswer: k**(-1525\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -740, -742, -746, -752, -760?\nAnswer: -770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g - 4. Let a be m(4). Solve -2*j**3 - 5*j - j + a*j = 0 for j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*p - 2*r, 0*r = -4*p - r + 19. Suppose 3*y + 3 = -4*s, 5*s = -y - 2*y. Suppose 4*q - 7 = -0*a + a, 0 = -a - s*q + 21. Solve w + a = p*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000235103645 to seven decimal places.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**3 - w**2 + 4. Let k(a) = a**2 - a + 2. Let z(p) = 4*p**3 - 3*p**2 + 2*p + 5. Let u(l) = 2*k(l) + z(l). What is 9*q(m) - 4*u(m)?\nAnswer: 2*m**3 - 5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {g: 2, u: 5, n: 10, w: 3}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28996 is divided by 162?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 9867384.\nAnswer: 9867384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43 + -41. Let y(i) = 5 + i**k + 4*i - 2 + 3*i. What is y(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 16 (b) -4 (c) -3 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f. Suppose s = -2*s. Let a be i(s). Let u = 5 + a. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - 22*j - 19. What are the prime factors of d(-14)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y - 3*y + 0*y - 6734*y**2 + 2805*y**2 + 3062*y**2.\nAnswer: -867*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -6*d + 65. Suppose -19*p = -d*p. Suppose -9*m + 286 + 191 = p. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u**3 + 1 - 1 + (-4 + 4 - 2*u**2)*(-3*u + u + u))*(-1 - 3 + 3) to c*u + n + d*u**2 + t*u**3 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*w = 96155 + 13019. Suppose 24*g = 3697 + w. Does 6 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 23 (b) -74845 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(3 - 3 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3785 + 5615. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 d when two letters picked without replacement from {z: 7, l: 2, d: 1}.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 150.73 - -3.27. Let k = z - 153.9. Let t = -0.07 - 1.93. What is the nearest to 0.3 in t, k, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31241 (base 5) to base 2.\nAnswer: -100000010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 239830 divided by -239830.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, a: 4, t: 4, k: 5}. Give prob of picking 3 t.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 44887*p**3 + 1 + 44888*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-360 + 503)\/(49\/24 + -2). What is the highest common factor of 144 and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 22473, 8522, -5429, -19380, -33331?\n\"Answer: -13951*k + 36424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18042 is divided by 2241?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 78294690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17774 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2*sqrt(5) - (sqrt(125) + sqrt(5))*1)**2.\nAnswer: -16*sqrt(5) + 321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 76 and 8 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -116?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -84 + 131. Suppose -2*v + o = 7. Calculate the smallest common multiple of 12 and v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2*f - 60 = 0, -8 = -3*p + f - 48. Let t(o) = -156516*o - 224. Let j be t(p). What is j rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 571933.1089 - 571386.10891435. Let i = b + -547. Round i to seven decimal places.\nAnswer: -0.0000144","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 415286 is divided by 3645?\nAnswer: 3401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -3. Let m = x - -3. Suppose -m*a + 0 = -6. Calculate the remainder when a is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -33543818 to the nearest ten thousand.\nAnswer: -33540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 23 = -4*d, 5*m + 13*d - 16*d - 47 = 0. Suppose 61 = m*s + 47. Solve -s*l + 3*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 16149 divided by 9\nAnswer: 5383\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 59884 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 3*s + 105, 4*s - 3*s = -5. Let u be (-36)\/x*(-5)\/(-2). Suppose -8*h - 4*b + 70 = -3*h, -u*h = -5*b - 42. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -8. Let h(d) = -3*d**2 - 17*d + 2. Let a(q) = -7*q**2 - 30*q + 6. Let m(s) = 3*a(s) - 5*h(s). Let r(v) = -5*v**2 - 4*v + 8. Give l*m(o) - 5*r(o).\nAnswer: o**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 4*k + 20, 4*a - 15 = 8*a + 3*k for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*b + 48*b - 40*b - 2 + 2.\nAnswer: -60*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 1\/52, -2, -16, -12 in ascending order.\nAnswer: -16, -12, -2, -0.5, 1\/52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 241*o + 2 + 188*o + 285*o in the form i*o + v and give i.\nAnswer: 714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -1\/2448600?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -2265.\nAnswer: -2265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 359*n*s**5 - 37*n*s**4 - 3*n*s**2 - 713*n - 3*s wrt s.\nAnswer: 21540*n*s**2 - 888*n*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 566 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 63*g - 686. Give r(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2311.\nAnswer: 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence my when two letters picked without replacement from {c: 1, y: 12, m: 1, n: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 598, 4781, 16092, 38119, 74450, 128673, 204376, 305147?\n\"Answer: 598*n**3 - 24*n**2 + 69*n - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 14, 29, 54, 89, 134, 189, 254?\n\"Answer: 5*n**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 304 and 46444192?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away -16028?\nAnswer: 16027.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150 = -4*l - 10*o + 74, -5*l - 44 = 4*o for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 0.6, 1\/10, -7\/66, -1 in descending order.\nAnswer: 0.6, 2\/11, 1\/10, -7\/66, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r + 103 - 103.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 2*u - 53, -12*s + 16*s - 3*u - 47 = 0. Suppose -5*n + 27 = y, y - 2*n = 6*y - 43. Calculate the smallest common multiple of s and y.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*u + 3*u + 3*u)*(u - 2*u + 0*u) + 13*u - 13*u - u**2)*(-5 + 2*u + 5).\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 7698*u**2 + 9478*u - 12. Let n(s) = -s**2 - 4*s + 4. Let q(x) = i(x) + 3*n(x). Find the second derivative of q(k) wrt k.\nAnswer: 15390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(132)*-2*-5 - sqrt(132)) + sqrt(132))\/((-3*sqrt(72))\/sqrt(6)) + -4)*6)**2 + 2.\nAnswer: 960*sqrt(11) + 4978","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 675*v**4 + 9*v**3 + 55*v**2 - 216 wrt v?\nAnswer: 16200*v + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-24)\/300 - (-254233)\/(-525))*-3 is divided by 133.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g - 10. Let j be i(-8). Let u(w) = w + 3. Let a(v) = -4*v - 13. Let b(d) = j*a(d) + 26*u(d). Let c(x) = -4*x. Calculate b(c(y)).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3 + 16644*f**2 - 16637*f**2 + 2 + 1. Let s(u) = 38*u. Calculate m(s(t)).\nAnswer: 10108*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5 = 1. Suppose 2*k + w = 6. What is the first derivative of k*r - 2 - 2 + 1 wrt r?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.5 and 0.062?\nAnswer: -0.093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/2)\/((-50)\/5740*7)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 858613658?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*y - 122*y - 30 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -15. Suppose -o*q = 3*q - 10. Calculate the common denominator of -1 + 3\/3*q and -41\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 102 - -68. What are the prime factors of d?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 110*b + 7. Let n be i(-6). Let r = n - -1367\/2. What is the common denominator of r and 67\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 7\/(-21) - 31\/(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-127 + 127 - 124*j)*(-2 + 2 + 2).\nAnswer: -248*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 10, d: 8, r: 1}. What is prob of sequence rd?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(((a\/(a*a**18))\/a*a)\/a)))\/a**14*a**(-3)\/a*(a*a**(2\/9))\/a*a assuming a is positive.\nAnswer: a**(-322\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.42 times 23?\nAnswer: 32.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -3*p + 1. Let i be b(-1). Suppose -2*r + r = 4*f + 22, -4*r - 28 = i*f. Let a = -30 - -34. Is a greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(7)*1)*5.\nAnswer: 5 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6420, 12842, 19266, 25692?\nAnswer: 32120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of k - 90*k**4 - 10580 - k**2 + 10564 - 2*k wrt k.\nAnswer: -1080*k**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1473 at least as big as -1472?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 69*g + 26. Let o(a) = a**3 + 5*a**2 - a - 1. Let z be o(-5). Does 8 divide v(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 11475, 12055, 12635?\n\"Answer: 580*y + 10895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 1 = -2*a. Suppose 0 = -5*h - 2*g + 1, -5*h - a*g + 0 - 3 = 0. Suppose -h = -b + 13. Is b a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -4 + (55 - 32)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 16. Suppose -5*t + 4*g = 48, -25*g + 144 = -13*g. Put 1, t, m, -5 in descending order.\nAnswer: m, 1, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.474427096 to four dps.\nAnswer: 0.4744","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.166*10.\nAnswer: 1.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-14) + (188\/28 - 4). Suppose 0*d = 5*d + 4*g + 42, -2*g = -2*d - 6. Let r be 5\/((d - -3) + 4). Solve u + 4*z + t = r*z, 5*z = 20 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 232 + -227. Let z = -6 - -3. What is the smallest value in b, 2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 893 is divided by 153?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 3*l**2 + 6*l - 5. Let a be -1 + 12\/3 + 1. Let d be r(a). Suppose -d*j - 1 = 2. Which is bigger: -4 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 6*s - 72. Let i be w(14). What is the least common multiple of 412 and i - (-32)\/(-20)*(-5)\/2?\nAnswer: 1648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3810 and 20.62?\nAnswer: 3830.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4572456788?\nAnswer: 2, 61, 3023, 6199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3975\/2 != 1987?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 897955.2ml?\nAnswer: 897.9552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 3*q - 3)*((-5154 + 3096 - 5983)*(3 - 3 - 2) - 2 + 0 + 0 + (-3 + 3 + 2)*(1 + 2 - 1)) as z*q + s and give z.\nAnswer: 48252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 19747171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3345317?\nAnswer: 3345317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1220112 (base 3) to base 7\nAnswer: 4025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 121220 = d, 0 = -4*d - 5*l + l + 484832. Round d to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 73682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -440*c + 56. What is the units digit of u(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from twtuutwu. What is prob of sequence uww?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2*2*sqrt(18)\/sqrt(6).\nAnswer: -5 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 17 = -3. Suppose 6*b - d*b - 49 = 0. Let k = -27 + b. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/18 of a hour in seconds?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v**2 - 193*v. Let p(t) = t**2 + 64*t. What is 2*c(h) + 7*p(h)?\nAnswer: h**2 + 62*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44655339?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2 + 3 - 12*o**3)*(0*o - o - 6*o) to t*o**4 + i*o**2 + r + w*o + j*o**3 and give t.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of c**4\/3 - c**3\/2 + c**2 - c. Suppose -4*t - 2*a - 16 = -8*t, t = 5*a + 22. Does 6 divide f(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -1.8, 0.05, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, t: 2, d: 1, g: 3}. Give prob of sequence dg.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29814845.\nAnswer: 5, 83, 71843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 76205851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*g - 4*q + 86 = 152*g, 5*q + 4 = 4*g + 2*q - q for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6418, 12832, 19246, 25660, 32074, 38488?\nAnswer: 44902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95534562, 95534559, 95534554, 95534547, 95534538, 95534527, 95534514?\nAnswer: 95534499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -2*d**6\/7 + 8*d**5\/35 + d**4\/7 + 12. What is z in p(z) = 0?\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-43)\/(4 + 2 - 7). Suppose 2*i - h = 7*i - z, -3*h + 12 = 2*i. Let d(v) = -v**2 + 9*v + 13. Give d(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e982 - -d9?\nAnswer: -e8a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*i = -6, -34*v + 32*v + 8 = -2*i. Calculate the highest common divisor of v and 249.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -9 - (14 - 84\/7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i*i**(-7)\/i*i**(-2)*((i**(-2)\/i)\/i)**8*(i**0)**(-3\/11)\/(i*i*i**(3\/4)*i*i**(-4)) assuming i is positive.\nAnswer: i**(-159\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -211 (base 15) to base 5\nAnswer: -3331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 10:06 AM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/4 - 17*r**3\/4 - r**2\/4 + 17*r\/4.\nAnswer: r*(r - 17)*(r - 1)*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 3:21 PM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -23*b**2 - 39. Let r(j) = 11*j**2 + 19. Let p = 587 - 600. Let u(m) = p*r(m) - 6*k(m). Let d(x) = x. What is u(d(n))?\nAnswer: -5*n**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i + 1. Let b be r(1). Suppose 5*x = -2*k + 8, 0 = -5*x - 0*k + 4*k - 16. Suppose x = -b*l - l + 65. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of -1*(2 + 20*-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) -11 (b) -4 (c) -2 (d) -0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.8 in 3, 2\/19, 2, -1\/2, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1718 and 6665840?\nAnswer: 1718","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-3 - (-1 - (-6 - -2)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2*n + 9 = 0. Suppose -21 = -j + n. Let y(r) = -r**2 + 18*r - 26. Let t be y(16). Calculate the highest common divisor of t and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.99 - 1.78. Let u = w - -0.79. Let v = 73.3 + -73. What is the biggest value in -5, u, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53498?\nAnswer: 2, 23, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 575503141?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -20669 times 14127?\nAnswer: -291990963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 1908 = -10*l. Let x = l + 216. Determine w so that 6\/5*w + 8\/5*w**x - 4\/5*w**3 - 2\/5*w**5 - 8\/5*w**2 + 0 = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43074?\nAnswer: 2, 3, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -151 in decreasing order.\nAnswer: 1, -2, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 10686*d + 861*d + 9607*d + 4753*d in the form n + q*d and give q.\nAnswer: 25907","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -781*l = -775*l - 12. Let r(s) = -l + 16 - 7 - 6. Let n(j) = -4*j + 8. Let z(h) = h. Let o be z(1). Give o*n(b) - 8*r(b).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 2*x**2 - x + 1. Let n be k(3). Suppose n*w = 2*w + 75. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8.4? (a) 1\/7 (b) -4 (c) -2 (d) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17932 and 54488?\nAnswer: 244269704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1662*y + 1598*y + 684*y)*(-4 - 3 + 5 + (1 + 0 - 2)*(2 - 1 + 0)).\nAnswer: -11832*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/5, -2412702, 0.4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 300599833 to the nearest integer?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*l**2 + 459*l - 854*l + 394*l + 157)*(-11*l - 10*l + 2*l) as d*l**3 + x*l + i + q*l**2 and give q.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 450 and 4778.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.752 rounded to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 32\/5 of a microgram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 12 = 4*r, 3*d = 5*r - 8 + 1. Let k(q) = -8 - 8 - 3 - q + 20. Let t(n) = -2*n + 1. Calculate d*k(w) - t(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-24)\/(-9)*22\/(5148\/(-621))?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.139 and -128419.\nAnswer: 17850.241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -97*d + 2607. Calculate b(29).\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -84*l + 31. Let a(x) = 14*x**2. Give k(a(c)).\nAnswer: -1176*c**2 + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 61 = 19. Suppose -2*h - 3*h = i. Let f = h + 7. Put 4, 5, f in descending order.\nAnswer: 5, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/4*5*(-17)\/17*8\/24?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.490061 milliseconds to microseconds.\nAnswer: 9490.061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123721768?\nAnswer: 2, 19, 101, 8059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 184.9 rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*t + 4*t + 20. Determine n, given that t*n + 2*n + n**2 - 4 - 3*n = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 4*t + 78, 3*t + 2*a + 70 = -0*a. Let q(r) = 4*r**2 + 2*r - 35. Is q(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p + 6 = -11*p. Solve 0*a + 9 = p*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 396235261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 22*b**2 + 10*b**2 - 25*b**2. Let z(d) = 26*d. What is o(z(n))?\nAnswer: 4732*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2950537719 to the power of 1\/2, to the nearest integer?\nAnswer: 54319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 7995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 354*h**3*n**3 + 13*h**3*n**2 - 3*h**3*n - 8*h*n**2 - 22*n**6 wrt n.\nAnswer: 2124*h**3 - 2640*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 30*h**3 + 25*h - 25. Let i(y) be the third derivative of y**6\/120 + y**4\/24 - y**3\/6 - 5*y**2 - 2. What is -25*i(m) + n(m)?\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3)\/(r\/(r*r*r**(-13\/3))))\/(r**(5\/6)\/r*r**(7\/2)) assuming r is positive.\nAnswer: r**(-29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-1\/4)\/c)\/(c**(2\/7)*c))**(-3\/4)*(c**(2\/15)\/((c\/((c*(((c**(-6)\/c)\/c)\/c)\/c)\/c))\/c))**(-1\/20) assuming c is positive.\nAnswer: c**(13819\/8400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 39287846449 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44*4.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 30502, 121599, 273288, 485569, 758442, 1091907, 1485964?\n\"Answer: 30296*n**2 + 209*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5110 (base 8) to base 2\nAnswer: 101001001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 995317147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*y - 2*y - 2*y)*(0 + 1 + 1) + 0*y + 2*y - 4*y + (-257*y - 114*y + 51*y)*(29 + 56 - 36 + 115) in the form k + t*y and give t.\nAnswer: -52478","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4 = -5*o - 0*o, -3*f = 5*o - 8. Let s be (28\/(f - -6))\/2. Suppose -c + 5*x = -s, -c - 4*x + 27 = x. What are the prime factors of c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(9\/48) + 14\/(-2)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 28.67478l?\nAnswer: 28674.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1104.2781 - -1109.61. Let t = -2.88 + 8.14. Let o = t - d. What is o rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 748 is divided by 189.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n**3 + 5*n + 6. Let u = 22 - -14. Calculate the lowest common multiple of l(-2) and u.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 3) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10 - 283?\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/3)\/((-24)\/18)*-58. Let d = k - -34. Suppose 4*n - 263 = 2*r + r, 2*n - 99 = -d*r. Is n a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2359 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81, 111, 151, 201, 261, 331, 411?\nAnswer: 501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 664\/1655 - 2\/1655. Let q = -74 + 70.1. Let y = -4 - q. What is the smallest value in s, 1\/4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1194.1703 to 1 decimal place.\nAnswer: 1194.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/7086 and -45\/4724.\nAnswer: 14172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -33603548*r**2 + 15744351.\nAnswer: -67207096*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -810*v**3 - 5\/2*v**5 + 0*v + 0*v**2 + 0 - 90*v**4 = 0.\nAnswer: -18, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 - 4*r**2 + r**2)*(-3 - 4*r + 6*r - r) + 2*r**3 + 6*r**3 - 11*r**3.\nAnswer: -4*r**3 + 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zmzzmmnmmmznnn?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 163205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31514?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 1409*t**3 + 2*t**2 + 5*t - 5. Let a(p) = -p + 1. Let z(d) = 4*a(d) + b(d). Is z(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/((-12)\/18*63\/(-28)). Solve 9 = -m - 4*t, g*m - 4*t = -m - 11 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48 - -52. Suppose -l*f - 304 = -4*j, 3*j - 2*f - 3*f = 220. Does 14 divide (144\/(-60))\/((-6)\/j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -4\/7 (b) 5 (c) 4\/7 (d) 0.0137\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-3))\/((-76)\/(-114))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 26333885 * 0.5\nAnswer: 13166942.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 5*t**2. Let i(a) = 13*a**2. Give i(y(b)).\nAnswer: 325*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96856889 is divided by 93?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 6*k + 11. Calculate g(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3257500?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18 * -0.09.\nAnswer: -1.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16590 by 1.\nAnswer: 16590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 60*d**2 - 368*d - 2994. Let w be o(-8). Suppose -5*s + s = 0. Suppose -3*l + 13*l - w = s. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1*12\/28\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2759042.\nAnswer: 2, 11, 13, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -0*h + 4*j - 16, -5*h + j + 19 = 0. Suppose h*x + 91879990 = 5*i, -4*x - i - 68910002 = -x. Round x to the nearest one million.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9*1)\/(((-930)\/20)\/31).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*a*d*n*p - 133*a*n*p + 2*d*p + 87*n*p + 2*n - 2*p wrt a?\nAnswer: 4*d*n*p - 133*n*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -76\/1291?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -507 - -504. What are the prime factors of 1 - (-7 - -4 - (p - -1226))?\nAnswer: 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*p - 2*p - 11*p to l + c*p and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 6 = -2*v - n, -v - 2*n = 0. Suppose 2*f + 5*r - 340 = 0, -r = -v*f + 690 + 12. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hwwwhhw. What is prob of picking 2 w and 1 h?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8586\/3339)\/((-2)\/14).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*s - 156*s + 302*s = -14 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y - 100776 + 0*y + 100776.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j**2 + 1 - 1 - 5 to v + z*j + o*j**2 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 237585 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 275 and 950.\nAnswer: 10450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45 + -3. Let f = i - 10. Does 16 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76875882 to the power of 1\/4, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -94.3 and -8.\nAnswer: 754.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3743006 is divided by 270?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 299.60154ms in hours?\nAnswer: 0.00008322265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 17. What is the remainder when 6\/2*(-205)\/(-15) is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -4*w - 24. Let s be (2\/w)\/((-25)\/12 - -2). Suppose 2*m - 52 = -v - 3*m, -5*v = -s*m - 115. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -1, -4, -5, 4 in ascending order.\nAnswer: -5, -4, -1, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*i - 838 + 629 = 5719. Let n = 0.1 + -5.1. Put n, 3, i in increasing order.\nAnswer: n, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 2*h + 6. Suppose -y + 0 = h. Let o = 2 - y. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.731957g to nanograms.\nAnswer: 4731957000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 4*y - 90, 2*g = -2*g + y + 61. Let v = 24 + -12. Calculate the smallest common multiple of g and v.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/26 - 2\/13. Let a be (-60)\/(-10) - (d - -2). Solve -2*h - h + 9 = -3*j, -a*h = -5*j - 11 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -2 (b) 40 (c) 449 (d) 52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (376\/(-3948))\/((-6)\/(-27)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1024 + 1498. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6892 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0, -1, -3\/4, -3.\nAnswer: -3, -1, -3\/4, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(294\/70)*3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + 5)\/(12\/8). Let c(j) = 3*j**2 - 2*j**2 + 2*j**a. Let h(m) = 3*m. Give c(h(r)).\nAnswer: 27*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2*f + 7 = d, 4*f - 42 = 3*d. Let i be -3*((-175)\/225 - (-1)\/f). Solve 3*w = -i*v - 3, 3*v + 4 = -2*w + 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*u + 120659994, -328*m + 80440030 = -2*u - 323*m. Round u to the nearest one hundred thousand.\nAnswer: -40200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-11 + 6)*5\/2. Suppose n*q - f = 12 - 13, 0 = -q + 3*f - 3. Solve q = -4*p + 3*r + 8, 2*r = -5*p + 14 + 19 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4*w - 20 = 0, -w = 4*r - 6*w + 25. Suppose r = -49*q + 2728 + 9620. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 59.\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - s**2 - s - 1. Let z(i) = -4*i**2 - 4*i - 5. Let l(v) = 4*m(v) - z(v). Find the first derivative of l(f) wrt f.\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -142.9 + 142.7643. Sort -3, 4, p in ascending order.\nAnswer: -3, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4*i = 140, 153 = 3*d + i - 62. Let c(r) = -r**3 + 11*r**2 + 12*r + 17. Let f be c(12). Suppose 0 = f*h - 14*h - d. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (460270\/(-8))\/((-19)\/(-304)*-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 15 (b) -94 (c) -7.3 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 2, h: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2\/5 - 1397072*i\/5 + 8382576\/5.\nAnswer: -4*(i - 6)*(i + 349274)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.87 + 0.13. Let f be (30 + -30)\/(2 + 0). What is the nearest to f in -3\/5, c, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) 12 (b) 1\/78 (c) 3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 3*j - 23 = -3, 5*j + 30 = 5*k. Solve -k = 2*w + 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -16 (c) -1\/7 (d) -4\/9 (e) -3\/4 (f) 3 (g) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(51)\/sqrt(3))**2 + -5 + sqrt(17))*4.\nAnswer: 4*sqrt(17) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1507, 7811, 18325, 33055, 52007, 75187, 102601?\nAnswer: 134255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + (sqrt(48)\/sqrt(4) - sqrt(12)))\/sqrt(6) + 3.\nAnswer: sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(6\/(-9)) - -2. Which is bigger: b or -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13 + 12 - j + 25 + (-j + 0*j - j)*(-3 + 7 + 35).\nAnswer: -79*j + 50","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 144 and 480?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/768 and 113\/52350.\nAnswer: 6700800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 804195 and 548895.\nAnswer: 34580385","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/5084 and 101\/52.\nAnswer: 66092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 0.23 (c) 2 (d) -3 (e) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/6*-2*(-4)\/(-16) - 61234\/10806.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 5 + -1 + (0 - (5 - (-3 - -13))).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29.59 - 29.59. What is the smallest value in n, -1.2, 1, 1\/3?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6*(0 - (-4)\/(-3)). Suppose 4 + w = 2*x. Suppose -26 = -x*n + 4*n. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156433 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 d be 2 - (-1)\/1 - (-39)\/(-15). Which is the closest to 8? (a) 2 (b) -0.1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bv when two letters picked without replacement from brrvrbrbvvb.