diff --git "a/data/dm_maths/full_data_2/1520_11255.jsonl" "b/data/dm_maths/full_data_2/1520_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1520_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Factor 5*k**3 - 273615*k**2 + 1094355*k + 1367975.\nAnswer: 5*(k - 54719)*(k - 5)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - r = 3, 0*t = 4*t + 3*r - 11. Suppose -4*i + i = 0, t*w - 4*i - 36 = 0. Let u = 22 + w. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l**3 + 14 + 0*l + 7 - 26 + 4*l**2 + l as x*l + d*l**3 + c*l**2 + p and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/18 - (-26)\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -321052\/7 + 45864. Let q = -32 - -226\/7. Sort z, -2, q, -1.\nAnswer: -2, -1, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/9*(9 - 6)\/3.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-2 + 206\/102). Let f = a + 86. Is f a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13010*i**2 - 38991*i**2 + 13011*i**2 + 12997*i**2.\nAnswer: 27*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/30)\/(4\/(-8)). Let q be (8\/(-30))\/(2\/(-5)). Let 1\/3 - q*p**2 + u*p = 0. What is p?\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/3)\/c)\/c**(-27\/5) assuming c is positive.\nAnswer: c**(56\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 6*sqrt(1584))*-6 - -5*(1 + sqrt(704) + -1))**2.\nAnswer: -23520*sqrt(11) + 1691204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4132288 to the nearest integer?\nAnswer: 2033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -12630 divided by -25?\nAnswer: 2526\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -3 + 18 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -5*g - 103. Let q be s(-23). Solve -l - 2*l - 5*y - 32 = 0, -l + 4*y = -q for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.9, -16, 0, -10, 0.4 in increasing order.\nAnswer: -16, -10, -2.9, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(280)\/sqrt(5)*-2)\/(sqrt(40)\/sqrt(5)*-5 + sqrt(8)))**2.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -0.2422, 1 in decreasing order.\nAnswer: 1, -0.2422, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tvaatyhghtatyytgtt. Give prob of picking 3 a.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -1a7?\nAnswer: 1aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13714 + 13708. What is the fourth biggest value in w, -1, 2, 17?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -11*p**3 + 20*p**2 + 10*p + 51. Let n be b(-14). Suppose -2*z - n = -3*h, -5*h + h + 45356 = -4*z. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104124 (base 9) to base 4\nAnswer: 33021310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -122 (base 4) in base 11?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/19328552 and -7\/430480.\nAnswer: 193285520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((14\/4)\/7)\/((-2)\/(-16))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -742 - -755. Suppose 21*a + p*a = 15096. What are the prime factors of a?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*t**3 + 3*t**3 - 7*t**3 - t)*(51*t - 3858 + 3858) to the form y*t**3 + z*t**4 + c*t**2 + v*t + b and give z.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = j - 3 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3126?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 5*u - 7. Let b be a(3). Let j(t) = 0*t - t**2 - 5*t + b*t + 2. Let r be j(4). Let i(y) = -2*y**3 - 2*y**2 + 2*y. Give i(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4563770, -4563777, -4563790, -4563815, -4563858, -4563925, -4564022, -4564155?\nAnswer: -4564330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u + 1. Suppose h + 3 = -2*h. Let z = -7 + 11. Let x be 6\/4 - ((-14)\/z)\/(-7). Let g(l) = -3*l + 2. Determine h*g(j) + x*m(j).\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b**2 + 16*b + 15. Suppose 7*p + 16 = 23*p. Let d(q) = q**2 + 2*q - 1. Let t(u) = p*w(u) - 5*d(u). Solve t(n) = 0.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from khwawwkkwakh. Give prob of sequence wh.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6098 and 0.4355814841?\nAnswer: 6097.5644185159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = b + 2. Let x = -169 + 339\/2. Factor -x*d + 0 + 1\/2*d**b.\nAnswer: d*(d - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*b + 51*b = 672 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 28. Let l(c) = c**2 + 8*c - 4. Let i be l(t). Calculate the highest common divisor of 10 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168493722 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*4*(-4 + -2*sqrt(2) + -1*sqrt(200) + 1*sqrt(242) + 2*(-1 + sqrt(2))))**2.\nAnswer: -4800*sqrt(2) + 15200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*i + j, 4*i - 5*j = -975 + 967. Let g = 4 - 7. Which is the third smallest value? (a) 2 (b) i (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -258.0464 - -0.0464. Let i = -253 - h. Which is the third biggest value? (a) -10 (b) 2\/15 (c) i (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 120759?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*y**3 - 141*y**3 + 294*y**3.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4711107521820 and 0.11.\nAnswer: 4711107521820.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9477726, 18955445, 28433162, 37910877, 47388590?\nAnswer: 56866301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-175)\/63 - (-2)\/(-9))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -6*i**2 - 16*i. Let t be a(-3). Let p be ((t - -3) + 2)\/((-15)\/30). Let -192\/7 - 3\/7*v**p - 48\/7*v = 0. Calculate v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 7*v - 4264. Let x = 3150 - 3124. Calculate the greatest common divisor of x and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 752705058 + -752704319.000303. Let q = -739 + l. What is q rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22104 (base 5) in base 6?\nAnswer: 11025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1566 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2 - 11400212*w.\nAnswer: -w*(w + 11400212)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2080 or -1?\nAnswer: -2080","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3 - 640*j**2\/7 - 184*j\/7.\nAnswer: 2*j*(j - 46)*(7*j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 221, 1 in decreasing order.\nAnswer: 221, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -168774 + 168776. Factor 42\/13*s + 0 + 2\/13*s**w.\nAnswer: 2*s*(s + 21)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 42 = -11*f. Are f and 3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7284 and 15972.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 1516?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*(45\/(-10))\/9. Let s(a) = a**3 - a + 8. What is the remainder when 109 is divided by s(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10269628, 20539258, 30808888, 41078518, 51348148, 61617778?\nAnswer: 71887408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 28.90004 tonnes?\nAnswer: 28900040000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 38 = 5*q, 5*z + 4*q = 14 - 65. Let k be 13\/z + -2 - 10\/(-55). Put 3, -5, k, 0 in ascending order.\nAnswer: -5, k, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -4, 2030, -1\/4, -1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -551277 at most as big as -551272?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-80)\/336 + 0 + 4\/6. Let v = -2.5 + 2.4. Put c, v, 2, -0.3 in ascending order.\nAnswer: -0.3, v, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -159*m + 5290. Calculate the remainder when l(20) is divided by 314.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5946 not equal to -118?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - 3*h + 36. Suppose -5*l + 22 + 78 = 0. Calculate the smallest common multiple of h and l.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (11\/(-165))\/(8\/(-5) - -2). Suppose -3*u = 2*u - 5. Which is the third biggest value? (a) u (b) x (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1593 - 6*m**2 - 1593.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-33))\/(-25*(-57)\/(-2850)). Suppose -4*n + 36 = -5*s, -5*s - 4 = 3*n + n. Put 5, s, 0, k in decreasing order.\nAnswer: 5, 0, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1758199?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 37 - (23 - (-32 + -32)) - (1 - -8)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45234*f**2 + 72871*f**2 + 207205*f**2 + 69642*f**2.\nAnswer: 304484*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 10*s**2 + 22*s + 212. What is d(-11)?\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 37552857, 37552858, 37552859?\n\"Answer: f + 37552856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-1*sqrt(8).\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*h + 2*h - 3*h - 210847 + 210847 + h.\nAnswer: -11*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1525 and 863?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**3 + 44*r**2 + 265*r - 5029. Give k(23).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 33 - (6 + -14 + 10 + 1).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 829486057.\nAnswer: 829486057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2*u - 6*p - 19, -49 = -4*u - 5*p. What is the second derivative of -5*k - 12*k**3 + 9*k - u*k wrt k?\nAnswer: -72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-4))\/((-2)\/16). Suppose 0 = 3*p + 2*x - 31, -p - 18 = -m*x - 3*x. What is the third derivative of 4*a**6 + 5*a**6 + 7*a**2 - p*a**2 - 5*a**2 wrt a?\nAnswer: 1080*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -320040 = 3887*b + 446*b + 580*b + 167*b for b.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, z: 1, t: 1}. Give prob of picking 1 z and 1 t.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, n: 1, c: 1, y: 1, g: 1}. Give prob of sequence gn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -200 (b) 2\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -50 or 24.9?\nAnswer: 24.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27409080, -27409064, -27409050, -27409038?\nAnswer: -27409028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 38*g - 85. Give q(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011100110001111101 (base 2) to base 16.\nAnswer: -5cc7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 5*l**2 + 3*l - l - l + 2*l**4 + 0*l**2 in the form y*l + v + j*l**2 + z*l**4 + a*l**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3579 times -0.3?\nAnswer: 1073.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (12\/(-15))\/((-1240)\/130151950) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 808 and 537118.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-3 + -2) - (7 - -14)) + -6?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 3*b**2 - 2*b - 1. Let p be m(4). Suppose 0 = 5*j - p - 18. What is the third derivative of 289*o**j - 3*o**2 - 8*o**2 - 276*o**5 wrt o?\nAnswer: 780*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 126 and 10454822?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z. Let n be l(-5). Let j(r) = 321*r**2 + 6*r + 1. Let k be j(n). Let i = -48215\/6 + k. What is the common denominator of i and -5\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11057400 - -13?\nAnswer: -11057376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -102085 + -15\nAnswer: -102100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of a**6\/30 - a**4\/12 + 6*a**2 - 11. Let l(s) be the second derivative of j(s). What is the second derivative of l(c) wrt c?\nAnswer: 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -738.289225 to 1 decimal place.\nAnswer: -738.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*n = -129*n + 36 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -676420 - -676398.99995. Let l = -20.983 - 0.017. Let r = g - l. Round r to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 13, -0.4, 242?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 33 = -5*w, -h + 1156*w - 1161*w + 23 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4745765 (base 10) to base 2.\nAnswer: 10010000110101000100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/(-50) - (-7)\/14.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 10*f**2 + f - 18 + 31.\nAnswer: 10*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 214 = -j, 0*j = -5*l + 3*j - 276. Which is bigger: l or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 0.1, 5, 37.42, -3, 4.\nAnswer: -17, -3, 0.1, 4, 5, 37.42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -2\/9 (c) 6 (d) 15\/212 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -3\/4 (b) -1 (c) -0.4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -3*t + 39, 45 = 4*t - n - 20. Suppose -5*o + t = -4*p, -4*p + 3*o - 2 = 5. Which is the third biggest value? (a) 1.8 (b) 0.5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*k**2 - 11915*k + 11915*k.\nAnswer: -14*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 1 = 3*t. Let f = 1\/815 + -77427\/1630. Calculate the common denominator of t\/4*(-1)\/(-10) and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 7 = -3*q, 2*q + q - 4*d = -10. Let r be q\/2*5\/20. Which is the closest to 1? (a) 0.1 (b) r (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 6*j + 6. Let n be g(6). What is the third derivative of -2*l**2 + 18*l**n + 11*l**2 - 11*l**2 wrt l?\nAnswer: 2160*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 3\/7, -2 in decreasing order.\nAnswer: 23, 3\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of d**6\/180 - d**5\/30 + d**4\/12 + d**3\/3 - 2*d**2. Let q(h) be the first derivative of l(h). Solve q(p) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5166*q = 5197*q + 31 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ezeeeezezzeeez. What is prob of sequence ez?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-8\/9)*(m*(m**(-15)\/m)\/m)\/m)**(1\/20) assuming m is positive.\nAnswer: m**(-161\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -319, -642, -965, -1288, -1611?\n\"Answer: -323*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w + 1. Let o be z(3). What is the remainder when 19 is divided by (1\/(-4))\/(o\/(-176))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 277*w**5*x**2 + 29*w**2*x**3 - 62*w*x**3 - 2*w - 1701*x**3 - 2*x wrt w?\nAnswer: 5540*w**3*x**2 + 58*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 g when four letters picked without replacement from {c: 9, g: 4, i: 6}?\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - x - 11 = 17, 4*x + 22 = b. Let p = -4 - -7. Factor -p*y**4 + 5*y**4 - y - y - b*y**3 + 6*y**2.\nAnswer: 2*y*(y - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s + 60. Determine x(1).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 8*m**2 + m - 4. Let q(n) = 7*n**2 + 2*n - 5. Determine -2*q(i) + 3*t(i).\nAnswer: 10*i**2 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1135312 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.4 + -2.6. What is the closest to 2 in r, -5\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/(-3)*(-6)\/27. Which is the biggest value? (a) h (b) 1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 10*u**2 - 16*u + 13. What is y(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*i**4 + 3445*i**3 - 6*i**2 + 5*i - 42 wrt i?\nAnswer: -456*i + 20670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22303118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3 + 21*z**2 + 12*z - 84.\nAnswer: -3*(z - 7)*(z - 2)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -0.101?\nAnswer: -0.0404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -47? (a) 4 (b) 129 (c) -0.051 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -161863674, -323727338, -485591004, -647454672, -809318342, -971182014?\nAnswer: -1133045688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**7*o**(-2\/31) assuming o is positive.\nAnswer: o**(215\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1211, 2402, 3553, 4646, 5663, 6586, 7397?\n\"Answer: -3*g**3 - 2*g**2 + 1218*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 3*u**2 - u. Let i be q(-4). Let w be 4\/(-10) - i\/5. What is the second derivative of 3*d**4 - d**2 + 4*d + d**w - d wrt d?\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -80\/1023519 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -f**4\/4 - 5*f**3\/3 + 9*f**2\/2 - 6*f - 5. Let u be q(-7). Is (u\/(-2))\/(3\/(-6)) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 633*r + 2. Let i(o) = -401*o. Give i(k(d)).\nAnswer: -253833*d - 802","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-154)\/(-88))\/(-7)*(-984)\/6\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 8*m. Let j(a) be the third derivative of 0 - 3*a**2 + 0*a + 1\/60*a**5 + 0*a**3 + 0*a**4. Determine j(w(c)).\nAnswer: 64*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258944 is divided by 797.\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 88 + -82. Let f = c + -2. Solve 0*x + f*x = -16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -410, -439, -518, -671, -922?\n\"Answer: -4*o**3 - o**2 + 2*o - 407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2*z = -236, -4*z - 220 = -3*j + 162. Let i = 612\/5 - j. What is the closest to i in 4, -0.03, -1\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/((-348)\/290*-20).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + c = 6*c + 10, 0 = 2*g - 4*c - 36. Let d = 0 - -1. What is the lowest common multiple of g and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -4*d**3 + 10*d**2 + 25. Let p(r) = 3*r**3 - 7*r**2 - 17. Let a(f) = -7*p(f) - 5*z(f). Let t be a(0). Which is bigger: -5 or t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + (8 - 1 - (-23 - -22)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -40222 (base 7) to base 2\nAnswer: -10010111110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.1, 2\/5, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.3 and -2004.\nAnswer: -2605.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - t + 187, -5*c + 2*c - 2*t = -185. Suppose -109*i - 84 = -111*i. What is the greatest common divisor of c and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + p**2 + p. Let r(i) = -5*i**3 - 9*i**2 - 11*i - 3. Let v(n) = -4*m(n) - r(n). Suppose v(z) = 0. Calculate z.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = q - 0. Suppose 4*s + 6*a = a + q, -a = -5*s + 23. Solve s*o - 2*b = 2, 4*o + 33 = -0*b - 5*b for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 498*v**2 + 461*v**2 - 1453*v**2 + 498*v**2.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 1783*g**3 - 12*g**2 + 4*g - 21. Let c(l) = 1783*l**3 - 9*l**2 + 3*l - 16. Calculate 4*c(w) - 3*r(w).\nAnswer: 1783*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.02078 - -0.27752. Let l = m - 0.285. Round l to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 4*t. Let o(d) = -16*d. Determine o(s(j)).\nAnswer: -64*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3b6 - 0?\nAnswer: 3b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -719.85 to the nearest ten.\nAnswer: -720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 - -23. Let l = h - 8.6. Put l, -4, -1 in descending order.\nAnswer: l, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4 + 198340*g**3 + 7138296*g**2 + 64238832*g.\nAnswer: 2*g*(g + 18)**2*(g + 99134)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -14184.9543+-2300\nAnswer: -16484.9543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence evg when three letters picked without replacement from {x: 9, e: 1, v: 1, g: 3, h: 4}?\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -0.8, 4, -5, 3\/4?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, s: 1}. Give prob of sequence sss.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 278*p - 508*p + 186*p.\nAnswer: -44*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1727, -1, 2, -5, 3.\nAnswer: -1727, -5, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -s**7\/231 - 16*s**6\/165 - 73*s**5\/110 - 3*s**4\/11 + 108*s**3\/11 - 216*s**2\/11 + 6*s. Factor k(m).\nAnswer: -2*(m - 1)**2*(m + 6)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 14, 354, 1018, 2000, 3294, 4894?\n\"Answer: -o**3 + 168*o**2 - 157*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 7. Put 3, -1, d in decreasing order.\nAnswer: 3, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -809 - -813. Let d(t) be the second derivative of 0*t**o + 2*t + 0 + 0*t**2 - 1\/5*t**6 + 0*t**5 + 7\/6*t**3. Find the second derivative of d(r) wrt r.\nAnswer: -72*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 170*5\/(-200)*-8?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 38\/152 - (-4)\/16. Let w(x) be the second derivative of -3\/20*x**5 - 3*x**2 + 0 + 1\/2*x**4 - 27*x + j*x**3. Solve w(t) = 0 for t.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1060 (b) -0.5 (c) 0.4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71010 = 59*c - 33647 + 11378. Solve -c*h + 1589*h = -32 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (85\/(-140) - (272\/(-56) - -4))\/1. Factor b*x**3 + 0 + 0*x**2 - x.\nAnswer: x*(x - 2)*(x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 2\/5 (c) 0 (d) 1\/13 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xmwx when four letters picked without replacement from xkjkkkmmkjxwkjkxxm?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.17 - 0.23. Which is the closest to -0.1? (a) -3 (b) 1\/2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 22439.82821 to the nearest 100.\nAnswer: 22400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p**2 + 4*p + 4. Let h(j) = -7*j**2 + 8*j + 8. Let d(r) = -r**2 + 6*r**2 - 4*r**2 - 2*r - 1 + r. Let a(o) = 3*d(o) + h(o). Give 5*a(f) - 6*g(f).\nAnswer: -2*f**2 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 485 and 705030?\nAnswer: 68387910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + 91 + -41 + -48 + 3.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, n: 8, i: 2}. What is prob of picking 1 i and 1 n?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 8 = -0*w. Let m(r) = r**3 + 8*r**2 + 2. Let i be m(w). Suppose i*n = 7 + 15. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -4. Suppose -15 = 3*n, -o*a - n + 3*n = -30. Is a != 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 3*r - 27, -21*r + 26*r - 3*o - 37 = 0. Let w(q) be the second derivative of 0*q**2 + 1\/2*q**3 - r*q + 1\/4*q**4 + 0. What is a in w(a) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, -121, -286, -611, -1150?\nAnswer: -1957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p. Let d(b) = -16*b**2 + 13. What is d(t(y))?\nAnswer: -64*y**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x + 17. Let a be s(8). Solve 3 = -4*v - a for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -505*a + 503*a + 2965, 4430 = 3*a + 5*l. Is a a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 5*p**2 - 37*p - 192. What is the smallest common multiple of f(-5) and 2?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -761*n + 146129. Calculate z(192).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -131286 * 0.06\nAnswer: -7877.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95030, -380292, -855734, -1521356?\nAnswer: -2377158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*h - 4*r - 14, 4 = -4*r. Let o(n) = -8*n - 1. What is o(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -200 + -610. Let a be 4\/(-10) - d\/25. Let y = 3 + 1. What is the greatest common factor of y and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.03 (b) 4 (c) -0.04 (d) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 3*i**2 + 501*i + 990 = 0.\nAnswer: -165, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5452489, -10904975, -16357463, -21809953, -27262445, -32714939?\nAnswer: -38167435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 471003?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 72 - 13. Calculate the greatest common factor of 590 and w.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + q - 1)*(3 + 0 - 1) + (2*q + 1 - 1)*(1 + 2 + 3).\nAnswer: 14*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 5:44 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 10*q - 2*q - 11*q. Suppose -3*j + 4*t + t + 21 = 0, -3*j = 2*t. Let x be 1\/j + (-12)\/8. Calculate l(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 346885898 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**4 + 28 + 96*v**2 + 23 + 13 - 128*v - 32*v**3.\nAnswer: 4*(v - 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 18 = -3*v, f + 3 + 15 = 5*v. Let i = -13 - f. Is 5 >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 4*s - 5. Let o = -2 - 3. Let x = s - o. Solve 0 = -3*v - x*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1804060.\nAnswer: 2, 5, 90203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 27 - 3 = 0. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2 and 396 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 - 27 - 18*w + 56.\nAnswer: -18*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*f = -6. Let u(b) = 3*b. Let w(l) = 26*l - 10. Let c(q) = 8*q - 3. Let j(g) = 7*c(g) - 2*w(g). Determine f*u(v) - 2*j(v).\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13777105 or -13777104?\nAnswer: -13777104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3245 divided by 212?\nAnswer: -3245\/212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 234484 + 53049. Let o be 4\/46 - b\/(-943). Which is smaller: o or 306?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 7*n**3 - 5*n**2 - 7*n + 414. Let i(h) = -4*h**3 + 3*h**2 + 4*h - 208. What is -5*i(a) - 3*v(a)?\nAnswer: -a**3 + a - 202","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-63 + 64 - 84 - 85)*(-2*n**2 - 3*n**2 + 3*n**2).\nAnswer: 336*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -698101 - 5264*z**3 + 698101.\nAnswer: -5264*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a**3 + 95*a**4 + 5*a**2 + 3*a**3 + 95*a**4 + 2 - 198*a**4 in the form b*a**4 + w + x*a**3 + o*a**2 + j*a and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -733*r**2 - 13659*r + 40950*r - 13644*r - 488*r**2 - 13647*r.\nAnswer: -1221*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -444963464 divided by -33638\nAnswer: 13228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7462*n - 1221*n**2 - 7462*n.\nAnswer: -1221*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-58240)\/(-5880) - (-4)\/42.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -0.5, -4, -0.08 in ascending order.\nAnswer: -4, -0.5, -0.08, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 6 - 2. Let l(p) = -p**3 + 4*p**2 - 5*p + 2. Let m be l(3). Suppose -4*d = -213*q + 209*q - 4, 5*q + 17 = -d. Put b, m, q in decreasing order.\nAnswer: b, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v + 13. Let p be z(-13). Suppose p*y + 6*y = 66. Calculate the remainder when 43 is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g**3 + 120*g**2 + 149*g - 152. Calculate t(61).\nAnswer: 1495","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 6*z**2 + 4*z - 5. Let q be g(-5). Suppose -2*h + 2*c + 24 = 0, 4*h = -c - q*c + 33. Is 6 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (40 - l - 72 - 21)*(3 - 3 + 2) to the form a + b*l and give a.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x**5 + 9960*x**4 - 173165*x**3 - 4829520*x**2 - 15911280*x = 0. Calculate x.\nAnswer: -2009, -12, -4, 0, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(3\/23))**(-40\/3)\/(r*r**(-27)*r*r**(2\/63)))**31 assuming r is positive.\nAnswer: r**(600749\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -121 - 110. Let m be (1 + 2)*-1*(-2981)\/t. Suppose 2*c + 2*x - m = x, -3*c = 3*x - 399. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1538*k + 1254*k + 1646*k to n + l*k and give l.\nAnswer: 4438","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o + 46. Determine v(-16).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 13*n**2 - 2*n + 1. Let a(j) = -j**2 - 3*j + 1. Let z be a(-3). Let c be r(z). Suppose -2*d = -2*p - 24, 4 = -d + 5*p + c. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 100062230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) - (sqrt(162)\/sqrt(3))\/sqrt(9))\/(sqrt(528)\/sqrt(11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 7*g**2 - 2*g + 16. Let d be c(7). Suppose 5*m - 8 = d*v + 4, 0 = -3*v + 4*m - 4. Let b(x) = 176*x - 25. Is b(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -75*j - 40*j**2 + 78*j + 10*j**2 as h*j**2 + y + a*j and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 819 and 94419.\nAnswer: 660933","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -253 + 425. Let z = y + -162.9. Let w = 9 - z. Are w and 3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 12:19 AM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3467*i**2 - 17*i + 23 wrt i.\nAnswer: -6934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 274552502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -4*j**3 + 7*j + 4. Let i(m) = -3*m**3 + 6*m + 3. Let u(k) = -4*b(k) + 5*i(k). Let q be u(1). Suppose -5 = -l - q. Solve -l*h + 6*h = -12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1002 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 939538548.\nAnswer: 2, 3, 13, 317, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -2*b**3\/3 - 3*b**2\/2 - 7*b + 3. Let d(n) = n**2 - n + 1. Let h(m) = -c(m) - 3*d(m). Determine h(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -31618.89262 to the nearest one thousand.\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1520.8 - 1520.6. What is the third smallest value in -0.16, v, 2\/11, 2\/533?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, -65, -66, -67, -68?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -14*x + 25. Let n(o) = -4*o + 1. Let q(p) = l(p) - 5*n(p). What is q(-9)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*n**4 - 18*n**4 + 20*n**2 - 50*n**2 + n**2 wrt n?\nAnswer: -528*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4290 by -5.\nAnswer: -858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1078 + -1078. Determine f, given that 4\/3*f**3 + q + 14\/3*f**4 + 8\/3*f**5 + 0*f - 2\/3*f**2 = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + u - 96 = 0, -3*u + 1 = 13. Suppose -3*i + a = -35. Let y = 30 - i. What is the remainder when 33 is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z + 61. Let l be x(-19). Suppose -l*j = -j - j. Solve -9 = 3*w - n - 0, -2*n - 6 = j for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 2*l - 2*l + 24 - 20 - 4*l**3. Let w(f) = -2*f**3 - f**2 + 2. Determine -3*q(r) + 5*w(r).\nAnswer: 2*r**3 - 2*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2*l - 125 = g, -54 = 3*g + 3*l. Let s = 28 + g. Solve -3*x - 22 = -4*j, -j - s*x - 6 = -0*x for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - o = -8, 2*x - 2*o - 196 + 176 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -a**4\/4 - 4*a**3\/3 - 2*a**2 + 4*a - 113. Let y = 7 - 11. Let q be p(y). Solve -q = -5*s + 2*r, s = 3*r + r + 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1255791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 * 1.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a hour in seconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1601746 to the power of 1\/2, to the nearest integer?\nAnswer: 1266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8916781 and -0.7.\nAnswer: -8916781.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**(-8\/7)*q))\/q**10 assuming q is positive.\nAnswer: q**(-85\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3813110670 a multiple of 842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2c - -809?\nAnswer: 7aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, q: 4}. Give prob of sequence qt.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*-7*30\/385?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9\/11*(-39)\/(2808\/(-48))\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 9:32 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 62295.8 and -2356711.\nAnswer: -2294415.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 21*p + 33. Determine b(-15).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-22))**(-4) assuming f is positive.\nAnswer: f**88","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125449 is divided by 4369.\nAnswer: 3117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8604431, -8604441, -8604457, -8604479, -8604507, -8604541?\n\"Answer: -3*f**2 - f - 8604427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r + 2. Let a be y(1). Suppose 3*l - u - 6 = 0, -23 = -a*l - 4*u + 1. Suppose -l*p + 15 = 2*p. Solve 0 = -c - p + 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(110)\/sqrt(10) + -5 + -6*(sqrt(66)\/sqrt(6) - sqrt(11)).\nAnswer: -1 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*j - 7*j**2 - 17*j.\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 270 and 7541040?\nAnswer: 67869360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 493 a factor of 126888252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 467682?\nAnswer: 2, 3, 23, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -s**4\/2 - 12*s**2. Let l(n) = n. Give l(c(k)).\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 17\/4 of a millimeter?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 16) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1279226 - -3919966\/3. Let v = 409612\/15 - j. Let b = v - -122. What is the smallest value in -2\/3, b, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fourty-four fifths of a micrometer?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -263*r**4 - r**3 + 1595*r**2?\nAnswer: -6312*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = -3*h - 3*z - 3774, z - 6312 = 5*h. Let o = h + 2006. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -146372568 take away -0.09?\nAnswer: -146372567.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 697279 and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of o**7\/105 + 7*o**3\/6 - 7*o**2\/2 + 4. Let x(j) be the second derivative of q(j). Differentiate x(t) with respect to t.\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/3 - 13670*d\/3.\nAnswer: -d*(d + 13670)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*k - 250*k**2 + 1 - 292*k**2 + 756*k**2 to l*k**2 + z + u*k and give l.\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 201*j + 230. What are the prime factors of g(12)?\nAnswer: 2, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 1792.\nAnswer: 1792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in -1, -16, 1\/5, 0, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 297.8019 minutes to hours.\nAnswer: 4.963365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32.99 - -0.01. Let u = n + -14. Let z = u - 23. What is the second smallest value in 1\/2, 5, z?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 301 divide 91203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/652 and -29\/28.\nAnswer: 4564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppx. Give prob of picking 2 p.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/2 of a milligram in micrograms?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 352 and 23012?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -72191 (base 11) in base 10?\nAnswer: -105370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y**(-3\/2)\/y*y)\/y*y))**25*(y**(-5))**(6\/7) assuming y is positive.\nAnswer: y**(815\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/2)\/(7\/14). Suppose 0 = f + 2 + g. Let z = -5 - f. Solve z = -2*p + 1 - 5 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 8*h + 1. Give i(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 2*v + c - 178 = 0, -2*v + 172 = -2*c. What is the greatest common factor of v and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + q - 4 - 0, -2*q = 8. Sort -5, -2\/17, w in ascending order.\nAnswer: -5, -2\/17, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1409609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - (12 + -4) - -7. What is the second smallest value in x, -4\/3, -3\/2, 1\/4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a day in minutes?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/12147264 and -91\/2112.\nAnswer: 133619904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -15. What is the smallest common multiple of 1 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18491 + -92812\/5. Let s = f - -71. Suppose -4*k + 21 = -5*x, 2*k - 3 = -2*x + 3. What is the nearest to -1 in k, -2\/15, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 5, -0.13, -0.1, -0.616?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-2)*12\/((-108)\/(-9)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.07562 millilitres in litres?\nAnswer: 0.04507562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 30\/88 - (-3)\/(-12). Is l < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(3\/2)\/((y**11\/y*y)\/y)*(y*y**16)\/y**(1\/3) assuming y is positive.\nAnswer: y**(49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = i + 1567395, o - 64*i - 391840 = -65*i. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -q**5 + 1021*q**2 + 2259*q.\nAnswer: -20*q**3 + 2042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -865 + 771. Put y, 0.1, -3, 3 in descending order.\nAnswer: 3, 0.1, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -642, -641, -638, -633, -626, -617, -606?\n\"Answer: z**2 - 2*z - 641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1888841, 1888864, 1888903, 1888958?\n\"Answer: 8*d**2 - d + 1888834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 12 = -3*o, -28*a + 25*a - o - 4 = 0. Solve a = 76*f - 80*f + 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, k: 2, u: 3, o: 3, z: 6}. What is prob of sequence znnu?\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*x**4 + 37*x**3 + 2*x**2 - 146*x wrt x.\nAnswer: 72*x + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -56*g**3\/5 + 1348*g**2\/5 - 6204*g\/5 - 12528\/5 = 0.\nAnswer: -3\/2, 9, 116\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 9946045.\nAnswer: -29838135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29897\/15 - -1993. Let i = -3 - -2.8. Let d = 0.3 - i. What is the third smallest value in u, 0.3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 5*r + 1. Let l be 3\/(-7) + (-10)\/(-7). Let k be w(l). Calculate the highest common factor of 18 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2387538 and 828?\nAnswer: 4775076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -59*d**5\/20 + d**3\/6 + 21*d**2\/2 + d - 3. Find the second derivative of u(m) wrt m.\nAnswer: -354*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - 5*p + 1. Let d be y(5). Suppose -5 = 5*h - 20. Let o be 128\/24 - d\/h. Solve 0 = o*q + f - 6*f - 25, 3*q - 15 = -4*f for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.07 (b) -566 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -124294 divided by 21\nAnswer: -124294\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 976681 is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -258\/5 + 52. Let h = 373 - 1863\/5. Factor -6\/5 - 2*c - h*c**2 + k*c**3.\nAnswer: 2*(c - 3)*(c + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -102 + 110. Let x = 15 - 23. Let s = b + x. Solve s = -0*c - 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/15*9\/6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 151 (c) 2\/5 (d) -171\/5 (e) -2\/11 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 151*j + 835. Let s be l(-5). Solve -21*a + 38 = s for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178*n - 179*n + 151 - 151.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 57*g**2 + 2*g - 5. Let d(m) = -m - 6. Let h be d(-3). Is l(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/9*(-144)\/36.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 715089, 2859957, 6434737, 11439429, 17874033, 25738549?\n\"Answer: 714956*f**2 + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f + 789. Give u(0).\nAnswer: 789","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 166\/29 - 2459\/232. Calculate the common denominator of 67\/24 and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.6 + 4.44. Let m = 5 + -4.84. Let k = s + m. Which is the second smallest value? (a) k (b) -4\/9 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/3, 1\/2, -1\/4, -2\/9, 2146?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 9.754\nAnswer: 1.9508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -o + 1 + 2, -20 = 5*h. Which is the closest to o? (a) 6 (b) 4 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -80 + 81. What is the fourth biggest value in 2\/15, -3\/2, -4, b?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(4\/(-9)))\/((-543)\/(-724)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6\/17, 2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - w - 2*i = -13, 7 = 4*w - i. Suppose w*l - 3 = 27. Calculate the smallest common multiple of l and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1)*(-1 + 0 + 2)*(29 + 32 + 97 + (-5 + 2 + 1)*(-2 + 3 + 1))*(-2*h + 0*h + 0*h).\nAnswer: -616*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 406 divided by 474\nAnswer: 203\/237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 5*y - 46. Let v be j(9). Sort v, -16, 5 in increasing order.\nAnswer: -16, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5257036819 to the power of 1\/3, to the nearest integer?\nAnswer: 1739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 23446 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6881*o - 47*o**2 - 6881*o - 18*o**2.\nAnswer: -65*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -0*s + 10*s - 14*s - 2*u, -4*s + 71 = -5*u for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1168749 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 276\/(-8)*((0 - 0) + -26). Let i = f + -142. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, c: 13}. What is prob of sequence kck?\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 11*u = 40, 5*s - 2*u = 202 - 161 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**2 - 39*z - 23. Determine j(20).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 289219 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (18 - 7)) + 24.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 1512, -4 in descending order.\nAnswer: 1512, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237 - 237 - 11*o**2.\nAnswer: -11*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*d - x = -32, -d = -3*x. Suppose 2*u + 26 = 5*u + v, 2*u + v = 18. Calculate the least common multiple of u and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6883 is divided by 287?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -5*v - 12. Let d be i(-3). Let b = d - -3. Let m = 63 - b. Does 9 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31590 by 270.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -163, -647, -1457, -2593, -4055, -5843?\n\"Answer: -163*u**2 + 5*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 33437137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**3 - 2*o**3 + o**3 + (-4 + 1 + 6)*(-2*o**3 - 1 + 1).\nAnswer: -9*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14129 - 2223. Calculate the remainder when q is divided by 46.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8978\/709 < -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 669761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -2778983.\nAnswer: -5\/2778983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 409 + -406. Let k(v) be the third derivative of 0*v - 1\/60*v**5 + 6*v**2 + 0 - 1\/24*v**4 + 1\/3*v**g. Let k(f) = 0. Calculate f.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47063850*s**3 - 6657745*s - 3 wrt s?\nAnswer: 282383100*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 258959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -37, -7 in decreasing order.\nAnswer: 0.3, -7, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7 + (1 - 3) + -1 - 0. Let f be 64\/((-40)\/(-10)) - -9. Put u, 0, f in decreasing order.\nAnswer: f, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 1108 = -86. Let u be x\/5 - 3\/(-15). Solve -3*r - 4 = -2*i - 0*r, 0 = 5*i + 5*r + u for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*t = -261*h - 62*t - 27, h + t = 9 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 5. Let l = -18258 - -18261. Which is the third smallest value? (a) u (b) l (c) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214956692 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {c: 3, q: 15}?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -2*f, -8*f + 12 = -4*f + y. Let z(r) = r**2 + 2*r - 3. Give z(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2. Let y(d) = 1140*d**2. Determine y(s(z)).\nAnswer: 1140*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -33 (b) -1\/6 (c) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oso when three letters picked without replacement from ssssossosssssossos.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 - (-44 - -21) - (21 + 4 - -1).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7608767.\nAnswer: 2339, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 185798 divided by 1?\nAnswer: 185798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/76 and 113\/5280.\nAnswer: 100320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 2 - 1. Let a(j) = -11*j + 1. Let v be a(1). Let i be 8\/v - (-1 + 0). Is r smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*d = -3*g + 6, -14 = -3*d - g. Let p(n) = 34*n - 3 + 12 - 2 - 35*n. Let a be p(d). Calculate the highest common divisor of 32 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1767 - -1768)\/((-1)\/(-2)). Factor 2\/7*f**j - 4*f + 0.\nAnswer: 2*f*(f - 14)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 5, 47, 0 in descending order.\nAnswer: 47, 5, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 1)*(-2 + 0 + 3)*(4 + 12 + 18)*(5*b + 11*b - 6*b).\nAnswer: 340*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of 0 + 2*n - 89\/6*n**3 + 0*n**2. Let x(h) = h**2. Calculate x(c(l)).\nAnswer: 7921*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 199981737 by -1.\nAnswer: -199981737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*n - 30. Suppose n*r = 8*r. Suppose 5*y - 27 + 12 = r. Solve 5*l + 6 = -y*b - 5, -3*l + b = 15 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u**2 + 59*u + 23. What are the prime factors of x(-42)?\nAnswer: 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/9 (b) 1 (c) -2\/3 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 104410 + 2?\nAnswer: 104412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 151693811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -399.47 minus 0.206569508?\nAnswer: -399.676569508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -406?\nAnswer: -401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 128\/12*90\/(-60).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.402948948 to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3872 - 3871.7. What is the closest to 0 in 4, 7, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lbp when three letters picked without replacement from {l: 2, e: 2, p: 1, b: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000011553 rounded to seven decimal places?\nAnswer: 0.0000116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 - 6 = 2*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2504.\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*b**2 + 533 - 533.\nAnswer: -28*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 1.162 (c) 1\/2 (d) 1431 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**3 - 12*t**2 - 6*t + 15. Let j be l(6). Let c = j + 49. Calculate the remainder when c is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, n: 1, i: 5, a: 4, r: 2}. Give prob of sequence rrad.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -10 - 11 - (-23 + 4 + 7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-6292)\/(-3630))\/(2\/6990).\nAnswer: 2, 13, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 163530 and 120060.\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + u + 282 - 94, 3*i - u - 142 = 0. Suppose i = 2*t + h, -5*h + 104 = -t + 5*t. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66\/5 + -13. Let c = 5\/6 - 47\/42. Sort r, c, -1\/3 in descending order.\nAnswer: r, c, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1086820 + 4?\nAnswer: -1086816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -220 + 2?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 2078944*v + 2078939*v - 41 = 0, 0 = 3*t + 4*v + 34 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + z**2 + 2*z)*(-z - z + 7*z) + 4*z**3 - 3*z**2 + 3*z**2.\nAnswer: 9*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 282*m - 4952 = -928 + 5564. Calculate the least common multiple of 728 and m.\nAnswer: 12376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16533 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 616.9423 - -0.0577. Let w = s + -617.1292. Let o = 0.13 + w. Round o to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -212*o + 1949 + 1497 + 794 for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 5284 = 2*r, 11453 - 3541 = 3*r + 4*z. Does 15 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175573571 to the power of 1\/3, to the nearest integer?\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x = 28*x. Let r(q) = -20*q + 33. Let y be r(x). Calculate the greatest common factor of y and 176.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11ca (base 16) to base 15.\nAnswer: 1539","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 5 (c) 19 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + -14 + 2 + -3.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -6*w. Let k(q) be the third derivative of 0*q**4 + 0*q + 1\/20*q**5 + 0 - 7*q**2 + 0*q**3. Determine z(k(l)).\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 52\/1099 in -0.5, 3\/4, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3\/62 + 37\/124. Which is the closest to t? (a) 0.05 (b) 6\/5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -18. Calculate the least common multiple of 3 and ((-3)\/(-4))\/(q\/(-40)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -3, -1\/3, -53\/31, 0.3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 3:40 PM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 556488171 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 9:08 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**2 + 3*y**2 - y**2)*((0 - 1 + 2)*(0 + 3 - 1) - 2 + 0 + 3 - 2 + 3 + 1 + 30 + 39 - 71).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 + -1 - (-749 - -763).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -424, -1497, -3626, -7171?\nAnswer: -12492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-4\/7))\/(x*x\/(x\/x**(1\/3))*x) assuming x is positive.\nAnswer: x**(-16\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.8145 + -0.1855. Let v = -8 + 6. Which is the third smallest value? (a) -16\/3 (b) 3\/5 (c) l (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 387491?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/(-52) - ((-74)\/8 + 9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2699?\nAnswer: 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of -p**5\/12 + 3*p**2. Let k(d) = 7*d**2. What is n(k(h))?\nAnswer: -245*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 2*c**2 + 5*c + 2. Let y(l) = 2*l - 8. Let n be y(6). Let m be q(n). Is ((-24)\/m)\/((-10)\/(-125)) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3 - 93*z**2 - 102*z + 192.\nAnswer: 3*(z - 32)*(z - 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of n**2\/2 + 1. Let d(h) = 12*h**2. Calculate k(d(b)).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**3 + 15*n**2 - 48*n - 281. Give f(-8).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -9. Suppose -5*y + p = 5*s - 3*s, s - 3 = 3*y. Let t(w) = -w + 9. Is 4 a factor of t(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 times -5829?\nAnswer: 454662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 30, 39, 26, -15, -90, -205, -366?\nAnswer: -579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2*u - 2, 5*g - 1 = g + u. Suppose g = 3*f - 7*f. Solve -5*a + f*a - 20 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95147.\nAnswer: 13, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*d + 132 = -0*d. Calculate the highest common divisor of d and 52.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -19*s**2 - 2604*s - 108. What is j(-137)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 3. Suppose 16*v + 17 = -63. Let x(c) = 1 + 2*c**2 + 1 + 3. Determine v*i(y) - 3*x(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**27*v)\/(v**(-2\/19)\/v))\/((v**(-15)*v)\/v**(-2\/31)) assuming v is positive.\nAnswer: v**(25351\/589)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/12 and 1\/200470.\nAnswer: 1202820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 135 = -g - 3*m, 3*g = 5*m - 151. Let x = g - -237\/5. What is the biggest value in -0.3, x, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 921 + 3593. Put f, 0.1, 0 in descending order.\nAnswer: f, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(8\/9)*m*m*m*m**11)**(-3\/10) assuming m is positive.\nAnswer: m**(-67\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 255*q**3 + 247*q**3 - 504*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2669200425 to the power of 1\/5, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x. Let l(b) = -80*b**2 + 137*b**2 - 424*b**2. Determine w(l(c)).\nAnswer: 367*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3679 + -3678. Which is the smallest value? (a) t (b) -72 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 813 divide 107879409?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in 2, 780, -18, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 74*o**2 - 5*o - 4. Let h be y(-1). Suppose -6*u = -879 - h. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + i - 46 = 0, 8*m + 3*i = 3*m - 42 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y. Let b(o) = 183 + 527*o - 751 + 191 + 190 + 183. Determine b(n(r)).\nAnswer: -527*r - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-51)\/54)\/17*(0 + 4).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*o + 30*o**3 + 177*o - 93*o.\nAnswer: 30*o**3 - 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 236376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 718\/2611 - -4\/373. Let t = 3.6 + -1.1. Let c = t - 2. Sort c, a, -1 in descending order.\nAnswer: c, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - -1 - (2 + -5 - -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*k**3 - 10*k**2 + 78966*k - 46193542.\nAnswer: -15*k**2 - 20*k + 78966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y + 6. Let a be k(-3). Which is smaller: -25\/4 or a?\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 13 (b) 7 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 123, 276, 489, 762, 1095, 1488?\nAnswer: 1941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 5, -0.132, -393.9?\nAnswer: -0.132","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 16*j**2 - 24*j - 26. Let w be u(14). What is the second derivative of -w*d + 148*d**3 + 2*d**2 - 23*d - 44*d**3 wrt d?\nAnswer: 624*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9245 or 9222?\nAnswer: 9245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1782*o**3*r**2 + 6*o**3*r - 20*o**3 - 6*o**2*r - o*r**3 + o*r wrt r?\nAnswer: -3564*o**3 - 6*o*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -55 + 57. Solve -2*f + o*z = z + 10, -2*f - 5*z + 14 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 e when two letters picked without replacement from dlllllllddedldddeld.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -558790 (base 15) in base 3?\nAnswer: -21200012221100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -427*z + 209*z - 360*z = -16762 for z.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 13 + 6.391657\nAnswer: 19.391657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/44160 - -65058721\/44160. Let i = k + -1482. Find the common denominator of i and -81\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 3 - 7, -4*r + 10 = n. Let h = -797 + 794. What is the closest to n in 2\/9, -2, h?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/24 and 2\/(-6) + (-885)\/(-180)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 27056369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of s**6\/120 - 2*s**5\/15 + 5*s**4\/12 - 2*s**3 + 7*s**2 + 4. Let l be o(7). Round l to 0 decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - (-3 + 5 - -6). Let f be -6*4\/y*2. Suppose 4*s - 20 = 4*d, s = 4*s + 4*d + f. Solve s*b + 10 = -0*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*w + 0)*(0 - 3 + 5)*(-33 + 33 - 2*w).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -80, -2, 5, -19 in decreasing order.\nAnswer: 5, -2, -19, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5223*x**2 + 51393?\nAnswer: 10446*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + 1497*n + 109531. What is q(-71)?\nAnswer: -1797","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h + 5*h + 3*h - 5*h.\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -45550?\nAnswer: -45541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -159 - -2?\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.99619 * -2.9.\nAnswer: -2.888951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/(-24) + (-110)\/(-8). Suppose -2 = 5*z + j. Let n be 1\/(-2)*(-5 + 1). Sort n, z, 3 in decreasing order.\nAnswer: 3, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 5*c = -10, 0*c + 32 = 4*a + 4*c. Let v = a - -17. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from wararrarwa.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -231 + -1221300332?\nAnswer: -1221301223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(931)*2)**2 + -5.\nAnswer: 4270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 440 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 4810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2490*m + 2526*m + 468 = 0 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 553706765?\nAnswer: 5, 47, 2356199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32638, 31999, 31360, 30721, 30082, 29443?\nAnswer: 28804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((o*o**7)\/o)\/o*o)\/o)\/o)\/(o*o**(-8)\/o)*o**(-7\/3)\/(o*o*o\/o**(-4\/3)) assuming o is positive.\nAnswer: o**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5143\/15 - -343. Let s(h) = -3*h + 27. Let l be s(10). Which is the closest to 0? (a) g (b) -1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3695969591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 56*x**5 + 44*x**4 + 36*x**2 - 44*x. Let b(k) = -k**5 - k**4 - k**2 + k. Let m(g) = -88*b(g) - 2*t(g). What is the third derivative of m(d) wrt d?\nAnswer: -1440*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 2*r + 6, -2*h + 0*r + 20 = -5*r. Let v = -3 + h. What is the remainder when 5 is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**2. Let i(x) = -450*x**2. Calculate g(i(z)).\nAnswer: -405000*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from -186.15215.\nAnswer: -186.55215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/9130032 and -47\/145692.\nAnswer: 27390096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 2 + 8\/4. Let j(k) = -7*k - 26. Let v be j(-6). Suppose m - h - 6 = 0, 18 = 4*m - 2*h + h. Solve -m - v = -f*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.181438135 rounded to 5 decimal places?\nAnswer: 0.18144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 7*q - 435 = 0. Find the second derivative of -6*z + 39 + 48 - q - 11*z**3 wrt z.\nAnswer: -66*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-18) - 804\/(-27). Let t = f + -21. Suppose 2*l = u + 3*l - 1, 0 = -2*u + 5*l + t. Solve u*i - 3 = 5 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159.58946 smaller than -3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**3*l + 5*c**3*m**2 - 2*c**3*m + 4*c**2*m**2 - 9*c**2*m - 2*c*l*m**2 + c*l*m wrt c?\nAnswer: 6*l + 30*m**2 - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*6\/(-8)*(-1 + -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 - 2913 - 95 = -772*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 631\/240 + -11\/48. Determine y, given that -3\/5*y + 0 - a*y**2 = 0.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -5*d. Suppose -x = -d*x. Let v = -6004\/4249 + 164\/607. Which is greater: x or v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18004 divided by -4?\nAnswer: -4501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 5)*(4 + 2*k - 4) - 29 + 49 - 27 - 3*k as s + i*k and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0)**(-16))**(2\/13)\/(n**(-4\/9)\/n**0)**(-2\/13) assuming n is positive.\nAnswer: n**(-8\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 5*a = 0, -o = -a - 4*a - 12. Let q be -3 + 3\/(o\/(-5)). What is the second derivative of 3*g**3 + g**2 + 9*g + 6*g**3 - g**q wrt g?\nAnswer: 54*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*m - 2 + 2 - 86*m.\nAnswer: 17*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -72010, 6\/7, -4\/3?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + -2 + (2 - 1))*-80. Let u be 6\/((-2)\/1)*y\/(-12). Suppose 0 = -3*q + 32 - u. Solve -4*p = -2*o + p - 23, 2*o - q*p + 20 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/6))**(-1\/32)*m**1*(((m*((m**(-7\/2)*m)\/m)\/m*m)\/m)\/m)\/m)**(-4\/35) assuming m is positive.\nAnswer: m**(173\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1187, 4817, 10877, 19373, 30311, 43697, 59537, 77837?\nAnswer: 98603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s**2 - s. Suppose -3*b = 32*l - 28*l, -3*l + 21 = -3*b. Let q(j) = 3 - l + 17*j**2 + 14*j**2 - 32*j**2. Give n(q(p)).\nAnswer: 4*p**4 + p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6327288 by 3.\nAnswer: 2109096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**2 + 1557*h + 4644 = 0. What is h?\nAnswer: -516, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b. Let l(a) = -87171*a. Calculate l(t(g)).\nAnswer: 174342*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millimeter in micrometers?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (m - m - m**2)*(-196 + 196 + 21*m**2) - 3*m**4 + 3*m**4 + m**4 as v*m**3 + w*m + b*m**2 + u + i*m**4 and give i.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 6*w**2 + 2*w + 4. Let h(k) be the first derivative of -k**3\/3 - k - 1. Let d(y) = -y**2 + 33*y + 104. Let c be d(36). Determine c*h(p) - j(p).\nAnswer: -2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.078 at most as big as -2\/700597?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o + 11. Let g be z(5). Suppose -4*p - g = -7*p. Differentiate 19*l**2 + 19*l**2 + 10 + 10*l**p - 18*l**2 wrt l.\nAnswer: 60*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 597725?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 22. Does 8 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -1 - 8811*w**2 + 1 + 8812*w**2. Let h(u) be the first derivative of 16*u**3 + 2. What is k(h(l))?\nAnswer: 2304*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 977*w**2 - 13480*w + 29. What is v(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19989 and 27765?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 787401010 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10006456 (base 7) in base 3?\nAnswer: 1112221211121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 7787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of u**6\/360 + u**5\/60 - u**3\/2 - 5*u**2. Let q(t) be the first derivative of g(t). Factor q(n).\nAnswer: n*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(64) + -2*sqrt(64)*-1)\/((sqrt(32)\/sqrt(2))\/sqrt(2)))\/((-1*sqrt(432))\/(-4*sqrt(12)*-2)).\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -70*n + 259 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 627*m**3 + 13*m - 22 wrt m?\nAnswer: 3762*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2017483.\nAnswer: 13, 155191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -512 = -8*a - 0*a. 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 -0.3 times -23226?\nAnswer: 6967.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4a6b (base 15) to base 11\nAnswer: -10a00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.3520051t?\nAnswer: 352005.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -229, -5, 0, 160 in ascending order.\nAnswer: -229, -5, 0, 4, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 13934.37364 + 6\nAnswer: 13940.37364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let 7*h**2\/3 + 3965853*h + 3399302\/3 = 0. What is h?\nAnswer: -1699651, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 40963 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -8*b**2 - 3*b + 5. Let f(a) = 4*a**2 + 2*a - 3. Calculate -5*f(p) - 3*t(p).\nAnswer: 4*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -2, 0, 11, -6.\nAnswer: -6, -4, -2, 0, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence egv when three letters picked without replacement from {w: 6, e: 1, v: 4, g: 3, j: 1}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*c**3*o*x**2 - 2*c**3*o + 51*c**2*o - 4*c*o*x**2 + o*x**2 wrt x?\nAnswer: -6*c**3*o*x - 8*c*o*x + 2*o*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + l**2 + 4*l + 1. Let t(m) = -m**3 + m**2 + 4*m - 80. Determine j(q) - t(q).\nAnswer: 2*q**3 + 81","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 333*j - 51541. Determine t(142).\nAnswer: -4255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -256*a**2*i - 804*a**2 + 203*a*i - 2*i + 588 wrt a.\nAnswer: -512*i - 1608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -1. Let d(u) = 16*u + 2. Let o(s) = 2*b(s) + d(s). Let h(w) be the first derivative of -w**2\/2 - 23. Calculate o(h(x)).\nAnswer: -16*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03914620421 to four dps.\nAnswer: 0.0391","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (((-372)\/3)\/2)\/(11\/(-110))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -375*s + 16914. Give h(45).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8 - (-1 - 2))*(-4)\/4. Suppose g*x = -4*s + 19, -2*s - 4 + 18 = 4*x. Which is bigger: s or 0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 98792043?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.4346 + 0.1094. Let j = t - -0.464. Let n = 4 - j. Round n to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 2\/3 (b) -175 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58 - ((42 - 23) + 15).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00025302125 to 5 decimal places.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x = -x - 45. Suppose t - 166 = 5*w, 0 = 2*t - x*w - 144 - 202. What are the prime factors of t?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.028 + 0.192. Let l = 0.04 + -0.02. Let r = y - l. Which is greater: r or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 229, 219, 197, 157, 93, -1?\n\"Answer: -z**3 - 3*z + 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**11*((l**(3\/2)*l)\/l)\/l assuming l is positive.\nAnswer: l**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 172*a**2 - 108*a**2 - 60*a**2 - 200*a**3 as i*a**3 + r + s*a**2 + b*a and give i.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h**3 + 2*h**3 + h - 3*h**3 + (-3*h**3 - 2*h**3 - h**3)*(-85 - 57 + 38) in the form d*h**2 + j + r*h + m*h**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 + -0.1. What is the closest to 1 in o, 1, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 12*m**2 + 12*m - 11. Let i be l(-13). Suppose 0 = -i*f - 2, 2*r + 3*f = r - 3. Let y(t) = -t**3 - 2*t + 3*t + 8 - 4. Determine y(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -151*z - 1. Let y be l(-1). Suppose 1084 = 5*n - 3*x, -x = n - 5*x - 210. Let a = n - y. Does 17 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 11*p**2 + 22*p + 5. Let q be t(-9). Let l(n) = -n**2 + 8*n + 54. Let m be l(14). Is m bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1932959*k**2 - 1 - k - 17*k**3 + 1932959*k**2 + (-5*k**2 - 2*k**2 + 5*k**2)*(k + 2*k - 2*k) as o*k + r*k**2 + w + a*k**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 194.505045 hours to weeks.\nAnswer: 1.157768125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 101 - 97. Solve v*h + 8 = 0, -2*h - 8 = -3*f - 4*h for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15267.23 + -15272. Round k to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 2*p**2 - 6*p + 5. Give u(3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r + 8. Let j be u(-4). Suppose -101 = -5*h - 0*h - q, -3*h + j*q + 56 = 0. Suppose -3*d = 2*d. Solve d = -z - 3*z - h for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 52*r**2 - 59*r**2 - 6*r**3 + 0 - 7 - 7*r. Let q(y) = 3*y**3 + 3*y**2 + 3*y + 3. Calculate -6*h(w) - 14*q(w).\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1981694 to the power of 1\/2, to the nearest integer?\nAnswer: 1408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30 - -43) + (-5 - 1) + 3 - (0 - 20)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 259034900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 2*r + 14 = 0, -62*r + 6 = -c - 58*r. Solve w = 3*w - c for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -4 + 13 - 25 - 28 - 5*g. List the prime factors of w(-10).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -13\/7*r**2 + 2\/21*r**3 + 24\/7*r + 19. Factor c(g).\nAnswer: 2*(g - 12)*(g - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 13*l**3 + 5*l**2 - 3. Let y(h) be the third derivative of h**5\/60 - h**3\/6 + 10*h**2. Let b(u) = p(u) - 5*y(u). Differentiate b(i) wrt i.\nAnswer: 39*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 2:27 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1612 and 80504060.\nAnswer: 2495625860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8213 - 14992 = -17*z. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 - 5850.1845765.\nAnswer: -5824.1845765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1704119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -105, -588, -1891, -4410, -8541, -14680?\n\"Answer: -66*t**3 - 14*t**2 + 21*t - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r - 4*w - 32 = 0, -5*w - 2 = -4*r + 16 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k**3 - 427697*k + 427697*k + 4191 + 0*k**3 in the form i + p*k + z*k**2 + l*k**3 and give i.\nAnswer: 4191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2.2, 0.1, 1?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1389217, -1389215, -1389215, -1389217?\nAnswer: -1389221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-532)\/((-4)\/(-1)))\/(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5226 (b) 0.1 (c) -5 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.01 (b) -5 (c) 1\/2 (d) -2089 (e) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -2.5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -97 + 97.0041. Let i = g + -0.004403. What is i rounded to five dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3169076 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -249.77 - 4.23. Let q = -270 - s. Suppose -2*k + 3*k + 2 = 0. Sort k, 4\/5, q in descending order.\nAnswer: 4\/5, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.2 + 5.2. Suppose 5*x + 5*u = 15, x - 2*u = -4*u. Let w(l) = -l + 7. Let t be w(x). Which is the second smallest value? (a) 1\/3 (b) o (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 15) to base 12\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8498243?\nAnswer: 13, 653711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**17*o)*o**(1\/2))**(2\/89) assuming o is positive.\nAnswer: o**(-33\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.008583nm in millimeters?\nAnswer: 0.000004008583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of d**6\/60 - d**5\/20 - 2*d**4\/3 - 7*d**2 + d. What is the second derivative of y(h) wrt h?\nAnswer: 12*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - k**4 - 2 + (0*k**2 + 3*k**2 - 4*k**2)*(2*k**2 + 3 - 3) - 2*k**4 - k**4 - k**4 + (k**3 + k**3 - 3*k**3)*(-7 + 3 + 1)*(0*k - 2*k - k).\nAnswer: -16*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x - 45 = 12*x. Suppose x*p = 7*p. Let y be (p + 1)*(2 + -6 + 2). Which is bigger: y or -18\/11?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 541.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2*(sqrt(7) + -2).\nAnswer: -3 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) -0.5 (b) 1\/7 (c) 305 (d) 30.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3026)\/(-10))\/(2\/9). Let z = -1364 + f. Calculate the common denominator of z and 13\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*m + 5*m. Suppose 1 - 5 = -m*v. What is the third derivative of -g**3 + g**2 + g**3 - v*g**4 wrt g?\nAnswer: -48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-9))\/((-5096)\/546)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -3*t - 5, 0 = 1077*d - 1074*d + 2*t + 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 1158*w**2 + 50*w - 98. What is the tens digit of g(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hd when two letters picked without replacement from hhdbhshsrdhrhr?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4167*-0.7.\nAnswer: 0.29169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13809 - -11728. Let f be 46538 - 1\/(-1 - -2). Let t = f - k. What is t rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-6)*z**(-4))\/(z**(-2\/3)*(z**(2\/13)\/z*z)\/z))**39 assuming z is positive.\nAnswer: z**(-331)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 0*y + 4*y + 2740, -4*g + 3*y = -2735. Suppose 2*w + 0*w = g. What is the tens digit of (-2)\/(-6)*(w - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11415 - 11381) + -7 + -2\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -0.059, -2\/7 in decreasing order.\nAnswer: 2\/5, -0.059, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1195*s**2 + 1191*s**2 + 1187*s**2 - 5959*s**2 + 1192*s**2 + 1195*s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 389887?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 301 - 298. Let o = -6 - -16\/3. Put a, -1, o in descending order.\nAnswer: a, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11\/(891\/6))\/(60\/(-96)*56\/21)\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**3)**(-34\/7))**(-3)*(v**(-1)\/v*v*v*v)**(2\/15)*v\/((v\/(v\/v**3*v)*v)\/v)*(v**(-1\/4)\/v)\/v assuming v is positive.\nAnswer: v**(17051\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215136.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 215550552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 628*x - 772*x**2 + 618*x - 1249*x as l + y*x + t*x**2 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*w - 130 - 185 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 174825 to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.7 from -195.8968.\nAnswer: -196.5968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-10))\/((-760)\/50)*(-16)\/(-36)*-12.\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-21)\/(-28)*(-192)\/(-2664))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1801830207.\nAnswer: 3, 1721, 348989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1046 a factor of 9768594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4*-10 - (-4 + 2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 3 = -5*j + 2*w, 4*w = -12. Let g = -289\/3436 - -2\/2577. What is the nearest to 2\/13 in g, 0.1, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 4*k - k = -3841, -5*t + 4805 = -3*k. Let a = -488 + t. Suppose -5*z + a = 2*z. List the prime factors of z.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 38) + -8 + 13 + (-4 - 1).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*c - 3 + 2 + c)*(-17 + 56 - 42)*(-2*c + c**2 + 2*c) as x*c**2 + l + f*c**3 + g*c and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 - -32. Suppose h - 4*h = 5*w - 16, 0 = -2*w + 3*h + 19. Suppose w*i = 30 - 5. Calculate the remainder when o is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 128*n**2 + 3. Let p be y(2). Let v = p - -645. What is v rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 6*l + 5*m - 82243, 2*l - 41111 = m. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 412\/104 + -4*1. Let x = 107\/78 + t. Determine u so that x*u + 0 + 2\/3*u**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + -1 - (-103)\/114*-3. Let p = 641\/114 - q. Solve -p*f**2 + 0 - 7\/3*f**3 - 4\/3*f = 0 for f.\nAnswer: -2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2541094 at least as big as 2541093?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 86617429?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 168*j**2 + 351*j + 1144. Calculate i(-170).\nAnswer: -726","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30356428*a - 4320 = 30356482*a for a.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 2:49 PM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2482 + 2800. Calculate the highest common divisor of 530 and z.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -369*l - 1 - 22*l + l. Let n(w) = w. What is n(j(t))?\nAnswer: -390*t - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -62.3 - 3.3. Let d = x + 29. What is d rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -195, -184, -167, -144, -115?\n\"Answer: 3*d**2 + 2*d - 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/16 and -45\/88.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4\/15 (b) 4.12 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 e when three letters picked without replacement from ffiiieieie?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i + 5 = -19*i, 3*j - 935 = -4*i. Let x = j + -148. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 10:44 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -649*v - 1110741 = -1191217 for v.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -76*y + 1899. What is c(25)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -425403 + 425?\nAnswer: -424645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 11\/44 - (-17274)\/(-8). Let i = b - -15168\/7. What is the common denominator of i and (1\/(-1 - 460\/(-465)))\/(-8)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 819 by -3.\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 7 = y - 1, -2*f - 20 = 4*y for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-18))\/(((-27)\/(-3))\/54).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 65 = 68. Let k be (-140)\/120 - b\/2. Factor 1\/3*a + k*a**2 + 0.\nAnswer: a*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134908 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226 - 300 = -8*q - 394 for q.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 5*t + 30 = 3*d, 3*d = 6*t + 36 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 196 + 11 - 2 + 1 + 0 + (3 - 2 - 2)*(-3 - 4 + 5) + 4 - 3 + 0)*(0 + 0 + r)*(0*r - 2*r + 5*r) to b*r**2 + c*r + f and give b.\nAnswer: 636","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/6 and -2\/5469.\nAnswer: 10938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 75 - 42 = 0. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 487*l + 492. Calculate w(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((430\/(-76110))\/(((-3)\/(-18))\/1)).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19.3 + -23.3. Let m = -0.1 - -0.1. Is w at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -53 + -6 + 16 + (20 - 12)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5887 + -5853. Solve 0 = 10*y + 4 - l for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1107 - 307 = -5*z. Which is smaller: -159 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -521*y + 505*y + 371568 = 0. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -378 (base 10) to base 9.\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -63?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 2*o**2 - 9*o - 32. Let s = 524 + -528. Let d be k(s). Calculate the highest common divisor of 12 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -4903*p**3 + 6*p - 6. Let u(x) = 9807*x**3 - 11*x + 11. Determine 11*r(t) + 6*u(t).\nAnswer: 4909*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - v = w + 26, -w + 3*v = 2. Solve -i - 5*q - 7 = -4, -3*i + w = -4*q for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + (49 - 51 - (1 + -10 - -5)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-4041)\/(-405) + -10)\/((-20)\/(-906)) and -46\/125.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 356\/2*(-4)\/(-8)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 6. Put u, -5, -1\/3 in increasing order.\nAnswer: -5, -1\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2067 - -2063. Are 699 and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*u + 146*u - 2*k = 6, k = -2*u - 9 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76185982?\nAnswer: 2, 23, 71, 23327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 460381455*k**5 - 309208412*k wrt k?\nAnswer: 9207629100*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 192589645277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 785 + 165. Let c = 579 + -575. Suppose -568 = -c*o - d. What is the remainder when o is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -16*m**2. Let p(v) = 185*v + 186*v - 372*v. Give p(u(n)).\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134683 is divided by 44891.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3 = 5. Let w be ((-4)\/(-5))\/(s\/20). What is the second smallest value in -2, w, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 8) to base 12\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -36, -47, -72, -117, -188, -291?