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/4 - 8623*c\/4 - 147169\/2.\nAnswer: (c - 8657)*(c + 34)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129470 is divided by 116?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 145109, 145134, 145179, 145244?\nAnswer: 145329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -111, -245, -379, -513, -647, -781?\n\"Answer: -134*g + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -190\/3 - -64. What is the biggest value in 4, 0, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 * 23132.\nAnswer: 693.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, s: 5, g: 2, o: 1, a: 7}. Give prob of picking 2 g, 1 o, and 1 a.\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - 5. Let a(z) = z - 9. Let f be a(12). Let q = w - f. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of 5*f**8\/28 + f**4 - 24*f. What is the third derivative of u(n) wrt n?\nAnswer: 1200*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1101907888?\nAnswer: 2, 19, 3624697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -24741 and -8.7.\nAnswer: -24749.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 5:00 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -50 and 757008.\nAnswer: 756958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40637 is divided by 40626?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/7)\/h)\/h**(3\/17) assuming h is positive.\nAnswer: h**(-106\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10953*d**3 + 3*d**2 + d + 5772 wrt d?\nAnswer: -65718*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4747 by -33.\nAnswer: -4747\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -347790?\nAnswer: 347792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 12) to base 2.\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/20 or 3.3?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 1.79 (b) 7223\/5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 7*t**2 + 9*t + 8. Let g be f(-6). Let j be g\/(-4 + 2)*1. Let v be j - -1 - (1 + 0). Solve v*d + 11 + 9 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -5*y + 11 + 6*y - 2. Let d be c(-8). Solve 1 = -g - d for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x - 1. Let m be c(-4). Let v(k) = -k**3 + k. Let p be v(-1). Suppose p = 5*j - m*j + 4. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -142.1 - -141.4. Which is the smallest value? (a) -4 (b) -0.2 (c) -1 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -14847*h + 7461*h - 5 + 7419*h. Calculate c(2).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (-1 - 10) - (-4 - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 7*c**2 - 5*c. Let b(y) be the third derivative of y**5\/60 - y**4\/24 + 3*y**2. Let n(r) = -5*b(r) + z(r). Let s(w) = w**2. Determine n(s(l)).\nAnswer: 2*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31 + 31 - 6*d + 24*d to the form t + u*d and give u.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2*n - 42, n + 4*l = -0*n + 33. Let x(g) = -g**3 - 8*g**2 + 2*g + 47. Let m be x(-7). Let r = n - m. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - 168*b - 2716. Give c(-18).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-5*(sqrt(252) + -2 + sqrt(252)))**2 - ((sqrt(252) + 1)**2*-4 - sqrt(252))*1.\nAnswer: -4746*sqrt(7) + 102212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22608 + 34473. List the prime factors of t.\nAnswer: 3, 5, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2765\/12483 + -1\/1387. Sort a, -0.09, 2, 1\/4 in descending order.\nAnswer: 2, 1\/4, -0.09, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g**2 - 20*g - 27. Calculate n(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*z - 8*z - 10, 4*z - 15 = -5*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = h + 4*l + 12, -2*l - 6 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 213*b**2 + b + 2. Let y be k(-1). Suppose 2*g - 4*i = y, -6*g - 2*i = -2*g - 398. Is g a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-480)\/300*10\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1189\/12 + -99. Suppose -3*p + 2*v = -v + 3, -1 = -p + 2*v. Which is the second smallest value? (a) 0.5 (b) s (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + 1 + -1 + 3. Suppose -5*g = 5*p - 255, -p = -n*p + 3*g + 176. Does 7 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-4)*(l**3\/l)\/l*(l*l**(-1\/2))**(-21) assuming l is positive.\nAnswer: l**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1000862 + -19?\nAnswer: 1000846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -443 + 441. Let l = -25 - -15. Which is greater: l or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-44 - -7 - (0 - 1))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 18, 12, 49.\nAnswer: -1, 12, 18, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 0 + 18 + -20. What is the nearest to 0 in -0.3, z, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -663\/32, -8\/5, -445?\nAnswer: -663\/32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 49*m**4 - 23*m**3 - 168*m**2 - 71*m + 39. Let r(o) = -25*o**4 + 11*o**3 + 84*o**2 + 35*o - 19. Let f(t) = -3*l(t) - 7*r(t). Factor f(d).\nAnswer: 4*(d - 2)*(d + 1)**2*(7*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.155 + 0.245. Which is the second smallest value? (a) -6 (b) i (c) -0.1 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 23, -3, 82377?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g**3 + 131*g**2 + 3*g + 61. Let n(q) = q**3 - 46*q**2 - q - 20. Give 6*f(x) + 17*n(x).\nAnswer: -x**3 + 4*x**2 + x + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 747*k**4 - 457.\nAnswer: 2988*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 278 and 36.\nAnswer: 10008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 4:19 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 305 and 61?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -58619750 divided by -70\nAnswer: 837425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5\/4 of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 5*t**2 + 1125*t + 4482. Let l be b(-4). What is the greatest common divisor of 26846 and l?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -1. Suppose 4*f - c*f = 1. Solve -7 + f = -2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1852 and 1779772.\nAnswer: 1779772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 4 + 7)*(-1 + 1 + 1) + (-3 + 3 + 2)*(-2 - 4 + 2))*(2 - 4 + 3*t - 4*t) to the form s + k*t and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 184*h + 515*h - 183*h - 151*h.\nAnswer: -3*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wlwwclxglwc. Give prob of sequence llw.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaea when four letters picked without replacement from eaeeeeaepepaapeeeeee.\nAnswer: 13\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 3105*w**2 - 12*w - 6219*w**2 + 3113*w**2 to the form d*w**2 + q*w + u and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112 = 7*v + 63 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 250403449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 - 10 = 2*z. Let p = z + -15. Let a(u) = u**3 + u**2 + u - 1. Let b(h) = h**2 + 2*h - 2. Give p*b(f) + 2*a(f).\nAnswer: 2*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-14\/3)\/((j\/(((j*j\/(j*j\/(j\/(j**(3\/5)*j))))\/j)\/j))\/j*j*j*j*j))\/((j\/((j**12*j)\/j)*j)\/(j**(-3\/7)*j)) assuming j is positive.\nAnswer: j**(-73\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -538 - -583. What is the remainder when f is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5927.935 grams?\nAnswer: 5927935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7823 + 8045. Calculate the remainder when 798 is divided by r.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/8*(-6)\/(-15). Let n = 460 + -459.638. Let z = -0.638 - n. Which is smaller: z or w?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.016801ng in tonnes?\nAnswer: 0.000000000000002016801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 565 divide 317530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 - 39. Let j = 0.18 + 0.12. Which is the second biggest value? (a) -0.2 (b) -3\/5 (c) j (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -14*a. Let d(o) = -2*o + 9. Calculate d(v(s)).\nAnswer: 28*s + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 825 = 26*l - 15*l. What is the least common multiple of l and 45?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a week in minutes?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2436304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4*u + 2. Determine c(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 4290.\nAnswer: 2\/2145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 542157347 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.71 in -0.2, 1147, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.039 - 0.03899492. Round k to seven decimal places.\nAnswer: 0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 86\/18525 and 11\/33345?\nAnswer: 166725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 13.8 - 32175.1\nAnswer: -32161.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3. Let x(z) = 5*z**3 + z**2 + 6*z + 4. Let u(g) = -x(g) - 3*y(g). Let m(s) = 9*s**3 + s**2 + 7*s + 5. Determine 6*m(h) + 7*u(h).\nAnswer: -2*h**3 - h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00113877874 to 5 dps.\nAnswer: -0.00114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -cc0 (base 15) to base 14\nAnswer: -109a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*x - 12 = -290, 250 = -2*s + 5*x. Let k be 5\/10 - s\/(-10). Let q be (3 + k\/4)\/2. Sort -1, q, -0.5 in decreasing order.\nAnswer: q, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 37*j + 1. Let m(i) = -300 + 5*i - 300 - 299 + 899. Calculate m(d(y)).\nAnswer: 185*y + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p**(-4\/13)\/p)*(p**(-16)\/p)\/p assuming p is positive.\nAnswer: p**(-204\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/((h**(2\/17)*h)\/h)))\/h*h*h)\/(h\/(h\/h**(-20))) assuming h is positive.\nAnswer: h**(359\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i - 9. Determine p(14).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*c**3*z**4 + 4*c**3*z**3 - 6*c**3 - z wrt z?\nAnswer: -120*c**3*z**2 + 24*c**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, y: 2, d: 1, z: 1}. What is prob of sequence ylzd?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14134516 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 9*a**2 - 5*a - 6. Let i be q(9). Let m = i - -6. What is m rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1269282 a multiple of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 0 = -6. Suppose -1 = q - a. Calculate the common denominator of 1 - 85\/16 - q and 97\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26666 + 26666.5. What is the fourth smallest value in g, 1\/24, 2\/9, -3.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12384 + -12596.25. What is k rounded to the nearest 10?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -738 + 1?\nAnswer: -737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*s**4 + 4*s**4 + 4*s**3 - 2 - 13*s**4 to the form g*s**4 + w*s**3 + i*s**2 + z + m*s and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -42200*-3\nAnswer: 126600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2*z - 32. List the prime factors of (4\/z)\/((-1)\/(-18)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 1 (c) -0.2 (d) 192 (e) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15501, 31005, 46511, 62019, 77529, 93041?\nAnswer: 108555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85243?\nAnswer: 85243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x + 12. What is the tens digit of t(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -386*s + 704*s + 3*s**3 - 323*s.\nAnswer: 3*s**3 - 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 800*o + 5617. Determine a(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 286931.85 months?\nAnswer: 239.109875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1141 is divided by 232?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -149897\/9 - -16655. Which is the smallest value? (a) z (b) -0.5 (c) -5 (d) 3\/2 (e) -6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-68)\/(-272) + 186\/(-168))\/(207\/(-105) + 2)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + w = 20. Let g(s) = -2*s + 14. Suppose 2*j - 2 = 32. Let m(t) = 8 + 38*t - j*t + 1 - 22*t. Calculate w*g(f) + 8*m(f).\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 444410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1859697 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f - 22. Let r be o(-8). Calculate the common denominator of 441\/r - (-30)\/25 and 137\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 2*i + 48, -2*i + 18*y = 22*y + 46. Sort 3, i, -12 in ascending order.\nAnswer: i, -12, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 317\/4 - (-3)\/(-12).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/3 - 445*f**2 + 198025*f - 88121125\/3.\nAnswer: (f - 445)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - m = 21, 4*m = -6*k - 41 - 51 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*883.09.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 + -23. Let j = z - 6. Let p be (18*2\/(-4))\/((-10)\/6) + -5. Sort j, p, 1\/15, 1\/9 in decreasing order.\nAnswer: j, p, 1\/9, 1\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-3)*33\/66\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 7:48 PM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 divided by -48.\nAnswer: 13\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 9*j**2 + 2*j - 2. What is the least common multiple of m(-2) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - 4*y + 7. Let m be ((-10)\/(-5))\/((-2)\/5). Let j be a(m). Suppose j*f = f + 2. Is f at least as big as 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36778543?\nAnswer: 2789, 13187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1504 and 4145.\nAnswer: 5649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 387 + 71*l**3 + 137 + 197 - l**2 - 217*l**3.\nAnswer: -146*l**3 - l**2 + 721","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0192592 to 3 dps.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/21 + ((-80)\/(-14) - 3). Solve f*c + 3*u = -6, 3*c - 4*u - 1 = -21 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10212 - -222102?\nAnswer: 232320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 99 - -80. Let h = t - 125. Let y = -20 + h. What are the prime factors of y?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -144769.94 rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-7)*a)\/a)**21 assuming a is positive.\nAnswer: a**(-126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0231635 to three dps.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 54 - 35. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01297 to three dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 24*m + 79. Determine w(-22).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*o**4*z - 2340882*o**4 - 384*o**2*z + 7*o**2 + 2*o*z - 48*z wrt o.\nAnswer: -120*o*z - 56181168*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g + 2*z = -10, 5*g - z + 16671 = 16679 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -21. Suppose -q*n + 11*n = 6. Let g(z) = -z + 7. Let f be g(n). Which is the third biggest value? (a) -3\/5 (b) f (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/13 (b) -6\/7 (c) 0.3 (d) 0.25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 332*x + 3956. Give f(-11).\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.180537 rounded to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -848*p**2 + 5*p + 41. Let l(n) = -424*n**2 + 2*n + 16. Determine -2*k(j) + 5*l(j).\nAnswer: -424*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2988948 divided by 747237?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-262752)\/506)\/136)\/((9\/22)\/(-3))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.105 - -0.195. Let g = 17 + -19. Let n = 148 + -143. Sort -1, g, y, n in descending order.\nAnswer: n, y, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1016)\/(-240) + -5 - (-14)\/21.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11.919 - 12.919. Which is the smallest value? (a) 2 (b) z (c) -22 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**2 - 7*c + 7. Let g be w(-6). Suppose 5*h - 135 - 80 = 0. Let r = h + g. Calculate the remainder when r is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**3 + y**3 - y**3)*(-2*y - 2*y + 2*y) - 381 + 768 - 387 + 441*y**4.\nAnswer: 437*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.7 - 0.4. Let i = -2.7 - w. Let h = -93 + 92.98. Sort i, h, 2\/9.\nAnswer: i, h, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 49*j - 44*j + 5, -h - 3 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -150*f + 4. Let p be q(-3). Is 4\/20 + p\/5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 908 is divided by 91?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 456 = 193*x - 79*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 109413.71 and 0.3.\nAnswer: 32824.113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 639840 and 643710?\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 153 + -43. Let t = -30 - -74. Calculate the highest common factor of t and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1000 - 463. Suppose 0*y + 3*y - 540 = 0. Suppose u - y = 3*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tty when three letters picked without replacement from {o: 2, h: 1, t: 4, y: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 867564 and 15012?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/2 + (-414)\/(-36) + -7. Let j be (-3 + 1)*1*-4. Let g(z) = 2*z**2 - 11*z - 2. Let o be g(j). Calculate the highest common factor of m and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -161 - -406. Does 7 divide (-828)\/(-15) + -14*(-14)\/o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/((-16)\/59)*4. Suppose 0 = 3*r - 4*c - y + 11, 48 = 3*r + c. Suppose 3*k + 5*s = k - r, 0 = -s - 2. Put 5, k, 4 in decreasing order.\nAnswer: 5, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4)*p**4)**32 assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -i, 3*r = -0*i + 3*i + 30. Let f = -10 - i. Solve o + 5*b - 9 = f, 0 = -o - 3*b + 10 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 2*t - 4, 3*u + 9 = -0*u + 5*t. Let v be 4\/u + 12 + -14. Suppose c - 44 - 513 = v. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3451489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 607*w**3 + 547*w**3 - 388*w**3.\nAnswer: 766*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8 - 0)*(2 - 15). Let q be m\/(-28) + 2\/7 + 0. Suppose -2*l - q*s = l - 340, -4*l - 5*s = -453. Does 24 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 60, 25850, 4, 13, -1 in increasing order.\nAnswer: -1, 4, 13, 60, 25850","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 3 = -4*y, y - 2*d + 11 - 5 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 917726 and 6?\nAnswer: 2753178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/11466 and -83\/8526.\nAnswer: 332514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*v + 5 + 5*v - 13*v + (-40*v + 131 - 131)*(-2 + 1 - 2) - v + 3*v - 4*v.\nAnswer: 117*v + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -5*k - 20. Suppose -k*z + z + 44 = 0. Let m = -5715 + 5770. Calculate the highest common divisor of z and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -9\/2. Let b = q - 73\/14. Determine x, given that 2\/7*x**3 + 0 - b*x + 0*x**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42187700 divided by -4218770.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/17477 and -32\/9?\nAnswer: 157293","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 77887 to the power of 1\/2, to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -85585162575+5\nAnswer: -85585162570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17407.30068 - 17368.3. Let d = -39 + r. Round d to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m**3*p**2 - 10*m**3 - 142*p**2 + p with respect to m.\nAnswer: -3*m**2*p**2 - 30*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 4*n, 0 = n + 2. Let t = l + 11. Suppose 39*a = 34*a + 10. What is the remainder when t is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -235 - 295*b**2 - 6*b + b - 3*b + b + 285*b**2 wrt b?\nAnswer: -20*b - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 243 and 2916.\nAnswer: 2916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*y - 25*y - 2*y**3 - 2.\nAnswer: -2*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6608697?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1602 is divided by 264.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 12644, -3\/5, 0.5, -6, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, i: 7, a: 1, z: 4, t: 3}. Give prob of picking 1 l, 1 i, and 1 z.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*g + 15 = 0, -5*l = g - 5*g - 3. Factor -i**l - 31*i + 3*i**4 + 31*i - i**3.\nAnswer: i**3*(3*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -694839752*f**2 + 1148272556*f?\nAnswer: -1389679504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 79551 or 79344?\nAnswer: 79344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 5 + -5 + sqrt(80)*-1)**2 + 2 + 1.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4406258.805 rounded to the nearest one thousand?\nAnswer: 4406000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/((-17)\/(-14))*(-1)\/2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3 + 3)*(4 - 4 + 2*w) + (-1 + 0 + 0)*(-5*w + 8*w + 9*w) to the form m*w + j and give m.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49860974?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2356 and 152?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, b: 8}. What is prob of sequence bjb?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 71674397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -42045 times 1.52\nAnswer: -63908.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11252?\nAnswer: 2, 29, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/10)\/(((-7)\/14)\/(3\/(-9)))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1111797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 7 = 4*k - 5*k, 0 = -5*k + a + 13. Solve 1 = -o + k for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (252\/522)\/((-61)\/(-8845))\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16574*p + 114 = -16555*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60117860.\nAnswer: 2, 5, 11, 23, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/2080 and 97\/3744.\nAnswer: 18720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -222 divided by -58?\nAnswer: 111\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**4 + 12*z**3 - 26*z**2 + 16*z + 4. Let b(i) = 4*i**4 + 25*i**3 - 52*i**2 + 33*i + 10. Let m(l) = -2*b(l) + 5*t(l). Determine y so that m(y) = 0.\nAnswer: -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 98 + -95. Solve -16 = n*q - 7 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 l when four letters picked without replacement from inixlinaiinaiiixnnii.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9958*o + 18096*o - 10047*o)*(-o**4 + o**3 - o**3) + 2*o + 2*o**5 - o - 2*o + o**2.\nAnswer: 1911*o**5 + o**2 - o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2190597.\nAnswer: 3, 730199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x**3 + 80*x - 2. Let r(c) = 4*c**3 + 81*c - 3. Give 2*r(l) - 3*z(l).\nAnswer: -l**3 - 78*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(5*sqrt(45)*-2 + sqrt(90)\/(sqrt(4)\/sqrt(2))))\/((-3*sqrt(324) + sqrt(36))\/(-6*sqrt(8)\/sqrt(2))).\nAnswer: 81*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 118 + -124 + (-7 - 0) - -6\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -17\/2, 6\/7, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14 - 20444?\nAnswer: -20461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1274300441*l*m - 515681481*l with respect to m.\nAnswer: -1274300441*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 29\/2 of a millennium?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of -a**6\/60 + 7*a**4\/24 + 8*a**2. What is the second derivative of y(g) wrt g?\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22*t*v**3 - 36855*t*v**2 - 5029662*v**3 wrt t.\nAnswer: 22*v**3 - 36855*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12201200002 - 2?\nAnswer: -12201200011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, h: 3, g: 3, v: 4, w: 2}. What is prob of picking 3 l and 1 w?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61 - 50615*y - 64 + 50365*y.\nAnswer: -250*y - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 140435809 to the power of 1\/3, to the nearest integer?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3019 less than -79097713?\nAnswer: -79100732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8965474 + -8965366.99718. Let w = -53.2 + -53.8. Let v = w + f. What is v rounded to four dps?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 146126452 divided by -4\nAnswer: -36531613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24674*l + 49356*l - 24680*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 97 and 679?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**2 - 9*w + 8. Let j be d(-5). Let t(v) = 37 - 3*v - 24 + j*v**3 - 2*v**3. What is the remainder when t(0) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.023808374 rounded to four decimal places?\nAnswer: 0.0238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -818.197696 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 17*z**2 + 2*z - 32. Let d be m(17). Let w(n) = -d*n + 0*n + n - 63 + 90. Is 6 a factor of w(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/15862 and 81\/57680.\nAnswer: 634480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*s - 4*r, -3*s = -9*r + 5*r - 11. Suppose i = 5, 4*i - s - 7 = 2*p. Calculate the remainder when p is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + o = -1972, -a - 2*o + 385 = -5. Let j = a - 394. Is 6\/97 not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 h when three letters picked without replacement from {v: 6, i: 1, h: 4}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -13769*m - 20. Let n(y) = 66428542*y + 96488. Calculate 5*n(c) + 24122*p(c).\nAnswer: 6892*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence juj when three letters picked without replacement from {u: 11, h: 1, j: 2}.\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 6. Suppose 10 = -3*l + a, -m*a = -3*l + 4*l. Do -3 and l have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eejvvveeeeevj. What is prob of picking 1 j, 2 v, and 1 e?\nAnswer: 84\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-3)*(-6)\/(-4). Suppose 3*d + h*t - 17 = 0, -3*d + 3*t = -d - 7. Solve -p = -1 + d for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**2 + 2*m**2 - m**2 - 2 + 2 + 2*m**2 + 3 - 2*m**2 - 3 + (0*m + 4*m - m)*(m - 4*m + 2*m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -6 + (12 - 8) + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1192.467 millilitres in litres?\nAnswer: 1.192467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3363000 to the nearest 100000.\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -4 and -260 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -14*m - 3. Let d = -9 - -3. Let h(l) = -27*l - 5. Let q(z) = d*h(z) + 11*k(z). Find the first derivative of q(w) wrt w.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/5 - 290\/(-25). Suppose 3*h - 4*h + 9 = 0. List the prime factors of 1*3*z\/h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 8 + 0)*(q - 2*q - 2*q)*(-37 + 2*q**2 + 37)*(3 + 0 - 2) to the form k + w*q + f*q**3 + u*q**2 and give f.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -6. Suppose -2*a = 2*g - 18, 21 = 5*a - 0*g - g. Determine o, given that -1\/2*o + b - o**4 + 0*o**3 + 1\/2*o**a + o**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 19*l**2 - 14*l + 4. Let r be q(-1). Put 5, r, 3, 44 in increasing order.\nAnswer: r, 3, 5, 44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -587*n - 420. What is the tens digit of x(-19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 77.4 + -82.4. Let f = 0 + 1. Which is the smallest value? (a) f (b) x (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -q**3\/3 + 7*q**2\/2 - 2*q - 33. Let x be i(6). Solve x = -0*p - p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/16 and 1 - ((-194)\/36 + -1)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 196, 179, 162, 145, 128?\n\"Answer: -17*r + 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78\/21 - 10\/(-35).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/(-189)*3)\/((-10)\/105)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, f: 1, a: 1, r: 2}. Give prob of sequence rr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + a - 11 = -0*u, -3*u = -3*a + 21. Suppose -5 = 4*j - 1. Put 5, u, j in decreasing order.\nAnswer: 5, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 + 5*h**2 - 2*h**2)*(2*h - 4*h + 4*h) - 3*h**3 + 3*h**3 + h**3 - 7*h**3 - 61*h - 2*h**2 + 61*h.\nAnswer: -4*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*(-1)\/24*-51)\/((-125)\/(-50)).\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*g + 5*x + 10, 0 = -3314*g + 3317*g - 4*x + 35 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/6*((-4760)\/120)\/17*9\/(-7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*i**2 + 6 - 6 + (2*i + 0*i - 5*i)*(4 + i - 4).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -8*a**3 - 8*a - 7. Let k be o(-6). Let j = 2547 - k. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, 5\/6, -4, -3, 0.4 in decreasing order.\nAnswer: 5\/6, 0.4, 0.04, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 7*x + 88. Calculate h(0).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -4*g - 10, -3*g + 0*g - 4 = -2*l. Suppose 3*u - 60 = l*u. Suppose -u = 6*f - 11*f. Solve -3*b + 3 = -f for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 98861 and 6293?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53 + -51. Suppose 3*w - 19 = g*w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1953 and 1155.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssisssssiiss. Give prob of picking 3 s and 1 i.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2. Let u(n) = n**2 + n - 1. Let c(d) = -10*d**2 - 9*d + 13. Let v(h) = -2*c(h) - 18*u(h). Determine v(r(l)).\nAnswer: 2*l**4 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -142 + 141.99999537. Round u to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/15 - (-38)\/(-10). Let k(d) = d**3 - 4*d**2 + d + 6. Let u(h) = -2*h**3 + 4*h**2 - 6. Let v(c) = -3*k(c) - 2*u(c). What is the units digit of v(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -3 (c) 5\/16 (d) -0.68 (e) 0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 132*h - 2. Calculate y(1).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 5, -17, -19.\nAnswer: -19, -17, -1\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/25, 100019, 1\/10 in descending order.\nAnswer: 100019, 1\/10, -2\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16940.372 - -16931. Round v to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 70\/87, 4, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 10:02 AM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2*f - 160 - 514 = 0, 518 = 3*l - f. Let n = 15 + -9. Suppose -5*k + l = n. Calculate the greatest common divisor of k and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008202 to 5 dps.\nAnswer: -0.00082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -d**6\/1440 - 7*d**5\/40 - 147*d**4\/8 - 61*d**3\/2 + 27*d**2 + 2*d. Let w(r) be the first derivative of j(r). Factor w(h).\nAnswer: -(h + 42)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.4, 3\/8, -44, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2268333584 and -0.20849?\nAnswer: 2268333583.79151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 46, 1, -1 in decreasing order.\nAnswer: 46, 5, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120 and 180?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2268 a factor of 109689552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a century in decades?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001155176 rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -119473912, -238947825, -358421738?\nAnswer: -477895651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 1:59 PM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n + 11. Let i be o(6). Suppose -i*u = -u - 116. What are the prime factors of u?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (0 + 0)) + -19 - (39 - (-138 + 184)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 17 - 15 - 1 - 27*c**2 + 25*c**2 + 6*c**2.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 79961730 and 270.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gyg when three letters picked without replacement from {y: 8, g: 3, s: 5}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07 - 8551355606168.\nAnswer: -8551355606168.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, x: 2}. What is prob of picking 1 x and 3 a?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1366459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 218592 less than 218652?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 468*o - 164*o - 80*o.\nAnswer: 224*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, p: 1, g: 1}. Give prob of sequence gpzg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -34512 (base 6) to base 10\nAnswer: -4940","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4146624378?\nAnswer: 2, 3, 13, 317, 55901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 8, 61 in decreasing order.\nAnswer: 61, 8, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 90.09 - 90.03. Is 14 not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2074, 1458, 914, 472, 162, 14?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2240255 to the nearest integer?\nAnswer: 1497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8129694 to the nearest integer?\nAnswer: 2851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 18, 27, 32?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1286*v + 5924 = -45805 - 4855. Let q = -27 + 42. What is the remainder when v is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 6:03 AM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2182 (base 9) to base 13\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q + 19. Let i(o) = 3*o - 13. Let h(p) = -3*i(p) - 2*w(p). What is h(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -205 + 220. What is the remainder when 673 is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(209) + (sqrt(209) + sqrt(209) + 5*sqrt(209) + sqrt(209) - sqrt(209)))*2 + sqrt(209))\/sqrt(11) - -6*(0 + sqrt(76)\/(4*sqrt(4))))**2.\nAnswer: 26011\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1027 + -11314\/11. What is the common denominator of 83\/2 and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**3 + 141*l**2 + 69*l + 123. Determine r(71).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20991721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 - (-169)\/(-65))\/((-3)\/(-15)). Solve 2*r - 50 = h*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -156*v - 2. Let a(n) = -n**2. Determine x(a(u)).\nAnswer: 156*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 f when two letters picked without replacement from {m: 1, c: 1, f: 5, j: 1, l: 2}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -915 (c) -16 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 172*o**3 + 170*o**3 + 2*o - 24 - 46*o + 20*o - 348*o**3. Let v(k) = 1 + 3 - 1 - 4 - k. Give -24*v(z) + y(z).\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -771*y**2 + 9*y + 9. Let t(l) = -771*l**2 + 8*l + 8. Let v(d) = 4*k(d) - 5*t(d). Is v(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4105809905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48796*j**5 + 33811*j wrt j.\nAnswer: -975920*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 352630893 to the power of 1\/2, to the nearest integer?\nAnswer: 18778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1019101 is divided by 3165?\nAnswer: 3136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-3 + sqrt(432))*-2)**2 + 5 + (sqrt(432)*1)**2 + sqrt(432) + sqrt(432)*1 + -1.\nAnswer: -10344*sqrt(3) + 63940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -1. Let u(o) = -o - 14. Let l(z) = z**2 + 20*z - 45. Let r be l(-22). Let t(v) = r*u(v) - 2*x(v). Calculate the remainder when t(6) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13*(-132)\/(-2288))\/((1*(-1)\/(-1))\/(-68)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (0*(-7)\/14)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/20 of a millisecond?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10677 (base 9) to base 4.\nAnswer: -1233031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -7*l**2 + l + 3. Let a be -99 + 95 - (-1 - 0). Let w(v) be the second derivative of -13*v**4\/12 + v**3\/6 + 5*v**2\/2 + 30*v. Give a*w(b) + 5*c(b).\nAnswer: 4*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 0*b**3 - 114 - 76*b + 1\/4*b**4 - 20*b**2. Find the first derivative of a(z) wrt z.\nAnswer: 3*z**2 - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291 = 6*g - 297 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.058 - -0.126. Let g = u + -0.068. Let o = 3.9 - -0.1. Which is the second smallest value? (a) o (b) g (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 729759 and 3141.\nAnswer: 2189277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c. Let b(y) = -69213*y. What is b(f(u))?\nAnswer: -276852*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**4\/2 - 479*c**3\/3 - 808*c**2\/3 + 589*c - 321\/2 = 0.\nAnswer: -3, 1\/3, 1, 321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4915*i - 4910*i = 20 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2.1 times -2335.5\nAnswer: -4904.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -1627*p - 24. Is q(-61) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 353 + -352.999661. Round z to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = h - 3. Let c = 716 - 6208\/9. Let r = -26 + c. Do r and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/5 - (-24)\/5. Find the second derivative of 5*g**c + 6*g - 2*g**5 + 5*g**5 - 6*g**5 wrt g.\nAnswer: 40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -107310 less than -19?\nAnswer: 107291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*x**2 + 8*x**2 - 892 - 61*x**2 + 32*x**2 - 240 as k*x + y*x**2 + p and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - q**2 + q - 10. Let o be n(0). Suppose 3*b - 2*p = 6 - 22, p = 3*b + 11. Let z be ((-44)\/55)\/(b\/o). Sort z, 2, 5.\nAnswer: z, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33185768.\nAnswer: 2, 7, 11, 17, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.009 - 4.991. Let q = 0 - -2. What is the closest to 2\/5 in q, z, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 39673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -1. Let n(u) = u - 4. Let j be ((-6)\/4)\/((-90)\/(-48))*5. Determine j*i(y) + n(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 70*(-171268)\/750120 + -1 + 17\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1389 and 9811.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54355223\/9345 + 430\/1869. Let g = 5820 - v. Calculate the common denominator of g and -97\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9795 (base 10) in base 12?\nAnswer: 5803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-3 + 0 + 2) - 2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ununuunuuuuuuuuu. Give prob of sequence nun.\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 187 + -172. Suppose -27695 = h*u + 20905. Round u to the nearest 100.\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 226 = -225 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = 2*h + 19 - 5, 2*c - 4*h = 12 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(-2 + 2*i + 2) + 2*i + 2 - 2 + 798963 + 66*i - 798977 - 19*i - i + 0*i - 3*i.\nAnswer: 41*i - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of -x**5\/5 + 2*x**2. Let n(f) = 948*f**2 - 1912*f**2 + 962*f**2. Determine n(y(u)).\nAnswer: -288*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.6 + 1.4. Let z = -6 + v. Which is the biggest value? (a) z (b) 0.1 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 8 = -2*a, -3*f - 4*a = -3 - 3. Solve f = -3*h - 7 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 10 + 26 = -2*d, j - 10 = 2*d. Suppose j = 2*u - 6. Calculate the remainder when 16 is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -269 by 56200.\nAnswer: -269\/56200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(400) - -1*sqrt(400)))\/(sqrt(288) + (3*(sqrt(288) - -2*sqrt(288)) - sqrt(288))).\nAnswer: -10*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 3)*(4*n + 2*n - 5*n)*(0 + 2 - 1) + 103*n - 101*n - 60*n.\nAnswer: -59*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.74 and -6215.\nAnswer: -29459.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1132, -8986, -30302, -71812, -140248, -242342, -384826, -574432?\nAnswer: -817892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-3*(sqrt(130)*1)\/sqrt(10))**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r. Let u(s) = 64686*s**2. Determine a(u(i)).\nAnswer: 129372*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-20))\/((-2)\/16). Let o = -42.0119 - -41.0119. Which is the nearest to o? (a) -2\/9 (b) -3\/4 (c) 15 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 67, 183, 457, 967, 1791, 3007, 4693?\n\"Answer: 13*l**3 + l**2 + 22*l + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 20*d**3 - 4*d**2 + 17*d + 68. Let i be y(-5). Which is smaller: -2616 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 455*x - 9453. Determine o(20).\nAnswer: -353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -f - 2*f**2 + f + (4*f + f - 3*f)*(-f + 0 + 0) - 4*f**2 + 4*f**2 - 2*f**2 - 1 - f**2 + 31 - 14 in the form m*f**2 + c*f + i and give i.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 395, 0.3.\nAnswer: 2\/9, 0.3, 395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 4767319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 1:24 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2486415199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 90 - 84. Suppose -4 - 12 - 4*x + 2216*x**2 - g*x - 2217*x**2 = 0. Calculate x.\nAnswer: -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d + 8. Let l be (-4)\/(-1) + 2\/1. Let a be f(l). What is the units digit of 1\/(-2) - (-23)\/a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssv when three letters picked without replacement from {s: 3, o: 2, v: 1, c: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 0) + -7 + (61 - 46) + -15?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4\/23 + -2\/23. What is the nearest to y in 2, -0.3, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5903723.5*1\nAnswer: 5903723.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p - 13. Let r(m) = -28*m + 63. Give -l(x) - r(x).\nAnswer: 27*x - 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3860094 + -1.1.\nAnswer: -3860095.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 6:24 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 7:45 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 185c (base 16) to base 11.\nAnswer: 475a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -10. Let g be 2 + ((-7)\/(-5) - 3). Which is the third biggest value? (a) g (b) -1\/2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*m**2 + 4*m**2 + 4 + 2 - 18 to the form w*m**2 + x + i*m and give x.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/(-108360)*-129*15\/38.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15670813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39548659.\nAnswer: 39548659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 160088?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.13 - -22.77. Let g = 26.8867 - i. What is g rounded to three dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -2*c - 6, 2*n + 3*n = -4*c - 9 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - (45 - (-6 - -19))) + (2 - 2) + 4\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 51\/2 of a microgram?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((1 - (-6 + 3)) + -4)\/(-1). Which is smaller: 12\/193 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -3*c**5\/10 - 5*c**2 + 4*c. Let l(u) = -16*u. Determine l(y(m)).\nAnswer: 288*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**1)**(-16))**41 assuming h is positive.\nAnswer: h**(-656)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 11*x - 15. Let j = -1818 - -1803. Put j, -4, 5, x in descending order.\nAnswer: 5, x, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 5588.655 - 5590. What is x rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -5. Solve t**3 + 4*t**i - 2*t**3 - 4*t**2 + t**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3141 - -44441?\nAnswer: 41300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1233710061?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 19747.868477 + 0.3\nAnswer: 19748.168477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-9)\/(891\/9)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 3*i**2 + 6*i - 2. Suppose -10 = 2*w - 4*w, o = 3*w - 20. Let h be x(o). Let q = h + -10. Calculate the smallest common multiple of 4 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/14211821 and -53\/39.\nAnswer: 42635463","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 11) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 - 34. Let h(m) = -m**2 - m - 1. Let q(k) = 16*k**3 - 2*k**2 - 2*k + 56. Let l(s) = t*q(s) + 2*h(s). What is the first derivative of l(u) wrt u?\nAnswer: -48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n = y + 7*n, -y = -3*n + 5. Solve 0 = 5*u - 20 + y for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-38) + 273\/(-114))*-2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 + 1)*(19 - 5 - 1)*(8 + g - 8) to q*g + r and give q.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -20*(-7)\/((-140)\/(-16)). What is the tens digit of (-4)\/((-36)\/d - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 208 - 208 + 13*c in the form w + h*c and give h.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53848, -107722, -161626, -215566, -269548, -323578?\nAnswer: -377662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31355 (base 6) in base 11?\nAnswer: 3211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((-40)\/(-45))\/8.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8283297 is divided by 552.\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cctlikldcttd. Give prob of sequence dikc.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.25 * 2\nAnswer: 0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (64\/10)\/(4\/20). Let s(w) = 2*w**2 + 15*w - 64. Let m be s(5). Let o = m - x. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 8.5. Let n = -0.9 - -1.2. Put n, 1, l in descending order.\nAnswer: 1, n, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1048271663?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3228647?\nAnswer: 797, 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 7*g - 20. Let v = -39 + 38. Let q be 24\/((-9)\/6*v). What is the tens digit of i(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25624 and 14552.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -242953 + 1910935\/8. Let o = l + 4094. What is the common denominator of -43\/14 and o?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 218 - 132. Suppose -3*d = 4*l - 132 + 32, -3*l - 5*d = -f. Calculate the greatest common factor of 2 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1198211 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6111*f**3 - 6*f**2 - 2*f - 210 wrt f?\nAnswer: -36666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -2*m**3\/3 + 280*m**2 - 39200*m + 125. Suppose t(v) = 0. Calculate v.\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 6:58 PM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*k + 4 = 0, -4*i + k + 3 = -7. Suppose i*s = 6*s - 456. Suppose 42 - s = -4*m. Does 8 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_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: What is the tens digit of 19851102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/191 (b) -102 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 17 = c, -96 = 5*c - l - 23. Sort -3, c, -5.\nAnswer: c, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (22 + (-6 + -9 - -2)) - (-1 - 9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 51449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -11. Suppose -d - 29 = -4*d + 5*c, 10 = o*d - c. Suppose 0 = -g - 5*x + 62, -g - d*x = x - 64. Does 3 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 - 3*g**2 + 0*g**2 + (2 + 2*g - 2)*(-2 + 2 + 2*g) - 2*g**2 + 0*g + 0*g + 3 + 2*g**2 - 3 + 8*g - 3*g**2 - 8*g)*(-g - 5*g**3 + g).\nAnswer: 5*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2 (b) 3\/2 (c) -0.0334\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -39 + 15. Let w be -51 + 0 - (p - 6). Let r = w + 95. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/120*-55*13\/(312\/36)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 42\/1889?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 15 + 3. Suppose -2*p = -5*c + s + 9, -2*c + 4*p + 8 = 0. Suppose -5*x = -3*y + 3, -2*y - c = -4. Solve -2*j + x*j - 10 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 3:39 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-15))\/(9\/6).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43 + 76. Calculate the remainder when u is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 882559?\nAnswer: 701, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 + -26. Suppose -k + q*k = 0. Let r(i) = i + 13. Let m be r(k). What is the highest common divisor of 52 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 224 + -201. Suppose 11*u + 23 = -131. Let t be (-4)\/u + 144\/(-357). Which is the fourth biggest value? (a) 4 (b) t (c) v (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 350 + -101. Suppose -4*f + s + 0 = 3, 3*f - 4*s = -12. Suppose 5*q + y = 275, -5*q + q + 5*y + a = f. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1434553161.\nAnswer: 3, 478184387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10070737 to the power of 1\/3, to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.0731 milligrams in grams?\nAnswer: 0.0720731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*y + 16 = 0, -26 + 3 = 4*j - 5*y. Let g be (-6)\/j*(-7 - 0). Calculate the smallest common multiple of (0 + -6)\/(g\/8) and 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 23242*v + 185941. Determine z(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**2\/u))**(6\/19)\/(u**(-2)\/u*u*u*u\/(u\/(u*u**7))))**(-5) assuming u is positive.\nAnswer: u**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fyfyfsfyyyy. Give prob of picking 1 s and 3 y.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 240?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, 1\/3, 21\/29, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 3*g - 16 = 0. Let o be -2 - g\/(-6)*-9. Put -1, o, -2 in descending order.\nAnswer: o, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t + 2. Let a(v) be the second derivative of -7\/2*v**2 + 5\/3*v**3 + 16*v + 0. Let h(o) = -6*a(o) - 21*m(o). Let l(d) = 3*d**2. Determine l(h(z)).\nAnswer: 27*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 11:55 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16568*u - 120490*u - 91686*u - 115638*u + 63508*u.\nAnswer: -280874*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z = 6*z + 3382. Let g = 180 + z. Solve 0*s + g = s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(5) - (sqrt(5) + 5)) + 5 - (sqrt(405)*4)**2).\nAnswer: -19440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 13*-0.07\nAnswer: -0.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiipippippiiipiiixpp. Give prob of picking 2 p and 1 x.\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j + 39. Suppose -4*u = -5*u. Let p = -31 + 52. Calculate the remainder when q(u) is divided by p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 6440, 3, -5, -3\/4?\nAnswer: 6440","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1207 - 1205. Solve -b - 24 = -5*m - 5, 4*m - g*b = 14 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.35 times -654000\nAnswer: -228900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b91 - -250?\nAnswer: de1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 183579724?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -150199729*d*t - 4066*d + 12877 wrt t?\nAnswer: -150199729*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-317509)\/155040 - (-3)\/5 and -113\/1332.\nAnswer: 10656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b19 - 5?\nAnswer: b14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -75\/11, 0.4, -460?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -97290, 4, -3\/5, -1?\nAnswer: -97290","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -w**6\/120 + w**5\/60 - 5*w**3\/6 + 607*w**2. Let m = 14 + -12. Suppose m*b = -2*b. Give j(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 96 - 96. Suppose -w + h + u = 1, -4*w = 2*h - 20. Solve q + 7 = w for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -869 - -871. Solve -28 = 5*h + 3*v - 0*v, -n*v = 5*h + 27 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6305473\/656 - 9612. Which is smaller: a or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 e when two letters picked without replacement from ejjceeqe.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 943*x + 8658. What is j(-12)?\nAnswer: -2658","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**2\/p)\/p)\/p)**(-26)\/(p\/p**2)**(-22))**(2\/23) assuming p is positive.\nAnswer: p**(8\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (h + 2 + 2*h - h)*(-2*h**2 + 1 - 1) in the form x*h**2 + m*h**3 + u*h + z and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -550\/481?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 494.606253 to the nearest 10.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45.555 - 49.555. What is the fourth biggest value in 5\/4, -9, -69, u?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36 + (-25104)\/(-696) + 2*(-5)\/(-696)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**5 - r**4 - r**2 - r - 1. Let g(f) = 3*f**5 - 5*f**4 - f**3 + f**2 - 2*f - 2. Let x(o) = -g(o) + 2*h(o). Let x(y) = 0. What is y?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 1\/185 (c) 14 (d) -0.3 (e) -37 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w - 3. Let c be m(-4). Let r(v) = 8*v**3 - v**2 + v - 1. What is the remainder when 20 is divided by r(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - (0 + 0))*2. Let q(w) = w - 13. Let f be q(11). Let i be (f - (2 - 3))*1. Which is the second biggest value? (a) 0 (b) i (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27079 smaller than 27054?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5*q + 36. Let x(y) = y**2 + 12*y + 18. Let k be x(q). Let a be (-32)\/(-12)*(0 + k\/(-2)). Solve 3*m + m = a for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*o**3 - 22988*o**2 + 171988*o - 80248.\nAnswer: 4*(o - 2866)*(o - 7)*(2*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -333*g*i*w**4 - 8631*g*i*w**2 - 31*g*i*w + 2*g*w**4 + i*w**2 + 3*w**4 wrt w?\nAnswer: -7992*g*i*w + 48*g*w + 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 256376311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.0168 or -1\/3?\nAnswer: 0.0168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 252.9838 centimeters to meters.\nAnswer: 2.529838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 + 27. Put n, -2, -1 in decreasing order.\nAnswer: -1, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 11 = -5*y, -5030*y + 5027*y = -3 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**2\/9 - 14768102*n\/9 + 1640900 = 0. What is n?\nAnswer: 1, 7384050","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**4 - 30*v**3 + 96*v**2 + 2078*v + 1953 = 0.\nAnswer: -31, -7, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/1627 (b) 849 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -12270, -24543, -36926, -49473, -62238?\n\"Answer: -9*i**3 - i**2 - 12207*i - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -t + 110. Let w = -12 + t. Calculate the remainder when 2\/2*(-1 - -30) is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142*a**3 - 415*a**3 + 131*a**3 - 415*a**3 - 245*a**3.\nAnswer: -802*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 0)*(-3*g + 2*g + 0*g) + 1609 - 3218 + 1609 + 20*g in the form w + t*g and give t.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 c when two letters picked without replacement from {k: 1, b: 2, e: 1, c: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 785 and 157.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(351)\/(-3*sqrt(9)))\/(sqrt(147)*-1))**2.\nAnswer: 13\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34707 + 34780.964. What is i rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4391000 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xk when two letters picked without replacement from lgzzzzgxk?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**3 + w**3 + w**3 + (-2*w**2 + 5*w**2 - w**2)*(-11*w - 20*w - 8*w).\nAnswer: -79*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -907*j**6\/3 - 397*j**2\/2 + 2033. Find the second derivative of h(r) wrt r.\nAnswer: -36280*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 2*l**2 - 6*l - 4. Give y(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ow when two letters picked without replacement from hwoo?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 16478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + 9*p + 538. Determine o(28).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5089156040 rounded to the nearest one hundred thousand?\nAnswer: -5089200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 342 and 760?\nAnswer: 6840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1441 - 43053?\nAnswer: -44534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -2479, 5, 0, 142, 2 in increasing order.\nAnswer: -2479, -4, 0, 2, 3, 5, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + -2. What is the tens digit of 20 + (3*-2 - m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 71?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 2:07 PM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3865630681?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 145458770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 192024 and 9?\nAnswer: 192024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-60)*-3 - (-74338)\/310. Solve a = 25*g - 85*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 275, 272, 275, 284, 299, 320?\nAnswer: 347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 88 + 89. Let r be (-7)\/4*-2 - (-1)\/(-2). Suppose 209 - x = r*l. Calculate the greatest common divisor of l and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-2))\/((-1)\/(-11)). Let c(m) = -7*m**2 + m + 1. Let d(k) be the first derivative of -13*k**3\/3 + k**2 + 2*k + 15. Calculate r*c(t) + 6*d(t).\nAnswer: -t**2 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 6*r**2 - 5*r + 1. Suppose 6*c - c = -2*i + 27, -3*i - 12 = -3*c. Let l be t(c). Solve 2*j - l = 2*f - 3, -3*j - 15 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 2*u - 1, 2*u + 226 = -m. Let g = m + 268. Solve c - 2 = 3, 5*y + 4*c = g for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100010 (base 2) to base 12.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-28)\/120 + (-3)\/18. Sort z, -1, 0.\nAnswer: -1, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1979 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2*c = 14, 0 = -5*r + 2*c - 5*c + 5. Is -2 greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1226938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 25\/(-5) + 2\/(-2) + 1957. Differentiate -996 + i + 126*m - 1053 with respect to m.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**2\/2 + 40841*m\/2 - 20421 = 0.\nAnswer: -40842, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -4*r + 3, -j - 9 = 4*j + 2*r for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lbelq. What is prob of sequence be?