\n\"Answer: -t**3 - t**2 - t - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 86 = 5*j + 131, 0 = 3*l + 3*j - 3. Let q = 25.89 - 26. What is the third smallest value in -1, l, q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11700, -47865, -108132, -192495, -300948, -433485?\n\"Answer: o**3 - 12057*o**2 - o + 357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6b79 (base 14) in base 12?\nAnswer: aa07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26880 - -31207. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*b**2 - 6*b - 6*b + 12*b.\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3475*h - 3159 = -3553*h + 195 for h.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 26 (b) -0.46 (c) -3 (d) -15 (e) 0.192\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -4*p. Let w(i) = 3*i. Let y(r) = 2*t(r) + 3*w(r). Let b(q) = 5*q. Let o = 0 + 1. Suppose a - o + 4 = 0. Calculate a*y(x) + b(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c + 7*c + 11292 = 0. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16262 divided by -6.\nAnswer: 8131\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -940\/7 - -946\/7. Factor 2\/7*j**4 + 2\/7*j + x*j**2 + 0 + 6\/7*j**3.\nAnswer: 2*j*(j + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -4*a - 8. Let s be (-1 + 0 + 1)\/(-2). Suppose -d = -s - 2. Let h(y) = 3*y + 7. Let w(l) = d*g(l) + 3*h(l). Determine w(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 7:42 AM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 - 36.7. Let i = 20 - 22.8. Is i greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3 (b) 0.24 (c) 5 (d) 678\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.0889 times -0.0088\nAnswer: 0.00078232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11490 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14094 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/49008 and 73\/80846864.\nAnswer: 242540592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**2 - 7*d**2 + 7*d**2. Let l(r) = 2*r**2 - r**2 - 2*r**2. What is m(l(j))?\nAnswer: -2*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 366 - 565. Let t be (-37 - -43) + 1*j. Is -192 at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 307079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/130 and -9\/143.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 11*c**2 - 668*c - 3054. Calculate p(65).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a - 257?\nAnswer: -274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 8:30 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2410 or 2375?\nAnswer: 2375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 6*t**2 - 2*t. Let b = 25 + -35. Calculate the remainder when a(-6) is divided by (-5)\/b - 26\/(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 8:17 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15)\/6 - 37940\/(-14840). Do y and 8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of u**7\/5040 + u**5\/30 + 4*u**2. Let a(z) be the third derivative of m(z). Let r(h) = 3*h. Give r(a(f)).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -0.2 (b) -0.4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.4 (b) -9\/10 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 76388 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*27674\nAnswer: 2767.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -200, -212, -238, -284, -356, -460, -602, -788?\nAnswer: -1024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 18. Suppose w - 3*w = -3*h + 24, w - 4*h = -c. Let x(k) = k**2 + 4*k - 13. What are the prime factors of x(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -y - 14. Let c = y + 14. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212290705 to the power of 1\/3, to the nearest integer?\nAnswer: 597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + s**5 + 1 + (-3*s + 3*s + 2*s**2)*(-7*s**3 + 0*s**3 + 4*s**3) - 2*s**5 + 2 - 2 - 27*s**5 + 28*s**5 + 3*s**3 - 14*s**3.\nAnswer: -6*s**5 - 11*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1152 is divided by 176?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 + -25. What is the closest to j in 0.1, 1\/4, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 52*x - 1. Let y(t) = 3*t. Let f be y(1). Is l(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnsanniiiiiiiiiinsn. Give prob of sequence ans.\nAnswer: 7\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p - 124. Let v be t(0). Let s = 617\/5 + v. Let f = 3 + -3.2. Which is the closest to -1? (a) f (b) -0.1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r - 2*r + 8*r)*(-4*r**2 - 2*r**2 + 3*r**2 + (1 + 4 - 4)*(2*r**2 - 3*r**2 + 2*r**2)).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2817*w**3 - 1542*w**3 - 633*w**3 - 635*w**3.\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhpoxohxhposhohhshp. Give prob of sequence ssh.\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4455 by 495.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1624807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 5*s - 2*s)*(3 - 83*s - 2 + 1 - 2).\nAnswer: 664*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - 1\/(2\/4). Let d be (24\/28)\/(s\/(-7)). Calculate the greatest common divisor of d and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - q - 11. Let m be h(-5). Suppose -3 = -3*t - 3*n - 0, 4*t + n - m = 0. Solve 0 = -5*b + u + 6, 3*b - 3*u + t = -0*u for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5278095631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 4*v - 114, b - 366 = -5*v - 291. Let z be ((-2)\/(-2) + -30)*-7. Determine u, given that 26 + 3*u**3 + 144*u - 37 - b*u**2 + z = 0.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 132*i. Let y(h) = h. Determine 3*n(r) - 462*y(r).\nAnswer: -66*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + 57\/(-15))*5. Let n = -4 - g. Let m be 15\/n - (-34)\/4. What is the greatest common factor of 110 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(60)\/sqrt(4)*1 - (-2*sqrt(15)*-1 + sqrt(15))))\/((sqrt(45) + sqrt(405) - (sqrt(605) - (-1*sqrt(605) - sqrt(605))))*-5).\nAnswer: 8*sqrt(3)\/105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3059799 divided by 879.\nAnswer: 3481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1256124 minus 1570.6?\nAnswer: 1254553.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -15*f - 80. Does 11 divide (-343)\/f - (-25)\/(-225)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 31, 141, 441, 1027, 1995, 3441, 5461?\n\"Answer: 16*m**3 - m**2 + m + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10275, -10267, -10259?\nAnswer: -10251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 224.1372ng to kilograms.\nAnswer: 0.0000000002241372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/786, 1427, 4.\nAnswer: 1\/786, 4, 1427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/3, 2\/15, 3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*-2 - (1 + 1). Let j = q - -10. Are 4 and j equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 59453, 475738, 1605661, 3806042, 7433701, 12845458, 20398133?\n\"Answer: 59470*v**3 - v**2 - 2*v - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i - 1. Let f(x) = 8*x + 5. Let d(v) = -f(v) - 6*k(v). Let y be d(-1). Let q be 0 - (-5 + 0 + 2). Is q at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2046969077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 840, 7795, 14746, 21693, 28636, 35575?\n\"Answer: -2*u**2 + 6961*u - 6119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(2\/13)\/f*f)**(-34))**(3\/38) assuming f is positive.\nAnswer: f**(-765\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1776 (base 9) in base 4?\nAnswer: 111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14.69 + 363354854.\nAnswer: 363354839.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11902566 divided by 13.\nAnswer: 915582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 2*f - 8. What is the smallest common multiple of f and (0 + -9)*2*-1?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 734486231.\nAnswer: 97, 1381, 5483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2684\/11997 + -2\/1333. What is the fourth smallest value in c, -2\/3, -78\/55, -0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11308887 to the power of 1\/3, to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002655 rounded to 7 dps?\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(104))\/sqrt(8) + (sqrt(26)*-4)\/sqrt(2).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 50*l**3 - 70*l**2 - 738*l - 810 = 0.\nAnswer: -9\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -287, -9\/8, -1?\nAnswer: -287","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**2)**(-15))**(8\/9) assuming x is positive.\nAnswer: x**(-80\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 20, -5, -12 in descending order.\nAnswer: 20, 0, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -110*x + 2. Let t(g) = 55*g - 1. Let m(v) = 3*h(v) + 5*t(v). Does 23 divide m(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((40\/7)\/10)\/(20\/70)*-17.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/2*16\/(-84). Let j = 103.9 + -104. Which is the second biggest value? (a) y (b) j (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -87 + 91. Suppose z*g + 2*a = -a + 142, 2*g - 64 = 2*a. Does 5 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**5\/3 + 601*o**4 - 12880*o**3\/3 - 126100*o**2 + 1086000*o = 0.\nAnswer: -1810, -15, 0, 10, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - 11*w**2 - 28*w - 65. Let b be o(-9). Let q(z) = z**3 - 26*z**2 + 27*z - 40. What is q(b)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*r + 28. Suppose -4 = y - 0*y, 5*b - 14 = y. Suppose 0 = -5*w + 25, 0 = -b*u + w + 123 + 48. What is the greatest common factor of u and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -215*d - 855. Let c be m(-4). Solve c*t - 10 = -15 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36911 divided by 5680.\nAnswer: -36911\/5680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of q**5\/20 + 3*q**4\/4 - 13*q**3\/6 + 6*q**2 - q. Let r be f(-10). Let i = 77 - r. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -42096.\nAnswer: 1\/10524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4728*b**5 + b**3 - 87463*b**2.\nAnswer: 283680*b**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5846.\nAnswer: 2, 37, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rqqqqqqwqqq. What is prob of sequence wr?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/18 - (-50)\/18. Suppose -m*b = -b - 6. Let n(z) = 368*z + 1 - 5 - 367*z. Determine n(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -235*19039\nAnswer: -4474165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 10*b**2 + 6*b + 3. Let a(q) = 11*q + 26. Let i be a(-11). Let t = i - -104. Give w(t).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 371, 388, 405, 422?\n\"Answer: 17*f + 354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 88048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14.77 - 13.47. Which is bigger: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 4*m = -2004 + 2050, -3*m = 4*d - 19 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 298796519 to the nearest integer?\nAnswer: 669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - 6*f + 6. Let j be v(5). Let u be (-3)\/j - (-247)\/95. What is the third biggest value in u, 4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 5*p**4 + 3613*p**3 - 501846*p**2 + 696940*p - 198712 = 0.\nAnswer: -842, 2\/5, 1, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11042*k*y + 21624179*k + 241*y with respect to y.\nAnswer: 11042*k + 241","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7371846?\nAnswer: 2, 3, 17, 24091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, 7, -2\/25?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 y when three letters picked without replacement from {y: 11, k: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -9*p + p**3 + 0 + 7\/2*p**2 - 1\/12*p**4. Let o be x(7). Solve -5*t + t = o for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 175.9716m to kilometers.\nAnswer: 0.1759716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 421 a factor of 1482385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + (-3)\/(-3) + 9 + -7. Suppose -2*t + i = -1. Factor 29*d**t - 13*d**2 + 2*d**3 + 2*d**3.\nAnswer: 4*d**2*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 1:30 PM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -1\/105*g**7 + 0*g**4 + 4*g**2 + 0*g + 0*g**5 + 0 - 1\/3*g**3 + 0*g**6. What is the first derivative of z(q) wrt q?\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*s**3 - 2 + 0 - 10*s**3 - s**4 - 4*s - 5*s**2 + 5*s**3 to the form v*s**3 + p*s + x*s**2 + l*s**4 + n and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1*-1 - -2)*0. Let k(a) = 11*a**2 - 12*a + 9. Let v be k(1). Suppose 0 = v*n - 32. Solve y = -q + n*q - 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18707?\nAnswer: 13, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.589892l?\nAnswer: 4589.892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from bccbqwqcqwdcbb.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -1, 3, 10 in descending order.\nAnswer: 10, 8, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1882, 5, -2, -1, 3, 13.\nAnswer: -4, -2, -1, 3, 5, 13, 1882","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -9*m + 45. Suppose -3*j + 2*j - 3*h + 35 = 0, 65 = 2*j + m*h. Does 5 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2849551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (573001 - 0) + 0 + -1. What is l rounded to the nearest ten thousand?\nAnswer: 570000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/101, -1.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 91288 at least as big as 91287?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37224, 26, 43 in increasing order.\nAnswer: -37224, 26, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 + 56. Suppose -2*d = -5*j + x, 0 = -j + 2*d - 6*d + 9. Suppose t - 5*t - 4 = 0, -5*t + 285 = j*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -42 - -40?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 250*q**5 + 12*q**4 - 4*q**2 - 18*q + 510 wrt q?\nAnswer: 5000*q**3 + 144*q**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -29*m**5\/60 + 23*m**3\/6 + 15*m**2 - 9. Let r(k) be the second derivative of j(k). What is the derivative of r(n) wrt n?\nAnswer: -58*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1553161.7 take away -0.0202?\nAnswer: 1553161.7202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 873 is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*m + 2 = -48*m. Suppose 0 = p + p + m*j + 6, -3*j = 4*p + 9. Solve p = -3*t - 0 + 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -86 - 4. Let l = 23 - z. Let s(w) = -6*w - 4*w**2 + 1 + w**3 - 1. Determine s(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 + 4*g - 8. Let w be y(-6). Solve -4*b + w = -16 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107144697.\nAnswer: 3, 11, 89, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-140)\/(-40)*(3 + (-2 - 24\/28))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 a factor of 8019034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 57 + -41. Let w = h + -15.9999604. What is w rounded to 6 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 1 - 4)*(2*f - 2*f + f) - 2*f + 0 + 0 - 5*f + 0*f - 2*f in the form x*f + g and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 - x**2 - 8*x**3)*(-2 - 1 + 1) + x**2 - x**3 - x**2 + (-x**2 + 2*x**2 + 0*x**2)*(0*x + 0*x - 2*x).\nAnswer: 13*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/11)\/v**(5\/2))\/(((v\/(v*v**(-5\/6)))\/v)\/((v*v*v**(4\/3)*v*v)\/v)) assuming v is positive.\nAnswer: v**(21\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*l - 22 = 0, 0*r - l = -4*r + 12. Suppose -4*j + 2*i - i + 15 = 0, r*j + 4*i - 30 = 0. Let m = j - 0. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5437 (base 10) in base 14?\nAnswer: -1da5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20976 or -20972?\nAnswer: -20972","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 192 = 5*y. Let c be (y\/(-20))\/((-2)\/(-5)). Let m = 27 + -2. Solve -3*u + c*u - m = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30\/214889 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*d - 140200. What is d rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 104846, 104844, 104842, 104840?\n\"Answer: -2*b + 104848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -206575.24787 to the nearest integer.\nAnswer: -206575","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113378 is divided by 113339?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2818567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -192.67622 + 3\nAnswer: -189.67622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -11*w + 2 - 6 + 3 - w. Calculate l(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 2*w**2 - 8*w - 10. What is x(-4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 15 (b) -1 (c) 1\/3 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -1.9. Let q = -6.4 + 7. Let w = -1.1 + q. Which is the second biggest value? (a) 4\/3 (b) i (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16 + (3 - 12\/5)*125\/15. Solve 17 - d = w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-1 - -14 - (14 - 11)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 8*a**2 + 20*a + 27. Let u(q) = -3*q**3 + 18*q**2 - 39*q - 55. Let l(d) = 5*m(d) + 2*u(d). Is l(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 12*q. Let p be z(1). Let a = p + -9. Solve -6*i + 3*i**2 - 4*i**4 + i**4 - 2*i**3 + 8*i**a = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11121 (base 3) to base 13\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**10*((v*v*v**(1\/4)*v)\/v)\/v*v*v\/(v**(-20)\/v)*v*v\/v**(-26))**(-8) assuming v is positive.\nAnswer: v**(-498)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/23 (b) 601 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*r - 858075904039 + 858075904039.\nAnswer: -14*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 290*l + 27. Let i(h) = -218*h - 21. Let d(t) = 9*i(t) + 7*v(t). Let q(p) = 49*p**2. Give q(d(f)).\nAnswer: 226576*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*k**4 + 655*k**3 + 2770*k**2 + 1560*k.\nAnswer: 5*k*(k + 4)*(k + 39)*(3*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -80*q**5 + 21720*q**4 - 1424325*q**3 - 6810320*q**2 - 3136740*q - 380880 = 0.\nAnswer: -4, -1\/4, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 205170709 or 205170711?\nAnswer: 205170711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 5 = 0, -2*k + 3*k = -z + 11. Solve 0 = -3*s + k, -18 - 22 = 4*p - 5*s for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 4*j + 81 - 91, 5*o = -4*j + 25. Solve -n = o*v + 23, -13*v + 8*v + 2*n - 14 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22290.2? (a) 0.14 (b) -3 (c) 5 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 98 = 2*f, -3468 + 3400 = -2*y for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4394?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 l when two letters picked without replacement from klyskskysksklkol.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.3 + -3.61. Let i = m - -0.11. Let o be (-16)\/32 + 26\/20. What is the second biggest value in o, i, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 223 (base 4) to base 16\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2348445 and 40051?\nAnswer: 25832895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -4*r + 1, 71 = 5*r + 2*f + 69 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -788325 divided by 157665.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9369533 and 3865.\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 54*c - 294. Let w be l(41). Let j = 241 - w. Solve -v = 3*m - j, -3*m - 2*m + 2 = 2*v for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1248272?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 13 = q + 19, -3*o - 21 = 4*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aqoeq. Give prob of picking 1 o and 1 q.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12\/(16*15\/87600) is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -177 - -7337a?\nAnswer: 73203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1844\/4763 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) 271 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 196\/(-240)*(-2376)\/2772.\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 598*p + 16147. Determine c(-27).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -2*m + 4*j, -3*m + 41 - 1 = -2*j. Suppose -6*b = -m*b + 20. Suppose b*w - 303 = 2*w. Is w a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-198.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1523826 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1757599773.\nAnswer: 3, 585866591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 344?\nAnswer: -345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**2 + 37*l - 53. Let g be u(17). Suppose -3 - 12 = 3*k. What is the smallest value in g, k, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 2*j - 2*j**2)*(-1 + 1 - 3*j)*(-89 - 73 + 465).\nAnswer: 1818*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 30, 41, 52, 63?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -222532 - 0?\nAnswer: -222532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 11 (b) 0.4 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42920, -42868, -42752, -42542, -42208, -41720?\nAnswer: -41048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 83.40441t?\nAnswer: 83404.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v**2 - 6278*v + 3089863. Give x(1301).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 2*a + 3. Let f be (-3)\/(-2) + (-12)\/(-8). Let i be l(f). What is the first derivative of -3*s**2 + i - 3 + 0 + 0 wrt s?\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (136 + 14 + 208 - 77)*(4 - 6 - 4)*(-2*l - 2*l + 2*l)*(4 - 3 + 0).\nAnswer: 3372*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2\/7, 1, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22*h**2*w**3 + 13*h**2*w**2 + 430*h**2 with respect to w.\nAnswer: -66*h**2*w**2 + 26*h**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 1. Let y be -3*(-1)\/(-15)*-5. Let a(v) = 3*v**3 - 6*v**2 - 3*v - 6. Let t(o) = y*a(o) - 6*m(o). Suppose t(i) = 0. What is i?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 332 = a + 3*x + 356, -16 = -3*a + 2*x. Solve -41*r - 20 + 143 = a for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2567596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2016\/(-720)*20\/8*4\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 157843951?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by 4267.\nAnswer: 14\/4267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.2, 1\/7, -1\/2, 1\/2, -5 in ascending order.\nAnswer: -5, -4, -1\/2, 1\/7, 0.2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 13*f - 14. What is g(11)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**4 - 60*b**3 - 442*b**2 + 240*b + 1800.\nAnswer: -2*(b - 2)*(b + 2)*(b + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4) + -3)\/((-1)\/(-2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/7 (b) 0.071 (c) -2\/43 (d) -2 (e) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.3 * -734.\nAnswer: 5358.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 9:32 PM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -1.6 (b) 2 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-24)\/(-9) + 1\/3. Let j(g) be the second derivative of -4*g + g**o - 13*g**3 + 7*g**3. Let m(b) = -2*b**2. Give m(j(k)).\nAnswer: -1800*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, d: 1, q: 4, b: 2}. What is prob of sequence qh?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -45*i**3 + 5*i**2 - 6. Let j(f) = -92*f**3 + 11*f**2 - 13. What is -4*j(q) + 9*w(q)?\nAnswer: -37*q**3 + q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2818037, -5636080, -8454123, -11272166, -14090209?\n\"Answer: -2818043*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20320 + 11322114?\nAnswer: 11301244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 135354.5309 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72900)\/(-972)*4\/(-6)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of y**3 + y**2 + 174253*y - 6194042 wrt y.\nAnswer: 3*y**2 + 2*y + 174253","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8314*i**2 + 4710?\nAnswer: -16628*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 435*n = 537*n + 1836 for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(-6 - (-2 + -1)). Let q(u) = 15*u**2 - 2. Is q(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*o = -5*i + 3, 0 = -4*o + 2*i + 10. Suppose h + o = 2*h. What is the units digit of h*(-10)\/(-4) + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 831496958?\nAnswer: 2, 103, 4036393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 35.9 and 4?\nAnswer: 31.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/12 and -125\/6604092.\nAnswer: 6604092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**4\/9 + 2*c**3\/9 - 8*c**2\/3 + 8*c\/9 + 32\/9 = 0. Calculate c.\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j + 3*j - 2*j + (1 - 8 - 2)*(1 - 1 - 5*j)*(1 - 1 + 3).\nAnswer: 134*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 5*n**3\/3 + n**2 - 9*n - 7. Let b be h(-4). Suppose 2*x + x - b = 0. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5\/14 + 43\/42. Let w be (-8)\/(-6)*54\/(-16). Let u = 14\/3 + w. Which is the second biggest value? (a) u (b) 2\/7 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**1*k)\/((k\/k**(-2\/11))\/k))\/((k**1*k)\/((k\/(k\/(k\/k**(-1\/10)*k)))\/k)))**(2\/107) assuming k is positive.\nAnswer: k**(211\/5885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 5.1. Let k = y + 1.4. Let h = k + -1.50052. What is h rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/(-6)*-2*3\/(-2)*(-663)\/2210?\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 135 = 3*m - 3*k, 4*m = -k + 115. Let l(o) = o**2 - 2*o. Let x be l(2). Suppose x = -5*f + m + 160. What is the remainder when f is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 3 = -h, -h = -4*u + 78440 - 78437 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 572 is divided by 71.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of a**4\/12 - a**3\/3 + a**2\/2 - 5*a. List the prime factors of w(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of 11*s**5\/60 + 2*s**3\/3 + 4*s**2. Suppose 9*d + 2413 = 2440. Let f(u) = -10*u**2 - 3. Calculate d*c(p) + 4*f(p).\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -33, 4, -4 in increasing order.\nAnswer: -33, -4, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113728 is divided by 10337.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -600 + 20*v - v**2 + 2*v + 610 - v**2. Let o be r(11). Solve -5*w + o = -3*z, 0 = z + 3*z + 2*w - 30 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 308.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2133 a factor of 37265643?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 plus 1313398.462?\nAnswer: 1313399.062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6621, -6616, -6611?\n\"Answer: 5*o - 6626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 1)*-3*(-840)\/9. Suppose -l = 6*t - 310. Solve 0 = -t*h + 4*u - 26, -2*u + 2 = 3*h - 0*u for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 491*u + 18677. Give x(-38).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1574114 to the power of 1\/2, to the nearest integer?\nAnswer: 1255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 1 (b) 0.1 (c) -4 (d) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -39 (b) 0.059 (c) -0.4 (d) 2 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/21 and -109\/52158582.\nAnswer: 52158582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3b - 2?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**3 + 3*k**2 - 3*k - 5. Let s be (-54)\/15*15\/(-3). Let d = 13 - s. Let j(t) = -5*t**3 + 5*t + 2*t**3 - 4*t**2 + 9 - t**2. What is d*o(n) - 3*j(n)?\nAnswer: -n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 150014 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49141808, -98283611, -147425414, -196567217, -245709020?\nAnswer: -294850823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -3, 142.8, -2, -0.03, 1\/5 in ascending order.\nAnswer: -3, -2, -0.03, 1\/5, 0.3, 142.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**3)**24*(k**(1\/2))**(3\/8) assuming k is positive.\nAnswer: k**(1155\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -6198*t**2 - 479*t + 6225*t**2 + 6*t**3 + 480*t + 8 in the form h*t + r + z*t**3 + u*t**2 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**3 + 0*b**3 + 0*b**3 + (-1 - 2 + 4)*(-b**3 - 2*b**3 + b**3) - 3*b**3 + 5*b**3 - b**3 - b**2 + b**2 - 2*b**3 to l*b + x*b**2 + f + g*b**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/4)\/y)**(8\/5))**(9\/4) assuming y is positive.\nAnswer: y**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -b - 2*b. Let w be 11\/(-66) - 26\/(-12). Solve -w*x + 4 = -b for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 3 (c) 27 (d) -1416\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32243233 - 441?\nAnswer: -32244224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 74 + 36 - 22*o**2.\nAnswer: -22*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 332 = 4*x + m - 215, 2*m = 5*x - 687. Suppose 0 = -132*y + x*y. Solve r + f - 1 = y, -5*r - 2*f + 1 = f for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 - 4*a**2 + 4*a**2)*(-1945 + 1880 + 5*a - 4*a).\nAnswer: -2*a**3 + 130*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.06, 5, 10, 1 in ascending order.\nAnswer: 0.06, 0.3, 1, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 2.09. Which is the nearest to -1\/3? (a) g (b) -4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(2\/45)*a))\/(a\/((a*a**(-4\/9)*a*a)\/a)))**(3\/7)\/(((a*a*(a**(-1\/5)*a)\/a)\/a**(-5))\/(((a*a*a*a*a*a**(-2))\/a)\/a)**(-1\/5)) assuming a is positive.\nAnswer: a**(-712\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2561379, 5122759, 7684139, 10245519?\n\"Answer: 2561380*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5 - 2)*(4 + 3 - 4 + 2*j**2)*(1 - 8 - 5)*(-3 + 4 + 1) in the form y*j**2 + x + q*j and give y.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/(-12)*(2 + 0). Let i be ((-4)\/(-6))\/((-2)\/18). Is i\/(-18)*t*443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 1:34 AM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40 + 10)*(-56)\/210.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - q - 32 = 8, 4 = 2*q. Let a(l) = l**3 + 15*l**2 + 12*l - 5. What are the prime factors of a(o)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020101021 + -1120102211?\nAnswer: -2210211002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s - 661*s**2 + 50*s**4 + 659*s**2 - 44*s**4 - 29 as t*s**2 + j*s**3 + c*s + b*s**4 + y and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 b when three letters picked without replacement from fbrbf?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -5*g**2 - 2*g - 1. Calculate u(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -44*g + 48*g - 16. Suppose t - 5*z = -2*z - 14, 0 = g*t - 4*z + 48. Let c(y) = -y - 11. Let f be c(t). Solve -d + f*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 2)*(-80)\/(-20) - -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 4:52 AM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -807 + 962. Calculate the remainder when 315 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -1695*v**4\/4 + 776319*v**3\/8 - 2061*v**2\/8 = 0.\nAnswer: 0, 3\/1130, 229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**9*r\/(r**(1\/2)\/r)*r**5*r**(5\/4))**(-13) assuming r is positive.\nAnswer: r**(-871\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4*69.26\nAnswer: -277.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -115 * -7023.\nAnswer: 807645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -242643.5 rounded to the nearest one hundred?\nAnswer: -242600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 1:15 AM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167331619?\nAnswer: 7, 13, 41, 43, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2f9b63 (base 16) in base 11?\nAnswer: -1841098","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -4*r - 30. Suppose 0 = 2*w - 7*w + r. Let x(d) = -d**3 + 8*d + 2 - 3 + d**w - 2 + 4*d**2. What is x(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -3*s + 26, -3*s - 202 = -3*a - 2*a. Suppose a*x = 23*x + 2325. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1851892 by 5.\nAnswer: -1851892\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -81855, -87472, -93087, -98700?\n\"Answer: n**2 - 5620*n - 76236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 6*q - 4 = 0, 4*q - 19 = o. Let n be (o\/1)\/(6*(-3)\/24). What is the third derivative of 2*i**2 + n*i**2 - 3*i**2 + 18*i**4 wrt i?\nAnswer: 432*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1092313361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23067470 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u + 5*u - 22 + 41. Let m be z(-8). Let n be -3 - (m - (-5 - -4)). Solve 2*j - n - 1 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/(-2*sqrt(2)))\/(4*sqrt(9)*1).\nAnswer: -sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1162*o**2 + 6*o**3 - 13*o - 1162*o**2 in the form v*o**3 + k + r*o + g*o**2 and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -112*s**3 + 2*s**2 - 1. List the prime factors of m(-1).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 + 2*u**2 - 6*u**2)*(-2*u**2 - 3*u**2 + 2*u**2) + (2*u + 2 - 2)*(2*u**3 - 1 + 1) + (0*u - 3*u + u)*(-u**2 + u**3 + u**2).\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 11:41 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2*g + 29 + 5, 2*g = i + 30. Solve -g = 4*w - 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f**3 + 13. Suppose -5*a = -3*a - 4. Let l(y) = -y**3 - 3. Let u(t) = a*i(t) + 9*l(t). Differentiate u(h) with respect to h.\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 293 + -292.99666. Round c to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5233 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 250*f**2 + 211*f**2 - 718*f**2 + 255*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -92948022*v - 126033377 wrt v.\nAnswer: -92948022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-312)\/3120)\/(5\/4)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.17 + 0.27. Suppose y - 2 = 3*y. Which is the closest to 0.1? (a) y (b) 4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5319 - 5319 - 81*r**3)*(85*r + 122*r + 46*r).\nAnswer: -20493*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 6*r**2 + 6*r + 7. Let o = -37 + 32. Calculate g(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*k - 2169 = -4*k - 92501. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42418502 a multiple of 238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n + 20 - n**2 + 0*n - 4*n + 0*n. Let z(x) = x**3 + 2*x**2 + 2*x + 1. Let t be z(-1). Let h be q(t). Solve a = -3*a + h for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 260525894 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5\/1394 + -10069\/10455. Calculate the common denominator of j and -62\/57.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*m**2 + 279*m**5 - 454 + 392 - m + 3*m**3 - 4*m**2 + 75*m**5 wrt m?\nAnswer: 7080*m**3 + 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times -0.2\nAnswer: 0.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 7:49 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 1:47 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5330920635.\nAnswer: 3, 5, 433, 10133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3734 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -5*m + 29, 0 = 3*h - 2*h - 2*m + 8. Let a(w) = -w - 10 + 6*w**2 + 4*w**h + 2*w - 17 - w**3. What are the prime factors of a(8)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1257 - -3739\/3. Let y = d + 10. Let g = 643\/21 - 91\/3. Which is the nearest to g? (a) 0.1 (b) -3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 5*u - 1189, 360 = 2*u - 3*z - 134. Let w = u - -191. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 47 = 15. Let r = -5 - w. What is the greatest common factor of 3 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44054 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -39\/131? (a) -1\/5 (b) 0.3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-30)*(1 - -2). Suppose 5*y = -4*d - 8, -3*y + 6*y - 3*d - 6 = 0. Which is smaller: y or t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 810\/102465*33\/(12\/4)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vfclffi. What is prob of picking 1 c and 1 i?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2919 - 1003 = 0. Suppose 2*s - b = -141. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-184)\/(-92)*(459\/6)\/(-9).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -349*s + 126*s + 119*s + 125*s - 7 as o + z*s and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -35929*y + 395211. Determine r(11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 40 - 40 - 5*l - 9*l in the form w + m*l and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 126062171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jxujhcusucj. Give prob of picking 3 u.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-3))\/i)**29)**22\/(i**6*i**1*(((i\/(i**(2\/3)*i))\/i)\/i)\/i**1) assuming i is positive.\nAnswer: i**(-5752\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -379*p**2 + 392 - 2*p + 1637*p**2 - 392 + 5*p to b*p + y + t*p**2 and give t.\nAnswer: 1258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 4*s - 39. Suppose -8*i + s*i = 130. Suppose -3*o - 10 = r + 2*o, -3*r + 42 = -3*o. What is the remainder when i is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1404211 - -310?\nAnswer: -1403401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from klluikllllnfnknllnun. Give prob of picking 1 l and 1 n.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -410 = -5*z + 395. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -282*(-139)\/13900*50?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(((((k**18*k)\/k)\/k*k*k)\/k)\/k)*k)\/(k*k**(-7\/4)*k))\/(((k*k\/(k\/(k*k\/(k*(k*k*k**(-32)*k)\/k))*k)*k)\/k)\/(k\/k**(-22))) assuming k is positive.\nAnswer: k**(-93\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(132)\/sqrt(3))\/sqrt(4) - (((sqrt(77) - (-1*sqrt(77) - sqrt(77)) - sqrt(77))\/sqrt(7))**2 - (sqrt(176)\/sqrt(4))**2).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3882894 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6206 divide 1154895197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ulel when four letters picked without replacement from alealu.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 292209 a multiple of 257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -17*q. Let k(w) be the third derivative of -w**4\/8 + 7*w**3\/6 + 11*w**2. Let b(x) = -x + 2. Let j(i) = -7*b(i) + 2*k(i). What is j(y(h))?\nAnswer: -17*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1547 and 448392?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.2 in -2, 4\/11, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.09 + 10.09. Let r = 10 + b. Let n = r + -18.46. What is n rounded to 1 decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -174 + 303. Suppose b - 7*b + 48 = 0. Suppose 5*y - b*y = -j. List the prime factors of y.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, -5\/3, 1\/13, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 + 19\/5)*(-8 - -3). Let k(u) = -3*u**2 + 2*u - 2. Let y(a) = 4*a**2 - 3*a + 3. Let g(v) = i*k(v) + 4*y(v). Let w(p) = -9*p - 1. Calculate w(g(r)).\nAnswer: 18*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 87 + -93. Let v(w) = -w**2 - 7*w + 2. Let s(d) = 6*d - d**2 + 0 - 2 + 2*d**2 + 0. Calculate c*s(q) - 5*v(q).\nAnswer: -q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9338 and 26968144.\nAnswer: 26968144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003655 rounded to 4 dps?\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -452*n**3 - 3*n + 3. Let z(d) = 448*d**3 + 4*d - 3. Give -4*c(y) - 3*z(y).\nAnswer: 464*y**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 12*n - 60. Let y be f(-4). Suppose 13 + 5 = 3*w. Put -2, y, w in decreasing order.\nAnswer: w, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -10811, -21, -2 in ascending order.\nAnswer: -10811, -21, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7388882?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from lwwwwlwwww?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -23*q**3 - 7*q. Let s(c) = -2*c**2. Let m(l) = 12*l**3 - 56*l**2 + 4*l. Let t(b) = m(b) - 28*s(b). What is 4*n(i) + 7*t(i)?\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -4*((-92631)\/(-12))\/(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 689686 is divided by 72?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/13, -5, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of w**8\/1120 + w**7\/140 + w**6\/80 - 34*w**3\/3 - 271*w. Let v(m) be the second derivative of g(m). Factor v(j).\nAnswer: 3*j**2*(j + 1)*(j + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 117 + -56. Let b = -61 + a. What is the third smallest value in -0.2, -4, b, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/3))**40*a**12*a*a*a*a**(3\/7)\/a assuming a is positive.\nAnswer: a**(23\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -5*t**2 - 339*t + 1511. Calculate b(-72).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of -t**7\/350 + t**5\/100 + 5*t**2\/2 + t. Let u(y) be the first derivative of f(y). Suppose u(d) = 0. What is d?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13298 (base 13) in base 15?\nAnswer: a845","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108936417.\nAnswer: 3, 643, 56473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 1 + 5)*(t - t + t) - 13*t + 7*t - 14*t + (-t - t - t)*(0 + 2 - 5) - 4*t + 0*t + 3*t as p*t + z and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1904, 3 in increasing order.\nAnswer: -1, 3, 1904","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -422 divided by -2?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1125633618, -2251267234, -3376900850, -4502534466?\nAnswer: -5628168082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 626*x + 626*x + 595*x - 2455*x + 623*x.\nAnswer: 15*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 29428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = 12*d - 9*d + 5, -5*z = -3*d + 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24317810327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22997 + -22993. What is the nearest to 0 in q, 0.409, -2?\nAnswer: 0.409","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of d**4\/2 + 9*d**3 + 7*d**2 + 31*d + 10. Let b be o(-13). What is the greatest common factor of 45 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.77 - -15.77. Which is the second biggest value? (a) -3 (b) 1\/4 (c) p (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1646 divided by 49?\nAnswer: 1646\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2843*a**2*z**3 + 81*a**2*z**2 + 4*a**2*z + a*z**2 + 15465*z**3 + 404*z**2 + 2*z + 3 wrt z?\nAnswer: -17058*a**2 + 92790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 68\/28 + (-3)\/(21\/(-4)). Let t be (-1314)\/(-24) + o\/12. Let u(d) = 96*d**2 + 3*d - 5. Let j be u(2). What is the greatest common factor of t and j?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - 3*y + 3*y**4)*(y + 0*y + 2*y) - 5*y**5 + 5*y**3 - 5*y**3 + 18*y - 6*y**5 - 18*y.\nAnswer: -2*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1723 + 1713. Let s(j) = -j**2 - 13*j - 18. Calculate s(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -265c + -22?\nAnswer: -267e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 970 - 1095. List the prime factors of 35250\/v*(-13)\/2.\nAnswer: 3, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -393500 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -880 + 619. Let z = -261.0085 - a. What is z rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -427 + 429. Suppose 0 = 4*d + 2*n - 10, 4*d = -n + 8 + 5. Solve 4 = d*t - i*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 212114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*n + 420 = -30*n. Suppose -n*j + 34*j = 17082. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -172 - -368. Let z = -1177\/6 + c. What is the nearest to 1\/2 in 3\/10, 2\/5, z?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 25710, 51454, 77198, 102942?\n\"Answer: 25744*f - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6958501l in millilitres?\nAnswer: 695.8501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2\/7, -0.042 in decreasing order.\nAnswer: 2\/7, -0.042, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*z**4 - 18\/5*z**2 + 52\/5*z - 13\/5*z**3 + 88\/5.\nAnswer: -(z - 2)*(z + 2)**2*(z + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23943076.\nAnswer: 2, 521, 11489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1146 + 594. Let d be 132*((-299)\/m + 1\/8). Calculate the greatest common factor of 66 and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven thirds of a minute?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 46*g + 183. Give x(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 5, -2, 3, -4, -1, 4630 in ascending order.\nAnswer: -4, -2, -1, 3, 5, 18, 4630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16279 is divided by 1571?\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-374)*4686\/852?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*w**5 - 2*w**4*x - 111*w**3*x + 3*w - 211*x + 3 wrt w.\nAnswer: 80*w**3 - 24*w**2*x - 666*w*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -178562*g**2 + 3*g + 2*g**3 - g + 0*g**4 + 1 - 2*g**4 + 178399*g**2 - g to t*g**3 + y*g**2 + v + z*g**4 + a*g and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 1:02 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 5*d**2 - 25645*d - 4887960 = 0.\nAnswer: -184, 5313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 83 + 79. Let u = n - 161.7. Let x = 2\/59 + 49\/295. Sort -5\/6, x, u in decreasing order.\nAnswer: u, x, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two sevenths of a week in minutes?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 68225013917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5342052220 - 15?\nAnswer: -5342052235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -70 - 372. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + -3 + 0 - 4. Let l = 715 - 711. Sort -33, k, l, 1 in decreasing order.\nAnswer: l, 1, k, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -13, -33, -61, -97?\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(375)\/sqrt(5).\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(98) + 0 - sqrt(98)) + -5 + sqrt(98) + 0 + sqrt(98) + 2)**2 - (sqrt(12)\/(-3*sqrt(6)) + -1 + (sqrt(2) - sqrt(2)*-3))) + 4.\nAnswer: -1315*sqrt(2)\/3 + 2014","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(8\/(-4)*1). Suppose 0 = -z*w + 4. Solve -w*u + 3*t - 1 = 24, -u = -2*t + 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/11? (a) -2\/5 (b) 0.5 (c) 10 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 14*r + 59. Let p(i) = 7*i + 30. Let y(u) = -u**2 + 5*u + 3. Let l be y(5). Let f(q) = l*k(q) - 5*p(q). What are the prime factors of f(-6)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -54345*c + 163050. Calculate u(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t + 7. Let y be r(3). Suppose 39 = y*w + 3. Let u(v) = v**2 + 3*v + 1. Calculate the remainder when w is divided by u(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2065.034016 - 2065. What is z rounded to 3 decimal places?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 21*l**2 - 14*l + 14. Let g(b) = 7*b**2 - 5*b + 5. Let i(s) = -14*g(s) + 5*w(s). Let d(p) = -p**2. Give d(i(c)).\nAnswer: -49*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -304\/17. Let y = -3.16 - -0.16. What is the nearest to -1 in y, 3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20998636?\nAnswer: 2, 5249659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**2 - c**2 + 0*c**2 + (-2195 + 2195 + 71*c)*(2*c + 2*c + 0*c).\nAnswer: 285*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 524520 is divided by 523778?\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eef when three letters picked without replacement from eueuuueuuhufuuu.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 107225893 and -0.056.\nAnswer: 107225892.944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.18 and 121463.\nAnswer: -143326.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 1. Let a be 14\/p - (-1)\/(-3). Let f(r) be the second derivative of r**3\/2 + r**2 + 70*r. Determine f(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 6*p - 9. Let t be h(-3). Suppose t = 5*k - 2*k - 324. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1256502?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 143*w**2 - w - 1. Suppose -5*g = -4 - 6. Suppose 2*b - 2 = 3*q - 3, g = -b. Let n be o(q). What is the highest common divisor of 13 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 8*j**3 - 5*j**2 - 25*j - 15. Let v(q) = -55*q**3 + 35*q**2 + 175*q + 105. Let s = 9 + -29. Let x(h) = s*i(h) - 3*v(h). Determine y so that x(y) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2373 (base 9) to base 14.\nAnswer: -903","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 97*i**2 + 183*i + 591. Calculate u(95).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 12:00 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/1 + 2 + -8. Let n = -0.4 - -0.1. Let s = 22\/39 - 49\/156. Which is the third biggest value? (a) -2\/9 (b) s (c) x (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 754 and 4758?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - (1 + (2 - 11) - -5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, u: 8, d: 2}. Give prob of picking 2 u.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**(-1)*q)**(4\/19)*(q**(-2\/5))**(-18)*((q\/(q**(-1)\/q))\/(q\/q**4))\/(q*q**(1\/3)*q)**(-23) assuming q is positive.\nAnswer: q**(19297\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -45*g - 140. What is m(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(6 - 12) - 9\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 0*d + 2*d - 10 = 0, 5*a - 3*d = 18 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11824 - 11820. Suppose -3*i + 6*i = -18. Let s = 2 + i. What is the second smallest value in p, 5, s, 6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1647)\/3843*(-1)\/(-1)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -17. What is the second biggest value in -0.2, -2\/21, b?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 4*k + 12 + 68, -5*o + 3*k = -485. Does 20 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9 and -9856719.\nAnswer: 88710471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -7486611.5 to the nearest ten thousand.\nAnswer: -7490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/55 - 49\/165. Let g = -98.3 + 99.3. Which is the closest to g? (a) 3\/2 (b) -2\/23 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -3*c - 2 - 70, -2*c + 2*q - 46 = 0. Let g = c - -35. Factor a**2 + 6*a + g - 3*a - 4*a + 7*a.\nAnswer: (a + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 f when two letters picked without replacement from fxfee.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2727 + 2726.7. What is the second biggest value in f, -1\/5, -2, -1\/6, -75?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 4:06 AM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 p when two letters picked without replacement from {p: 2, c: 3, a: 1, g: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -66*k**5 - 28*k + 2 wrt k?\nAnswer: -1320*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10528 (base 10) to base 5.\nAnswer: -314103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - ((-12 - 1) + (132 - 125))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 197, 355, 473, 551, 589, 587, 545?\nAnswer: 463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**4\/2 - 121256*u**3 = 0. Calculate u.\nAnswer: 0, 242512","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 11:09 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 1021*b**2 - 4*b + 3122. Let d(f) = 35*f**2 + f + 1. Let j(c) = 4*d(c) + i(c). What is the derivative of j(h) wrt h?\nAnswer: 2322*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-2) + (-9)\/(-6). Suppose -d + v*d - 164 = 0. What is d rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tojotoottsgjjjoggt. Give prob of sequence ggt.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10951 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*u**4 + 0*u**4 + 8*u + 60*u**5 + 7*u**2 + 47*u**5 - 9*u**3 - 106*u**5.\nAnswer: u*(u - 8)*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 33\/99 + 2*22\/(-60). Which is the second biggest value? (a) -0.1 (b) x (c) -3\/7 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5935273708?\nAnswer: 2, 7, 13, 16305697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10422845 - 10422845 + 17*c**3.\nAnswer: 17*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by (-527)\/(-34) + 1\/(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -96 - -189. Suppose j + 31 = y. Suppose -2*p = -42 - j. Is 9 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2*j - j**2 - 4*j + 0*j + 0*j as m + v*j**2 + n*j and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 3.3424594.\nAnswer: -10.0273782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -3.470468.\nAnswer: 13.881872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2*sqrt(119) + sqrt(119)) + -5*2*sqrt(119))\/(-3*(sqrt(7) + -1*sqrt(112)))*-2.\nAnswer: 4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 1 + 1 - x + 6*x + 2*x**2 - 4*x**3 - 4*x. Let l = 155 + -159. Let k be b(l). What is the greatest common divisor of k and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1749 is divided by 40?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -553 - -2594. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -7*x + 8. Let l(g) = 7*g - 8. Let u(n) = -n**3 + 4*n**2 + 3*n - 6. Let q be u(4). Let c(p) = q*k(p) + 7*l(p). Differentiate c(r) wrt r.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3522?\nAnswer: 2, 3, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 24 - (-242 + 223)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(85\/(-97) + 1). Let z = -35\/3 - f. Calculate the common denominator of z and -73\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2088834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*q - 93936 = 9*q + 6*q. Does 38 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -148230.032 + 95167.4.\nAnswer: -53062.632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 458160 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/5 (b) -2 (c) -4\/5 (d) 101\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)\/(-3*sqrt(5)) - (-3*sqrt(245))**2) + 4 - (-3 + ((sqrt(1440)*-1)\/((sqrt(432) + sqrt(48))\/sqrt(6)))**2).\nAnswer: -8837\/4 - sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -79\/1481 + 153751\/2576940. Find the common denominator of 37\/34 and g.\nAnswer: 29580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 329649.8 years?\nAnswer: 329.6498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -44.9 - -44.5. What is the nearest to -0.2 in w, 2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 5837*t - 169270. What is b(29)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-1)*9\/6. Let t = -49 + 52. Solve t*z + q = -6 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -87 - -217. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-44)\/(-33))\/(3\/9). Let b = -2 + 1. Sort 3, d, -4, b in increasing order.\nAnswer: -4, b, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 36 - 276 = -5*o, 0 = i + 4*o - 120. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1782 and 4086918?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uknnnukkkkww. Give prob of picking 2 k, 1 u, and 1 n.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-3*(-1 + ((1 + sqrt(1584) + sqrt(1584))*3 - (sqrt(1584) + 2)*-3))**2.\nAnswer: -385104 - 5184*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110 + -110100?\nAnswer: -1000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4984, -10545, -16106, -21667, -27228, -32789?\n\"Answer: -5561*j + 577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*b - 19*b - 2729 + 5459 - 2730 - 19*b**3.\nAnswer: -19*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**3 - 33*j**2 - 3*j - 22. Suppose -187 = 35*m - 46*m. Is 53 a factor of x(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -833917, -834034, -834229, -834502?\n\"Answer: -39*p**2 - 833878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 357*d - 315*d = 294 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -4*m**2 - 3*m + 3. Let k(f) = 23*f**2 + 17*f - 17. Let l(o) = 34*j(o) + 6*k(o). Let a(r) = -51*r - 58*r + 102*r. Calculate a(l(g)).\nAnswer: -14*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-78*m - 14 + 14)*(-16*m + 10*m - 2 + 1).\nAnswer: 468*m**2 + 78*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27596?\nAnswer: 2, 6899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/17)*n**(-2\/9)*(n\/(n*n**(-1)))\/(((n\/(n*n**(-1\/2)*n)*n)\/n)\/n))**(-10) assuming n is positive.\nAnswer: n**(-3305\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of -x**4\/24 + 13*x**3\/6 + x**2. Suppose -4*r - 5*w = -7, -4*r + 4*w + 27 + 25 = 0. Give j(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -66 + 45. Let g = q - -25. Suppose -2*f = -0*f + 2*w - 4, -3*f - 5*w + 10 = 0. Which is the third smallest value? (a) f (b) -1\/4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/95, 2\/15, -5\/2, -1\/2 in ascending order.\nAnswer: -5\/2, -1\/2, -2\/95, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 248327?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -48087360 divided by 2360\nAnswer: -20376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89957329?\nAnswer: 7, 11, 106207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(39\/(-91)))\/(4\/(-12))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 115.851038 to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(3*4*1\/(-12))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 8 + 2. Suppose 5*i - 15 = -3*u, 7 + 3 = -i + g*u. Solve -2*p + 3*v - 13 = i, 0 = 3*p - 4*p - 2*v + 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -5. Let j be 6*(1040\/(-15) - 2). Let u be j\/(-84) + (-4)\/42. Solve 0*o + 5*z = -u*o - 5, -v*o - 19 = -5*z for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10183 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4932310 to the nearest integer?\nAnswer: 2221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14.2 in -0.01, -1\/7, -258.8?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 128 = -0*y - 5*i, -i - 163 = -4*y. What is the remainder when 81 is divided by y?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1737756583?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, -15, 1, 5, 126 in descending order.\nAnswer: 126, 6, 5, 1, 0, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1442084?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55)\/(-33)*6\/12*-6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 450807, 450891, 451117, 451557, 452283?\n\"Answer: 12*f**3 - f**2 + 3*f + 450793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 20441?\nAnswer: 20442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + (sqrt(99) - -2*sqrt(99)) - sqrt(99))\/sqrt(9) - 2*sqrt(44).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1894?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -67311450*p**3 - 123649261*p wrt p.\nAnswer: -403868700*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 10 = 4. Suppose 4*o - 3*o - w = 0. What is the remainder when 13 is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(-r**2 + 0*r**2 + 2*r**2 + (0 + 0 - 1)*(3*r**2 + 2*r**2 - 2*r**2))*((0 + 0 - r)*(46*r + 21*r - 14*r) + 6*r - r - 2*r**2 + 4*r**2).\nAnswer: -102*r**4 + 10*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -4 + -1 - (-7 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*s - 3488 - 1192 = 0 for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 71362937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6\/23, 0.428, 4, -2\/15, 234?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22094 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4*k = -3*g + 12, 8 = k + 2*g. Suppose -4*u - 3*s + 1 = -32, k = 2*s - 6. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**3 + 32*d**2 + 840*d + 8. What is n(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 4*n + 5. Suppose w = 3*w + 8. Let v be (-1)\/(-1 + (-3)\/w). Suppose -3*p = -2*p - v. Calculate m(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-3 - (-6 + (-5 - -2))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 234 - 164. What are the prime factors of w?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8062, -16090, -24028, -31876, -39634, -47302, -54880?\n\"Answer: 45*x**2 - 8163*x + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 301694 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, z: 6, j: 1}. Give prob of sequence zz.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.8 - 1. Let y = 0.42 - 13.22. Let h = y + 13. Which is the third biggest value? (a) h (b) v (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 9*z**2 - 6*z + 14. Let w be j(-7). Let s be (-15)\/150 + w\/(-20). Factor 5\/3*y**s - 1\/3 + 4\/3*y.\nAnswer: (y + 1)*(5*y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*i**2 - 2*i**2 + 0*i**2)*(-3*i + i - i)*(-20 - 4 + 6) as w + a*i**3 + d*i + z*i**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 75, 65, 55, 45, 35?\n\"Answer: -10*k + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1201684 and 36?\nAnswer: 10815156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -0*l - 38. Let u = -20 + l. What is the least common multiple of 12 and u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 h when two letters picked without replacement from {f: 1, d: 2, m: 8, h: 9}.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -s. Suppose s = 3*d - 5 + 2. Suppose 0 = 2*v + 3*v - 50. What is the least common multiple of d and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1278.161447 rounded to zero decimal places?\nAnswer: -1278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23892577.\nAnswer: 23892577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 375002102 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -22310545 (base 6) to base 10\nAnswer: -678017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 71550 (base 12) to base 13\nAnswer: 52296","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a - 2*a**3 - 6244754607*a**2 + 6244754607*a**2.\nAnswer: -2*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 669 + -668.314. Round q to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -553, -254, 45, 344, 643?\nAnswer: 942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of s**6\/120 + s**5\/10 + s**4\/3 + 7*s**3\/6 - 8*s**2. Calculate r(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -2*j - 26, 7*j = c + 11*j + 14*j + 81 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*w**2 + w**2 + 3*w**2 + 2*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z + 3*z - 2*z - 5*z - 2*z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11055352*i**2 - 9148915?\nAnswer: -22110704*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89, -313, -665, -1127, -1681, -2309?\nAnswer: -2993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(104\/(-120) - -1). Sort d, 5, -2, -3.\nAnswer: d, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 7*q + 5*g + 60, -g = 4. Let u = -5 - q. Suppose -u*s + 2 - 12 = 0. Which is smaller: -4 or s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -292445 divided by -3.\nAnswer: 292445\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 19*a + 436. Give l(-30).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5\/13 + -80\/39. Which is bigger: -2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20358 and 3909438.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*v + 45 = 81 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s = 2*s + 64359. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1))**(-11)*b*b*b*b\/b**(-2)*b**(-1)*(b**(-2\/7)*b)**(-9\/8)*b*b**(-1\/6)*b\/(b*b*b**(-1\/6))*b assuming b is positive.\nAnswer: b**(907\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 10*s**2 + 3*s - 134. Calculate u(-9).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**2 - 9*x**3 - 2 + 4 - 13*x**3 + 2*x - 4*x**2 + x as d*x + b + n*x**3 + p*x**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6 + -1 - 32732\/(-1200). Let l = -2\/75 + g. Let 27\/4*j**2 + 81\/4*j + 3\/4*j**3 + l = 0. Calculate j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a century in months?\nAnswer: 24600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 25*y - 382. What is w(25)?\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 658 and 64566955?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 8 + 7. Suppose 2*b - 15 = -m*b. Suppose -2*s + 40 = b*s. Solve -h - 4*c - 20 = -5*h, 4*c + s = -2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pkpp when four letters picked without replacement from {k: 1, g: 1, p: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4 = 5. Let o = 0 + i. Calculate the common denominator of -39 - o\/(3 - -3) and -11\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/(-825)*4\/24*15?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, t: 4, h: 3, o: 1, u: 2, j: 1}. What is prob of sequence otut?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -6*a**2 - 2*a - 47. Let z(r) = -r. What is z(i(w))?\nAnswer: 12*w + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 2*o + 128. Suppose 0 = -d + 3*d - d. Suppose d*h = h - 2*w - 10, 20 = -4*w. What is the units digit of m(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2 - 6*r**3 - 4*r**2 + r**2 + 0*r**3.\nAnswer: -2*r**2*(3*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8536\/119680*-34)\/(3\/(-24))?\nAnswer: 97\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8489.07 milligrams in tonnes?\nAnswer: 0.00000848907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51 - 22. Let w = 57 - v. Is 10 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zattttttt. Give prob of picking 2 t.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 10*x + 7. Let u(c) = -3*c - 2. Let k(o) = 2*q(o) + 7*u(o). Let m(f) = -7*f. Let j = -90 - -51. What is j*k(i) + 6*m(i)?\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19327 + -19346. Which is the second smallest value? (a) 0 (b) j (c) 2\/7 (d) -1 (e) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rd when two letters picked without replacement from awdir?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183364454?\nAnswer: 2, 7, 13, 1007497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -1 (c) -3 (d) -2\/11 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5534, 5532, 5530, 5528?\nAnswer: 5526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-6)*580\/290?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from aaallllllllllll.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7026840 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h - 26*h**3 - 33*h**3 + 2*h**4 - 6*h**2 + 61*h**3 + 18*h**2 to n*h**2 + v + l*h**3 + g*h**4 + f*h and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3 = 5*a - 15, 0 = 5*a - c - 8. Let t = -9 - a. Let q = 14 + t. Put 5, q, 1\/5 in decreasing order.\nAnswer: 5, q, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3263*-1020.6.\nAnswer: -3330217.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 d when four letters picked without replacement from {d: 3, z: 1, m: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(99)\/(-1*sqrt(324) - sqrt(324))*-4 + -1.\nAnswer: -2*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5)\/4*2\/(-15) - (-1615387)\/174.\nAnswer: 2, 11, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/16*2\/(-5)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 + 2 - 2)*(-5*i + 4*i + 0*i) + 0*i + 0*i - i**3 - 5*i**3 - i**3 + 4*i**3 + (i - 1 + 1)*(-2*i**2 + 2*i**2 - i**2) + 170 + 3*i - 219 - 57*i**3 + 50.\nAnswer: -63*i**3 + 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**3\/4 - 129*o**2\/2 + 1471*o\/4 + 315\/2.\nAnswer: (o - 45)*(o - 7)*(5*o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 20 = 0, 3*o - 11 = 3*v - 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/3)*o)**(1\/15)\/(o*o**(1\/3))**3 assuming o is positive.\nAnswer: o**(-176\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u = 16 + 14. Let o(n) = -n**3 - 4*n**2 - 6*n - 5. Let h be o(u). Solve h*y = -y + 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1088, 1084, 1080, 1076, 1072, 1068?\nAnswer: 1064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 16 = -4*r + 2*j, 4*j - 7 = -r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -5, 0.5, -1 in descending order.\nAnswer: 13, 0.5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33968921?\nAnswer: 7, 47, 223, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -537.917 times -9\nAnswer: 4841.253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -4*p + 2*p - 9 - p + p**2 + 2*p. Let v be k(4). Suppose 6 = 4*n + v*a - 5*a, 2*a = -3*n + 22. Solve -5*z - 2*w + 11 = 0, 0 = -n*z - w + 3 + 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8927?\nAnswer: 79, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7904528 tonnes in micrograms?\nAnswer: 790452800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 521610*w. Let a be l(1). Suppose -2*r + 6*r = -1793560. Let n = a - r. What is n rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b - 4*b**2 - b + (-11*b + 0*b + 2*b)*(2*b + b - b).\nAnswer: -22*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 0. Let f = 39 - 29. Let g be (-129)\/(-195) + d\/f. Are g and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 20 (b) -4\/3 (c) -0.05 (d) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/33)\/(5\/20)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**5\/17 + 15131426*u**4\/17 - 6*u**3\/17 - 45394274*u**2\/17 + 30262852*u\/17 = 0. What is u?\nAnswer: -7565713, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**2 - 2*o - 3*o**2 + 1 + o**4 + 4*o**2 in the form s + q*o**3 + m*o**2 + p*o + r*o**4 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 4*g + 57 = 75, -a = g for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -af + -b?\nAnswer: -ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 4*z - g + 2, -z - 5*g + 12 = 0. Suppose -5*j - z*i = -1093, -2*i + 79 = j - 138. What are the prime factors of j?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 v when two letters picked without replacement from {e: 16, v: 4}?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + d = 20. Suppose -1 - 35 = -12*c. Suppose -c*z = d*n - 500, -3*z + 674 = z - 2*n. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/187 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 7*q + 2 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 93 or -6707.2?\nAnswer: -6707.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yfyffyhyfyyyfyffyy. What is prob of sequence hfyy?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 516301?\nAnswer: 43, 12007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1424 divide 97434352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 74434 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 0.1, 0.02, 6.81 in ascending order.\nAnswer: -4, 0.02, 0.1, 5, 6.81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 2*n + 24 = -2*n, 3*n = 2*c - 19. Let j be 2\/4 + 14\/4. What is the third derivative of 2*y**c + j*y**2 - 4*y**2 - y**3 + 0*y**3 wrt y?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -223\/538?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1209 - -1?\nAnswer: 120a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 371*j = 366*j - 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - c + 15. What is a(4)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 399643*t**2*y**4 + t**2*y**2 - 2423514*t**2*y - 172*y**5 wrt y.\nAnswer: 9591432*t**2*y - 10320*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -n**6\/15 + 3*n**5\/5 - 4*n**4\/3 - 2*n**3 + 9*n**2 - 14*n. Suppose d(v) = 0. Calculate v.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**5 - 126*f**4 + 687*f**3 - 1440*f**2 + 1308*f - 432 = 0. What is f?\nAnswer: 1, 2, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q - 53 = 18*q. Let r = q - 1. Let m be (-3)\/18 + (-225)\/r. Solve -m*f - d = 7, 2*d = -5*f - 0 - 5 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((49203\/355)\/33)\/((-3)\/20)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/3 (b) -19 (c) -1\/2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2923, -11820, -26687, -47518, -74307?\n\"Answer: a**3 - 2991*a**2 + 69*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 4*t. Let a(j) = 19*j. Let u(h) = -4*a(h) + 20*m(h). Let v(x) = -3*x. Determine -2*u(g) - 3*v(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -1. Let b(c) = 29*c - 58. Give -b(z) + 58*d(z).\nAnswer: -29*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p + 22 - 66 = 0. Solve -3*b = 4*l + p, b - 6*b - 5*l = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/(-20)*(-2 - -1 - 109). Calculate the highest common divisor of 8 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/161281?\nAnswer: -1\/161281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -3\/2*z**2 - 1\/210*z**5 + 0*z - 2 + 0*z**3 + 1\/28*z**4. Let y(k) be the second derivative of b(k). Factor y(w).\nAnswer: -2*w*(w - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8461 + 18*d**2 + 4105 + 4356.\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 24, 64, 124, 204?\n\"Answer: 10*o**2 + 10*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(98)\/sqrt(7))\/sqrt(2) + -5.\nAnswer: -2*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.42 != 2.349295?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**4\/10 - 6177*b**3\/5 + 18528*b**2\/5 - 18527*b\/5 + 12351\/10 = 0. Calculate b.\nAnswer: 1, 12351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -46 or 418?\nAnswer: 418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, c: 2, z: 3}. What is prob of picking 2 m?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19 - ((-4)\/22 - (-155)\/(-55)) and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-89 - -98) + -5 + 0 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = f + 43, 0*x - 104 = -5*x - f. Let b(o) = 335*o - 296. Let m be b(1). Suppose -24*h = -x*h + m. Is h bigger than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -3. Let r be (-102)\/10 + 2\/10. Let i be 4\/r - 9\/(-10). What is the nearest to 0 in v, i, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89633, -89635, -89637, -89639?\nAnswer: -89641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 26, 63, 100, 137, 174, 211?\n\"Answer: 37*g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 40422000 rounded to the nearest one million?\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1116 a factor of 27500472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -109*t + 119*t. Let a(z) be the second derivative of 7*z - 5\/2*z**5 + 0 + 0*z**2 + 5\/3*z**4 - 1\/3*z**t. Determine u, given that a(u) = 0.\nAnswer: 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 + 16. Let z = d + 27. Differentiate z - 4*k + 0*k - 8 wrt k.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 165835 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -25 divided by 5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u + 14*z = -2*u + 22, 10 - 7 = 2*u + z for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-15) + 14\/10. Let i be (o\/3)\/((-1)\/(-6)). What is the first derivative of m**4 + i + m - 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 26621998.\nAnswer: 2, 13, 103, 9941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 833 and 53822.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -231.08 - -231.07. Let y = 0.01 + -2.01. Let j = y + 7. What is the nearest to 0.1 in j, 0.2, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-1) - (32 + -42)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m**2 + 11*m + 1. Let o(s) = -8*s**2 - 6*s + 2. Let b(j) = 6*j**2 + 6*j - 1. Let f(k) = -3*b(k) - 2*o(k). Calculate -7*f(q) - 4*l(q).\nAnswer: 2*q**2 - 2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c + 3*c - 2*c + c - 6*c + 4*c + (2*c + 0*c - 3*c)*(2 - 3 + 2) + 6*c - 4*c - c - 1 - c + 4*c + 4*c as a + h*c and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 6 = -0. Let s = 16 - n. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {v: 2, y: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that t**2\/2 + 19633*t\/2 - 9817 = 0.\nAnswer: -19634, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 6. Suppose -47 = -3*s - b. Let j = s + -22. Put j, 1, 1\/5 in descending order.\nAnswer: 1, 1\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 7*o - 4. Let d be c(7). Let q be 738\/d + (-4)\/10. Suppose -17*f + 19*f = q. Solve -8 = -5*x - 2*h, 2*x = 5*x - 2*h + f for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -5\/21026?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*p - 219 = -494 - 670 for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3904 and 29646?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a97a0 + -5?\nAnswer: -a97a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 172*s - 4011. Let j be p(-23). Calculate the greatest common divisor of 96 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**1*q)\/q**(1\/3))\/(q\/(q\/((q\/(q\/(q*q**(1\/6))))\/q))*q*q\/(q*q**(5\/2))))\/(q**(1\/7)*q\/((q\/(q*q**(-14\/5)))\/q))**(-34) assuming q is positive.\nAnswer: q**(-677\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2470 and 28310?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3*l + 10 = -5, 5 = 2*k + l. Suppose k = 3*d - 11 - 1. Suppose u + 0*u = -2*w + 31, d*w - 44 = 4*u. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bj when two letters picked without replacement from bbjb?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9275 and 6546825?\nAnswer: 1325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-17 - ((13 - 0) + (26 - 47))) - -62.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 331 + -323. What is the smallest common multiple of v and (-1)\/1*(-1 + -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 57 and 13240\/229 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -88 + 262 + -38 + 18 - 27?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 159977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -414*n + 415*n + 4*w, 24 = -7*n + 4*w for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-234)\/18*-1)\/((-1)\/((-4)\/((-20)\/5)))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (0 - (4 - -6 - -1)) - 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/55 + 4\/22)*30\/(-42). Which is the third biggest value? (a) -3\/4 (b) -0.1 (c) 57.7 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0583 - -49.9417. Let k = d - 50.5. What is the second smallest value in k, 37, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 4*x. Let u be v(4). Let b = -614 - -609. Let g be b\/((-4)\/8*5). Solve u = c - 0 - g for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17.1 - 16.8. Let y = 23 + -15. Let z = 877\/2079 - -2\/297. What is the third smallest value in y, 4, b, z?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -q**5\/24 - q**4\/24 + q**3\/3 + 2*q**2. Let u(c) be the first derivative of p(c). Determine u(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u + 3*d - 7, -2*u - 17*d + 1 = -16*d for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -431 - -25125323?\nAnswer: 25124452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 85 - (1 - (5 + (-40 - -51)))\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 q when two letters picked without replacement from {q: 1, w: 2, t: 3, f: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xiwi. Give prob of picking 1 x and 2 i.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/12)\/(11\/3)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tglg when four letters picked without replacement from tttgglltglg?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2336.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1669\/2 at least 5\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (-27)\/(-30) + 23 + -19 + -4. Sort m, 8\/7, -5, -7, 3 in descending order.\nAnswer: 3, 8\/7, m, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -13*x**3 + 11*x**2 + 11*x. Let z(r) = r**2 + 5*r**2 + 0*r + 0*r + 6*r - 7*r**3. Calculate -6*q(f) + 11*z(f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + sqrt(7) + sqrt(7) + -1)*-3)**2 - (sqrt(21)\/sqrt(3) + 3).\nAnswer: -55*sqrt(7) + 573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -k**9\/36 - k**5\/15 + 11*k**2. What is the third derivative of g(i) wrt i?\nAnswer: -1680*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.19426 - -0.19426. What is the closest to r in 7, -0.3, -12, 118?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q - 24. Let h be c(-8). Let a = -35 - h. Suppose -a*s + 14*s = -9. Which is bigger: -1\/21 or s?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 8*d + 6. Let l(r) = -2*r**2 - 15*r - 11. Let t(n) = -6*l(n) - 11*y(n). What is the smallest common multiple of t(-4) and 0 + (7 - (-16)\/4)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.8593 and 0.66.\nAnswer: -1.227138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.647 and -146.9.