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/3)*t)**(-1\/41)*(t\/(t\/(t**0*t)))\/((t\/(t\/((t\/t**(-1))\/t))*t)\/t)*t**(-3)\/t**(-1)*(t*t**(-1\/3))**(5\/6) assuming t is positive.\nAnswer: t**(-545\/369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135126765.\nAnswer: 3, 5, 19, 139, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 175742470 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + 1 + -2 + 1. Suppose -x*r = -3*c + 26 - 2, 0 = 4*c + 2*r - 44. What is the common denominator of (-4)\/c - 2444\/240 and -103\/14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8003*v**4 - 464173*v**3 + 6730465*v**2 + 841*v.\nAnswer: v*(v - 29)**2*(8003*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -5*d**3 + 156*d**2 - 91*d - 56. What is the tens digit of q(28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of -k**7\/560 + k**6\/24 + k**5\/20 - 5*k**4\/2 - 251*k**3\/6 - 5*k**2 - 3. Let t(a) be the first derivative of r(a). Factor t(o).\nAnswer: -3*(o - 10)*(o - 2)*(o + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w + 2*w**3 + 3*w + 2*w - 48*w**2 + w**3 - 19*w.\nAnswer: 3*w**3 - 48*w**2 - 11*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6984135048?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123245920?\nAnswer: 2, 5, 7, 17, 6473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**40*w)\/(w\/(w*w\/(w*w\/w**46))))**(2\/137))**(-2))**(1\/4) assuming w is positive.\nAnswer: w**(-86\/137)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -83709, -334825, -753351, -1339287, -2092633?\n\"Answer: -83705*m**2 - m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 2 - (3 + -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9\/10 of a kilometer?\nAnswer: 90000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.154 smaller than -3609?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 200788 = 4*i - 200796, 4*h = 4*i - 32 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 4*l - 32*l + 0*l + 2*l - 4*l + (-3 - 3 + 5)*(-l - 2 + 2) + 3*l - 5*l + 4*l)*(0 + 6 + 6)*(-1 + 0 - 3)*(-3 + 6 + 2)*(-2 + 3 - 3).\nAnswer: -12480*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-1\/8)*n**2)\/(n**(2\/9))**20*((n**8*n*n)\/((n**(-1\/5)*n)\/n))\/((n*n\/((n*n**(1\/8)*n*n)\/n))\/n**(-6)) assuming n is positive.\nAnswer: n**(541\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1445563 (base 7) to base 8.\nAnswer: 577606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -24 + 18. Solve 16 = 3*w - 2*h, 6*w - 5*h - 22 = f*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 19040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5323045 by -455.\nAnswer: 11699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.125 - 0.075. Which is the nearest to -1? (a) 2\/5 (b) x (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 524 and 68.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 11, n: 3}.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-396)*-6*(-8)\/2\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37 - 5. Let r be 4\/a + (-2)\/(-3). Let m = 0.03 + -0.03. Put r, -4, m in ascending order.\nAnswer: -4, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 875623?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000017949658387 rounded to six decimal places?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/11 (b) 4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d**2 + 35015*d + 70010 = 0.\nAnswer: -7001, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 h when four letters picked without replacement from {q: 6, r: 2, l: 2, x: 1, h: 4}.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and -0.0235274.\nAnswer: 0.2117466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 440 = -b - 100, 0 = b - 5*g - 352. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 18*i**2 - 45*i + 24. What is the remainder when 2422 is divided by t(-15)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 7*l + 1. Let q(d) = 7*d - 6. Let c(m) = 6*m - 5. Suppose -x = 6 - 0. Let b(h) = x*c(h) + 5*q(h). Let w(g) = -14*b(g) - 2*n(g). Factor w(i).\nAnswer: 2*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-6)\/p))\/(p**(-7)*p)*(p\/p**(-2))**(3\/31)*((p*p\/(p\/(p**(2\/9)\/p))*p*p)\/(p*p**5*p))\/((p\/(p**1*p))\/p)**(1\/42) assuming p is positive.\nAnswer: p**(18671\/1953)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 422 is divided by 266?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.8 + 35.2. Let w = f + -50. Which is the third smallest value? (a) w (b) 2 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -2. Let h(y) = -2*y - 4. Let k be h(-6). Suppose 0 = -0*u + 4*u - k. Solve g = -u*a + 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 564.943?\nAnswer: -112.9886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -3*n - 2*k, -4*n - 29 = -2*k + 11. Calculate the smallest common multiple of 2 and (n + -12)*(-4)\/3.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 0. Let v be (12\/(-52))\/(138\/(-2990)). Solve -u - 24 = m*u + v*c, u - 12 = 5*c for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-11) + 42\/132. Let h*y**2 + 0 + 1\/4*y + 1\/4*y**3 = 0. What is y?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3847 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) -2\/5 (c) -6 (d) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/4)\/((-6)\/2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 7767153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3480 + -2892. Calculate the highest common factor of 210 and y.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1717*q**3 + 3*q**2 - 3*q**2 - 201*q**3.\nAnswer: 1516*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -26.6 from -844228.\nAnswer: -844201.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 735a + -505?\nAnswer: 6a55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 13, c: 3}. What is prob of sequence cc?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16610\/5 - 93\/(-62)*(-4)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16582 + -945230\/57. Let z = 6\/19 + c. Let b = -3 - -2.9. What is the closest to 0.1 in 5, z, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((7*6\/42)\/(-1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**2 + 8*b + 3. Let r be d(-5). Suppose 4*p = 8, p + 66 - r = 5*k. Calculate the smallest common multiple of 9 and k.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/2*1)\/(684\/(-7068))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 7:02 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/13 (b) -2\/4451 (c) 63\/41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -25*r + 10. Let a be h(-7). Is a + 2 - (1 + -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.161508707 rounded to one dp?\nAnswer: 15.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of -m**8\/1344 - 19*m**7\/420 - 397*m**6\/480 - 57*m**5\/20 - 27*m**4\/8 - 3*m**2 + 36*m. Factor d(a).\nAnswer: -a*(a + 1)**2*(a + 18)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 845206 to the nearest integer?\nAnswer: 919","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 489821?\nAnswer: 17, 28813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -11, -27, -73, -167, -327, -571?\n\"Answer: -3*h**3 + 3*h**2 - 4*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -802604 + 1502337. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19514882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of w**3\/6 - 2*w**2 - w. Let z = 77 - 71. What is i(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 = p - 23*o, 0 = -39*o + 35*o - 8 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -34, -58, -82?\n\"Answer: -24*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of 2*y**5\/15 + 13*y**4\/24 - 6*y**2. Let h(a) = -2*a**2 - 3*a. Let z = 19 + -10. What is z*h(v) + 2*t(v)?\nAnswer: -2*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - 54\/10) + 2. Let o be 1\/((-3)\/21*1). Let i = 8 + o. Does c = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167166 to the power of 1\/2, to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -787*x - 8. Let l be t(-8). Suppose y - l = -2*y. Is y\/16*(0 - -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-7\/3)\/z)*z**(1\/2))\/(z**(-5)\/z)**(1\/3) assuming z is positive.\nAnswer: z**(41\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t**2 + t - 6 + 222320*t**3 + 0*t**2 - 222349*t**3 as x*t + r*t**3 + w*t**2 + y and give r.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1667.\nAnswer: 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 8:29 AM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2764, -5529, -8294, -11059?\n\"Answer: -2765*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -2. Suppose -3*a = 5*l - 14, 2*a = -l + 2*l + 5. What are the prime factors of (3\/l - i) + 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31.577 - 31.3. Let t = 0.123 + u. Sort -9\/5, -0.5, -2\/7, t in descending order.\nAnswer: t, -2\/7, -0.5, -9\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gwdnnwgwwgndwwww. Give prob of picking 3 n and 1 g.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 81894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1595905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1586517 > 1586517?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -3*h**6\/200 - h**5\/10 - h**4\/10 + 7*h**3 - 6*h**2. Let r(i) be the first derivative of j(i). Factor r(l).\nAnswer: -3*(l + 2)*(9*l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 10*a - 16. Let l be s(-8). Let b = 500\/7 + -71. Is l greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i + 3. Let b be d(2). Solve 5*j - v + 5 + b = 0, 6 = -j + 5*v for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 18 = -4*n. Let l be (-3 + 39\/9)\/((-4)\/(-6)). What is the least common multiple of n and 1*(-1)\/(l\/(-6)*3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(5\/3)\/g*(g\/(g*g\/(g\/g**(-3\/8))))\/g)\/(g**(-5\/6)*g**(-4)))\/(g**(-1\/3)*g**(-5\/3))**(1\/6) assuming g is positive.\nAnswer: g**(125\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 89923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14228*y**5 + 3*y**4 - 2*y**3 - 60*y**2 + 4*y + 21 wrt y.\nAnswer: -853680*y**2 + 72*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -51, -85, -119, -153?\n\"Answer: -34*b - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yjyycydjyjyydyyjy. Give prob of sequence jc.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 8*u**2 - 2*u + 6. List the prime factors of c(9).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-3 + 0 - -6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -2 - 4 - (107 + -94)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -4\/41 and -2\/683 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*t = 164*t - 292*t - 494 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -140 + 186.4. Round y to zero dps.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 0*l + 15. Let f = 96 - 82. Suppose l*d = f + 71. What is the greatest common divisor of d and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2941.98s in nanoseconds?\nAnswer: 2941980000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*c**3*z**3 - 2*c**3 - 64*c**2*z**3 - 112*c - 20364*z**3 - 39000*z**2 wrt z?\nAnswer: 36*c**3 - 384*c**2 - 122184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 26 = 78. Calculate the remainder when p is divided by (-4 - -17) + 2\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.33 + 1.11. Let t = u - 1.78. Suppose 8 = -4*q + 4*x, -5*q + 3 - 11 = -3*x. Is t at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -556 + 281. Let c = 287 + r. Solve -4*w + c = -0*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 194, 83, -28, -139, -250, -361?\n\"Answer: -111*u + 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (450\/(-100)*2\/6)\/(2\/(-14))\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7845587971?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l\/(l\/l**5*l*l))\/l*l*l)\/l)**(-47)*l\/(l**(-11\/5)\/l)*l*l\/(l*(l*l\/((l\/(l\/l**(2\/13)))\/l)*l)\/l*l*l)*l assuming l is positive.\nAnswer: l**(-12132\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 207289 + -42336. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1023744 - 456*y**2 - 511877 - 511867.\nAnswer: -456*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qkqhedemhhkqmkqmh. What is prob of sequence qmeh?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13639 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-6)\/g*g**(3\/14)*g**(-2\/7)\/g*g\/((g\/(g*g**15))\/g) assuming g is positive.\nAnswer: g**(139\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5960.\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u - 10*u**4 - 5*u + 648*u**3 - 651*u**3 in the form c + a*u**4 + k*u**2 + m*u + w*u**3 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = d + 5. Let l(j) = 555. Let k(b) = -317. Let z(h) = 7*k(h) + 4*l(h). Let t(n) = -3*n**2 - 2*n + 4. What is d*z(i) - t(i)?\nAnswer: 3*i**2 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 17515600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48 + 68. Let y be (-2)\/11 + c\/(-11). Let d be (-1)\/y + 85\/(-130). What is the second smallest value in d, 5, -7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1952 a factor of 6318624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(18\/10)*(-55)\/690800*48?\nAnswer: -1\/157","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*c**3 + 69*c**3 - 25*c**3 - 19*c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*x + 3 - x**2 - 5*x**2 - 23 - 4*x**2 = 0. What is x?\nAnswer: 1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/13 + 59232344*z\/13 - 438558821966792\/13.\nAnswer: -2*(z - 14808086)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away -347.953523264?\nAnswer: 347.553523264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.12 - -5.12. Let f be -2*4*4\/208. What is the biggest value in f, p, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 63811.\nAnswer: -8\/63811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 6237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 324*x**2 + 307*x**2 - 37*x**2 - 40*x**2 + 240*x**2.\nAnswer: 794*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 17. Suppose a + 49 - 73 = 0. Let g = t + a. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -4*n**4 - 16*n**3 - 20*n**2 - 8*n = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 6*s - 2. Let x = -7 + 13. Let m be x + 7\/(21\/9). What are the prime factors of z(m)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14546, -14331, -14116, -13901, -13686, -13471?\nAnswer: -13256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.76 rounded to 0 dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38 + 129 + -74 - (0 + 32)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 27\/4 of a microgram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*2\/(-15))\/(1240\/(-930))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -44034 - -105.\nAnswer: -43929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -52*n + 44*n + 71*n**2 + 5*n + (2*n + 0*n + 2*n)*(4*n - 3 + 3).\nAnswer: 87*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90 and 3930?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 k when two letters picked without replacement from {k: 4, g: 2, c: 3, j: 1}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -22 - (25 - 26) - -59?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4 = -2*t, 194 = 2*c - 3*t. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*((h\/(h**8\/h))\/h)\/h*h**(-11)*(h\/((h*h**(-1))\/h))**(-42))**(-1\/10) assuming h is positive.\nAnswer: h**(51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + z = -3*f + 1, -3*f - 11 = -4*z for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -83050530*g**6 + 104*g**2 - 13499*g - 4 wrt g.\nAnswer: -9966063600*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x + 6*x - x + (6 - 2 - 6)*(0 + 2*x + 0) to q + k*x and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2635*h + 117814 + 30413 = -9217*h + 10005 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5\/1572 + -18317\/13362. What is the common denominator of g and -33\/16?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 4*j = -0*z - 2062 + 2044, 4*z + 192 + 74 = -54*j for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10726 and 21700?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (6\/5)\/((-12)\/(-320))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*z + 97 - 157 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(-3) + -3 + -2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 3*c**3 - 741651*c**2 + 45836071320*c + 137514888900 = 0.\nAnswer: -3, 123610","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02171 to three dps.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*c - 15*c - 16*c - 16*c + 66*c.\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*v - 6. Suppose -v*m + 4*y - 20 = -106, 0 = -y + 1. What is the highest common factor of m and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142339.\nAnswer: 37, 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-88)\/(-10))*(260\/(-40) + 4)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/288 and -113\/831552?\nAnswer: 2494656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is b61 (base 13) in base 2?\nAnswer: 11110010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6133, 5567, 25067, 52367?\n\"Answer: 3900*c**2 - 10033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*n + 53 - 57*n + 27*n with respect to n.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1981787266 to the nearest integer?\nAnswer: 44517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*v**5 - 884*v**4 - 49280*v**3 - 48400*v**2 = 0. What is v?\nAnswer: -110, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*x + x**3 - 7 - 8*x + 0*x**2 - 2*x**2 + 1 - 10*x in the form j*x**3 + w*x + y + t*x**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.047 and 678.\nAnswer: 31.866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 458 + -458. Suppose 0 = 3*w - 5*w + 4*j, 3*w + 5*j - 11 = g. Factor -2\/3*m**w - 8*m - 24.\nAnswer: -2*(m + 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 22197 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2089*r - 45985. What is j(-22)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*m = -2*j + 32*m - 20, -4*j + 4*m + 20 = 0. Suppose j = -5*v - 4*g + 1500, 0*g + 306 = v + 2*g. Is v less than 297?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000159188 rounded to 6 decimal places?\nAnswer: 0.000159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -129 - 97. Let d = k - -226.465. Round d to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourteeen ninths of a week?\nAnswer: 15680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 232 (base 12) to base 6.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-18)\/(-60)*-5 + -6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 146ab + -1?\nAnswer: 146aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 357563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 0.1, 3, -0.3, -12?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus -4.204?\nAnswer: -4.404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 18, k: 1}. Give prob of picking 3 g.\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 905*i. Let v(m) = -105*m - 116*m - 115*m + 338*m. Determine v(l(d)).\nAnswer: 1810*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18030*t**2 - 18018*t**2 - 18014*t**2 - 18026*t**2 + 72099*t**2.\nAnswer: 11*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 571.\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -18. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 484144 or 484146?\nAnswer: 484146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000130877 to six decimal places.\nAnswer: -0.000131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (23 + -3)*(-33)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.399 and 7.3.\nAnswer: 24.8127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000007042909 to seven dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 0*v - 39 + 5*v + 44. Let y(z) = 7*z**2 + 19*z - 13. Let x be y(4). Let w = 179 - x. Calculate b(w).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (3 + sqrt(3))) + 3 + (sqrt(3) - (2 + sqrt(3))) + -2)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert b91 (base 12) to base 8.\nAnswer: 3235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*v**3\/5 + 1706136*v**2\/5 + 682452*v + 1706128\/5 = 0. What is v?\nAnswer: -426532, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50.9 - 50.8. What is the closest to f in 3\/4, 2\/7, -4, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 78*h**2*z**4 + 2*h**2*z**3 + 2*h**2 + 2*h*z**4 + 18*z**2 wrt z?\nAnswer: 1872*h**2*z + 12*h**2 + 48*h*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1068*m - 324*m - 529*m + 2208 = 15655 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 5:43 AM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 5*c**2 + 15*c + 1. Let z be b(-7). Let m(u) = 6*u**2 + 7*u + 26. Let j be m(z). Let v = j + 24. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-2\/23)\/c*c*c*c)**(-29)\/(c**(-15))**(3\/4))**14 assuming c is positive.\nAnswer: c**(-47159\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**2. Let b(z) = 7599*z. Calculate t(b(i)).\nAnswer: 115489602*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -411752 - 10*f - 2*f**2 + 411752.\nAnswer: -2*f**2 - 10*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4078800 and 46992?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/7 (b) -2 (c) 5 (d) -152 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38 + -15. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*g - 64 + 15660*g**2 - 7893*g**2 + 78*g**3 - 7822*g**2 wrt g?\nAnswer: 468*g - 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*j, -3*w - j - 3*j + 16 = 0. What is the remainder when (w - 1182\/(-33)) + (-2)\/(-11) is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-29 - 1 - (-67 - -41)) + 1 + 4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23581475?\nAnswer: 5, 863, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 86 + -86.1. Let u = -0.046 - c. Is u >= 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 - -139\/6. Let p(n) be the second derivative of -1\/2*n**2 - n + 0 + t*n**3. Differentiate p(m) wrt m.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 99 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {c: 1, i: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -18 - 8 - 23 + 102 - d. What is g(0)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 divided by 5.\nAnswer: -33\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12012242432 (base 5) in base 13?\nAnswer: 2b1aba6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.37424174 rounded to four decimal places?\nAnswer: -5.3742","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*d - 2*d + 2*n, 5*n = -2*d + 17. Let h(c) = 5*c + 10. Let x be h(d). Let s be (-1)\/(-36) - x\/45. Which is smaller: 2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 305\nAnswer: -1525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 3\/2, -26, 0.06 in descending order.\nAnswer: 3\/2, 3\/4, 0.06, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -1. Suppose 3*p + 3*l = -2*p, -5*p = -3*l. Let d = r + p. Sort -4, d, -3 in descending order.\nAnswer: d, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - 0) + 4 - (3 + -5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/86? (a) -4 (b) 5\/3 (c) 52\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 27*v**3 - 5*v**2 - 14*v - 12. Let t(s) = 11*s**3 - 3*s**2 - 7*s - 6. Let g(i) = 2*n(i) - 5*t(i). Give g(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61\/2 - 30. Suppose -5*v + 10 = -0*v + g, 3*v = -2*g + 6. Suppose v*q + 0 = 2. Which is bigger: q or p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millennium in months?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -33*h**2 - 4*h - 2. Let l be k(-4). Let s be l\/(-14)*11\/242. Let v = 8\/77 + s. Find the common denominator of v and -53\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2. Let i(y) = 147*y**2. Let a(h) = -i(h) - 5*m(h). Let w(q) = 2*q**2. Calculate a(w(c)).\nAnswer: -628*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 6*o**2 - 5*o + 1. Calculate f(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6472 + -6473. Suppose 3*h = 2*h + 3. What is the nearest to j in -0.4, -2, h?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 45748805?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 3:07 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 230 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**2\/2 - 1305*g + 7776 = 0. Calculate g.\nAnswer: 6, 864","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3422292 to the power of 1\/2, to the nearest integer?\nAnswer: 1850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -97 - -124. Suppose 0 = 5*r + u - 225, -r + 24 = -u - d. Calculate the highest common factor of 207 and r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1395\/2*o**3 + 0 + 3*o**2 + 0*o.\nAnswer: -3*o**2*(465*o - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 1:19 PM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 434 - -14?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.77 - -2.851. Let m = -43.0744 - -43. Let y = m + l. What is y rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -496*m - 47. Let w be f(-2). Calculate the greatest common divisor of 45 and w.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 14 (c) 3 (d) 1891.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -9. What is the second derivative of -4*a + 6*a + u*a + 6*a**2 wrt a?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*p + 1 + 1 + 45*p - 6*p in the form w + z*p and give z.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 42 = -2*h. Suppose 0 = 3*l + l - 16. Suppose 0 = r - l*r + h. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 4*t**2 - 224433728*t + 3148156141498624 = 0.\nAnswer: 28054216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 43*a + 377. Determine z(16).\nAnswer: 1065","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**2\/5 - 474*a\/5 - 472\/5 = 0. What is a?\nAnswer: -236, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 268, -2, -9, 7, -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3181112 and 592.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -182, 6, 38\/7?\nAnswer: -182","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7 - 9)*10\/(-4). Solve 12 = -4*y + 5*y + p*v, 4*y - 6 = v for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3904 is divided by 771?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(1331) - (-3*(sqrt(1331)*2 - sqrt(1331)) - sqrt(1331)))**2 + -2 + 3).\nAnswer: -33276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {i: 14, g: 5}?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -117?\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11777\/151 - -78. Let q = 311\/1359 - d. Which is the third smallest value? (a) -170 (b) -0.2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 6*w + 246. What is the tens digit of p(16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u - 5*j - 25, 5*u + 63*j = 59*j - 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/(-16)*1 + (-6516)\/16. Let r = 624 + w. Suppose 2*h + 18 = r. List the prime factors of h.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -48568, -48534, -48500, -48466?\n\"Answer: 34*k - 48602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1)\/(l**(1\/6)*l)*(l\/(l*(l**(-1\/6)*l*l*l)\/l))\/l*l*l**(-2\/9)\/l assuming l is positive.\nAnswer: l**(-47\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 3*z**2 + 3*z + 11. Let y be p(-3). Let t be (20\/2)\/(0 - -2). Which is the second biggest value? (a) -1\/5 (b) t (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 5, -39 in descending order.\nAnswer: 5, -14, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1087 or 1094?\nAnswer: 1087","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -94 + 93.99999996. Round r to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 8 = -8. Let m be (-4)\/18 + 475\/(-9) - w. Let h = m - -1134. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144477 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 9*g - 27*g**2 + 23*g**2 - 7*g + 16*g**4. Let h(o) = -33*o**4 + 9*o**2 - 5*o. Let i(a) = 9*b(a) + 4*h(a). Find the second derivative of i(x) wrt x.\nAnswer: 144*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4414.4637 rounded to the nearest integer?\nAnswer: -4414","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*b - 48 = 13*b + 21*b. Sort 1, b, 0.2, -5.5 in decreasing order.\nAnswer: b, 1, 0.2, -5.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13145 and 14340.\nAnswer: 157740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 1 = -4*a - 5, -4*c - a + 14 = 0. Let g(z) = z**3 - 3*z**2 - 4. Let u be g(c). Suppose u = l + 2. Is 4 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 0 - (-2 - 40\/(-18)). Sort -3, h, 2, -1\/2 in descending order.\nAnswer: 2, h, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 i when two letters picked without replacement from utjjejijgejujjj?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bo when two letters picked without replacement from oafoopboobpoooooooab.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 5*v**3 + v**2. Let b be k(-1). Let n(y) = 62*y**2 - 4*y - y - 126*y**2 + 63*y**2 - 2. Let d be n(b). Solve -d*w = 3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -4*i**3 + 6*i**2 + i - 3. What is d(2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*s**4 + 834*s**3 + 36*s**2 - 7510453*s.\nAnswer: 48*s**2 + 5004*s + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -1251622362?\nAnswer: 1251622364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*t*w**2 + 21*t*w + 347*w**2 wrt t.\nAnswer: 5*w**2 + 21*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-5))\/(19\/(3325\/84))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6547, -6513, -6441, -6313, -6111, -5817, -5413?\n\"Answer: 3*j**3 + j**2 + 10*j - 6561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**2 + 7*h**3 + h**3 + 0 + 4 - 2 to d*h**2 + q*h + l*h**3 + x and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 327967844 or 327967843?\nAnswer: 327967843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d + 9. Let r = -7 + 7. Determine z(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b**3 - 13*b**2 - 4*b + 4. Let n(v) = v - 1. Give h(t) + 6*n(t).\nAnswer: -2*t**3 - 13*t**2 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = 2*q - 55 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**3\/3 - 28*f**2\/3 + 34*f\/3 + 20 = 0.\nAnswer: -15, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 1 (b) -0.4 (c) 46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**2 - 5*n**2 + 7*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 378*k**2 - 188*k**2 - 187*k**2.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/3 - 5327\/21. Suppose f - 3*f = -796. Let h = a + f. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tnt when three letters picked without replacement from {t: 2, z: 4, n: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p + 72 = 24*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 693+-29732.63026\nAnswer: -29039.63026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91, -367, -827, -1465, -2275, -3251, -4387, -5677?\nAnswer: -7115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - 8*q - 2. Let h be (-2)\/4*0\/(-4). Let a = h - 7. Let g be j(a). Solve -4*w - 2*y = -g - 5, -45 = -5*w + 4*y for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14325791 is divided by 14325763?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-59.\nAnswer: 5.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26543188?\nAnswer: 2, 7, 17, 55763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/4 + 1\/(28\/6). Suppose 7 = 2*l + 3*j - 4*j, -j = 5*l. Which is smaller: l or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3902\/15 + -260. Let b = -0.1 - -0.6. Put b, -5, h in decreasing order.\nAnswer: b, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10289*g - 109017 + 160462 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 - 4*t**2 - t**2)*(3*t - 6*t + 4*t)*(-154*t + 154*t + 352*t**2)*(-8 + 5 - 7).\nAnswer: 7040*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3501325 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 6174941*y**2. Let x(c) = -32*c**2. What is b(x(v))?\nAnswer: 6323139584*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 9:08 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 21051553 (base 6) to base 11\nAnswer: 389980","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1066, -1483, -1896, -2305?\n\"Answer: 2*l**2 - 423*l - 645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -36 in 0, 3\/2, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**2)**(-4)*(v**2)**25 assuming v is positive.\nAnswer: v**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hthfhhhttf. Give prob of sequence ttf.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -148 (b) 79.8 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v - 3. Calculate s(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-11 + 7 - -17)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -15 + 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -117.93 - -100.502. What is i rounded to zero dps?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201391064?\nAnswer: 2, 7, 163, 22063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 35\/4 in -17, 1\/8, -4, 87, -8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -5*s**2 + 24*s - 1. Let j be (-8 + 1 + 1)*((-6811)\/147 - -49). What are the prime factors of d(j)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-14)*((-2665)\/41)\/130?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -13.0000004. What is d rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1356 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/51 and -47\/2786045.\nAnswer: 8358135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c = -14*c + 2106. Calculate the greatest common divisor of c and 507.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 154731533 and 129496?\nAnswer: 1237852264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/(-6)*3*-2. Suppose 59 = 3*s + l + t, s = 5*l + 6. Suppose s = -2*r + 6*r. Solve r*z - 3*f = 23, -7*z + 2*f + 20 = -2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -60, -206, -456, -816, -1292, -1890?\n\"Answer: -m**3 - 46*m**2 - m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3526882.\nAnswer: 2, 193, 9137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 2.75184nm?\nAnswer: 0.00000275184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 972 - 975. Let h = 0.06 + 1.44. What is the nearest to 0.1 in w, h, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*d = 22, 0 = -r - 4*d + 2*d - 2. Let k be ((-12)\/(-9))\/(4\/r). What is the third derivative of 0*n**2 + k*n**2 + 6*n**3 + 2*n**2 - 8*n**3 wrt n?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.264542 millennia to years.\nAnswer: 3264.542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -6*j + 2*j + 5*c, 0 = -j - 3*c + 1 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 158876858449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 240 * 0.37.\nAnswer: 88.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21771121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b - -2a60?\nAnswer: 2a53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 5*u + 5*n, u = 2*u + 3*n for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 11*b**2 - 42*b + 4. Let m be o(14). Solve -25 = f + 5*d, f = m*d + 9 + 11 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 191*m**2 - 1. Let f(s) = -25681*s - 1. Calculate f(p(v)).\nAnswer: -4905071*v**2 + 25680","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*((-2)\/12)\/((-43)\/(-129)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 200951300\nAnswer: 3\/200951300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**3 - 25*r**2 - 9*r - 50. Calculate b(13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j + 0 - 24 = 0. Suppose -j*w + 2*n + 13 = 0, 0*n = 2*w - 2*n - 10. What is the first derivative of 186*m**3 + 191*m**w - 20 - 360*m**3 wrt m?\nAnswer: 51*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -46*j + 98. Let l(q) = 30*q - 63. Let s(u) = 9*d(u) + 14*l(u). Let y(g) = -59*g - 4. Determine y(s(c)).\nAnswer: -354*c - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 9*b - 14. Let p be r(10). Let x(h) = h + 9. Let j be x(p). Suppose -2*g + 232 = -j*q + 1024, 0 = 2*q + 2*g - 328. Does 32 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - -4. Let p(o) = 15*o**2 - 41*o**2 + 18*o**2 + l*o**2. Let m(y) = -11*y + 7. Let q(k) = -6*k + 4. Let u(h) = -4*m(h) + 7*q(h). What is u(p(n))?\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a0 + -1a?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 244562*j**3 - 11*j**2 - 10*j + 75. Let l be m(5). Round l to the nearest 1000000.\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 752 - -1645.24?\nAnswer: 2397.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13\/522 or -1?\nAnswer: -13\/522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2886 + -2885.55692. Round x to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 132\/(-18)*(1 + -4). Let s = -26 + z. Sort s, -1, 11 in ascending order.\nAnswer: s, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/119)\/(2\/(-4)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 7 - 1 = 0. Let y(n) = -124*n**2 + n - 2. Let a be y(i). What is a rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of 103*g**5\/120 - 241*g**3\/6 - g + 22. Let l(t) be the second derivative of f(t). Let s(u) = u. Calculate l(s(x)).\nAnswer: 103*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 865033 is divided by 906?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 6:01 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**(-2\/3)))\/s)**(-2\/11)*s**(-6)\/s*s*s\/((s*s**(-4\/3))\/s) assuming s is positive.\nAnswer: s**(-119\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 4:28 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -78.2893*13\nAnswer: -1017.7609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -148*x + 1. Let j be (16\/(-48))\/(1\/3). Is n(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 9, -3, 1, 7857, 4\/7, 1.6?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a gram in milligrams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9074*x**3 + 12912*x**3 - 3837*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of h + 1\/5*h**6 - 4\/3*h**3 + 0*h**2 + 0*h**5 + 0 + 0*h**4. What is the second derivative of z(c) wrt c?\nAnswer: 72*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-38)*6\/9?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 230 and 4715?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1419 divide 10343091?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/74)\/(1\/(-12)). Let o = -52\/777 + k. Is o at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c + 3*c**2 - 2*c - c**2 + 0*c**2 + 5*c**2 + (-2*c + 5*c - 5*c)*(-1 + 1 - c).\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -2*q + 45, -5*l = -6*q - 90. Which is greater: 0.494 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) - -2*1*sqrt(132))\/((sqrt(540) - sqrt(15))\/sqrt(5)).\nAnswer: 6*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4793 is divided by 958.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w + 4*b - 11, -24 = 3*w + w - 5*b for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-153)\/(-92) + 254\/(-8) + 3330\/111?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of 349*o**4\/4 + 4365*o + 5498. Differentiate j(f) wrt f.\nAnswer: 1047*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*u - 4*n = -30*u - 89, -2*u + n + 106 = 0. Suppose 3*h + 4*w = 347, 2*w + 111 = h + w. Calculate the remainder when h is divided by u.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14893.\nAnswer: 53, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2 + 1*sqrt(242) - (-3 + 1*sqrt(242)))*3*-1 + 4)**2.\nAnswer: 5041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*d**2 + 2*d**2 - 19*d**2 + 5*d**2 to v + h*d**2 + j*d and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002513004 to seven dps.\nAnswer: -0.0002513","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63423?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*2 + (-17)\/(-17). Suppose -3*c - 63 = -2*t - 0*c, 4*t + 4*c - 96 = 0. Calculate the greatest common factor of q and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15263 is divided by 5076?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -2 - (12 + -16 + 2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24? (a) -4 (b) -4\/5 (c) 1\/5 (d) -1\/40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6820.398l in millilitres?\nAnswer: 6820398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -56593\/6 + 9454. Calculate the common denominator of 53\/6 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + l - 19 = 0, -2*d + 47*l = 42*l - 31 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11506, -23007, -34558, -46183, -57906, -69751?\nAnswer: -81742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 308541886?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 6*q - 12. Let a be o(4). Let b be (3\/a)\/((-4)\/16). Let t be ((-2000)\/(-30))\/(b\/12750). What is t rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 z when three letters picked without replacement from zwrahrzzzhzrrrh?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8596 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express ((c + 2*c - 4*c)*(25 - 18*c - 25) + (4*c - 4*c + c)*(-c - c + c))*(1 - 1 + 2*c)*(9 + 0 - 1) as p*c + n*c**2 + y*c**3 + q and give y.\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/(-4) + 2 + 14\/(-56). Suppose -9 = -u - 3*j, -2*j + 0*j = -5*u + 11. Let y be (-1)\/(-2)*(1 - 1). Solve y = -u*i + 3*l, m*l = 3*i - l - 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j**4 + 91170794*j**3*m + 44*j**2*m - j**2 - j*m - 81*j - m + 21 wrt j.\nAnswer: 24*j + 547024764*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1534, 766, -2?\nAnswer: -770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4258*p + p**4 - 4269*p + 0*p**4)*(p + p - p).\nAnswer: p**5 - 11*p**2 - 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**2 + 284*a + 13312. Let n be g(-37). Let l = 1640 - 386. What is the greatest common factor of l and n?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -9*b**4\/2 - b**3\/3 - 4*b**2 - 14*b - 145. Is l(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6*(-3)\/(-6) - 112. Let o be -1*(-6 + (s - -2)). Put 5, 4, o in descending order.\nAnswer: o, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, r: 1, x: 6, t: 3}. What is prob of sequence ytxr?\nAnswer: 9\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1280b (base 12) in base 4?\nAnswer: 12030023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -7 - 1. Suppose 0 = -o*y + 3*y + 2. Solve q + y*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-297)\/132*4\/(-3). Put -2, o, 2, -1 in decreasing order.\nAnswer: o, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*n - 16*n - 79*n.\nAnswer: -80*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3763 or 3758?\nAnswer: 3758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -1\/3*s**3 - 7\/2*s**4 - 3 + 0*s + s**2. What is the hundreds digit of r(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3009198 and 465789.\nAnswer: 3351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 1356 and 1355 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9*(3\/9 + 0). Suppose -j*s + 162 = 3*l, -127 = -5*s + 5*l + 183. Suppose 0 = -2*n + s. What are the prime factors of n?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 1717, 2, 0.4, 4, -11 in decreasing order.\nAnswer: 1717, 4, 2, 0.4, -3, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-6\/13)\/(b\/(b**(-1\/34)*b))*b\/(b\/(b**(-2\/35)*b))*b**2*b)**(-20) assuming b is positive.\nAnswer: b**(-106802\/1547)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -36875.\nAnswer: 1\/36875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 7 + 3*h - 2*h**2 + h**2 + 7*h. Let c(i) = -2*i - 4. Let d be c(-6). What is the units digit of t(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -4*t - 2*t**2 + 4*t + 3*t**2. Let n(y) = -22*y - 16*y**2 - 23*y + 45*y. Give -12*j(s) - n(s).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/252 and -1\/15?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, i: 1, b: 1, s: 1, c: 1, x: 2}. What is prob of picking 1 x and 1 s?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 71923 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 0*a - 16 = 5*a, 3*c = 2*a + 11 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -14412, -60827, -171252, -377691, -712148, -1206627?\n\"Answer: -5334*b**3 - b**2 - 9074*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11745.\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -3378124.649 to the nearest one thousand.\nAnswer: -3378000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 5*q**3 - 2*q**2 + q. Let y be l(1). Suppose 0 = s - 3*a - 2 - y, -2*a + 24 = 4*s. Let v = 6 - 2. Calculate the remainder when s is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3368*l**2 - 1020*l + 340*l + 338*l + 342*l + (l**2 + 3 - 3)*(0 + 5 - 3) + 0*l**2 - l**2 + 6*l**2.\nAnswer: -3361*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15691 - 15693. Sort 10, u, -0.03, 1.6, -1\/6 in increasing order.\nAnswer: u, -1\/6, -0.03, 1.6, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001763971417 to 7 dps.\nAnswer: -0.001764","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -567*n + 19467*n**2 - 19450*n**2 + 565*n.\nAnswer: 17*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 9:10 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24822131 is divided by 64?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*r - 1 - 4 + 25*r + 5 + 10*r**2 as j + m*r + p*r**2 and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zn when two letters picked without replacement from znnnhzz?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -40\/7*o - 2\/7*o**2 + 6 = 0?\nAnswer: -21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -19*d + 6. Let a(r) = 6*r - 2. Let g(n) = -11*a(n) - 4*q(n). What is the least common multiple of 22 and g(1)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46461072 a multiple of 1069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2264\/6226)\/(2\/143).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 50.03351 (c) 1\/3 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - (-1 + 10))*-1 + -1. Suppose -4*s = -4 - 8. Solve u = -s*m + 2*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 136 = -2*l - 2*l, 2*d + 66 = -4*l. Let y(z) = z**2 + 4*z - 42. Let w be y(-12). Let f = w - d. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.29, 0.3, 0, 15, -11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of 38 + 0*g**2 + 28\/3*g**3 + 5*g. Let k(o) = -2*o. Determine k(j(q)).\nAnswer: -56*q**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/5)\/(o**(-11)\/o*o))\/(((((o*o**(1\/5))\/o)\/o)\/o)\/(o*o*o*(o\/o**(-1\/27))\/o*o)) assuming o is positive.\nAnswer: o**(460\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10810, -21597, -32384, -43171, -53958, -64745?\nAnswer: -75532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -23b - 3a3?\nAnswer: -611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -349, -1410, -3179, -5656?\n\"Answer: -354*x**2 + x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - 1 - (18 + -9 + -62)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4*((1 + sqrt(847))*-6 + -2*sqrt(847)*5))**2.\nAnswer: 67584*sqrt(7) + 6939776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**(-2\/3)*n*n)**(2\/47))**(-1\/67) assuming n is positive.\nAnswer: n**(-20\/9447)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yzmc when four letters picked without replacement from mmymmmmmczczmzzm.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1207937947 a multiple of 766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 550?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1575 to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.4, -2, 0.5, -1136, -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -297 = 16*q + 71. Let a be -1 + 62 - (-21 - q). Is a < 57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 549*a**2 - 549*a**2 + 80*a**4 + (-2*a**4 - a**4 + 2*a**4)*(0 - 1 + 0) to the form t*a**2 + p*a + x + s*a**3 + z*a**4 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2 + 1 + (3 - 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2 - 1230*o + 31465.\nAnswer: 5*(o - 217)*(o - 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005985 rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24523 minus 1.12?\nAnswer: -0.87477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14 - -14?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 291 a factor of 8410482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that f**5 - 156*f**4 - 3985*f**3 + 11760*f**2 + 92484*f + 76896 = 0.\nAnswer: -24, -3, -1, 6, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 8. Let v = -1240 - -1243. Which is the third biggest value? (a) v (b) 1\/2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = -9 + 39. Find the third derivative of -2604*n**2 - 2*n**g - 3*n**5 + 2601*n**2 wrt n.\nAnswer: -300*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5725 + 5724. Suppose -6 = -3*j + 3*h, -3*j - 3*h + 23 + 7 = 0. Let f be ((-10)\/j)\/((-1)\/(-3)). Which is the third biggest value? (a) f (b) z (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/155 - -13801\/465. Let c = -94\/3 + h. What is the closest to -3 in c, -0.5, 1\/10, -1\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 20. Calculate the remainder when 10 is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 + -19. Let s = -1063.9 + 1063.6. Which is the second smallest value? (a) s (b) k (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 512 + -120.\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 5*r - 20, -4*r + 7*r = 4*w - 16. Suppose -j + 5*b - 3 = -9, 0 = w*j - 4*b + 8. Does 14 divide 9*j\/24*-26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.02324 < 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*v - 2*s = 132*v + 111, 4*v = 5*s + 444. Put v, -0.3, 0.5, -3 in decreasing order.\nAnswer: v, 0.5, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-26)*(58\/(1160\/(-20)))\/((-2)\/(-4))?\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(2 + sqrt(612)) - ((-5 + 1*sqrt(612) - sqrt(612)) + sqrt(612)))*4)**2.\nAnswer: 768*sqrt(17) + 156688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*f = -220*f - 512 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 23*d**4\/4 - 28*d - 53. What is the first derivative of z(h) wrt h?\nAnswer: 69*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3760 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -2\/11, -1353?\nAnswer: -1353","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -193 + 195. Suppose 22*x + 2 = f. Solve x = 7*m + m + 40 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18372, -36693, -55014, -73335?\nAnswer: -91656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 27*((-7)\/4 - (-606)\/808)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 43\/2 - 7\/(196\/42)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-546.5022\nAnswer: 218.60088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.617854154 to 3 decimal places.\nAnswer: 9.618","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -1) + -5 + (-43 - 14)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -321 = -3*q + 678. Suppose 3*n - 2*l = -0*l + q, -2*n + 235 = 3*l. Suppose -3*m + n = 5*x, -m - 31 = -2*m + 5*x. Is m a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10101100010111111101 (base 2) to base 16\nAnswer: -ac5fd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 104\nAnswer: -20.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 77940 + -29884. What is the thousands digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/2*3\/(36\/(-8)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10 (b) 2 (c) 3 (d) 36 (e) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -9*r + 167. Let n be m(17). Suppose 0 = -2*y + 17 + 13. Let l = 19 - y. Solve 0 = -q + 2*z - 5*z - n, z - 4 = l*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3051000 rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195*w = 594 - 2349. What is the remainder when 310 is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -89*87733.5\nAnswer: -7808281.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 18*w - 3. Let v = 23 - 19. Suppose -v*a + 18 + 14 = 0. What is the remainder when b(1) is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -416*l + 415*l = 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4027\/42009 + -6\/737. Find the common denominator of -1\/12 and t.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 - v**2 + 3*v**2)*(-4*v + 4*v - 2*v**2) + 2*v**2 - 2*v**2 + 2*v**4.\nAnswer: -2*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-1260)*-7)\/(1\/(-2))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 10*b + 123. What is the least common multiple of v(-17) and 150\/22 - (-4)\/22?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = -2*m + 6*m. Let k be (30\/m)\/((-4)\/162). Let p = k + -18. Is 2 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 23 (b) 2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 745, 834, 1069, 1522, 2265, 3370, 4909, 6954?\nAnswer: 9577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -8818*o**5\/5 - 185184*o**4\/5 + 1260848*o**3\/5 + 22407396*o**2\/5 - 4691654*o - 15972\/5 = 0.\nAnswer: -22, -11, -3\/4409, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/29 (b) -1\/6 (c) -0.06 (d) -2\/33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-3))\/((-1)\/7*-35).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x - 3. Let s(k) = k**3 - k**2. Let r be s(2). Calculate q(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 0. Let x(n) = -i + 2*n + 2*n - 7 - 1. Let v be x(9). What is the highest common factor of 253 and v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 3)*(-3*b**3 - 2*b**3 + 2*b**3)*(-60*b + 24*b + 16*b) + 2*b**4 + 5*b**4 - 5*b**4.\nAnswer: 122*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in -0.1, -10873, -4, -0.2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 12 - 4)*(-1 + 0 + 2) - 3 + 6 + 1)*(0 + c + 0) to l + t*c and give t.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*a**3 + 18*a**3 - 11*a**3 - 18*a**3 + a**3.\nAnswer: -17*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 384\/(-9) - 39670\/11901?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - 3*b**3 + 2*b)*(98*b**2 + 4*b**2 + 20*b**2).\nAnswer: -366*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 291 (base 10) to base 14.\nAnswer: 16b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 5*u - 97459379 - 33975681, 131435044 = 5*m + 3*u. Suppose -7*v = -m - 2461990. What is v rounded to the nearest 100000?\nAnswer: 4100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -1, 1, 538 in descending order.\nAnswer: 538, 1, 1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 809270885?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 159570691, 159570695, 159570699, 159570703, 159570707, 159570711?\nAnswer: 159570715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3270*d - 611*d + 377*d - 2133*d to f + g*d and give g.\nAnswer: -5637","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 - -27.70236025.\nAnswer: -8.29763975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a meter in centimeters?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - 10. Suppose 5*d + 3*c = 17, 13 = 3*d + 2*d + 2*c. Let t = x - d. What is the remainder when 26 is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - 0 - (13 - 0). Let r be 1779\/4 - 3\/l. Suppose 0*h = -5*h + r. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3087 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccccclccclllccccl. Give prob of sequence llc.\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -86 - -63. Let i(p) = 2*p + 46. Let z be i(g). Sort -4, 2, z in ascending order.\nAnswer: -4, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.5*-0.055\nAnswer: -0.1375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -558 + 1663. Let m be 2\/17 - 4290\/v. Let k be 9\/6*28\/6. Which is bigger: m or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*u**2 + 86686*u + 52008 = 0. Calculate u.\nAnswer: -8668, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -1375*r**2 - 170*r + 85. Let c(v) = 98*v**2 + 12*v - 6. Calculate -85*c(y) - 6*z(y).\nAnswer: -80*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2453, 4917, 7381, 9845, 12309?\nAnswer: 14773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 1 = -4*z, 157 - 160 = 4*g - z for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 39*p - 62. Let f be s(5). Do f and 132 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**9*c\/c**(-6\/19)*c**(-5\/3)*(c\/(c**3\/c)*c)\/c assuming c is positive.\nAnswer: c**(436\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 7 + 29. Suppose -l - 2*l = -4*y + 19, 0 = 3*l + 3*y - h. Is 0 greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2972768891 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 205723*p**2 - 297959*p.\nAnswer: 411446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 44 = -4*d + 10, -2*s + 38 = -3*d. Suppose -2 = 3*y + 3*p - 5, 5*p = -s. Suppose a - 30 = -y. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 4, -2*z - 1216 = -4*z - 3*q. Is z a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1262 and 492.\nAnswer: 310452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41*x + 0*x**2 - 1 + 13*x**2 - 11*x**2 to u + o*x + f*x**2 and give o.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**0*l**3)**22)**30 assuming l is positive.\nAnswer: l**1980","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 708*s + 8 = 712*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = 53*x - 82. What is the nearest to 1 in -4\/5, x, 11, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -40*n**2. Let c(l) = l**2 - 8*l - 126. Let y be c(16). Let k(p) = -11*p**y + 0*p**2 + 16*p**2 - 2*p**2. Calculate k(x(h)).\nAnswer: 4800*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23815853?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1015 divided by 6.\nAnswer: -1015\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 - 6357*a + 146745. Calculate m(23).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 36 - -1a?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -30.945.\nAnswer: 154.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10541.7 times -0.867\nAnswer: 9139.6539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00173113 rounded to four decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/4 + (-803)\/(-22). Let a = y + -28. Let t be (a\/10)\/(7\/35). Solve t*u = -3 - 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 6) to base 4.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 93*f**2. Let q(a) = -93*a**2 - 1. Give -6*p(j) - 7*q(j).\nAnswer: 93*j**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 69298 and -0.03771375.\nAnswer: 69297.96228625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 10:49 AM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7, -2, -7, -28, -71, -142?\n\"Answer: -j**3 + j**2 + 9*j - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.3 - 4. Sort 4, m, 11.\nAnswer: m, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, f: 2, e: 2, r: 1, b: 1}. What is prob of sequence fb?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 91508, 365791, 822852, 1462691, 2285308?\n\"Answer: 91389*y**2 + 116*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*m - 4*p - 2*p = -3*p + 45, -3*m - 75 = -5*m + 2*p + 3*p for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*w - 5251 - 18421. Does 4 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132497?\nAnswer: 37, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/1*26\/(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01 - 151442183.\nAnswer: -151442183.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2 + 6*x**2 - 32*x + 15*x + 15*x. Let j be d(1). Suppose -3*z - 15300000 = j*z. Round z to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 5, s: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 5*f**2 - f - 1. Let o be r(-5). Suppose -5*v + 90 = -3*b, 2*v + o*b = 55 - 19. Does 6 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w = 21*w - 12*w - 299 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of -a**5\/20 + a**4\/24 + a**3\/2 - 22*a**2. Let d(o) = -2*o**2 + o + 2. Let q(m) = 7*d(m) - 5*g(m). Determine q(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*h**4 - 2083985*h**3 + h**2 - 593876 wrt h.