\nAnswer: 388.8443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -323, -325, -325, -323, -319, -313, -305?\n\"Answer: z**2 - 5*z - 319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*a**3*f*s**3 + 24*a**3*s**2 - 7*a*f**2*s**2 - 1729*f**2*s**3 - 58*s**2 wrt s.\nAnswer: -60*a**3*f - 10374*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (-3 - -2)) + 2 + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/5))**(-31)\/(((y*y\/y**12)\/y)\/y**1) assuming y is positive.\nAnswer: y**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 2*c - 8 = 0, -n - 4*c - 2 = -6 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12 - -17?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23135, 23276, 23405, 23516, 23603?\nAnswer: 23660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 20, 5, 2\/5, 1\/950 in increasing order.\nAnswer: 1\/950, 2\/5, 1, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 9*u**2 + 10*u - 1. Let g be i(8). Suppose 0 = -6*t - g*t + 5481. What is the remainder when t is divided by 66?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one sixteenth of a week?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -36aa?\nAnswer: -36a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 159 + -52. Suppose -m = -4*b + 465. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07301 - 1171422.\nAnswer: -1171421.92699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 10:00 AM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 1935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 546 and 1072890.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39990331 to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-v + 0 + 0)*(v - 3 + 3) + 0*v**2 + 5*v**2 + v**2)*(9*v + 13 - 13).\nAnswer: 45*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33583922?\nAnswer: 2, 97, 331, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3 + 18184*j**2 + 271860*j.\nAnswer: 4*j*(j + 15)*(j + 4531)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1188175, 1188174, 1188173?\n\"Answer: -l + 1188176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 26281 - 16271?\nAnswer: 10010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 5*q - 4*z - 20, -2*z + 10 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2 - 4731598*w + 4731599.\nAnswer: -(w - 1)*(w + 4731599)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10 (b) -1\/5 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 30\/6871?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((58 - 58)\/(-1*1))\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16.999976 + -17. What is d rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111 - ((-80)\/(-25) + 2\/(-10)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 6*d**3 + 3*d + 4. Let s(u) = u**3 - u**2 + 1. Let t(f) = i(f) - 5*s(f). What is t(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, d: 2, a: 3, r: 6, h: 1}. Give prob of sequence rzdr.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of 17\/15*i**5 - 1\/10*i**6 + i**4 + 15*i**2 + 8 + 0*i**3 + 0*i. Factor u(z).\nAnswer: -4*z*(z - 6)*(3*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/7, 5.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (168\/(-112))\/(6\/(-6340) + 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4324163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**2 + 17*h - 6. What is o(9)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 divided by 15336.\nAnswer: 25\/7668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -18174 and 354.881.\nAnswer: -17819.119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - s + 3*s)*(-s - 3*s + s)*(2*s + 0*s - 3*s)*(s - s - s).\nAnswer: -9*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 858 + -77. Suppose 311 = 4*w - g. Suppose t - 4*t + w = 0. List the prime factors of t.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3455577521?\nAnswer: 11, 314143411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-7 - (-17 - (-6 - -1)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54 - 194. Let p be (1\/3)\/(g\/42). Is p at most 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1709.5 - -1709. Which is the second smallest value? (a) 2\/99 (b) -4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + ((0 - -1 - 61) + (-877 - -881) - -9).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8 (b) -32\/7 (c) -11 (d) -16 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 63*u = 64*u + 51718, 4*u = 6*q - 155148. Is 15 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttntn. Give prob of picking 2 t.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 10, 5, 18, -2 in decreasing order.\nAnswer: 18, 10, 5, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2601*r**3 + 2524*r**3 - 7772*r**3 + 2509*r**3.\nAnswer: -138*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + p = 10. Suppose 11*a = p*a - 4. Calculate the common denominator of (2 - 4) + a\/(40\/102) and 97\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -96 - -6?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 15 = 2*a. Calculate the greatest common divisor of a and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3, 4\/7, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 167*t**2. Let u(r) = -20588*r**2 + 4*r. Determine u(f(l)).\nAnswer: -574178732*l**4 + 668*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 3:21 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16839 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-2)\/138*(6\/10)\/(321\/2140)?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 621\/242 - -14\/121. Calculate the common denominator of p and -9\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.0688 - 0.9688. Sort h, -3\/2, 14, 3 in ascending order.\nAnswer: -3\/2, h, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(i\/(i\/(i*i**(2\/3)\/i*i)*i)))\/i)\/i)\/(i\/i**1)*i**(-2)*i*i**(1\/3))**34 assuming i is positive.\nAnswer: i**(-238\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -78 + 42. Let x(i) = 2*i**2 + 21*i + 19. Let h be x(-11). What is the highest common factor of n and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1673)\/(-35) + (2\/10 - 0). Suppose 4*y = -p + 64. Factor 4*s**3 + 8*s - 6*s**3 - 6*s + s**y - s**2.\nAnswer: s*(s - 2)*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4036353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -91733275 at most 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (359 - 256) + (-14208)\/138\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hggxhggxtxxtxtxkhhx. Give prob of sequence tx.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**5*p + 222*j**5 + 2*j**2*p - 11*j*p - 2*j + 6*p - 9 wrt j?\nAnswer: 20*j**3*p + 4440*j**3 + 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + 61. Give c(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-42)\/(-77) - (-2432)\/(-22). Let f = 113 + n. Solve -2*h + 9 - f = 0, -15 = -2*k - 5*h for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 + -19. Which is the nearest to 1? (a) -2\/17 (b) 6 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 113, 237, 411?\nAnswer: 635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -425 + 468 - (8 + -8 + 4 + -19)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 0*t + 3*p - 12, 2*p = 3*t + 8. Suppose 16809 = 2*m - 3*w, t = 2*m + 3*w - 5777 - 11014. Round m to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + j**2 + j - 1. Let k = -1 - -1. Let o = 24 - 23. Let w = k - o. Let m(z) = -z**2 - 2*z - 1. What is w*m(x) - u(x)?\nAnswer: x**3 + x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8964 divided by 2241.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2098 + 3551. What are the prime factors of h?\nAnswer: 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a hour in seconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 92 + -67. Suppose 4*l = 3*j + 100, -2*l = -l + 3*j - q. Let t(h) = -h**3 + 26*h**2 - 19*h + 26. What are the prime factors of t(l)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2116\/920 - 8\/(-16)?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 4:52 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from sskeesbusekskesks.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o - i + 3*i - 44, 0 = -22*o + 2*i + 21 + 583 for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -326, -34, 1, -1, -20, 4, 5.\nAnswer: -326, -34, -20, -1, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 321015, 321180, 321455, 321840, 322335, 322940, 323655?\nAnswer: 324480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203*p = 31*p - 276*p + 16576 for p.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 - 3*t**2 + 3*t**2)*(t + 0 + 0) - t**3 + 8*t**3 + 45*t**3.\nAnswer: 51*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 19*z + 28. What is the units digit of b(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 204958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1664 is divided by 659?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*c + 5*c**5 + 15*c + 2*c**5 wrt c?\nAnswer: 140*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 6*u**2 - 17*u - 157. Let b be g(-8). Are b and 2\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 6 (b) 2\/7 (c) 16 (d) 1\/247\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -400 + 400. Is y > 68?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s - 24*s - 23*s + 2242 = 0. Solve 25*v = s*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -4\/45*d**5 + 1\/9*d**4 + 4\/9*d + 16\/27*d**3 - 2 + 7\/9*d**2 - 1\/27*d**6. What is l in z(l) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -7*z + 125. Let a be ((-6)\/(-15) - (-17)\/(-5)) + 22. Let l be c(a). Let s(q) = q**3 - 6*q**2 + 3*q + 1. Let j be s(5). Is l greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 2*b - 144, -4*b + 3*c + 272 = c. Let r = 14 - 9. Suppose 4*y = 3*z + 2*z - 90, -18 = -z - r*y. What is the remainder when b is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -103, -464, -1073, -1936, -3059, -4448, -6109?\n\"Answer: -s**3 - 118*s**2 + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of 5*q**4\/12 + 4*q**3\/3 - 5*q**2\/2 - 2*q. Suppose -44 = 4*x - 5*f, 3*x + f = -0*f - 14. Is o(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5681 - -11044. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 16 (b) -5 (c) 0 (d) -1\/4 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 102 and 272?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 + 41 + 15*w**3.\nAnswer: 15*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d**3 + 57*d**2 - 57*d**2 - 17 + 17.\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1253.7 plus -1?\nAnswer: -1254.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 96 - 73 = 9*d, -27*d = -5*i - 23*d + 88 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0*r**12)**(-14\/5) assuming r is positive.\nAnswer: r**(-168\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4*f**2 + f + 3. List the prime factors of x(-4).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 193 + -23. Let y = t - 101. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 3:25 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 4*r - 0*r - 285, r - 171 = -3*c. Suppose 7*t = 4*t + c. Calculate the greatest common factor of 133 and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**3 + 173*d**2 + d**3 + 127*d**2 + 60*d**2 - d**3.\nAnswer: -d**3 + 360*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 * 0.31.\nAnswer: -0.0093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*w + 27*w + 300495 = 25*w. List the prime factors of w.\nAnswer: 13, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-7)*(-2)\/(-24)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -6*l**2. Let s(m) = -8*m**2 + 4*m + 4. Let p(q) = -13*q**2 + 9*q + 7. Let x(o) = 4*p(o) - 7*s(o). What is x(f(h))?\nAnswer: 144*h**4 - 48*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 7*r + 5*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -78*-282\nAnswer: 21996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -237, -232, -227, -222, -217, -212?\nAnswer: -207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.25, 2\/25, 0.4, -0.2, -316.4?\nAnswer: -316.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 1:36 PM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 22*n - 1. Let c(k) = -13*k**2. Calculate z(c(y)).\nAnswer: -286*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 57821 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -1675*w**2 - 33615*w - 2303. What is u(-20)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**2\/23 + 3258990*x\/23 = 0. Calculate x.\nAnswer: -1629495, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 299681 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 greater than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvtt when four letters picked without replacement from {v: 2, t: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -5*q. Let b(w) = 11*w. Let a(x) = 4*b(x) + 9*d(x). Suppose 6*h - 24 = 3*h. Let t(v) = h*v + 2*v - 8*v. What is a(t(m))?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-48)\/15 - (0 - 0)) + 3. Let h be 4 + 5 + -7 - (-9)\/6. Which is smaller: t or h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -f + 435, -24*f = -26*f + 4*g + 800. Let y = -415 + f. What is the biggest value in -0.4, y, 12\/13, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 998983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 362 - 31. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 2*r + r - 16, 4*y + 12 = 4*r. Calculate the least common multiple of y and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*q = -5*q + 4*k - 524, -24 + 71 = -3*q + 4*k - 0*k for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4*d + 80 = -0*n, -4 = 4*d. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 262*k - 256. Let u be t(1). Let w(f) = f. Let l(y) = -y**2 - 4*y + 3. Calculate u*w(a) + 2*l(a).\nAnswer: -2*a**2 - 2*a + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {e: 3, n: 1, p: 12}.\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 408 divide 1011024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 3 - (88 - (0 + -23 + 18))?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -144, -218, -162, 90, 604?\n\"Answer: 11*l**3 - l**2 - 148*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, v: 5, y: 3, g: 2, d: 2, p: 1}. Give prob of picking 1 v, 2 e, and 1 d.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v. Let y(n) = n. Let g(l) = 2*h(l) - 7*y(l). Let o be g(-1). Is 2\/9 not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*p, -5*m = 2*p + 5 - 17. List the prime factors of 4 - -3 - m - (-86 + -2).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/32 and -149\/1170?\nAnswer: 18720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of 7*x**5\/30 + 17*x**4\/36 + x**3\/18 - x**2\/3 + x + 3. Let u(a) be the first derivative of c(a). Find m, given that u(m) = 0.\nAnswer: -1, -1\/2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-250))\/(18144\/2880).\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2213 (base 13) to base 5.\nAnswer: 122443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/3688 and 13\/1268672.\nAnswer: 1268672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13887.9985286 + 13888. What is l rounded to four dps?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-67 - -66) + (0 - 1 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53676.02 + 0.05.\nAnswer: -53675.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1\/7, 0.01, -20, -0.3 in descending order.\nAnswer: 1\/7, 0.01, -0.3, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 67283509031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44507 = 401*c - 32864 + 14420 + 5207 for c.\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 0.49.\nAnswer: 0.245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 80*d**2*g - 1935*d**2 + 4*d*g + 844*d + 2*g + 1 wrt d.\nAnswer: 160*g - 3870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 + -21. What is the smallest value in -4, r, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42778*a**2 + 9*a + 902 wrt a?\nAnswer: -85556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 96, 158?\nAnswer: 220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8651 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1246.6 or -77?\nAnswer: -1246.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*r - 4*f, -1621*f + 1617*f - 11 = 3*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6291385 is divided by 146310?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 3*t**2 - 1. Let u be i(-4). Factor -9*x + 14*x**3 + 9*x**2 - 3*x**2 - u*x**3.\nAnswer: -x*(x - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + h = 6*o - 16, -4*o = 4*h - 16. Suppose o*f = -z + 430, -f + 3*z = -0*f - 114. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 215164 - 215167. Let a = 3.89 - -0.11. What is the second biggest value in 0.1, -1\/4, t, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.10394 + -0.39606. Let t be (2\/3)\/(22\/6). Which is the nearest to -0.05? (a) t (b) q (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -425, 2, -225, -3 in decreasing order.\nAnswer: 2, -3, -4, -225, -425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - (-2 + 4 - 1). Solve 6*r**3 - 2*r**4 - r**z + r**4 - 4*r**3 = 0 for r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - (-587)\/(-208) - 0. Let q = y - 3\/26. Which is the third smallest value? (a) q (b) -0.5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tb when two letters picked without replacement from etbe.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 12:37 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 2, 357, -635 in increasing order.\nAnswer: -635, -4, 2, 4, 357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2078\/(-68) + -1 - (34 + 34650\/(-1020))*-2.\nAnswer: -63\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + -2)*(42\/(-9))\/(-7). Suppose -5*z + 169 - 709 = 0. Is (-56028)\/z + o\/(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/30 and -67\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5*b = 2*f - 25, -f - 4*b = -20. Factor -3*u**2 + 16*u**3 - 12*u**4 - u**3 + f*u**4.\nAnswer: -3*u**2*(u - 1)*(4*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 7*k - 5. Let v be x(5). Suppose v + 5 = 5*g, g = a - 24. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5 = 0, 4*d + 5*q - 163 = 2*q. Let n be (-8)\/d + 4\/70. What is the nearest to -1 in 0.3, n, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-530)\/(-20)*(-5 + 9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**5 + 40*w**4.\nAnswer: 2*w**4*(w + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*z - 621114 = 1143423. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 165769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 128 + -75. Does 22 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7050*w**3 - 6997*w**3 + 2*w**4 - 3*w**4 - 5 in the form l*w**3 + r*w**4 + t + f*w**2 + c*w and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 6*b**2 - 59*b - 269. Determine l(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22034 + 22037. Suppose -2*n + 0*n = -20. Let d be 2\/(-5) - 2\/n. Sort 0, d, i, 0.1 in ascending order.\nAnswer: d, 0, 0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1 + (-1*(4 + sqrt(128)) - (sqrt(128) + -1)*3) + 2)**2.\nAnswer: -256*sqrt(2) + 2064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 20, 19, 10?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4*v - 22. Let q be l(18). Let o = -51 + q. Is o > -2\/81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 248, 2\/11, 36 in increasing order.\nAnswer: 2\/11, 1\/3, 36, 248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 3. Let f(l) = -3*l + 2. Let o(i) = -i**2 - i - 2. Let c(z) = -2*z**2 + z - 8. Let v(k) = -c(k) + 3*o(k). Give b*v(n) + 3*f(n).\nAnswer: 2*n**2 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26813135 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.017783545 rounded to five decimal places?\nAnswer: -0.01778","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 247 - 267. Let s(z) = z**2 + 19*z - 16. Let b be s(p). Let r(o) = o**2 - 4*o - 4. Let t be r(5). Which is smaller: t or b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.022449824 to four dps.\nAnswer: 0.0224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from irrirrrrirriri?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 f when three letters picked without replacement from xfppdppdzxxzdddxdfz.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2067581, 2067516, 2067451, 2067386, 2067321?\n\"Answer: -65*w + 2067646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 507*r + 556*r - 6 - 1065*r.\nAnswer: -2*r - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2162 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 60 + 39 - 2*h - 36 + 14 + 20 as a*h + s and give s.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9173, -9174, -9175, -9176, -9177?\n\"Answer: -w - 9172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 87 - 19. Let s = 70.15 - d. What is s rounded to 1 dp?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -431410, -862826, -1294252, -1725694, -2157158?\nAnswer: -2588650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 440\/57 (b) -3\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 21 = j. Let o be (3 - -3) + (-703)\/19. Let h = 35 + o. Solve m + 2*v = h*m - j, 0 = -m - 5*v - 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 4)*(-10)\/10 + 0. Find the second derivative of -20*h - 35*h**3 - 16*h**4 + 35*h**m wrt h.\nAnswer: -192*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-4) - (-90)\/(-100). What is the nearest to 0 in -4\/5, -2\/13, x?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 1\/281 (b) 0.3 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 13, 0, -21 in decreasing order.\nAnswer: 33, 13, 0, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 2\/5 (b) -292 (c) -50\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 2:16 AM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**2 + 7*p - 2. Let h be t(3). Suppose 0 = 55*d + 2903 - 593. Put d, -5, h in descending order.\nAnswer: h, -5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*y = 2*n + 19, -3*n + 3*y = 6. Suppose 0 = -5*j - 3*z + 82 - 8, -n*j + 56 = -4*z. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 129.\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1436049 is divided by 505?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 32042705546865 - -0.2?\nAnswer: 32042705546865.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -3\/4, -2, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16.432401 - 0.378699. Let n = 1.2599 - k. Let q = n + 0.129. What is q rounded to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61007 = 37*u - 60859 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 60.271 + -58.7. Let k = s + 0.359. Let m = k - 2. Put -3, m, 0.5 in decreasing order.\nAnswer: 0.5, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (11 - (-8 + 7)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-28)\/(-21) + (-4)\/(-6). Let l(x) = 94*x**2 + 0*x - 86*x**g + x. Give l(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = a. Solve -3*n + d = -a*n, 0 = 2*d for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16291 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -84 - -250\/3. Let t = 164.5 - 292. Let i = t - -14.5. Which is smaller: i or d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 1 (b) -0.2 (c) -0.5 (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (195\/(-39))\/(((-120)\/(-5))\/6)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -714217 by 397.\nAnswer: -714217\/397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 990?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -acfa (base 16) to base 3.\nAnswer: -2020202002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2829*f**2 + 4. Let z(j) = -5*j + 1. Calculate h(z(a)).\nAnswer: -70725*a**2 + 28290*a - 2825","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -81 - -83. Suppose n*c - 4 + 0 = 0. Let z(w) = -21*w**3 - 11*w**2 + 11. Let i(p) = 4*p**3 + 2*p**2 - 2. What is c*z(x) + 11*i(x)?\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k**0\/k)\/k*k*k)**38)**(-35)*(k*k*k**(-1\/11)*k*k\/(k**(-2\/11)\/k*k*k)*k)\/(((k\/(k\/(k**1\/k)*k))\/k)\/k*k*k*k*k**(-2\/11)*k) assuming k is positive.\nAnswer: k**(-14594\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 38.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, 0.08, -0.032, 0.01, 338?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/((9\/135)\/(3\/1*(-44)\/(-330)))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (270*y + 36*y**2 - 270*y)*(18 - 4 + 24)*(-2 + 1 + 0).\nAnswer: -1368*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2371 is divided by 200.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m + m - m. Let u(o) be the second derivative of -o**4\/4 + 8*o. Determine d(u(r)).\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/9 (b) -0.28 (c) 2\/9 (d) 37\/3 (e) -0.3 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-4 + (sqrt(539) + -1)**2 + (sqrt(539) - (-4 + 0 + sqrt(539))) + (-2*-2*sqrt(539) - (1*sqrt(539) + -3))**2)*2 + 1.\nAnswer: 224*sqrt(11) + 10800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 - 59 = -3*k + 3*s, 147 = 4*k + 5*s. Suppose -k = -4*r - 34. Let b(a) = 2*a**2 - a + 2. Determine b(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-4*sqrt(35))\/sqrt(5))**2.\nAnswer: 1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14123 + -22202?\nAnswer: -6057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 7. Let p = t - 2.9997. What is p rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -4 + (sqrt(165)\/(sqrt(5)*2)*-4)\/(sqrt(432)\/sqrt(9) - (sqrt(27) + (sqrt(243) - sqrt(27)))\/sqrt(9)))**2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-1 + (sqrt(612) + -1 + sqrt(612))**2 + sqrt(612))*1 - -3*4*(sqrt(612) + sqrt(612) + -2*sqrt(612)*6 + sqrt(612))**2) + 4.\nAnswer: -18*sqrt(17) + 597319","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**9*g)\/((g**(5\/8)*g)\/g) assuming g is positive.\nAnswer: g**(75\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of 5\/3*d**3 + 7 + 0*d**4 + 0*d**2 + 6\/5*d**5 + 0*d. Find the third derivative of q(n) wrt n.\nAnswer: 144*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1486414 and 314?\nAnswer: 233366998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = x - 3*y + 25, 45 = 3*x + 3*y. Let v be x\/6 + 4\/(-6). Put v, -3, 3 in descending order.\nAnswer: 3, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ba078b (base 14) in base 15?\nAnswer: 847299","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(5\/4)\/n*(n*((n*(n*n**(2\/17))\/n)\/n*n)\/n)\/n*((n*n**1)\/n)**(-8\/5))**(-27) assuming n is positive.\nAnswer: n**(11313\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -295486000 to the nearest one million.\nAnswer: -295000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f**(3\/8)*f)\/f)*f**(-2\/9)*f*f)**(-45)*f*f*(f*f*(f**(-1\/7)*f)\/f)\/f*f*f**3*(f\/((f\/(f\/f**(-2))*f)\/f*f))\/(f*f**(-3\/2)) assuming f is positive.\nAnswer: f**(-5531\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -231, -428, -619, -804, -983, -1156?\n\"Answer: 3*v**2 - 206*v - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-7)\/(x**0\/x)*(x**(2\/3)*x)**(-1\/81))**(-1\/10))**(13\/7) assuming x is positive.\nAnswer: x**(2717\/2430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97767 is divided by 202?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*(sqrt(70)\/(sqrt(35)\/sqrt(7)))\/(2*sqrt(7)*-3))**2.\nAnswer: 50\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2042*k**4 + 37*k**2 + 23. Let c(l) = 1021*l**4 - 18*l**2 - 11. Let n(z) = 9*c(z) + 4*w(z). Find the third derivative of n(a) wrt a.\nAnswer: 24504*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of 17*l**5\/5 - 25*l - 10. What is the derivative of g(x) wrt x?\nAnswer: 68*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 + 23. Let u = -4.99 + r. Let s be (-8)\/(-70)*(-5)\/(-2). Are u and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/9 (b) 475 (c) -2 (d) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -4*p + 5. Let a = -2 + 3. Let f be (4 + 0)*a\/1. What is u(f)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/4 - (6 - 350\/56)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-155 + 317 - 107) + (-1 - -1 - -1)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -9*g**3 - 52*g**2. Let z(b) = -5*b**3 - 26*b**2. Calculate 4*c(o) - 7*z(o).\nAnswer: -o**3 - 26*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/3)\/(18\/(-36)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 212 divide 7345754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -58, 22, 5, -15 in descending order.\nAnswer: 22, 5, -15, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 5 + 2)*(3*g - 4*g + 3*g) - 40*g + 7*g - g)*(-2*g**2 + g**2 + 2*g**2)*(49*g**2 + 40*g**2 - 68*g**2) + (2*g**4 - 3*g**4 + 2*g**4)*(2*g + 4*g - 4*g).\nAnswer: -796*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.9 * 0.04.\nAnswer: -0.436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 378, -2\/19, 5\/87?\nAnswer: 5\/87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 5*s = -30, 4*s + 33 = 45. Is 14 a factor of (-1083)\/12*((0 - w) + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -5*t - 2. Let l be (-7)\/(-189)*-3 + (-219)\/(-27). Suppose 3*w - 5*c = -l - 6, -t*w - 4 = 2*c. Let z(p) = -2*p**2 - 4*p + 1. Determine z(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 3*v**2 - 3*v + 17. Let y = 129 - 126. What is the lowest common multiple of r(y) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - 8*n + 5. Let p be l(8). Let h(c) = -2 + p - c**2 + 5 - c. What is h(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 293*x**4 - x + 113 wrt x.\nAnswer: 3516*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (3\/3)\/(-7)*-30 and 2\/(-18)*((-106)\/2 + 2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 36523, 0, 5, -71, -5 in descending order.\nAnswer: 36523, 5, 0, -5, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -9*h + 5. Let r(j) = 13*j - 7. Let o(t) = 7*n(t) + 5*r(t). Let g(k) = -12*k. Calculate g(o(f)).\nAnswer: -24*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -44 - 4. Calculate the remainder when 44 is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -662 + 927. Let s = w - 255. What is the remainder when 39 is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(44)*-3 - (sqrt(11) + -5*(sqrt(33)\/sqrt(3) + sqrt(11))))**2.\nAnswer: -594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/(-9) - 5)*(0 + 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 54 = -4*d. Let z be 0 + (1\/3 - (-66)\/d). Calculate the highest common factor of z and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 864 and 849249?\nAnswer: 81527904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**2\/4 - 62399*x\/4 = 0.\nAnswer: -62399, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-1*sqrt(1377))**2 - (sqrt(17) - sqrt(17)*2)*-5).\nAnswer: -25*sqrt(17) + 6885","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*-1*sqrt(190) + sqrt(190))*-4*5)\/((sqrt(10) - sqrt(40)\/sqrt(4)*3) + -1*sqrt(10)*-3).\nAnswer: -140*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2*w = 17560, 8786 = 398*g - 396*g + 2*w. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -67. Suppose 6*v - 9*v + i = 0. Does 6 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i + 2*i - i)*(2 - 1 + 0) - 1086 + 1086 - 184*i + (2 + 2*i - 2)*(-2 - 2 + 5) to j*i + o and give j.\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 65\/7, 69, 7, -0.13 in increasing order.\nAnswer: -0.13, 7, 65\/7, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of -43*k**7\/210 - 17*k**5\/20 - 52*k**2. Find the third derivative of z(m) wrt m.\nAnswer: -1032*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 17109?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1502\/(-2253))\/((-1)\/6). Sort n, 5, -749.\nAnswer: -749, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**2 - 41*w. Let v(n) = -8*n - 11. Let c(i) = -3*i - 4. Let t(r) = 11*c(r) - 4*v(r). What is t(f(x))?\nAnswer: 2*x**2 + 41*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 22 - 1. What is the second derivative of 0*m + 10*m - 3*m - 17*m**u wrt m?\nAnswer: -102*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 h when three letters picked without replacement from {c: 9, h: 2, l: 7}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) - (-3*sqrt(70)*2 - sqrt(70)))\/(sqrt(160)*6).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (sqrt(9)\/sqrt(192) - sqrt(3)))**2 - (sqrt(300)*2 - sqrt(300))**2) + 1.\nAnswer: -18461\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2246 = 67*y - 769. Calculate the remainder when y is divided by 34.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -30998*a + 31008. What is r(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -983, -3866, -11545, -26414, -50867?\nAnswer: -87298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2 + 63*w + 426. Let s(m) = -7*m**2 - 220*m - 1492. Let t(i) = -18*a(i) - 5*s(i). Determine q, given that t(q) = 0.\nAnswer: -26, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160*p**2 + p**2 - 136*p**2.\nAnswer: -295*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 39\/(-26) - (-14)\/12. Which is smaller: d or 0.85?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -9*m - 36. Let r = -16 - m. Let b(y) = -8*y + 13. What are the prime factors of b(r)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/35*-4)\/((-228)\/(-266)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yuuuuyuy. What is prob of picking 4 u?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + y**2 + y - 4. Let u(g) = -4*g**3 + g**2 - 3*g + 4. Determine u(s) + w(s).\nAnswer: -3*s**3 + 2*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.25798 plus -3153?\nAnswer: -3152.74202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25560004 = 2*h - 2*a, 3*a - 15 + 9 = 0. What is h rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -14 - (-5 + 2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) 1 (c) 2 (d) -3\/157\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 16, 7, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*q**2 + 5*q - 477?\nAnswer: 20*q + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**3 - 2*v**3 + 4*v**3 + (-v**3 - v**3 + 4*v**3)*(-2 + 0 + 4) - 85*v**3 + 41*v**3 - 175*v**3.\nAnswer: -216*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -2*z - 11, -5*c - 4*z = -0*z + 17. Let u be 3*c - ((-30)\/(-6) - 10). Solve -u*k + 5*a - 10 = 3*k, -5*k - a = 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -206664 + -321?\nAnswer: -210315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 263*q + 6525. Give j(-25).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-11)*((-12)\/(-30))\/1.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ijji when four letters picked without replacement from jjijjjijj.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47 + 47. Let y = z - -78. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19451047 to the power of 1\/3, to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 18, t: 1}. Give prob of sequence ee.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(4\/2) + -16 + 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.218 + 2.818. Sort -2\/29, -13, 0.05, b, 2\/7 in ascending order.\nAnswer: -13, b, -2\/29, 0.05, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -4. Suppose 5*l + 10 = x, 2*p + 2*l = 6*p - 48. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i**3*x**4 + 206*i**3*x + 2*i**3 + 8*i**2*x**4 - i**2*x**2 + 2*x**3 wrt x?\nAnswer: -48*i**3*x + 192*i**2*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -2051759.\nAnswer: -8207036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and 66.135543.\nAnswer: 67.135543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-8) - 57\/(-12). Suppose r - 16 = w*d, 4*d + d = -3*r - 12. Solve 3 = 3*i, -2*u + r + 8 = 5*i for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 55*d + 56. Let b(w) = -112*w - 111. Let t(p) = 3*b(p) + 5*q(p). What is the derivative of t(o) wrt o?\nAnswer: -61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (2 - 5 - (-99 + 90)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89422, -178784, -268146, -357508, -446870, -536232?\nAnswer: -625594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 15\/4 of a millimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.1 - 1.1. Let t = -106 - -148. Let r = t + -44. Which is greater: r or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5004 and 9.\nAnswer: 5004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 324428468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/13792 and 47\/504.\nAnswer: 868896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 976 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((2*12)\/3)\/2. Suppose y = 2*d + 3*n + 2*n, 4*n + 43 = 5*d. Let i = d + -3. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4007 - -0.2?\nAnswer: 4007.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of g**4\/4 + 11*g**3\/3 + 9*g**2\/2 - 5*g + 4. Is p(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 - 14 = 3*g. Calculate the highest common factor of g and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -1\/20, -1\/4, -23\/1624?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 12:50 PM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 238a99 (base 11) to base 14.\nAnswer: 9ba75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*h**3*t**3 - 11*h**3*t - 261*h**2*t**4 + 128*h*t**2 + 2*t**3 wrt t.\nAnswer: 18*h**3 - 6264*h**2*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 15 in decreasing order.\nAnswer: 15, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18414?\nAnswer: 2, 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -281, -649, -1005, -1343, -1657, -1941, -2189?\n\"Answer: k**3 - 375*k + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-111)\/185)\/(2\/10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7076.964 hours to minutes.\nAnswer: 424617.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -3, 30\/47 in descending order.\nAnswer: 5, 30\/47, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) - 4*-1*sqrt(475)) + 6*1*sqrt(475) + sqrt(475))**2 - (-4*sqrt(95)\/(6*(sqrt(5) + (sqrt(10)\/sqrt(2) - sqrt(5)))))**2.\nAnswer: 615524\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1008 divided by -5\nAnswer: -1008\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, w: 9, h: 1, n: 1}. What is prob of picking 2 p and 1 h?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zoo when three letters picked without replacement from ztwowoewowztmmttwtmw?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 5*n**3 - 3*n - 1. Let i(f) = -f. Let o(b) = 4*i(b) - x(b). Let g be o(1). Is g >= -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1345044 divided by 8.\nAnswer: 336261\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3546 - 6510 - 5*l**2 + 2964.\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -90\/11 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2 + f**3 - 3 + 5.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*m - 26*m + 42*m)*(m**2 + 0*m + 0*m)*(7 - 3 - 3)*(-41*m - 436 + 436).\nAnswer: 820*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*(2*sqrt(77)*-5 - sqrt(77)))\/(((sqrt(35) + sqrt(175)\/sqrt(5))*-4)\/(sqrt(1125)\/sqrt(9))).\nAnswer: -275*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + -2. Let l be 2*(78\/12 - 8). Let g(h) = 2*h**3 - 4*h**2 - 4*h. Let j(t) = -t**3 + t**2 + t. What is l*g(f) + p*j(f)?\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 232*x + 460. Let k be d(-2). Put 0.5, -2, k, 4 in increasing order.\nAnswer: k, -2, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*w**6 - 13252*w**4 - 639035*w**2?\nAnswer: 3360*w**3 - 318048*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ve when two letters picked without replacement from {u: 7, v: 1, n: 4, e: 8}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u + 5 = -18*u, 5*f - 4*u = 280. Calculate the highest common factor of f and 12756.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 10*j**2 - 313*j - 279. Determine y(-23).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 7:30 AM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13181549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 4. Suppose 19 = g + 3*j, 3*j + y = 4*j. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (91\/(-2))\/(2\/(-4)). Suppose -5*q = m - o, -5 = -2*q + 3*m + 45. Calculate the remainder when 75 is divided by q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 14*k + 2. Give t(-3).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - 42*n + 361. Give y(-38).\nAnswer: 513","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*v = 90 + 22. Let n(h) = h**2 - 5. Let g be n(0). Which is the nearest to 2\/3? (a) v (b) g (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38709*1.1.\nAnswer: 42579.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + 14*b - 17. Let d be (-11)\/((-110)\/(-50)) - 12. What is f(d)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35112?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*a**2 - 9*a**2 - 10*a**2 + 11*a**3 wrt a?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 62702.\nAnswer: 2\/31351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wxx when three letters picked without replacement from {t: 3, m: 1, r: 1, x: 3, k: 1, w: 6}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 242804 and 3232.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -30*o. Let d(j) be the third derivative of j**6\/90 + 29*j**3\/6 - 15*j**2 - j. Let i(y) be the first derivative of d(y). What is q(i(a))?\nAnswer: -120*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*r**5 - 80*r**4.\nAnswer: 2*r**4*(11*r - 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -381176553 divided by 10302069\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(1\/((-1)\/(-2))). Let q(o) be the first derivative of 2 + 1\/8*o**4 - 1\/6*o**3 + t*o - 1\/2*o**2. What is i in q(i) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-4)*2)\/(6\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2))**9)**(1\/33)*(((q**(-8)*q)\/q)\/(q\/q**(-1\/12)*q))**(9\/5) assuming q is positive.\nAnswer: q**(-4113\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 240\/216 + 2*(-5)\/40*0?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/24 of a decade?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-549)\/(-1830))\/((-9)\/120)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*263841\nAnswer: -26384.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f + 136 = 21*f. Differentiate f*t - 23*t**2 - 13 - 34*t with respect to t.\nAnswer: -46*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1927 and 235?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 3, -5 in descending order.\nAnswer: 20, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 8074498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4098816885.\nAnswer: 3, 5, 273254459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 141724 - 29831. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*t**4 - 9*t**5 + 0*t**5 + 4*t**3 + 7*t**4 + 44*t**3 + 8*t**5.\nAnswer: -t**3*(t - 16)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (4 - (0 - 2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ifffffffcff. Give prob of picking 4 f.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 5*p + 2*p)*(2*p - 2 + 2) - 2 + 2 - p**2 + (0 - p + 0)*(5*p - 3*p + 0*p).\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 k when two letters picked without replacement from {k: 2, r: 1, n: 1, u: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4263150 is divided by 1065781?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -132817.99997 + 132820. Let t = n + -2. What is t rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 0.1014 (c) 45 (d) -42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of p**2\/2 - 2. Let k(q) = 256*q + 242*q - 10*q**2 + 26*q - 524*q. What is k(h(l))?\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6948 + 6954. What is the third biggest value in 2, 0.08, v?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -12287588.\nAnswer: 12287588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 855.4666 centuries in years?\nAnswer: 85546.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.13982 to one dp.\nAnswer: -13.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -60285487.8 and 127.\nAnswer: -60285360.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1066233, 1066251, 1066283, 1066335, 1066413?\n\"Answer: r**3 + r**2 + 8*r + 1066223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 + 143 = 2*x - 3*a, -4*x - 3*a = -418. Let b = x + -62. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -62056264?\nAnswer: -62056260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -4*l - 1 - 3, -2*l = -3*p + 2. Solve 0 = -8*q + 4*q + c + 18, p = -q + 5*c - 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11739549*p + 2*p**2 + 11739549*p.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of g**5\/60 - 14*g**2. Let a(m) = 19*m**2. Give j(a(w)).\nAnswer: 361*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 15*s - 417. Give z(24).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 42 = 2*k. Suppose -4*h + 62 = -k. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -120237, -3, -20, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57822 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) 0.09 (c) -11 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 2\/9, -3\/11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 21*k**2 + k + 65. Let d(y) = y**2 - y + 2. Let f(m) = -3*d(m) - u(m). Find the second derivative of f(p) wrt p.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 3. Let q = -0.5 - -3.5. Let w = 63350 + -63350.08. Which is the third smallest value? (a) w (b) j (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66 divided by 5.\nAnswer: 66\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -52.1 + 52. What is the nearest to v in -1, 4, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * -22452.\nAnswer: 179616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -f**7\/5040 + 7*f**5\/12 + 39*f**2. Let h(y) be the third derivative of b(y). Let a be h(0). Solve 12 = -a*n + 3*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -392, -395, -400, -407, -416, -427, -440?\nAnswer: -455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 10:32 AM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = l - 6*l. Suppose l = 3*b - 5. What is the highest common factor of 6 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5229 is divided by 2614.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*r = -2524 - 326. Calculate the highest common divisor of 20 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffgsfgooffo. What is prob of picking 1 f and 1 s?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 minus -5996531698131?\nAnswer: 5996531698092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/81? (a) -22\/161 (b) -10.5 (c) -2\/9 (d) -2\/15 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3223015, -3223017, -3223019, -3223021?\nAnswer: -3223023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 36241, 36231, 36199, 36133, 36021, 35851, 35611?\n\"Answer: -2*g**3 + g**2 + g + 36241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-37 + 2695\/110)*88\/55.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.094 - -0.834. Is v equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/10)\/(((-32)\/5 - -6)*4)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 789553463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -7*z + 20. Let i = 814 + -811. Suppose 0 = 4*t + 2*d - 20, -d + i = 1. Determine h(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2 + sqrt(1300)*-1)**2.\nAnswer: 40*sqrt(13) + 1307","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 131, 161, 217, 305, 431?\nAnswer: 601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -143, -204, -305, -446, -627?\n\"Answer: -20*w**2 - w - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-10))\/((-177)\/(-590)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -15622549?\nAnswer: -15622554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -301234112323 + 4?\nAnswer: -301234112314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -8*n + 7. Calculate g(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (18\/30)\/((-1)\/(-5)). Suppose z - k*z = 5*j - 27, -5*j + 15 = 5*z. Let f(b) = b**2 - 6*b + 12. What is the remainder when f(j) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 102*t - 55*t - 52*t + 25, -2*y + 6 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(720) + 1)**2 + 1).\nAnswer: 72*sqrt(5) + 2166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.082 - -0.0819849. Round f to 6 decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/(b**(3\/10)\/b))\/b*b)\/b)**(-1\/30)\/((b\/b**(9\/5))\/b*b*b*b\/(b*b*b**(-3)\/b*b*b*b)))**(-5) assuming b is positive.\nAnswer: b**(67\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 4017 - 4056 = 7*s, 48 = 2*s + 3*l for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -40*l + 242. Let f be q(6). Let h(z) = -z**2 - 4*z + 7. Let m be h(-6). Which is the biggest value? (a) f (b) 4 (c) -0.4 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -32? (a) 3\/95 (b) 0.5 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -18, 1, -2 in descending order.\nAnswer: 10, 1, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(32)\/sqrt(4))*-2 - -4*-1*(sqrt(3) + 1).\nAnswer: -6*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/12 and -41\/15755222.\nAnswer: 94531332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2.632679+-0.108947\nAnswer: 2.523732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3)\/h)**31*(h**(-1\/8))**(3\/41) assuming h is positive.\nAnswer: h**(-40675\/328)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 109 and -27168.143008?\nAnswer: 27277.143008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of 0*u**4 + 29\/6*u**3 + 0 + 0*u**5 + 4\/5*u**6 + 0*u**2 + 25*u. Find the second derivative of l(h) wrt h.\nAnswer: 288*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40 + 29*h - 26*h + 12 to r*h + z and give z.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 21*g = 150 + 6 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of a**3\/3 - a. Suppose 20 = 3*x + m, 2*x - 4*m + 20 = 4*x. Let q(k) = -6 + x + 6*k**2. Determine q(o(c)).\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -1\/4*n**4 + 9\/2*n + 2*n**2 + 9\/4 - 1\/2*n**3 = 0.\nAnswer: -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12135 + -12110 - (-184)\/(-2).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -59*j**2 - 7*j + 5*j + 64*j**2 - 8*j + 10. Is d(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -16717, -16710, -16703, -16696?\n\"Answer: 7*m - 16724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 71731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/675, 2\/7, 1, 9\/8, -2\/7?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 2*q + 4*q)*(0 + 5 - 2)*(3*q - q**2 - 3*q + 1).\nAnswer: -3*q**3 + 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 3*w. Let d(g) be the third derivative of -g**4\/24 + g**3\/3 - 31*g**2. Let x be d(w). Solve -2*a - 6 = -4*f, a + 18 = 5*a + x*f for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/8 and 1473\/(-1792) + (-750)\/(-875).\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-35)*63*114\/(-76)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 12 = 12. Let p = -4 - -15. Calculate the remainder when p is divided by -4 + (2 - -2 - u).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-3\/2)\/f**(-1\/6))\/(f*f**(-2\/3))**(-6))\/(((f\/(f\/(f\/f**(-2\/17))))\/f**7)\/(f**1\/f**(-2))) assuming f is positive.\nAnswer: f**(487\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -4*p, 206*x = 208*x + 5*p - 55 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3772143436?\nAnswer: 2, 943035859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 85 (base 16) to base 13\nAnswer: a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 65.8 and -33.\nAnswer: 32.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*s + 1103 = 534 - 1069. Let z(j) = -2*j**3 - 2*j**2 - 2*j. Let t be z(-2). What is the greatest common factor of t and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(3 + 469\/(-112)). Let t = r + -33\/152. What is the common denominator of t and 59\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31457 and 1516.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5484924 is divided by 3027.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o**5 + 7721*o**3 + 70*o**2 - 5*o - 2 wrt o.\nAnswer: 60*o**2 + 46326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*t**2 - 120*t**2 + 41*t**2 + 254 + 43*t**2.\nAnswer: 2*t**2 + 254","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 - -34. Let w be (-4*2 - 2)\/(q + -2). Sort -1, w, 1 in decreasing order.\nAnswer: w, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/14 + (-225)\/315. Is -1\/897 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -8*b - 5. Let q(a) be the third derivative of -5*a**4\/8 - 3*a**3\/2 + 5*a**2 + 6*a. Suppose -25 = 4*r + r. Calculate r*q(t) + 9*w(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j - j + 4*j)*(217 + 388 + 68*j**2 - 624) to m*j**3 + v + n*j + s*j**2 and give n.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 9*h**2 + 525*h + 655. What is s(-57)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 4)*(-r + 2*r + r) + (1 + 1 - 1 + 2*r)*(2 - 1 - 6).\nAnswer: -12*r - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -356866300 rounded to the nearest one million?\nAnswer: -357000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 + (-61 - ((-41 - 20) + 33)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 253, 1445, 4589, 10633, 20525, 35213?\n\"Answer: 158*k**3 + 28*k**2 + 2*k + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cpttfbop. Give prob of sequence ftp.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -735ba (base 15) to base 16\nAnswer: -594e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 7:44 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 9*m = 5*r + 3, 2*r + 5*m = -5. Solve n + 2*n + 15 = r for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57\/((-5130)\/(-120))*4\/24.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**4 + b**3 + b**2 - b - 1. Let z(s) = -4*s**4 + 4*s**3 + 2*s**2 - 7. Let q(g) = 5*t(g) - z(g). Suppose q(d) = 0. Calculate d.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000002203436 rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -70351\/3 bigger than -23450?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 2. What is o rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -77 + 85. Suppose 5*z + f*z = 117. Solve 8*j - 5*j = -z for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m - 10791 - 7001 = 0. Let l = -557 + m. What are the prime factors of l?\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -58, -1 in descending order.\nAnswer: 5, 0, -1, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of -i**5\/10 - 2*i**2. Let u(p) = 132 + 115 - 247 + 2*p**2. Give l(u(y)).\nAnswer: -24*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -93, -92, -91, -90, -89, -88?\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 + -22.8. Let q = z + -2. What is the second biggest value in q, 1\/2, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2101102211 (base 4) to base 3.\nAnswer: -1010020100002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -36*r**3 - 131306608*r**2 - 119732105580276*r + 26607141057672 = 0. What is r?\nAnswer: -1823703, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 f when three letters picked without replacement from {k: 5, s: 4, f: 10}.\nAnswer: 75\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/456 and -139\/233016?\nAnswer: 233016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 48.97 * 143.\nAnswer: 7002.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15568868?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1227360?\nAnswer: 2, 3, 5, 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 91*t - 92*t + 616. What is the hundreds digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.36 times -0.08\nAnswer: -0.0288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 178180365 by -93533.\nAnswer: -1905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a meter in millimeters?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 0*h - 3*y + 6, 4*y = 16. Solve -h*f + p = -5 - 0, -3*f - p = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.696087195 to 4 decimal places.\nAnswer: -0.6961","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-28)*3\/(-63)*28\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m - 2*m + 7*m + 5*m to d + k*m and give k.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 5)\/(8\/(-20)). Suppose -l = 5*y, -5*n + y = -4*y - 40. What is the second derivative of 3*i**4 + 0*i - n*i**3 - 7*i + 5*i**3 wrt i?\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4*t**2 + 44*t + 6. Suppose p - 3*r = -3*p + 884, -198 = -p - 5*r. Suppose -10*f + 72 = -p. Calculate the remainder when w(-12) is divided by f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -61 and 0.163.\nAnswer: -9.943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3\/10 + -89\/5. Let k = 243\/14 + g. Let s = -2 + -3. Which is the closest to 0.1? (a) 0.2 (b) s (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, n: 2, w: 1, k: 1, t: 1, h: 1}. What is prob of sequence tn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-3640)*-28*(-15)\/(-12)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 36 = 4*r, 5873*x - 5865*x + 2*r - 6*r = -48 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -6\/2617?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13513 - 19197. Let q be (c\/315)\/(-29) - (-2)\/(-9). Factor -2\/5*u + 0 + q*u**2.\nAnswer: 2*u*(u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123163 is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -63 - -112. What is the remainder when c is divided by 100\/(-12)*(-12)\/10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000068259 rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 28*n**4\/17 + 118*n**3\/17 - 760*n**2\/17 + 728*n\/17 + 192\/17 = 0.\nAnswer: -8, -3\/14, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(6\/(-5 + 3) + 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, s: 1}. What is prob of sequence sff?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 5*y, 0 = 2*y + 3*o - 0*o - 11. Let p be y - (1 - (-22)\/(-8)). Is 0.1 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -2*w**7\/3 + w**5\/10 - w**4\/6 - w**3 - 3*w - 2. Find the third derivative of a(u) wrt u.\nAnswer: -1680*u**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1070 = -22*q + 27*q. List the prime factors of q.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1196\/(-30) + (-2)\/15. Let m be 1 - (-4)\/c*2. Factor -4\/5*g**2 + 2\/5*g**3 - 2\/5*g + m.\nAnswer: 2*(g - 2)*(g - 1)*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 2*u + 0*u + u + 3*u - 6*u + 2 - 2*u - 2 + (4*u + u - 4*u)*(1 - 3 + 3))*(-u**3 + 201*u**2 + 3703 - 3703).\nAnswer: 2*u**4 - 402*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**2)\/u*u)\/(u**(-2\/5)*u))**36\/(u*u\/u**(-3)*(u\/(u\/(u*u\/((u*u*u**5)\/u)*u)*u))\/u*u**4*(u**(-3)*u)\/u) assuming u is positive.\nAnswer: u**(427\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Divide 573273 by -6.\nAnswer: -191091\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 28070 divided by 34?\nAnswer: 14035\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ox when two letters picked without replacement from ooxoox.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5258207 a multiple of 383?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7429448?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/18089523?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 303*b**2*x - 36*b*x - x wrt b?\nAnswer: 606*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 5*a**2 + 4*a. Let p be o(-4). Let y(j) = j**3 - j**2 + j + 18. Let r be y(p). Calculate the greatest common factor of r and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {j: 7, p: 1, g: 3, y: 5, u: 2, a: 2}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n + 1. Let h be 24\/(-2) - (-13 + 16). Let z be 1 + 20\/h + 13\/3. Let m(b) be the second derivative of -b**3\/3 + b**2 - b. Give z*t(a) - 3*m(a).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 182\/8 - (-33)\/(-44). Let r = 33 + h. What are the prime factors of r?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 781 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-48)\/(-20)*20\/6. Suppose -4*c = s, -2*h + 0*c = -5*c - 144. What are the prime factors of 9\/(-6) + h*3\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3*m - 33 = 0, -2*p + 26 = p + 4*m. List the prime factors of 1014\/p + (-6)\/(-10).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 708823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10602875*t**3 - 30651*t**2 + 185 wrt t?\nAnswer: -63617250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/1 + 4 + -1. Let d(z) = z**3 - 3*z**2 + 4*z - 2. Let p be d(x). Let l be 25\/10*40\/(-25). Put l, -1, p, 0 in ascending order.\nAnswer: l, -1, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 6:39 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1)**(1\/20)\/(y**(1\/21)*y\/(y*y**5)) assuming y is positive.\nAnswer: y**(2101\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*n + 9*n - 273 = 33*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2, -0.6, 16328, 2\/7?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.5 + 0.5. Let p be (-11)\/(55\/20) - (-5 - -3). Which is the biggest value? (a) 1\/4 (b) i (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 712 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8648755954 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 466329000 a multiple of 750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11593*r*t**6 - 2*r*t**2 - r*t + 3*r + t**2 wrt t.\nAnswer: -1391160*r*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -12*i**2 - 2*i + 3. Let k be d(4). Let w = 42 - 152. Let r = w - k. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 - 38310*a + 266003712.\nAnswer: -3*(a - 4992)*(a + 17762)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 4*a + 3. Suppose 69*p - 76*p - 14 = 0. What is the units digit of d(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*q**3 + 77908*q**2 + 194812*q + 77928 = 0. Calculate q.\nAnswer: -2, -1\/2, 9741","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*a**3 + 28*a**3 - 18*a**3 + 9*a**3 + a**2 + 4*a as y*a**3 + g*a + x + v*a**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 458 is divided by 93.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.11, -5, 238?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-2720)\/102)\/(2\/(-6)) is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 10*b - 7. Let w be t(1). Find the second derivative of 3*f**3 + 68*f**2 + 153*f**2 + 57*f - 2*f**w + 23*f**2 - 243*f wrt f.\nAnswer: 6*f + 488","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -252 and -560894641?\nAnswer: 560894389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of d**4\/12 - 5*d**3\/6 + 41*d**2\/2 - 136*d. Let a be z(7). What is the highest common divisor of a and 605?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -129.297 - 46\nAnswer: -175.297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a week?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 269 by 14578.\nAnswer: 269\/14578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 100001101010?\nAnswer: -100001101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 6 - 6*c + 0*c + c. Let d be j(-3). Let w = d + -17. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1628, -6, -2, -7 in increasing order.\nAnswer: -7, -6, -2, -1, 1628","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4390 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**2 + 32*o + 20. Let x(b) = -2*b**2 + b + 39. Let y be x(-5). Let k be a(y). Calculate the greatest common factor of 85 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + -75)\/((-3)\/1263). Let v be 485862\/(-8) + 1\/(-4). Let g = v + q. What is g rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 15, 3*v - 22 = y + y. Let b be ((-6)\/v)\/((-6)\/(-16)) - -13. Solve -4*s = 4*c - 4, -4*c = 5*s - b - 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9\/(-12))\/(-1 - 2). Which is the nearest to -1? (a) z (b) -4\/7 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 463554559?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.8, -2, -72.159 in descending order.\nAnswer: 2.8, -2, -72.159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 9*z**3 - 114*z**2 + 69*z + 36 = 0.\nAnswer: -1\/3, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mohihmyo. Give prob of picking 1 m and 1 i.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 104544 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 2*a + 2. Let n be 1*-4 - -3 - 3. Let i be t(n). What is the greatest common factor of i and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, x: 8}. What is prob of picking 3 s?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1681 and 3649?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3419726 is divided by 3419724?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 192 and 672?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 0 - (17 + (18 - 24))) + -9.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f - 1. Let q(s) = -s. Let z(y) = -6*g(y) + 17*q(y). Suppose -1603*j = -1613*j - 30. What is z(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h**2 + 37*h + 1372. Calculate the remainder when 8645 is divided by o(27).\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 2*o - 3 + (1 - 4 + 1)*(-1 + o + 1) + 18*o + 41 - 41 to t + l*o and give l.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 161200091*x**5 + 230330894*x?\nAnswer: 3224001820*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 257732214?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 434637562*j**2 - 394310651.\nAnswer: 869275124*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 164 + -145 - (39 + -1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 21*n + 11. Let r be c(21). Suppose 0 = r*d - 9*d - 4. Let a(f) = -6*f - 4*f + 1 + 6*f**d - 11*f - f**3 + 15*f. Calculate a(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 10*u - 1. Let v(a) = -53*a + 543. What is 5*m(i) + v(i)?\nAnswer: -3*i + 538","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 2*k + 0 + (4*k - 2*k - 3*k)*(1 + 2 + 8) as c + i*k and give i.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.83 - -0.17. Which is the nearest to -1\/6? (a) 6\/7 (b) m (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 4, 283, -5 in ascending order.\nAnswer: -5, -1, 2, 4, 283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4517027 (base 8) to base 10\nAnswer: 1220119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/19))**(-1\/11) assuming f is positive.\nAnswer: f**(1\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rra when three letters picked without replacement from bbrrrbara.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**2 + 2*o**3 + 2*o**2 - 1 - 5*o**2 - o - 3*o**3. Let k(n) = 3*n**3 + 6*n**2 + 4*n + 4. Let y be (-7 - -2) + 2 - -4. Give y*k(c) + 4*i(c).\nAnswer: -c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u - u + 0*u)*(575*u + 39*u - 32*u)*(-3*u + 5*u + 0*u) in the form r + v*u + w*u**3 + b*u**2 and give w.\nAnswer: -2328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 15 * -0.2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/20)*i**42)\/((i*i**(-2\/95)\/i)\/(i*i*i**(2\/41)*i*i)) assuming i is positive.\nAnswer: i**(716989\/15580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 AM and 5:42 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 4 + 4. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42*-3847.\nAnswer: 161574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 53841 and 822672533?\nAnswer: 17947","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10876.87126 + 10877. Round m to two decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 n when two letters picked without replacement from {d: 1, n: 5, t: 5, y: 5, e: 2}.\nAnswer: 25\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 0) + 1 - (0 + 5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-4 - (1 - -2 - 3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*q + 9*q. Let s(c) = -65*c + 1. What are the prime factors of s(q)?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 338 - 235. What is the remainder when s is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 266116 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 790156268313 and 6.\nAnswer: 790156268319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 25901 = 10998. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -815973 or -815968?\nAnswer: -815973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 7*u**2 - 6*u + 5. Let h(s) = 2*s**2 + 66*s + 80. Let t be h(-32). Suppose 2*f - 10 = f. Let c = f - t. What is m(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*k - 8*k - 239176 + k + 239176.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1331265 and 9.\nAnswer: 3993795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2032*w + 144. Let y be r(6). Suppose y + 35537 = 7*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-66)\/24)\/((-2)\/(-8)). Let f(u) = 5*u**2 - 2. Let j(d) = 26*d**2 - 11. Let g(y) = c*f(y) + 2*j(y). Let w(k) = -3*k**2. Calculate w(g(z)).\nAnswer: -27*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least -0.02584?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35962\/9 - 4003. Calculate the common denominator of f and ((-174)\/(-99))\/((-20)\/30).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*m - 17 - 106 = 0. What is the nearest to -1\/4 in m, 0, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -96700, -193393, -290086, -386773, -483448, -580105?\n\"Answer: f**3 - 6*f**2 - 96682*f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 8*k - 2 + 19*k in the form v + a*k and give a.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - (-759)\/90) + (-25)\/20*4. Let d(c) be the second derivative of 13\/2*c**2 + 0 + o*c**6 + 0*c**5 + 0*c**4 + 11*c + 0*c**3. Differentiate d(j) wrt j.\nAnswer: 52*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -12*b**3 - 58*b**2 + 9*b + 2. Let k be d(-5). What is the closest to k in -1, 0.3, -5, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 276299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*s - 2*s + 238*s**2 - 243*s**2 - 4*s**4 + 5*s**3 + 0 + 10 to the form u*s + y*s**3 + c*s**4 + l*s**2 + b and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14*(4 + (-14)\/4). Solve u = 3*r - 4, -5*r + m = 5*u - 13 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 4 + 8. Let i be k\/(-1)*1\/2. Suppose m + m**2 - 2\/3 - 2\/3*m**i = 0. What is m?\nAnswer: -1, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c - 3. Suppose 4*k - 4 = 20. Give f(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 3:47 AM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -5*y**3 - y**2 - y - 38. Let a(n) = 7*n**3 + n**2 + 2*n + 53. Let c(x) = -8*a(x) - 11*q(x). Determine c(-3).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qggagqqggggqmgqq. Give prob of picking 1 a, 1 q, and 2 g.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -229 - -232. Suppose 0 = -3*a - 3*v + 1 + 11, i*a - 2*v - 7 = 0. Solve -2*r + 4*o = 12, -a*o = 5*r - 4*o + 12 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 587*x**3 - 224*x**2?\nAnswer: 3522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -885, -857, -831, -807, -785?\n\"Answer: -b**2 + 31*b - 915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 3*l**2 + 5*l - 8. Give w(5).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/(-28))\/((-1)\/14). Suppose -3*q - 2*x - 1406 = -5*q, -3*q - m*x = -2116. Is q a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 i when three letters picked without replacement from bijiiibb.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*w**2 - 6 + 13 - 7.\nAnswer: 22*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -x**4\/4 - 347211*x**3\/4 + 2083293*x**2\/4 - 3124953*x\/4 = 0.\nAnswer: -347217, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.6 + -0.62. Let f = j - 1.98. Let c be 2\/6 + (-3)\/(-9). Put -1\/6, c, f in decreasing order.\nAnswer: c, -1\/6, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, m: 2, z: 1, p: 2, x: 2, k: 2}. Give prob of sequence mpm.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4a95 (base 12) to base 13\nAnswer: -3b12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*q - 187 = 873 for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + i + 2 = 0, 2*i = 3*n - 0*i - 4. Let u(c) = -c - 6. Calculate u(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 + 72. Let u = r - 25. Suppose -j - 5*n = -u, -4*n = -j + 2*j - 20. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46465*g*i**2 + 4*g*i - 91342376*g - 6494*i**2 wrt i.\nAnswer: -92930*g - 12988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29925548 to the nearest integer?\nAnswer: 5470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -1\/5, -2\/21, -2, -3?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (0 + sqrt(1539) - sqrt(1539))**2 + sqrt(1539).\nAnswer: -3 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13839261*f*g**2*i + f*g**2 - 9*f*g + g**2 - 307597*g with respect to i.\nAnswer: -13839261*f*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*n**2 + 216*n - 12 = 0 for n.\nAnswer: 2\/35, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + w = -1197, -6*u - 5*w + 5985 = -11*u. Which is smaller: -1198 or u?\nAnswer: -1198","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/742 and -8\/38213?\nAnswer: 76426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-4))\/((-9)\/(-6)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -13, -28, -47, -70?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**2 - z - 2. What is the units digit of k(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of -1391*t**5\/10 + 2627*t**3\/6 + t**2\/2 + 8*t - 50. Find the second derivative of k(w) wrt w.\nAnswer: -16692*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10819, -43234, -97209, -172702, -269671, -388074, -527869, -689014?\n\"Answer: 7*z**3 - 10822*z**2 + 2*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 39*i**2*o*r**2 - 285701*i**2*o*r - 101*i**2*r**2 - 3*i**2*r + 6*i*r + i - 6*r**2 wrt o?\nAnswer: 39*i**2*r**2 - 285701*i**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.790272mg?\nAnswer: 790272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4756, -0.1, 0, -4, 18?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of 9*z**4\/8 - z**3\/6 + z**2 - 563. Give u(-2).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t - 18. Let o be n(20). Let p = -19 - o. Let d = 61 - p. Solve -d = -m - i, -3*i = -3*m - 0*i + 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 6*b - 1. Let t be x(-6). Let z be (1 - 2)\/(t\/2). Suppose -z*d + 9 = r, r + 2*r = -15. Solve -u + d = 2 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17d0 (base 16) to base 11\nAnswer: 4642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -103*m - 416*m + 12975 for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.2 and -12.537 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -61*j. Let m(o) = -36*o. Determine x(m(q)).\nAnswer: 2196*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/2*(-24)\/(-288). Sort 0.2, 0, h, -3 in increasing order.\nAnswer: -3, h, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -285, -567, -849, -1131, -1413, -1695?\n\"Answer: -282*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 87, 1, 5, 28, 0 in ascending order.\nAnswer: 0, 1, 5, 28, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 10*f + 1. Let g be t(11). Let p = 18 - g. Suppose -2*c = 2 + 2, -p = -4*x - 5*c. Solve -8 = -2*r + x*a - 2*a, 5*r - a = 12 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4582412a + 2?\nAnswer: -45824128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1422 + 3?\nAnswer: -1414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 6*f**2 - 3*f - 5. Let n be x(-2). Suppose 5*s = 5*v - n, -4*v - 4*s = -6*v + 14. Suppose -5*d = j - 14, v*d + 4 = d. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u + 30 = 5*v, -4*v + u + 18 = -6 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -151, -304, -457?\n\"Answer: -153*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 71*t**2*x - 203*t*x + t - 7*x - 8537 with respect to t.\nAnswer: 142*t*x - 203*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(-1\/6))**(-2\/53))**(2\/7))**42 assuming q is positive.\nAnswer: q**(-28\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 34859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 973950\nAnswer: 2\/486975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 917322?\nAnswer: 2, 3, 7, 21841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 20263101 rounded to the nearest one hundred thousand?\nAnswer: 20300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -692 - -3656. What is the hundreds digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*k + 2*t, -8*t - 17 = k - 3*t. Let z(f) = 3*f - 6. Determine z(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2. Let o(i) = i - 5. Let d be o(7). Let c(a) = -a**2 + 4 + d - 6. What is f(c(m))?\nAnswer: -m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - -1*(2 + 0). Let h = w + -3. Suppose -4 = -h*u + 17. Calculate the greatest common divisor of u and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 277918*0.54\nAnswer: 150075.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18634.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/10)\/(27*(-12)\/(-270)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7032 + 7*k**2 - 18*k + 7032 + 3*k.\nAnswer: 7*k**2 - 15*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 549522, 1099044, 1648566, 2198088?\nAnswer: 2747610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 192.147 - 192. Let h = 0.547 - t. Which is the nearest to -2\/7? (a) h (b) 2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -56*c**3 - 410*c**2 - 1073*c + 491. Let b(g) = 27*g**3 + 205*g**2 + 536*g - 242. Let y(i) = -13*b(i) - 6*n(i). Solve y(x) = 0.\nAnswer: -10, -4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 273685 + -273685.1. Let k = 5\/27 - 127\/540. Let r = -5.08 + 0.08. Which is the closest to 0.1? (a) k (b) g (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**3 + 46233*n**2 + 46236*n = 0.\nAnswer: -1, 0, 15412","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 n when two letters picked without replacement from {h: 1, o: 2, k: 1, m: 1, r: 1, n: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/(-9))\/((-8)\/(-645)). Let k = b + -53. Let s = k - 1. Is 1\/3 less than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2*p = -p + 48, t - p - 12 = 0. Solve x + 0*x - t = -2*h, 0 = -2*x + 5*h for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -1063 (b) 3\/20 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -125 divided by -3\nAnswer: 125\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2810*l**2 + 2*l**3 + 4*l**3 - 1990*l**2 + 1440000*l - 2*l**3.\nAnswer: 4*l*(l - 600)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/(-6) - (-10)\/(-15). Let h = b + 4. Solve -20 = 2*l + 3*l + 5*g, 0 = -g - h for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 + 0.3. Let q be 2 + 2 + 8\/(-3). Let y = 58055 + -58057. What is the closest to c in y, -2\/13, q?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1\/7, -0.3, -7 in decreasing order.\nAnswer: 1\/7, -0.3, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1.5+-999010991313\nAnswer: -999010991314.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -8, 4*m - 360 - 128 = -4*v. Calculate the remainder when v is divided by 62.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/5 (b) -467 (c) -68\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 - (-12 + (18 - 4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9543 is divided by 9535?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12414\/107 at most 116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20753 + 0?\nAnswer: 20753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1240729292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - h**2 + 560*h + 22280. What is the tens digit of k(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/(-27)*(-4)\/(4\/4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.02 and 1\/15 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xxxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 0.07?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*b**3*k**3 - 6*b**3 + 15*b**2*k**2 - 113*k**3 + 8 wrt k.\nAnswer: -66*b**3 - 678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 z, and 2 d when four letters picked without replacement from dddwkdiiz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.2084914 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 22\/(-99) - 140\/18. Let g = 2 - f. Calculate the common denominator of -9\/20 and 100\/144*44\/g.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 u when two letters picked without replacement from {u: 9, j: 2, n: 2}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(972) + -3 - (3 + sqrt(432) + -4 + 2))**2*5.\nAnswer: -300*sqrt(3) + 665","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 1:29 AM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -3*z - 0*i - 64, i = 4*z + 93. Let o = -20 - z. Suppose -o - 3 = -3*p. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(-213 + 377 + 337*d - 336*d).\nAnswer: d + 164","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/198 and -33\/28?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 l when two letters picked without replacement from {f: 3, v: 4, l: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - -551.