\nAnswer: 48*h - 12503910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 62\/279 - (-10)\/(-126)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2326284762?\nAnswer: 2, 3, 181, 2142067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 16 + 2077792?\nAnswer: 20777a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 4181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1*3)\/(-1) - (-5 - 31). Let m = z + -28. Suppose 0 = -2*y - 2*s + 58, 3*s + 212 = m*y + 43. Calculate the least common multiple of 14 and y.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.63 + 0.49. Let x = 0.14 + i. Which is the third biggest value? (a) x (b) -4 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 1 = -3. Let j be s\/3 - (-16)\/6. Suppose -5*r = 4*p - 42, 2*p = -j*r - r + 22. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15444012 at most as big as -15444000?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 80*n**2 - n + 4. Let y be w(6). Let b = y + -2056. What is the hundreds digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 93 (b) 2\/3 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1937087 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -24945607 and 1.8?\nAnswer: 24945608.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccmvmmvmvvvhvmhvvv. What is prob of sequence vvc?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -415 (base 12) to base 7.\nAnswer: -1505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*x**6 - 27521*x**5 + 8*x**2 - 3625*x?\nAnswer: 240*x**3 - 1651260*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/820404 and 49\/936.\nAnswer: 1640808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x\/(x\/(x\/(x\/(x\/(x**2\/x*x)))))))**(2\/11)*(x*x**(-6))\/(x**7*x))**(-19) assuming x is positive.\nAnswer: x**(2603\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114846086.\nAnswer: 2, 2243, 25601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(2736)*1 + (sqrt(2736) - 5*2*sqrt(2736)) + sqrt(2736).\nAnswer: -84*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4263.5725 and -347.\nAnswer: 3916.5725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -11. What is the units digit of 12\/p*(-106)\/3*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 5 + 4 - 1 + 15*p in the form k*p + r and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78 and 1002?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 507089162 to the nearest integer?\nAnswer: 22519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32552720 divided by -860.\nAnswer: -37852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111001101101000 - -11?\nAnswer: -1111001101100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1208552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b**4 + 61710*b**3 + 1848771*b**2 + 3512424*b + 1725360 = 0. Calculate b.\nAnswer: -20540, -28, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of q**7\/5040 + q**6\/120 - q**5\/60 - q**2. Let h(j) be the third derivative of v(j). What is the units digit of h(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3185\/975 + 3\/(46\/4 - 4).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1191, -1299, -1435, -1617, -1863?\nAnswer: -2191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 7:44 AM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ibsgsgsgigbgsgibbg. Give prob of picking 1 b, 1 s, and 1 g.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -10*o - 14. Let t be u(-4). Let l be (-4)\/((-2618)\/429 + 6). What is the greatest common divisor of t and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 16318 + 75?\nAnswer: 1638d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2. Let n(b) = 13*b**3 + 78*b**2. Determine 5*n(u) - 390*q(u).\nAnswer: 65*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -a + 8. Suppose 0 = -a*b - 0*b. Solve f - 3*f + 8 = b for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -324140*m*y**3 + 154386*y**3 wrt m.\nAnswer: -324140*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -5*h**3 - 5*h**2 + 53*h + 2. Let j(v) = -22*v**3 - 21*v**2 + 211*v + 10. What is 2*j(s) - 9*q(s)?\nAnswer: s**3 + 3*s**2 - 55*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1544.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, h: 4, l: 5, f: 3, w: 4}. Give prob of picking 1 f, 1 l, 1 w, and 1 z.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of 1\/60*l**5 + 0*l + 4*l**2 - 1\/6*l**3 + 0*l**4 + 0. Let r be (-4)\/(-6)*(18\/(-12) + 0). Give t(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 5*a - 7. Let f be c(4). Suppose f*d - 9*d - 644 = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y + 11. Let g be u(-8). Sort 2, g, 4 in decreasing order.\nAnswer: 4, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.08 - 0. Let l(k) = 16*k - 1041. Let r be l(65). Which is the smallest value? (a) r (b) s (c) -3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqmqm. What is prob of sequence qmqq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - ((-1)\/7 + (-140)\/49).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of y**5\/4 - 5*y**4\/4 + 5*y**3\/2 - 5*y**2\/2 + 17*y. Solve x(p) = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.0681 + -0.0681. Which is the nearest to -0.01? (a) -3 (b) 2 (c) 5 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.1 times -60?\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -14978, 1.\nAnswer: -14978, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 - -1.3. Let p = y + -4.6. Let r = 3.5 - 3. Which is the second biggest value? (a) r (b) 5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -430150 and -155.\nAnswer: 66673250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 10*k + 14. Let c = -37 + 26. Let r be w(c). Solve -3*v + 15 = r*q, v + 5 = 2*v for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -d**5\/60 + d**4\/8 - d**3\/6 - 4*d**2. Let o be c(2). Sort -0.2, -0.5, o in ascending order.\nAnswer: -0.5, -0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 460 - 990 = -53*d for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 456\/41 - 27063\/2378. Let x = 1\/116 + s. Which is the nearest to x? (a) -0.1 (b) -5 (c) 0.2 (d) 2\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12 and -0.2.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*b = -114. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -13*a + 339. Calculate o(47).\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 401685427?\nAnswer: 11, 13, 61, 46049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b*j**2*p + 3*b*j*p**2 - 2*b*j*p - 3*b*p - 3*j**2*p**2 wrt j.\nAnswer: -4*b*p - 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.172 + -14.572. Let b = -1 - f. Round b to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 245441448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.8 + -5. Put s, -1\/2, 3, 2 in descending order.\nAnswer: 3, 2, s, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11588*-25.\nAnswer: -289700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l. Suppose 0 = -4*s + 152 + 84. Let y(i) = -5*i + 4*i + i + s*i**2. Calculate g(y(t)).\nAnswer: -118*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_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: Let q(c) = 2*c**2 - 10*c + 6. Let t be q(6). Find the third derivative of -3*v**6 - t*v**4 + 18*v**4 - 4*v**2 wrt v.\nAnswer: -360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -8, 5, -4 in decreasing order.\nAnswer: 5, -1, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -18*s**2 + 3*s + 3. Suppose 446 = -225*n + 74*n + 1050. Let v(z) = 17*z**2 - 4*z - 4. Calculate n*t(c) + 3*v(c).\nAnswer: -21*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 2227 = q - 2218, 8 = -5*j + 3*q - 5*q - 7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1602 and 58562?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u - 147532 = -28*u. Suppose -43*v + u + 1628 = 0. List the prime factors of v.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gp when two letters picked without replacement from zgpzgzuzzuzzzpppuzg.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/137770 and 22\/28153.\nAnswer: 6475190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 329 - 181. Let b = d + -56. Does 18 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14404670311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 4:23 AM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7391, 1, 0 in increasing order.\nAnswer: 0, 1, 7391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12479724*p**5 - 969820*p**2 + 9*p wrt p?\nAnswer: -748783440*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Round -15859240 to the nearest 100000.\nAnswer: -15900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-43618\nAnswer: 8723.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 85 and 2465?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -1 (c) 2\/7 (d) -15117.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 104238 and -0.736.\nAnswer: 104237.264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 6*y**2 - 8*y + 1. Let s be c(-7). Let i = s - 0. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t - 961471 + 961471.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 257403?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -51742, -103366, -154906, -206362?\n\"Answer: 42*n**2 - 51750*n - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/7, -2\/3, 1\/4, 6\/157, -2\/383, 2\/9?\nAnswer: -2\/383","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 908435071.\nAnswer: 23, 43, 918539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a + 10. Determine t(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**4 + 2*w - 2*w + (-3 + 3 + 1)*(2*w**4 + 1 - 1) + (9*w - 3*w**3 - 9*w)*(-18*w + 46*w + 13*w) to x + t*w**3 + h*w + j*w**4 + y*w**2 and give j.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -3*w**4\/4 - w**3 - w + 93. Let c(j) = 4*j**3 + 4*j**2 + 1. Give 2*c(k) + 3*r(k).\nAnswer: -k**3 - k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -549508, -1099159, -1648810, -2198461, -2748112, -3297763?\n\"Answer: -549651*m + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 o, and 1 w when three letters picked without replacement from {w: 2, t: 4, o: 1, d: 1, c: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**2 - 3. Suppose 3*c = -2*f + 59, 0 = -5*f - 5*c - 15 + 175. Let o = -40 + f. Let k(s) = -5 + 7*s**2 + s**2 - 11*s**2. What is o*k(x) + 5*p(x)?\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05717 + -0.030320641.\nAnswer: -0.087490641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -389.00257 - -389. What is s rounded to 4 decimal places?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000011 + 11?\nAnswer: -101000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*g**3 + 7*g**2 - 7*g**2)*((g**2 - g**2 + g**2)*(2 - 5 + 2) + (-3 - 4 + 35)*(0*g**2 + g**2 - 5*g**2)).\nAnswer: 1469*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 1 - (47 - 43 - 4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 297 minutes before 6:15 PM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005062146 rounded to 7 decimal places?\nAnswer: 0.0000506","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 2*b**4\/13 - 172180*b**3\/13 - 4649886*b**2\/13 - 37201680*b\/13 - 74405088\/13 = 0.\nAnswer: -12, -3, 86117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.8 - -0.5. Let k = 131 + -132.7. Let c = k - 0.3. What is the third biggest value in -0.4, c, g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1927\/5 (b) -2 (c) -3 (d) -5 (e) 0.5 (f) 0.4 (g) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 7 + 0*l - 47*l**2 - 8*l + 45*l**2. Let g be p(-5). Which is the second biggest value? (a) 4 (b) g (c) 0.1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 710170?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 12635 = -5*m, -3*m + 16772 = 2*k + 4135. Suppose -2*z - k = -2*g + 10432, 0 = -g - 4*z + 8396. What is g rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 222512 (base 8) in base 2?\nAnswer: 10010010101001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -102*c**2*q - 13*c**2*r**3 + 2*c*r - 3*q*r**3 - q with respect to r.\nAnswer: -39*c**2*r**2 + 2*c - 9*q*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 4*s - 23, -4*s = -3*a - 2*s + 19. Let y = 2 + a. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w - 15. Let m(j) = 5*j. Let i be m(-2). Let v be (-64)\/(-12) - i\/15. Is 2 a factor of l(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.3, 0.5, 0, 4, -40122, -2\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -35. Let y = 13792 - 13788. Sort y, -1\/4, b in descending order.\nAnswer: b, y, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 41 - (82 + 47 + -68 - 46).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -94 - -97. Let g be d - (-134)\/(-130) - 2\/1. Which is bigger: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 202501 by 37.\nAnswer: 5473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 500798 or 500796?\nAnswer: 500798","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -712\/98573?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 114835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2450 is divided by 610.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -39*i - 531. Let z(u) = 3*u + 44. Let j(m) = q(m) + 12*z(m). Suppose -3*b - y - 10 = -b, 4*y = -b - 12. Give j(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 4392\nAnswer: 1\/4392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 112, 45, -26, -101?\n\"Answer: -2*p**2 - 61*p + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 1. Let a(k) = -40*k**2 + 2. Determine a(u) - s(u).\nAnswer: -40*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(4\/13)*o**1)\/(o**(-3))**(-19))**(-21\/4) assuming o is positive.\nAnswer: o**(3801\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 13 = -4*f, f - 4*w - 4 = -3*f. Suppose -73 = -f*k + 13. What is k rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1022 - -1021.5. Which is the second smallest value? (a) -1 (b) -854 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a micrometer in nanometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5141219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -29, -0.14, 3, -3\/5, -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 14) in base 7?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 + -2363.8?\nAnswer: -2363.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 242 + -232.1. Let c = s - 1.9. Let z = 13 - c. What is the nearest to -2 in -2\/17, 0.1, z?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10015 (base 7) to base 8\nAnswer: 4555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -192*a - 27955. What is r(-147)?\nAnswer: 269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*i**2 + 49*i**2 - 34*i**2.\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 11:33 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d + -497?\nAnswer: -478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 268944709 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p. Let s(z) = -z**2 + 5*z - 5. Let y(d) = 2*d**2 - 7*d + 7. Let i(l) = -7*s(l) - 5*y(l). Determine t(i(q)).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-47)\/(-15) - (-15)\/(-5).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 19 + (-20 - -20) + -20\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 0*y + 15, -2*i - 4*y = -34. Is 4 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3792200819985623\/2865287759954 - 6\/1882580657. Let j = 2647\/2 - w. Let f = -15937\/16742 - j. Find the common denominator of -91\/12 and f.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 196 = -5*l. Suppose z = -6*z + l. Which is smaller: z or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j + 4*j**2 + 0*j**2 + j to the form t*j + n + k*j**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196*a + 44 - 142 - 110*a - 27*a - 31*a - 27*a.\nAnswer: a - 98","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 11*b - 4. Let g be w(-9). Let h be (-6270)\/(-105) - (-4)\/g. Suppose -4*t - t = -h. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 101*l**2 + 3*l + 55. Let t(k) = -200*k**2 - 5*k - 111. Let v(c) = 5*m(c) + 3*t(c). Differentiate v(d) wrt d.\nAnswer: -190*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -10*g + 154. Let u be d(15). Solve a - 3*n - 11 = 0, -u*a - 4*n = -5 + 25 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 139571560 divided by -27154.\nAnswer: -5140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 25208 smaller than 25208?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 47*l + 290. Let v be q(-6). Solve -v*t + 20*t = -36 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2082 is divided by 67.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8821039*u**4 - 2*u**3 - 35924*u**2 - 66.\nAnswer: -211704936*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1714078 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m + 78 = 28*m. Let k(j) = j**2 - 4*j + 7. Let u be k(m). Solve -7*z - 2*p = -3*z - 6, u*z - 37 = 5*p for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1456514 is divided by 5873.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 w when two letters picked without replacement from zchhywcwozowcooy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 2*z = 0. Suppose 3*a - 2*a - 246 = z. Does 14 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43 and 13\/4244?\nAnswer: 4244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s + 17. Let d(p) = 4*p - 18. Let t(q) = 5*c(q) + 4*d(q). Determine t(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + 25. Let m = f + -28. Suppose 0*g = g, -3*g - 42000 = -m*n. What is n rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -4*c - f - 2*f, -3*c = -2*f - 37. What is the highest common divisor of 77 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20002 (base 3) to base 5\nAnswer: -1124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -3, -2\/3, -1703154, -0.04.\nAnswer: -1703154, -3, -2\/3, -0.04, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -19.\nAnswer: -19, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3794, 7565, 11336, 15107, 18878?\n\"Answer: 3771*t + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*l**2 + 23*l**2 - 10*l**2.\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 9) to base 10\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -630*t + 737 = -1220*t + 657*t for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -658 = 122*c - 28*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2603\/8 - 325. Find the common denominator of ((-2)\/24)\/((-1)\/(-139)) and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 97917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 1712 and 1500 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 231096523\/19195 + -60197\/5. Calculate the common denominator of 30\/349 and m.\nAnswer: 3839","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 12. Suppose a = r + 12. Suppose -4*m + 0*l + 10 = 3*l, -3*m + 5*l = -a. Solve -4*i + 29 = -3*x, -4*i = m*x - 11 + 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 79994 in descending order.\nAnswer: 79994, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -5\/12, -0.07?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 493\/298627 - -7\/1153. Which is greater: -2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -5*i + 3. Let b(j) = -26*j + 16. Let f(a) = 3*b(a) - 16*h(a). Let y(c) = 20*c - 36*c + 25*c. What is y(f(v))?\nAnswer: 18*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jzjjjz. What is prob of sequence jzz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1181*x - 1408*x + 0 - 1 + 7*x**2.\nAnswer: 7*x**2 - 2589*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.4, -4, -1.1, 11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 o when two letters picked without replacement from {f: 1, n: 8, o: 4, k: 5}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 106690580 and 51021?\nAnswer: 5669","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-10))\/(14\/(-140)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*o - 22 - 50, 3*n = -4*o - 109. Let q = 1.6 + -1.7. Is q less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -463, 5, -4, 11, 46 in ascending order.\nAnswer: -463, -4, 5, 11, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192471*n**2 + n + n + 491*n**3 - 2*n - 192497*n**2 - 490*n**3.\nAnswer: n**3 - 26*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - 1) + (636 - 622)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2048887, -2048888, -2048889, -2048890?\n\"Answer: -b - 2048886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/2)\/((-18)\/(-756)). Suppose -2*q + h = -11. Suppose -4*p + 15 = -25. What is the smallest common multiple of p and q?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 6:33 PM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 17, 38, 71, 116, 173, 242?\n\"Answer: 6*q**2 + 3*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (24*k - 378 + 378)*(0 + 1 + 2)*(-11 + 20 - 7 - 7*k) - 4 + 3*k**2 + 4 to f + x*k + c*k**2 and give c.\nAnswer: -501","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1137618081 - 7*a - 1137618081.\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1300))\/(sqrt(324) - -3*sqrt(324)).\nAnswer: 5*sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 174349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, h: 1, d: 1, q: 1, k: 1}. What is prob of picking 1 k and 1 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*n**2 + 79*n**2 + 84*n**2 - 249*n**2.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 7:13 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -25522231 (base 6) in base 16?\nAnswer: -cbe4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 0 + 1)*(-5*n + 2*n + 5*n) + 0 - 3*n + 0 + 3 + n - 3)*(0*n + n**3 + 0*n).\nAnswer: -4*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of 0*z**5 + 0 + 0*z**6 + 1\/2*z**3 + 1\/210*z**7 + 0*z + z**2 + 0*z**4. What is the derivative of r(m) wrt m?\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 564244524.\nAnswer: 2, 3, 37, 149, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 169, 321, 471, 619, 765?\nAnswer: 909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 123?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 12 = 3*z + 4*b, -5*z = -3*b - 30. Let i = z - 10. Which is smaller: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2074260706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 12*r + 60, -290*l - 3 = -288*l - 3*r for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(931) + sqrt(931))*-2 - (sqrt(931) + 1 + sqrt(931) + 4))**2 - (-6*(sqrt(931) + 0 + sqrt(931)) + 1 + sqrt(931)*2).\nAnswer: 322*sqrt(19) + 33524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*z + 38. Suppose 0 = i + i + z. Let j = 16 + i. Calculate the greatest common factor of 3 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -100. Calculate the common denominator of (x\/(-132))\/((-110)\/15 + 7) and 145\/(-7)*91\/(-78).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-10)\/(-4))\/5*8. Let s = 9 - t. Calculate the remainder when 14 is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 207 (base 9) to base 14.\nAnswer: c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2060.\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 + -8 + -4 + 615 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6751436*z**3 + 37891*z - 8.\nAnswer: -40508616*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*i - 2816 = 1966, -2393 = -y + i. Suppose -25*g + y = -20*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 121*c**5 - 1881*c**4 + 3727*c**3 + 3873*c**2 - 3344*c - 2496 = 0. Calculate c.\nAnswer: -8\/11, 1, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 166.3815 weeks in minutes?\nAnswer: 1677125.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-14))\/(200\/1400) - 12.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 49694137?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u - 3. Let p be 12\/(-1)*2\/3. Let m be r(p). Solve 4*n = -n - m for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 - 93\/6)*2. Let r = n - -40. Let u be ((-3)\/6)\/(2\/4). Sort r, -6, u in ascending order.\nAnswer: -6, u, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-4)*(-290)\/87. Solve 14 = d*n - 1, 4*a + 1 = -5*n for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50 + -87. Let r = -26 - w. Calculate the remainder when r is divided by 54\/15 - (-2)\/5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilogram in milligrams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38139274 by 122.\nAnswer: 312617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/8 - 2949\/(-12). Suppose -1212 = -3*k + p. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 363\/(-77) - 4\/14. Let b(u) = -2*u - 7. Let m be b(s). Suppose 4*i = -5*l + 88, -i + 22 = 2*l - m. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 63\/2675?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 - -19. Which is the second biggest value? (a) i (b) -4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-6))\/((-7)\/84). Suppose -3*q = i - 34 + 1, -n = -2*q. Is 21 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 125b7 (base 13) to base 8.\nAnswer: 102236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/4, 0, 59?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 286617 and 2.\nAnswer: 573234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1468 - -1471.2. Sort b, 1, 1\/2 in increasing order.\nAnswer: 1\/2, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/14*(-28)\/8. Suppose 0*h = c*h + 6. Let z = 5 + h. Is 2 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of -m**4\/4 - 20*m**3\/3 + 19*m**2\/2 - 24*m - 27. What is the remainder when 160 is divided by v(-21)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 286 and 220.\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 2*q - 215. Let r = 61 - q. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m + 2*m**4 - 3*m)*(3 + 1 + 3) + 2*m**4 + 4*m**4 - 5*m**4 - 4*m**4 + m**4 + 4*m**4 + (3*m + 2*m - m)*(2*m**3 + 1 - 1).\nAnswer: 24*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -3212\/9589 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2372681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1.4265, -6, -3\/5 in decreasing order.\nAnswer: -3\/5, -1.4265, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2 + 30*n - 61. What is i(-17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -4*x**2 - 20960512*x - 27458941456384 = 0.\nAnswer: -2620064","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*y - 267 + 5016 - 739 + 3095 = 0 for y.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 91555 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 748 - 842 = -4*h, -2*h = 4*w - 74 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11532607 is divided by 367?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001637998 rounded to six decimal places?\nAnswer: -0.001638","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/5 (b) -14 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -19.5 (b) -0.018 (c) -2 (d) -153\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-3)*(0 - -1). Suppose 10 = 2*m - t*m. Solve -3*z - 12 - 5 = -m*s, -24 = -4*z - 5*s for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (4 - 5)) + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4 = 0, -5*d - 1 + 3 = 3*c. Let z be 0\/(-1 - -4)*c. Let q(k) = -k - 6. Give q(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*l - 65 = 60 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 554 = 3*p - x - 124, -5*p + 4*x + 1137 = 0. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/12)\/((-2)\/8). Put -4, a, -1 in descending order.\nAnswer: -1, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.117 and 15479.\nAnswer: 1811.043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 divided by -72113.\nAnswer: -35\/72113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17533.\nAnswer: 89, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*x - 2*x - 513*x + 361*x - 494*x - 494*x.\nAnswer: -1257*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 8:23 PM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2 - 265*j + 5124.\nAnswer: (j - 244)*(j - 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -1 - 3. Suppose 96 = -7*t + 3*t. Let a be ((-4)\/t)\/(1\/(-2)). Is o at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 917 - 253 = -4*o - t, 16 = -4*t. Let m = o + 165. Which is greater: m or -74?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 0*r - 14. Let i be 10\/(-35) - (-30)\/r. Calculate the highest common divisor of i and 24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 20*t + 150. Give r(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1.7, -2\/73, -1.3 in ascending order.\nAnswer: -5, -1.7, -1.3, -2\/73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13.3 - -13. What is the smallest value in -0.5, d, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3498 and 198?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + a + 2*t, -32 = -a + 6*t. Solve -g + 4*g - a*m = 12, -4*m - 10 = g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + 11*i + 9. Let y be d(-10). Let n(t) = -t**2 - t - 1. Let w(o) = o**2 + 2*o + 2. Give y*w(u) - 2*n(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 240 = 2*z - 33, 4*z = 2*j + 522. Suppose -a = -5*f - 25, 6*a + 3*f = 3*a + z. What is the greatest common factor of 8 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 33*i = 28*i + 75021, 5*i - 375065 = -5*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**5\/(f\/(f\/(f*f\/f**(-1\/7)))))\/((f*f*f**(-1)*f)\/f**(5\/4)) assuming f is positive.\nAnswer: f**(59\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23.46 + 0.46. Let n = 21.9 + u. Let i = -93 - -95. Is i at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -73, -0.5, -0.4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 3, 4*r = 3*r + 5*i + 26. Suppose 2*m - 3*f - r = 0, 1 = 2*f + 3. Calculate the smallest common multiple of m and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away 24884.3?\nAnswer: -24883.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 48*l**2 - 16*l**2 - 236*l**3 - 17*l**2 - 231 - 13*l**2 - 43 wrt l.\nAnswer: -708*l**2 + 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - y + 3. Let q(j) = 9*j. Let z be q(3). Suppose 5*c = -z - 8. Let m be (-3)\/(-6) - c\/(-2). Give l(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*2\/6*111. Let o = w + -31. Factor o*r - r**4 + r**2 - 7*r + 0*r**4 + r**3.