\nAnswer: 550.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 182989637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -594 + 117 + 113 + 23*m**2 + 241 + 116.\nAnswer: 23*m**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 18610000 rounded to the nearest one million?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 1\/6 (b) -0.0681273 (c) 1 (d) 0 (e) 2 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1512 and 1512.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11332 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6824*r**2 - 15583*r**2 + 6704*r**2 + 15339*r**2.\nAnswer: 13284*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 3)*(2*m + 1 - 1) + 2*m + 0*m - 3*m + 2*m + 0*m - 5*m - 1 + 1 + m.\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1810, 628, 3066, 5504, 7942, 10380?\nAnswer: 12818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*y + y - p, -5*y + p + 34 = 0. Let m(t) = 3 + 1 + 9*t - 14 + 3*t**2 - 4*t**2. What is m(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 61.8 to zero dps.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/872 and -103\/84?\nAnswer: 18312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(0 + sqrt(1053)) - sqrt(1053) - -5*sqrt(1053)*-2)**2 + 0 - (-3 + (-5 + 1 + sqrt(208))**2 + 4 + sqrt(208)*-2).\nAnswer: 40*sqrt(13) + 206163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*l**2 + 93 - 184 - 3*l**2 + 91.\nAnswer: -30*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-116)\/(4\/2)*(-70)\/(-16520)*118.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 97566439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 20 - 32 = 0. Solve -2*d = -p*d + 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 13. What is the second biggest value in 2\/3, j, 0.5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-156)\/182)\/((-10)\/(-35)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*j**4*x + 62*j**3 + 19062*j**2*x - 673*j*x + 143*j - 3*x wrt j?\nAnswer: 60*j**2*x + 372*j + 38124*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 11*b + 20 = 0, -35*y + 4*b = -37*y - 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 50*p**5 + 512*p**4 + p**2 + 2*p + 8645.\nAnswer: 3000*p**2 + 12288*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kjkj when four letters picked without replacement from kjkkkkkjkk?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/7 - 18*t**2\/7 + 96*t\/7 - 104\/7.\nAnswer: -2*(t - 2)**2*(t + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 0.9. Let k = -1185.89 - -1186. Which is the closest to 1? (a) k (b) f (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21193 rounded to the nearest 1000?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -11.4 and -2.\nAnswer: -13.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.29494 rounded to one decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2303*m + 63. Let p(l) = -73*l + 2. Let f(a) = -2*i(a) + 63*p(a). Let y(v) = -8*v + 12. Give y(f(h)).\nAnswer: -56*h + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-382237629)\/(-3679) - (2\/7 - (-24)\/(-182)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/5)\/(c\/(c*c**(3\/7)*c)*c))\/(c*c**(3\/7)\/c*c**(-7\/4))*((c*c**(-3\/2)\/c*c)\/(c\/c**(5\/3)))\/((c**(-1)*c)\/c)**2 assuming c is positive.\nAnswer: c**(223\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*b + 56 + 394 = 0 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 439 + -374. Let b(n) = h*n**2 + n**3 + 0*n**3 - 132*n**2 - n + 9 + 68*n**2. Calculate b(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 5*q. Let d(c) be the second derivative of 3*c**4\/4 - 38*c. Give d(b(t)).\nAnswer: 225*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -30, -40, -50, -60?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m + 9. Let g be r(9). Let s(x) = x + 5. Let a be s(g). Solve q + a*d + 20 = 0, -2*q + q - 3*d - 14 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2149805 to the power of 1\/4, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 14 = -2*b + 31 - 7, 4*x = 3*b - 0*x - 22 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10 + ((-651)\/(-930))\/(18\/(-410)) and -19\/108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/128*(-10080)\/700.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 7*n + 6. Let r be a(-6). Is (r - 1)*(-188)\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g\/(g*g\/(g\/(g\/(g*g\/g**1)))))*(g**(3\/5)*g*g)\/g*g*g**4\/((g**(2\/11)\/g)\/g)*(((g**(-3\/2)*g)\/g)\/g*(g\/(g\/g**(-6)))\/g)**(7\/2) assuming g is positive.\nAnswer: g**(-5243\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in five quarters of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lssbsjsslbbjslsbsxb. Give prob of sequence ljj.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*x - 36*x + 87*x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 4:58 PM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6 times 565\nAnswer: 3390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**4 + 356*w**3 - 9896*w**2 + 87856*w - 242592.\nAnswer: -4*(w - 38)**2*(w - 7)*(w - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s + 5. Let c be j(0). Let n = 18 + -3. Suppose 0 = -4*t - t + n. Solve t*u + 12 = -c*i - 14, -2*u = 3*i + 16 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -12*n**2 + 1. Let r(b) be the second derivative of b**4\/2 + 661*b. Determine i(r(y)).\nAnswer: -432*y**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -455*q**2*z**3 - 3*q**2*z + 4*q*z - 13 wrt z.\nAnswer: -2730*q**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 671*m + 62 = 558*m - 164 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24634 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: Find the common denominator of -53\/3 and -70\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*i = -2. What is the derivative of 61*v**2 - i + 2*v**3 - 61*v**2 wrt v?\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/60*3*-20*(-13)\/(1144\/(-726)).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4382 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - 13*n**2 - 14*n - 104. What is b(-15)?\nAnswer: 556","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*z**2 + 2040*z - 4060 = 0. Calculate z.\nAnswer: 2, 406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/27*(16\/(-120))\/((-36)\/(-150)*-10)?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-9) + (-172)\/(-36). Suppose -2*v + j - 3 = 0. Solve 3*b + 2*r + 0 = -v, -5*b + 3 = r for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45957.6 centuries in months?\nAnswer: 55149120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s**2 - 99*s + 228. Calculate r(30).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 173 - (144 + 118 + -186).\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/7)*d)**(1\/7)*(d*(d\/(d**(-2\/3)\/d))\/d)**(-4\/11))\/(d**2\/d**(1\/3)*(d*d**(2\/3))\/d*d\/((d*d*d**(-2))\/d)*d) assuming d is positive.\nAnswer: d**(-10027\/1617)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 - -45. Let j = p + -2. Suppose 3*t - t - 3*b = 35, -5*b = 5*t - 25. What is the lowest common multiple of t and j?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 2*n = -116 + 112, 24 = -5*m + n for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8190358?\nAnswer: 2, 11, 372289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 2240000 to the nearest one hundred thousand.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + (26 - (-11 - -11)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 - 1)*(b + 3*b**3 - b) + 3*b**3 + b**3 - 3*b**3 + (2*b - 3*b**2 - 2*b)*(-138 + 125*b + 71 + 66) as p + u*b**2 + f*b + c*b**3 and give c.\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -509 or -1527?\nAnswer: -509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 12*f**2 - 23*f - 184. What is the thousands digit of s(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-12) + (2 - 6). Let q be ((-24)\/(-30))\/((-2)\/10) - d. Let n(a) = 2*a + 6. Let c(v) be the first derivative of -v + 7. Give q*n(k) - 3*c(k).\nAnswer: -2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(209) - 6*(sqrt(209) + (sqrt(209) - sqrt(209)*-3))))\/(-4*sqrt(1584)*-1).\nAnswer: 29*sqrt(19)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25215 by -205.\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -7*q. Suppose q = -3*v + 18 - 6. What are the prime factors of (6 - 4)\/(1\/v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-1 - -2) - 0 - -17?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.03, -1, 3, -0.054, -0.5?\nAnswer: -0.054","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/99)\/((-2)\/(-36))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 to the power of 1\/2, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 5*n + 12, -1 = 4*l - n - 0. What is the smallest common multiple of -2 - (3 - (-7)\/l) and 9 + (-1 - -1) + -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 6*h - h + q, 3*q - 27 = -3*h. Suppose -3*b - 2*r = -17, -2*b + h*b - 13 = 2*r. Suppose -b*x = -3*x - 146. What are the prime factors of x?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -75940*c*q**3 - 269976*c*q**2 + 10*c*q + c - 190*q**3 - q**2 - q + 2 wrt q.\nAnswer: -455640*c - 1140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (14 - -40) + (-1 - 6\/(-2)). Let l be (-12)\/(-30) + t\/10. What is the third derivative of -25*u**l - 53*u**4 + 53*u**4 + 26*u**2 wrt u?\nAnswer: -3000*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8649 - 8566. Calculate the remainder when 12033 is divided by s.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -y**7\/5040 - y**5\/15 + y**2. Let s(x) be the third derivative of r(x). Let b(o) = -4*o. Give 6*b(z) - 22*s(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16396801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 10:12 PM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1392)\/336 - 8\/(-56)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/(-192))\/((-2)\/(-16))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 179\/2722200 and 113\/20?\nAnswer: 2722200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*n + n. Let h(y) = -y**3 - 6*y**2 - 4*y + 3. Let j be h(n). Let v(w) = -3*w - 3. Give v(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208055?\nAnswer: 5, 41611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -4\/33543?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 23, 102, 233, 416, 651?\n\"Answer: 26*q**2 + q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 6?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 4:14 AM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/25)\/((9\/10)\/1)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -111, -161, -207, -249, -287, -321?\nAnswer: -351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1989 - -3?\nAnswer: -1986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.27? (a) 0.7 (b) -26 (c) 0.1 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xkzowmm. Give prob of sequence koz.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 6:15 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + (2*sqrt(275)*2 - sqrt(275)) - (sqrt(275) + 1 + -3))**2 - (((-1 + sqrt(1100))*-1)**2 + 3).\nAnswer: 80*sqrt(11) + 1375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -74 + 11 + (10 - (9 + 18)) + 9 + -5?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 455 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19825 and 15641681.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-51 - -40) + (6 - (3 - 5))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/7, -6, 1\/2, 0.02?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**5 + 46*j**4 - 2602*j**3 - 2646*j**2 = 0. Calculate j.\nAnswer: -49, -1, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 0 - (-2 - -1). Let b(o) = -5 + o**3 + 45*o**2 - 40*o**2 + o - 3*o**3 + o**3. Let m be b(5). Solve m = u - l - 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 20, 50, 86, 128?\nAnswer: 176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 7:14 AM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1227 >= 46643\/38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 22722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 15, p: 5}. What is prob of picking 2 d?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -159.28*0.1.\nAnswer: -15.928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*x = -13, 4*n - 5*x = 43 - 2. Let a be 121751\/(-10) + n + -10. Let s = -12188 - a. Calculate the common denominator of -18\/5 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5206 = 1712*s + 13626 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/18 + 152\/(-36). Sort u, -5, -1 in descending order.\nAnswer: -1, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 12) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1144341341.\nAnswer: 11, 13, 199, 40213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of 20*p - p**4 + 0*p**3 + 0 - 1\/5*p**5 + 0*p**2. Let m(i) = 0. Calculate i.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -u**5\/15 - u**4\/8 - u**3\/2 + u**2. Let l(c) = -2 - 18*c - 17*c - 3*c**2 + 44*c - 11*c. What is 3*l(i) - 2*w(i)?\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c**3 - 24*c**2 + 113*c + 768. Calculate u(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 421710 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-16)*(-6 + 8). Let z = -18.3 - -15. Let d = 0.7 - z. Which is the biggest value? (a) -2\/11 (b) d (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -67*k + 809. Let u be j(12). Let v(n) = 4*n - 5. Let m(h) = 8*h - 10. Calculate u*v(p) - 2*m(p).\nAnswer: 4*p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 r, 1 i, and 1 t when four letters picked without replacement from otozizoiroit.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (-59 + (23 - -15)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 27. Let o be (2725784\/l)\/(-8) + 4\/10. Suppose 0 = 2*f - 1231855 - o. Round f to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -91.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 7*o - 46. Suppose 6*q - 6 + 6 = 0. Suppose 13*z + o*z + 234 = q. Is z at most as big as -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5*y = -5, -y = 2*p - 12 - 1. Suppose -3*o = -p*a - 32, 5*a + 7 = -13. Suppose 4*s - 64 = -2*c + 2*s, -o*s - 52 = -2*c. Is c greater than 31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 190, 764, 1698, 2992, 4646, 6660?\n\"Answer: 180*f**2 + 34*f - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 4, -2144?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6312\/11 or 574?\nAnswer: 6312\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -13*j + 0*j**2 + 20*j + j**2 + 3. Let h be o(-7). Suppose -y - 3*w - w = -2004, -h*y + 5996 = -4*w. What is y rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 23926, 47877, 71828, 95779?\n\"Answer: 23951*r - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*d**3*o + 3515562*d**3 + 865*d*o - 959*d - 11*o wrt d?\nAnswer: 108*d*o + 21093372*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/200)\/(((-12219)\/630 + 4\/42)*-1)?\nAnswer: -2\/193","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -2\/27*g**3 + 0*g**2 + 0*g - 4. Find b, given that o(b) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1435.5 * 3.\nAnswer: 4306.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 29*d + 2 = 33*d, -2*d = -4*v + 14. Solve -v*h + 21 = -9 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 204110612 by -102055306.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 1. Suppose -4*s - r + 4 = -2*s, -5*r = 0. Suppose 5*t + s*h - 35 = v, 2*t - 2*h - 17 = 11. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -638, -5282, -17912, -42518, -83090, -143618?\n\"Answer: -665*r**3 - 3*r**2 + 20*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b**2 - 1362*b + 144480. What is l(169)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 64333935569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(2\/3))**8)**(-10))**(-1\/43) assuming k is positive.\nAnswer: k**(160\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-1\/5)*z**(-1\/6))\/(z\/(z**(-1)\/z))**20*(z**(3\/4)\/(z\/(z\/(z\/((z\/(z*(z*z**(3\/7))\/z))\/z)))))\/(z**(-2\/7)\/z**(-5)) assuming z is positive.\nAnswer: z**(-27619\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 10 = 0, -8*i - 14 = -2*y - 5*i for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/12 - ((-440)\/33)\/10. Sort -20, p, -5, -1 in descending order.\nAnswer: p, -1, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**1)**(-7)*v**(-6\/5)\/v**(-3\/7))**(-44) assuming v is positive.\nAnswer: v**(11968\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 638893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/31, 0, -6.\nAnswer: -6, -9\/31, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -8*s - 59. Let w be n(-7). Let m(v) = -8*v. Let u be m(w). What is the greatest common divisor of 192 and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 2 - 3 - 4*z + 3. Suppose -4*c + 41 = 81. Let x(g) = -3*g**2 - 32*g - 16. Let d be x(c). Give u(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1637132 divided by 1\nAnswer: -1637132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xzxxoxrzzfdd. Give prob of picking 1 x and 1 o.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 4*p**2 + p. Let r(h) = -13975*h. Determine r(u(f)).\nAnswer: -55900*f**2 - 13975*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5571121384?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, s: 2, k: 1, y: 1}. Give prob of picking 1 n and 1 s.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89268421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.2 + 292.8. Let a = -337 + q. Sort 2\/11, -3\/5, a, 0.4 in decreasing order.\nAnswer: 0.4, 2\/11, -3\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1333 is divided by 652?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11194 by 2.\nAnswer: 5597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -114645975 - 0?\nAnswer: -114645975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 4*h - 13. Let f be j(6). Let u(c) = 2*c**2 - 3*c + 20. Let r be u(8). Let v = f + r. List the prime factors of v.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 234\/65*(-5)\/2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2678*w + 2677. Calculate n(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5146 smaller than -81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**5\/15 - 6*f**4\/5 + 826*f**3\/15 + 590*f**2 + 6304*f\/15 - 1064 = 0. Calculate f.\nAnswer: -19, -10, -2, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52530 and 103.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(320\/(-8)))\/(1*-2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**4 - 4*h + 4*h + (2 + h - 2)*(h - h + 2*h**3) - 6*h**4 - h**4 + 3*h**4 + 5*h**4 + 0*h**4 - 2*h**4 + (2*h**2 - 3*h**2 - 8*h**2)*(3 - h**2 - 3).\nAnswer: 7*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 696672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -189 divided by -27.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5155 - -7689. Is b a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.08 + 3.28. Suppose 3*j - 11 = 4*w, -6*w + 2*w = -j + 9. What is the third smallest value in 2\/5, 5, j, c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/366 and 17\/20?\nAnswer: 3660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -412243431 (base 5) to base 3.\nAnswer: -10011102001120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) -0.5 (c) 5 (d) -7\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l\/l**(4\/3)*l\/l**(-16\/7) assuming l is positive.\nAnswer: l**(83\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of 7*q**5\/30 - q**4\/3 + 15*q**2. What is the second derivative of t(f) wrt f?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -53, -2, -1, 5, 1 in decreasing order.\nAnswer: 5, 4, 1, -1, -2, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -5.459?\nAnswer: -27.295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 106*a**2 - 106*a**2 + 23*a + 22*a**4 wrt a.\nAnswer: 264*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 3*j + 5. Suppose -587*v + 234 = -578*v. Suppose v = -2*f + 36. Give w(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21098?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - n = -4*n - 13, 3*o = -3*n - 21 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23 and 1046431?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(2448) + sqrt(2448)*-2 + 2)**2.\nAnswer: -240*sqrt(17) + 12260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1017349325?\nAnswer: 5, 40693973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3209340 to the nearest integer?\nAnswer: 1791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-13 - -4) + -43?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/20)\/(22\/330)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of -97*s**5\/30 + 59*s**4\/6 - 163*s**2. Find the second derivative of i(x) wrt x.\nAnswer: -388","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -858 (base 12) to base 5\nAnswer: -14340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7405.931 + 7411. Let g = -0.069 + h. What is the closest to 3\/4 in -0.5, 0.1, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 10 = g, -3*g - 8 = -t + 2*g. Suppose 16*s = -96, 99*b + s = 101*b - 348. Calculate the remainder when b is divided by 2*(-1)\/t*44.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4\/8 + 119*k**3\/4 - 13677*k**2\/8 - 14399*k\/2 - 14641\/2.\nAnswer: -(k - 121)**2*(k + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*g**4*i - 4*g**2*i + 91*i wrt g?\nAnswer: 36*g**3*i - 8*g*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 1, -1, 293110?\nAnswer: 293110","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -9*f - 2. Suppose -96*w + 603 = 122 - 95. Let l(m) = 90*m + 21. Calculate w*l(q) + 63*b(q).\nAnswer: -27*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-8))\/((-5)\/20). Suppose n - 3*c + 3 = -n, -k*n - 5 = -5*c. Sort n, 3, 4 in decreasing order.\nAnswer: 4, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -455 - -54490\nAnswer: 54035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + 2530*h - 531153. Calculate t(231).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 45442*s + 318093. Let p be y(-7). Let d be (-184)\/485 + 2\/5. Is p less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 52176, 52146, 52116, 52086?\n\"Answer: -30*v + 52206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27.031 - -2.031. Let n = -14 - -8. Let b = 5 + n. Is x less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*z - 26 = 5*k - 66*z, -2*z - 66 = 29*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 833, -35, -10, -2, -1 in ascending order.\nAnswer: -35, -10, -5, -2, -1, 833","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -121232?\nAnswer: -121227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**3 + 15. Is u(0) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 3.937\nAnswer: -0.7874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1370 and 1763875?\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -219.\nAnswer: -1095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -135466 - -4?\nAnswer: -135462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 19366*i - 19412. Give t(1).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**2 + 2458*x + 1228 = 0 for x.\nAnswer: -614, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 38 = 83. Let s(k) be the third derivative of 1\/24*k**4 + k**2 + 0 + 0*k + 5\/6*k**3. Determine s(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 5 - ((-2 - -3) + -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 2023 divide 2710049043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/7, -5, -2\/7, -109\/5, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 9:38 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-22)\/4)\/(-11)*-2. Let a be (n + 5 + 1 + -3)*2. Solve 2*d = -o - 1 - 4, -5 = a*d + 3*o for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 8*y - 30 = 0. Let w(f) = -f**2 + 9*f - 2. Let c(d) = -d**2 + 10*d - 2. Let l(x) = 4*c(x) - 5*w(x). Does 3 divide l(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/3 + (-48)\/126. Sort 2\/9, 3, i.\nAnswer: 2\/9, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - -268307.071643.\nAnswer: 268307.571643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(208) + (sqrt(156) - (sqrt(156) + (6*sqrt(156) - sqrt(156)) - sqrt(156) - sqrt(156) - sqrt(156)))\/sqrt(12).\nAnswer: -18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 4:59 PM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 7023*k**2 - 13*k + 160. Let t be x(11). What is t rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 90649 and 500?\nAnswer: 45324500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - (-4 - 3) - -4) + -87 + 158?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 2, 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 5) to base 11.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*d**2 + d**4 + d**3 - 6 + 18*d**2 + 0*d**3 + 0*d**3 + 2*d**4 + d**4 + 2*d**4 - d**4 + (1 - 2 + 2)*(d**4 + 4*d**4 - 3*d**4).\nAnswer: 7*d**4 + d**3 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -12*o**5\/5 - 99*o**4\/5 + 252*o**3\/5 + 429*o**2\/5 + 18*o = 0.\nAnswer: -10, -1, -1\/4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3074?\nAnswer: 2, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*(-5 - -4) - 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2 - 1, -2*l = -5*x - 6. Suppose 5*i - 5*t - 50 = 0, 2*i - 25 = 3*t - 2*t. Let c be (i\/110)\/(1\/(-4)). Is c >= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -130 + 11141332121?\nAnswer: 11141331441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 3*l - 5 = 17, 13 = -2*y + 3*l. What is the tens digit of 6 + y - (-17 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 113, 381, 811, 1415, 2205, 3193?\n\"Answer: 2*r**3 + 69*r**2 + 47*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -4\/47387107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(126)*3 - (sqrt(686) + ((sqrt(686) - sqrt(686)*-2) + sqrt(686) - sqrt(686))))\/(1*(sqrt(77)*-1)\/sqrt(11)))**2*5.\nAnswer: 3608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 99620020?\nAnswer: -199240040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 12:29 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 5:06 AM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 2:49 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*a*x - 860177*a + 449999242*x wrt a.\nAnswer: 16*x - 860177","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c\/(c*c*c\/(c*(c*(c\/c**(-7\/4))\/c)\/c))*c)*c\/(c**(2\/93)\/c)*(c\/(c*c**(-4))*c*c)\/c**(3\/8) assuming c is positive.\nAnswer: c**(5099\/744)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h - 12. Let t be q(13). Let p = t - -18. Calculate the remainder when 55 is divided by p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-126)\/(-4))\/9*96\/112.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 33?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*z + 224 = 250 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 47587137?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6588 and 3411.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5638 - 305509*w + 224*w**3 - 236038 - 147*w**3 + 867*w**3 - 4*w**4 + 78949*w - 53776*w**2 = 0. Calculate w.\nAnswer: -2, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 1802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 1:15 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -38 (c) 23.64 (d) -6 (e) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2660.33 + 2649. Let n = -0.47 + m. Let v = 12 + n. Put -0.4, 4\/5, v in increasing order.\nAnswer: -0.4, v, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 251 + 4?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 90 = -3*n, -n - 2*n + 140 = 5*a. Let w be (-13)\/(-4 + -1 + 4). Let v = a - w. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1682 - 124196774.\nAnswer: -124195092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a week in minutes?\nAnswer: 27720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -44.\nAnswer: -44, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1251050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 302216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 2*s**2 + 2*s - 2. Let t(f) = 590*f**2 + 590*f - 590. What is -1180*b(w) + 4*t(w)?\nAnswer: 1180*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19.715 at least 650\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -201*r**2 - r**4 + 1 + 204*r**2 - 3*r**3 - 2 to the form i*r**2 + y + j*r**3 + f*r**4 + c*r and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/4 + (-82)\/(-8). Suppose 75 = -3*q - r, 0 = 4*r - r. Let u = l - q. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/838 and -81\/37282.\nAnswer: 15621158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of 5*n**3\/2 + 40*n. Let i(p) = 2*p. Let b(x) = -2*x. Let l(r) = -3*b(r) - 2*i(r). Give j(l(f)).\nAnswer: 30*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.04 - -0.24. Let f be (-4)\/12 - 11\/(-15). Let w = -161.07 - -165.07. What is the smallest value in f, w, k, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1761 divided by -33844.\nAnswer: -1761\/33844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(2*sqrt(5)) + (-3 + sqrt(8)*1)**2 + sqrt(24)\/(sqrt(243) + sqrt(243)*-1 - sqrt(243)).\nAnswer: -101*sqrt(2)\/9 + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2065?\nAnswer: 5, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 942 - 260. Let i = 685.23 - p. What is i rounded to one decimal place?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 6*x. Let l(r) = 3*r. Let k(u) = -3*u - 2. Let b(d) = 10*d + 7. Let s(i) = -6*b(i) - 21*k(i). Let o(a) = 5*l(a) - 4*s(a). What is j(o(q))?\nAnswer: 18*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - f - 4*f - 4, -5*w + 20 = -2*f. Solve -a - a = w for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-1*6\/18).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 420.\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5782 and 590?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6, -752, -3314, -8772, -18206?\n\"Answer: -180*o**3 + 172*o**2 - 2*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 - 284?\nAnswer: -28a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 48629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(2\/5))\/(f\/(f\/(f\/(f\/f**3)*f)))*f**(-2)\/((f*f\/f**(-40)*f)\/f))**(1\/19) assuming f is positive.\nAnswer: f**(-237\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16271*z + 16273*z = 36 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9 (b) 0.4 (c) 13 (d) 0.1 (e) 2\/17 (f) 0.5 (g) -0.36\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 2*o + 10. Suppose -10 = 3*p + 2, -d - 5*p - 13 = 0. Let m be l(d). Is m not equal to -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 469*k - 191*k - 577232 = -572228 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 - (-6 + (-12)\/(-3)). Suppose d*a - 6*a = 117000000. What is a rounded to the nearest 1000000?\nAnswer: 39000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 - 7027911*m + 14055827*m - 4*m**2 - 7027916*m.\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44 - 39. Suppose b = -s - 0*b + 137, -g*b + 153 = s. Let w = -78 + s. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5*j - 2998 = 0, 9*t + 15*j = 18*j + 27066. Is t a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/2 (b) -5 (c) 5 (d) -3 (e) -2\/35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/7 (b) 5\/3 (c) 4 (d) -6\/13 (e) 0.149\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1644\/17 less than -96?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -111201012021 (base 3) to base 15\nAnswer: -54e67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.059, -0.5, 2\/75, 0, -8?\nAnswer: 0.059","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*r**2 - 2*r**2 + 8*r**2 - 3*r**3 to the form f*r + x*r**2 + k + m*r**3 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/9 + (-2)\/(-9). Let h(n) = x - 1 + 0 - n. Let v(g) = -16*g + 455. Let k(c) = 6*c - 190. Let t(p) = 12*k(p) + 5*v(p). Give -6*h(f) + t(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 19*p - 23. Let z be c(-13). Suppose -z*u + 49*u = 0. Find i, given that u - 4\/7*i**5 + 4\/7*i**2 + 0*i + 4\/7*i**3 - 4\/7*i**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 2:35 PM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -18. Let f = 0.002 + 8.998. Let q = l - f. Sort q, 4, 0.1 in ascending order.\nAnswer: 0.1, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 517139?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 77.17 + -1.17. Let f = l - 72.9. Let c = 3.09999987 - f. Round c to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 - 19. Suppose -13 = -s*n + 307. What is the units digit of (-95)\/2*(-48)\/n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 3*k + 2*k)*(-3 + 8 + 7)*(0*k**4 - 5*k**4 + 4*k**4).\nAnswer: -36*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1)**32\/(h**0)**(7\/3)*h**(2\/11)*h**(-3\/5)*(h*h\/(h*h**(-2\/7)))\/(h\/((h*(h\/(h\/h**4))\/h)\/h*h*h)*h) assuming h is positive.\nAnswer: h**(13809\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -4198.\nAnswer: 16792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37543*g**2 + 59 - 59.\nAnswer: -37543*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-42))\/((-15)\/70)*(-108)\/(-24)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -8 (c) 15 (d) 2\/5 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p**2 - 5*p**2 - 9*p**2 + (0 + 0 + 2*p)*((3 + 4 - 6)*(4*p + 2*p - 4*p) + 2*p + 2*p - 2*p - p + 2*p + p + 3*p - p - p).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 145 = -0*s + 5*v, 15 = -5*v. What is the greatest common divisor of 52 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-10) - (-152)\/20. Let f = 70911 - 70907. Solve 3*w - i = c + 2*w, -3*c + f*w - 29 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 8*d + 1)*(5*d**2 - 47 + 25 + 19).\nAnswer: -40*d**3 + 24*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, n: 5, l: 7, x: 1}. What is prob of sequence nxle?\nAnswer: 1\/416","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/14 + 73\/42. Let z(m) be the second derivative of 0 - 2\/5*m**5 - w*m**3 + 0*m**2 + 0*m**4 + 6*m. What is the second derivative of z(i) wrt i?\nAnswer: -48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 480608 - 27.3\nAnswer: 480580.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/2 of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-7\/5))**8 assuming i is positive.\nAnswer: i**(-56\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + -3. What is the nearest to -0.1 in r, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of a**7\/42 - 5*a**3\/6 - 5*a + 1. Let o(k) be the first derivative of d(k). What is the second derivative of o(r) wrt r?\nAnswer: 20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3390 is divided by 173?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h - 15. Let p(t) = -t. What is m(p(k))?\nAnswer: -4*k - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4, -7, -26, -53, -88, -131, -182?\n\"Answer: -4*u**2 + u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.028 and 13.6.\nAnswer: 0.3808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 40\/10731?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -661 + 659. Let x(g) = -g - 3. Let o be x(-2). Let p = -0.1 + 0. Which is the nearest to p? (a) f (b) 3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a + 3*b - 12 = 4*a, a = 3*b + 16. Suppose -a*w - 28 = -8*w. Let x = w + -17. Is x a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (31 - (-2475)\/(-90))*((-11)\/(-7) + -1). Suppose s - 7 = -b, -3*s - 5*b + 25 = -b. Put x, -5, s, -6 in decreasing order.\nAnswer: s, x, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3022 - 500?\nAnswer: 2222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 183 (base 10) to base 14.\nAnswer: d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -9259 greater than 20329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -931014 greater than or equal to -931018?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 20105.613 to the nearest ten.\nAnswer: 20110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 0.149700574.\nAnswer: -0.0449101722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7406145 is divided by 38?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4329667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (-31 - (-47 - -13))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.0209 + -1.4109. What is the second biggest value in d, 3, 1, 201?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, -12910, -1551?\nAnswer: -1551","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - 6) + 3 - (5 + 1 - -1).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a year in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 994*l**2 + 353*l**2 - 414*l**3 + 20*l**5 + 418*l**3 wrt l?\nAnswer: 1200*l**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 36333064 divided by 8.\nAnswer: 4541633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 31, -2, 631 in descending order.\nAnswer: 631, 31, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g + i = 10*g + 4, 30 = 5*g - 3*i. Let v(u) = -u**3 + 2*u**2 + 10. Let j be v(g). Which is the nearest to 0? (a) -3 (b) j (c) -1\/2 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9991*-0.1\nAnswer: 999.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 8 = 4*o, 34*o = 31*o + b + 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5327179 and 77?\nAnswer: 37290253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.19544 greater than or equal to -1255?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*d - d. Let y be d*(-3 - 0)\/3. Let r = y + 20. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 94 * 6.\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -51450 divided by 7\nAnswer: -7350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 8. Let a(r) = -27*r - 2. Let j be a(s). Is j < 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**3 + 2*n**2 - n + 4. Let d(v) = -4*v**3 + 5*v**2 - 2*v + 9. Let o be -3 + 288 - (-4 + (-5 - -9)). Let q = -281 + o. What is q*d(w) - 9*a(w)?\nAnswer: 2*w**3 + 2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96966.29 weeks to microseconds.\nAnswer: 58645212192000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1853059.\nAnswer: 13, 142543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1125.1 - -3741.1\nAnswer: 2616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -15.4. Let i = m - -0.6. Let q(j) = -4*j**2 - 28*j + 4. Let d be q(-7). What is the closest to i in -4, d, -2\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -32, -56, -98, -164, -260, -392?\n\"Answer: -q**3 - 3*q**2 - 8*q - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3 + 4*(5 + -5*(sqrt(153) + (-1*sqrt(153))**2)).\nAnswer: -3035 - 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -2. Suppose 0*x + b*x - 2*m = 216, x + 2*m - 36 = 0. Is x a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-70)\/28*1\/(-5)*0. Suppose w - 4*w = -12. Solve -5*x = l + 11 + 9, -3*l + w*x + 16 = g for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 - 17 = 19*g. Suppose -25 + 10 = -5*k, 3*q - g*k = 0. Solve 3*f + f = 4*z - 32, -11 = 3*z + q*f for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 534114780 to the nearest 1000000.\nAnswer: 534000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 143 - 144. Let y be (-2)\/(-8) - 4\/16. Suppose 18*o - 1 = 17*o. Sort s, 4, o, y in ascending order.\nAnswer: s, y, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pggg when four letters picked without replacement from {g: 5, u: 3, a: 2, k: 1, p: 1}?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 4:41 PM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/1089 and 83\/5445.\nAnswer: 5445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b1 (base 13) to base 9.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**2 + g**2 - 5*g**2 + (-9 + 9 - 2*g**2)*(-3 - 2 + 4) + 0*g + 3*g**2 + 0*g.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2937*q**2 + 12*q + 14. What is the tens digit of g(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2505?\nAnswer: 3, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41 + 80. Let k = -391\/10 + m. Are k and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/4038113 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112382940 is divided by 5619147.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2117, 2200, 2281, 2360, 2437, 2512, 2585?\n\"Answer: -c**2 + 86*c + 2032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.1824 - -0.1824. What is the second biggest value in -2\/11, 1\/7, -4, i?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jy when two letters picked without replacement from jjyyyjyy?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 7) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*o + 3*j, -2*j + 5 = -2*o + 3*j. Solve o*h = -15, -h = p - 3 + 1 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**2 - 27*q + 79. Let h be u(-16). Let l(y) = 1. Let o(d) = 11*d + 1 - 10 - 4*d. Let t(a) = h*o(a) - 5*l(a). Differentiate t(m) wrt m.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = -3*z + z - 3*w, 0 = 4*w. Let h = z + 442\/7. Let o = -25.1 - -23.1. What is the nearest to o in h, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/11)*v\/(v\/(v*v*v\/(v\/v**(-6)))*v))\/((v*(v**(2\/3)\/v)\/v)\/v*(v\/(v*v\/v**(-1\/13)*v))\/v) assuming v is positive.\nAnswer: v**(-175\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a kilogram in grams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-53 - 45 - 55 + 198 + 3806*x - 45)*(13*x - 4*x + 10*x) as s*x**2 + z + k*x and give s.\nAnswer: 72314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 38352 and 38337 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4*d**2 - 2 + 2 - 19*d + 18*d. Let c(q) = 3*q - 4*q - q. Calculate h(c(j)).\nAnswer: 16*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + o - 6*o - 36 = 0, 65 = 5*k - 10*o for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 2*d + 7*d. Suppose 5*z = -3*v + 211, 0 = -4*v - d*z - 0*z + 263. What is the tens digit of (0 - -3) + -1 + v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10)\/(-4))\/((-14)\/(-252)). Let b = z + -79. Let d = 37 + b. Solve d*a - 2*g - 5 = 0, 1 - 2 = -3*a + g for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, h: 1, a: 3, c: 2, p: 2, r: 3}. What is prob of picking 1 u and 1 p?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/1 - -3) + 0. Solve 5*p = -4*o + o, 0 = -2*p + v for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 2:17 AM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -4*f**4 + 1364*f**3 - 1296*f**2 - 21824*f + 21760 = 0.\nAnswer: -4, 1, 4, 340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17 * -930.\nAnswer: -15810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -756, -2447, -6006, -12363, -22448?\nAnswer: -37191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from ccdcicciiidiiii.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/18*-12 + 3. What is the second smallest value in 0.01, -4, -0.01, u?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + -31 - (-7 - -10 - -2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 3)*(5 - 5 + 2*a + (-3 - 2 + 4)*(2 - a - 2) - a + 2 - 2 - 5*a + 5*a + a).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/19))**(-1\/37))**(-3\/32) assuming y is positive.\nAnswer: y**(-3\/11248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3970258.\nAnswer: 2, 167, 11887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 579000, 579065, 579130, 579195?\n\"Answer: 65*h + 578935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(304) - (-4 + (-3*sqrt(304))**2) - ((sqrt(304) + sqrt(304) + -4)*-6)**2.\nAnswer: -47084 + 2308*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 3*q + 21, 0 = 3*c + 2*q - 31 - 13. Let u(f) = -f**3 - 5*f**2 - 28. Calculate the smallest common multiple of u(-6) and c.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -488, -503, -518, -533?\n\"Answer: -15*w - 473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/7 + 552*i\/7 - 554\/7.\nAnswer: 2*(i - 1)*(i + 277)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 3361?\nAnswer: -3365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6597407455 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3219016?\nAnswer: 2, 211, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-6\/13)*a**(-12) assuming a is positive.\nAnswer: a**(-162\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (190\/570)\/(14\/(-21)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -7*y**3 + 4*y**2 + 4*y - 4. Let h(k) = -15*k**3 + 9*k**2 + 9*k - 9. Suppose 2*d = 2*p, 0*p - 2*p = -8. Give d*h(b) - 9*w(b).\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 406 - 418 = -4*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 234431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 7, 3*t - 171 = -8*a + 5*a. Calculate the remainder when 256 is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2156\/140 - ((-8)\/10)\/(-2). Let h be 88\/275*a\/2. Factor -3\/5*f**2 - h*f - 12\/5.\nAnswer: -3*(f + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dwxr when four letters picked without replacement from {x: 1, q: 1, d: 7, w: 3, r: 2, m: 3}?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 45*u + 380. What is d(-10)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**11\/n**(-1\/44)*(n**3\/n)**28 assuming n is positive.\nAnswer: n**(2949\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14465*x**2 + 15681 wrt x.\nAnswer: 28930*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 367711337*f - f**2 - 183855671*f - 183855666*f.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.01 + 2.01. Let q = o + -7. Which is the closest to 0.1? (a) -4 (b) q (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 5*r + 4*s, -r + 2 = -3*r + 4*s for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 2*f = 0, -f + 24 = -26*j - 48 + 24 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -4*u**7\/21 + u**3\/6 + 6*u. What is the second derivative of p(c) wrt c?\nAnswer: -160*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/15 at least as big as -195?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - j + 21 = 3*k, -3*j + 5*k = 11. Solve -8 = -y - j*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1964 + -1968. What is the closest to 0.1 in -29, h, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -t**4\/4 + t**2 + t + 6. Let l be i(-2). Factor -2*m**4 + 0*m**2 + 0*m + 1\/2*m**3 + 0 + 3\/2*m**l.\nAnswer: m**3*(m - 1)*(3*m - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 595220253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 2*i**2. Let m(a) = -320*a**3 + 10*a**2 - 64*a - 1. Let r(d) = -m(d) - 5*x(d). Find the second derivative of r(y) wrt y.\nAnswer: 1890*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 28*s + 660 = 0. Calculate the smallest common multiple of s and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85944*i - 118702*i - 136900*i - 13366*i.\nAnswer: -183024*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of 24*v**5 + v**4\/2 - 243*v**3 + 38. Find the third derivative of d(r) wrt r.\nAnswer: 2880*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 12 + 21 = 0. Suppose -3 = y*s - 21. What is the greatest common factor of s and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 33.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) -11 (c) 81\/5 (d) -4 (e) 2 (f) -153 (g) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*q - 3*f, -2*q + 2 = -5*f - 10. Suppose 0 = -2*m + 5 - q. What is a in -a + 2*a**2 - a**2 - a**2 + a**2 - m = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 64915 + -21089. Let q = 43867.938 - y. Let l = q - 42. Round l to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m - 72*m - 59*m + 2625 = 0 for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -148272 - -209713. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.05 - 1.95. Let i = -422577\/40 - -10575. Let w = 51\/5 - i. Sort -2\/5, t, w in descending order.\nAnswer: w, -2\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 53 - (15 - (-1630)\/(-110))*(-8)\/(24\/(-33))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, x: 7}. Give prob of picking 3 x.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x - 3 + 33. Suppose -x*d = -0*d + 3*v - 10, 3*v = 0. Suppose 2 = -d*j + 6. Which is the closest to j? (a) 3\/5 (b) 1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**3 - 4*p**2 - p + 2. Let z(m) = -6*m**3 + 11*m**2 + 3*m - 6. Suppose 452*f + 2204 + 960 = 0. What is f*j(x) - 2*z(x)?\nAnswer: -2*x**3 + 6*x**2 + x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 m when four letters picked without replacement from mmgcgggemmm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 103211729 + -53268378. Let d = 49943417.999969 - r. Let h = d - 67. Round h to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -8*c. Let r(g) be the first derivative of g**4\/8 - 22*g**2 - 91. Let b(t) be the second derivative of r(t). Calculate b(w(q)).\nAnswer: -24*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57.72937 millimeters to micrometers.\nAnswer: 57729.37","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 17*d**2 - 328*d - 29339. What is p(-33)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0, 27 in descending order.\nAnswer: 27, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 510 + -400. What is the least common multiple of q and 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 130 - (135 - (109 - 18))\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i + 4. What is q(17)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84, 75, 66?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 14*i - 24. Let k be u(16). Suppose -4*x + 5*v = k*v - 8, -3*v = -5*x + 10. Solve -x*f - 4 = -0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/(-10))\/(3\/105). Suppose 0 = -4*w + 22 + a. What is the least common multiple of w and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343 is divided by 262.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 19*j**2 - 118*j + 74. Give t(-24).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2430592775.\nAnswer: 5, 13, 101, 74047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -93303, -186588, -279873, -373158, -466443, -559728?\n\"Answer: -93285*c - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 199268 and 9322207.\nAnswer: 1607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-5) + (-6)\/(-15). Determine w so that 3*w**5 - 5*w**3 - 3*w**4 - w**3 - 3 + 3*w + w**o + 5*w**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 5*u - 11. Let q be v(2). Let p(j) = -271*j + 23. What is the tens digit of p(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/21 (b) 1\/10 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**5 - 20*f**4 - 37*f**3 - 38*f**2 - 16*f. Let x(n) = -21*n**4 - 36*n**3 - 39*n**2 - 18*n. Let b(u) = 3*l(u) - 2*x(u). Solve b(p) = 0 for p.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from edclczezi. Give prob of sequence led.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -1. Suppose 0 = 3*y - 37 - 23. Suppose y - 80 = -5*b. Solve b = -s*z - z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 5. Suppose h + 3*k = -2*k - 15, -2*h + 4*k = -12. Let d be 1*h\/(2 + j). Solve d = 2*v + 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 5:47 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2685.\nAnswer: 3, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of 9\/2*h**2 + 0 - 3\/4*h**4 + 5\/6*h**3 - 26*h. Let a(g) = 4*g**2 - 2*g - 4. Determine 7*a(p) + 3*b(p).\nAnswer: p**2 + p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.72 + -0.822. Let s = 0.018 - n. What is s rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 478?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/25719 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in -56, 2, 5, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, o: 1, r: 4, i: 1, g: 7, f: 2}. What is prob of sequence iff?\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 6*p**2 - 6*p + 5. Suppose 18 = -3*g - 5*u - 6, 0 = 4*u. What are the prime factors of t(g)?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 653330, 2613202, 5879654, 10452686, 16332298, 23518490, 32011262?\nAnswer: 41810614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-320)\/(-180) - 2\/(-9). Suppose -w*z + 209 + 437 = -2*q, 5*z = 3*q + 1623. Suppose z - 120 = 3*u. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 37 and 296.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 280 (b) -1 (c) 4 (d) 1\/1920\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -1 + p + 0 + 0. Let h be 2\/(-4)*(-5 - -5). Give y(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110011010010 - 101?\nAnswer: 110011001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*k + 11*k + 7*k + 29*k to o*k + r and give o.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 6*t + 5. Let p(q) = -q**2 - q + 6. Let s be p(0). Determine z(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/7 (b) 0.3 (c) -2\/15 (d) 0.135\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (39086 - (-16 + 9)) + 4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/4812 and 131\/433080.\nAnswer: 433080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 885 and 14724630?\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1160*l = 1158*l + 4*i + 496850, -2*l = 4*i - 496898. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 + 5)*1*1\/(-71). Is c at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 141796?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 13 - 31 = -3*z, 5*l + 35 = 0. Solve 1 = z*p - 33 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100330110221 + 11?\nAnswer: 100330110232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 308 and 32438.\nAnswer: 713636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = -l + 3*l - 2*k, -2*l - k + 84 = 0. Let c be (-1)\/(0 + 2\/(-30)). Suppose c + l = 4*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 211584 and 7296.\nAnswer: 211584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -0.3, 39.91, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 7 = -2*b - g, 4*g = -3*b + 25. Let x(q) = 6*q**3 - 4*q - 5*q**3 + b*q**2 + 5*q. Calculate x(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -17, -10, 1, 11\/27, -0.3 in decreasing order.\nAnswer: 1, 11\/27, -0.3, -4, -10, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, f: 6, k: 4, n: 2, d: 3}. Give prob of picking 3 d.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 3*w + 7 = 0, -4*z + w + 8 - 9 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6216192 = 403*v - 99*v. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1467*a**4 + a**3 - 408*a**2 - 5393381 wrt a?\nAnswer: 5868*a**3 + 3*a**2 - 816*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 72263660 to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25506 divided by 6.\nAnswer: 4251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p - 1803 - 1838 = 0. Let a = -318 - p. What is the greatest common divisor of 299 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1064, -4259, -9576, -17009, -26552, -38199?\nAnswer: -51944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 6*l**2 - 2*l. Let d = -2 + 7. Suppose -5*c + d*g - 40 = 0, -6 = -5*g + 2*g. Let h be n(c). Solve a = -2*a + h for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 + -23. Suppose -6*p + z*p = 30. Factor 5*y**3 - 15*y**5 + 70*y**5 + 45*y**4 - p*y**3.\nAnswer: 5*y**3*(y + 1)*(11*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-34 + 0 - (133 + -130) - (0 - 4)) + 7\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2117480871.\nAnswer: 3, 11, 733, 87539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 462442 and 1062.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2191 is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93589 is divided by 57?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6949 + 11685. Suppose -4*o = 2*d - b, d = -3*o - d + 13975. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*l + 127*l - 4189 + 13576 for l.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of p**5\/50 - 36*p**3\/5 - 432*p**2\/5 + 8*p + 36. Factor h(x).\nAnswer: 2*(x - 12)*(x + 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -17, -6, 9, 28?\n\"Answer: 2*o**2 + 5*o - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0*s)\/s)\/s*s*s\/s**(3\/2)*s*s**(-1)*s**(-2\/3)*(s**1*s*s*s)\/(s**(-1\/3)*s*s)*(((s*s\/(s*s**(3\/4)*s)*s*s)\/s)\/s*s)\/(s*s**3) assuming s is positive.\nAnswer: s**(-31\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56996882 to the nearest integer?\nAnswer: 7550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 453*w**2 - 6862*w - 2175*w**2 + 1946*w**3 - 6865*w + 13727*w wrt w?\nAnswer: 11676","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 5*x - 8. Put 1, -4, x in ascending order.\nAnswer: -4, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t + 3*t**3 + 2*t - 20.\nAnswer: 3*t**3 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand u + 0 + 0 + (-10 + 1 - 8)*(4*u - u + 0*u) + u - 5 + 5 + 0*u - 2*u + 4*u - 3*u + 2*u - u + (-2*u - 3*u + 3*u)*(-4 - 3 + 5) + u + u - u - u + 3*u + 0*u.\nAnswer: -42*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-10) + 0 - 2368\/(-1480). Solve 0 = -591*b + 590*b - y for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 8*k**2 + 10*k - 9. Let y be q(9). Suppose -81 = -j + 4*m, 2*j - m - 120 - 56 = y. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 4*r - 5 = 0, 2*r + 11 = -8*d + 5*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that o**3\/3 + 3097*o**2\/3 + 476320*o\/3 + 6265600 = 0.\nAnswer: -2937, -80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 12 = 2. Let y(k) = 18*k + 261. Let n be y(-15). Let b be (-10)\/15 - (12\/n)\/g. Solve b*a - 20 = 5*a, 24 = 5*v - a for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1075 = 10*w + 6*w + 18*w + 4577 for w.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30 + -312?\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -4*q**2 - 468109688*q - 13695417499966084 = 0.\nAnswer: -58513711","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4*t = -44, 2*t - 9 - 6 = u. Let o = 7 + u. Suppose o*i + 5*h = -4*i + 676, 507 = 3*i + h. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (2 + -1 + 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 6808911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 10 = 22, -t + 2009 = 2*s. Let f = s + -888. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12001*k + 18096*k - 6095*k + 23*k**2.\nAnswer: 23*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -1300*a**3\/3 - a. Suppose u - 1 = d, 6*u = u + 4*d. Let w be b(u). Round w to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 6*t**2. Suppose 0*f = f + 5*q + 4, -f - 3*q - 4 = 0. Let d(h) = h + 5. Let z be d(f). Is 3 a factor of s(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 + 3*g**3 - 24)*(-2 + 1 - 6).\nAnswer: -21*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*t**4 + 3*t - t**3 - 9*t**4 - 2 + 5*t**4 in the form s + r*t**3 + m*t + z*t**4 + j*t**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h + 15. Let f be r(-13). Solve -f*l + 5 = 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 + 25. Suppose -z = 2, -3*p - m*z - 6 = -2*p. Suppose 3*h + p*h = 4*r + 123, 0 = h - r - 25. What is the remainder when 112 is divided by h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*b**2*c**2 - 1397*b**2 + 5*b*c**2 - 762*b + 43515*c**2 + 2*c wrt c.\nAnswer: 36*b**2 + 10*b + 87030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1188011224?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 6:01 AM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/5 + 4813*z\/5 + 816228\/5.\nAnswer: -(z - 4977)*(z + 164)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2796*q**2 + 1818*q.\nAnswer: 5592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/6)\/1*-3. Suppose 5*q + 185 = -10. Let o = u - q. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -2*n + 2, -d = -3*n - 12 - 10. Let j be n\/42*4\/3. Let h = 5 - 4. Which is the closest to h? (a) 2\/5 (b) j (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -1486761.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13776209052623 - -0.1.\nAnswer: -13776209052622.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*4*sqrt(5) - sqrt(5) - -6*sqrt(5)*5)**2*-2.\nAnswer: -2890","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -9*u**5 + 141*u**4 + 7992*u**3 - 152700*u**2 + 98208*u = 0.\nAnswer: -31, 0, 2\/3, 22, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**16\/j*j)*j**(-16)*j)\/(j\/(j\/((j\/((j*j**(-3\/7)\/j)\/j)*j)\/j*j)))**(34\/3))**(-3\/28) assuming j is positive.\nAnswer: j**(723\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2290\/614283 or -1?\nAnswer: -2290\/614283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 - (36 + -16) - (6 + 5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3*t**3 + t. Let p be l(-1). Let b(m) = -p*m**2 - 2*m + m**2 - 6*m. What is the units digit of b(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-6) - (8160\/(-45))\/(-34) - -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 + (-2)\/(-1))\/((-6)\/(-56)). Let n = m + 145. What is the remainder when n is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/201437275 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of 29*s**5\/10 + 5*s**4\/12 - 39*s**2 - 749*s. What is the third derivative of x(q) wrt q?\nAnswer: 348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10686, 43092, 97212, 173046, 270594?\n\"Answer: 10857*f**2 - 165*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30 + 310?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 3*h**2 - 3*h + 1. Let c be t(-3). Solve -4*s + 2 = c for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 9) to base 15\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 (base 4) in base 8?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*n - 53*n + b = 4, 23*n + 16 = 4*b for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 26 = -5*r, -3*v - 77 - 21 = -5*r. Let k = -9 - v. Suppose -4*i = -2*h + 3*h + 4, 4*h - k = 3*i. Solve -h*j + j = 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3834249 or 3834250?\nAnswer: 3834249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 126 and 80332.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-6)*612\/714?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.028292 rounded to four dps?\nAnswer: -0.0283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -1 + -2 - (-33 + (17 - (-3 + -8))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jsjscsccsssjjsc. What is prob of sequence scj?\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 8) to base 7\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30882175 to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 15521 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*q**5 + 525*q**4 + 290*q**3 - 470*q**2 - 335*q - 55 = 0.\nAnswer: -11, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**3 + 0*w**3 - w**3)*(2 + 4 - 4) - 2*w**3 + 0*w**3 + w**3 - 2*w - w**3 + 2*w + (4 - 1 - 5)*(w**3 + 5*w**3 - w**3).\nAnswer: -10*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 344\/(-84) + 13 + (-17 - (-24)\/3)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 7*n**3 - 4 + 5*n**3.\nAnswer: -2*n**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, e: 4}. Give prob of picking 1 p and 2 e.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4078*l**2 - 2247*l**2 + 2783*l**2 + 998*l**2 to a*l + b*l**2 + w and give b.\nAnswer: 5612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in years?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26735\/6 - -4437. Find the common denominator of -73\/90 and d.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of 0*s**2 - 3\/2*s**3 - 5\/12*s**4 + 3*s + 0. Let v(t) = t + t**2 - 2*t + 3*t. Determine 2*b(j) + 9*v(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 3*q - 1, -5*n = -4*n + 5*q + 13. Let h(b) = -8 + 0 - 7*b + b + b**2 + 0*b**n. Let f(p) = 8*p**2 - 2*p + 1. Let x be f(1). Determine h(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4922 - 44351\/9. What is the common denominator of -45\/41 and r?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 1, 4, 0 in increasing order.\nAnswer: 0, 1, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/((-3213)\/56))\/((-1260)\/(-567)).\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 285.\nAnswer: -1\/285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 8*m**2 - 169*m - 4292. Give d(-15).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9148 - -9203. Let f(p) = -2*p + 2*p**3 - 6*p + 4*p**2 + p**3 - 1 + 6*p. Let w be f(3). What is the greatest common factor of w and b?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 159442 and 406?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267*d - 74 = 273*d + 22 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 300, 309, 318, 327?\nAnswer: 336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 42, 86, 130, 174, 218, 262?\n\"Answer: 44*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 121 + -5?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 7*q**2 + 4. Let o be b(-7). Let k(x) = 6*x + 15. Calculate the smallest common multiple of 5 and k(o).\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -693592 and -693597 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -5*q - 4. Let w be b(-1). Let k be (-4 + -2)\/(1 - w - 1). What is the units digit of -2 - 2*((-321)\/k + 3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-300)\/(-36) + (-58)\/(-87).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*-1)\/((-136)\/(-816)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/2*176\/6. Let w = 47 - a. Suppose -5*i + w*k = -46, -3 + 21 = 3*i + 3*k. Calculate the lowest common multiple of 3 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k - 3*m - 17, 3*k - 23 = 5*m - 0*m for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 4*n + n - 2*n - n to c + q*n and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -4049 greater than -49789?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 205, 250, 333, 460, 637, 870?\nAnswer: 1165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8856, 30.7, 0.042 in ascending order.\nAnswer: 0.042, 30.7, 8856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*y + 0 = 151*y - 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40891, -158869, -355507, -630811, -984787?\nAnswer: -1417441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21101221 (base 3) to base 13.\nAnswer: 25c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3 + sqrt(44))**2 - (((sqrt(88) - sqrt(88)*1) + sqrt(88))\/sqrt(8) + 1).\nAnswer: -29*sqrt(11) + 92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -223575 divided by -75?\nAnswer: 2981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54 + 3*h + 54.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c. Let p be n(-3). Suppose l - p = 1. Determine u, given that 0 - 3*u + l + u**2 - u + 0*u**2 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*v)*(-3 - 1 + 3)*(-4*v**4 + v**4 + v**4) - 11*v**5 - 3*v**5 - 35*v**2 + 2*v**4 + 31*v**2.\nAnswer: -10*v**5 + 2*v**4 - 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 4*u + 31 = 11, 3*x + u - 14 = 0. Find the third derivative of -4 + x + h**2 + 3*h**3 wrt h.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 13 + 754\/(-104) + 1\/4. Let d(q) be the third derivative of -1\/48*q**o - 5\/6*q**3 + 9*q**2 + 0*q**5 + 0 + 0*q + 5\/16*q**4. Find b such that d(b) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19385\/2 smaller than -2142?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/3)\/(1\/(-12)). Let g be 16\/(-32) + (-31)\/(-2). Let s = d + g. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (1 + 1)) + (16 - 16)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 105 - 241. Let f = k + 136.0000149. Round f to 6 dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -0.18, -0.044?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 2*a**3 + 7453*a - 2*a**2 - 2*a**4 - 14906*a + 7451*a to f*a**3 + y*a + p*a**2 + q + t*a**4 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -6*6*(sqrt(68) - (0 + sqrt(68) + -1) - sqrt(68)))**2.\nAnswer: -4752*sqrt(17) + 89217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x + 18. Let j be k(14). Find c such that 4\/5*c**2 + 0*c - 2\/5 - 2\/5*c**j + 0*c**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 5*t - 72 = 0, 0 = 2*r - t - 25 - 23. Let o = 2 - -1. Suppose 0 = -o*l + x + 19, 0 = -5*x + 4 - r. Solve -4 = l*z + 3*s - 0, 2*z + 7 = -3*s for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 42? (a) -4\/7 (b) 0.4891 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -376.1 times -269?\nAnswer: 101170.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1937103 is divided by 19970.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j + 20. Suppose 0 = -4*w - 34 - 6. Let i be b(w). Suppose 17*l - 266 = i*l. Is 19 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10, -42, -136, -322, -630, -1090, -1732, -2586?\n\"Answer: -5*c**3 - c**2 + 6*c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11335657 divided by 6.\nAnswer: 11335657\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 543*m - 377. What are the prime factors of p(10)?\nAnswer: 31, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 - 29. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 25 = 4*p, -5*n + 4*p + 22 = -25. What is the remainder when 21 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*w - 2*w**2 + 2*w**3 + 7*w**2 + w**4 + 44*w + 3 - w**4 + 8*w**4 in the form b + k*w**4 + m*w**2 + f*w**3 + q*w and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + sqrt(15)\/(sqrt(18)\/sqrt(6))*-4)*-1*-6.\nAnswer: 18 + 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/3 + 1*(-23)\/(-33). Factor -2\/11 + t*r - 2\/11*r**2.\nAnswer: -2*(r - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.973 + 0.0485844?\nAnswer: -8.9244156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 70.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 18) + 2 + -21 - (7 - 1)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1390891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**0))\/f**(1\/8) assuming f is positive.\nAnswer: f**(-1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 15*u**2 - 4*u - 3. Calculate i(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 109772 to the power of 1\/2, to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5910 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1139542206 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2757 - 2658. Let m = 182 + -137. What is the remainder when o is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56b (base 13) in base 11?\nAnswer: -77a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -293.9172 + 294. Let v = -0.08 + p. Round v to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4549*h**2 + 33 - 33 - 4554*h**2.\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 558675028.\nAnswer: 2, 6007, 23251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -127224 - 3?\nAnswer: -127227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 139752 divided by 27\nAnswer: 5176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 476*v + 479*v - 5 = 0, 0 = -5*s + 6*v - 40 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4275880?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101110 + 10?\nAnswer: -101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iud when three letters picked without replacement from uddddduduluil.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 697714 = -d + 2762460, l - 692032 = -3*d. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1356, -2, 5, 28 in increasing order.\nAnswer: -1356, -2, 0, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*k**5 + 68470*k**4\/3 + 6054910*k**3\/3 - 232210340*k**2\/3 - 529534785*k + 16117530 = 0. What is k?\nAnswer: -221, -6, 1\/33, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -12518.28 rounded to the nearest one hundred?\nAnswer: -12500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -446 + 203 - f**2 + 10*f**2 + 6*f**2 - 18*f**2 + 243.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (30 - 26) + (-4)\/2 + 1. Suppose -3*x - m*y = -0*y - 279, -3*y + 370 = 4*x. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b51d1acb - 0?\nAnswer: b51d1acb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 5*v + 3. Let x(j) = 14*j + 8. What is 8*n(p) - 3*x(p)?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6383 - ((-18)\/7 - (-25)\/((-1400)\/24)) is divided by 80.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.618, -1\/12, -0.2?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -44a - b83?\nAnswer: -11cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -0*b - 10. Let c be 118\/(b\/4 - -3). Suppose -3*w - 4*t = -c, 0*t = -2*t - 2. Calculate the highest common divisor of w and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 13) to base 5\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -8\/599 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-54)\/54)\/(1\/5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2*k = 1344, -5*k = -4*c - 4*k + 1342. Let y(i) = i - 85. Let j be y(-29). Let w = c + j. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 1 - (72 + (-156 - -76))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10390, -10248, -10096, -9934, -9762, -9580?\n\"Answer: 5*v**2 + 127*v - 10522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of s**6\/30 - s**5\/8 + s**4\/8 + s**3\/6 - 16*s**2 + 3*s - 1. Let g(a) be the second derivative of c(a). Factor g(j).\nAnswer: 3*(j - 1)*(4*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*x**5 - x**4 + 101658*x**2 + 45064068*x wrt x?\nAnswer: -60*x**3 - 12*x**2 + 203316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -4*a - r - 1688, -r = -2*a - 844. Let x = 422 + a. Solve -c - t = x, -7 - 3 = -5*t for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 1\/4, -133, 2, -2\/9 in descending order.\nAnswer: 2, 1\/4, -2\/9, -6, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 143296009 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 148395409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x + 297 - 1007 + 1026.\nAnswer: -2*x + 316","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 85632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -8442.6*1.6\nAnswer: -13508.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -362935*z**2 + 181458*z**2 + 181467*z**2 - z**3 - 32*z - 32.\nAnswer: -(z + 2)*(z + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 621?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 2 + 3 + (-6 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6611 + 948*o - 630*o + 3061*o wrt o.\nAnswer: 3379","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53446496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2078 + 2246 = 84*y. Factor 3\/7*u**3 - 45\/7*u**y + 729\/7 + 81\/7*u.\nAnswer: 3*(u - 9)**2*(u + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.13 and 10277685.\nAnswer: 10277684.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**3\/9 + 3278*w**2\/9 - 1179560*w\/9 + 11484928\/3 = 0.\nAnswer: 32, 476, 1131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o. Let r(x) be the second derivative of x**4\/3 + 7*x**2\/2 - 31*x. Determine k(r(p)).\nAnswer: -4*p**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 75133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22412577.\nAnswer: 3, 11, 679169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 679 + 140*y**3 + 86*y**3 + 686 - 2054 + 682.\nAnswer: 226*y**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/36 and 73\/12722625.\nAnswer: 50890500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 240 divided by -80\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.7 + -9.7. Let f = 0.2 + 0.8. Which is the third biggest value? (a) f (b) 4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26897 by 185.\nAnswer: -26897\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -10448 divided by -4\nAnswer: 2612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.2 + -0.3. Let w = v - 0.836. Round w to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.06 - -6.36. Let v = 6.2 - z. Sort v, 0, 0.3, -0.2.\nAnswer: -0.2, v, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1477579 is divided by 815?\nAnswer: 799","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from eelsqlevlslqqleslll?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 13) to base 16\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - 5*u - 16. Let k be y(-6). Which is greater: k or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-19))\/(-3 - 11338\/(-3779)). Let v = z + -199. Let y = -0.3 + 2.3. Sort v, y, -0.3 in descending order.\nAnswer: y, v, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p. Let o be n(4). Let k(v) = -o*v - v + 0*v. Let q(i) = 32*i + 34. Let m(w) = -11*w - 12. Let d(z) = -17*m(z) - 6*q(z). Calculate d(k(a)).\nAnswer: 25*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 43*g**2 - 6545*g - 3616. Determine y(-105).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mxmx when four letters picked without replacement from mmfmxffmxf.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75 + -85 + (367 - 311).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 + 2)*(2 + 17*s + 5*s**2 - 3*s**2 - 16*s) - 13*s**2 + 17*s**2 - 9*s**2)*(s**2 - s**2 - s**2).\nAnswer: -s**4 - 3*s**3 - 6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*y + y + 155. Let t = -22 + y. Is t a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/5 - 890929*h\/5 - 89093.\nAnswer: (h - 445465)*(2*h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wywwwy. What is prob of picking 2 w and 1 y?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 306080*y + 689008 wrt y.\nAnswer: 306080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12004741?\nAnswer: 7, 1714963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 3.45068?\nAnswer: -3.45068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -163 - -167. Suppose -p*v + 3*i = -535, 0*v - i = 5*v - 664. What is the remainder when v is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8955 - 8880. Which is smaller: 54 or x?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01404 to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -c**7\/945 - c**6\/180 + 53*c**5\/45 - 365*c**4\/27 - 1400*c**3\/9 + 1490*c**2. Determine i so that a(i) = 0.\nAnswer: -21, -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1663*w**3*y - 1430426*w**3 + 570*w*y wrt y.\nAnswer: 1663*w**3 + 570*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/30 and 16\/18 + (-75304)\/82800.\nAnswer: 3450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18325, 73282, 164883, 293134, 458041?\nAnswer: 659610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -33031252*p - 13395453?\nAnswer: -33031252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-30))\/(136\/(-1224))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j + 3 - 2 + 5*j - 2*j**3 + 2*j - j**4.\nAnswer: -(j - 1)*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 35 = -3*v - 7, -2*r + 82 = 670*v - 678*v for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5534 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 59820.1 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 164327476 to the nearest integer?\nAnswer: 12819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*b = 8, -n - 60 = -5*b. Let r = -18 - n. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 139230 and 0.754586.\nAnswer: 139230.754586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3828 and 1869252.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n - 72 = -3*q, 2*n + 189181*q + 4 = 189186*q for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**2. Suppose -2*a = -2*s - 2 + 8, a + 11 = 3*s. Let w(g) = 2*g**2 + s*g**2 + 0*g**2 - 5*g**2. Calculate w(j(t)).\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a + 3. Let g be 4\/6 - 26\/39. Let h be k(g). Solve 3*f - 7 = -5*q, 2*f + 8 = h*q - 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 173 + 201*g**3 - 10*g**3 - g - g + 8 wrt g?\nAnswer: 573*g**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -695732, -695735, -695738, -695741, -695744?\nAnswer: -695747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2252221?\nAnswer: 2252221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -11*b + 7*b + b + 161, -4*b - 33*s + 1110 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -166 + 276. Let f = -109.43 + q. What is f rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 > 6083?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40940307?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -82175.1 and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 - 150 = -74*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - -2 - (-7 + 23 - (-14 - -27)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/(-6) - 2)\/(-10). Let s(g) = -g + 4. Let w be s(5). Which is bigger: w or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2836286 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 18*t**3 + 11. Let u(y) = 9*y**3 + 6. Give 6*m(g) - 11*u(g).\nAnswer: 9*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g**2 - 4*g + 5. Suppose -4*d = d - 25. Let y(v) = v**2 - 2*v + 2. Suppose -x = -3*x - 4. Give d*y(h) + x*b(h).\nAnswer: -h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 4*a + 5. Let p(s) be the first derivative of -5*s**2\/2 - 6*s + 291. Calculate -7*i(n) - 6*p(n).\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/5 at most as big as 8255?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4003725 a multiple of 1055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of -5*p**8\/616 + 32*p**7\/385 - 16*p**6\/55 + 17*p**5\/55 + 21*p**4\/44 - 18*p**3\/11 - 407*p**2. Let d(s) = 0. What is s?\nAnswer: -3\/5, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (12816\/(-28))\/(37\/(-259))?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h - 8. Let b(v) = -2*v**2 + 4*v - 2. Let a be b(2). Let y(s) = -10*s + 25. Let q(m) = a*y(m) - 7*w(m). What is the units digit of q(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bj when two letters picked without replacement from {j: 18, b: 1}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -2\/9861 (c) -8.4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*h - 165 = 57 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -12a7 (base 11) to base 14\nAnswer: -88a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 + 1700\/(-5))\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.078 - 7.4.\nAnswer: -8.478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4*x + 6 = -12, 3*j - 3 = -2*x. Solve z + j*t + 1 = -z, -2*t = -4*z - 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-18 - (-136 + -4)) + (1 - (5 + 4)).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1300 (base 4) to base 6.\nAnswer: -304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -637*m - 1274. Calculate a(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k + 2. Let s be j(2). Let w = 9 - s. Let d = w - 3. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 9*q - 8*q)*(-2*q + q + 3*q) - 2*q**2 - 5*q**2 + 6*q**2.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 5*u**4 - 2465*u**3 + 4915*u**2 - 2455*u = 0.\nAnswer: 0, 1, 491","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -225 divided by -594\nAnswer: 25\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 5*f - 0*l - 5, -105*l - 4 = 2*f - 101*l for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14857 and 25896?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and 188418.\nAnswer: 188418.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/4402 and -40\/341.\nAnswer: 48422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 40.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7578095 to the nearest integer?\nAnswer: 2753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/((c*c\/c**(-1\/5)*c)\/c))\/(c*c**(-3\/7)\/c))\/(c\/c**0)**(-1\/58))\/((c*c**1)**(-17\/5)*(c*c**(-2\/5)*c)**(3\/4)) assuming c is positive.\nAnswer: c**(9837\/2030)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 8:22 PM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (35\/(-20))\/(3\/(-36)). What is the highest common factor of 14 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 1222405?\nAnswer: 1222401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 18 - 5 = -5*z, -7 = -4*z - 3*q for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48827474 is divided by 466.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1015877 and 1015877?\nAnswer: 1015877","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -197*w + 8850. Is 50 a factor of b(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 3*x, -3*x + 14 = -4*u - 13. Suppose -4*l + 0*l + x*d = -20, -16 = 4*d. Let m(c) = -c**2 - c + 2. Give m(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -g**3\/6 + g. Let p(v) = 7*v + 4. Let m(l) = -5*l - 3 + 3*l - 5*l + l. Let c(n) = -4*m(n) - 3*p(n). What is j(c(w))?\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-4)\/((-7 + 5)*-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 f when four letters picked without replacement from {o: 2, y: 1, f: 4}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 2*h - 3*r, 0*r - 4*r + 48 = 5*h. Let s(p) = 29*p + 30. Calculate the remainder when s(8) is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*o + 33. Let p = 38 + -50. Let t = p + o. Solve 4*i + 2*v + 26 = 0, 4*i + 4*v = -22 - t for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 - 4*a + 4. Let v be b(5). Differentiate -6*x**4 + v + 17 - x**4 - 5*x**4 with respect to x.\nAnswer: -48*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27979480.8 to the nearest one hundred thousand.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 1 = 0, -44*a + 49*a = -2*n - 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p**3 + 3*p**2 + 5*p + 3. Let g(b) = -3*b**3 - 2*b**2 - 4*b - 3. Determine -3*g(c) - 2*r(c).\nAnswer: c**3 + 2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 1\/7, 0.4, -14, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/4 + 955*l**2\/4 + 1913*l\/4 + 957\/4.\nAnswer: -(l - 957)*(l + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1818 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04803253615 rounded to four dps?\nAnswer: 0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -16897, -4, 2 in increasing order.\nAnswer: -16897, -5, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 9, 23, 53, 105, 185?\nAnswer: 299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -1\/11 (b) -1 (c) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 113*q**4 - 342*q**4 + 110*q**4 + 97*q**4 - 16*q**2 - q**3 to n + g*q + r*q**3 + z*q**4 + s*q**2 and give s.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*630\/147*(-1 + 2\/3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -145*g*z**3 - 12*g*z**2 - g*z + z**3 wrt z?\nAnswer: -870*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -z**5\/60 + 5*z**4\/24 + 2*z**2 + 2*z. Let l(j) be the first derivative of r(j). What is l(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 12*h - 12 = 0. Suppose h*c - 14 = 3*o, 3*c + 0*o - 5*o = 22. What is the third biggest value in c, 0, -14\/3?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -9*(-36)\/81 - (2 - 51). Let z be g\/17 - 56\/476. Factor 435\/4*k + 75\/2 + 39*k**2 + 15\/4*k**z.\nAnswer: 3*(k + 5)**2*(5*k + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 719 + 529 = -4*x, -5*x + 266 = t. Suppose -u = -6 - 8. What is the remainder when x is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -8 - (13 - (6 - (-52 + 33)))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**2 + 3*k + 3. Let l(v) = v**3 + 6*v**2 + 4*v - 7. Let s be l(-5). List the prime factors of x(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49 + 3*d + 134 - 310 + 127.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2\/7*p**2 + 2\/7*p**5 + 0 - 2\/7*p**3 + 0*p + 2\/7*p**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5321552798.\nAnswer: 2, 2660776399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (3 - 1) - (-9 - -14).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/7, 189\/104, -0.5, 7?\nAnswer: 189\/104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/3 + 668*v\/3 + 2260.\nAnswer: -(v - 678)*(v + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 97.37139 minutes?\nAnswer: 5842283400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of -70*w**5\/3 - 59*w**4\/2 + 346*w**3\/9 + 59*w**2 + 4*w\/3 - 2564. Find s, given that p(s) = 0.\nAnswer: -1, -2\/175, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 17 = 19. Let v = l - -36. Suppose v = -3*z + 2*a + 1860, -819 = -2*z - 3*a + 434. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -103*j**4\/4 + 530*j**3\/3 - 264. What is the third derivative of y(m) wrt m?\nAnswer: -618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -4763*b + 2375*b + 2386*b. Suppose 2*c - 4 = -0*c. Give a(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (28 - (-5 + 22)) + -3 + 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27\/3836 - -3703739\/11508. Let t = 2825\/9 - l. Find the common denominator of t and -101\/28.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 - -20. Let u(n) be the first derivative of -1\/6*n**4 + m*n + 0*n**3 + 1 + 0*n**2. Let u(d) = 0. What is d?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12420873 to the power of 1\/2, to the nearest integer?\nAnswer: 3524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 2:14 PM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(180) + 5 - 1*sqrt(180)*-2)**2.\nAnswer: 216*sqrt(5) + 1656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 - -33?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -30\/11 (b) 1 (c) -4 (d) 0.7 (e) -82 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -0.3, 3, -1\/4, 2, 22\/529?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1709 - -4058. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -34, -635154 in ascending order.\nAnswer: -635154, -34, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = -6 + 6. Suppose q = 9*o - 266 - 193. Calculate the remainder when o is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21*o**3*p**2 - 61*o**3 + o**2*p + 2*o*p**2 wrt p?\nAnswer: 42*o**3*p + o**2 + 4*o*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 10:37 AM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 8. Solve 2*p = n*p - 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.12 - -15.12. Which is the nearest to 0? (a) 2\/3 (b) 3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -13. Sort -2, -1\/5, -2\/7, q in descending order.\nAnswer: q, -1\/5, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 809625 to the nearest integer?\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and 5.1249555.\nAnswer: 9.1249555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -255*u + 49. Let n(d) = -59*d + 12. Let j(x) = -3*m(x) + 13*n(x). Let g(c) = c**2 + 4*c + 4. Let i be g(-4). Let p(k) = 1. Calculate i*p(s) - j(s).\nAnswer: 2*s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 1)*(144*q - 820*q + 226*q) to the form b*q + z and give b.\nAnswer: 450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 77069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -35 + 165?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*f**2 + 0*f - 119*f**2 + 2*f.\nAnswer: 12*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.28272 + -6.71728. What is the fourth smallest value in 0.05, 2\/13, -0.4, t?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -22\/7, 5, 1\/6, -40, -1\/4?\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) -16 (c) 3496 (d) 5 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2555 (base 6) to base 3.\nAnswer: 212222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 989487535 divided by 5?\nAnswer: 197897507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-9))\/(4\/72). Is 1\/4 - (-189)\/w a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o, 4*o = -2*i - i - 15. Let h(q) = -4*q**3 + q**2 + q + 1. Let y(l) = 23*l**3 - 11*l**2 - 9*l - 12. Let v(m) = 6*h(m) + y(m). Determine v(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -70*g - 2. Let j(h) = -700*h - 21. Suppose 1213 = 110*f - 1097. What is f*l(d) - 2*j(d)?\nAnswer: -70*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*sqrt(3025)*4)\/(-4*(sqrt(5) - (1*sqrt(5) - sqrt(5)) - sqrt(5)) + sqrt(10)\/(sqrt(2) - sqrt(32))).\nAnswer: -528*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 958162671*w**2*x**2 + 246176*w*x + 4*x**2 wrt w?\nAnswer: 1916325342*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/2)\/(6*(-117)\/(-54))?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -728*d + 4*z = -729*d - 28, -3*d = z + 29 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -635.1.\nAnswer: -190.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -88 - 2807833?\nAnswer: -2808032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -13*i**5\/4 + i**4\/12 + i**2\/2 - 5*i + 6. What is the remainder when 400 is divided by f(-1)?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8826*v - 8839*v = 13. Let a be ((-3)\/(-570))\/(1\/2). Which is greater: a or v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + q**2 + 2*q + 2. Let p(n) = 3*n**3 - 8 + 3*n + 7*n**2 - 2*n**3 + 0*n + 2*n. Let c be p(-6). Determine i(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 11*x**2 - 8*x + 1. Give u(12).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vllvvwvvvvvw. Give prob of sequence wvv.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iol when three letters picked without replacement from uleillloolkoe.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -21\/38 (c) 2\/61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-42)\/12*80\/(-7). Calculate the greatest common factor of 280 and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-10))\/g**(-1) assuming g is positive.\nAnswer: g**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1 + sqrt(325) + (sqrt(637) + -3 - sqrt(637)))**2.\nAnswer: 30*sqrt(13) + 334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0514 + -4.9486. Which is the nearest to 2\/9? (a) -0.2 (b) h (c) -2\/45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5794 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 224 (base 12) to base 11\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5002*p + 38109 = 55902 + 207297 for p.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 240 and 250?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 12, 14 in descending order.\nAnswer: 14, 12, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 547*o**2 + 565*o wrt o?\nAnswer: 1094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 5*z**2 + 6*z. Let y = 5 - 10. Let b(o) = -13*o**2 + 9*o**2 + 0*o + 8*o**2 + 5*o. Suppose 2*p = -2*x + 8, -2*x + 0 - 4 = 0. What is p*b(q) + y*d(q)?\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -850*l**4 - 1247 with respect to l.\nAnswer: -3400*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26085*h**3 - 1706*h - 4 wrt h?\nAnswer: 156510*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 30 = 11*p. Suppose -2*s + 17 = a + s, p*s - 36 = -4*a. Solve 0 = a*m - z, -m = 2*m - 4*z for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000069863704 rounded to seven decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20 + -55402?\nAnswer: -55362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 336*a**2. Let y be h(2). Suppose b = -3*x + 998, -5*x + x - 4*b = -y. Is x 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 {b: 1, z: 2, w: 1, t: 1, q: 1, n: 1}. Give prob of picking 1 w and 1 n.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2 + 87556*k + 2890437.\nAnswer: -(k - 87589)*(k + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241 = -206*p + 171 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 = -11*u + 76. Suppose t - 2*m - u = 0, t + 4*m + 2 = -t. Calculate the remainder when 25 is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - q - 3*q + 20, 5*q - 25 = 2*o. Let b(n) = n + 163. List the prime factors of b(o).\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4331 - 4332. Let w = -16 + 31\/2. Let n be (-3)\/(-9) + (-1)\/2. Which is the second smallest value? (a) 0.3 (b) n (c) l (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.233 and 55.5747532.\nAnswer: 55.3417532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -1457*p**2 + 7*p - 6. Let l be y(-6). What is l rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 10538?\nAnswer: 42152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 3*h - 7*h - 4, 5*h - 4 = -s. Let o be 4\/10 + s\/(-10). Let c(n) = n + 8. What is the remainder when 22 is divided by c(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 990?\nAnswer: 2970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 16) in base 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1085 is divided by 273?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 2*l + 3*i + 25, 0 = -3*l - 4*i - 35. What is the closest to -5 in -0.3, l, 0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.231561 to 3 decimal places.\nAnswer: 0.232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**2. Let k(o) = 2582*o. Give p(k(u)).\nAnswer: 13333448*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -154*w + 171. Let t(u) = 76*u - 86. Let j(p) = -4*n(p) - 9*t(p). What are the prime factors of j(-19)?\nAnswer: 2, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 216905500 divided by 2900?\nAnswer: 74795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3295619 and 467?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2643.\nAnswer: 3, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7325 and 8204?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -214555, -429018, -643471, -857908, -1072323, -1286710, -1501063, -1715376?\nAnswer: -1929643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5008*c*s*t*w - 2002*c*s*t - c*t - 3956*c*w**2 - 1090*s*t*w**2 + 2*s*w - t*w**2 wrt w?\nAnswer: -7912*c - 2180*s*t - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.64 + 0.34. Let x = -0.8 - g. Round x to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w*w\/(w*w\/((w**(-2\/25)\/w)\/w))*w*w*w**(-1\/12)*w*w*(w**(-2\/11))**29 assuming w is positive.\nAnswer: w**(-8039\/3300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-6470.\nAnswer: 1941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 50\/6 - 2\/(-3). Let h = 28 - 77. Let m = -46 - h. Calculate the highest common factor of m and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*q = -41*q + 96 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 104384846?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -107, -228, -375, -548, -747, -972?\n\"Answer: -13*r**2 - 82*r - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.05 and 619.7399.\nAnswer: -30.986995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145*0.2.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 696623*-0.87\nAnswer: -606062.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2822 and 1570277.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - j - 5, 5*i - 25 = -2*j. Let a be (0\/2)\/(i\/3). Solve 0*b = 2*d + b - 10, 3*d + 3*b - 15 = a for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*o - 290*o + 31*o - 101*o.\nAnswer: -498*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 186*a**3*k + 3*a**3 + 10*a - 27*k + 8597 wrt a?\nAnswer: 558*a**2*k + 9*a**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -3.01. Let m = 2.04 + -2.106. Let w = t + m. Round w to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/448*(-112)\/4)\/(-93)?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - -4*(-4)\/(-8). Suppose -n + 2 = -v*n. Suppose -n*i - 33 = -503. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -94896 by -1.\nAnswer: 94896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - (20 + 0 + -41).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 16320, 16314, 16304, 16290, 16272, 16250?\n\"Answer: -2*p**2 + 16322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79, -137, -293, -595, -1091?\nAnswer: -1829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**3\/9 + 1351646*i**2\/3 + 685105766816*i\/3 + 2055313245512\/9 = 0 for i.\nAnswer: -1013734, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1867?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that n**4\/4 + 30*n**3 + 2163*n**2\/2 + 10706*n + 92697\/4 = 0.\nAnswer: -53, -11, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 + (-9)\/3)\/1. Let l = t + 2. Solve 2*u**l + 2*u**4 + 1\/2*u + 3*u**3 + 0 + 1\/2*u**5 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33258874*z**4 - 46482*z**2 + 181*z + 2 wrt z.\nAnswer: 798212976*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-6))\/((-16)\/(-24)). Let l(r) = -r**3 - 2*r**2 + 1. Determine l(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -919*l = -884*l + 560 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, e: 2, m: 2, f: 1, x: 1}. What is prob of picking 1 e and 1 f?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t**2. Let n(d) = -9*d**2 - 6. Determine i(n(g)).\nAnswer: 324*g**4 + 432*g**2 + 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 4, -0.4, -1\/3, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 8976548.87 to the nearest 10000.\nAnswer: 8980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h. Let n(o) = -157 + 157 - 49*o + 147*o. Calculate s(n(u)).\nAnswer: 294*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 68*b. Let y(p) = 11623*p**2 + 204*p. Give 3*n(l) + y(l).\nAnswer: 11626*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24 + 1234404004?\nAnswer: 1234404033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -0.1 (b) -3 (c) 2\/9 (d) 15 (e) -7 (f) -1 (g) 9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 625 = 3*n - 9828, -4*r + 5*n + 36744 = 0. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of 0 + 4\/21*o**3 - 18*o - 1\/84*o**6 + 1\/1176*o**8 - 1\/735*o**7 + 3*o**2 + 1\/210*o**5 + 2\/21*o**4. Let a(u) = 0. Calculate u.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -60*p + 44. Calculate g(8).\nAnswer: -436","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17849159507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 464995 and 565?\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -13. Let x = -4 + k. Let p(z) = -12*z - 1 + 18*z + x. Let a(m) = -2*m**2. What is a(p(b))?\nAnswer: -72*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3014 - 2431?\nAnswer: -11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1*sqrt(2016) - sqrt(2016)))\/(sqrt(288) + 1*sqrt(288)*-6 - sqrt(288)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 928 divide 782387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 349869 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 343 a factor of 2620681896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*d = -122, -d = 2*d + 9. What is the remainder when q is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*x - 17*x - 1 = 4*i, 2*i - 4*x + 2 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h - 9. Let j be n(-6). Let x be -5 - 3\/j*-1. Which is the second smallest value? (a) x (b) 0.3 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 55, 2, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 413017 and 51664672.\nAnswer: 568311392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(sqrt(108)*-2) - (sqrt(102) - (sqrt(102) + 2*sqrt(102) + sqrt(102))*-1)\/sqrt(6).\nAnswer: -61*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -193258*i + 193259*i - 11128 = 0. What is the ten thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22360626451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 8*p - 10 = 0. Suppose -21 + 16 = -2*u - p*l, 0 = -2*u + 4*l - 4. Sort -1, u, 4 in ascending order.\nAnswer: -1, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + 1*sqrt(2299) + sqrt(2299) + sqrt(2299) + -1)**2 + (-6*sqrt(2299)*-3)**2 + (2 + sqrt(2299) + -5)**2.\nAnswer: -66*sqrt(19) + 767875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 11*p + 9. Is v(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-3)*n\/(n*n*n*n**(-1))*n**(-7)\/(n\/n**6)*((n\/(n\/(n\/n**(-4))))\/n)\/(n**(4\/7)*n)*(n\/(n**2\/n))**(-3\/10) assuming n is positive.\nAnswer: n**(-25\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -10101 (base 2) to base 7\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 690231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5*j = -316. Suppose 0 = -2*h + 557 + j. Suppose -h = -v - 5*v. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5946, 8515, 11084, 13653, 16222, 18791?\n\"Answer: 2569*i + 3377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/40)\/(110\/(-88))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 11*k**3 - 18*k**2 - 23*k + 4. Let a(w) = 23*w**3 - 33*w**2 - 43*w + 7. What is -6*a(v) + 11*f(v)?\nAnswer: -17*v**3 + 5*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 76, 3, 2, -1 in descending order.\nAnswer: 76, 3, 2, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 32 = -4*a - 7*l, -8 = -a + 3*l. Let s = 23 - 19. Suppose -5*u - 15 = g, -s*g + 0*u - 5*u = 0. Solve -g*n + a = -7 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-4)*(-5)\/75*-4. Let m = 4.51 + 0.49. What is the fourth biggest value in 2\/5, u, 0.5, m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13.4 + -5.8. Let c = -18.998 - y. Round c to 2 dps.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -2, -1, 551, -48 in decreasing order.\nAnswer: 551, 0.2, -1, -2, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aggaaaqaqqagggqgqag. Give prob of sequence gagg.\nAnswer: 245\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2 and 8333.\nAnswer: 8332.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - 9*x - 7. Let d be o(-8). Let m = -123 + 251\/2. Let c = m - d. What is the third smallest value in -4, 3\/7, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -4*v - 28, 17*a = 20*a - 2*v - 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 378018?\nAnswer: 3780180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*w = -61, -150 = -6*o + 3*o + 5*w. Let f be 10\/o + (-168)\/(-44). Suppose 0 = -a + 3, -444 = -f*l + 5*a - a. List the prime factors of l.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -71069 (base 11) to base 2.\nAnswer: -11001010111010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 2*s - 8, 3*r = s - 0 - 4. Solve r = -t + 7 - 11 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.989 + 0.011. Put -1, o, 5 in ascending order.\nAnswer: -1, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 12, i: 7}. Give prob of sequence iii.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-15\/4)*t*t**(-34))**(4\/21))**(-38) assuming t is positive.\nAnswer: t**(5434\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -2*s**2 + 109. Let j(b) = 18*b. Determine i(j(u)).\nAnswer: -72*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4852680 and 270?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/93291 or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - -0.1426.\nAnswer: 0.3426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 243510 to the power of 1\/2, to the nearest integer?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 170, 379, 586, 791?\n\"Answer: -m**2 + 212*m - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 223218?\nAnswer: 2, 3, 12401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 62*n**2 + 66*n + 187. Let r be y(-63). Which is smaller: -97\/47 or r?\nAnswer: -97\/47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 - 16. What are the prime factors of 12*(20\/u - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 101362523 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156243300?\nAnswer: 2, 3, 5, 29, 17959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6912 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -7*c**3 + 27*c**2 + 52*c + 5. Determine t(-2).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 5 + 3 + 11*z**3 in the form g*z**2 + c*z + p + q*z**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/728 and 85\/224?\nAnswer: 2912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -39919, -79839, -119759, -159679, -199599?\n\"Answer: -39920*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 1791593234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 53479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -23, -0.4, 9.78?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 7 = -2*q - 29, -2*r - 5*q = -32. Suppose -r*c - 2140 = -11*c. Find the third derivative of -428 + 4*u**2 + c + 26*u**4 wrt u.\nAnswer: 624*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -386 (base 9) in base 8?\nAnswer: -501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -104.18078 to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 16280006 = -a + 3*w, -3*w = -4*a + 16279994. What is a rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13893)\/330 + 43)*(-2)\/(-6).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2220 + 10000?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.03 (b) 1 (c) 2\/13 (d) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 4*i - 1. Let j(o) = -2*o - 9. Let c be j(-7). Suppose -23 + 13 = c*b. Give x(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 - ((11 - -4) + -24)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r - 2. Let t(c) = 6 + 2 - 10 + 3. Calculate 2*t(d) + x(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -1. Let w = -0.9 + -0.1. Let m = -40 - -39.5. Put a, m, w in increasing order.\nAnswer: w, m, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - 0.3. Let q = -1175\/1197 + 82\/133. Let y = 2\/9 + q. Which is the smallest value? (a) r (b) -5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -5*x**4\/2 + 37*x**2 - 106*x. What is the first derivative of s(r) wrt r?\nAnswer: -60*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12908 + -8909. Suppose -3*v + 3*c + m = 0, -5*c + 6673 = 5*v - 2*c. Suppose v + 491 = 5*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1263000 to the nearest 10000.\nAnswer: -1260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -560 - -569. Which is the second smallest value? (a) 1\/3 (b) 2 (c) q (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 234895 to the power of 1\/2, to the nearest integer?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.41 + 1.4. Let k = 1 + -4. Which is the smallest value? (a) q (b) 1\/5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24250 (base 7) to base 8\nAnswer: 14243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-275)\/(-80))\/(-11)*4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21638 - 21744) + 118 + -1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8061 - -128981\/16. Is 0.011 at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 8*v**2 + 7*v + 2. Let i(j) = -7*j**3 + j**2 - 2*j + 1. Let f be i(1). Let x be d(f). Solve x*h - b = 0, 2*h + h + 3*b = -18 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 5*t**2 + 12*t - 31. Let u be o(3). What is the first derivative of 15 + 55 - a**2 - u*a**2 + 2*a**2 wrt a?\nAnswer: -98*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 192735659 and -5.\nAnswer: -963678295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3307060536.\nAnswer: 2, 3, 13, 137, 77369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 324.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 648, -4, -13, -3 in decreasing order.\nAnswer: 648, -3, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 754544 to the nearest integer?\nAnswer: 869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.3, 12, -0.1, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*m - 3*d = -528, d + 14365 = -2*m + 14317 for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-28)*(-544)\/51?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 18 + 24 - 35 - 7*q. Let j(p) = -20*p + 20. Determine 17*c(b) - 6*j(b).\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/(-1) - -2 - 2. Let t be (12\/(-10))\/(4\/x). Suppose -2 = m - t. Which is the second biggest value? (a) m (b) 2 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -9*3\/6*(-70)\/15. Let f = -21 + z. Solve 30 = 5*c + 4*y, -4*c + 33 = -f*c + 5*y for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43355269, -86710529, -130065787, -173421043, -216776297?\nAnswer: -260131549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*j + 10 - 86*j + 1 + 45*j to the form n + q*j and give n.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (48\/(-84))\/(1*7\/(-147))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*h*x**3 + h*x**2*y - 324*h*y + x**3 + 5*x*y - 33 wrt h?\nAnswer: 3*x**3 + x**2*y - 324*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 319*c + 126 = 310*c for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t - t + 4*t + 0*t. Let r(n) = 3 - n - 7*n - 7*n + 5*n - 2*n. Give r(k(z)).\nAnswer: -12*z + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at least -94\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of o**2\/2 + 1. Let v(m) = 8*m. Let l = 1 + -3. Let a(c) = -c. Let w(k) = l*v(k) - 14*a(k). Determine w(n(p)).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110 - -111001101?\nAnswer: 111011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/6)*i**(1\/3)*(i*i**(-1\/23))\/(i**(2\/19)\/i*i) assuming i is positive.\nAnswer: i**(1181\/874)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 + 1052 = -515*x + 65*x - 1146 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 7*f + 3. Let g be n(5). Suppose h - 4*i = 5, -i + 13 = -4*h + 4*i. Let p = g - h. Solve -c - c = p for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -120 + 8a6012?\nAnswer: 8a59a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 44 + 10 = -k, y + 4 = 0. Let w be ((-34)\/k)\/((-2)\/(-3)). Let o = w + 3\/2. Which is the third smallest value? (a) -2 (b) o (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 120223165 + 45?\nAnswer: 120223243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 674069640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n + 261 - 1, -2*n = 51*i + 30 + 95 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 297500 and 2940?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2648991.\nAnswer: 3, 17, 51941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + sqrt(1008))**2 - (sqrt(14)\/sqrt(2) + 0 + 3).\nAnswer: -1012 - 25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x + 14*x - 22*x - 12 to a + w*x and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5374305.\nAnswer: 3, 5, 119429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8710 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -18*f**3 - 4*f**2 + 2*f. What is the units digit of a(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 times 375\nAnswer: 10500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 7, o: 4, u: 1, j: 3, d: 1}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1682, 1806, 2144, 2804, 3894?\n\"Answer: 18*p**3 - p**2 + p + 1664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2. Suppose 25 + 5 = 3*a. Let n(z) = 10*z**2 + 4 + a - 14. Determine n(w(l)).\nAnswer: 10*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 118669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 3:00 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -15. Suppose -5*l + 0*l - 7 = f, 3*f = 3*l + 15. Calculate the remainder when x is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -227.94 - -228. Let n = 0.51 - r. Which is the third smallest value? (a) 5 (b) 0 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 31402.4, 0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**3*r**(-2\/11)*r*r**(-1\/6)*r**(1\/5) assuming r is positive.\nAnswer: r**(1271\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11079 and -0.054?\nAnswer: -598.266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 3401?\nAnswer: 20406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 638 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -147 - 2?\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 8 and 1.06.\nAnswer: 9.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/114 and 79\/6930.\nAnswer: 131670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**4\/8 + 2121*g**3\/8 + 4251*g**2\/8 + 2127*g\/8.\nAnswer: -3*g*(g - 709)*(g + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3\/7 + 1086*h**2 + 7599*h\/7.\nAnswer: 3*h*(h + 1)*(h + 2533)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -431 - -436.001. Let b = u - 4.9. What is b rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 55*a**2 - 105*a - 53. Determine n(53).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 329021594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-4*(sqrt(2048)*1)**2.\nAnswer: -49152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 199b020a - 1?\nAnswer: 199b0209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*d - 1491 = -969. What is the lowest common multiple of 1074 and d?\nAnswer: 3222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -404674 * -0.058\nAnswer: 23471.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -13 (b) 10 (c) -1\/3 (d) -6 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15185701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f**5 - 62*f**4\/3 + 67*f**3\/3 + 10*f**2\/3 = 0 for f.\nAnswer: -5, -2\/15, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2\/19, -100, 3.1?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 194782, 389508, 584234, 778960, 973686, 1168412?\nAnswer: 1363138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 0.61, 4, 0.119?\nAnswer: 0.61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*q + 30*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -22\/7, -0.1, 9\/5?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a9b3a6 (base 12) in base 8?\nAnswer: -25526556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 27*f = -p + 30*f - 2, 4*f = -5*p - 9 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = v - 431, -263 = -3*g + 4*v + 14. Calculate the highest common factor of g and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/7 - (-299)\/(-161). Sort 2, 6, g in decreasing order.\nAnswer: 6, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + -1)*-1 + -1. Let x(j) = 2*j + 10. Let f be x(v). Suppose -f = -4*p + p, 3*p - 90 = -2*b. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -807*v**2 - 4436*v + 4436*v + 8.\nAnswer: -807*v**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -5. Suppose 4*x - w = -3*w + 16, u*x = 3*w + 26. Suppose -3*y + 1 = -4*b, -x*b + 3 = y - 10. Let r(n) = -3*n - 1. Determine r(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/79 - -1319\/48980. Let k = v - -13621\/11780. Find the common denominator of k and -41\/10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 6*p**3 + 5*p + 5. Let i(x) = -6*x**3 - 5*x - 6. Determine 5*i(q) + 6*s(q).\nAnswer: 6*q**3 + 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -140147912 plus -1588496?\nAnswer: -141736408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xwxmwxmwgxpmmmx. Give prob of picking 3 m.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 149, 327, 573, 887, 1269, 1719?\nAnswer: 2237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46.769 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g - 5*d - 9 - 1, 0 = 2*g + 5*d + 27*d + 4 + 146 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + p + 10 = a, p = -5*a + 6 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*h = 173*h - 99*h - 888 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z + 6. Let k(n) = -27*n - 33. What is k(y) + 6*u(y)?\nAnswer: -21*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -14, -41, -100, -203, -362, -589, -896, -1295?\n\"Answer: -2*t**3 - 4*t**2 - t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -63*v - 21*v + 226*v - 4*v - 4*v + 5*v - 2*v - 2*v + 3*v + (v + 3*v - 2*v)*(-1 + 3 - 3) + 3*v - 3*v + v in the form l*v + z and give l.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven halves of a century?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12047675 - -2?\nAnswer: 12047677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 194\/(-8) - (21\/12 - 1). Is -25 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**2 + 2. Let v(x) = 8*x**2 - x + 9. Determine -9*k(u) + 2*v(u).\nAnswer: -2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 5*t**2 - 5*t + 1. Let q be n(-1). Is (1\/(q\/740))\/(-3 - -5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 145271 or 145273?\nAnswer: 145273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -766*c**3 + 2*c**2 + c + 3*c**2 + c**2 - 5*c**2.\nAnswer: -766*c**3 + c**2 + c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 779098 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 6 = -3*o - 5*l, 0 = o - l - 6. Suppose -2*n - o = -14. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 4*w - 29 + 11, -12 = -j - 5*w. Suppose -3*a + 10 = 3*d - 2*a, -j*d + 5 = -a. Suppose -d*m + 450 = -21. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5221249.7 to the nearest one hundred thousand.\nAnswer: 5200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(36\/(-8))*-36. Solve z - 2*z = -4*s + 12, 0 = -4*z - 2*s + t for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 33 or 4\/5?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-2)\/(-11) + 2340\/1287)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.122473, 0, -2\/3, 1\/2?\nAnswer: -0.122473","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 39*u**2 + 50*u - 401. Determine a(40).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 5. Suppose 3*w - 13 = -0*w + 2*r, 0 = w + 2*r + 1. Solve -2*i + 6*o - 4 = w*o, b = -5*i + 5*o for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*f + 5, 5*t - 153*f - 11 = -154*f. Solve p = t*p - 18*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 47696604, 95393196, 143089788, 190786380, 238482972, 286179564?\n\"Answer: 47696592*w + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*t = 12*t - 57*t + 213 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 13*u**2 - 2*u + 1. Let d be t(1). Suppose -825*k - 502 + 444 = -1708. Solve -2*p + d = -k*r, 2*p = -0*r - r for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -592368*o**2 - 170*o + 618 wrt o.\nAnswer: -1184736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -z**3\/6 + z**2 - 4*z. Let l be y(0). Suppose -l = -2*w + 6. Solve w*g = 6*g - 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.535 + 0.275. Let p = f - 1.8100001. Round p to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 146523\/4*t - 663\/4*t**2 - 10793861\/4 + 1\/4*t**3 = 0. What is t?\nAnswer: 221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 388549 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2450000 = 47*n - 42*n. Round n to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 11*p + 235. Let l(u) = -2*u**2. What is z(l(v))?\nAnswer: -4*v**4 + 22*v**2 + 235","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -294*q + 2403 + 676 - 433 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 171821681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (102 + 0)*(71 + 15688\/(-222)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**5 - 5*q**5 + 3*q**5 + (-4*q**2 + 2*q**2 + 3*q**2)*(0 + 0 + q**3) - 1690380*q**2 + 3 - 8*q**5 + 5*q**4 + 1690380*q**2.\nAnswer: -10*q**5 + 5*q**4 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27060?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 298 = -93*i + 1693 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/235, 3\/5, 0.3, -3, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6\/5, -34, 2, -182\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, 2\/61, 40?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6825 - 6789. What is the remainder when 1474 is divided by o?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwf when three letters picked without replacement from {s: 7, w: 3, f: 4}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 2*k + 1. Let h(s) = 18*s**2 - 10*s + 1. Let a(l) = 11*l + 23. Let p be a(-2). Let z(x) = p*h(x) - 5*j(x). Let g(c) = -3*c. Determine z(g(o)).\nAnswer: 117*o**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -i**5 + 18*i**4\/5 - 12*i**3\/5 - 8*i**2\/5 = 0.\nAnswer: -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 6 - (-78 - -95)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*l + 47*l + l - 35741 = -31067 for l.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43\/3 + 15. Let h be (11\/2 - 9\/6)\/(-6). What is the third biggest value in h, g, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 129*g + 1. Let c(k) = 2842*k. Calculate q(c(r)).\nAnswer: 366618*r + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*c**2 + 6*c**2 + 1045*c**3 - 418*c**3 - 4*c**2 - 2*c to the form x*c + y*c**3 + v + l*c**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -5*n**2 - 17. Let m(w) = -2*w**2. Determine h(m(x)).\nAnswer: 20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (7 - -17)*(9\/(-21))\/(3\/(-7))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1810 times -45462\nAnswer: 82286220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y - 30 = -500. Let h = y - 57. Is h != -31\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 685 = -2*t, -4*h + 0*h + 2734 = -5*t. What is the hundreds digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**5\/9 - 212*x**4\/9 + 3815*x**3\/3 - 2450*x**2 = 0. Calculate x.\nAnswer: 0, 2, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p. Let i(l) be the first derivative of 7*l**4\/4 - 15*l**2\/2 + 52. Let t(s) be the second derivative of i(s). Determine b(t(g)).\nAnswer: 42*g","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Is 127395131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z + 3825*t - 7 = 3830*t, -2*t + 10 = 2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - 1 - (503 - 558).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 0*i + 5 = -4*v, 8 = -4*v - 4*i. Which is smaller: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/2 of a centimeter?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 369*y + 39. Is m(2) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 17*r. Let u(l) = 394652*l - 2. What is u(c(q))?\nAnswer: 6709084*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/347 and -44\/25093999.\nAnswer: 25093999","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -2 - (-102 + 95)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3817561 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11\/4, -2\/71, 3, -24 in decreasing order.\nAnswer: 3, 11\/4, -2\/71, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 10. What are the prime factors of 11 - (-2)\/(6\/z)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 s when two letters picked without replacement from llxslya.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-148)\/8 + 18)\/(1\/(-6)). Put 5, q, -2, -5, -1 in descending order.\nAnswer: 5, q, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*m = 5*m - 640, -2*m - 61 = -2*h - 53 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2275 + -14?\nAnswer: -2311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 191574 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 756573 (base 9) in base 6?\nAnswer: 13355533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*-5*(-27296)\/(-80). Let t = a + 3559. Suppose -5*d + t = -w, -7*d + 2*w = -3*d - 1480. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -609373\/27 + 22569. What is the common denominator of -139\/1524 and m?\nAnswer: 13716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4168 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 f when two letters picked without replacement from rrfrrftu?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 7 = -2*i + 10*x, 2*i - 3*x + 5 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2260 and 4.\nAnswer: 9040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -84 (base 10) to base 8.\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5141 is divided by 4050?\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4170?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/55 and 1\/125.\nAnswer: 1375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 7 - 3 = -2*v, 2*v + 26 = 4*n. What is the second biggest value in v, -3\/5, -10, -0.4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + 8*s - 63. Let j be t(-13). Solve j*n - 8 = 2*p, -2*n + 3*n - 5*p - 24 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-12)\/(-4)))\/(55\/30)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -61+406\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1336 and 776?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5131 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1039 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 gth term of 4, 89, 342, 853, 1712, 3009, 4834, 7277?\n\"Answer: 15*g**3 - 6*g**2 - 2*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - i = -3*i - 14, -3*p + 33 = i. What is the remainder when 46 is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6999100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1730 - 1730.01347. What is j rounded to three decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*v**3*z**3 + 3*v**3*z - v**2*z**2 + 2*v**2*z - 24*v**2 + 2906077*v*z**3 + 2*v*z**2 - 728*z**2 wrt z.\nAnswer: 24*v**3 + 17436462*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b - 0*b + 12*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-6\/17)*o**(-3)*o assuming o is positive.\nAnswer: o**(-40\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 36\/4 + (-1 - 3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/3 (b) 10 (c) 5 (d) 8\/35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0*t = -2*x - 48, 104 = -4*x + 4*t. Let w be (-348)\/x - 12\/(-66). Suppose -d + w = 1. Does 4 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -8*m**2 - 2*m - 1. Let x(n) = 15*n + 43. Let a be x(-3). What is r(a)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1374618726 to the power of 1\/3, to the nearest integer?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3*j - 3 = 0, -5*t + 19 = 3*j - 26. Let u be 2\/2*18\/60*10. Let w(l) = -l**3 + 13*l**2 - 11*l - 12. Let q be w(12). Solve -t*n + u*n = q for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*-39164\nAnswer: -195820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.19491699 to 4 dps.\nAnswer: 0.1949","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 1. Suppose 0 = -5*z - 20, -4*z = -2*a - 2*a + 8. Let l be o(a). Put 2, l, 5 in decreasing order.\nAnswer: 5, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and -63980576861?\nAnswer: 63980576861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/20)\/((-1)\/10). What is the third derivative of 2*i**t + 6*i**2 + 5*i**4 - 7*i**4 - 5*i**4 wrt i?\nAnswer: -120*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -12*1*(64\/(-12) + 5). Solve g = -x*v - 12, v - 4*g = g - 24 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -6, -3.93?\nAnswer: -3.93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 2)*(-2*c + 0*c + c + (4 + 2 - 5)*(-6*c + c + 3*c) + 2*c - 2*c - c - 4*c + 0*c + 3*c - 4 + 2*c + 4 - 7*c + 12*c + 16*c).\nAnswer: 18*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0377 - 1.0377. What is the closest to 1 in -6, k, 2\/3, 0.2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -74 - -160. Calculate the remainder when x is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 6 = 2*v, 0*v - 3*v + 2*l - 8 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140703 - 136483 = -15252*g - 105090 - 363502 for g.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 - (-3)\/((1 + 3)\/(-12)). Let p be (-2)\/a*-1*54\/(-9). Solve 4 + 26 = 2*w + p*z, -2*z = -2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 2*l = -5*w + 24, -4*w - 4 = -5*l for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 12\/15)*1\/3.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lylkkvvvkqlkykvykvh. Give prob of sequence lq.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5040 - 1399. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**2 - 17*r - 17. Let i be u(-7). Solve 5 - 5 = -i*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 174338, 348775, 523212, 697649, 872086, 1046523?\n\"Answer: 174437*u - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -862 + m**2 + m**3 - 4*m - 2*m**3 + 865. Determine x(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 26 (b) 3\/4 (c) -5 (d) -7 (e) -63 (f) 2\/7 (g) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23106 - -23164. Calculate the remainder when ((-2)\/(-3))\/(1\/516) is divided by d.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ct when two letters picked without replacement from ecuclcucclulltectbl?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-77))\/(4\/4)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*r - 17*r - 23*r + 67*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 31. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2*r)*(3692*r**2 + 3694*r**2 - 7385*r**2 - 1230*r**3) as i*r**4 + a*r + m*r**3 + g + p*r**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48385013 - 67*g**3 - 48385013.\nAnswer: -67*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 8 = -8*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -624 and -127.7?\nAnswer: 79684.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zc when two letters picked without replacement from {c: 4, z: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1.163, -0.3, -52, 0 in descending order.\nAnswer: 0, -0.3, -1.163, -4, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -89*q**3 - 45*q**2 - 247*q + 35. What is the tens digit of w(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -223901250 greater than -223901251?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 13. Let m be 12*(-3)\/(-27)*o. List the prime factors of (14\/8)\/(1\/m).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4783133.276554 and -0.2?\nAnswer: 4783133.076554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -776 + 80705\/104. Let z be (30\/(-52))\/5 - 0. Let o = z - l. What is the third smallest value in 1\/4, o, -0.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 4)*(-528979*d**2 + 264457*d**2 + 264439*d**2 + 101).\nAnswer: -249*d**2 + 303","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12769752 is divided by 3389?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide -23*(5\/(30\/(-54)) - 224)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23829278 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55 - 55. What is the second derivative of s*g**3 + 45*g + 58*g**2 + 2*g**4 - 11*g**3 + 11*g**3 wrt g?\nAnswer: 24*g**2 + 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-11\/2))**(-48) assuming u is positive.\nAnswer: u**216","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2373 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 12*d + 3. Let u be g(-12). Solve 15*n**4 + 0*n**2 + 12*n**2 + 15*n + 41*n**u + 2 + 27*n**2 = 0 for n.\nAnswer: -1, -2\/5, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6409584 rounded to two decimal places?\nAnswer: -0.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 268631, 1074480, 2417551, 4297838, 6715335?\n\"Answer: -n**3 + 268617*n**2 + 5*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.5214458 centuries?\nAnswer: 625.73496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of a**6\/30 + 23*a**3\/3 - 2*a**2 + 10*a. Differentiate f(g) with respect to g.\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {w: 8, v: 5, c: 1, s: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 5*x**3 + 2*x**2 + x - 4. Let s be q(2). Calculate the greatest common factor of 23 and s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -779 and 1.8.\nAnswer: -777.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 102988408 to the nearest integer?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 25329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-6))\/((-1)\/3). Calculate the smallest common multiple of (2175\/125)\/((-16)\/(-10)) - (-1)\/8 and (q - 4*-2)*1.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = 14*u. Factor u - 1\/4*q - 1\/4*q**2.\nAnswer: -q*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5529\/4 or 1383?\nAnswer: 1383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 q when two letters picked without replacement from jjjjjqqjjqqqj.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**5 - n**4 + 2*n**2 + n + 1. Let o(z) = 640*z**5 - z**4 + 2*z**2 - 61*z. Let h(v) = g(v) - o(v). What is the second derivative of h(x) wrt x?\nAnswer: -12820*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -4. Suppose 2*u + 0*u - 5*m + 24 = 0, 12 = 4*u + 5*m. Let q = 13 - u. Which is bigger: q or f?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -23*q - 29*q + 60*q + 4 - 5 + 9. Let t(o) = -o - 1. Let p = -4 - -2. Let m = p + 3. What is m*w(c) + 6*t(c)?\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 12) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 66 - 36 + 2*d**3 + d**2 - 28 + 80*d**4 + (-d**3 - 1 + 1)*(0*d + 0*d + d) as k*d + t*d**3 + y*d**4 + u*d**2 + f and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c + 17. Let x be q(9). Solve -3*j = -x*j - 4*i + 2, 0 = 3*j + 5*i + 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 4 (b) -1 (c) -97.25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 105*n**2 + 2*n - 7. Let c be l(3). Suppose -3*v + c + 3451 = 0. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (1 - -2) + -3 + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177*j**3 - 185*j**3 + 360*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/4 and 58\/126487335?\nAnswer: 505949340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -228432 equal to -12335261\/54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of g**7\/2940 + g**6\/1260 - 23*g**3\/2 + 29*g**2. Let v(w) be the first derivative of u(w). Factor v(f).\nAnswer: 2*f**2*(f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/34 and 61\/14?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(171) - sqrt(171)*-3)*-3)\/sqrt(9) + 0)**2.\nAnswer: 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79921 is divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -5. Let a(o) be the third derivative of o**4\/4 - o**3\/3 - o**2. What are the prime factors of a(k)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 16. Suppose j*o - 2 = 30. Solve -o*z = -3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1413 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*s**3 - s**3 - 2*s**3 + s**3 - 3*s**3 + 4*s**3 + (-s - 2 + 2)*(-2 + 2 - 2*s**2) + s**3 - 3*s**3 + s**3 - 3 + 3 - s**3 + 66*s**3 - 7 + 7.\nAnswer: 70*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17020 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nwfwnwwwwwwwf. Give prob of picking 2 f.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/(-28) - (-1 + 347\/330) and 61\/15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 b, and 2 g when four letters picked without replacement from nggqbgngnngqqqqgng.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/6)\/((40\/(-345))\/4). Let b = u + -24. Is b\/(1\/(-447) + (4 - 4)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -25\/2723 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*q**3 + 26940 - 26940.\nAnswer: 14*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(-4*b - 2*b + 4*b) + 70*b + 2*b - 20*b.\nAnswer: 54*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 73728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -23 (b) -63 (c) 29 (d) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - -2 - 4\/2. Solve 3*c + 8 = -2*p - 0*c, 4 = -l*c for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of j**6\/135 - j**5\/270 - 4*j**4\/27 + 4*j**3\/27 - 35*j**2\/2 + 5. Let s(l) be the second derivative of r(l). Solve s(z) = 0.\nAnswer: -2, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 8*a**2 + a + 4. Let p be o(8). What is the highest common factor of 324 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2 - 3 + 14*r in the form q + o*r and give o.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 216*t**2 + 635*t - 10. Give a(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -482 divided by 1940\nAnswer: -241\/970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 934*b**5 + 49*b**4 - 2305287*b**2 wrt b?\nAnswer: 56040*b**2 + 1176*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72\/(-1080)*(-1)\/(13\/(-130)))\/((-53)\/(-3)).\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 divided by 61?\nAnswer: 42\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*(-2)\/4*2. Suppose -5*u = -4*a - 42, h = u - 2*u - 2*a. Calculate the highest common factor of u and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -10*a**3 - 11*a**2 - 15*a - 2. Let u be g(-1). Calculate the greatest common divisor of u and 11304.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450) - sqrt(450)*2)\/(sqrt(27)\/(sqrt(3)*1 + sqrt(3))).\nAnswer: -10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1374624?\nAnswer: 2, 3, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 15, 2*k + 4*z - 3 = -z. Let w(b) = 41*b + 9. What is the remainder when w(2) is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4142 + -0.8142. Which is the closest to l? (a) -4 (b) 8 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 17 = -3*z, 0 = -3*a - 4*z + 5 + 3. Factor 8*o**3 + 20*o**4 + 37*o**a + 2*o**5 - 47*o**4.\nAnswer: 2*o**3*(o + 1)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -y - 0*y. Let x(w) = -4*w**2 + 1 - y*w - 2*w + w**3 + 7*w**2. Let t be -3 - (1 + 1 + -1). What is x(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-6*(sqrt(136) - (sqrt(136) + sqrt(136) + (sqrt(136) - -2*sqrt(136)))))\/(sqrt(128) - (sqrt(128) - -2*3*sqrt(128)))*-5 + 5.\nAnswer: 5 + 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -500*d**5*l**2 + 274*d**2 + 2*d*l + l**2 wrt d.\nAnswer: -30000*d**2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z - 2. Suppose 2 = -y - 0. Let d = -4 - y. Let f be 1 + d + -1*1. Determine t(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = 41 + 8. Let y(b) = -5*b + 17. Let x be y(f). Calculate the remainder when x - 3 - 5\/(5\/(-4)) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.4 + 1.6. What is the biggest value in 2, -4, p, 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express w**2 - 7*w**2 + w**2 + (-w + 0*w + 0*w - w + 0*w + 3*w + (w + w - 4*w)*(-1 - 1 + 4))*(-2*w + 2*w + w) as k*w**2 + s + j*w and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**3 - j**3 + 1 + j**3 - 5*j**3 - j + 10*j**3 - 3*j**2 to the form o*j**3 + w*j**2 + c + k*j and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-893 - 2*i - 5*i**2 + 876 + i**2)*(3*i**2 + 0*i**2 - 2*i**2).\nAnswer: -4*i**4 - 2*i**3 - 17*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 9555474 = -60044526. Round q to the nearest 1000000.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-355)\/(-50) + -4 - 3.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -2.9. Let i = 70 + -629\/9. Sort i, 0.5, d.\nAnswer: d, i, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 4 = -2*o, -16933 = 2*m - 16931 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u**(-1)*u)\/(u*(u**(-3\/4)*u)\/u))\/(((u*u\/u**(-2))\/u)\/(u\/(u**(-6)*u))))**(-22))**(-38) assuming u is positive.\nAnswer: u**3135","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43 + 20 - 30 - 16)*(-28 + 8*p + 28).\nAnswer: -552*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -8 (b) -3 (c) -0.2 (d) -0.5 (e) 35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300 is divided by 61.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*u + 2043 = 136*u + 756. Solve -5*p + 3*k = 2 - 30, -2*k + u = 3*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31 + 23 - 25 - s**3 to y + z*s**2 + v*s**3 + k*s and give y.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 9:31 AM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132559369 is divided by 413?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3\/7, 17, 2, -346, 14?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 133684688129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from {j: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -69*q**2 + 11\/300*q**5 + 0*q**6 + 3\/20*q**4 - 1\/1050*q**7 + 0*q + 4\/15*q**3 + 0. Determine f so that m(f) = 0.\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 22\/8147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 0 = 3. Suppose -4*f**2 + 2*f + 3*f**2 - 3*f + j*f = 0. What is f?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -2*g**3\/3 + 16. Let a(j) = -2*j. Determine p(a(l)).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5740855?\nAnswer: 5, 1148171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.64 times -6896.96\nAnswer: 4414.0544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(242))**2 + sqrt(2) - (sqrt(2) - (sqrt(2)*3 + 3 - sqrt(2))).\nAnswer: -64*sqrt(2) + 254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -24731898, -49463795, -74195692, -98927589?\n\"Answer: -24731897*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 = 4*k - 2*x, 4*x + 0*x + 74 = 2*k. Let r = k - -93. Is 24 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -1 - 13 - -11?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -137.7346145 to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 150167709 and 1515?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 11:50 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 163590302 to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00049917 rounded to six decimal places?\nAnswer: 0.000499","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/40 and -149\/1140.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.38, -6, -0.2 in ascending order.\nAnswer: -6, -0.2, 0.38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 10*i. Let f(j) = 7*j**2 + 15*j - 6. Let h(a) = -16*a**2 - 35*a + 14. Let w(c) = -7*f(c) - 3*h(c). Give w(g(z)).\nAnswer: -z**4 + 20*z**3 - 100*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 8, -7*y + 8*y = -2*z + 50. Suppose 25*d + 1140 = z*d. What is d rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 307819358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17672*s**2 + 5*s - 5*s.\nAnswer: 17672*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26959 + -47843. Let g = v + 20884.050015. Let c = -0.05 + g. What is c rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -11, 2, 1, 0 in descending order.\nAnswer: 3, 2, 1, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -15. Let d(y) = -y**3 + 7*y**2 - 8*y + 7. Let b be d(6). What is the third biggest value in b, 1, h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 269704 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5318733, -5318703, -5318661, -5318613, -5318565, -5318523, -5318493, -5318481?\nAnswer: -5318493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -c**5\/3 + 4*c**4 + 35*c**3\/3 - 30*c**2 - 124*c\/3 + 56 = 0?\nAnswer: -3, -2, 1, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319524.\nAnswer: 2, 3, 26627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 1 - ((-1116)\/162 + (-1)\/9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 3*r**2 + 11*r + 11. Let q be k(-2). Let a(f) be the first derivative of 4\/3*f**3 + 0*f**2 + q*f - 5. Differentiate a(u) with respect to u.\nAnswer: 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2584296 and 123318?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + (sqrt(700)*-2 - sqrt(700)))**2*-1.\nAnswer: -25204 - 240*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i - 3. Suppose -3*z = -4*g - 18, 2*z + g = -0*g + 1. Let t be d(z). Sort 1, t, -5 in decreasing order.\nAnswer: t, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - j + 42. Suppose 3*q + 24 - j = 4*w, -q = 3*w - 29. What is the least common multiple of 5 and w?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 divided by 4288215.\nAnswer: 18\/1429405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25 or -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 3*k + 23 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -278955*v - 1115743. What is l(-4)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yz when two letters picked without replacement from ddyzzzd.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16000 - -15999. Let p = 155\/6 - 26. Let k = 1 + -1.1. Sort l, k, p in decreasing order.\nAnswer: k, p, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-10)*(-40)\/40?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13391 + 13629.58. What is p rounded to the nearest ten?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((27 - 2)\/5)\/(975\/78).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94472 - 1738 = -133*n + 6547*n for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(2\/15)\/t**(-1\/10)*(t*t**0)**(-21) assuming t is positive.\nAnswer: t**(-623\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 142, 367, 682, 1087, 1582?\nAnswer: 2167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 5*g**2 - 2*g - 6. Let r be b(-5). Suppose 4*m = r*h - 3*h, -5*m = 3*h. Suppose 4*j + 6*j - 40 = h. Does 2 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 113 = -125. Suppose -s*m = -27*m. Solve m = -t + 3*t - 5*p + 16, p - 2 = t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(-7)\/t))\/t**(-6))\/(t**3*t*t*(t**(5\/4)*t*t)\/t) assuming t is positive.\nAnswer: t**(31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/4)\/((-5)\/20). Let z be (i + 0)*18\/(-12). Suppose 2*v - 5*n = 7 + 34, -3*v + z*n = -48. Calculate the remainder when 37 is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of -w**6\/120 + 4*w**5\/15 - 29*w**4\/24 - 2*w**3\/3 - 2*w**2 + 76*w. Determine a(14).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1179247937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a**2 - 15*a - 4. Let g = 4 + -14. Let k be t(g). Let m be k\/(-126) - 2\/2. Which is smaller: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -586*u + 2848 = -789*u - 1415 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/(-6))\/((-18)\/27). Let h = 2 - w. Which is the nearest to -2\/5? (a) h (b) -1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3821816, -3821795, -3821748, -3821663, -3821528, -3821331, -3821060?\n\"Answer: 2*k**3 + k**2 + 4*k - 3821823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1.2864 * 0.2\nAnswer: -0.25728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 20*q**2 + 90*q + 88. Let o be d(-19). Do o and -0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**3 + 19*a**2 + 18*a = 0. What is a?\nAnswer: -18, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 230923 or 2078320\/9?\nAnswer: 230923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -74c7 (base 13) to base 12.\nAnswer: -9476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -210 - -153. Let b be 38\/(-133)*(1 + l). Solve -51 = -7*p - b for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeeeqqeqeqeeeeeeq. Give prob of picking 4 e.\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 2*h + h. What are the prime factors of h?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 999, 1993, 2989, 3987, 4987, 5989?\n\"Answer: n**2 + 991*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/15 in -4, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 795269643?\nAnswer: 3, 7, 19, 23, 4561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 7*t**2 - t + 10. Let g be j(7). Suppose 3*m - 85 = 5*r, -4*m - g*r + 152 = -0*r. Calculate the remainder when m is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i - 3*i + 0*i)*(-i + 2*i + 0*i) + (-2 - 2*i**2 + 2)*(4 - 4 + 2) + 85 - 85 + 30*i**2 to the form q*i**2 + d*i + x and give q.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -4) + (0 - -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256 is divided by 109.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 6*h - 5 = -h, -3*h = -2*m - 2. Let w be (1 - m\/3)*-36. Find the common denominator of 134\/w*(-57)\/(-38) and 103\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2. Let v(b) = -5*b**3 + 3*b**2. Let h(n) = -12*k(n) + 3*v(n). What is the third derivative of h(j) wrt j?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3906*((-256)\/132 - -2). Suppose 3*m - 3*v - 702 = -0*m, 0 = 3*m - 2*v - 704. Let l = m - i. Calculate the common denominator of -47\/3 and l.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 605*s - 63509. Calculate d(105).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -7\/44?\nAnswer: -7\/44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**5*s**2 - 55073*g**4*s**3 - 4*g**2*s**3 - 6*g**2*s + 227*s**2 wrt g?\nAnswer: -60*g**2*s**2 - 1321752*g*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 153 or 155?\nAnswer: 153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 9:02 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, 1\/3, -3471, 4, 1\/9, -5 in descending order.\nAnswer: 4, 1\/3, 1\/9, -0.02, -5, -3471","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, n: 7, m: 2, r: 5}. Give prob of picking 1 n, 1 e, 1 m, and 1 r.\nAnswer: 175\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17463 is divided by 266.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 9986\/18 + 2\/9. Suppose -3*u + 4*j + 344 + 488 = 0, -2*u + 4*j = -m. Is 36 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/3 - 60155768*f\/3 + 60155770\/3.\nAnswer: -2*(f - 1)*(f + 30077885)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -16*m**2. Let f(z) = 86*z**2. Determine f(l(p)).\nAnswer: 22016*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3315 and 1590095.\nAnswer: 1105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -151 + 223. Let q = k - 31. Suppose q + 129 = 5*u. Is u a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16936785623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2716*t + 1666 = 2667*t for t.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - s = 9 - 0, 0 = 4*n + 5*s + 40. Calculate the common denominator of n\/8*744\/40 and (-194)\/(-40) - 2\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 31*i**2 - 2*i + 63. Give w(31).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 15.4. Let j = w + 1.35. What is the closest to 0 in j, 0.4, 0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -14.265?\nAnswer: 1.4265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + (-116)\/16)\/((15\/25)\/(2064\/60)).\nAnswer: -43\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52308786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(825\/(-45))\/11)\/((-12)\/(-3))?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(7\/2)*u**(-3\/5))\/((u*u*u**(-4))\/u**(-2\/35)) assuming u is positive.\nAnswer: u**(339\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -4*f**2 - 5*f. Let d(o) = -8*o**2. Calculate p(d(y)).\nAnswer: -256*y**4 + 40*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1))**(2\/31)*(s\/s**1)**(-1\/35) assuming s is positive.\nAnswer: s**(-2\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x\/((x*(x\/(x**(-2\/49)*x*x))\/x*x)\/x)*x**(3\/2) assuming x is positive.\nAnswer: x**(437\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, 194, -13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/15 + 2\/5. Let o = 12.9 + -15. Let z = o + 2. Which is the third smallest value? (a) z (b) 0.1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*z + 71 = 1040, 4*z + 2937 = 3*d. What are the prime factors of d?\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92000.61 milliseconds in days?\nAnswer: 0.001064821875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.28, -1\/2, 7 in increasing order.\nAnswer: -1\/2, -0.28, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13324, 11, -3 in increasing order.\nAnswer: -3, 11, 13324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -4*b - 1. Let h be z(-3). Let y(k) = -h*k - 3 + 3 + 12*k. Let v(m) be the second derivative of m**3\/3 + 4*m. Determine y(v(t)).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/7541595 and -59\/2610.\nAnswer: 15083190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 177\/6 + (-15)\/(-6). Suppose -a = -7*h + 80. Let f be h\/6 + (-8)\/(-24). Solve 4*t = f*t + 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/7)\/(200\/(-280))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 275947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -a*n*z**3 + 1575*a*z + 13*a + 111*n*z - 144*z**3 wrt a?\nAnswer: -n*z**3 + 1575*z + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -8987246*r + 9. Let w be p(6). Let i = w + 34823467. Round i to the nearest one million.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**2\/5 - 43*y\/5 + 82\/5 = 0.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 3. Let n = -320667 - -320712. What is the third biggest value in w, n, -0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.12 in -5.7, 0, -2, 0.402?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 555736 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x + 5*x - 2*x**3)*(-2*x - 1 + 1) + 0*x**4 - 4*x**4 + 2*x**4.\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1156, 2673, 5450, 9691, 15600, 23381?\nAnswer: 33238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 4*l**2 - 3*l. Let c be g(5). Suppose -c*y - 12 = -16*y. Solve -4*h = -h + 15, -2*h = y*w + 2 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37624031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 233*r - 227*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/6*(332 - 5)?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 37058?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 3:54 PM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 8*n**2 + 15*n + 16. Let g(w) = w**2 - 15*w + 55. Let q be g(11). What is the hundreds digit of b(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 392*y + 6952*y + 574*y + 727*y.\nAnswer: 8645*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2 + 7*p - 12. Let a be r(-5). Does 3 divide a + -6 - 0 - (-104)\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 82*y**3 - 6*y**2 - 51*y + 5094. Let c(p) = 240*p**3 - 16*p**2 - 154*p + 15281. Let v(q) = 3*c(q) - 8*s(q). What is the derivative of v(l) wrt l?\nAnswer: 192*l**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12288 and 64?\nAnswer: 12288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (4 - 7)\/(4\/2248*-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 12, -1, -7 in descending order.\nAnswer: 12, -1, -2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -574*q + 956 = 382 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, i: 1, y: 4, u: 2, m: 1}. What is prob of picking 1 i, 1 m, and 2 y?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -0.04, 1.37?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.026142788301 to 5 decimal places.\nAnswer: 0.02614","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -31, -108, -247, -460, -759, -1156, -1663?\n\"Answer: -2*x**3 - 19*x**2 - 6*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7024*h + 13940*h - 7732*h to i + v*h and give v.\nAnswer: -816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19 (base 10) to base 12.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 0*j**2 - 2*j**2 + 9*j**3 + 7*j - 4 + 15. Let a = 7 - 4. Let y(b) = 4*b**3 - 7 + a*b - b**2 + 0*b + 12. Calculate -3*i(q) + 7*y(q).\nAnswer: q**3 - q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 1:13 AM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31.8 + -25.86. Let z = -10 - -10.94. Let k = l - z. Which is the biggest value? (a) -2 (b) k (c) 2\/9 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2491*u. Let f(r) = 21*r**2. Calculate l(f(w)).\nAnswer: -52311*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 70.20777 - 70.2. What is b rounded to 4 decimal places?\nAnswer: 0.0078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1301694323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence waac when four letters picked without replacement from wwaawaawaaanaaawncww?\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111 = 3*j + g + 95, 5*g = -6*j - 550 + 132 for j.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 19a6 - 24?\nAnswer: 1982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((((i*i\/i**(2\/7))\/i)\/i)\/i))\/(i**(-11)*i))\/(i*i**(2\/19)*i\/i**(13\/5)) assuming i is positive.\nAnswer: i**(8499\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 400267 = 493*u + 396816 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-448)\/(-35)*(-1665)\/666?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from osooaaaasa. Give prob of sequence ssoo.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 14\/56888975?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40425*t - 19767*t - 20701*t.\nAnswer: -43*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 2 = -2*p, 1 = -p - 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 52 + -37. Let i = a + -14. Let m be (i - 300001)*(-310)\/30. Round m to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/7))**34 assuming x is positive.\nAnswer: x**(-68\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2020\/(-42) + 1 + 0 + 2185\/(-2415)\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3*(sqrt(171) + sqrt(171)*2 + sqrt(171)) - sqrt(171)))\/((6*sqrt(36)\/sqrt(2) + sqrt(18))\/sqrt(2)).\nAnswer: -13*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 302 (b) 7\/3 (c) 1 (d) -3 (e) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(6) + sqrt(6)*2))\/(sqrt(33)\/(sqrt(33)\/sqrt(3))))**2 - (3 + (-5*(0 + sqrt(288)))**2).\nAnswer: -6915","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.314 and -3.\nAnswer: 0.942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1866 = -34*m - 591 + 212 - 135 for m.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (25 + -1 + -10).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-4)*2\/(-6). Let h = -94 + 92. Put 3, h, k in increasing order.\nAnswer: h, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + 3*b + 4. Suppose 5*w + k - 23 = 0, 2*k + 3 = 3*k. Let g be m(w). Suppose 4*z = 2*o + 2, 2*z + 3*o = 6 + 15. Put -3, g, z in ascending order.\nAnswer: -3, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*t + 20*t**4 + 11*t + 19*t wrt t.\nAnswer: 240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 11. Let j = 16 - 11. Let v = j + -5.1. What is the closest to 0.1 in v, l, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {c: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -4*f**3 + 3*f**2 + 3*f + 3. Let q(s) be the third derivative of -s**6\/6 + 7*s**5\/30 + 7*s**4\/12 + 7*s**3\/3 + s**2 - 22*s. What is 28*c(l) - 6*q(l)?\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**3 + 26*n**3 - 15*n**3 - n**3.\nAnswer: 7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.44, -29, -1, 0.01, 4, -0.2 in increasing order.\nAnswer: -29, -1, -0.2, 0.01, 0.44, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-12)*(-3)\/6*22. Let l = 5\/4 + g. Factor -1 - 2\/3*m + l*m**2.\nAnswer: (m - 3)*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1079, 2148, 3213, 4274, 5331, 6384, 7433?\nAnswer: 8478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -4*v, 0*j - 6 = -3*j - 2*v. Suppose 6 - j = y. Suppose 0 = 3*m + 2*u - 22, m - y*m = -u - 14. Is m at most 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*n**3\/13 - 10*n**2 - 44*n\/13 + 14\/13 = 0.\nAnswer: -1, 7\/36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 552*b**3 - 6*b**2 - 11*b + 1605967.\nAnswer: 1656*b**2 - 12*b - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 180 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/3 and -125\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1212\/71 or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30963772.\nAnswer: 2, 7, 101, 10949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -24*a**2. Let l(w) = 2*w**2 + 5 + 3*w - 11 + 3. Let t(g) = 3*g**2 + 4*g - 4. Let b(q) = 4*l(q) - 3*t(q). Calculate b(i(r)).\nAnswer: -576*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12588923?