\nAnswer: -r*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/59748 and -37\/23363.\nAnswer: 3644628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*sqrt(152) - ((sqrt(152)*-2 + sqrt(152))*6 + sqrt(152)))\/(-6*(sqrt(64) - (sqrt(64) + sqrt(64)*1 + sqrt(64)) - sqrt(64))\/sqrt(8)).\nAnswer: -5*sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -56*n + 1471 + 4*n**2 + 1395 - 2926.\nAnswer: 4*(n - 15)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 = -5*d - 4*w, -1055*w + 1051*w = 2*d - 78 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 1240*c**2. Let f(y) = -2*y. What is f(v(a))?\nAnswer: -2480*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -213 - -218. Let a(s) = 26*s**2 + 3*s + 4. What is the remainder when a(f) is divided by 61?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 - 3)*(51*n + 10*n**3 - 51*n) to g*n**2 + d + x*n**3 + h*n and give x.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(((-24)\/126)\/((-20)\/(-15))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of 691*a**6\/10 + a**4 - 19*a**3\/3 + a**2 - 7358*a - 1. What is the second derivative of p(w) wrt w?\nAnswer: 49752*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 72408607 to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1276*u**2*v**3 - 934*u**2*v**2 + 4541*u*v**3 - 114*u wrt u.\nAnswer: 2552*v**3 - 1868*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 114 + -109. Suppose 0 = -3*l - w + 11. Solve -3*p = -c + 9, -14 = -6*c + l*c + p for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 - 4 + 10)*(-d + 0*d + 0*d)*(-18 + 21 + 14).\nAnswer: 391*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 10*x - 133 = 5*n, -4*x = 2*n - 254. Calculate the highest common divisor of 112 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7993*v**6 - 5*v**4 + v**2 - 13492?\nAnswer: -959160*v**3 - 120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42997158413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.1 and -0.033?\nAnswer: 3.067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12040 to the power of 1\/2, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -149021 + 149017. Suppose 0 = 5*z - 18 + 3. Suppose 2*t - 6 = -2*r, -3*r + 11 = 4*t - z*t. Sort -3, 15, t, x.\nAnswer: x, -3, t, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**3 + 14424*r**2 + 57660*r + 57648 = 0.\nAnswer: -4804, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 4:22 AM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**5 + j**2 - 78479 + 78479 + 2*j**5 - 2*j**5 - j**5 + (-j**3 + j**3 - 2*j**4)*(3*j + 2*j - 7*j) + j**5 - 1 + 1.\nAnswer: 7*j**5 + j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 335282380 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) -0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 13, r: 3, j: 3}. What is prob of picking 1 r and 3 v?\nAnswer: 143\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -747.341 to the nearest ten.\nAnswer: -750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 10, -2, -7223 in increasing order.\nAnswer: -7223, -5, -2, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 953 - 945. Calculate the remainder when 90 is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 720 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*2*1\/2. Suppose 69*a - 74*a + 740 = 0. Suppose a = -32*r + 20. Sort -1, r, p, 4.\nAnswer: r, -1, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f**2*o*v**2 + 2*f**2*o - f*o - 1131656*o*v**2 + 3*o*v - 3*o + 16060*v wrt v.\nAnswer: 4*f**2*o - 2263312*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -v + 2*g, 3886*v + 2*g = 3890*v + 10 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*s - 3*p + 19, -10 = 2*s - 5*p. Suppose 0 = -z - 4*z + 20. Suppose 1 + 2 = 3*y. Put s, y, z in increasing order.\nAnswer: s, y, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, n: 6, j: 1, u: 1, c: 3}. What is prob of sequence jcn?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13535045 - 7031139. Suppose 39683906 = 6*u + m. What is u rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2637 or 2636?\nAnswer: 2636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26129466 and 782595?\nAnswer: 9207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15106.\nAnswer: 2, 7, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5313 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.429 (b) -1\/4 (c) 142 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(912))\/sqrt(3))**2.\nAnswer: 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a hour in minutes?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**3 - 5*u + 3*u - 3*u**3)*(-1 - 2 + 4)*(31*u + 29*u - 73*u).\nAnswer: 26*u**4 + 26*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19223 = k + 5*v, -77*v = -5*k - 73*v + 95912. Does 18 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t + 3. Let l(n) = 2*n - 4. Give 5*l(c) + 4*r(c).\nAnswer: -2*c - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*x = 55*x + 40*x - 6017 - 2175 for x.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of 0*k**3 + 7\/20*k**5 + 0*k**2 + 4\/5*k**6 - 2*k + 1\/18*k**4 + 9\/14*k**7 + 0. Factor t(u).\nAnswer: u**2*(3*u + 1)**2*(9*u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -11. Let n(g) = g**3 - 4*g**2 + 2*g - 5. Suppose -3 = -j - 4*h + 17, 0 = h - 4. What is the remainder when f is divided by n(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3 = 1. Let u = 187\/21 + -28\/3. What is the closest to 0 in h, -10, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5310 + -21239\/4. What is the biggest value in 1, h, -3, -26, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/2*g + 0 - g**3 + 9\/4*g**2 = 0. Calculate g.\nAnswer: 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -124.85 * -3\nAnswer: 374.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + (-15)\/6 + 266\/4 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 5064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54311a (base 11) to base 3.\nAnswer: -1122002121110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.764864 and -0.1.\nAnswer: 0.664864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 8 = 5*j. Let k(d) = -4*d**2 + j - 7*d - 1 + 1 + 1. Let b(t) = -2*t**2 - 4*t + 2. Let p = -6 - -10. Calculate p*k(q) - 7*b(q).\nAnswer: -2*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 880 and 330.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 317 * -0.559.\nAnswer: -177.203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r - 58. What is c(10)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.44509849 rounded to three dps?\nAnswer: -32.445","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 0, 4*k - 5 = -d + 3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 92737225, 185474451, 278211675, 370948897, 463686117?\nAnswer: 556423335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3591872 and 192.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 125*s - 326*s**2 + 235*s + 320*s**2 to the form u + w*s**2 + o*s and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*(-10)\/60*(-12)\/(-63).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.02 - 0.52. Let z = -37 + 28.9. Let q = -5.1 - z. Put 1, 0, q, k in decreasing order.\nAnswer: q, 1, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4149 times 0.4\nAnswer: 1659.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -801 - -64883\/81. Which is bigger: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33968 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2860, -19146, -62298, -145750, -282936, -487290, -772246?\n\"Answer: -2239*i**3 + i**2 - 616*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - 9*r + 5. Let y be a(-9). Suppose 3*t - 139 = 116. Suppose -4*d - d + 5*u = -t, -y*d - 2*u + 50 = 0. Does 12 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-25)*(-15)\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44576 = -691*g - 936*g + 458*g - 224*g for g.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 6 = 3*v, 28*v = -4*l + 25*v. Solve 5*k - 2*n = 5, 5*n = -l*k + 14 - 11 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-30)*x)\/x**(11\/4))**(-6) assuming x is positive.\nAnswer: x**(381\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1*(0 + sqrt(99))**2 + (sqrt(99)*-2 - sqrt(99)) + 2).\nAnswer: -485 - 45*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.36 - -0.06. Let y be 6\/15 + 21\/(-35). Let q = 0 - 3. Sort q, y, p in descending order.\nAnswer: y, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d**3 + 37*d**2 - 73*d - 158. Determine a(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12 - 41)*1\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5*5 + -361 + 1574?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 181 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(99)*-2*-4*-6)\/(5*((sqrt(99)*-1)\/sqrt(11) + sqrt(9) + 3*sqrt(225))).\nAnswer: 16*sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 1:26 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of o**4\/12 - o**3\/2 + 2*o. Let r = -2 + 6. Let n be l(r). Solve 2*c - n = c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-9*l - 6*l + 4*l)*(3*l + 2 - 2) + 8 + 5*l**2 - 8)*(l - 4*l + 5*l) to the form g*l**3 + j + i*l**2 + n*l and give g.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*m**3 + 29*m**3 - 17*m**3.\nAnswer: 36*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 141*i + 481. Let z be d(33). What is the greatest common divisor of 17 and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 950037.7 decades?\nAnswer: 9500377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 475916?\nAnswer: 2, 7, 23, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 2*x + 370, 2*w - 155 = 5*x - 0*x. Suppose 4*f = 2*c - 4*c + w, 5*c + 5*f = 205. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 4:55 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5413*h**2 - 1519*h**2 + 228*h**2 + 5017*h**2 to l*h + q*h**2 + x and give q.\nAnswer: 9139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.4697 - -0.4697. What is the third smallest value in j, -5\/3, -11, 5, 10?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3fe5eb (base 16) to base 11\nAnswer: -2400254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 79*r + 1210. What is v(-18)?\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 37 = 13*r. Let f(w) = w**3 - 1 - 2*w**3 + 4*w**3 + 3 + 6*w**2 + w - 4*w**r. What is f(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -630 - -3769. Suppose -q = -16*b + 621. What is the remainder when b is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*-2*1\/2. Let s(o) = -o - 9. Let h be s(-10). Let a(l) = -h - 1 + 2*l + 3. Give a(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 186, 2173, 4 in increasing order.\nAnswer: 4, 186, 2173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10, 11, 44, 89, 146?\n\"Answer: 6*z**2 + 3*z - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 14 = 26, 2*s = -4*h - 1200. Let g = -145 - h. What is the remainder when g is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -65634 + 103116. List the prime factors of m.\nAnswer: 2, 3, 6247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, 147, 3, -2, 0, -6.\nAnswer: -43, -6, -2, 0, 3, 147","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from miamgwamm. What is prob of picking 1 w and 2 a?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 4 = -q + 2*n, 3*n = 0. Let y = 9 - q. Let o(b) = 22*b - 3. What is the units digit of o(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 less than or equal to 174?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37010, -73599, -110188, -146777, -183366?\nAnswer: -219955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 3*j**2 + 2*j. Let w = 7 + -3. Suppose v - 4*q = -4*v - 38, w*v + 55 = -5*q. Let g be 4\/1 - v\/(-5). Calculate c(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 368319.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 11, d: 1, w: 1}. What is prob of picking 1 w, 1 d, and 1 n?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1069, 546, -867, -3614, -8139?\n\"Answer: -74*a**3 - a**2 - 2*a + 1146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-3))\/(3\/441). Suppose -377 = -2*t + f. Suppose 2*i + 45 + 80 = j, -2*j + i = -t. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 5*m**2 - 4*m + 6. Let u be c(4). Let t be 2 - ((0 - 2) + 1). Let r(k) = -3*k + 4*k**2 + 2*k**3 - 4*k**3 + k**t + u. What is r(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/4)\/(2\/374832). Let t = w + -139408. Round t to the nearest one thousand.\nAnswer: -46000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*d**2 - 5*d**3 + 33*d**2 + 39*d**2.\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-2 + 6 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12991 or -12988?\nAnswer: -12991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 351*1.3\nAnswer: 456.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39 - -41. Suppose -z*u = 7*u - 540. Let j = u + -30. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-5))**25)**(2\/7)*((z**5)**(2\/21))**(-3\/37) assuming z is positive.\nAnswer: z**(-9260\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 421647836 or 421647834?\nAnswer: 421647836","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*k**2 - 18*k**2 - 18*k**2 + 14*k**2.\nAnswer: -34*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 1 - 95*d**2 - 97*d**2 + (-2*d**2 - 3*d + 3*d)*(-3 + 4 + 0).\nAnswer: -194*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**4*c*c**(-3))\/(c*c\/(c\/(c\/(c\/(c\/(c*c\/(c**(1\/2)\/c))*c*c)*c))))**(-14\/9))\/((c**(3\/4)\/(c**(-2\/5)\/c))\/(c**(-1\/3))**(4\/23)) assuming c is positive.\nAnswer: c**(2359\/4140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 240.0648 - -0.0352. Let b = d + -150.2. What is b rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.7035 - 58.8565. What is s rounded to the nearest integer?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, i: 2, o: 9}. Give prob of picking 1 r and 3 o.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6435 (base 15) in base 12?\nAnswer: 10328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 56. What is the common denominator of (2\/40)\/1 - (-50 - t) and -77\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**2 - h - 2. Let j(s) = 22*s**2 - 8*s - 13. Determine -7*d(v) + j(v).\nAnswer: 8*v**2 - v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -153*l*z**3 - l - 4*z wrt z.\nAnswer: -918*l*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(85) - (sqrt(85) + (sqrt(85) - sqrt(85)*2) + sqrt(85)))\/sqrt(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1897211 is divided by 1951.\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1881 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -2*c**4\/7 + 38*c**3\/7 - 94*c**2\/7 - 38*c\/7 + 96\/7 = 0.\nAnswer: -1, 1, 3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204 = -4*s - 200 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0161 rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*v = v + 9, 4*d = 2*v + 12. Suppose 0 = 2*b - 5*g + 2*g + 5, d*b + 9 = 5*g. Let u = -5 - -8. Solve 10 = -u*y - q + 5*q, -4 = 3*y + b*q for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*c + 12*c - 99 = 0, 15*c - 309 + 126 = -5*j + 21*c for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 97 + 43\/2*o**2 + 0*o - 20\/3*o**3 + 1\/2*o**4. What is the second derivative of z(a) wrt a?\nAnswer: 12*a - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/126 or 0.3304?\nAnswer: 0.3304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -2*j - 3, 5*x + 0*x = 2*j + 1. Let q(u) = 2*u**3 + 2*u**2. Let d(m) = 7*m**3 - 5*m**2 - 12*m. Let y(l) = j*q(l) + d(l). Determine y(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence no when two letters picked without replacement from {o: 4, r: 2, n: 8}?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a meter in centimeters?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 31*i**2 + 158*i + 512. Is s(117) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7198?\nAnswer: 2, 59, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 54, 287, -2, -11, -5, -7, -3 in increasing order.\nAnswer: -11, -7, -5, -3, -2, 54, 287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/352 and 43\/48.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-30)*(-1120)\/(-192)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3.1 and -193.\nAnswer: -196.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (92\/(-345))\/(1\/(-15)). Let t(j) be the second derivative of 0*j**3 + 0*j**2 + 0 + 3\/4*j**c + 38*j. Let w(s) = 5*s. Determine w(t(b)).\nAnswer: 45*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*h**3 + 3*h - 3*h + h**2 - h**2 + 5*h**3 - 4*h**3 + 2*h**3 + h**3 + (0*h**3 + h**3 + h**3)*(-3 + 2 + 0).\nAnswer: -22*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*u**2 + 3*u**2 + 1 - 4*u**4 - 4*u**4 + 2*u**4 - 2*u**3 to the form k*u**4 + x + p*u + i*u**2 + j*u**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 235.3742mm?\nAnswer: 0.2353742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -8 (c) 7 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1343 or -0.42213?\nAnswer: 1343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*r**3 - 6 - 2 - 16 + 24.\nAnswer: 38*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -361*i**2 + 660*i**3 - 2 + 663*i**3 - 1322*i**3 + 2.\nAnswer: i**3 - 361*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 9*f - 152754 = 0. 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 n and 1 k when two letters picked without replacement from {n: 1, e: 2, h: 11, c: 2, k: 1, p: 1}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/((9\/14)\/9). Suppose m = -3*n + 443 + k, 5*n = 2*m - 887. What is the greatest common factor of 57 and m?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (92 + 82 - 175 + 89*u)*(5 - 5 + 1)*(-2 + 2 + u).\nAnswer: 89*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 + 214*g - 212.\nAnswer: -2*(g - 106)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 56, 858, 3522, 8978, 18156, 31986, 51398, 77322?\n\"Answer: 155*t**3 + t**2 - 286*t + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -487*g - 24841. What is o(-51)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.142 and -1?\nAnswer: -0.142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 514 - 505. Solve -35 = -u*k + 2*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 17966 = -3454. Does 10 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96830 and 1150.\nAnswer: 484150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiibyyiybxiybi. Give prob of sequence byyx.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 8*l**2 - 52*l - 320. Let o be u(-7). Which is the nearest to 0? (a) 6 (b) -0.1 (c) 0 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232693017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 377782240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 294348 + -294336. Calculate the remainder when (-569)\/(-7) + 2\/(-7) is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1083? (a) 1 (b) 3.3 (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 i, 1 o, and 1 a when four letters picked without replacement from katakoi.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (20\/5)\/(-8)*-32. Suppose -20 = -4*o, 5*g = 3*g + 4*o - q. Suppose 0 = -g*c + 3*c + i - 61, 314 = 5*c - 4*i. What are the prime factors of c?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h + 10. Let c = 0 - -7. Let l be u(c). What is the third derivative of -7 - a**2 + l*a**3 + 7 wrt a?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 7*b - 81 = 5*s, -87 = -3*b + 3*s. Suppose b = -7*m + 3*m. Let z(a) = -2*a**3 - 10*a**2 + a + 3. Is z(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 j when three letters picked without replacement from {g: 2, b: 7, j: 5}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2844 and 12008?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/9 - ((-1)\/3)\/1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 8:42 PM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of z**4\/12 - 4435*z. Let i(s) = 12135*s. Give p(i(d)).\nAnswer: 147258225*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/10, -1, 0.138, -0.53 in descending order.\nAnswer: 0.138, -1\/10, -0.53, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16\/11 - 613\/550. Is r smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1838?\nAnswer: 2, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -90 - -106 - (0 + 0 + 0)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/34 - 9\/17. Let b = -148 - -161. Sort z, b, 1\/3 in decreasing order.\nAnswer: b, 1\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**1\/(h*h**(-14)*h*h*h) assuming h is positive.\nAnswer: h**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 370910 and 493?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3812553?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -25*b - 1. Let i be -4 - (3 - (2 + 4)). Let r be (i + 0)*(-1)\/(-1). What are the prime factors of a(r)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19.4 + -19. What is the second biggest value in -1, 1\/4, u?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(130)*-1*-5)\/sqrt(10).\nAnswer: -2 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -72*f**3 - 2*f**2 + 42*f + 40. What is h(-1)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (23 + -38)) + 6?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -121222 (base 3) in base 7?\nAnswer: -1223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-8)*s**(3\/4))\/(s**(14\/5)*s*s**(6\/11)) assuming s is positive.\nAnswer: s**(-2551\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0055968 take away 0.02724?\nAnswer: -0.0328368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -2*v - 1 + 0*v**3 - 1\/90*v**6 - 1\/18*v**4 - 1\/20*v**5 + 0*v**2. Let m(g) be the first derivative of o(g). Factor m(w).\nAnswer: -w**2*(w + 1)*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -5, -3, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2*r + 1)*((2 - 2 - 7*r)*(2 + 4 - 3)*(2*r - 2*r + 3*r**2) + 46*r**3 - 12*r**3 + 6*r**3) in the form w + f*r**2 + x*r**3 + b*r**4 + u*r and give b.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.7 + -2.3. Let j = -167.92 - -172. Let t = j + -0.08. What is the biggest value in 0.2, c, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 128\/969 - 5\/114. Suppose -5*g = -6*g. Which is bigger: g or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -4. Suppose -49 = -4*w - x, d*x - 69 = -4*w - 0*x. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76179 divided by 10?\nAnswer: 76179\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1903*-0.73\nAnswer: 1389.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4*q = 4*o + 8, 5*q - 4*o = 56. Suppose 0*d - q = -4*d. Find the first derivative of 7*g**3 + 11*g**4 - 4*g**3 + 25 - d*g**3 wrt g.\nAnswer: 44*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -172*p - 156 + 289\/2*p**2. Differentiate r(u) wrt u.\nAnswer: 289","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2010210220211 + 200020?\nAnswer: -2010210020121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18435.9 smaller than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 563160?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51864580 divided by 2.\nAnswer: 25932290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + i + 4. Is ((-1)\/((-2)\/236))\/i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -985193 = -40*u - 114713. Does 18 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131 = 223*y - 3432 - 1159 for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 11:26 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -76 or -538984?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5705934889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**3 - 14 + 23 - 9.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -202, -200, -206, -226, -266, -332?\nAnswer: -430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0511883 and 199696141.\nAnswer: 199696140.9488117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 12*m - 36. What is g(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -1160*p**2 - 3*p - 12. Let n(j) = -96286*j**2 - 248*j - 992. Calculate 3*n(c) - 248*s(c).\nAnswer: -1178*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.67 - 1.68. What is the closest to s in 4, 2\/15, 3\/7, 2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t + 3920 = 3854. Let v(o) = 11*o + 18. What is v(t)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -45.6, -2\/7, 5, 3\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-488)\/(-2196)*54\/(-76)?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -35*w + 3257. Let a be d(93). Let t(s) = -69*s + 5. Let b(x) = 35*x - 2. Calculate a*t(k) + 5*b(k).\nAnswer: 37*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29 - 79)\/(-9) + 3 + 1 + -30.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*a - 466941 + 168930 = 0. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1749.6 (b) -3\/2 (c) -2 (d) 115\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 0*j**2 + 5*j - 11*j - 2*j + 26. Calculate the remainder when 66 is divided by b(-9).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1 + sqrt(242)) - sqrt(10)\/((sqrt(45)*3)\/sqrt(9)))**2.\nAnswer: -1660*sqrt(2)\/3 + 55337\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 2*c + 9 = -3*f, -5*f + 15 = 5*c. Solve 2*k + j - f = 0, 11 = -74*k + 77*k - 5*j for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 4\/5 (c) 0.1 (d) 169 (e) -0.12924\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 1. Let j be (-10)\/(3060\/221) + 4\/18. Which is the closest to j? (a) 7\/8 (b) u (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 78, -4, -3 in descending order.\nAnswer: 78, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-18)*5\/5*2\/((-10)\/(-335)).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-176)\/(-20)*4\/((-40)\/25)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56073, 5, 4.\nAnswer: 4, 5, 56073","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1862.7814 rounded to the nearest ten?\nAnswer: -1860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22*d*f*k - 5030*d*f - 56*d*k - 6162*f*k + 8*f + 2*k - 58 with respect to d.\nAnswer: -22*f*k - 5030*f - 56*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, v: 7, a: 3, d: 1, z: 4, n: 2}. What is prob of picking 2 a, 1 d, and 1 v?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/117 and 7 - (0 + 2) - -3*(-1989)\/1394?\nAnswer: 9594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000442002 rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -j**5\/20 - 19*j**4\/12 - j**3\/6 + 22*j**2 - 22*j. List the prime factors of t(-19).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2519083601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9804 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a microsecond in nanoseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/10520 and 43\/12?\nAnswer: 31560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(2200)*2*-5)\/(5*1*sqrt(1584) - sqrt(1584) - sqrt(1584)))**2*5.\nAnswer: 6250\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*2\/(-294)*(-30)\/5. What is the third biggest value in -0.3, -9, l?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.9425 and -0.1.\nAnswer: -0.29425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5373761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 105 - 100. Is 4 a factor of (-378)\/(-10) - l\/(-25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 22 from -18966.\nAnswer: -18988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 68\/211 or -1?\nAnswer: 68\/211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 60\/((-1)\/((-4)\/3)). Let g = f - 56. Does 6 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1402996030 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 2 = 2*q. Sort q, 3, -5, -2.\nAnswer: -5, -2, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 87\/(-12) - 1\/(-4). Let g = -5 - f. Suppose -4*t + 2*u + 4 = 0, -g*u + 14 = -2*t + 3*u. Solve 0 = -t*p - 15, -4*p + 0*p - 8 = -4*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 + -27. Solve -i = -3*a - 9, 0*i + 3*a + 15 = t*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1846712507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-164)\/(-60) - (-26)\/(-390))*(-6)\/8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, -3, 54986, 5\/3, 1\/8?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 35.6 and -0.4?\nAnswer: -14.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 589 divide 40052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-230)\/(-75) - (-646)\/(-114).\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 35112.\nAnswer: 35112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -22892790.1 to the nearest one million.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 437\/5 - (-2)\/(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -161561, -161560, -161559, -161558?\n\"Answer: m - 161562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 385961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 2*h**2 - 3*h + 16. Determine g(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 2:55 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21264 is divided by 6997?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50*f**2 + 13 - 116*f**2 + 2*f + 64*f**2 to the form m + o*f + h*f**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 115 - 115 + m. Let c(p) = 14*p**2 + 2*p. Let w(r) = r**2 + r. Let b(t) = -c(t) + 2*w(t). Give x(b(a)).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(192) - sqrt(192))\/(sqrt(32)\/(sqrt(32)\/sqrt(4))) - (1*((sqrt(21) - sqrt(84)\/sqrt(4)) + sqrt(21)))\/(-2*sqrt(448)).\nAnswer: 129*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-36 + 4)*3\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11001001100101001111 (base 2) to base 15.\nAnswer: -1149a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 - 3*g**2 - g**2)*(-36 + 197 + 29).\nAnswer: -190*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-18)*(1 + -10). Which is the fourth smallest value? (a) r (b) -0.2 (c) -2 (d) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 74 + -71. Let b(q) = -3*q - 4. Let v be b(-3). Let t = v + x. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -12, 0.19, -2499, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43.1 + 43. Which is bigger: g or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 138.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 6a2?\nAnswer: 6a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -187 from 0.018.\nAnswer: 187.018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -327, -443, -555, -663, -767?\n\"Answer: 2*r**2 - 122*r - 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 469 is divided by 457?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -5 - (-6 + 15\/35).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 121 and 308.\nAnswer: 3388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -253218 + 613218. What is n rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 191\/3 + -64. Which is the closest to h? (a) -4 (b) 8 (c) 2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2*d = 433, -3*d - 179 = -2*i + 2*d. Suppose -63 = -3*c + 3*k, -5*c + 3*k + i = -24. Does 24 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*p**3 - 26*p**2 - 20*p.\nAnswer: 2*p*(p - 5)*(3*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*m**5\/9 - 32*m**4\/9 - 92*m**3\/9 - 112*m**2\/9 - 16*m\/3 = 0. Calculate m.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 716.4 and -108.\nAnswer: -77371.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.5 + -0.5. Let t = r - 3.8. Let g be (1 + 0)\/(16\/(-8)). Which is the biggest value? (a) 1\/4 (b) g (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34 - 51 - -4) + -25.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -185, 13391, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 101000111000 (base 2) to base 3\nAnswer: 10120220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(272))**2 + 1.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-4) + (-10)\/8. Which is the nearest to 37? (a) -1\/7 (b) 1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 12*j**2 + 45*j - 131. Give n(5).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2337, 2338, 2339, 2340, 2341, 2342?\nAnswer: 2343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 165 (b) -3 (c) 5 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 228*k + 185. Let p(j) = 76*j + 61. Let m(i) = -8*p(i) + 3*y(i). What is the hundreds digit of m(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -3309141919548.1?\nAnswer: -3309141919548.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((315\/(-6))\/(-7))\/(13*4\/104)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -839*c + 10949. Calculate r(13).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2089 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2010 (base 3) to base 16\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-17)\/(1\/(2\/(12\/6))). Does 17 divide (-6 + -1 - 0)*m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54 times -2.943\nAnswer: 158.922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from orrqrroqqrq?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 58 in 0, 3\/8, -0.1?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 725147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 291*x - 34846. Calculate j(120).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111010101 - -101?\nAnswer: 1111011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1420 and 24.\nAnswer: 8520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 2, 3\/8, -63\/10, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/(-36)*1*(-4)\/(104\/2)?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -9*q - 309. Let h be u(-53). What is the greatest common divisor of 616 and h?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3792 - i - 3792.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 8:17 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4*g**2 - 7*g - 6. Let t be u(-1). Suppose t*m - 263 - 542 = 0. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 34*y - 1. Let h(w) = w**2 + 3*w + 1. Let a be h(-3). Let i be t(a). Suppose -u - i = -x - 4*x, -5*u = -3*x + 33. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + -17. Suppose 2*r = 2*f - 64, v*r = 3*f - f - 58. List the prime factors of f.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 b, and 1 g when three letters picked without replacement from vvmbmgny.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 326635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9849693, -9849694, -9849695, -9849696, -9849697?\nAnswer: -9849698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 374 divide 2734977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 + 36. Let r = -4 - -4.4. Which is the second smallest value? (a) r (b) -1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of -p**7\/2240 - p**6\/360 + p**5\/192 + p**4\/32 + 3*p**3\/2 - 11*p**2. Let w(c) be the first derivative of a(c). Factor w(i).\nAnswer: -(i - 1)*(i + 3)*(3*i + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 - 43. Suppose 3*r + 2*u - 5*u - 60 = 0, j*u = -3*r + 25. Solve -3*h = 2*t + 10, -3*t - r = -0*t for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2660 and 140315.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 j when two letters picked without replacement from {q: 1, z: 5, l: 7, j: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h - 3. Let d(w) = -w. Let m(u) = -d(u) + j(u). Let v be m(4). Suppose 316 = -z + v*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = m, -m - 141 = -3*s - 4*m. Suppose -4*y - s = -270. Suppose y = 3*x + x - u, -4*x - 4*u = -32. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*k - 66*k + 100 = 0. Solve u + 4 = -22*g + k*g, -3*g + 14 = 4*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + sqrt(80) + -2 - (1*sqrt(80) + 4)**2).\nAnswer: 28*sqrt(5) + 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, a: 5}. Give prob of sequence ll.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -4*m**2. Let i(u) = 3*u**2 - 2*u + 2. Let n(z) = -4*z**2 + 3*z - 3. Suppose -2*k + 18 = k. Let b(q) = k*i(q) + 4*n(q). What is t(b(w))?\nAnswer: -16*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3100521151 - -5?\nAnswer: 3100521200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*6\/(-2) - 1200\/(-144). Factor -4\/3*x**2 - 8\/3*x + 2\/3*x**3 + c.\nAnswer: 2*(x - 2)**2*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + ((-4)\/10)\/(22\/341)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/((-9)\/3))\/(-2). Suppose 2*f + h*f = 10. Solve 0 = -3*b - f*a + 1, 0 = -0*b - 5*b + 3*a + 13 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-33696)\/22032*204\/6\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 172*v**4 - 34 wrt v?\nAnswer: 688*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -37953, -75865, -113705, -151437, -189025, -226433?\n\"Answer: 6*o**3 - 37954*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 3*v**2 + 3*v - 4. Let w be g(-4). Suppose 3 = y - w*y. Let i = 2 - y. Which is the nearest to i? (a) -2\/13 (b) 0 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, v: 4, s: 3}. Give prob of sequence ss.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 330 = -2*r. Let m be 3 + -6 + 16626\/r. Let p = m - 738\/5. Which is the second smallest value? (a) 5 (b) p (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16 - 38 + 16)*(-3*o - 2*o + 2 + 4*o) to the form n + g*o and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*k*m**3 - 1283*k*m**2 - 191*m**5 wrt m?\nAnswer: 18*k - 11460*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a centimeter in micrometers?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**4 + 18*h**3 - 108*h**2 - 552*h - 576.\nAnswer: 3*(h - 6)*(h + 2)**2*(h + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -89b2 (base 12) to base 3\nAnswer: -202220222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**3*j**2 - c**3*j - 8925*c**3 + c**2*j + 63*c*j**2 - 219*j wrt c?\nAnswer: -12*j**2 - 6*j - 53550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, -1\/5, 26, -1 in ascending order.\nAnswer: -1, -1\/5, 2\/17, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -588 = 61*w + 23*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15238214*c*u**2 + 731*c*u + 8*c - 2*u + 8 wrt u.\nAnswer: -30476428*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 297 = -6. Which is smaller: a or 102?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 76, 149, 212, 259, 284, 281?\n\"Answer: -a**3 + a**2 + 77*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 116374771 to the power of 1\/2, to the nearest integer?\nAnswer: 10788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 215581519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/(-36) + (-14)\/(-6). Let k be (-8)\/12*a*3. Let x = k + 30. Solve -4*q + x = 6 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 13*g**2 - 14*g - 21. Let k be z(-12). Let y be ((-2)\/2)\/((-5)\/45*k). Solve 0 = y*l - 4*l + 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 3*u + 3, 36*o + 15 = u + 32*o. Solve u*s = 2*i + 15, -2*s + 3*s - i = 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 417*3\/(3 - 0). Let l = -241 + i. Let h = l - 96. What is the highest common factor of 20 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 525277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 50665 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8693*h = -88*h + 561984 for h.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*q - 113*q + 19386832 = -95662838. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of -n**5\/20 - n**4\/4 + 5*n**3\/6 + 5*n**2\/2 + 5*n. What is x(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -1*sqrt(128))*-5 + -2 + -3)**2.\nAnswer: -2000*sqrt(2) + 3825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 4*j**3 + 29*j**2 + 7. Let b(o) = o**3 - 6*o**2 + 1. What is -5*b(w) + n(w)?\nAnswer: -w**3 + 59*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bo when two letters picked without replacement from {o: 16, b: 1, c: 1}.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-200)\/(-12) - (-1)\/3. Suppose 0 = -v + t + w, 2*v + v + t - 43 = 0. Calculate the remainder when 58 is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/8 (b) 28 (c) -45 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**3*j**3*l - 8*d**3 - d**2*l - 140*d*j**3*l - 6*j wrt j.\nAnswer: -6*d**3*j*l - 840*d*j*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.256 or 2\/5?\nAnswer: -0.256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -738 - -4601. Let r = i - 5723. What is r rounded to the nearest one hundred?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -52*p + 68. Let k(g) = 104*g - 135. Let h(j) = -3*k(j) - 5*l(j). Is h(-9) a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -615*i**3 + 10*i**2 - 932. Let u(z) = -922*z**3 + 14*z**2 - 1398. Let k(g) = -5*u(g) + 7*v(g). Differentiate k(m) wrt m.\nAnswer: 915*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14646 to the power of 1\/2, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2498 = -2389*b - 1934 - 5124 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7382 - 7223. Calculate the remainder when 953 is divided by o.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, l: 4, q: 5, p: 3, u: 5, w: 2}. What is prob of sequence qwwp?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/5260 and -47\/3716190.\nAnswer: 7432380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.093 and 132?\nAnswer: -12.276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, v: 1, j: 1, w: 11, l: 1, a: 1}. Give prob of sequence jvw.\nAnswer: 11\/3360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 35.4414658 to 1 decimal place.\nAnswer: 35.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 493.\nAnswer: -4\/493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -514.44 - -4.44. Let x = u + 509.8. Which is the fourth smallest value? (a) 0.4 (b) x (c) -9 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.5 (b) -64 (c) -3 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -35, -41, -47?\n\"Answer: -6*d - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -2 (c) -0.03 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 1 + 6, 4 = u - 5*c. Suppose -f = -4*f + u. Solve 2*h = -f*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -6*w**2 + 458*w - 9611. Let h(n) = 2*n**2 - 152*n + 3204. Let y(u) = 16*u - 53. Let d be y(4). Let r(k) = d*h(k) + 4*s(k). Factor r(b).\nAnswer: -2*(b - 40)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*i - 21*i - 48. Calculate the lowest common multiple of 1 and (3\/6)\/(2\/i).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 29\/11, -151, 35, -1 in decreasing order.\nAnswer: 35, 29\/11, -1, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-338*k**3 - 10*k**2 - k + 340*k**3 + 11*k**2 + 1986)*(3 + 6 - 1).\nAnswer: 16*k**3 + 8*k**2 - 8*k + 15888","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*r - 6. Suppose 0 = 5*d - 9 - r. Solve 5*h + 0*h + 15 = 3*f, -d*h - 5*f = 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16602 divided by -6\nAnswer: 2767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*j - 2*j + 2*j + (-3 - 4 + 5)*(-j + 2*j + j))*(2 + 3 - 7)*(-22*j + 7*j + 10*j) to f + q*j + z*j**2 and give z.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p + 47 = 15 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*l - 29*l - 3*o = -49*l - 12, 0 = -l + 5*o - 14 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*d**4*g**2 + 453318*d**4 - 2*d**3 - 5*d**2*g**2 + 17*d**2 + 524*d*g**2 - 2*g + 21 wrt d.\nAnswer: 144*d*g**2 + 10879632*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2784 by -696.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11010?\nAnswer: 2, 3, 5, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 2 + 12 = -4*z, -5*z + 4*i = 18 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -4 (b) 14 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -63*g + 59*g + 107*g. Let b(f) = -11*f**2. Calculate a(b(k)).\nAnswer: -1133*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 62 = 3*v. Is v a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 7 - 1)*(2728*s**2 - 3935*s**2 - 3337*s**2 + 7*s**2 - 2*s**2 - 3*s**2 - 3*s**2 + s**2 + s**2 + (-s**2 + 0 + 0)*(-1 + 1 + 2)).\nAnswer: -9090*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50 and 5840.\nAnswer: 29200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.05 greater than or equal to 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/15620 and 179\/44727870.\nAnswer: 89455740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38 - -40. Suppose -14 = 6*w - 2. Let a be w\/(-10) - (5 + 48\/(-10)). Solve -2*r + 24 = -4*z, -z + g*r = -a*z + 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r + 1. Let l = -4 - -2. Let s be y(l). Solve -x - s = 4*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 222704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - ((-4 - ((15 - 7) + -2)) + (-3 - -13)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-12756176)\/564)\/(8\/(-6)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168 - n - 68 - 440 - 37.\nAnswer: -n - 713","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**5 + 2*a**2 - 2*a**2 + (-2*a**2 - a**4 + 2*a**2)*(2*a - 3*a + 3*a) - 3*a**5 + 2*a**5 + 3*a**5 - 3*a**5 - a**5 + 8*a**5 + 15*a**5 - 4*a**5 - 3*a**5.\nAnswer: 10*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**2 + 12*p + 8. Let j be i(6). Solve -j*k = -3*k + 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -j - 3*j + 23, 2*t + 5*j = 40. Suppose 5*d - 5 - 7 = 2*b, -b = 3*d - 5. Suppose -d*m + 19 - 3 = 0. What is the remainder when t is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4103 + 4106. Solve -p*s = -14*n + 11*n + 6, 5*s + 18 = -3*n for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cvcrrcr. Give prob of picking 2 c, 1 r, and 1 v.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2668903.\nAnswer: 2668903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -18, -12, 10, 54?\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 9237*x + 750712. Calculate v(82).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/32)\/((-3)\/(-2)). Suppose 3*l + 3*x + 2*x = 15, 0 = -2*l + 5*x - 15. Suppose l = 3*m - m. Which is the closest to h? (a) -4 (b) -0.2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17\/2*o**2 + 20*o + 21\/2 - o**3 = 0.\nAnswer: -1, 21\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 2)*(2*j - 2*j - 3*j)*(-473 + 89 - 217 - 1782).\nAnswer: 14298*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 6:57 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -189*a - 1131. Let u be v(-6). Sort 288, u, 5.\nAnswer: u, 5, 288","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21010 + 1033251?\nAnswer: 1054301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26015 and 172?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**1)\/s)**(-4\/5)*((s\/(s\/(s**1*s)))\/s)**42)**(1\/5) assuming s is positive.\nAnswer: s**(214\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from knsnnnnknnns. Give prob of sequence nk.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30741 - 10028. Suppose 381887 = -3*h - g. Round h to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-162)\/(-30) - 45\/(-75). Solve -566 = j*f - 548 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6966, -6965, -6964, -6963?\nAnswer: -6962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*p = -12*p + 234 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -13*x - 26. Let v(z) = -7*z - 13. Let c(l) = -6*d(l) + 11*v(l). Let n be c(-14). Is 2 - -19*(-47)\/n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**4\/5 - 3681*h**3\/5 + 18291*h**2\/5 + 47637*h\/5 + 25662\/5 = 0. What is h?\nAnswer: -1, 7, 1222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 30993026359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 k when three letters picked without replacement from kwjffkjffwjewjjjfj?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -10. Suppose n = 5, -a + k*n - 3*n + 28 = 0. Suppose 3*r - 5*d - 24 = 20, 0 = r + 3*d - 10. Calculate the remainder when a is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.47975 times -0.05\nAnswer: 0.0739875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + m)*(8*m + 570 - 554 + 0*m) as x*m + n + d*m**2 and give x.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007833 rounded to six dps?\nAnswer: -0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -1, -11, -2 in decreasing order.\nAnswer: -1, -2, -11, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (10 + (-12 - 2 - -7))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(192) + 1*sqrt(192) + -5 - sqrt(192) - (-4 + (1*sqrt(192) - sqrt(192)))) + 5 + -4 + -1*sqrt(3) + -2)**2 + -4.\nAnswer: -28*sqrt(3) + 152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -594 and 1?\nAnswer: -594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 787, 27, -218, 1 in decreasing order.\nAnswer: 787, 27, 4, 1, 0, -218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -239 - -248. What is the remainder when 66 is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -3*h - 129, -5*v + 215 = -3*h + 7*h. Let u = v - 11. What is the remainder when u is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -105, -207, -309, -411, -513?\n\"Answer: -102*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**4\/6 + 36935*v**3\/3 + 73890*v**2 + 443380*v\/3 + 295600\/3.\nAnswer: -5*(v - 14780)*(v + 2)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53754 is divided by 1493?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 13686788 to the power of 1\/3, to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77, 156, 233, 308, 381, 452?\nAnswer: 521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a millennium in years?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15166 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 12:45 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18733 + 26743. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10962 (b) -0.5 (c) -0.3 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16405073?\nAnswer: 1033, 15881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - (-10)\/30)*30\/4. Let v be 4*(45\/i - 0). Find the first derivative of -v + 3*u**3 + 14*u**3 + 12*u**3 wrt u.\nAnswer: 87*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 42 + -14 - (1 + 6) - 6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p - 51 = -5*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((3696\/(-121))\/(-12))\/((-540)\/990)\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 438, 370, 294, 204, 94, -42, -210?\nAnswer: -416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4923651230 to the power of 1\/2, to the nearest integer?\nAnswer: 70169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 1938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.9 or 22221?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 3*b - f - 109, b + 2*f - 18 = 0. Let k be (b\/(-6 - -7))\/4. Solve -t - 4*t - k = -3*y, 0 = -t - y - 3 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -4*d - 8. Let n be l(-4). Let j be ((-4)\/n - 0)*1. What is the second smallest value in 3\/4, j, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53085230 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -37.051 - -0.051. Let k = -21 - q. Let c = 0.3054 - -2.6946. What is the third biggest value in c, k, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1856 and 448?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11766180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*-73*5 + 1 + 1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5*1\/(-150)*1\/(-2). Let k(y) be the third derivative of 0 - 2\/3*y**3 - d*y**5 - 6*y**2 + 1\/6*y**4 + 0*y. Determine p so that k(p) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -16, -84, -149 in descending order.\nAnswer: 4, 2, -16, -84, -149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2307 + 82.8493. Let f = a + -84. Let k = f - -0.9088. What is k rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -133570 or -133573?\nAnswer: -133573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -66290, -66286, -66282, -66278?\n\"Answer: 4*l - 66294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 9 = -g, -4*g - 53 = -5*d - 68 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 712770 >= 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.56587 kilograms in tonnes?\nAnswer: 0.09856587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102022 + -220000212111?\nAnswer: -220001021210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 33*s - 31*s - 5 = 0, 4*s = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 120.457179us in days?\nAnswer: 0.0000000013941803125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -44790 + 44790 + 1199*f as i*f + s and give i.\nAnswer: 1199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 167 + -165. Let z(b) be the second derivative of 0 + 0*b**w + 2*b + 1\/6*b**6 + 0*b**5 + 0*b**4 + 1\/6*b**3. What is the second derivative of z(d) wrt d?\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 0, -177, -2526 in ascending order.\nAnswer: -2526, -177, -9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -13\/17371847?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -7860*t. Let g(a) = a. Calculate x(g(l)).\nAnswer: -7860*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (348*i**2 + 199*i - 100*i - 101*i + (i + 4 - 4)*(-1 + 2*i + 1))*(2*i**2 + 5 - 5) in the form n + l*i**2 + d*i**3 + t*i + j*i**4 and give j.\nAnswer: 700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zww when three letters picked without replacement from zzgzwzzgzgzzzgwzwzzw.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -245 and 0.4?\nAnswer: 245.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 531 and 13629?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + -1 + 1 + -3. Let t be (w + 8\/(-6))*-69. Suppose 3*m + t = 5*b + m, -2*m = 0. What is the remainder when b is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1837508?\nAnswer: 2, 459377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 12 = 4*c, -3*c = -v - 1609 + 1588 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/5, -0.2, 9\/13, 2\/3, -11?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 - 4)*(s - 3 + 3)*(-4 + 4 - 2*s**4 - s**4 - 3*s**4 + 2*s**4 + (0 - 2*s + 0)*(2*s**3 - s**3 + s**3) - 2*s**3 + 2*s**3 + s**4 - s**4 - 9 + 9).\nAnswer: -16*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 977, 604, 231, -142, -515, -888?\nAnswer: -1261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(85) - sqrt(85)*-1*1)\/sqrt(5))**2.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44 - 24. What is the remainder when -59*4\/4*-1 is divided by b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 373\/4 in 0.2, 5, 1\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -4*i**2 + 5*i + 5. Let a be t(-2). Let o = a - 12. Let j = 54 + o. List the prime factors of j.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/2 + 213727*r\/2 - 320586.\nAnswer: -(r - 213724)*(r - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/22 and 67\/27.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = -0*y - 6. Let z be (564\/(-9) - y)*-12. Is 3\/(-9) + z\/15 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 5*z = 73, 20*t + z = 19*t - 17 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-14) + (-107)\/(-7). Suppose -2*c - g = -7*c. Factor -3 + c - d**4 - d**3.\nAnswer: -d**3*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 1. Let c(u) = -u**2 - 8*u - 10. Let a be c(-5). Let x(i) = -3*i**2 - 4*i - 7. Give a*j(m) - x(m).\nAnswer: -2*m**2 + 4*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 + 11 = -3*h. Let d be (5 + (-51)\/h)\/((-2)\/27). Let g be 31\/4 + (-1)\/(-4). Which is smaller: d or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -46, -77, -114, -157?\nAnswer: -206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 5*u**2 + 59*u + 25. Calculate w(-3).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 5:54 PM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 578 and 14539590?\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -848*j**2 + 1935*j**2 + 1387*j**2 in the form w*j + q + n*j**2 and give n.\nAnswer: 2474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 4:15 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01068403887 to 5 decimal places.\nAnswer: 0.01068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1692.4425 months?\nAnswer: 14.1036875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 107958527 to the nearest integer?\nAnswer: 10390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2 + 6\/5 + (-3610)\/300 and -53\/32?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*o - 28*o + 145*o + 293810*o**3 - 293811*o**3 + 756 + 16*o**2 + 74*o = 0.\nAnswer: -7, -4, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/6)\/(2\/(-6)). Let l = 4 + k. Let x be ((-3)\/l)\/((-1)\/6). Solve 15 = -5*u + 2*y, 5*u - 4*y - x = -34 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -1, 2, 2\/9, 0.39 in increasing order.\nAnswer: -1, -2\/13, 2\/9, 0.39, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/1037 or -2560?\nAnswer: -2\/1037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*b + 2*l - l, 0 = -b - l + 7. Suppose 5*u + 2850016 = -b*v, 541681 = -4*u - 2*v - 1738327. What is u rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 147 and 8004003?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 282852 and 291?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 13 + 3 = 0. Let k be ((-4)\/i)\/((-14)\/(-28)). Solve -4*g = -k*h + h - 1, g = 5*h + 13 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - 6*c + 6. Let g be v(-7). Let o = g - -3. Suppose -o*k + 3*k = 10. What is the highest common divisor of 15 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/12 and -79\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -280971 - -2.8.\nAnswer: -280968.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -10*c - 36. Let h be v(-4). Solve -h*z + z = -6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1333.4707 minus -2?\nAnswer: 1335.4707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/11 and -65\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 1904.\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 6*t + 22. Determine g(2).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1.3 (b) -1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 146*c - 83. What is the tens digit of p(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232936910029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 s when two letters picked without replacement from {r: 1, u: 1, s: 2, z: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -96 divided by 5?\nAnswer: -96\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -908 by -4.\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3877 minus -41249205964?\nAnswer: 41249209841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 5*o - 10. Suppose -3*y = -5*h - y + 2, 1 = -3*h - y. Suppose h = -m - 5*r + r - 5, 0 = m - 5*r - 22. Let n be j(m). Solve n - 16 = 4*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4522573*p**5 + 1177723*p**2 + 3 wrt p?\nAnswer: -271354380*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 342 and 81.\nAnswer: 3078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 21910 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1333388 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -200021002 (base 3) in base 6?\nAnswer: -141345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200 + 42*l**2 + 97 + 103 - 29*l**2.\nAnswer: 13*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 50 or 487\/10?\nAnswer: 487\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 238\/(182\/13)*1\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2\/941 + 1888\/2823. What is the biggest value in 0.2, -7, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7476144, 7476146, 7476148?\nAnswer: 7476150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 821419827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-8) + (-30)\/28. Let j = 301 - 303. What is the biggest value in h, 0.2, j, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37583?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -75 + 77. Let b(o) = 27*o**2 + 2*o + 15. Let g(f) = -325*f**2 - 25*f - 180. Let q(v) = a*g(v) + 25*b(v). Differentiate q(w) with respect to w.\nAnswer: 50*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -50327856 to the nearest one hundred thousand.\nAnswer: -50300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}