\nAnswer: 73, 331, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/8 + 11\/4. Differentiate -4*u**c + 3 + 25*u - 25*u wrt u.\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2459)\/33 - 4\/(-22). Let y = i + 74. Which is the third biggest value? (a) 2\/7 (b) y (c) 0.2 (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1227390*b**4*z + 30955*z + 18 wrt b.\nAnswer: -4909560*b**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b*b**(-6\/11))*b**(2\/9)*b)**(-4\/11)*b**3*b*b*b**2\/b*b*b*b**(1\/7)*b**(-1) assuming b is positive.\nAnswer: b**(52322\/7623)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -1. Let s(g) = -5*g + 5. What is -s(a) - 5*z(a)?\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -16?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*x + 2900 = 202*x + 129*x - 518*x for x.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 11021202120210?\nAnswer: -11021202120201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 651 and 171.\nAnswer: 37107","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b - 2*b + b**2 - 3*b.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 116, -6, -0.4, -4, 5 in decreasing order.\nAnswer: 116, 5, -0.4, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338 is divided by 86.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000876124592 rounded to six dps?\nAnswer: -0.000876","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 154*(162\/252 + (-2)\/14). Let z be 5\/(-1)*-3*5. Let q = y - z. Solve 2*m - 25 = 5*v + 3*m, 0 = -q*v - 5*m - 10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.48 or -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by 47.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 12\/31?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 13 (b) -6 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -4*w - 34, w = -v + 3*v + 11. Let g = v + 4. Let a = g - -50. What is the greatest common factor of 6 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 800\/132 + -4 + (-50)\/25.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 4*w + t, 5*w - 16 = 4*t + 1. Suppose -5*n - 3*d + 80 = 0, n = -w*d + 17 + 21. Solve 5*j + n = x, -6*x = 4*j - x - 7 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 10*x**2 + 2546*x + 25719. What is k(-10)?\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62768335 divided by 2573.\nAnswer: 24395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 220450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1136930559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 f when four letters picked without replacement from {f: 4, j: 4, w: 6, r: 3}.\nAnswer: 4\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -108 - -117. Suppose -3*b = -f, -4*x + 48 = 4*b - 964. Is x a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 180?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7910.79cm to millimeters.\nAnswer: 79107.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 448492 and 308?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(0*g - g + 3*g)*(4*g + 2 - 2)*(3*g**3 - 3*g**3 - 2*g**3).\nAnswer: -16*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 d when two letters picked without replacement from {d: 3, o: 1, y: 4}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -431*a + 6. Let b be q(1). Let l be (-3)\/12 - b\/20. Let m be 10\/(-4)*(-6)\/5. What is the greatest common factor of m and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002329867776 to 5 dps.\nAnswer: -0.00233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -111.5*0.5\nAnswer: -55.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 11*m**2 + m - 8. Let y be h(11). Suppose -y*t + 2*q = -150, -q + 50 = t - 2*q. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17749, 21645, 25541?\nAnswer: 29437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, h: 5, c: 3, w: 2, s: 2}. What is prob of sequence sch?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**3 - 8*l**2 + 3*l - 2. Let h be w(6). Suppose -4*u - 2*z = -106 - 12, 5*u + 5*z = h. Suppose -3*d - u = -4*d. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -12. Suppose 292 = b + 3*s, -4*s = -1 + m. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -29*g**6\/360 - g**4\/6 + 8*g**3 - 10. Let c(t) be the third derivative of k(t). Differentiate c(d) wrt d.\nAnswer: -58*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 15679?\nAnswer: -1\/15679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -8. Find the common denominator of 73\/14 and 150\/40*(-3)\/q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 390\/105 - 4\/(-14). Solve l*a + 3 = -13 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -1\/6, -60, -4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-38)\/114 - ((-627)\/225 + 2) and -61\/33.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -1. Suppose m = -2*w + 6*w + 8. Let b = w + 101. Calculate the highest common factor of 9 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(176) + 1)*6)**2.\nAnswer: 288*sqrt(11) + 6372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10291106 is divided by 368.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - 0*c + o - 33 + 30, 21 = -3*c + 3*o for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8967249*m**2 - 30697817 wrt m?\nAnswer: -17934498*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.51 + -607322308264?\nAnswer: -607322308263.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qht when three letters picked without replacement from {s: 1, h: 1, e: 5, t: 1, q: 1}.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9314?\nAnswer: 2, 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 3*v - w, 3*v - 4*w = -2*v + 48. Does 11 divide (-1*v)\/((-2)\/8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 340*d**2 - 2*d**3 - 174*d**2 - 490 - 3 - 216*d**2 - 305 wrt d.\nAnswer: -6*d**2 - 100*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6180 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -499, -460, -427, -400, -379, -364, -355?\nAnswer: -352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 2279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 304 + -298. What is the lowest common multiple of v and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -86512*c**4 + 232692 wrt c.\nAnswer: -346048*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10858 + -9670. Does 10 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*r = -28*r + 54. Suppose 0 = -2*x - 1 + 105. Calculate the remainder when x is divided by r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/(-15) - (0 - 20). Solve -20 = 5*s + 2*y, -4*s - i = 4*y + 9 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5*v + 2 = 0, 0 = -4*y + 3*v + 2*v + 34. Let p be (-100)\/16 + y - (-2)\/8. Solve p*j = j - 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l + 10*l - 16*l**2 - 6*l.\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 14*u - 68. Let r be d(6). Let z(l) = 4*l**3 + l - 2. Let k be z(2). Let q = k + r. What is the lowest common multiple of q and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.0761, 1\/7, -5, -5\/4 in decreasing order.\nAnswer: 0.3, 1\/7, 0.0761, -5\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -17*v + 83. Let n be x(-4). Suppose -2*p = -0*y - 4*y - 76, 3*y = -5*p + n. What is the least common multiple of p and 28?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17 + -2313?\nAnswer: -2285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 185 + 195. Solve 2*w - 3*u + 1 = 0, -5*w + 2*u - 13 = -p*u for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(2736)*-4*4 + (1*sqrt(2736) + 0 - (sqrt(2736)*2 + sqrt(2736) + -1)) + 2)*1)**2.\nAnswer: -3600*sqrt(19) + 6840009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11d (base 15) to base 12.\nAnswer: -191","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 e, and 1 v when three letters picked without replacement from gsvevrgxrrssgv.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 520ce8b2 - 2?\nAnswer: 520ce8b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10323252?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 14*b + 33*b + 36*b.\nAnswer: 83*b + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/14 - 24\/(-14). Let k(q) = 0*q**3 + 0*q + q**3 + 5 + w*q**2 + q + 8*q**2. Let l be k(-5). Round l to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 21 = -p. Let t = -112 + 119. Suppose 0 = n - u - 1 + t, -2*u = n + 9. Is n not equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6169 is divided by 390.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/16197 - -32384\/80985. Let t = -34 + 33.6. Which is the closest to 19? (a) -2\/11 (b) -2\/17 (c) o (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4870 divided by 10\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3620 and 0.112?\nAnswer: -405.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 22 = -2*h, h - 50 = -5*l + 6*h. Let u(x) = 2*x + 2. Determine u(l).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 9.5.\nAnswer: 9.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94 + r**2 + 190 - 25*r - 96.\nAnswer: r**2 - 25*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 30) + 15 - (-4 - 6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*s - 15*s - 7*s**4 - 2*s wrt s.\nAnswer: -84*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2754?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1096468 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62671 (base 12) to base 3.\nAnswer: 20112201011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g - 16*g = -180. Find the third derivative of -90 + g + 27*r**5 + 25*r**2 wrt r.\nAnswer: 1620*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -820 at most as big as -12304\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 7 = 1. Find the third derivative of b*c**6 - c**2 - 3*c**2 + 6*c**2 - 5*c**6 wrt c.\nAnswer: -120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.89 + -1.89. Do -0.101 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3*v + 3 + 12 = 0, -3*g = -v - 10. Suppose i = 8 + g. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 17*j - 48. What is v(4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 1, 2\/13, -5, -14?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*b**2 - 11*b**2 + 7*b**2.\nAnswer: 32*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/(-35) + 1623\/(-15). Is (-1)\/(5 + -1) + (-9423)\/n a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8.7, -31, -2\/11, 0, -9, -0.1 in descending order.\nAnswer: 8.7, 0, -0.1, -2\/11, -9, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 3.7. Let i = -238 - -240. Which is the second biggest value? (a) k (b) -0.3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 6*q + 133. Let v be k(-18). Let z(y) = 312*y - 31. Is z(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 119*b - 17. Does 65 divide v(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u + 14. Let o be d(8). Suppose 5*t = -4*r + 2*r - 7, 3*r - 5*t - 2 = 0. Put 3, o, 1, r in descending order.\nAnswer: 3, 1, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106362?\nAnswer: 2, 3, 19, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4*-77.714625\nAnswer: -310.8585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, d: 1, f: 1, i: 2}. What is prob of picking 1 d and 1 f?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 9*m - 44. Let b(i) = 3*i**3 - i**2 - 3*i - 1. Let n be b(2). What is the least common multiple of o(n) and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 g when two letters picked without replacement from gamamaagaea?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**2 + h + 4. Let l(f) be the first derivative of f + 4. Give -b(m) + 4*l(m).\nAnswer: -2*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 15795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*n**3 + 80 - 18 - 22 - 16 - 26.\nAnswer: -19*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 5011733?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 360, 6, -0.3, -12.\nAnswer: -12, -0.3, 6, 360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 less than -25507.54009206?\nAnswer: -25516.54009206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -294 = -p - 2*i, 4*p + 3*i - 518 = 683. Is 8 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44391 - 26922. List the prime factors of j.\nAnswer: 3, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2831912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 20*s**2 + 3*s + 11. Let c(m) = 7*m**2 + m + 4. Let j(n) = 17*c(n) - 6*t(n). Let g be j(6). Let f = -16 - g. Does 12 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4.51 and 486.\nAnswer: 481.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*o**2 - 27*o**3 - 25*o**3 - 10*o**2 + 9*o - 29*o**2 as p*o + k + q*o**3 + j*o**2 and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.2, -0.7, -9, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -6, -182 in ascending order.\nAnswer: -182, -13, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2730.8936 rounded to the nearest one hundred?\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3093995 a multiple of 1027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 16*f - 31. Let g be q(13). Let l = 5 - 0. Suppose g*i = l*i. Solve i = -3*r + 7*r + 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4 + 4*s**3 - 11*s**2\/2 - 33*s\/2 - 9.\nAnswer: (s - 2)*(s + 1)*(2*s + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**6 - 511*a**4 + 68*a**2.\nAnswer: -120*a**3 - 12264*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 351 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + b**2 - 4. Let i be q(0). Let p(n) be the third derivative of -n**5\/60 - 2*n**3\/3 + n**2. Let m be p(0). Is m less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -618 divided by 1?\nAnswer: -618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -12 + (-3 + 2 - 0). Let x be n\/25 + (-18)\/(-30). Which is greater: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3937 and 1271.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 144191.985 hours to weeks.\nAnswer: 858.285625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 301716 a multiple of 289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171)*1*5 + sqrt(171))\/(sqrt(27)\/sqrt(3)*1) - -5*(1*sqrt(1900) + -4))**2.\nAnswer: -2240*sqrt(19) + 59984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 153251 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 488939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1156551\/(-3123)*(-15)\/55?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(21)*3)\/sqrt(3))**2 - (sqrt(21)\/sqrt(12))**2) + (sqrt(84)*2*3)\/(2*sqrt(24)\/sqrt(2)).\nAnswer: 3*sqrt(7) + 245\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -11*m**3 + m**2 + 5*m + 4. Let u be s(-2). Suppose 87*d - 6 = u*d. Which is the biggest value? (a) d (b) -3\/4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 198 and 4426038.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/(-18) + (-2135)\/10. List the prime factors of 7 - (-8 + 0 + x).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 899276.4 millennia?\nAnswer: 899276400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47273 is divided by 326.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7637, 30644, 68989, 122672, 191693, 276052?\nAnswer: 375749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 = 2*f - 924. Is 27 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1236883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*l - 17*l + 29*l - 167 - 509 for l.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4791, 4756, 4705, 4632, 4531?\n\"Answer: -d**3 - 2*d**2 - 22*d + 4816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -394405 divided by 5.\nAnswer: -78881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.94 + -11. Let m = d + -0.04. Round m to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -611 (base 7) in base 5?\nAnswer: -2202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*r = 0. Is -3\/10 at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/((-5)\/80*-4). Suppose 0 = -j*a - 57 + 537. Is a a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59\/14 bigger than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in six fifths of a milligram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 5:11 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 2*d, -4*d = -2*d - u. Solve 5*i + 6*f - 8*f + 14 = d, 0 = -5*i - 5*f for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 times 1?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3731647?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 44 + -1?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 7 + 8. Solve 4*f + 3*y + 2 = 2*f, 0 = -5*f + a*y + 37 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 181 + 3599. Does 28 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 6 = -9, 3*u + 1 = -c. Let a(h) = -10*h + 5. Let t be a(u). Suppose -4*n = -19 - t. 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 1.6 times -13989.477?\nAnswer: -22383.1632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1957\/(-532)*(-5)\/20 and -53\/80.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -113*n**2 - 3 - 7 + 93*n**2 + 20*n - 5*n**3. Let j(d) = -d**4 - d**2 - d. Let a(s) = -i(s) + 5*j(s). Factor a(l).\nAnswer: -5*(l - 1)**3*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5036661 (base 10) to base 11\nAnswer: 2930133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45150 and 51772?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -4*m - 11. Let u be v(3). Let k = 44 + u. Suppose k*b + 80 = 26*b. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/8*2\/(-12))\/(-15). Let c(z) be the third derivative of -2*z**2 - 1\/630*z**7 + 0*z + 0*z**5 + 0*z**4 + a*z**6 + 0*z**3 + 0. Let c(t) = 0. Calculate t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 - 17585706*c - 52757109.\nAnswer: -(c + 3)*(c + 17585703)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8531 + -8530.2. Which is the nearest to 0? (a) 0.3 (b) t (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 453 a factor of 9049637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -740, -4, -3, 4 in decreasing order.\nAnswer: 4, 2, -3, -4, -740","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/(sqrt(100)\/(2*sqrt(10)) - sqrt(10)).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/4 of a millimeter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2605041 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - (-3 - (-1 + -2)). Let j be 2\/(-3) + (-6)\/(-9). Solve j = -2*n + x*n - 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**3 + p**2 - 2*p - 7. What is u(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.6984 + 0.3984. Put -1, h, 28 in decreasing order.\nAnswer: 28, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 389018491 to the nearest integer?\nAnswer: 730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-396)\/(-33))\/(-3*(-2)\/(-3))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1042105196.\nAnswer: 2, 11, 1321, 17929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, 6115, 0.095, -0.1, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -74 - -125. Suppose -1 = -2*m + a. What are the prime factors of m?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -2*t - 2*h - 8, 4*t = -3*h - 21. Put 1, -4, 0, t, -3 in decreasing order.\nAnswer: 1, 0, -3, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 - 31883*u - 3326648.\nAnswer: (u - 31987)*(u + 104)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-2))\/((-15)\/(-30))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -1624*i**2 + 444*i + 16. Let n(b) = b. What is a(n(k))?\nAnswer: -1624*k**2 + 444*k + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 982, 1626, 2708, 4234, 6210?\nAnswer: 8642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l**2 + 0*l**2 - 4*l**2)*(-2*l**3 + l**3 + 4*l**3) - 14*l**5 + 42*l - 42*l.\nAnswer: -11*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1726, -3457, -5186, -6913, -8638?\nAnswer: -10361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 344, 353, 362?\nAnswer: 371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -66\/1499?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2218925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h**4 - 151*h**3 - 4*h + 7*h**4 + 2*h - 3*h**4 + h**4 - 3*h**2 to d*h**4 + z*h + j*h**3 + k*h**2 + p and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*t - 217*t - 71*t + 21602048 = 0. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 29.17656 milligrams?\nAnswer: 0.00000002917656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 60467133209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2432 - 6525 = 1192*a + 3059 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5c6a (base 14) to base 9\nAnswer: -24152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1392 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1610981 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 48*n**3 - 5*n**2 + n + 3. Let b be (2\/(-3))\/((-45)\/270). Is a(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2)*(4 - 35 + 13)*((w + 1 - 1)*(1 - 5 - 1) + 1 + 2*w - 1 + w + 0 + 0).\nAnswer: 72*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 24*-502492\nAnswer: -12059808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 162.87 + -163. Let y = -0.1373 - h. What is y rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -1 - 7\/2*f**2 + 0*f**4 - 1\/10*f**5 + 3*f + 0*f**3. Let a(y) be the first derivative of p(y). Differentiate a(z) wrt z.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 108*u**5\/5 + 11344248*u**4\/5 + 3781392*u**3\/5 - 1260472*u**2\/5 - 420156*u\/5 = 0.\nAnswer: -105039, -1\/3, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53 or 592.8?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5*x + 59 = 0, 5*k - 6*x = -9*x - 83. Put -3, 1, 3, k in ascending order.\nAnswer: k, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8871395 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 384 = 4*s + 156, s = w + 56. What is the highest common factor of 12 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, -1\/2, -5, -5296 in ascending order.\nAnswer: -5296, -5, -1\/2, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14*(30\/14 - 3). Let h = 151 - 276. Calculate the common denominator of 101\/2 and (-7)\/m*h\/7.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in 0.25, -8, 2, -0.0471, 1\/6?\nAnswer: -0.0471","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1578e1 (base 16) in base 12?\nAnswer: -57a429","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*w**5 - 3*w**4 + 2169*w**3 - 21011688*w**2.\nAnswer: -240*w**2 - 72*w + 13014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 9:42 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 13.7899 and 76.\nAnswer: 89.7899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 + 34 = -4*r. Suppose r*p + 8561 = 2*t, 17123 = 4*t - 3*p - 2*p. Suppose 0 = -4*o + 3*f + 9914, -3*o + f + 3151 + t = 0. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddmsfwmmdwssdms. Give prob of sequence sdfm.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 77.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1549208246?\nAnswer: 2, 29, 26710487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7872229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of 136*u**3\/3 + 2*u**2 + 6*u + 233. Find the second derivative of h(n) wrt n.\nAnswer: 272","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-6\/11)*i*i**(-1\/4))\/(((i*i\/i**3*i)\/i)\/(((i**8\/i)\/i)\/i))*i\/(i**8\/i)*i**(-3\/7)*((i**(-1\/5)*i)\/i)\/(i*i**(1\/3)\/i*i) assuming i is positive.\nAnswer: i**(-8119\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 6 - -2 - (14 + -2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 j, and 1 n when four letters picked without replacement from {n: 2, u: 4, j: 8}.\nAnswer: 96\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 458 a factor of 18400150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 110 (c) 6 (d) -1.2 (e) -0.2 (f) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -14*q + 3. Let t be b(-3). What is the greatest common factor of 9 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3164 = 219*b - 2092 for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -z**4\/48 + z**3\/6 - z**2\/2 - z + 1. Factor i(d).\nAnswer: -(d - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 19984*s - 6158*s - 5 + 7458*s + 17. Let v be w(7). Round v to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 74.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(-1)\/2*0\/(-24). Let x(s) = -63*s + z - 861*s**2 + 62*s + 2. Let p be x(6). What is p rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-24))\/(3040\/(-1368)).\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -8*a + 9*a + 2, -3*a - 3*k + 21 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1 + sqrt(2736) + sqrt(2736)) + (sqrt(2736)*1 - sqrt(2736))*2 + -2 + -5 + 5 + 2)**2.\nAnswer: 48*sqrt(19) + 10945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g = 12*g + 11 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1346554 rounded to two decimal places?\nAnswer: 2.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -24?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 335.\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/4 (b) -23 (c) -3 (d) -0.067733\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y**2 + 39*y - 47. What is q(12)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-3)\/2)\/((-291)\/30070) is divided by 34?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 389?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(6\/(-4) + 1). Differentiate 9*q**r - 3*q**4 - 6 + q**4 with respect to q.\nAnswer: 28*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by -272640?\nAnswer: -1\/13632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6 times -1.58\nAnswer: 9.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 317, 319, 321, 323, 325?\nAnswer: 327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2215020 and 32495?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millisecond in microseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -74428 divided by -74428?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3*2*1)\/((-315)\/30). Let w be (-2)\/4 + 10\/(-8). Which is the nearest to 0.1? (a) n (b) w (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23292 and 684.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 10 = 6*k. Factor 18*w**5 - 2*w**2 + 0*w**k - w + 0*w + 2*w**4 - 17*w**5.\nAnswer: w*(w - 1)*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*v + 2*k, -2*k - 3*k = 3*v + 15. Let u be (6\/4)\/((-6)\/(-16)). Suppose 0 = -4*a - 0 + u. Which is smaller: a or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -438 + 1316\/3. Let g(i) be the second derivative of -7\/15*i**6 + 1\/5*i**5 + 0 + 7\/6*i**4 + 0*i**2 - d*i**3 + 4*i. Factor g(p).\nAnswer: -2*p*(p - 1)*(p + 1)*(7*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/106488 and -25\/11832.\nAnswer: 106488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 2035*p + 169474. Give g(87).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (760\/150 - 45\/9)*4*1?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - 3\/(5 + -2). Suppose j*u - 26 = -2*l + u, -5*u + 20 = 0. Suppose 30 - l = -3*a. Put -3, 7, a in ascending order.\nAnswer: a, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(144)\/sqrt(3) + sqrt(48) + -5 - (((sqrt(432) - (sqrt(432) + 1))*-6)**2 + sqrt(432)).\nAnswer: -41 - 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 134, 134, 136, 140, 146, 154?\n\"Answer: u**2 - 3*u + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -11*j**2 + 2*j + 8. Let c(h) = 5*h**2 - 4*h - 1. Let p(x) = -7*c(x) - 3*v(x). Calculate p(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -10*o**2 + 3*o + 2. Let v be z(-1). Sort -4, -5, v in decreasing order.\nAnswer: -4, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 k when two letters picked without replacement from {a: 2, k: 4, h: 1, u: 1}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 12:38 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = n + 11, n = 4*k - 2*n - 23. Suppose -6*b + 2*b = k*l - 114, 5*b + 15 = 0. What are the prime factors of l?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2284851 + 31966267\/14. Let g = 1544 + p. Find the common denominator of ((-26)\/91)\/(144\/2996) and g.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y**3 - 74 - 12*y + 4*y**3 - 11*y**3 + 35 + 14*y to the form w*y**3 + l + f*y + r*y**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -1\/270*b**6 + 1\/270*b**5 + 1\/945*b**7 - 44*b**2 + 0*b**4 + 0*b**3 + 0*b + 0. Factor j(r).\nAnswer: 2*r**2*(r - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -7479?\nAnswer: -5\/7479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1070*w**2 - 305*w**3 - 82*w**2 + 66*w**3.\nAnswer: -239*w**3 - 1152*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1038971711 to the power of 1\/2, to the nearest integer?\nAnswer: 32233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(2057) + 2.\nAnswer: 4 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1946273011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -0.2, -5\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/65)\/((-142)\/(-355)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 511592 (base 12) to base 2\nAnswer: 100110101011011111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -6, 1, 4 in decreasing order.\nAnswer: 5, 4, 1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24645?\nAnswer: 3, 5, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(17\/6)\/h**16 assuming h is positive.\nAnswer: h**(-79\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, v: 6, x: 1, s: 1, b: 7}. What is prob of picking 1 x and 1 v?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 11:44 PM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 2*i**3\/3 + i + 1. Let t be 3 + 3\/((-15)\/20). Calculate v(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4437*m. Let c(s) = s. Calculate c(j(z)).\nAnswer: 4437*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316 is divided by 62?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -18.6747 and 715.\nAnswer: 696.3253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68931 is divided by 811.\nAnswer: 807","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*d - 62 = 0, -4*v - 4*d + d = -57. Suppose 4*s = -0 - 0. Suppose 5*r = -s*r + v. Solve 5*z + 12 = r*j, 0*z + 2*j - 1 = z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 4*c**5 + 924*c**4 - 44468*c**3 + 388836*c**2 + 2118208*c + 2310672 = 0.\nAnswer: -273, -2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 1, 1\/9, 4, -1\/3, 2.\nAnswer: -25, -1\/3, 1\/9, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 146262.10894 rounded to 0 dps?\nAnswer: 146262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + 20*b + 1. Let q be c(17). Let j = q + -50. Solve j*k + 0*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1201244332 - 10?\nAnswer: -1201244342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2781, 11098, 24889, 44094, 68653, 98506?\nAnswer: 133593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4445 and 5542026?\nAnswer: 889","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5, 14, 29, 50?\n\"Answer: 3*v**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3554*u**6 + 11*u**4 + 319*u**2. Let b(q) = 711*q**6 - 2*q**4 - 64*q**2. Let n(a) = 11*b(a) + 2*j(a). What is the third derivative of n(p) wrt p?\nAnswer: 85560*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -35*i**3\/6 - 45*i**2\/2 + i - 33. Is 20 a factor of s(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 234 and 390.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*u**4 + 37*u**4 + u**2 - 2*u**3 - 15*u**2 as a*u**4 + y*u**2 + i + j*u + l*u**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/525*3\/2\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 157731*r**5 + 107505*r wrt r.\nAnswer: 3154620*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -199\/326610 and 173\/300.\nAnswer: 3266100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 2 in increasing order.\nAnswer: 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifty-nine fifths of a milligram?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**4 + 3*g**3 + 3*g**2 + 5*g - 106. Let s(z) = z**4 - z**2 - z - 1. Let o(q) = f(q) + 3*s(q). Find the second derivative of o(l) wrt l.\nAnswer: 48*l**2 + 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -254*i**2 - 5070*i**3 + 5071*i**3 - 65*i**2 to h*i**3 + b + l*i + x*i**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2829*q**3 + 2*q**2 - q - 188132 wrt q.\nAnswer: -16974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of y**6\/40 + 11*y**5\/20 - 3*y**4\/2 - 431*y**2. Solve f(i) = 0 for i.\nAnswer: -12, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 869887387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7823\/4 + -1956. Sort -0.4, 5, 0.2, c.\nAnswer: -0.4, c, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n - 11. Let r be t(-5). Suppose -6*y + r*y + 2*j + 16 = 0, 3*y = -3*j + 24. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6161 at least as big as 6163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -5*t + 25, 0 = 3*t - 5*t + 5*w + 33 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 - 2397*l + 146376.\nAnswer: -3*(l - 57)*(l + 856)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2637407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100100 (base 2) to base 12.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 13*k - 30. Let a be y(-18). Let l be 4\/18 + 1\/((-27)\/a). Is l not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-6))\/((-10)\/45)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27379422 by 826.\nAnswer: -33147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -28*v + 23*v. Suppose i = v*x + 122, -11 = -i + x + 117. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53332 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-66)\/(-44)*64\/6. What is the units digit of -40*6*r\/(-30)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-14)\/(-2 - 5))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0.02 (b) -72\/11 (c) -2\/35 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 3:17 AM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17.4 + -21. Let c = -0.008088307 + -3.591914393. Let z = c - j. What is z rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8465 + 8391. Which is the third smallest value? (a) -3\/7 (b) -1 (c) s (d) -5\/3 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -m**6\/42 + m**4\/7 - 2*m**3\/21 - 3*m**2\/14 + 2*m\/7 - 36. Factor k(b).\nAnswer: -(b - 1)**3*(b + 1)*(b + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1131a - -1?\nAnswer: -11319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 12. Let s be 1*u\/((-15)\/6). Suppose 8000000 = 5*k - f, 4800000 = 3*k - s*f - f. What is k rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 630411179.\nAnswer: 751, 839429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-174)\/(-45) + (-4)\/(-30). Suppose 5*l - 5 = g*l. Solve 5*y + 15 = l*t, -2*t - 1 = 3*t + 3*y for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) -36 (c) -2 (d) 4\/3 (e) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1127334 and 128.\nAnswer: -1127206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3190589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1089379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2. Let k(a) = -3078*a. Let c(q) = -53*q. Let g(t) = 234*c(t) - 4*k(t). Determine m(g(h)).\nAnswer: 8100*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -0.4 (c) -0.1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -60\/5832491 and -61\/322399.\nAnswer: 64157401","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-62)\/(-4))\/(2\/4). Let i = s - 6. Calculate the remainder when 73 is divided by i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, 3, 6, -1, -441, -2 in decreasing order.\nAnswer: 34, 6, 3, -1, -2, -441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14726 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-two fifths of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -3 (c) -125\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -115)*(-10)\/(-30) - 11\/((-297)\/(-18))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23595 + 0.164.\nAnswer: 23595.164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -4*z - 4*n + 4, 2*n = -3*z + 4. Let f(w) = -w**3 + w**2 + 251. Is f(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80)\/(8\/(-1))*2\/(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 5*s + 21. Let u be o(-5). Let v = 33 + u. Suppose -2*r + v*j = -76, 5*j = -0*r + 5*r - 175. Is 8 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*y = 6, -2*v + 5*y + 26 - 59 = 0. Let b = 7 + v. Suppose b = -2*g + 13. Solve 4*f + g = -5*k + 20, 0 = -2*k + 4*f - 22 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2214 and 82.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 22\/(-6) - (-14)\/21. Let p = q + 7. Let o(s) = -s**2 + 9*s - 5. Let d be o(p). Solve 5*r = -0*r - d for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 1430*m**2 - 5*m + 12. Let f be d(2). Suppose -33*w + f = -284. Calculate the least common multiple of 6 and w.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 times -2?\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*p - 3990 = 3914. Is p a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 187900757?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20603309 is divided by 130?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7)\/(63\/(-2)) - (6157184\/(-99) + 5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 484*x = 673*x - 195*x + 180 for x.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26826 or -64?\nAnswer: -26826","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -19*w - 53. Let o be l(-3). Solve 5*t - 45 = 4*p, o*p - 2*t + 17 = -13 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 818834388, 818834389, 818834390, 818834391, 818834392, 818834393?\nAnswer: 818834394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 83486549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**2 - 1356*b + 2651 + 7*b**2 + 605 - 264*b - 10*b**2 = 0. What is b?\nAnswer: -407, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2057 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -36*h**3 + 212*h - 2157669?\nAnswer: -108*h**2 + 212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.103062*72.2\nAnswer: -7.4410764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -4*j - 3. Let k(c) = -7*c + 0 + 3*c - 4. Let a be (-1)\/3*-3 - 4. Let s(m) = a*k(m) + 4*i(m). Let p(u) = -3*u. Calculate p(s(n)).\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + h + h**3 + 31*h**2 - h - 11.\nAnswer: h**3 + 31*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(-70)\/(0 + 2). Let n = l + -75. Let v be ((-6)\/4)\/(12\/n). Which is the closest to 1\/2? (a) v (b) 2\/3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**4 + 5*a**3 - 16*a**2 - 68*a - 48 = 0.\nAnswer: -6, -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1442005249 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -479*j**3 - 152394*j + 152394*j - 16.\nAnswer: -479*j**3 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7827841 is divided by 244619?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3135 + 3135 + 2*i. Let k(t) = t**2. What is f(k(x))?\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6702733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c**4 - 29*c**3 - 110*c**2 - 10. Let n(h) = -4*h**4 - 28*h**3 - 111*h**2 - 12. Let u(t) = 6*j(t) - 5*n(t). Find the third derivative of u(g) wrt g.\nAnswer: 48*g - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 - 2 - (0 + 1). Let j(v) be the third derivative of v**5\/120 - v**3\/3 - 2*v**2. Let o(k) be the first derivative of j(k). Calculate o(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yywyyyyyyyyy. Give prob of picking 1 y and 1 w.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.120968kg in milligrams?\nAnswer: 7120968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) -3 (c) 5\/8 (d) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of r**5\/30 + r**2. Suppose 28*w = 6*w. Let j(b) = 2856*b - 2857*b + 0 + w. Determine j(i(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20122223203 (base 4) to base 7.\nAnswer: 24516520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2080547617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -783*i**2 + 783*i**2 - 8*i**3.\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -70 - -112. List the prime factors of ((-690)\/90)\/((-1)\/i).\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (440\/(-60))\/((-2)\/12 - 0). What is the first derivative of 4 - 38*q - n*q + 15 - 16 wrt q?\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*g**2 + 4731*g - 289338.\nAnswer: -3*(g - 166)*(6*g - 581)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -350 + 362. Factor -39*z**2 + 3*z + 11*z - 5*z + 6*z**3 + l*z**2 + 12.\nAnswer: 3*(z - 4)*(z - 1)*(2*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 - -10010010010111100111?\nAnswer: 10010010010111011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**2*k*w**3 - 39215*b**2*k - 2*b**2*u - 8*b*k*u*w**3 - 48*b*k*u - 70*b*u*w wrt b.\nAnswer: 4*k*w**3 - 78430*k - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 144, 333, 522?\n\"Answer: 189*l - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 5*l + 8 + 2, 0 = -4*l - 4*m + 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1363 + 1358. Let x be (-1)\/4 + 11\/(-20). Which is the fourth biggest value? (a) x (b) 2\/9 (c) q (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11621?\nAnswer: 11621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of 19*l**3\/3 + 211. Let y(d) be the third derivative of d**5\/20 - d**2. Give m(y(n)).\nAnswer: 171*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a0 + -55?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 + (-99 - -35 - 6).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4 = q. Let s(v) = -2*v**2 + 2*v. Let o be s(q). Let l be o*(2 - 14\/6). What is l rounded to zero decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -33 + 100. Suppose -5*i + 87 = -0*z + 3*z, -p = -4*i - 5*z. Calculate the greatest common factor of 9 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*y = -y + 3, -4*u + 5 = 5*y. Suppose -2*j + u*j = 0. Factor -3\/5*t**4 + 0*t**3 + 3\/5*t**2 + j + 0*t.\nAnswer: -3*t**2*(t - 1)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1353 + 1402. Solve -7 = -y*l + 42*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101332211330 (base 4) to base 11.\nAnswer: 27298aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u + 10. Let c be v(10). Solve 5*t - t = c for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2377.4603 and 5?\nAnswer: -11887.3015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/9*3*69. Suppose -83 + l = -4*c. Solve -4*b + 2*n = -28, 7*n - 2*n + c = -b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 4*p**2 + 0 - p**2 + 1 - 14*p**4 + 3*p + 0 as o*p**2 + r + y*p + a*p**4 + l*p**3 and give a.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5087636*n + 5087323*n + 9390 = 0 for n.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3357*b + 14212 wrt b.\nAnswer: -3357","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**4*s**(-2\/7)\/s)**(-5) assuming s is positive.\nAnswer: s**(-95\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 151065, -31, 5 in ascending order.\nAnswer: -31, 5, 151065","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 5*p**5\/6 - 22865*p**4\/2 - 205855*p**3\/6 + 114345*p**2\/2 + 102925*p\/3 - 45740 = 0.\nAnswer: -4, -1, 1, 13722","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) + 1*sqrt(1584))**2 + sqrt(1617)\/sqrt(3).\nAnswer: 7*sqrt(11) + 6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011010011111100100 (base 2) in base 4?\nAnswer: -1122133210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5*l + 24 = 0, 3*p + 2*l + 3 = -2. Let z = p - 1. Let b = 0 - z. Is -2\/9 not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**3 - 6*f**2 - 7*f**2 + 13*f**2.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 115*q - 115*q + 12*q**2 to the form a*q**2 + j + i*q and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (216 - (61 - -50)) + -47?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 133\/24, -18, 0.5?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by 253.\nAnswer: 16\/253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -5*o + 3*o - 3*o + 2*o. Let v(q) = -q. Suppose -5*x + 37 = -3*t, 23 = -x + 28. Give t*i(w) + 7*v(w).\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-3*(-3)\/(-9)). Suppose -32 = -i*k + 3*k. Is 12 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 20 = 3*a - 15, 2*b + 7*a - 25 = 0. Let u(i) = 2*i**3 + 11*i**2 + 5*i - 5. Give u(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (47\/((-987)\/(-14)))\/((-2)\/(-25))\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.13 and -0.163?\nAnswer: -0.02119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.695 - 0.6948226. Round i to 5 dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 763 is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + u + 4. What is the units digit of b(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 188 + -98. Let n = q - 87. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19210317?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 4*t - 4 = 0, -5*y + 3*t = -34 + 7 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13 is divided by (-1)\/(-4 + (-33)\/(-9)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**4 + 69*u**3 - 102*u**2 - 3264*u + 9504.\nAnswer: 3*(u - 4)**2*(u + 9)*(u + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2670923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*x - 452 + 116. Sort x, 1, 0 in descending order.\nAnswer: x, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47933556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 96.1 (b) 23 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9537244ml to litres.\nAnswer: 0.0009537244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 268614997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1037, -7105, -23657, -55961, -109285, -188897?\n\"Answer: -878*l**3 + 26*l**2 - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**3 + 1105*c**2 - c**3 + 182 + 7 + 79.\nAnswer: -2*c**3 + 1105*c**2 + 268","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 5:10 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d - 1. Let b(g) = -2*g + 21. Let z(t) = -2*t + 21. Let a(y) = 3*b(y) - 2*z(y). Let j be a(10). Determine c(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.41 - 4.21. What is the third smallest value in 3, k, -0.55?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -15*c - 9. Let r(x) = 7*x + 4. Let g(u) = 6*j(u) + 11*r(u). Let k be -11 + 0 + 0 + 6. List the prime factors of g(k).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 12, -f + h = 2*f - 13. Let l(b) = -2*b. Let q be l(f). Let j be 95\/20 - q\/(-8). Solve 0 = 4*u - c + 10, 0 = -u - 2*c - 2 + j for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of 1\/120*t**6 + 1\/24*t**4 + 0*t - t**3 + 7*t**2 + 2 - 1\/20*t**5. What is the second derivative of q(h) wrt h?\nAnswer: 6*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2130, -6915, -14868, -25971, -40206?\nAnswer: -57555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 344936097 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 less than 67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14769\/97 or 153?\nAnswer: 153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16097?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 6*a - 3*a)*(-6*a**2 + 3*a - 3*a)*(-2 + 0 + 0).\nAnswer: 24*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 296.70043 to 1 decimal place.\nAnswer: 296.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 6*q**2 - q - 6. Let g be m(-6). Solve g = -0*b + 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 0 + 6 + 0*o**2 + 0 + 3*o**2 wrt o?\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 5*r**2 + r. Suppose 2*q - 12 = 2*d, 27*d - 29*d + q - 7 = 0. Give j(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -275076, -275104, -275132, -275160, -275188, -275216?\n\"Answer: -28*q - 275048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + -3 - -2 - (21 - 1). Let d(a) = a**3 + 2*a**2 + a. Let h be d(-3). Let s = h - t. Solve 3*w = 5*o, -6*w + s*w + 22 = o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 8*w - 691. Let i be f(-20). Sort 1, 0.3, i, -0.2 in descending order.\nAnswer: 1, 0.3, -0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 566 * 0.576.\nAnswer: 326.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (23035\/542)\/(5\/10)*1\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -28*n**3 - 4*n - 72 wrt n.\nAnswer: -84*n**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -11*d**8\/56 + 2*d**4\/3 - 7*d - 8. Let b(c) be the first derivative of i(c). What is the third derivative of b(o) wrt o?\nAnswer: -1320*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2 - 10*p + 16.\nAnswer: (p - 8)*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 12) to base 11\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.4, 38541065.\nAnswer: -3, -0.4, 38541065","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 3*k**2 - 5*k + 1. Give o(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -105, -422, -951, -1692?\n\"Answer: -106*j**2 + j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, g: 7, l: 4}. Give prob of sequence lh.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxcxxxxxxxxcxxcxx. What is prob of picking 3 c?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(3 + sqrt(325)*-3*-5 + 5 + ((sqrt(325) + -2 + sqrt(325))*-3 - sqrt(325))*-6))**2.\nAnswer: -143640*sqrt(13) + 9510381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -453, 7711.\nAnswer: -453, 4, 7711","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -12736, 0.01, -6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 5*b + 9, 3*b = -d - b + 36. Suppose -3*g + 13 = -20*z + 21*z, -3*z = 3*g - 21. What is the highest common factor of d and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of x**5\/20 + x**4\/3 - x**3\/2 - x**2\/2 + 6*x. Let m be z(-5). Let f = 12 + m. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 97, 0 in decreasing order.\nAnswer: 97, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 9*t = -33*t. Suppose t*f = 2*f - 4*l - 66, 0 = -4*f + 4*l + 112. Let z = 28 + -15. Calculate the remainder when f is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2725*k - 1747. Let d(i) = -2727*i - 1750. Let x(v) = 4*d(v) - 3*f(v). What is the derivative of x(m) wrt m?\nAnswer: -2733","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 432*f - 1036*f = -10872 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -s**2*t + 18*s**2 + 927*s*t - t - 1493900 wrt s.\nAnswer: -2*s*t + 36*s + 927*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 9:34 AM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -3. Let b = -3 + u. Let t be (b\/(-6))\/(4\/252). Calculate the greatest common factor of 7 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 3*z - 16, -5*z - 2*d = -12 - 2. Solve 0 = z*n - 4*n - 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*u - 148 - 16 = 116 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*i**5\/7 - 38*i**4\/7 - 6582*i**3\/7 + 14334*i**2\/7 - 8830*i\/7 + 1104\/7 = 0. Calculate i.\nAnswer: -23, 1\/6, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 3, 19.85, 2, -0.1 in ascending order.\nAnswer: -0.2, -0.1, 2, 3, 19.85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1*5)\/(8\/176) is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 2*s - 2. Let c be (-8 + 1 - 0)*-1. Let f(o) = 4*o**3 - c*o + 4*o**2 + 1 - 5*o**3 + 6. Determine -2*f(b) - 7*g(b).\nAnswer: 2*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 5*d**2 + 20*d - 5. Is 7 a factor of o(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 4*g**2 + 3*g - 2. Let v(h) = h**3 - 5*h**2 + 4*h - 3. Let j(i) = -2*v(i) + 3*x(i). Solve j(l) = 0 for l.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1033 at most as big as -2065\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 4*f + m - 34, -2*f + 21 = -3*m. What is the greatest common divisor of f and 186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -110\/1043679 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) -3 (b) -6\/7 (c) -1\/24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -1105287120*l**5 - 3656799468*l**4 + 8884725176*l**3\/5 - 997483116*l**2\/5 - 2954736*l\/5 - 432 = 0.\nAnswer: -15\/4, -3\/2065, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*24821\nAnswer: 9928.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43161 + 45992. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1756240?\nAnswer: 2, 5, 29, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 502681*f**2\/6 + 27651*f + 4563\/2 = 0.\nAnswer: -117\/709","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 10:45 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((-8 - -1) + -1 + 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 <= 75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 38469090 divided by -55\nAnswer: -699438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 59*i + 9. Let h(s) = -29*s - 4. What is 13*h(j) + 6*m(j)?\nAnswer: -23*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -76102.67261158 and -0.15.\nAnswer: -76102.82261158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 319\/415359 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3*h = 25. Let o be (99\/(-18))\/(-1 - 0)*4. Suppose o*t = h*t - 48. What is the remainder when t is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 6*a**2 - 2*a - 9. Let d be p(-6). Let i = -3787 + 3814. Solve -c + 5*f - 2 + 23 = 0, -d*c = 3*f + i for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -3, 19 in ascending order.\nAnswer: -5, -3, -1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1047600659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 10 = -2*x - 5*o, 0 = 5*x - 4*o - 33. Let t be 13\/((-455)\/14) + 17\/x. Let z be t\/(20\/(-16) - -2). Solve z*g = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 1:04 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/903955 and 83\/99991330.\nAnswer: 1299887290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/3, 610, -59, -0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 268, 1208, 2784, 5002, 7868, 11388?\nAnswer: 15568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(2299) + sqrt(2299) + sqrt(2299))*-1 - (2 + sqrt(2299) + -4)**2) + -3.\nAnswer: -2306 + 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 106602 and 86064.\nAnswer: 978","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 1\/3, 0, 3\/344, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/2 + p\/4 - 55\/4.\nAnswer: (p - 5)*(2*p + 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 6824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2855 and 5216656.\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -2\/43, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z. Let l(n) = 45*n - 189. Let a(o) = -11*o + 45. Let v(k) = 21*a(k) + 5*l(k). Determine v(g(w)).\nAnswer: -24*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53*t - 34*t - 88*t)*(-3 - 4 + 3)*(t**2 + t**2 - 8*t**2).\nAnswer: -1656*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91095.73 minutes to microseconds.\nAnswer: 5465743800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24? (a) 2 (b) -0.02 (c) -8\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 5*r - 2. Suppose -5*a = -0*c + 3*c + 1, 0 = -2*a - 4. What is the tens digit of b(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -89964, -179926, -269890, -359856, -449824?\n\"Answer: -b**2 - 89959*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 6:20 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 4. Let s = 1 + l. Let b = s - -8. Is 1 at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l - 6. Let g(w) = w**3 - w**2 + w - 3. Let o be g(0). Suppose 120 - 138 = -18*v. Let r(m) = -m - 1. What is o*r(p) + v*t(p)?\nAnswer: p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 26525 divided by 5305\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.7 + -5.7. Which is the fourth smallest value? (a) 4\/3 (b) 1\/5 (c) i (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 80734834 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 111 - 774\/7. Let x = 7 - 10. Let m = 369.4 + -369. What is the second smallest value in d, x, m, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -2. What are the prime factors of 5\/10*(-14)\/q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 984*z**2 + 1698*z**2 - 845*z**2.\nAnswer: 1837*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44454782 to the nearest integer?\nAnswer: 6667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1430 (base 5) to base 14\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133 = 6*y + y. Put y, -4, -2 in descending order.\nAnswer: y, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -72 - -106. Let r be (c\/(-7))\/(64\/(-224)). Differentiate -5 - 6*v**4 + 31 + 17*v - r*v with respect to v.\nAnswer: -24*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 18*f**2 - 25*f - 116. Calculate n(-19).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4295486?\nAnswer: 2, 13, 165211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dp when two letters picked without replacement from {p: 1, d: 3, e: 1, i: 6, o: 4}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 224834794 a multiple of 2064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-144)\/48*30\/18?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 1:22 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 169165 and 117415.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23143?\nAnswer: 23143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7747 or 7751?\nAnswer: 7751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, d: 4, j: 3, h: 2}. Give prob of picking 1 h and 1 j.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/5? (a) 4 (b) -67\/5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*t**3 - 10*t**2 - 49*t**3 - 60*t**5 - 47*t**5 - 10*t**4 + 20 + 165*t**5 + 35*t - 53*t**5.\nAnswer: 5*(t - 4)*(t - 1)*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10234, 20293, 30164, 39847, 49342?\nAnswer: 58649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -177523859*q**3 + 6155442?\nAnswer: -532571577*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 12*z**2 + 13*z - 9. Let o be w(13). Let p = 4 - o. Let h = p + 22. What is the remainder when h is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - -21) + 0 + -11 + (7 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -122 (base 12) to base 6\nAnswer: -442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, z: 5, t: 1, n: 1, i: 5, l: 4}. What is prob of picking 1 n and 3 l?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**3\/2 - m. Let t(g) = 6*g - 15. Let i(d) = d - 3. Let q(x) = -10*i(x) + 2*t(x). Determine c(q(r)).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + 1. Let v = 857 - 849. What is the highest common factor of q and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1100, 1099, 1098, 1097?\nAnswer: 1096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of f**4\/16 + f**3\/6 + f**2\/8 - 7*f. Find s, given that q(s) = 0.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -12*v. Let d(p) = 295167*p. Give q(d(r)).\nAnswer: -3542004*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-8)*122\/(-427)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 3*r**3\/4 + 16045*r**2\/4 + 9356*r + 2673 = 0?\nAnswer: -5346, -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - w + 33. What is the remainder when y(0) is divided by (-3)\/12 + 6885\/340?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/1)\/((-3)\/(-3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -17. What are the prime factors of (-2)\/(2 - x) + 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 4*i - 3. Let z be d(2). Let w be (2\/4)\/(z + 2). Let q be (-6)\/16 + (-1150)\/(-1104). Which is smaller: q or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4154 and 20?\nAnswer: 41540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5524469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -255 by -117559.\nAnswer: 255\/117559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1444 - -6833. What are the prime factors of n?\nAnswer: 3, 31, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54634595 to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -27*g + 15*g + 14*g + 928. Let c be w(0). Let u = c + -391. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -2*s, -7*h + 56 = s - 2*s for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 499252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -p + 5*b - 3, 12 = -3*p + 2*b. Let s be (-646)\/p*78 - -3. Round s to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5889999 is divided by 190.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 113247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1275 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 r when three letters picked without replacement from drdd?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -6*v - 34. Let k be s(-6). Suppose k*o = 6*f - 2*f - 634, -2*f = 3*o - 305. Does 9 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oh when two letters picked without replacement from {o: 3, h: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18)\/24 - (-102)\/8. Let m = j - 9. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2665 and 0.2?\nAnswer: -533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -10*k + 23. Suppose 2*y + 11 = 1. Let i(a) = -7*a + 15. Let r(v) = y*x(v) + 7*i(v). What is r(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 20112122302?\nAnswer: 20112122312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.5 + -2.5. Let h be 163\/(-489)*8\/((-32)\/(-3)). What is the closest to h in 0, n, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 - 27. Let r(x) = 2*x. Let d be r(j). Solve -2*k = -0 - d for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*n + 4*n + n**2 + (0 + 2 - 1)*(-17*n**2 + 89*n**2 - 18*n**2) as v*n**2 + x*n + p and give v.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 16*a**2 + 3*a + 3. Let m(j) = 3*j**3 + 33*j**2 + 8*j + 8. What is 5*d(p) - 2*m(p)?\nAnswer: -p**3 + 14*p**2 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*u = -66*u + 1300. Let q(h) = 0*h - 3 - 4*h**2 - 7*h - h**3 - 2*h**2. Let p be q(-5). Solve z + p = o, 0*o = o - 3*z - u for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1156*b**3\/5 - 2176*b**2\/5 + 268*b\/5 - 8\/5 = 0 for b.\nAnswer: -2, 1\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -4*f + 33. Let l be g(7). Suppose 0 = l*j - 15*j + 20. Solve -4*t - 2*u = t - 5, 0 = 4*t - j*u - 22 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 3:37 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-13)\/2*(-7990 - 9 - 27) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) + (sqrt(567) - (sqrt(567) + 4)) + 2 - ((sqrt(567) + 3 - sqrt(567)) + sqrt(567) + -3)**2)*2*3.\nAnswer: -3414 + 54*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -4*k + 4. Let c(a) = -10*a + 10. Let f(b) = -3*c(b) + 7*p(b). Calculate f(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(((-9)\/18)\/((-1)\/4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -506504323 - 3?\nAnswer: -506504326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*v + 25*v = 13 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10428 by 2607.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300373*r = -300443*r + 140. Solve 22\/13*v - 4 + 2\/13*v**r = 0.\nAnswer: -13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -33773\/1641 <= -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(6*(2*sqrt(432)*4)**2 - (sqrt(432)*2*-6 + 5))*-1.\nAnswer: 576*sqrt(3) + 663532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2202 (base 4) in base 14?\nAnswer: b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 16*i - 21*i + 7, -3*i + 8 = -5*n. Solve 16*a - i = 47 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3536, -7007, -10478, -13949, -17420?\nAnswer: -20891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (939\/626)\/(6\/(-40)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 667 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -17 + 17 - (-60)\/(-2)*-9. Suppose -4*u + s = -530, 2*u - 2*s - s - i = 0. What is the remainder when u is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - t + 4*t - 75 = 0, 5*g = -t + 389. Suppose -14*m + g = -m. Suppose -12 = -3*q - 0. Is q < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -18, -4, 0.2.\nAnswer: -18, -4, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15808728 is divided by 5703.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 146836 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 11*c = 18. Let v = c - -24\/7. Are v and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 840 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: Is 5752729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w - 3*w + 106*w**2 + 3*w.\nAnswer: 106*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 1cc946?\nAnswer: -1cc946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*f - 355 = 215. Is (f\/20)\/((-9)\/(-1338)) a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, g: 2, f: 2, y: 2}. Give prob of picking 2 t and 2 f.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 13 = 2. Let c = 109 + -105. Let w be 8\/(-12) + c\/6. Sort x, w, 2 in increasing order.\nAnswer: x, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 6610235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -331*i + 21 + 1954*i + 15 - 36 in the form c*i + q and give c.\nAnswer: 1623","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, a: 3, z: 1}. What is prob of sequence auzz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2. Let j(u) = -u**3 - 4. Let w(n) = n**2 + 7*n + 4. Let h be w(-6). Let t(a) = h*j(a) + 5*s(a). Differentiate t(f) with respect to f.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3439919, -3439912, -3439893, -3439856, -3439795?\n\"Answer: a**3 - 3439920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 92\/7630161 and 131\/430542.\nAnswer: 137342898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4*r - 11. What is the units digit of l(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -196*q**6 + 2*q**2 - 11?\nAnswer: -23520*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 93*c - 86505. Calculate r(-344).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/7 in 689, -0.19, -3, 0.3?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w + 5675. Let t(y) = y. Give z(t(s)).\nAnswer: s + 5675","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of 3*a**5\/40 - 7*a**4\/8 + 2*a**3 + 12*a**2 + 4*a. Let m(t) = 0. Calculate t.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1458 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 161660621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j**2 - 61*j + 6084. Determine l(36).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 - -5)*1*16. Calculate the common denominator of -17\/4 and (-356)\/h - (-1 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, k: 4, g: 4}. What is prob of picking 1 m and 2 k?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(420) + sqrt(420)*-1)\/sqrt(7))\/sqrt(12)*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -2\/11 (c) -3\/7 (d) -2\/3 (e) 132 (f) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -j + 2 - 3 + 10 - 2*j wrt j?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36189 = -659*z + 30512 - 8050 for z.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/176 and -91\/144?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/296 and 53\/296.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 101435922?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24534239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/232 and 3\/1208?\nAnswer: 35032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*o + 1 - 11*o - 7*o.\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -71 in 0.4, 0, 5\/27, 1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j**3 - j**3 + 3*j**3)*(-10 - 3 - 1) to the form s*j**3 + w + o*j**2 + r*j and give s.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, c: 1, p: 2, d: 1}. What is prob of sequence gd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -15. Let a(b) = -b**3 + 6*b**2 + 2. Let h be a(w). Find the third derivative of 4*n**2 - n**h - n**2 + 2*n**3 wrt n.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 3*u + 5*f, -11 = -3*u - f + 2*f. Suppose 0 = -123*c + 280 - 34. Solve 18 = -u*z - c*p, -7*z + 4*p + 6 = -2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92791\/5 >= 18557?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 25 + (64 - (141 - 36))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -4 + 3 - 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 2\/7 (b) -20787.15 (c) -3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -i, -13*i + 9*i - 72 = -f. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -q**5\/40 + q**4\/12 + 7*q. Suppose i(o) = 0. Calculate o.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 158, 482, 1092, 2078, 3530, 5538, 8192?\nAnswer: 11582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -55125*l**2 + 67200*l - 20480.\nAnswer: -5*(105*l - 64)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6018516 + -3?\nAnswer: 6018513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 2\/19, -36, -2\/3, -1.\nAnswer: -36, -7, -1, -2\/3, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*a - 23 = 0, -11 = 2*g + a + 2. Let b be 3 + g + 5 + -4. Suppose b = -q + 9*q. Solve 3*l - k + 0*k - 7 = q, -4 = -3*l - 2*k for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/10 + (-72)\/(-20). Let k(d) be the first derivative of d**c - 2*d - d - 1 + 0. Find the first derivative of k(r) wrt r.\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 148021\/6 + -24641. Which is bigger: 30 or y?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12619*f*m + 3*m + 18319 wrt f.\nAnswer: -12619*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -z**5\/30 - z**4\/6 + z**3 - 3*z**2\/2 - 7. Let o(q) be the second derivative of h(q). Factor o(n).\nAnswer: -2*(n - 1)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + 1. Let a(r) = r + 3. Let s be a(-3). Let n be m(s). Is ((-2)\/(-4))\/(n\/68) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -164*r**3 - r**2 + r + 2. Let n be q(-1). What is the highest common divisor of n and 123?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t**2 + 116*t - 72. What is z(38)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7\/11771 - -153044\/35313. Find the common denominator of (34 + 0)\/(4\/(-5)) and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 70 - 15. Suppose 22*g = 4*l + 20*g - 66, -5*l - 3*g + u = 0. What is the greatest common factor of 2 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p + 1. Let q be v(-2). Let f be (2 + q)*(1 - -1). Solve 0 = d + f - 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5340100 rounded to the nearest ten thousand?\nAnswer: 5340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than -5252494220946?\nAnswer: -5252494220944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205 is divided by 64?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 61.429 - 61. Let m = o - 0.129. Sort 3, m, -1\/20.\nAnswer: -1\/20, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -779 - -1673. Is 6 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46b (base 16) to base 11\nAnswer: 939","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*((-26)\/(-6))\/((-62)\/279). Calculate the greatest common divisor of 897 and i.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 6*x - 6 = x, -11 = -l - x. Let j(t) = t**2 - 7*t - 4. Let w be j(l). Let s = -1 - w. What is the remainder when 8 is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -8*v**3 + 2*v**2 - 2*v + 6. Let n(y) = -7*y**3 + y**2 - 2*y + 6. Let z(a) = 7*n(a) - 6*s(a). What is the units digit of z(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 - (41 - -49 - -49 - 23)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 1127 = -2*f - 1057 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57460?\nAnswer: 2, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -71*i**2 - 9*i. Let b(z) = -138*z**2 - 17*z. What is 6*b(g) - 11*q(g)?\nAnswer: -47*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -410.495 times -336\nAnswer: 137926.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 2774.507693 to the nearest 100.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54318413.\nAnswer: 54318413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1688119?\nAnswer: 29, 58211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, e: 1, l: 2, j: 5, q: 2, c: 1}. Give prob of sequence qrc.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -2*x + 531*l - 530*l, 2*x + 5*l + 33 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**3 + 2*x**2 + 5*x + 1. Let t(z) = 5*z**3 - 4*z**2 - 11*z - 2. Let h(l) = -7*p(l) - 3*t(l). Calculate h(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -6*q**2 - 8*q - 3. Let j(n) = -2*n**2 - 7*n - 3*n**2 - 2*n - 2 + 2*n. Let f(s) = 2*h(s) - 3*j(s). Find the second derivative of f(u) wrt u.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + 1 + 7 - 2. Let y(z) = 6*z**2 - 4*z + 1. Does 24 divide y(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7937102 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*c**2 + 2*c**2 + 3*c**2)*(-5 + 2 - 3*c**2 + 0) to g*c**4 + z*c**2 + w*c**3 + u + h*c and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 10*q - 3. Let r be w(-10). Let c be -4 - (0\/r - 3). List the prime factors of c\/((32\/60)\/(-8)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5487 = 41*c - 89. Calculate the remainder when 2169 is divided by c.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 7. Let z(f) = -f + 3. Suppose 3*h + 3*i = -198, 69 = -h - 5*i + i. Let s = -68 - h. Let b(v) = 2*v - 4. What is d*z(y) + s*b(y)?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of -i**4\/6 + 285*i. Let j(q) = 26*q**2. Give l(j(m)).\nAnswer: -1352*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -w + 14. Suppose 0 = -2*z - 11 - w. Let t = 39 + z. Is t a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -17*m**2 - 6. Let c(a) = -97*a - 1256. Let h be c(-13). Let u(o) = 18*o**2 + 5. Give h*q(b) + 6*u(b).\nAnswer: 23*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5579096, 5579091, 5579086, 5579081?\n\"Answer: -5*v + 5579101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**3 - 31*f**2 - 21*f + 337. What is k(-15)?\nAnswer: 427","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 25 = -2*r - 4*d, -3*r + 2*d + 5 = 0. Solve -j = -0*j + r for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7583097 to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 36669989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + -30488691509.5.\nAnswer: -30488691509.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 618*y - 667*y + 811783 = 0. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*g + 7 - 16. Let l = 2 - 0. Which is smaller: l or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5870.\nAnswer: 2, 5, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.8 - -9.3. Let d be (-12)\/(-2) + (-660)\/48 + 8. Which is the closest to d? (a) v (b) -0.11 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2 - 34*d + 109. What is the least common multiple of 1 and p(13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*4.5.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**14*(l**(2\/17)\/l*l)\/l)**3 assuming l is positive.\nAnswer: l**(720\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6137 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 44*f + 42. Let h(d) = 11*d - 10. Let y(z) = -9*h(z) - 2*k(z). Let r be y(-6). Solve r = t - 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 25 = -4*j, -j - 3*j = 5*r - 31. Suppose r*t + 8 = -t. Let q be 0\/(t + 0 - -3). Solve 5*c = 4*x - 33, 0 = 2*c - q*c + 5*x for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 554337 and 10475.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*b - 25*b + 54*b**2 + 239*b**2 to the form u*b**2 + x*b + k and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21? (a) 9 (b) -0.3 (c) -20 (d) -6 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.1 + 9.7. Let s = k + -6. Sort 1\/4, -4, s in decreasing order.\nAnswer: 1\/4, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i**2 + 14*i**3 - 7*i**2 + 18*i**3.\nAnswer: 32*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -10937 >= -10935?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s - 5*y - 25, -2622*s + 5*y = -2621*s - 21 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fjeaeze. What is prob of picking 1 a and 1 z?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -32, -2221, 4, 0 in decreasing order.\nAnswer: 4, 0, -8, -32, -2221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23450 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5588 + -2?\nAnswer: 5586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25911, -64, 4, -4, -5 in descending order.\nAnswer: 25911, 4, -4, -5, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - w + 7. Let h be r(3). Suppose 8*i + 20 = h*i. Suppose -i*l - 33 = -89. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 4*l - 48, -3*q - 116*l - 57 = -121*l for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -68376, -136750, -205124, -273498?\n\"Answer: -68374*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/1440*-10*-12*(-90)\/(-40)?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79765753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/15 of a decade?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 13 + (-4 - -3) + -2. Suppose 6*h - 4*h = -2*v + p, -4*v + 2*h = -8. Calculate the highest common divisor of 33 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453 is divided by 229?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193*f = 129*f - 83*f + 717 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -1595 + 325. Suppose -2*i + 0*i + d = 0. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15604 is divided by 1887?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of ((-32)\/(-12) + -2)\/(2\/237)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -17 - -15 - 6 - (-2 + -25)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -5. What is u rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 718001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 1. Let z = -856 - -851. Let p(l) = 2*l - 2. Calculate z*i(c) - p(c).\nAnswer: -2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1980354*f**3 - 113*f**2 - 141*f - 50 wrt f.\nAnswer: 11882124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 860742582?\nAnswer: 2, 3, 7, 151, 135721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4*v - 4*k - 114 = 0, 2*k = 5*v + 570. Let m = v - -342. What is the highest common factor of 12 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 59, 60, 61, 62?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59206230?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/4, 1, 127, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 151317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*l**3 - 185*l**3 - 62*l**3 + 427*l**2 - 131*l**3 + 99*l**3.\nAnswer: -324*l**3 + 427*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - 18 - (-1 - -6) - -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 359.0959 + 0.0041. Round l to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 0) + 2\/5. Let r be (2\/2)\/((-1)\/(-6)). Let g = r + -11. What is the nearest to 1\/3 in 4, k, g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2005656 a multiple of 772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 16*f**2 + 17*f - 14. Let h be c(15). Let a be 35\/(-5)*(-1 + -10). Let l = h + a. Round l to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 j, and 1 e when three letters picked without replacement from {r: 1, e: 1, f: 1, s: 1, j: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express ((m**3 + m**3 + 0*m**3)*(-2*m + 4 - 4) - 13*m**4 - 14 + 14)*(-3 - 2 + 4) as a + n*m**3 + d*m**4 + s*m**2 + x*m and give d.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**22*c\/(c\/(((c\/(c\/(c**(3\/7)*c*c*c)))\/c)\/c)*c)*c*c)\/(c\/((c*c**(1\/28))\/c)*(c\/(c\/c**(1\/19)))\/c) assuming c is positive.\nAnswer: c**(12987\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 57*x**2 + 638*x + 66. Determine f(42).\nAnswer: 402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -207 - -204. Let m be 1\/3*y*10\/15. Which is the second smallest value? (a) -1 (b) -89 (c) m (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -4*c. Let t(n) = 3891*n. Give t(j(r)).\nAnswer: -15564*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(847) + -2 - sqrt(7) - sqrt(7) - sqrt(7)) - (-1 + sqrt(7))*-3)**2.\nAnswer: 8*sqrt(7) + 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.5, 0.1075, 1 in decreasing order.\nAnswer: 1, 0.5, 0.1075, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23202831, 46405660, 69608489, 92811318, 116014147?\nAnswer: 139216976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 2) + 6 + 6 + (-52 - -4).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/4*4*(-1)\/(-10).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -8425278 = -8425278?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 959052 and 43968.\nAnswer: 2748","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19.9 + 21. Let v = j - 0.8. Let s be (4\/10)\/(4\/15). Which is the third biggest value? (a) s (b) v (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*j**3 - 219*j**2 - 1062*j - 104 = 0. Calculate j.\nAnswer: -4, -1\/10, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -158 - 164 - 160 + r - 158 + 641. Let o(h) = 1. Suppose 0 = 2*g + 2*q - 3*q - 2, -5*g + 5 = 3*q. What is g*j(t) - 5*o(t)?\nAnswer: t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6*5\/10 + -9 - -2126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6747975 and 150.\nAnswer: 13495950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12359754 and 180?\nAnswer: 123597540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284461 is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/6 of a minute?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 333115.\nAnswer: 5, 17, 3919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*a**2 - 11768*a + 21903420 = 0. Calculate a.\nAnswer: -4235, 1293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1380)\/(-315))\/23*(-28)\/24*3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -209.92 and 1.88?\nAnswer: 211.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, a: 2, o: 1}. What is prob of sequence aa?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 0*j - 2*j + 1 + 0*j - 3*j. Let v be i(6). Suppose 3*h + r = 2, 2*r = v + 3. What is the second biggest value in 2\/11, -4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 7 + 5 = -5*z, -5*n + 4*z = -17. Let u = 70 - 137\/2. Which is the second smallest value? (a) u (b) n (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -5\/4 (b) 58 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 5*c - 57, 4*d + 19 + 10 = 3*c. Let u be c + -9 - (0 - 24). Calculate the highest common factor of u and 208.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48383?\nAnswer: 48383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of f**6\/120 + 69*f**5\/20 - 21*f**4\/4 - f**3\/2 + 602*f**2. Find the second derivative of l(z) wrt z.\nAnswer: 6*z + 414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -113221?\nAnswer: 113224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -1, 2, 313 in increasing order.\nAnswer: -5, -1, 0, 2, 313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 53*y**2 + 13*y + 3. Is a(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7542 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**4\/5 + 36*k**3 - 221*k**2 + 408*k - 1116\/5 = 0?\nAnswer: -186, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/60 + (-154)\/30. Is k greater than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 479160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccbpbcctcccccbcbb. What is prob of sequence bcb?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*k**4 + 158*k**3 - 11515*k wrt k?\nAnswer: -108*k**2 + 948*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 7*y - 30. Let a(x) be the second derivative of 8*x**3 + 4\/5*x**5 + 9*x**2 + 11\/3*x**4 - y*x + 1\/15*x**6 + 0. Factor a(t).\nAnswer: 2*(t + 1)**2*(t + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*f - 30*f + 20. Find the common denominator of f\/(-6) + ((-160)\/116)\/(-10) and -145\/6.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9 + 2 + -1 + -3. Let f(t) = -t**3 + 6*t**2 + 6*t + 9. Determine f(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 10*l - 3*l - 5*l + 2*l**2 + 12*l**2. What is the units digit of u(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/2 and -33\/52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 1 + 0 + 1 - 11 + p. Let u be 4\/6 - 680\/(-51). Is 5 a factor of a(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - w - 3 = 0. Let r = 2 - w. Let o = 1.5 + -1.7. Which is the third smallest value? (a) o (b) 5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16804.\nAnswer: 2, 4201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l + 5*l + 757*l**3 - 767*l**3 - 552.\nAnswer: -10*l**3 - l - 552","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.05 + -0.3. Let s = 5.376 - 0.026. Let m = s + v. Sort 2, -2\/3, m, 3 in descending order.\nAnswer: m, 3, 2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34653 is divided by 5619?\nAnswer: 939","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -50376 + 50379. Let t = -1 - -0.9. Let x = 55\/3 - 19. Which is the biggest value? (a) -3 (b) t (c) x (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 377652, 377602, 377494, 377298, 376984, 376522?\nAnswer: 375882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m**3 + 0*m**2 - 2*m**3 + 30*m**2 + 5*m**3 wrt m?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6697?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 115, 432, 973, 1744, 2751, 4000, 5497?\nAnswer: 7248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40500, 39437, 36552, 30933, 21668, 7845, -11448, -37123?\nAnswer: -70092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2131210157?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fvvv when four letters picked without replacement from vivivivvvfivvv?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.3 - -1.7. Let l = -17 + f. Let h = l + 6.7. Which is the second biggest value? (a) -5 (b) 1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 9 + 3. Let f be 16 + (w - (2 - 3)). Solve 4*o - k - f = -0*o, o + 23 = -5*k for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 237*c - 247*c + 30. What is the remainder when 28 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**2 - 29*m**2 + 31 - 73 + 42.\nAnswer: -26*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 9*c**2 - c. Calculate the least common multiple of 6 and a(-9).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60113063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g + 12. Let a be n(7). Suppose 0*r - 3 = 3*r, -5*k = -a*r - 40. Is (-4 + k)\/(6\/4) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 48020?\nAnswer: 48020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.06 + -0.23. Let n = -0.07 - b. Put 4, n, 2\/13 in decreasing order.\nAnswer: 4, 2\/13, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64010314 to the power of 1\/2, to the nearest integer?\nAnswer: 8001","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 6*r + 5 = 2*j, j - r = -1. Let t = -0.2893 - -1.2893. Sort 0.2, j, -0.15, t in decreasing order.\nAnswer: t, 0.2, j, -0.15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y**3 + 35*y**3 - 26*y**3 - 23*y**3.\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -13*u + 2366 - 2306. Let i(j) = -5*j**3 + j - 2. Let t(x) = -6*x**3 + x - 3. Determine u*i(p) - 4*t(p).\nAnswer: -p**3 + p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f - 21. Suppose 0 = -9*r + 143 - 35. Let v be w(r). Solve -i - 2*i - 3 = v*l, 19 = 2*l - 5*i for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fohfhhfkafhfpof. What is prob of sequence pah?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-48)\/72)\/((-4)\/30). Let s be (3\/(-12) - (-33)\/(-12)) + y. Solve 4*f = 8, 8 = -2*t + 3*f - s for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -169*p**2 - 185*p**2 - 189*p**2 + 20*p + 680*p**2 + 2 - 171*p**2 as s*p**2 + k + z*p and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1523607 is divided by 513?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 226*t**3 + 65047*t**2 + 79495533?\nAnswer: 678*t**2 + 130094*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11286?\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88787 and 1824?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3780 rounded to the nearest one hundred?\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -4*k - 33, -3*k - 236*l + 238*l = 16 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -2. Let g(d) = 19*d - 5. Let y(i) = -10*i + 2. Let m(p) = 3*g(p) + 5*y(p). Is 20 a factor of m(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0110966 to four dps.\nAnswer: -0.0111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -5\/1243 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ouxamha. Give prob of sequence ha.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oonno. Give prob of sequence no.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g + 15*g - a - 4282 = 0, 4*a = g - 1442. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11868, -11870, -11872?\n\"Answer: -2*o - 11866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 0, 311, 495, -5 in ascending order.\nAnswer: -5, -1, 0, 1, 311, 495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nccncpppnnpp. Give prob of picking 4 n.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11694 = -4*g + 11690. Let r be 2*(0 - 2\/(-30)). Which is smaller: g or r?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -15, 0, 2\/17 in ascending order.\nAnswer: -15, 0, 2\/17, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/5 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 22 = 3*m - 4, 12 = -3*i for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*r - 71 = 1263 for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1e + c86?\nAnswer: c68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -227\/40 + 29\/5. Let i = -2358 + 2351. Let g = -0.03 - -3.03. What is the nearest to -1 in i, l, g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 15. Solve 0 = f*k - 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 415414153 (base 6) to base 8.\nAnswer: 33555365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 6*f + p - 276, 0 = -4*f - 4*p + 376. Let z be 11\/13 - (-14)\/f. Let l = -0.5 - -0.8. What is the third biggest value in z, l, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16) + 2*sqrt(1600))\/(-6*sqrt(16)\/sqrt(2)).\nAnswer: -7*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2 - 433551564*b + 15663913220570508.\nAnswer: 3*(b - 72258594)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 148\nAnswer: -444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 13649235, 13649238, 13649243, 13649250, 13649259, 13649270?\n\"Answer: l**2 + 13649234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**2 + 16*x + 43. Calculate k(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 151 divided by -1299\nAnswer: -151\/1299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*q + 692 = 34*q. Let l = q - 148. Which is the second smallest value? (a) 1 (b) 0 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 387100, 387097, 387092, 387085?\nAnswer: 387076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 2*i - 56. Suppose -4*k + 19 = 2*d - 7, -4*k + 41 = 5*d. Calculate the remainder when i is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22114312 - 33203?\nAnswer: 22031104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 4, -0.0634, 29, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110666 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/(-1))\/(-3*(-9)\/(-27)*3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3295)\/(-60))\/((-2)\/3). Let p = 323\/4 + n. Find the common denominator of -32\/3 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -24*k + 0 + 1\/2*k**3 + 13\/2*k**2 + 31\/12*k**4. Is y(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 3816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 5) in base 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 178771.9 kilometers?\nAnswer: 178771900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v - 1. What is g(-10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) 5 (c) -0.2 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7563.17l to millilitres.\nAnswer: 7563170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18\/(-24) - (184\/(-20))\/(8\/5). Solve 11*y + 17 = -l for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 40 (b) -1618 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + -9. Let q = z + 18. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 3 + 1. Let f = 1 + a. Suppose -3*p - 5*j - 15 = 0, -p - f*j - 15 = p. Solve p = -n - 4 + 1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 2*u + 4. Let i(j) = 2*j**2 - 1. Let y(l) = c(l) + 2*i(l). Let t(z) = z**2 - z. Determine 3*t(k) - y(k).\nAnswer: -2*k**2 - k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.065 and 0.008906788.\nAnswer: -2.056093212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 24*q**2 - 23*q + 2. Let c(v) = -v**3 + 16*v**2 + 4*v - 39. Let x be c(16). What is the lowest common multiple of u(x) and 44?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -8*w - 4. Let v be k(-3). Let l = -738 + 756. Let m = v - l. Solve -3*y - 2*y + m*n - 5 = 0, -y = -5*n + 24 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - u - 23. Determine y(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) 6 (c) -0.09 (d) -0.3 (e) -29 (f) -0.2 (g) 0.044\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -105243 + 150?\nAnswer: -105053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175*n + 3*n**2 - 2*n**2 + 175*n.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -n**4\/24 - 5*n**3\/6 + 6*n**2. Calculate the remainder when 8 is divided by m(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11188169138 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = u + 68 + 41, 0 = -u - k - 125. Round u to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-156 - 1)*-1*4\/(-4). Let v = m - -275. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4872340006 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1899 != 4721?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -5) + 4 + 5\/4.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 6*j + 5. Let a be n(-5). Let s be 14\/(-10) + (-10)\/a. What is the units digit of -8*1*(-2 - s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -2*k - 6, u = k - 3*u + 12. Suppose k = -0*o - 5*o - 105. Let s be 2\/(-7) + (-510)\/o. What is the greatest common divisor of 16 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/252 and 101\/504.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -140270000 rounded to the nearest one million?\nAnswer: -140000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*n = 446, -4*n = 4*q - 74 - 494. What are the prime factors of q?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17435, -17591, -17733, -17855, -17951, -18015?\nAnswer: -18041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8662 and 422521?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3.14*-5\nAnswer: 15.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -2*y + 23*y + 4*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*o - 401*o + 6*o - 16579 = 0 for o.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -57*n + 1293. Let r be t(-57). Is 4540 smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13145213 (base 6) to base 13\nAnswer: 122727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 126*k**2 - 3. Let p be h(-3). Suppose -414 + p = g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 6*h**2. Let b(w) be the third derivative of -11*w**2 + 0*w + 0 - 1\/3*w**4 + 0*w**3. Give v(b(t)).\nAnswer: 384*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 109 and 94939.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 534767020*f**5*l - 93243403*f*l wrt f.\nAnswer: 10695340400*f**3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 2 = 3*h - 7, -5*y + 2505*h - 2510*h - 50 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1 (b) 2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48121 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, x: 4}. Give prob of picking 4 j.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, 15, 5 in descending order.\nAnswer: 15, 5, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 270*j**2 + 6532*j + 1241. Calculate z(-24).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 - -0.3. Let g = -0.10124 + l. What is g rounded to 4 dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1577\/3 + -536. What is the common denominator of r and 59\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*o + 94928 = -43177. Does 27 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k**3 + 9*k**2 - 13*k + 11. Let d(a) = -a**3 + 4*a**2 - 6*a + 5. Let x be (9 + (-56)\/6 + -3)*(-6)\/(-5). What is x*r(z) + 9*d(z)?\nAnswer: 3*z**3 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -21*w**2 + 218*w. Let s(p) = 4*p**2. What is -q(n) - 6*s(n)?\nAnswer: -3*n**2 - 218*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -2\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 879, 0.1 in ascending order.\nAnswer: 0.1, 0.5, 879","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*r = 120*r + 801 + 585 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*o + 1012 = 780 - 1568 for o.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/3, -0.8, -3, -5\/4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/13 <= 11223016?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 109797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3b + -146b9?\nAnswer: -1467b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.97? (a) 0.3 (b) -386 (c) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 78899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*((-75)\/(-30))\/(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -499\/52 + 39\/4. Let a = -788.14 - -788.14. What is the closest to t in 0.3, 5, a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*b**3*d**2 - 3486493*b**3 - 36*d**2 + 86058*d wrt b?\nAnswer: -9*b**2*d**2 - 10459479*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1942519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 11 - 4 + 56*i - 347*i + 48*i. Let f be r(-1). Suppose f = 63*x - 61*x. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2209817543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -848*k**3 + 35*k - 515 wrt k?\nAnswer: -5088*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -306386, -612740, -919072, -1225382, -1531670?\nAnswer: -1837936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 3*m - 4*p = 36, m + 5*p = -23. Suppose 34*w + 48 = 18*w. Is (-4 + (-964)\/m)\/(w\/(-6)) 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 v**2 - v**2 + 5*v**2 - 10*v**5 + 2*v**5 wrt v?\nAnswer: -480*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4276 divided by 6\nAnswer: -2138\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (79 + 40 + 102)*(-5*i**3 + 5*i**3 - 6*i**5).\nAnswer: -1326*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 614 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*q + 2436 = -31*q. Let l = 2533 + q. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 213?\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -114*q**2*s**2 - 5*q**2*s + 23*q**2 + 9618*q*s**2 - 2*q*s + 2*q - 2*s + 773 wrt s.\nAnswer: -228*q**2 + 19236*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 76451 < 76455?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28566 + 37645. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*36\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuqppp. What is prob of picking 3 p?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 15*l = -180. Calculate the remainder when l is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 72 = x, h - x + 80 = -3*h. Let m(r) be the second derivative of -r**4\/12 - 19*r**3\/6 - r. Let d be m(h). Is d greater than -7\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5216633?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o - 5. Let u be j(5). Let k be 1 + -1 + u - (-769776)\/16. Suppose 16*r - k = 69969. Round r to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 554176 is divided by 1466.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-6) - (-51)\/(-9). What is the common denominator of (-262)\/(-44) + (-6 - t - 2) and -49\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2199465, -8797846, -19795147, -35191368, -54986509, -79180570?\n\"Answer: -2199460*w**2 - w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m*m**(3\/2))\/m)*m*m*m**(-47))\/((m**4*m*m)\/m*m)**(4\/9) assuming m is positive.\nAnswer: m**(-289\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2841 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1301, -11017, -37363, -88655, -173209, -299341, -475367?\nAnswer: -709603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 + 16. Let t be ((-64)\/(-48))\/((-2)\/b). Which is bigger: t or -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -552 - 2544?\nAnswer: -3540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 25 = 2*h, 4*h - 62 = 3*x. Suppose 4*l - 3*m + 0*m = 80, -3*l - 4*m + 35 = 0. Let c = l + x. Solve -u + 0 - 4 = 0, c*u + 10 = 2*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, 5, -4, -0.1796, 0.3 in decreasing order.\nAnswer: 5, 0.6, 0.3, -0.1796, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 933110980.\nAnswer: 2, 5, 46655549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10845 divided by 6?\nAnswer: -3615\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/21, 0.2, 7.58, -5, 1, 0 in decreasing order.\nAnswer: 7.58, 1, 0.2, 2\/21, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*c + 17 = -204*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b + 2*b + b + (1 - 5 + 2)*(-b - 3*b + 2*b) in the form n*b + u and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 30, -0.5, -9?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c + 3*c + 4, -4*z + 5*c = -16 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 26\/(-10))*(-3940)\/(-1182).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 7459 = 559*j - 560*j, -5*j - 5*d + 37295 = 0. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 935 and 6.\nAnswer: 5610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 11:21 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 146 + 146)*(-1781 + 1781 - 52*j).\nAnswer: -156*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 219276.45 milliseconds to hours.\nAnswer: 0.060910125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c8cce5 - 3?\nAnswer: c8cce2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4289, 28, 8 in ascending order.\nAnswer: -4289, 8, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 2. Suppose 0 = -4*c + 6 + 2. Suppose -c*p - 2 = -y*p. What is the remainder when 3 is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 77159*r**3 - r**2 - 4*r + 64?\nAnswer: 462954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {k: 3, c: 3, l: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 at least -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v + 69. Let o be z(19). What is the fourth biggest value in o, 1, -4, 1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 84500*h + 2. Let s(m) = m**2. What is c(s(w))?\nAnswer: -w**4 - 84500*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -1048*f + 4221. Calculate z(4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/15))**(-43)*u\/(u*u\/u**(-9))*u\/u**(-2)*u assuming u is positive.\nAnswer: u**(-4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 2*a**2. Let k be z(3). Suppose -26*j + 24*j = -5*g - 38, 2*g + 19 = -3*j. Which is smaller: k or g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 8*r**2 + 8*r - 12. List the prime factors of l(8).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(4\/((-240)\/(-20))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -2*f**3 - 82680*f**2 + 2150694*f - 13981708 = 0.\nAnswer: -41366, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of 2601\/4*a**2 - 17\/2*a**3 + a - 80 + 1\/24*a**4. What is n in m(n) = 0?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -67*a - 1264. Determine k(-19).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70 divided by -351.\nAnswer: -70\/351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.01 - 4. Let u = b - -2.99. Let f = -3.00004 + u. Round f to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t**5 + 2*t**4 - 102*t**3 - 98*t**2 + 314*t - 120 = 0. What is t?\nAnswer: -4, -3, 1\/2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 79*g**2 - 218*g + 2448. Determine s(81).\nAnswer: -2088","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q - 8*q = -n + 488, 5*q - n = 492. What is the least common multiple of 14 and q?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 3*s + v + 10, 0 = -3*s + 5*v + 29 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -3*f**3\/4 + 5*f**2 + 31*f\/4 + 2 = 0.\nAnswer: -1, -1\/3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -270 (base 16) in base 9?\nAnswer: -763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44859?\nAnswer: 3, 19, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 48. Let y = t - 16. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -94\/5241?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24280 is divided by 460.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 4*t - 15*t)*(7*t**2 + 10*t**2 - 2*t**2).\nAnswer: -180*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 90*s**2 - 6*s + 4. Let a(f) = 14*f**2 - f + 1. Let l(c) = 7*a(c) - v(c). Determine l(-2).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -946*t - 2. Let p(y) = 2*y. Determine a(p(x)).\nAnswer: -1892*x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15996526 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - (3*sqrt(68)*-1 + sqrt(68)) - 1*sqrt(68)*4)\/(sqrt(196) + 5*-1*sqrt(196)).\nAnswer: sqrt(17)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -n**4\/54 - 331*n**3\/27 + 8*n - 77. Find t such that u(t) = 0.\nAnswer: -331, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 469 and 134519?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -1. Suppose 9 = -v*w + 7*w, -2*x - 3*w + 1 = 0. Calculate the remainder when ((-15)\/x)\/(6\/64) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*b + 97 = -35, -3*x + 2*b = -424. Calculate the remainder when x is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*p + 2*p. Suppose r = p*r - 381. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 20 = -14. Suppose 2*u = -z + 23. What are the prime factors of (-4)\/20 - (-1962)\/u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12149 and 4.\nAnswer: -48596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (17\/((119\/14)\/17))\/(36\/(-21)). Is w at least -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*l**4 - 6809*l**3 + 3*l - 1792005 wrt l.\nAnswer: -36*l**3 - 20427*l**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence abbv when four letters picked without replacement from bararabavr.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -101 (c) -10 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -203.3?\nAnswer: 203.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 2*d - 146, -2*d - 3*d + 3*m = -365. What is the remainder when d is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p - 8. Let h be f(-6). Suppose h*j - 6*j = 0. Solve 2*w = -3*x - j*w - 4, 0 = -5*x + w + 15 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + 121.5539.\nAnswer: 125.5539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*q = -755 - 235 - 10 for q.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 6*(-1*((sqrt(68) + sqrt(17) + 3)*-2 + -5 + -2*(sqrt(1700) - (-2*sqrt(1700) + 0 + sqrt(1700)))))**2.\nAnswer: 6072*sqrt(17) + 216560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-6)*(-5190)\/560520?\nAnswer: -1\/72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -105*o + 125*o + 140 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17649 + -17631. Solve 3*x + 36 - f = 0 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 k when two letters picked without replacement from xyykpki?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*w - 32*w - 48*w.\nAnswer: -196*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2 - f - 12. Let b be h(-4). Let r be ((-16)\/b)\/((-6)\/(-9)). Let m be (-1)\/(-2)*1*-6. Sort r, m, -2 in decreasing order.\nAnswer: r, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 5:40 AM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3261087 + 7935777. Suppose -f = 3*q - 6*f + 2804783, -5*q - p = 2*f. Let l = 404936 + q. Round l to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*z + 20*z + 220 = 5*v + 40*z, 0 = 4*v - 5*z - 216 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 43\/569 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 13, -1\/2, -2\/13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28241 - 27719. What is the remainder when 1118 is divided by w?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/8)\/((-1970)\/(-66192))\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -273 + 386. Let r = 567\/5 - y. Suppose 3*p = 4*p - 4*j + 18, 5*j = -p + 27. Which is the third biggest value? (a) p (b) r (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.3663048 + -0.129961.\nAnswer: -1.4962658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17944567863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1998497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 6*i**3 - 646*i**2 + 1057*i + 211. What is q(106)?\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 + 32. What is the third smallest value in 4\/7, j, 2\/7, 4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65016 divided by -6?\nAnswer: 10836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-5 - 2 - -4) + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(2\/59)*m)\/(m*m**16\/m))\/(m*m\/(m\/(m\/(m*m**12)))*m*m*m*m**(-14)) assuming m is positive.\nAnswer: m**(474\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -42. Let x(t) = t**3 + 12*t**2 - 9*t - 94. Calculate the lowest common multiple of x(-12) and o.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21133022 + -11?\nAnswer: 21133011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of y**4\/4 - y**3\/3 - 3*y**2 - y + 10. Let g be k(3). Which is the third smallest value? (a) -0.5 (b) g (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*((2 - 0) + -3). Suppose -d + v*d - 4 = 0. Factor z**2 + 0*z**d + 25 - 16 - 6*z.\nAnswer: (z - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15.28 + 1.42. Let b = -17 + l. Sort 3\/5, 2, -0.5, b.\nAnswer: -0.5, b, 3\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/(sqrt(2)*1))\/(2*sqrt(300)) + -3 + 2 + (6*(-2 + sqrt(13) + sqrt(13)))**2.\nAnswer: -5759*sqrt(13)\/20 + 2015","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from juqzpqhhhhjz. What is prob of sequence jhzh?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -190*n**2 - 10310*n**3 + 3898*n**3 + 195*n**2 + 7032*n - 5*n**2 wrt n?\nAnswer: -38472*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -1\/3*j**3 - 5\/12*j**4 - 37*j - 2 - 9\/2*j**2. Find the second derivative of m(f) wrt f.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of r**4\/6 + r**3\/2 - 11*r**2\/2 - 10*r. Is 22 a factor of t(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4265697766 - 4265697669.99999918. Let i = -96.14 + 0.14. Let p = q + i. Round p to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 - (-2483)\/(-52)) + 11\/4?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**3 + 0*g**3 + g**3)*(141 + 0*g**2 - g**2 + 5298).\nAnswer: 2*g**5 - 10878*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000010101111001101001 + -100?\nAnswer: 1000010101111001100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/1357 and 22\/68027.\nAnswer: 1564621","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50 - 45) + 0 + 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*p + 3*p**2 - 5*p + 7*p**3 + 0*p**2 to t*p**3 + c*p + l + z*p**2 and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -460*i + 1060 = -458*i. Is 82 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 2 = 3*y. What is the units digit of 54\/6 + y\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 11:35 PM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1 + sqrt(176))**2 + sqrt(176) - (sqrt(77)\/(sqrt(28)*3))**2.\nAnswer: 4*sqrt(11) + 6325\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o - 2*o**3 - 3*o + 0*o - 2*o**4 to j*o + l*o**2 + x*o**3 + t + u*o**4 and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 811231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 139311447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/10)\/(3\/15). Suppose u*w + w = 20. Find the third derivative of 4*s**2 - w*s**4 - 4*s**4 + 5*s**4 - s**2 wrt s.\nAnswer: -96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -5 - (4 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7264 and 56.\nAnswer: 50848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3404250 and 62638200?\nAnswer: 313191000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 11\/10?\nAnswer: 11\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -200330 rounded to the nearest 10000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 749 - 749.3. Which is the second biggest value? (a) q (b) 3 (c) 29 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -489 in -3365, 1\/4, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 6) to base 8\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 5*o + 1. Suppose 33*n = 29*n + 80. What is the smallest common multiple of t(1) and n?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(99) + ((sqrt(33) + sqrt(66)\/sqrt(2))\/sqrt(3))**2 + sqrt(11) - (-2*(sqrt(22) - (sqrt(22) - -2*sqrt(22))))\/(sqrt(2)*1*-4).\nAnswer: 11*sqrt(11) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6309?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/2 + 9 + -3 + -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -891*r - 182651. What is a(-205)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-237)\/(-395) + (-9)\/15. Solve -a = -4*l + 17, x = 2*l - a - 9 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - z = -1, -159932*d + 19 = -159929*d + 4*z for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(110) + sqrt(110) - sqrt(110))*-5)\/sqrt(10) - ((4 + sqrt(275))*6)**2.\nAnswer: -10476 - 1425*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 5*m - 85, -26*m = -4*u - 21*m + 75. Calculate the remainder when 99 is divided by u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 33 (b) -3 (c) 2155\/2 (d) 6\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8 + 3*(-25)\/15. Suppose -f = h - 1. Let y be ((-532)\/49)\/(h\/(-1)). Is -6 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.5133 - 3.3837. Which is smaller: 3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and 11528.943793367.\nAnswer: 11525.943793367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 179252580?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.08 and -4914732038.\nAnswer: -4914732038.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1873*v + 2*v**3 - 83 + 1878*v + 1874*v + 83 - 5625*v.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -782 divided by -46.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 3*x = -4*s, 5*x = 5*s - 30 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -17\/4, -4, -8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 83.813 + -83.3. Let i = -0.187 - w. Sort 1\/2, 1, i, 0.4.\nAnswer: i, 0.4, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -16*i**2 - 98*i - 68. What is s(-5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 66.4141 - 0.0141. Let j = -74 + u. Round j to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a + 11. Suppose 1 = -n - 5*m + 2*m, 0 = 3*n - 2*m - 8. What is the remainder when n is divided by u(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, b: 1, k: 1, f: 4, h: 4, i: 7}. What is prob of sequence ih?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/12*153\/4794)\/2?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 + 8*f + 6. Give i(4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence srrs when four letters picked without replacement from {s: 9, r: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3802 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 5 - ((-6 - (-4 - -5)) + (-14 - -2)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -653.8 - -653.64. Let z = -9 - -11. What is the third biggest value in z, 5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 76, 194, 302, 394, 464, 506, 514, 482?\n\"Answer: -m**3 + m**2 + 122*m - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 126360, 126351, 126328, 126285, 126216, 126115, 125976, 125793?\n\"Answer: -d**3 - d**2 + d + 126361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 133*t - 3798. Let q be c(-41). Suppose 8*h = 5*h + 405. Suppose -5*w + 2*w - 5*o - 81 = 0, 5*w - o = -h. Is q smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 688*o**3 - 104912*o**2 - 52628*o.\nAnswer: 4*o*(2*o + 1)*(86*o - 13157)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74 + 85 = 53*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/1 - 444\/(-42) - 78\/(-182). Calculate the highest common divisor of 54512 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.67025 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 - -4 - -3*10\/15. Suppose -5*c + n*c + 69 = 0. What is the remainder when 23 is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (74\/(-56) + 1)\/(-1 - (8 - -6)). Let s(k) be the third derivative of -24*k**2 + 0*k**4 + 0*k + 0 + 3\/40*k**5 - g*k**7 + 1\/10*k**6 + 0*k**3. Factor s(d).\nAnswer: -3*d**2*(d - 3)*(3*d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - (-6 - -4)) + 2. Solve 2*f + 4 = -3*h - 12, x = -h - 2 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15164, 30331, 45500, 60671, 75844?\nAnswer: 91019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1894 and 12.\nAnswer: 11364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 5)*4\/(-6). Suppose -m*k + 0*k = -228. Let z = -52 + k. List the prime factors of z.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**2 + 2*b**2 - 7*b**2 + 0 + 0 + 2*b**2 + (b - 2*b + 0*b)*(-b + b - b) - 3*b**2 - b**2 + 6*b**2.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 2*y**2 - 10*y - 3. Let o be z(-4). Let 1\/2*r**o + 0 - r**4 + 0*r**2 + 1\/2*r**3 + 0*r = 0. Calculate r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 96.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 9358006, 18716044, 28074078, 37432108, 46790134?\n\"Answer: -2*p**2 + 9358044*p - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*k**5 - 86*k**4 - 16*k**3 + 152*k**2 - 32*k = 0. Calculate k.\nAnswer: -4, -2, 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/6 or 97070?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -10*s + 6*s - 5*z, 3*s - 6*z = 30 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of 43*o**7\/210 + 23*o**5\/20 + 12*o**2 + 4. Find the third derivative of q(x) wrt x.\nAnswer: 1032*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 82?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 623150.\nAnswer: 2, 5, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1671040.\nAnswer: 2, 5, 7, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -276466 - 17?\nAnswer: -276482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1440 and 960?\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13709 to the power of 1\/2, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7 and -2044.\nAnswer: 1430.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 4:00 PM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1784 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 + -18. Is p even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/9 - (-40)\/6. Let p(x) = -3*x**2 - 9*x + 11. Let l(m) = 2*m**2 + 5*m - 6. Determine u*l(z) + 4*p(z).\nAnswer: 2*z**2 - z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**3 + 2008*f**2 + 2*f + 5703?\nAnswer: -12*f + 4016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 6\/(-5 + -1) - (-34 - -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m + 176 = 29*m. Suppose 13*u = m*u. Suppose -2*y - 4*t = 12, -2*y + 0*y - 5*t - 17 = 0. Which is smaller: u or y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/18 and 23\/468124.\nAnswer: 4213116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 75 = 3*b - 43, -25*j - 10 = -24*j + 3*b for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*k + 23*k - 8*k + 271.\nAnswer: -3*k + 271","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 151089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = u - 3*a, 4*a + 8 - 20 = 4*u. Solve 0 = -u*r, 27*r + 9 = -3*x + 25*r for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-4))\/((-17085)\/(-173128)).\nAnswer: 38\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/4 and -29\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 + 18 = -10*r + 17 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 207 - 897 = -14*a, 5*d - 4*a = -186 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -4*b. Let g(x) = -x**2 - 10*x - 694. What is g(s(z))?\nAnswer: -16*z**2 + 40*z - 694","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-24)\/(-8) + -1*4. Let o(w) = 6*w**2 + w. Let l be o(h). Solve -l*r - 1 = 2*d - 27, -4*d - 3*r + 24 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1138, 4567, 10274, 18253, 28498?\n\"Answer: -g**3 + 1145*g**2 + g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w + w + 3*w)*(0 + 4 + 8)*(3 + 0 + 0)*(-7 + 2 - 6)*(-2*w**2 + 0 + 0) in the form u*w**2 + f*w + i*w**3 + v and give i.\nAnswer: 1584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 26 + d**2 - 60.\nAnswer: d**2 - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (48\/(-48))\/((56\/(-21))\/(-8))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tk when two letters picked without replacement from kmetkekvktzt?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -20958660, -20958619, -20958580, -20958543, -20958508?\n\"Answer: -c**2 + 44*c - 20958703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23)\/(69\/4)*(-84)\/(-80)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**3 - 2*j**3 + 2*j**3)*(-1 + 0 - 2)*(1 - 8 + 0)*(6 - 7 + 9)*(-3 - 1 + 3).\nAnswer: -168*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -506 divided by 46.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7473 + 7477. Solve 0 = o - 4*k + 13, 5*o + b*k = -10 - 7 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -4\/3*u**3 + 0*u**2 + 0*u - 7. Let n(p) = -4*p**2. Calculate z(n(c)).\nAnswer: -64*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2 + 2 - f. Let v(h) = -4*h**3 - 4. Let u(i) = i**3 + 1. Let s(t) = -3*u(t) - v(t). Let o(g) be the first derivative of s(g). Calculate x(o(w)).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -n**8\/112 - 2*n**5\/15 + 5*n**2. Find the third derivative of p(q) wrt q.\nAnswer: -180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (5 - 13) - -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 35267633?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 5:32 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*y*z**3 + 2*y*z**2 - 5662*y*z + 42*z**3 - 3*z wrt z.\nAnswer: 24*y*z + 4*y + 252*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10800 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 11 = 3*y - 6*y, -5*s = -5 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 617100 and 1173612.\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/8 of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7544 + -361991\/48. Let j = 2822 + -45223\/16. Find the common denominator of j and n.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**15)\/(f*f\/f**33*f) assuming f is positive.\nAnswer: f**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (23600\/96)\/(-59) - (-18)\/4. What is the biggest value in 4, y, -1, -1\/22?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 p when three letters picked without replacement from ddggddgdppdgdd?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3761*p - 2 - 957*p + 3.\nAnswer: 2804*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*100839198\nAnswer: -50419599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -j**4\/10 + j**3\/10 + 13*j**2\/10 - 5*j\/2 + 6\/5 = 0?\nAnswer: -4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -20*x - 46. Let m(l) = 13*l - 16 + 34 + 13. Let y(h) = -5*g(h) - 8*m(h). Let k(a) = 2*a. Calculate k(y(u)).\nAnswer: -8*u - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 16) to base 6.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15625 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1297 + 3848\/3. Find the common denominator of x and (-539)\/56 - (4 - 33\/3).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.59 * -1591328.6.\nAnswer: -938883.874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (2800\/(-50))\/(((-14)\/16)\/1)\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -7*m**2 + 82*m + 14. What is w(12)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (16 - 42) - 34) + 40?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 83 - 81. Factor -2\/5*t - 2\/5*t**3 - 4\/5*t**u + 0.\nAnswer: -2*t*(t + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-1 + 8 - 13) - (-3 + -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1048 = -6*l - 2*l. What is the remainder when l is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a day?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 8366.877ug?\nAnswer: 0.000000008366877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 4:25 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.48 and 81 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iq when two letters picked without replacement from ilhhiiqi?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (6 + -4 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 + 168897*p - 7606440.\nAnswer: 3*(p - 45)*(p + 56344)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 3 + 2)*(-3 + 3 + 2*v) + 4 - 3*v - 4)*(0 + 0 + 3*v)*(2 - 4 + 0 + (-2 + 0 + 0)*(0 + 1 - 3)).\nAnswer: -30*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*j + 15 = -2*m, -4*j + 2*m = -78. Suppose 123 = j*v - 171. Calculate the remainder when 55 is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 324*y**2 - 744*y**2 + 348*y**2 + y**2 + y**2 - y**2 + 0*y**2 - 3*y**2 + y**2 + (3*y + 3*y - 5*y)*(y + 2*y - 4*y) + 5*y**2 - 5*y**2 + y**2.\nAnswer: -73*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2930734?\nAnswer: 2, 1465367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -4 - 1 + 4 - 2 - 2*q. Calculate b(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -528*m + 2081 - 14225 for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6144 is divided by 1187.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1566 - 1428. Let t = -33176482 + 33176619.999838. Let u = t - y. Round u to five decimal places.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 299\/306 - 3\/34. Sort 1\/2, 2\/7, z, -4.\nAnswer: -4, 2\/7, 1\/2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 19 = -5*p + 8, 0 = -5*y + 10. Suppose o - 3*u = 30, -o - 3 = p*u - 1. Let j = 28 + o. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 2883 = -1493. List the prime factors of z.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -14*z + 17. Let d(t) = 5*t - 6. Let c = 10 - 4. Let v(u) = c*a(u) + 17*d(u). Let i(h) = 6*h**2. Determine i(v(k)).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50469392.\nAnswer: 2, 3154337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 to the power of 1\/2, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98)*2)**2 + sqrt(98) - sqrt(98))*5*-3.\nAnswer: -5880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 38\/5 + 1*4\/10. Suppose 0 = -r + 5*b - 3, 5*r - 3*b = -b + w. Suppose r = s - 64. List the prime factors of s.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14056 divided by 1004?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111 - 65 - 56 - g + 232 - g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 8:52 PM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 157213, 314349, 471491, 628639, 785793, 942953, 1100119?\n\"Answer: 3*h**2 + 157127*h + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*v - 9 = 0. Let k = v + 3. Suppose k = 3*i + 2*i - 35. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -c**8\/3360 + c**6\/360 - c**4\/48 - c**3\/3 + 1. Let z(q) be the third derivative of j(q). Factor z(d).\nAnswer: -(d - 1)**2*(d + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 2*q + 1. Let d be u(1). Suppose d*v = -2*v + 1328. Suppose -773 = -3*m + v. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45173*-14.69\nAnswer: 663591.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + 50255\/(-525) - 2\/(-12). Let s = t + 491\/5. Is 1 at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10805238 and 822.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/89 in 4, -1, 11, -27.9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -318983000 to the nearest 1000000.\nAnswer: -319000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.79 + -11.81. Let u = -13 - x. Let o = -3.8 - -0.8. What is the nearest to -0.1 in u, o, -0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 14*j - 5. Calculate the smallest common multiple of 40 and r(15).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 + 47 - 2971*m**2 + 2728*m**2.\nAnswer: -243*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9600\/84 + ((-4)\/14 - 0). Calculate the greatest common factor of 266 and n.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h - 8. Let d be b(11). What is the second derivative of -12*y + 10*y**d + y - 4*y**3 wrt y?\nAnswer: 36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-18)\/45*-545)\/2. Sort 1, 0, n.\nAnswer: 0, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -0.3, -1\/7, -2\/17 in increasing order.\nAnswer: -0.3, -1\/5, -1\/7, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 82 = -2*m, -5*m + 88 = -0*c - 3*c. Suppose -62 = -x + 4*r, x - 2*r - 3*r = 66. Let t = c + x. Solve 0 = -2*s + 6*s + t for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + (124 - -21) + (1 - 14)?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -162916, -162883, -162852, -162823?\nAnswer: -162796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 376 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*h*n**2*o + 32*h*n**2 + h*o + 14*n**2 + 2*n*o**3 + o**2 wrt o.\nAnswer: 6*h*n**2 + h + 6*n*o**2 + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.01 - 1.01. Let l = 84.98 - 85. What is the closest to k in l, 1, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 549 (b) -0.5 (c) 184 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*x + l - 7*l = 9 - 181, x + x - 2*l + 12 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 18 = -3*g - 5*j, -16 = 2*g - 5*j. Let t = -3 - -25. What is the least common multiple of t and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183869653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -8b?\nAnswer: -8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (11 - ((7 - 4) + 5) - -3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 5) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, -1, 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45 + 140. What are the prime factors of d?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/1*(-2 + 4). Let b be (-1)\/(-2) + 7\/2. Suppose -c = -b*m + 40. What is the remainder when 32 is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*a + 63*a - 199*a + 52*a + 59*a.\nAnswer: 18*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 - w**2 + 0*w**2 - 40 - 49.\nAnswer: -w**2 - 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00357846 to four decimal places.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 1117 divide 13399139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 119, 268, 487, 782?\nAnswer: 1159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.79 rounded to 2 decimal places?\nAnswer: 2.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-4) + (-1)\/2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 7*w = -3*o - 54, -w = 2*o - 19. Let x be 12\/20 - 189\/w. What are the prime factors of 3\/(-1 - 21\/x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -8*i**3 + 43*i**2 - 150*i - 242. Let v(u) = u**3 - 6*u**2 + 21*u + 33. Let p(m) = 2*k(m) + 15*v(m). Give p(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 18794703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -166, -338, -512, -688, -866, -1046?\n\"Answer: -n**2 - 169*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 4*r**2 - 2*r + 4. Determine n(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.67 + 5.6. Which is the nearest to w? (a) 5 (b) -0.5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 10, -0.1, -225\/8, 0.26?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-66)\/30 - 2599\/(-920).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3177 (b) 4 (c) 0.5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + 2 + 1 + 3. Suppose -j**2 + 2*j**2 + 2*j**z + 2*j**2 - j**2 = 0. Calculate j.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -5*q - 39, 2*q + 3144 - 3226 = -11*a for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*l - 64*l + 2672 = 754 - 1562 for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-6)*a*a\/a**(8\/5)*a)**(-39)*(a*(a\/(((a*a**(-2\/7)\/a)\/a)\/a*a))\/a)\/a**2*(a*a**(4\/7)*a*a)\/(a\/(a\/a**(1\/2))*a) assuming a is positive.\nAnswer: a**(-22767\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 6*q + 6. Let o(j) = 5*j + 6. Let c(y) = -7*o(y) + 6*w(y). Give c(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22682 to the power of 1\/2, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2. Let s(u) = -475*u + 49. Calculate v(s(b)).\nAnswer: -225625*b**2 + 46550*b - 2401","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-33) + 750\/550)*-15.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 311*f - 159. Let z(u) = -u. Determine o(z(w)).\nAnswer: -311*w - 159","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1827 + -1822. Let t(f) be the third derivative of 5*f**2 + 1\/90*f**u - 1\/6*f**4 - 7\/9*f**3 + 0*f + 0. Solve t(x) = 0 for x.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 1702*p - 6801. Determine b(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9 - -21)*1\/(-2). Let r = 6 + d. Suppose 3*c - 1 = -4*q - 3, r = 2*c + 2*q. Is c smaller than -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**4 + 21*a**3.\nAnswer: 3*a**3*(a + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82345?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1 + sqrt(147)*-2 + sqrt(147) + 5)**2.\nAnswer: -42*sqrt(3) + 156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*x + 20. Let v(s) = 8*s**x - 291*s + 12*s**2 + 290*s + 9*s**2. Let h(k) = -2*k**2. Give h(v(m)).\nAnswer: -1682*m**4 + 116*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*q**3 + 5*q**2 - 3*q - 4*q**2 + q to the form o*q**3 + j*q + n*q**2 + f and give o.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 1 + 2*z**4 + z - 8*z**3 - z - 2*z**2 to the form p + o*z + x*z**2 + a*z**3 + v*z**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s*s\/(s*s\/(s\/s**0*s))*s)\/s))\/(s**(-15\/4)\/s*s*s))**(-12\/5) assuming s is positive.\nAnswer: s**(-21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 24*n + 373*n**3 - 269*n**3 + 17*n - 107*n**3.\nAnswer: -3*n**3 + 41*n + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by -2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 take away -0.04103?\nAnswer: 0.09103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a century in years?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 22\/(-165) - (-197)\/15. Let l be (-5)\/((-77)\/(-39) + -2). Suppose -3*q = 2*q - l. Calculate the greatest common divisor of q and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23489 and 830?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**3 + 8*f**3 - 1758 + 1758 + 2*f**3.\nAnswer: 7*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/21*3\/(-2). Let m = -53 + 58. Suppose 4*p = k - 17, 2*p + p = m*k. What is the nearest to 0.1 in 3, k, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25357?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 64 and 817579429561?\nAnswer: 817579429497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 27 + 26417?\nAnswer: 26446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1256 divided by -2?\nAnswer: 628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j**5\/j)*j**12*(j**5)**(8\/13))**(3\/2) assuming j is positive.\nAnswer: j**(255\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4072490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6974343 and 405.\nAnswer: 34871715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 - 3*q**2 + 2*q**2)*(107 - 2*q**2 - 110 + 7*q**2).\nAnswer: 10*q**4 - 6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9418 + 9420. Solve -16*r = -i*r - 84 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*a, -3*m + 3*a = 6*a + 33. Calculate the remainder when (m - 112\/14)*156\/(-14) is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -s - 2*x, -3*s + 3*x - 1 = -x. Let z be (16\/20)\/(1\/s). What is the third derivative of -6*w**2 + w**4 - w**2 + 18*w**2 + w**z wrt w?\nAnswer: 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 3*l + 2. Let n be (64\/56)\/(-1 + l). Which is the biggest value? (a) n (b) 4\/7 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(50\/4)*-20. Let t(r) = 9*r**2 - 4*r - 11. Let v be t(n). Let m = 1000 - v. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -187474 by 6.\nAnswer: -93737\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -35350?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33*u**5 - 379*u**4 - u + 3257 wrt u.\nAnswer: -660*u**3 - 4548*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*o + 80*o - 7*o.\nAnswer: 184*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z + 66262904 + 116377096 = 0. What is z rounded to the nearest one million?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n = 3*q + 13*n - 6, -5*q + 2*n = -10. Suppose -5*b - 5*d - q = 8, -d = 1. Put -0.01, b, -5\/11 in increasing order.\nAnswer: b, -5\/11, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53112?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6737.233 + -6734. Let n = 3.319 - 0.019. Let c = n - b. Round c to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4}. What is prob of picking 3 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1108, -1104, -1096, -1084?\n\"Answer: 2*c**2 - 2*c - 1108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 18*z - 14. Calculate the remainder when 1 - 2*2\/(-2) is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -91 divided by 7\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 22896.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 - 6*o + 10)*(-1 - 3 + 3)*(0*o - 3*o + 5*o) as k + t*o + s*o**2 and give t.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 52715472 - 5?\nAnswer: 52715467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 4*t - 40 = 0. Suppose h + h = 3*s - t, -5*h - 20 = -2*s. Suppose 0 = -4*f + 2*p + 50, s*f + 25 = 3*f + p. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 + 85 = -3*k. Is k < -4\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1636*t**3 - 1300*t**3 - 2548*t**3.\nAnswer: -2212*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*y = 24*y - 880. What is the units digit of y*(8 + (-344)\/(-16))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -h + 15, 4*j = -h - 4 + 16. Calculate the remainder when 76 is divided by 254\/h - (-3 - 69\/(-24)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2120 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34 - -31. What is the third smallest value in -7, -2\/5, f, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(7) - sqrt(315)\/sqrt(5))**2 + sqrt(700)*-1 - -2*(2*sqrt(77))\/sqrt(11)).\nAnswer: -6*sqrt(7) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24 - 5?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10053 - 3213. Is 57 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*x**2 + x + 6*x**2 + 4*x**2 + 5*x**2.\nAnswer: 26*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -7*m + 3. Let l be a(2). Let k(d) = 6*d - 4. Let u be k(2). List the prime factors of l\/(-2) + (-4)\/u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -8*h - 2*d, 3*d = 3*h - 6*h - 3. Put 0, 5, -3, 1, h in decreasing order.\nAnswer: 5, h, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -178 + 178. Suppose 0 = -2*g - 8, 5*m + 0*m - 3*g - 27 = j. Solve -o + m - 6 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 100 = -3*l - 2*n, 2*n = l - 28. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 2:55 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1522 or 1530?\nAnswer: 1522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v + 2. Let y(f) = -9*f + 48. Let q = 48 + -81. Let a(g) = g - 6. Let w(z) = q*a(z) - 4*y(z). Let c = -191 + 185. Determine c*w(b) + 17*j(b).\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86701 is divided by 876.\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51616522 is divided by 188.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, 8, 36, 76, 128, 192, 268?\nAnswer: 356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y - 1. Let a(k) = k**3 - k**2 - k - 1. Let o be a(0). Let g be i(o). List the prime factors of 2 - (-13 + (g - -1)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ynwsgyknynyn. What is prob of picking 2 y and 1 g?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 3. Suppose 0 = -3*a - 0*f - 3*f - 18, -3*f - 21 = g*a. Which is smaller: a or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from emeeeemmmee. Give prob of picking 2 e.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*u + 183*u**3 - 179*u**3 - 269*u + 223*u.\nAnswer: 4*u**3 + 13*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1680360.21 rounded to the nearest 100000?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**2 - 3*s + 3*s - 9*s to the form h + z*s + t*s**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, -14, 5.\nAnswer: -52, -14, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -436\/167?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9280 is divided by 1352.\nAnswer: 1168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 12 - 0) + 1 + 22?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mp when two letters picked without replacement from mmppppmpmmppmm.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 4 = 2*b. Let c be (-3 - b)\/(10\/(-4)). What is the third biggest value in c, 1\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 130 and 57772.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 782?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 9:43 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -54 not equal to 441914?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1182882 is divided by 9314?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 1 = 22. Let a(v) = v + 6. Let u(y) be the third derivative of -13\/6*y**3 - 1\/12*y**4 + 9*y**2 + 0 + 0*y. What is f*a(r) + 3*u(r)?\nAnswer: r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 81, 78, 77, 78?\n\"Answer: p**2 - 6*p + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*35\/1*(-189)\/45. Let h = -148 + a. Let m = 0 + 0. What is the closest to h in m, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 391914 + 183186 = 100*u. Is 35 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 3*b + 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 1, -9, 11.\nAnswer: -9, -3, 1, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*i = -26*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.09? (a) 3 (b) -5 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 70964120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2 + 120794*q - 15308580.\nAnswer: -2*(q - 60270)*(q - 127)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.183559 - 1.81.\nAnswer: -1.993559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-6))\/(26\/(-12)). Let m be (-1001)\/182 - (-5)\/(10\/12). Sort 1, x, m in descending order.\nAnswer: 1, m, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 199896708*m + 84956586 wrt m.\nAnswer: 199896708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20570 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -22*l + 27*l - 2473, -t = -4*l - 796. Solve t*q = 817*q + 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-1\/17)*q*q*q*q**0*(q**(2\/7))**(-2\/29))**(-3\/16) assuming q is positive.\nAnswer: q**(-40599\/55216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from neenpne. Give prob of picking 3 e and 1 p.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 20 = -5*a. Suppose -3*f - 5*z = -56, 0*z + 2*z + a = 0. Suppose 30*h - 96 = 23*h - 9*h. What is the remainder when f is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - (-13)\/2)*4\/5. Let q(j) = j**3 - 5*j**2 - 5*j - 2. Give q(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r. Let k = 633 + -503. Let u(o) = 105*o - 267 + 137 + k. What is z(u(c))?\nAnswer: -315*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 8:22 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v. Let u(n) be the second derivative of -n**5\/24 + 5*n**3\/3 - 9*n. Let k(h) be the second derivative of u(h). Calculate k(c(b)).\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8153.19 and -6.\nAnswer: 48919.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -q**5\/30 - q**4\/6 - q**2. Find the second derivative of i(l) wrt l.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 390901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 99 and 27.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*w + 124*w = -656. Let t(u) = -88*u + 19. Let g be t(-6). Let x = g - w. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 3*f + 3081 = 0, 5*q = 5*f + 2576 + 2509. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3486, -0.05, -0.1?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/1*-2)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/3*(-1008)\/(-26040)*2\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 321827?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a milligram in micrograms?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -4*b + s - 9, 0 = -3*b - 2*s + 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**2\/5 + 843362*o\/5 - 3373416\/5 = 0.\nAnswer: 4, 421677","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 - 1 - (-9 + 1 + (124 - 119)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11729466?\nAnswer: 2, 3, 7, 127, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2572 + 6.903319\nAnswer: 2578.903319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 18\/(-8))*(-8)\/3. Let x be 29\/(-5 + 33\/z). Is 58 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + c = -0*c - 7, -3*c = 2*h - 19. Suppose 3*g - 10 = h. Let q = g + 6. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 + 45. Let f(o) = -2*o + 8. Let u(v) = -6*v + 23. Let b(d) = k*f(d) - 2*u(d). Differentiate b(z) wrt z.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, o: 1, b: 1, q: 1}. What is prob of picking 1 o, 1 b, and 2 w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3388127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - 2*j**3 + 4 - 4)*(9*j**2 + 58*j**2 - 15*j**2).\nAnswer: -104*j**5 + 104*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of 1\/720*j**6 + 0 + 0*j**4 + 19*j**2 + 0*j**3 + 0*j + 1\/360*j**5. Solve a(h) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -35 + -2?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3537*p - 3509*p + 4 - 2 + (p - 5*p + 6*p)*(-2 - 1 + 5) - 6*p + 2*p + 2*p to x*p + z and give x.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3 - 530*r**2 - 1054*r - 526.\nAnswer: -2*(r + 1)**2*(r + 263)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99712 and 537510.\nAnswer: 1558","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3*q = -0*q + 11, a - q = 5. Suppose 9*u = -3*b + a*u + 7, -5*u = 5. Put b, 3, -28, -4 in ascending order.\nAnswer: -28, -4, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 109.\nAnswer: -218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 165*m - 7447. Determine f(45).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 41786 - -3?\nAnswer: 41789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 5*j - 4. Let f be w(-3). Suppose -o = 3*o - 24. Let s = -3 + o. Which is bigger: f or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 4*z**2 + 179*z + 1757. Determine j(-9).\nAnswer: 470","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4698847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -18949906 divided by 9474953\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 52*167\nAnswer: 8684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 213 - -76.\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than -3628?\nAnswer: -3628.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 40479125003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6145430 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of -1\/50*i**6 - 1\/5*i**3 - 3\/25*i**5 + 21*i + 0*i**2 + 0 - 1\/4*i**4. Factor z(j).\nAnswer: -3*j*(j + 1)**2*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16\/83 + 4402\/415. Suppose -108\/5*c**3 - 12\/5*c - 81\/5*c**4 - w*c**2 - 1\/5 = 0. Calculate c.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of -17*m**5\/60 + 5*m**3\/6 + 440*m**2. Let y(j) = -j. Give h(y(p)).\nAnswer: -17*p**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1116 and -2.\nAnswer: -2.1116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 - 34 + 19*n**2.\nAnswer: 19*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -16*c**2 + 58*c - 57. Let b be y(2). What is the second biggest value in b, 16, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*r**5\/13 - 3384*r**4\/13 - 3086*r**3\/13 + 19068*r**2\/13 - 1274*r + 4116\/13 = 0 for r.\nAnswer: -21, -7\/2, 1\/2, 14\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c + 3. Let r(k) = -7*k + 6. Let z(n) = 9*i(n) - 4*r(n). Let x be z(-3). Let u = -0.1992 + 0.1292. Which is bigger: x or u?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -202*g**2 - 17955*g + 2074. What is m(-89)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 7*b**2 + 13*b + 3. Let u(d) = -6*d**2 - 12*d - 2. Let r(i) = 3*u(i) + 2*y(i). What is the second derivative of r(x) wrt x?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49 + 103. Is 30066\/q - (-2)\/9 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32851\/90 + -365. Let a(u) be the third derivative of 2\/9*u**4 + 0 + 4*u**2 - 2\/9*u**3 - 1\/60*u**5 + r*u**7 + 0*u - 2\/45*u**6. Solve a(c) = 0.\nAnswer: -1, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t - 14. Let b be p(41). Are b and 29 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h - 34 - 13 - 41 = 0 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*y - 32*y + 26*y.\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -247, -1, -4, -109907 in decreasing order.\nAnswer: -1, -4, -247, -109907","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11908322 < 11908322?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (196 + 356*q - 196)*(-1 - 4 + 3) - 2 + q + 2 + q + 0*q + 0*q + (-2 - 2 + 2)*(-2*q - 3 + 3) to n + u*q and give u.\nAnswer: -706","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31323 + 56004 - 153*h**2 + 2*h - 24681.\nAnswer: -153*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4424.8 and 3.\nAnswer: -13274.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (1 + -15) - (1 - (-5 - -6)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9436397 times -0.5?\nAnswer: 4718198.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62731157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -657555 divided by 295?\nAnswer: -2229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -4.5. Let z = -0.2 + -2.8. Let m = g - z. Sort m, -5, -0.1.\nAnswer: -5, -0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 8:58 PM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5*2*sqrt(2352) + -2*sqrt(2352)*-2)**2 + 4.\nAnswer: 84673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-8) + 13\/52\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -32. What is the remainder when r is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 15 = -15. Find m, given that -1\/4*m**3 + r*m**2 + m**4 + 0 + 0*m = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 430 - 423. Solve 0 = k - 4*h + 18, -4*k - 4*h = -21 - m for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131525 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 14*s - 14. Let r be t(15). What is the first derivative of 15*u**2 - 4*u**2 - 1 - r - 3 wrt u?\nAnswer: 22*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4819542*u**2 + 185810*u - 17.\nAnswer: -9639084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20641333 to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 85 - 139.05853874.\nAnswer: -54.05853874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*l**2 - 296 + 296.\nAnswer: -38*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1745 + 40921373285?\nAnswer: 40921375030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 1:16 AM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l + 0*l + l + (0 + 1 + 0)*((-2 - 4 + 4)*(2*l + 0*l - l) - 6 + l + 6) in the form b*l + u and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*p**3 - 3*p**2 - 5 - p + 5 + 2*p**3 as s + m*p**3 + c*p**2 + h*p and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -5*c**3 - 3*c**2 + 3*c - 3. Let i(j) = -1. Let z(n) = 3*i(n) - m(n). Let q(v) = -11*v**3 - 7*v**2 + 7*v. Determine -6*q(g) - 14*z(g).\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -129603436 divided by -4.\nAnswer: 32400859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -376057680 rounded to the nearest 1000000?\nAnswer: -376000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -250453012 (base 6) to base 15.\nAnswer: -64b5a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + 1 + 2*q - 3)*(q - 2*q + 5*q).\nAnswer: -8*q**2 - 8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 340*n + 367. Let d(k) = -4. Let f(b) = -3*d(b) - g(b). What is the first derivative of f(j) wrt j?\nAnswer: -340","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1656564152?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -117881\/4 - -29471. Let d(a) be the first derivative of -1\/3*a**3 - a**2 - a - 19 + f*a**4. Calculate d(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -4*v + 4. Let n be i(-5). Suppose 12*s = n - 0. Suppose -3*q + 346 = s*k, -3*q + 3*k = -q - 248. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3 + 30*n**2 - 126*n + 98.\nAnswer: -2*(n - 7)**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2211 + 22?\nAnswer: 2233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.317303621 + 0.3173. What is y rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 31? (a) 0.04 (b) -941 (c) 5\/2 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from 1054262.\nAnswer: 1054266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of v**4\/12 - 4*v**3\/3 + 3*v**2\/2 + 2*v. Let l be i(8). Suppose l*s + 23 = 101. What is the remainder when s is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22? (a) -29 (b) 8 (c) -4 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 97 - (5 + -6). Calculate the highest common factor of g and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 411 - 31. Suppose 4*k - 368*d - 98 = -373*d, d - 6 = 0. What is the remainder when i is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38008.98999 rounded to the nearest 100?\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, q: 7}. What is prob of sequence bqbq?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 1:00 AM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 6*n**2 - 4*n + 12. Let l(p) = p**2 + p + 1. Let r(b) = -b**2 + 11*b - 7. Let g(d) = -6*l(d) + r(d). Determine 4*g(m) + 5*i(m).\nAnswer: 2*m**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 188059 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 - -0.2. Let g = 424973 + -7217403\/17. Let r = 420 - g. Which is the smallest value? (a) r (b) k (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12386 and 5.\nAnswer: -61930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 9)*(14 + 13 - n**2 - 2*n**2).\nAnswer: 27*n**2 - 243","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 900 to the nearest ten.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssbmnbnlnbmmmslnsl. What is prob of sequence mb?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 2:07 PM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*g + g = 18, 4*g = m - 22. Does 2 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 35*o + 3. Let r(z) = 34*z + 3. Let q(b) = -2*f(b) + 3*r(b). Is 15 a factor of q(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*b + 6. Suppose b*w = -p + 3*p + 7274, w = -3*p - 10895. Let s = 5170 + p. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7291200 to the nearest ten thousand.\nAnswer: 7290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -14*h**2 + 5*h - 6. Let d(p) = 15*p**2 - 6*p + 7. What is -4*d(x) - 5*n(x)?\nAnswer: 10*x**2 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3*p - 3, 4*g - 3*p = 17. Solve f + g*f - 18 = 3*j, -3*f + j + 16 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 832967*a - 1362151.\nAnswer: 832967","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 5373\/14, -5, -1\/31, -0.3 in descending order.\nAnswer: 5373\/14, 1\/3, -1\/31, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 67 - 15 - 68463*w**3 - 28.\nAnswer: -68463*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -98 at least as big as -1484\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23.939 - -0.061. Let l = a + 41. Let x = l - 64.999959. Round x to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29769300 rounded to the nearest 100000?\nAnswer: -29800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r + 4*q - 1 + 7 - 22 - 30, -r + 3*q = 356 - 325 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011011001110 - 1001111?\nAnswer: -100011100011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 3. Let k(n) = n**3 + 10*n**2 + 4*n + 3. Let t be k(-9). Suppose -t = -16*d - 0*d. Calculate g(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6812 is divided by 524?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 2*j**3 - 3 + 15.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, k: 1, b: 1, q: 4, y: 1}. What is prob of picking 1 k, 2 q, and 1 m?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 142741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 104 + 256 = 11*g. What is the least common multiple of 12 and g?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4*g**2 - 13*g - 5. Let z be (4 + -2)*(-44)\/(-40) - 3\/15. Let w(v) = -3*v - 3 + 2 + v**2 + 0. Calculate z*q(u) - 9*w(u).\nAnswer: -u**2 + u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5268 equal to 342426\/65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002844 rounded to seven decimal places?\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a**2 - 2*a**3 + 4*a**2 + (0 + 0 + a**2)*(-1 - 2*a + 1) + (a + a + 3*a)*(2*a**2 + 2*a**2 + 2 + 59*a - 50*a).\nAnswer: 16*a**3 + 45*a**2 + 10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 5*o = -20. Let f be 4\/4 - 44\/(-3 + -1). Solve -f = o*g - g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -d**8\/7 - 2*d**4\/3 - 13*d. Find the third derivative of y(p) wrt p.\nAnswer: -960*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 10:15 AM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 220 and 15?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 2) + (-63 - -70).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3993.535 rounded to the nearest 100?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 301 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*z**3 + 2 - 5 - 363*z**2 + 363*z**2.\nAnswer: -30*z**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 16*n + 24. Let v(d) = d**3 + 18*d**2 + 2*d + 19. Let t be v(-18). What is j(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/7832 and -43\/10.\nAnswer: 39160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a decade in months?\nAnswer: 3660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - i**2)*(1 - 5 - 2)*(-5*i + 4*i + 0*i)*(5*i**2 - 3*i**2 - 5*i**2).\nAnswer: 18*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 + -38. Let m be ((-2)\/(-6))\/((-1)\/b). Is (m + -1)\/(6\/(-4083)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*h + 90*h - 161*h.\nAnswer: 13*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 17*t + 7 = -18*t, 5*h = -12*t + 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 take away 5956130175?\nAnswer: -5956130174.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3217, 6433, 9651, 12871, 16093, 19317, 22543?\n\"Answer: l**2 + 3213*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -16460, -18462, -20464, -22466, -24468?\n\"Answer: -2002*c - 14458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 22, 0, -22, -1 in descending order.\nAnswer: 22, 0, -1, -22, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from mmmommmohmmmmommh?\nAnswer: 99\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58 - 121 + 63 - 2677*q + 2681*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2 + 4*i**2 - 39674*i - 2*i**2 + 39678*i. Let x(c) = -9*c**2 - 7*c - 4. Let d(j) = j**2. Let r(l) = -5*d(l) - x(l). Determine 6*r(k) - 11*t(k).\nAnswer: 2*k**2 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 31477 divided by 7604?\nAnswer: 31477\/7604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -0.353.\nAnswer: 1.059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 111 = -2*n - 126, -5 = 5*n. Let w be 10\/(10\/m) - 6. Calculate the highest common divisor of w and 123.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(252) + sqrt(252))*5)**2 + (sqrt(252) + -1)**2*1.\nAnswer: -12*sqrt(7) + 56953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -87068 or -348273\/4?\nAnswer: -348273\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.5 (b) 3 (c) 0.0062 (d) 2\/9 (e) -31 (f) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -353 (base 6) to base 10\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of 4*x**2 + 0*x - 1\/30*x**5 + 0 + 5\/12*x**4 - 7\/60*x**6 + 2\/3*x**3 - 1\/105*x**7 + 1\/84*x**8. Solve d(l) = 0.\nAnswer: -1, -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 90541.85 to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2625 divided by -875?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56.1 - 55.9. Let x = -0.11 + 0.01. What is the second biggest value in x, w, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fofcfhofof. What is prob of sequence chf?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 187, 0, -4, 380, -2 in increasing order.\nAnswer: -4, -2, 0, 2, 187, 380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 7 + -2 + 2 + (9 - 9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -5*x**3 - 6*x**2 - x + 4. Let t(g) = -4*g**3 - 5*g**2 - g + 3. Let z = -8 + 4. Let y(f) = z*t(f) + 3*l(f). Find k, given that y(k) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8\/39, 4\/7, 0.14, -3\/7, -3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 736937170.2 rounded to the nearest 10000?\nAnswer: 736940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*p + 530*p - 93*p + 209*p + 2*p**2.\nAnswer: 2*p**2 + 734*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3816*s - 2001*s - 1982*s + 9.\nAnswer: -167*s + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -377 = 5*q - 8*q - 4*l, 5*q - 639 = -4*l. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2255262)\/(-387801) + 12\/(-318)?\nAnswer: 52\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 3*q**2 - 2*q - 1. Let u = 5 + -2. Let r = u + 0. Suppose -9 = -3*y + r. What is v(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -6 - 1) + 0 - 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 94a (base 11) to base 12\nAnswer: 7b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + o**2 - 1)*(26 + 8 + 13)*(o + o + 0*o) as k*o + t*o**2 + d*o**3 + h and give d.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -3.06. Let w = 4.06 + v. Let m = w + -7. Sort 0.4, 0.5, m in increasing order.\nAnswer: m, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dt when two letters picked without replacement from {u: 1, d: 2, t: 1, h: 2, y: 1, w: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 9*w + 2. Let f be b(-1). Let m = f - -9. Suppose m*y = 6*y - 1996. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v**2. Let x be i(-1). Suppose -x*c + 24 = -3*c. Suppose c = l + 2*l. Is 8 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 14*t**3\/3 - 315. Let f(x) = -165*x**2. Determine g(f(q)).\nAnswer: 381150*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 994*x + 296*x - 42570 = 0 for x.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w. Let p(l) = -4*l. Let m(j) = 5*h(j) + 3*p(j). Let f(v) = 9*v**2 - 4*v. Give m(f(r)).\nAnswer: -18*r**2 + 8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 40289805 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o - 18. Suppose 7*h + 80 = 2*h + 3*r, -51 = 2*h - 5*r. List the prime factors of b(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - u - 4. Let r(o) = -o**2 - 4*o + 63. What is the remainder when g(-3) is divided by r(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -106, -273, -554, -949, -1458, -2081, -2818?\n\"Answer: -57*o**2 + 4*o - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + d - 12. Let p be t(-5). Suppose -6 - 18 = -4*g. Let w = p - g. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 610 is divided by ((-51)\/(-68))\/(6\/(-16)) + 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*m - 95. Suppose -4*w + 6 = 4*z - m, 4*w + 16 = 4*z. Solve -4 - 6 = z*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -u**3 + 25*u**2 - 29*u. Let g be d(8). Suppose -a + g*a = 1574. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/4766 - -98899\/21447. Suppose 11*p - 17*p + 12 = 0. What is the common denominator of d and (3\/(-4))\/(p + (-1785)\/906)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2278l in millilitres?\nAnswer: 227.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15343 is divided by 215?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12736 to the power of 1\/2, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2152 + -0.25913503?\nAnswer: 2151.74086497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 7*z - 5. Suppose -5*g - 76 = 3*p - 245, 4*p = 5*g + 202. What is the remainder when p is divided by t(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (25 - 23) + -11 + (2 - 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -12. What is the derivative of 0 - 1 - x*j**4 - j**4 + 4*j**4 wrt j?\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/10 + 18\/10. Suppose -2*a - 18 = -a + 4*l, -a - 3*l = 16. Let m be 1\/i - (-1)\/a. Is -1 greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000131110 (base 4) in base 14?\nAnswer: -6c308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z + 3*z + 2*z + (0 + 1 + 1)*(6*z + z - 3*z) + 2*z + z - 4*z - 2*z - z + 0*z + 4*z - 2*z + 0*z + (-z - z + 4*z)*(-1 + 3 - 4).\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 3290 = -945. Is i a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222201020001002 + 11?\nAnswer: 222201020001020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2 - 16*l - 12. Let k be b(11). Suppose -4*q = -14 - k. What is the highest common factor of q and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148 + 147 - 440 + 71643*l + 145.\nAnswer: 71643*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w + 2*w - 2*w + 0*w. Let c(b) be the second derivative of -b**4\/6 - b. Give q(c(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 117, 249, 381, 513, 645?\n\"Answer: 132*w - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -60 + 60. Suppose v*i = 4*i - 2*j - 568, 3*i + 2*j - 433 = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 t, and 2 j when four letters picked without replacement from jeextgeqeqqjexeejj.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -2*j - 92, -3*j + 2*x - 160 = j. Let q = -0.01118 - -4.26018. Let v = 0.249 - q. Which is the nearest to 1\/4? (a) j (b) 3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -96*w - 3900. What is l(-43)?\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1071)\/(-9 + -42) + 15?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -27, -15, 23, 99, 225, 413, 675?\n\"Answer: 2*z**3 + z**2 - 5*z - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1187752881?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7470?\nAnswer: 2, 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13264325?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3761 and 203842439.\nAnswer: 3761","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28716?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29d225 (base 16) to base 5.\nAnswer: -1200201043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of r**2\/2 + 6*r - 20. Let x be m(2). Calculate the highest common factor of 72 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17699347345 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 96403703*j**6 - 99745639*j**2?\nAnswer: 11568444360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 205436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-1)*-1)\/(145\/(-290))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 - 13 = -8*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 4:22 PM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -238630, -477261, -715892, -954523, -1193154, -1431785?\n\"Answer: -238631*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 164589 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -164 - -164. Let l = 0.06 - -3.94. Let z = -12 - -8. Put z, l, m in decreasing order.\nAnswer: l, m, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 275.\nAnswer: -9\/275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56318 is divided by 3718.\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6845724?\nAnswer: 2, 3, 190159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -3\/7 (b) -0.3 (c) 1092 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 + 4)*4*-1. Suppose -3*v = 2*u - q - 0, -2*v - 3*u + 6 = 0. Factor v + 4 - 46*o + 8 + 14*o**2.\nAnswer: 2*(o - 3)*(7*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3*s = -8*a + 96, -4*a - 3*s + 124 = 0. Solve a*h - 4 = 27*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**2 - 4291. Let z(d) = 22*d. What is z(a(r))?\nAnswer: -44*r**2 - 94402","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 881 + 4003 = 4*h, i = -2*h + 1559. What is the hundreds digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28877, 57693, 86509?\nAnswer: 115325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -11*a**2\/2 - 24*a - 179. Let t(s) = 6*s + 11. Let z(k) = 13*t(k) + 6*y(k). Let g(v) = -3*v**2. Calculate g(z(m)).\nAnswer: -432*m**2 + 72*m - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and 275447?\nAnswer: 275447.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 times 18.4527?\nAnswer: 221.4324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, 13, -12 in descending order.\nAnswer: 13, -12, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j + 3. Let g(c) = -c**3 - 7*c**2 + 10*c + 17. Let n be g(-8). Let d be w(n). Solve 1 = 2*y - d for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -7*a**6\/6 + 7*a**2\/2 + 1. What is the second derivative of n(j) wrt j?\nAnswer: -140*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/78*((-396)\/(-33))\/(-4).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -18 - 10) + -4 - -10.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s + 3. Let q be x(2). Let g be (-2)\/(2 + -2 - q). Let i = 159 + -137. What is the highest common factor of i and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 672468649.\nAnswer: 2441, 275489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 199*c**2 - c + 1985 wrt c.\nAnswer: 398*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 4 - (11 + 0) - -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-5))\/(1\/(-385)). Let z(i) = -13*i - 82. Let s be ((-24)\/9)\/(4\/12). Let l be z(s). Calculate the highest common factor of l and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 2*x + 8 - 3, x + j = 0. Suppose -7*m = -2*m - 60. Suppose 0 = -5*l + 4*z - 32, -x*l - 41 + m = -3*z. Sort -7, l, 2 in ascending order.\nAnswer: -7, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6468, 4265, 2060, -147, -2356, -4567, -6780?\n\"Answer: -n**2 - 2200*n + 8669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -29862 divided by 9351?\nAnswer: -3318\/1039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(3\/5*5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-31 - -41) - (-2 + 2 + 10).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 2*a = 3*a - 7, -3*a - 24 = 3*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-66)\/84 - 2\/(-7). Let b = -2.5 + 1.8. Let z = b + 1.7. Which is smaller: j or z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 74.3 - -12.7. Let i = -87.1 + h. Which is the nearest to -4? (a) -3\/2 (b) i (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 3130 + 395. What are the prime factors of w?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514243 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 148165*p**3 - 4148615*p**2 + 29040200*p + 980.\nAnswer: 5*(p - 14)**2*(29633*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -121 - -69. Let i be q\/(-2) + (-1 - -1). Suppose 4*a + 3*j - 5 = 5, -4*a + 5*j = -i. What is the smallest value in a, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55 - 35. Suppose -2*q = -i + 5, -3*i - 24 + 4 = q. Let v = h + i. Does 5 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2 - 6 = -3*f, 3*y - 4*f + 11 = 0. Let i be (-40)\/(-20)*(-2)\/4. Which is the nearest to y? (a) i (b) 0 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10 + 729*b**4 + 14556*b - 7311*b - 7322*b wrt b.\nAnswer: 8748*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30666923.24 rounded to the nearest 100000?\nAnswer: 30700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p - 8*p - 1521 = 0. Let m = p - 76. What is the remainder when m is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 493052 is divided by 492886.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -40*c**3 - 5668*c**2 - 55936*c + 17292 = 0.\nAnswer: -131, -11, 3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o - 2. Let b(n) = -4*n + 3. Let l be b(2). Let p be 4\/10 - (-2)\/l. Suppose u + 0 + 3 = p. Give a(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -u**4\/6 - 54*u. Let q(j) = -5*j**2 - 44*j**2 - 59*j**2 - 21*j**2. Calculate k(q(z)).\nAnswer: -33282*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29072 + -43142845\/1484. Let u be (-905)\/(-112)*(-50)\/53. Let m = u - o. Find the common denominator of m and 25\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7483, 4, -0.2 in decreasing order.\nAnswer: 7483, 4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(39\/(-4) - -10). Let m(b) be the third derivative of 0 + 3*b**2 + 0*b + g*b**4 + 1\/2*b**3. Determine m(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001000 (base 2) in base 13?\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04444 - 2.74809?\nAnswer: -2.70365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 1075790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3423.612 - -7.388. Let f = -3430.977066 + q. Let c = 0.023 - f. Round c to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/2 + 8010511*k - 64168286481121\/2.\nAnswer: -(k - 8010511)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q\/(q\/q**(-1\/3)))**(-5\/14))**7)**(-8))**(-4\/11) assuming q is positive.\nAnswer: q**(-160\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 23*n**3 - 29*n**2 + 13*n + 2. Let z(b) = -8*b**3 + 10*b**2 - 5*b - 1. Let q(t) = -4*d(t) - 11*z(t). What is the tens digit of q(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63878014 and 482?\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 22, 40, 40, 16, -38?\n\"Answer: -y**3 - 3*y**2 + 34*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/20*(-2)\/6)\/(20\/(-80)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52874, 105746, 158620, 211496, 264374, 317254, 370136?\nAnswer: 423020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r - 17. Let t(u) = 3*u - 60. Suppose -4*m + 3*n - 17 = 0, m - 354*n = -352*n - 3. Give m*t(b) + 18*f(b).\nAnswer: 3*b - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -144 - 63 + 4*x - 28 - x**4 wrt x?\nAnswer: -4*x**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of 1\/12*h**4 + 5*h + 0 + 2*h**2 + 11\/6*h**3. Does 4 divide a(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from jjjjjjjjpjjpjppp?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 50, 149, 302, 509, 770?\n\"Answer: 27*p**2 + 18*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 97433014.\nAnswer: 974330140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - -2 - (1 - 5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.039 from -32.\nAnswer: -32.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 2, -3, 81020 in ascending order.\nAnswer: -3, 2, 19, 81020","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1793*m - 464255 = -256267 for m.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 54944601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107355769.\nAnswer: 83, 281, 4603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -8466924852806 and 5.\nAnswer: -8466924852801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 11:46 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 701310232 to the power of 1\/5, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 - -27. Let m = -7 + 6.7. Let w = 4 + -3.5. Sort w, m, c.\nAnswer: c, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -r**2 - r - 2. Let u be 1*((-4 - -2) + 0). What is q(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(3\/8)*(-522)\/348?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 814960*s**3 - 28174*s**2 - 19 wrt s.\nAnswer: 4889760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.8454 to one dp.\nAnswer: -5.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**2 - 9*o + 10. Let j be k(-7). Let m = j + 41. Let y = -68 - -98. What is the remainder when y is divided by m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-510)\/(-45))\/(19\/57).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 98*x**2 - 4*x - 161. Let s(n) = 172*n**2 - 7*n - 322. Give 7*l(d) - 4*s(d).\nAnswer: -2*d**2 + 161","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -56\/11*a - 16\/11 + 68\/11*a**2 - 18\/11*a**3.\nAnswer: -2*(a - 2)**2*(9*a + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5605*k**4 - 2*k - 8*k + 5608*k**4)*(-5 + 2 + 4)*(2 - 2*k - 2).\nAnswer: -6*k**5 + 20*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 + 26. Solve -3*m - 1 = 3*y + 2*y, -v*m + 15 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 185202 to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - 8) + (90\/(-108) - 262\/60).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -14*d. Let l(n) = 50 + 43 + 2*n**2 - 93. Determine f(l(i)).\nAnswer: -28*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence onos when four letters picked without replacement from {o: 3, s: 2, h: 4, n: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 - 8 + 3)*(-2*m**2 + 4*m - 4*m)*(-27 - 11*m**2 + 27) in the form r*m**4 + w*m**3 + q*m + t + n*m**2 and give r.\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1695)\/452*1\/6.\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -4*t - 12, -3*t - 3*k - k = 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -161874 divided by -1173.\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6614362, -13228618, -19842874, -26457130?\nAnswer: -33071386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 1 - 2 - 13*-1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17241.4 plus -4?\nAnswer: 17237.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -4) + -2 + 14 + -21.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) + (sqrt(15) - 3*sqrt(375)))\/(sqrt(45)*-3) + -4.\nAnswer: -4 + 13*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 71*g**3 + 24*g**2 - 35. Let t be j(7). Which is bigger: t or 25493?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64062 (base 11) in base 13?\nAnswer: 33592","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence es when two letters picked without replacement from dhbxdesbesdhhdhdsd.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {j: 5, u: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/30 and 23\/6103?\nAnswer: 183090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 155 - 28. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -153, -141, -115, -69, 3, 107, 249, 435?\nAnswer: 671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -62, -173, -298, -443, -614, -817?\n\"Answer: -z**3 - z**2 - 101*z + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.17 + -0.07. Put -4\/5, g, 0.3, -6 in decreasing order.\nAnswer: 0.3, g, -4\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 2*n + 2*n. Let u = -11 + n. Let w = 31 - 19. What is the remainder when w is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/11)*x**(1\/6)\/x*x*(x\/((x\/(x\/(x*x**3)*x))\/x))**(-16))**(-31) assuming x is positive.\nAnswer: x**(-32705\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 78*c**2 - 4*c. Let a be v(-3). Let x = -421 + a. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90677*d + 90676*d - 1 + 22 + 7.\nAnswer: -d + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -10*q + 4, -4*f = q + 11. Let w = -23 + 42. Let c = -13 + w. Sort -1\/8, f, c in descending order.\nAnswer: c, -1\/8, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 6*j = 15. Let a be 275 + j\/(6\/(-4)). Suppose 4*z - 5*y = a, -3*y - 123 = -4*z + 144. What is the highest common factor of z and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from cmmmmc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33\/((-4125)\/(-14950))*590\/4?\nAnswer: 13, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227132427?\nAnswer: 3, 17, 211, 21107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-48) - 2*(-1)\/3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**4 - x**3 + 6*x**2 + 4*x - 8 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -135143 - 3?\nAnswer: -135146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(306)\/(2*sqrt(6)))\/(sqrt(3)*-4*-2))**2.\nAnswer: 17\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1073*5*(-4)\/20?\nAnswer: 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -3*q**5 - 9963396*q**4 - 11029957614780*q**3 - 4070289664836912000*q**2 - 48842108275732992000*q - 81403146131619840000 = 0.\nAnswer: -1107040, -10, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 8*n**2 - 6*n - 7. Let m be k(7). Let s = 5 - 2. Solve -15 = s*r - m*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 + 0*(-1)\/2. Let g(v) = v**3 - v**2 - v - 1. Let u(i) = -2*i**3 - 4*i**2 - i - 5. Let r(b) = j*g(b) + u(b). List the prime factors of r(-2).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 92, 265, 560, 983, 1540, 2237?\nAnswer: 3080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/9 (b) -3\/7 (c) 0.2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (10*(-8)\/220)\/(-1)\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1896\/5*d**4 - 3\/5*d**5 - 301458\/5*d**3 - 119448*d**2 - 59535*d.\nAnswer: -3*d*(d + 1)**2*(d + 315)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 198166779?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*y)*(5 + 2 - 5)*(-2*y + 8*y - 8*y).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9, -13, -5, 21, 71?\n\"Answer: m**3 - 11*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59 - 56. Let k(r) = m*r**2 + 1104 - 1104. Let o(b) = 3*b**2. What is o(k(s))?\nAnswer: 27*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7333 = 3571*k + 25188 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 205 - 222. Let z = v - -21. Solve 0 = -0*n - z*n + 12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365551 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) + (sqrt(136) - (4*-1*sqrt(136) + sqrt(136) + sqrt(136))))\/(sqrt(648)*-1 - sqrt(8)) + 4 + -5)**2.\nAnswer: 4*sqrt(17)\/5 + 93\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4382 + -3.\nAnswer: 4379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of j**5\/30 + 163*j**4\/18 - 329*j**3\/9 + 55*j**2 - 183*j. Suppose c(w) = 0. Calculate w.\nAnswer: -165, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/4 of a gram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**3\/3 - 280*c**2\/3 - 3626*c\/3 - 4116 = 0?\nAnswer: -126, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4834, -4873, -4960, -5113, -5350, -5689?\nAnswer: -6148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 41\/8 - (-3)\/(-24). What is the fourth biggest value in 4, -4, 0.2, d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20)\/(-50) + 33\/5. Let p(b) = 4*b**2 + 14*b + 10. Let s(u) = 3*u**2 + 13*u + 10. Let f(h) = 5*p(h) - 6*s(h). What are the prime factors of f(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by ((-89)\/(-178))\/(1\/40)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3777127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*v - 111459881 + 111459881.\nAnswer: -28*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4*c**2 - 12*c - 7. Let i be o(-3). Let j(u) be the first derivative of u**3 - 2*u**2 - 3. Let a(d) = -6*d**2 + 7*d. Give i*j(p) - 4*a(p).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1016 - -1?\nAnswer: 1017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 26 + 18 = 0. Solve t*v = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j - 1. Let v be a(-1). Suppose 5*u - 71 - 44 = v. Solve -d + 3*f + u = -2*f, -5*d - 4*f - 30 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 3:04 PM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12.48? (a) 0.2 (b) -1\/5 (c) -0.4 (d) -0.05 (e) -4\/5 (f) 2\/89\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5524231 (base 10) to base 13\nAnswer: -11b559b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**2 + 19553*g = 0.\nAnswer: 0, 19553","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (13 - -20 - 22) + -9\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -87\/5 or -17?\nAnswer: -87\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 m when two letters picked without replacement from dmdmdzmmm?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 11:50 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 66 + 10 + -42?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -7. Let t(x) = -x**3 + 4*x**2 - 2*x + 4. What is t(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 440?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 28 = 5*f - 10, -2*f - 3*n = -10. Let q(m) = -84*m - 57. Let y be q(-6). Suppose y*x + 52 = 460*x. Solve a = 3*c + f, -x*a + 5 + 10 = 5*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 124966596\nAnswer: 1\/41655532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -111710 at least -4803498\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2948194)\/104487 + 2\/(-6). Let w = j - -828\/29. Let g = -34847\/7206 + w. What is the common denominator of 77\/6 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 0.013?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 891b (base 14) in base 15?\nAnswer: 707b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**2 + 4*d**2 - 3*d**2 + (d**2 - 2*d**2 + 2*d**2)*(-14 - 1 - 1).\nAnswer: -15*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z + 3*z - 4*z + (4*z - 3*z - 2*z)*(-4 + 4 - 6) + 28*z + 29*z - 44*z.\nAnswer: 21*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 497?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 258 + -96. Suppose 7*q - l - 1987 = 0. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-10))\/((-14)\/5*-1)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1352051?\nAnswer: 131, 10321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-438)\/146)\/((-9)\/(-3)*1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-10) + (-102)\/(-30). Let a(o) = -2*o**2 + o - 3. Let j be a(w). Let z(d) = -d - 1. Let m(u) = 5*u + 4. Determine j*z(t) - 4*m(t).\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b**2 + b + 2. Let q be h(-1). Let o(s) = -s + 4. Let p be o(q). Suppose 7*j - 3*j - 152 = p. Is j a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1068)\/23140)\/(153*10\/(-780)).\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39 - -36. What is the third biggest value in 1\/2, s, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1320432.\nAnswer: 2, 3, 27509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46\/35 - 1191\/560. Let h = 3210 + -25719\/8. Calculate the common denominator of r and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of o**7\/1050 - o**6\/900 + o**3 + 3. Let p(m) be the third derivative of z(m). Suppose p(t) = 0. What is t?\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -t**3*x - 5*t**3*z**3 - 1311*t**3*z - 165945*x*z**3 wrt x.\nAnswer: -t**3 - 165945*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-30)\/(-18) + (-28)\/(-12). Suppose u*v - 25 = -5. Suppose -3*l = -v*g - 2*l + 143, 0 = -3*g + 3*l + 81. What are the prime factors of g?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 0)*(8 - 8 - 4*p)*(-7*p**2 + 0*p**2 + 3*p**2) to the form b*p + l*p**2 + k + o*p**3 and give o.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -934322 and -2.\nAnswer: 1868644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 64*a**2 - 92*a + 9737. Give r(63).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1f5cd (base 16) to base 10\nAnswer: -128461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -11*o**3 - 4*o**2 + 3*o - 1. Let c(a) = -a**3 + a**2 - a. Determine -4*c(v) - l(v).\nAnswer: 15*v**3 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10825*o*r**2*t**3 + 33*o*r**2*t**2 + 6*r**2*t**2 + r**2 wrt t?\nAnswer: -64950*o*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -40, -72, -104, -136, -168, -200?\n\"Answer: -32*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3 - (-5 - 64\/(-22)) and -68\/87.\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -94 - -189\/2. Which is the biggest value? (a) 24 (b) -4\/3 (c) 0.4 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1167512 divided by 38.\nAnswer: 30724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -124723 greater than or equal to 3\/1138?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9881931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + o + 11 = -8*h, -h + o = -1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.022 and -1207.11?\nAnswer: -26.55642","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, -83.6, 4 in decreasing order.\nAnswer: 4, 1\/10, -83.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*y + 96. Calculate the remainder when 65 is divided by ((-5)\/30*9)\/((-3)\/y).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 6 = -i + v, i = 5*v - 10. Suppose i = -k - 0*k. Let n = 2 - k. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 1\/5 (b) 6\/19 (c) 0.1 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/3)\/(p\/((p\/(p\/p**(3\/2)*p))\/p)))\/(p**(2\/9)*p*p*p)**(-35))\/((p*p\/p**(-1))\/p**(1\/3)*p**(3\/2)\/p*p**3) assuming p is positive.\nAnswer: p**(949\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 5. Let n = 4 + -7. Let y = n - q. Sort y, 0, 4.\nAnswer: y, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 732639 (base 11) in base 14?\nAnswer: 22815c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2978 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -17*j**3 - 4*j**2 - 4*j - 4. Let a(v) = -35*v**3 - 9*v**2 - 9*v - 9. Let u be -5*((-142)\/(-213) - (-4)\/30). Determine u*a(o) + 9*r(o).\nAnswer: -13*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/5 (b) -9 (c) 2 (d) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22846.\nAnswer: 2, 11423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -491.44 + 483. Round q to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 323 and 2900179.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 + 7*w. Let o be s(7). Let f(h) be the second derivative of 0*h**2 + o + 2*h + 0*h**3 + 2\/3*h**4. Let p(d) = d. What is f(p(t))?\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -y. Solve 0 = -2*z + 3*l + 4, 5*z - l + 2*l - 10 = y for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gq when two letters picked without replacement from llgqqqql?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d**2 - 11*d + 34. Let i be o(9). Calculate the highest common factor of 623 and i.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 48 = -4*w. Is 8 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (119\/(-182))\/(48960\/8640)?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*k + 75*k - 619*k - 10455 = 0 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*s - 105028 - 1630. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2*m = 25, -2*f - 3 + 13 = -2*m. Suppose 0*l + f*l = -35290. Let r = 56535\/8 + l. Calculate the common denominator of r and -65\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100441 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11167745?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -93450, -178817, -264174, -349515, -434834?\n\"Answer: z**3 - z**2 - 85371*z - 8079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18167.\nAnswer: 37, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - 2)\/(2\/4). Let o = t - 1. Let d = 4 - 2. Is o not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 251700 divided by 1678.\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4585 + 883.\nAnswer: 882.5415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80)*-1 + (sqrt(5) - (sqrt(200)\/sqrt(5))\/sqrt(8)) + (sqrt(15)\/(sqrt(3)*2)*2)**2.\nAnswer: -4*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 13 = 5*z - s, z = 3*s - 17. Put 5, 1, 2, z in decreasing order.\nAnswer: 5, 2, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16589 + 331703\/20. What is the common denominator of -61\/4 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57) + (sqrt(912)*5 + sqrt(912) - sqrt(57)) + sqrt(228)\/(sqrt(4)*-1))\/((sqrt(36) - sqrt(36)*1)\/sqrt(12) + sqrt(3) + (sqrt(243)*3 - sqrt(243))).\nAnswer: 23*sqrt(19)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**3 - 16*x**2 + 88*x + 480 = 0?\nAnswer: -10, -4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/10 - (-40)\/(-3600)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 c when two letters picked without replacement from xlccyywxcwlwxlll?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 82, 125, 168, 211?\nAnswer: 254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -r**4\/9 + 4*r**3\/9 - 10*r. Solve z(d) = 0 for d.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-12 + 22 + -3 + 4 - 62).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -46. Suppose -2*z + 4*z = -2*q + 26, -3*q - s = -5*z. Solve 4*p - 5 = z*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -24\/85 and -37\/17.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a factor of 70079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3\/464 - 293\/464. Is 0 > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -683*c**3 + 1424*c**3 - 684*c**3.\nAnswer: 57*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2258101023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 258 divided by -6\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 160 + -163. What is the closest to -1\/2 in 22, n, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(26\/(-9) - -3). Let t be (-6)\/15 + 4\/(-15). Let o = -1.0501 + 0.0501. Which is the third smallest value? (a) t (b) r (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ukuujtj. Give prob of sequence utu.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (86\/18)\/((-355)\/3195).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-1424349.8\nAnswer: -712174.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -22, -24?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29*f*x**3 + 33*f*x**2 - 57*x**5 - x**3 - 3*x**2 - 14 wrt x?\nAnswer: 174*f - 3420*x**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5353*u**3 - 6158 + 6165 + 5356*u**3.\nAnswer: 3*u**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 4*i - 6, 3*c = -2*i + 5*i. Differentiate -1 + 2 + 0*x**i - x**2 + 0 with respect to x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1311263 and -0.5?\nAnswer: -655631.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 285740282 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -160 + 180 - (-2 + 2\/8*4).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14.86 + 0.14. Let b = v - 14.9986. Let t = b - -28.0986. Round t to 0 dps.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k - 1. Let v(l) = 3*l + 2. Let o(m) = m**2 - 49*m - 94 - 64*m + 126*m - 40*m. Let w be o(30). Give w*v(p) - 5*r(p).\nAnswer: -2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1 + 1 + (sqrt(13) - (-4*sqrt(13) - sqrt(13))**2))*-1.\nAnswer: -sqrt(13) + 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fxx when three letters picked without replacement from xffffxfff.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-6*5\/(-15)). Solve 2*d + 2 = -2*w, d = 2 + z for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 10, i: 4}. What is prob of sequence ti?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-2)*1 + 8. Solve -w*h + 2*h = -4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -18*b**2 + 8*b - 8. Let r(k) = -1. Let t(u) = -n(u) + 5*r(u). Is t(13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, 5, 0.19, 1\/4, -1\/8 in descending order.\nAnswer: 5, 1\/4, 0.19, 0.01, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 s when two letters picked without replacement from yoyyyssyszs?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 305428169 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.041 and 21?\nAnswer: -0.861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 454521217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 98764 and 8.\nAnswer: 197528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 0.9, -5, -0.2 in descending order.\nAnswer: 5, 4, 0.9, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 421?\nAnswer: -423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-132*9\/756)\/(-11).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of r**7\/105 + 37*r**6\/120 - r**5\/10 + 380*r**3 + 4*r**2 + 4*r + 4. Find the first derivative of u(m) wrt m.\nAnswer: 8*m**3 + 111*m**2 - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -62*p**2 + 3*p + 17?\nAnswer: -124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 113139, 226285, 339433, 452583?\nAnswer: 565735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 109 - 89 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1152 = -3*k + 3*q, 4*k - 2*q + 370 = 1910. Let m = -771\/2 + k. Which is the nearest to 3? (a) -0.4 (b) 1\/7 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3727021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -120 (b) 0.42 (c) -5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 - 38. Which is the closest to -1\/2? (a) s (b) -1 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4*h**2 - h. Let a(w) = 442*w + 3080. Let z be a(-7). Let q(t) = 11*t**2 + 3*t. What is z*j(r) - 4*q(r)?\nAnswer: 12*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.24 - 0.272. Round j to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 45, 7\/8, 0.11, 1\/5, 1?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/8 in 12\/89, 0.4, 0.21, 0.5?\nAnswer: 12\/89","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 48965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*q + 25 = 45*q. Solve -q*m = -8*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 2265 = i + 2267, 11*i = -2*h - 35 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -2008.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**6*z**8*((z\/(z*z*z**(-1)*z))\/z*z*z)**43*(z**(2\/5))**(-3\/7)\/((z**(2\/7)*z)\/z*z)**(-2\/9) assuming z is positive.\nAnswer: z**(494\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8740*x**6 + x**4 + 12124*x**3 - 63*x**2 - 4020016*x.\nAnswer: -1048800*x**3 + 24*x + 72744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*a = -125*a - 13. Solve m = 3*f + f + a, -m = 5*f + 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 3*w + 8. Let z(u) = 3 - 9 + 7 + u**2. Let o(g) = t(g) + 4*z(g). Let j be o(-5). Solve -9 = -2*i + 6*l - l, -j*i - l + 3 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -6, -10, -14?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**4 + 3*f**4 - 7*f**4)*(2*f + f - 2*f) - f**5 - 2*f**5 + f**5 + (-822*f + 822*f - 367*f**4)*(-6*f + 9*f + 0*f) - 2*f**5 + 2*f**5 - f**5.\nAnswer: -1106*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1702324461 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 1740.\nAnswer: 870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112079 to the power of 1\/3, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4\/179, 7, -4\/7?\nAnswer: 4\/179","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*z - 8*z = 7*z - 180 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m + 63*m - 22*m = -61*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iiwwiwwiwwwiiiwiiww?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 2\/7, 5, -65\/12, -6, -44 in decreasing order.\nAnswer: 5, 2, 2\/7, 0, -65\/12, -6, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of 7*q**6\/216 + 17*q**5\/4 - 55*q**4\/9 - 91*q**3 - 73. Let w(r) be the third derivative of i(r). Factor w(v).\nAnswer: 5*(v + 44)*(7*v - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k\/k**(-7)*k)\/k*k*k*k*k\/(((k**(-20)\/k)\/k)\/k)*(k*k**(-13)*k*k)**42 assuming k is positive.\nAnswer: k**(-383)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 4 + 5 + 2 - (-31 - -35).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 387838 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2894565*u**2*z**2 - u*z + 464746*z**2 - z + 2 wrt u?\nAnswer: 5789130*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 2916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 5*m - 1 + 22 = 0, -5*m = -5*r - 5. Suppose r*h = 6 + 2. Let w = -2 - -2. Solve i - h = -w for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1872)*-1 - 6*sqrt(130)\/sqrt(40) - (-1 + (sqrt(468) - (sqrt(468) + 1 + 0))))**2.\nAnswer: 36*sqrt(13) + 1057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -4842*o - 79. Is b(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 261 = r - 130. Calculate the greatest common divisor of 23 and r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 409 - 24c?\nAnswer: 18a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 3*v + 5*v**2 - 4 + 4*v - 21*v**2 as w*v**2 + k*v + d and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 431*n + 14 = 426*n + 49 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31.1 + -30.63. Let x = c + -0.4699845. What is x rounded to six decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of d**4\/12 + 11*d**3\/6 - 32*d**2 - 19*d. Let g be k(-15). Sort 1, g, -3, -5 in ascending order.\nAnswer: -5, g, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -2 - ((-64)\/1)\/2 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -5*r - 3*s, -s - 2*s = 4*r + 3 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0963 - 3.9037. Which is the nearest to 2? (a) -0.06 (b) 0 (c) -0.5 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -r - 5, 9*r + 4 = -4*g - 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 23103011?\nAnswer: -23103013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-115)\/(-20) - (-1)\/4. What is the greatest common factor of 30 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pipppxippppoxp. Give prob of sequence ii.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3 - 2*b + (1 + b - 1)*(-2 - 1 + 1) + 0 + 0 - 2*b - 2*b + 289 - 284 + 12*b to the form c + u*b and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1000222020002 (base 3) to base 16\nAnswer: 8669f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(891) + 3)*-5.\nAnswer: -45*sqrt(11) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*t + 49*t = 240570. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66a (base 12) to base 15.\nAnswer: -431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 - 28. Suppose -4*r = -0*r - m*z, 2*r = -z. What is y in 3\/2*y**5 - 3\/2*y**3 + 0 - 3\/2*y**2 + 3\/2*y**4 + r*y = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -195286, -780893, -1756904, -3123319, -4880138, -7027361?\n\"Answer: -195202*x**2 - x - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 22.395*7\nAnswer: 156.765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 7 - 8 - 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -239 > -245?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/5 (b) 113.5594 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5281880 to the nearest integer?\nAnswer: 2298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6631 - 10333?\nAnswer: -402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -73305 minus -0.242?\nAnswer: -73304.758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -113*m + 676. Let l be i(6). Let z(f) = -f**3 + 7*f**2 - 5*f - 4. Let w be z(6). Which is the nearest to l? (a) w (b) -3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20 and -0.08.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -1869*f - 9. Let a(s) = -5603*s - 30. Give 2*a(j) - 7*b(j).\nAnswer: 1877*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*z - z - 5*z)*(-19 - 52 - 53) in the form g + b*z and give b.\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus -37651.058?\nAnswer: 37646.058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -163\/14 + 129\/7. Find the common denominator of 47\/77 and n.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111110110010011 (base 2) to base 4.\nAnswer: 113312103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*m)*(24*m - 24*m - 10*m**3).\nAnswer: 20*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -218, 0.5, 49026?\nAnswer: -218","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26151048 by 66.\nAnswer: 396228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h - 4772223 + 4772223.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213 - 5 = -24*r + 16 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65458381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -5\/6*l**3 + 0*l + 1\/6*l**4 - 22*l**2 + 0. Let k(h) = 7*h - 9. What is 11*i(c) - 6*k(c)?\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12295754?\nAnswer: 2, 23, 267299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of 27*r**4\/8 - r**3 + r**2. Let i be (-2)\/(-8)*(-14 + 18). List the prime factors of y(i).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 188 = -4*t, -2*d - 62 - 42 = -2*t. Let g = 9 - 4. Suppose g*l - 26 - 34 = 0. What is the highest common divisor of t and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*p + 12*p + 12*p)*((2*p**2 + 3*p**2 - 4*p**2)*(1 - 1 + 2*p) - p**3 + 3*p**3 + 0*p**3).\nAnswer: -4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205290?\nAnswer: 2, 3, 5, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1565, -1571, -1577?\n\"Answer: -6*j - 1559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from taaaat?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o\/(o\/(o**(-2\/3)*o*o)))\/o*o*o**(2\/7))\/(o\/(o\/o**(2\/5))*o)**(-21\/4) assuming o is positive.\nAnswer: o**(4187\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 9) + 0 + 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/5)\/((-12)\/90). Let g be -30*(2 - (-15)\/k). Calculate the highest common divisor of g and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-50)\/(-35) - 14\/98*17. Is b not equal to -2\/10415?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -695 + 695 - 112*u to i + v*u and give v.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 54*u - 28*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1173*i**3 + 1172*i**3 + 1 + 2 - 3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/8 of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10.36 + 9.36. What is the nearest to y in -4\/7, 2, 1\/37?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -70 > 0.19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 900, 897, 892, 885, 876, 865?\nAnswer: 852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -693.\nAnswer: 4\/693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 13*a. Let y(b) = -265*b**2 + 103*b**2 + 87*b**2 + 90*b**2. What is r(y(q))?\nAnswer: 195*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57297354 divided by -192273.\nAnswer: -298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 238711 and 7.3?\nAnswer: 1742590.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1927329 - 1.6714\nAnswer: -1927330.6714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a*a**(-1))*a)**18\/((a\/(((a*a\/a**(2\/5))\/a*a*a)\/a*a)*a)\/a)**(-2\/39) assuming a is positive.\nAnswer: a**(10514\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -10*x**2 - 2*x + 448. What is m(-2)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 116779250*k**3 - 82422094*k**2 wrt k.\nAnswer: 700675500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4*v. Let i(g) = g. Let w = 94 - 95. Let s(z) = 10*z - 306. Let q be s(30). Determine q*i(l) + w*x(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of 0 + 0*y**4 + 5*y - 7\/2*y**2 + 0*y**3 + 3\/20*y**5. Differentiate t(z) with respect to z.\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -5, -2 in decreasing order.\nAnswer: 4, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 7*g + 10. Let t be y(9). Let o(x) = x + 2. What is o(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62 (base 9) to base 16\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 49 = 7. Let v be (u - (-1 + 2)) + 3. Let y be (-1)\/3 + (-14)\/(-6). What is the greatest common factor of v and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -6*u + 8. Suppose 2690 = -10*a + 15*a. Let q(t) = 539 - t + 0*t - a. Determine -c(l) + 8*q(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12946.\nAnswer: 2, 6473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -930, -1957, -2984, -4011?\nAnswer: -5038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 198.705235 to 1 dp.\nAnswer: 198.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mw when two letters picked without replacement from vvvwmjwmv?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 148439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -108*v**2 + 288*v wrt v?\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13.301 and -91.9.\nAnswer: 1222.3619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 14*g**3 + 2*g**2 - 1. Let r be t(1). Let o(i) = -7*i**2 + 24*i - 120. Let f be o(10). Let j = f + 584. Solve -r = -j*a + a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 c when two letters picked without replacement from {e: 11, c: 3, j: 1, b: 1, y: 2}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83 divided by -23.\nAnswer: 83\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -524, -523, -522?\n\"Answer: o - 525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*h**3 - 2 - 4*h**2 + 2*h**4 - 7*h**3 + 2*h**4 - 14*h**3 as g*h + c*h**3 + n + i*h**2 + r*h**4 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.5656299ml?\nAnswer: 0.0005656299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 28*h**2 + 17*h + 33. Suppose 3*v = 4*a - 35, a = -4*v - 3*a. What is the units digit of n(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*v + 1 = 0, -28 + 3 = -2*t + 5*v. Suppose 0 = -t*d + 144 - 149. Sort d, -21, -3.\nAnswer: -21, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 1) + 0 + 2. Suppose 84 = p*i + 2*i. Let l = 40 - i. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 80 - 26. Suppose 2*i + 6*q - q = 57, 4*i = 2*q + m. Suppose 0 = -5*f - 4*t + 46, 3*t + t - i = 0. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (43\/129)\/((-3)\/(-3762)*2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r + 5. Let z be f(6). Let o = 4 + z. Factor 4*w**4 + 3*w**3 - 2*w**4 - 4*w + 4*w**4 - 16*w**o - w**5 + 12*w**2.\nAnswer: -w*(w - 2)**2*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4*(-1 + -1*sqrt(475)) + sqrt(95)\/sqrt(5) + -2 + sqrt(684) + -1)**2.\nAnswer: 54*sqrt(19) + 13856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 3)*(-2*u + u + 0*u) + (-7 + 9 - 5)*(0 - u + 0 - 3).\nAnswer: 2*u + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*c + 12 - 12 - 47*c + 101*c - 2611*c**2 as x*c + s + y*c**2 and give y.\nAnswer: -2611","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 14 = -w + 11, 0 = w + y - 37. Calculate the remainder when w is divided by 27.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -1.46 (c) -52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 4 = -4*q - 14, 2*u - 4 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 142, 266, 476, 772, 1154?\nAnswer: 1622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 945 and 48?\nAnswer: 15120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 318 - 318 - (4 - (59 + (2 - (8 - 4))))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 135512, 135509, 135506, 135503, 135500, 135497?\n\"Answer: -3*y + 135515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b + 3. Let o be v(3). Let p(s) = 26*s + 5. Is p(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 999, 2, -5, -3, -21.\nAnswer: -21, -5, -3, 2, 999","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/2)*(t\/(t\/t**(-1\/8)))\/t)\/(t*t**(-2\/5))**(1\/2) assuming t is positive.\nAnswer: t**(-77\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 253185738 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**4 - 6*q**4 + 5*q**4 + (-47*q**2 + 102*q**2 - 503*q**2)*(-q**2 + 3 - 3).\nAnswer: 450*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 448\/(-49)) + -7.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/10 - 95\/25. Let b be 8\/(-6) - (-4)\/12. What is the biggest value in b, -0.4, n?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 278243310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 4*z. Let o(l) = -l**2. Let t(q) = 4*q**2 - 1. Let p(y) = -5*o(y) - t(y). Let i(a) be the first derivative of p(a). Calculate i(x(g)).\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10674 = 420*u - 1506 for u.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -3*n - 13 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 270731 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and -9.643098?\nAnswer: 14.643098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + b + 4 = -3, -2*b + 4 = g. Let c be g\/12 - (3\/18 - 2). Solve -c*i - 15 = 3*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 211 divided by -20718.\nAnswer: -211\/20718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 209624444 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -179.177 + 179. Let y = i - 2.823. Which is the fourth smallest value? (a) 4 (b) 0.3 (c) 2\/3 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) -2 (c) -358\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z - 40. Let t be v(23). Is t at least as big as 30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 33?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*y**4 + 4235*y**2 + 235901.\nAnswer: 44*y**3 + 8470*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36*j**3*n**2*w - 48*j**3*w**3 - 2*j**3 - 12*j**2*n*w**3 + j**2*n*w + 16*j*n*w - 56685*n**2*w**3 wrt n?\nAnswer: -72*j**3*w - 113370*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 14415*h**2 + 14437*h**2 - 4 + 3 + 0.\nAnswer: 22*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u + 2*u - 4*u. Let a(v) be the first derivative of -5*v**3\/6 + 4*v - 5. Let c(f) be the first derivative of a(f). Give l(c(j)).\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39 + -32. Suppose -g - 5 = 0, 3*y + w = 2*g + 32. Solve -9 - 6 = y*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -5*r**3 - 12*r**2 - 7*r + 13. Let s(l) = -l**3 + l**2 + l. Let y(v) = 4*s(v) - z(v). What is the units digit of y(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3555*q**3 - 793*q**3 - 2766*q**3 + 3*q.\nAnswer: -4*q**3 + 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 93 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t + 12. Give g(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 4, -6, 5, 10 in decreasing order.\nAnswer: 10, 7, 5, 4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*i, -i = -f + 1093 + 880. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, d: 3}. What is prob of sequence dz?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1146, -4565, -10286, -18327, -28706, -41441, -56550?\n\"Answer: -3*b**3 - 1133*b**2 + b - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 95251, 94987, 94725, 94465, 94207, 93951, 93697?\n\"Answer: d**2 - 267*d + 95517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1066161765?\nAnswer: 3, 5, 31, 1061, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-4)*(-35)\/14\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of 12*w**5\/5 + 2*w**3 + 17. What is the third derivative of m(r) wrt r?\nAnswer: 288*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (12 - 18) - (-19 - 1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13904 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2. Let y(g) = g + 5. Let m(t) = 5*n(t) + 2*y(t). Let a be m(-6). Let j = 25 + a. Calculate the remainder when j is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 71615\/12 - 5979. Let g be (-3 + (-39011)\/(-35))*(-50)\/48. Let c = 1155 + g. Find the common denominator of c and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2310929 to the power of 1\/3, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 8*n - 3. Give d(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2555*l - 2717*l + 5268*l. Let m(d) = -773*d**2. Determine m(g(r)).\nAnswer: -12368*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 61 and 262942.\nAnswer: 16039462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.5 (b) -1624 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -448877\/30 or -14963?\nAnswer: -448877\/30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1269*l - 163 = -1270*l. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5)\/(-30)*-2 + 58\/3.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * 441856\nAnswer: 13255.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 3. Let m(t) be the first derivative of 5 + 0*t - 2\/3*t**3 + 2*t**2 - 1\/4*t**4. Give m(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4877790*p + 9 - 4 - 5.\nAnswer: 4877790*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5856*n + 748 = 5900*n for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of 11*i**6\/360 + i**4\/12 - 8*i**3\/3 - 8. Let z(k) be the third derivative of c(k). What is the derivative of z(u) wrt u?\nAnswer: 22*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202141 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13856 - 23786 + 12557 - 21411)*(-2*m - 2*m + 5*m + (0 - 4 + 2)*(-m + 1 - 1) + 4*m + m - 3*m + m + 4*m - 6*m) as j + i*m and give i.\nAnswer: -185984","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1361 - -1363. What is the highest common factor of q and 94?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -655789 divided by -2?\nAnswer: 655789\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*j**2 - 104*j**2 + 23*j**2.\nAnswer: -70*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2297*i*s - 50*i + 16262*s + 12 wrt i.\nAnswer: -2297*s - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rre when three letters picked without replacement from eeeqeereeereree.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 19\/5 (b) 0.015 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w + 7 + 92 = w for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -377485 + 147596844\/391. Let p = x + -15\/23. Which is the biggest value? (a) p (b) -2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2022*t - 41. Let r(l) = 1013*l + 24. Give -7*r(z) - 4*y(z).\nAnswer: 997*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 39 - (43 - 33)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36465 = 1016*y + 89*y for y.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let y be (16\/(-156))\/((-6)\/9). What is the third smallest value in -3, 2\/7, y?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**(-4\/5)*j**29 assuming j is positive.\nAnswer: j**(154\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*w**5 - 1226*w**4 + 43948*w**3 + 233366*w**2 + 149784*w = 0. Calculate w.\nAnswer: -4, -3\/4, 0, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110111000010100111110000101 - -11?\nAnswer: -110111000010100111110000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 129712 divided by 4.\nAnswer: 32428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-11 - -6 - (1 + -2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 118679877?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24422590902 plus 2?\nAnswer: 1.75577409098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 343 divided by -102\nAnswer: -343\/102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009735 rounded to 3 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iq when two letters picked without replacement from zzzviqqzqiq?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 4013.105ug?\nAnswer: 0.000004013105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*p**2*q*v**2 - 11*p**2*q*v - 9*p**2*v**2 + 2*p*q*v**2 - 2*p*q*v - 182*p*q wrt p?\nAnswer: -4*q*v**2 - 22*q*v - 18*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5730 (base 8) to base 2.\nAnswer: 101111011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 2 p, and 1 l when four letters picked without replacement from kdslp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3413 is divided by 101.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 617\/5 + -123. Let x = 0.03924 - 3.03924. Which is the smallest value? (a) t (b) x (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -46*x**3 - 580*x**2 - 890*x - 276. Let i(f) = -8*f**3 - 116*f**2 - 178*f - 55. Let t(c) = -3*h(c) + 16*i(c). Factor t(j).\nAnswer: 2*(j - 13)*(j + 1)*(5*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-28))\/(-5)*16756\/(-46079)\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 120.4775, 90, 5, 0.4?\nAnswer: 120.4775","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-21245)\/100155*(-1)\/(-14)\nAnswer: -1\/66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 222236 from -45.6622786.\nAnswer: -222281.6622786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12204 + -243?\nAnswer: 11631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 10*t**2 - 50*t + 149. What are the prime factors of u(22)?\nAnswer: 3889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40609.38 milligrams in nanograms?\nAnswer: 40609380000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-68)\/(-224) - (-24)\/(-224)*2\/(-3)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -498 - -495. Put -2, x, 6 in decreasing order.\nAnswer: 6, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 168500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 4, 45.282, 5 in increasing order.\nAnswer: -1\/5, 4, 5, 45.282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 1:04 PM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g**2 + 3354*g - 25*g**2 + 5547 + 150*g**2 + 397*g**2 = 0.\nAnswer: -43\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/7, 9, -5\/138?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2))**(2\/45) assuming h is positive.\nAnswer: h**(-4\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -202*c - 491*c + 3465 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*h - 18*h + 7*h**2 + 10*h as x + k*h**2 + u*h and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1609530 and 8.\nAnswer: 6438120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 5*i**2 - 6*i - 6. Suppose -2*a + 5*o = -3*a - 5, -4*o = -2*a - 10. Let d be b(a). Factor -6*w**2 - d*w - 6*w**2 - 12 - 3*w**3 - 3*w**2.\nAnswer: -3*(w + 1)*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 1 + 157*h**2 + 4*h + 0 - 11 + 6 to the form i*h**2 + k + j*h and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.6 - 3.6634. What is m rounded to 3 dps?\nAnswer: -0.063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6.98, -7, 0.5, 3, -8, 2 in descending order.\nAnswer: 3, 2, 0.5, -6.98, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2914 at most as big as -14566\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xaxxehaeonoaoax. What is prob of picking 2 x and 1 e?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 114038 = -6*d - 114082, -20 = -2*u + 4*d for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4 + (-5 + (sqrt(1539)*-3 + -1 - (4*sqrt(1539) + -3 - sqrt(1539))))**2).\nAnswer: 324*sqrt(19) + 55409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4824827 a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -674 - -677. Which is the nearest to -2? (a) 3\/5 (b) -4 (c) i (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -17 (b) 17 (c) 6 (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 67 - 62. Solve -3*y = -5*j + 12, -a*y + 1 - 21 = -2*j for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-105)\/150*48\/168?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and -0.11378.\nAnswer: 0.28622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 0.11.\nAnswer: 0.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 7*f - 16 = -10*f, -5*z + 5*f - 30 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -326*g**5 - 549*g wrt g?\nAnswer: -6520*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.5 - -9. Let o = -0.586 + y. What is o rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/153321 and -74\/34419?\nAnswer: 1686531","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n + 8. Let b be r(-7). Let t = 882 + -846. Let p = b + t. Is 19 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/15))**39 assuming t is positive.\nAnswer: t**(-13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -5 (c) -390\/7 (d) 3 (e) 8\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 418896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11805982319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1202 is divided by 122?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 5*o + 15 = 0, 2*g + 26*o = -101 - 33 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -123144023 (base 5) in base 14?\nAnswer: -118892","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5985849059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*i**2 + 145*i - 1260 = 0. Calculate i.\nAnswer: -36, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 5. Let f = d + 10. Suppose 381 = f*b + b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -9*f - 19. What is the units digit of a(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 0.2. Let i = 9.7 + u. Let r = -14 + i. What is the smallest value in -0.3, r, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + v = -5*s + 2, 5*v - 25 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 52.76 * 2426.8\nAnswer: 128037.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1190, 3, 5 in increasing order.\nAnswer: 3, 5, 1190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -337097, -336523, -335949, -335375?\nAnswer: -334801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(1872)*-2 - ((sqrt(1300) - sqrt(1300)*-2) + sqrt(13) + 4))**2.\nAnswer: 990*sqrt(13) + 39406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31790, -255105, -861374, -2042075, -3988686, -6892685?\nAnswer: -10945550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-182)\/(-39) + 6\/(-9). Solve -3*k**2 - 132*k - 147*k**o + 3 - 15 - 51*k**2 + 357*k**3 - 12 = 0 for k.\nAnswer: -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/11)*x\/(x**(-2\/107)*x))\/((x\/(x\/x**(1\/2)))\/x**(20\/11)) assuming x is positive.\nAnswer: x**(3361\/2354)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13233 divided by -3.\nAnswer: 4411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5067, -10130, -15195, -20262, -25331, -30402?\n\"Answer: -a**2 - 5060*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85825 is divided by 140.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f**3 - 37*f**2 - 68*f - 5. Determine g(14).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -7*z + z**2 + 4*z + 3*z + 3. Let g(x) = 4*x. Give t(g(q)).\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 947 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17514136*g**4 - 22706853*g**2.\nAnswer: 420339264*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*q = -63*q - 2166. Suppose 0 = 8*g + 11*g - q. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50 - 131. Let f = 667 - 746. Let k = f - q. Sort 2\/3, 0.4, k.\nAnswer: 0.4, 2\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 13*((7 - 2) + -4). Let k(m) = -m - h*m**3 + 42*m**2 + 10*m**3 - 40*m**2. Let i(q) = -15*q**3 + 11*q**2 - 5*q. Calculate -2*i(w) + 11*k(w).\nAnswer: -3*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 - -24 - 307*(0 - 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7736966, 7736971, 7736978, 7736987?\nAnswer: 7736998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 3. Let t be -2 - 2\/(-1)*h. Solve -t*v + 1 = -v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 0*x = 80. Suppose -k - 4*t = k - x, 2*t + 40 = 5*k. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4432068 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 smaller than -937.982?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5*r + 109395 = 29348, -200146 = -5*m + 3*r. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 + 5904386*c + 11808764.\nAnswer: 2*(c + 2)*(c + 2952191)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0.4 (b) -5\/6 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - 7. Let w = q - -17. Solve 2*d + 2*g = 7*g, 5*g - w = d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 224 and 44?\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2)*(2*d**5 - d**5 - 2*d**5) - 4*d**5 + 6*d**5 + 5*d**5.\nAnswer: 5*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24004 in 3\/4, 10\/37, 2\/7?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -1239*o + 58223. Give l(47).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(sqrt(891)*2))**2.\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 22692319 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35 - -26 - (3 - 1)) + -25.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1858, 1869, 1880, 1891, 1902, 1913?\nAnswer: 1924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/3605238 and -4\/31311.\nAnswer: 25236666","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -16. Let m = 2585.8 + -2580. Let z = v + m. Which is the closest to 4? (a) z (b) 2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 6*n**2 - 5*n + 4. Let r be m(5). Put 0.5, r, -4 in increasing order.\nAnswer: -4, 0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1332 - 8195?\nAnswer: -9517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 j when two letters picked without replacement from {j: 3, d: 1, v: 7, w: 3}.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -i**4\/12 - 2*i**3\/3 - i. Suppose -9 + 25 = 2*p - 4*t, 3*t = -5*p - 25. Determine a(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.801962 minus 29?\nAnswer: -30.801962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -752*j**6 - 3666*j**5 + 5*j**3 + 118542865*j**2?\nAnswer: -90240*j**3 - 219960*j**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 315*p + 27 - 15 + 45*p**2.\nAnswer: 45*p**2 - 315*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6313520.\nAnswer: 2, 5, 78919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*(-4)\/24*3. Which is the nearest to f? (a) 0.2 (b) 2\/15 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 5.2. Let c = r - -0.1. What is c rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a - a - 6*a - 4*a.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/12 - (-36)\/16. Suppose -5*a = -l*q - 290, a - 140 = q - 4*a. Let z be (12\/10)\/((-12)\/q). What is the highest common factor of z and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**3 - 245*x**2 - 4586*x - 123. Give a(139).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -43*d**6\/15 + 3*d**5\/5 + 2680*d**2 + 6508*d. Find the first derivative of y(c) wrt c.\nAnswer: -344*c**3 + 36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188 - 168 = -52*c - 656 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/3)\/(((-91)\/39 + -16)*3\/15)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -141233443233?\nAnswer: -141233443224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 21865, 5, 1, -5, 4, 0 in ascending order.\nAnswer: -5, -3, 0, 1, 4, 5, 21865","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*w**3 - 27*w**3 + 11*w**2 - 2*w**2.\nAnswer: -4*w**3 + 9*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29434 (base 11) to base 7.\nAnswer: -232546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25 and -0.8?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 7*w**2 - 6*w - 7. What is n(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8301776 and -0.2.\nAnswer: 8301775.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 251111425?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34 + 26. Let i = v + 18. Suppose j + i = 5*f - 3*f, 0 = -5*f - 5*j - 5. What is the highest common factor of 6 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, a: 7}. Give prob of picking 2 a.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 0 (c) -4\/3 (d) -0.01 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.046 + 5.046. Put -0.27, 2, d in descending order.\nAnswer: d, 2, -0.27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 627, 1267, 1919, 2589, 3283, 4007?\nAnswer: 4767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/4 of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2016*b + 2035*b = 209 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (28 - 24) + ((-4758)\/36)\/13\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 16*b - 8. Let m(l) = -3 - 29*l - 37*l + 101*l - 30*l. Give -8*m(w) + 3*o(w).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 575 - 563. What is the remainder when 130 is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of -8*10\/(1 - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 5 (c) 20.7 (d) -0.5 (e) -190\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/((-40)\/16 + 1). Let n be (1\/6)\/((-2)\/(-18)). Determine w so that -9\/4*w - 3\/4 - n*w**y = 0.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 14, 0.25, 16, -3\/4.\nAnswer: -1, -3\/4, 0.25, 14, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2665062 to the power of 1\/3, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 33 - 43 = 0. Let c be (-2 + o)*(-391200)\/(-14). Round c to the nearest 10000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 145 by 254.\nAnswer: 145\/254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 74.7455 micrograms?\nAnswer: 0.0000000747455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30852 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -41*b + 177 - 13 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -5*s**2. Let u(f) = f**2 - 159 + 159. What is r(u(q))?\nAnswer: -5*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/16)\/(1122\/43384)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(0 + sqrt(252)))**2.\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*c + 30 = 0, -2*a - c = -0*c - 6. Let x(o) = 15*o - 1 - 8*o - 9*o + a*o - o**2 - 5*o. Calculate x(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223 = 35*j + 643 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 1102\nAnswer: 3306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c - 51208 = -132*c. Calculate the least common multiple of 7 and c.\nAnswer: 2422","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 2*u + 2*u)*(128 - 128 - 27*u - 2*u + u - u + 3 - 2*u - 3 + (-1 + 2 + 0)*(4 - 2*u - 4) + u + u - 4*u).\nAnswer: -35*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 95 and 16095?\nAnswer: 305805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -5*t - 3. Let o(x) = 3*x**2 + 14*x + 10. Let s be o(-4). Suppose -29*r - 12 = s*f - 28*r, 3*f + 2*r = -19. Let u(m) = -9*m - 7. Give f*q(z) + 2*u(z).\nAnswer: 7*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -186.549, -6\/7 in descending order.\nAnswer: 1, -6\/7, -186.549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.52 - -0.520000009. Round y to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 520155 or 520136?\nAnswer: 520155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**4 - 12*u**3 - 3*u**2 + 12*u = 0. What is u?\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(135\/(-2))*-3*35064\/1948.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2 + sqrt(180))**2 + sqrt(5).\nAnswer: 25*sqrt(5) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, 259\/4, -2, 4, -0.3, -110\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5*(3\/(-1))\/(-3). Suppose 2 = -s + n, 6*s - a*n = 9*s - 34. Suppose 0 = 5*b - 27 - 13. Solve 0 = -c - s*c + b for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2 = 3*d. Solve 0 = b + 5 - d for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -120*p**2 - 65*p - 65. Let x(i) = -5*i + 19. Let g be x(5). Let z(f) = 11*f**2 + 6*f + 6. Give g*r(s) - 65*z(s).\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23261416 (base 7) to base 14.\nAnswer: -3b480d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.7996 - 0.0604. Let f = 0.14 - m. Let n = -10.999918 + f. Round n to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 764, 793, 822?\nAnswer: 851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 2*l**2 - 4*l + 3. Let n be f(3). Let m be (12\/(-14))\/(4\/(-14)). Let k = m + n. Solve 5 = g + z, -g - k + 4 = -3*z for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g - 163. Let v(z) = -2*z**2 - 13748 + 13748. What is j(v(f))?\nAnswer: -4*f**2 - 163","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56116\/935 - 2065\/34. Find the common denominator of 139\/90 and m.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -19, -8, 9, 32, 61, 96?\n\"Answer: 3*h**2 + 2*h - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 35*c + 834. Give t(-22).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1054662.\nAnswer: 2, 3, 7, 25111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v + 3*l + 6, 0 = 24*v - 23*v - 4*l - 14 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 514024281 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.62*-0.2.\nAnswer: 0.124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**2 - z. Suppose 0 = -g - 4, 4*i - 2 = 3*g + 6. Give v(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*j**2 + 2*j**2 + 10*j**2 - 23*j**2 - 20 - 14*j**2 in the form k*j + w + h*j**2 and give h.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 55 - 49. Suppose 7*j - 9*j = -c. Suppose 0 = 3*b - 49 - 11. Solve 5*g = j*r + b, 8 = -5*r + 2*g - 0*g for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -5 - 10*n**2 - 7*n - 1\/3*n**3. What is the tens digit of s(-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.6805 milligrams in tonnes?\nAnswer: 0.0000000696805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-2)*34 + -2. Let u = 25 - d. Suppose 0 = k + 4*r + 15, -k + r = -9 - 1. What is the lowest common multiple of u and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*i**3 + 3*i**3 - i**3 + (-4*i**2 + 6*i**2 - 4*i**2)*(4*i - 3*i - 2*i) - i**3 - 4*i + 0*i**3 + 3*i in the form r*i**3 + z*i + f*i**2 + y and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 7*i - 23127 - 39288, 4*f + 8940 = i. List the prime factors of i.\nAnswer: 2, 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w**4 + 2*w - 2*w)*(-27 + 15 - 11 + (1 - 3 + 3)*(-1 + 4 - 2)) to m*w + n*w**3 + v*w**4 + t + l*w**2 and give v.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-22) - ((-1755)\/33 - -5). What is the greatest common factor of 16 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 7\/281769438?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 2:03 PM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.6 and 0.11?\nAnswer: -0.396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -426 + 418. Let u(v) = 6*v + 78. Calculate the least common multiple of u(d) and 35.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g**3 - 3868*g**2 + 1097*g + 3868*g**2.\nAnswer: 7*g**3 + 1097*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(5\/3))**(-41)*(l**(2\/17))**(3\/13) assuming l is positive.\nAnswer: l**(18140\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at least as big as -30362?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 16*u**2 + 15*u - 30. Let l be q(-17). Let s be (l + -4)*1\/(-2). Are s and -3\/163 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 r when four letters picked without replacement from {i: 1, r: 4, b: 3}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4 = 26. Let g be (-2)\/h + 55\/25. Solve -g*x = -2*z + 2, 5*z - 3*x - 3 + 2 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.3 - -5. Let d = i + -3.7. Let g(h) = -4*h - 30. Let x be g(-7). Sort x, d, 6\/11 in increasing order.\nAnswer: d, x, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1227.301ug to grams.\nAnswer: 0.001227301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 + (-47 - 10 - 28)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39*v + 30*v - 106*v)*(2*v**4 + v**4 - v**4) + (-2*v**4 - 4 + 4)*(-3*v + 4*v + v).\nAnswer: -234*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -82325520 divided by 1715115?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -11. Let b(g) be the third derivative of g**5\/60 - 3*g**4\/8 + 4*g**3\/3 - g**2. Let q be b(l). Solve 2*a - 2*h = a - 1, q = 2*a + h + 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(1\/2)*j)\/j)\/(j**2\/j))**3 assuming j is positive.\nAnswer: j**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/2185 and 17\/2508.\nAnswer: 288420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 5*l**3 - 3*l**2 + 12*l - 49. Suppose 70 = 20*m - 50. What is the tens digit of z(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from miggrgggi. Give prob of picking 1 i and 1 g.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 7 = -3*z, -5*z + 10*x - 11*x + 7 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/10 - 4 - -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -11*b**2 - 307*b + 31. Determine x(-28).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**4\/2 + 35355*h**3 + 1271691*h**2\/2 - 1377762*h + 706560 = 0. What is h?\nAnswer: -23552, -20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.471 and 2.\nAnswer: -0.942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36 + 0*p**2 - 18 - p**2)*(-5*p - p + 5*p).\nAnswer: p**3 - 18*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r. Let c(m) = -32*m + 88. Let j = -6 - -10. Let b(s) = -j + 6 + 0*s - 4*s + 3*s. Let l(p) = -88*b(p) + 2*c(p). Determine l(z(h)).\nAnswer: 48*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -155 or -3139?\nAnswer: -155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 54912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1316 + 2011. Suppose 2*c = a + 111. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1381381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 674 + -985. Let b = s - -523. Does 4 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.3285914 weeks?\nAnswer: 198732078720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90584.36472 + -0.652.\nAnswer: -90585.01672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3.2, -0.1, -2\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 2*r = 7 - 2, -3*x - 4*r = -15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 425 = -29. Let c = -126 + u. Suppose 0 = 22*a + 25*a - 1598. What is the remainder when c is divided by a?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5879 - 6761 = 27*m - 76*m. Calculate the highest common factor of m and 6522.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of j**5\/10 - 11*j**4\/3 + 136*j**3\/3 - 192*j**2 - 46*j - 65. Factor v(x).\nAnswer: 2*(x - 12)*(x - 8)*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.7 (b) 576 (c) 5 (d) 2883\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 49161277 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2337 and 123?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -249.370050655 + 249.37. What is h rounded to six dps?\nAnswer: -0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 6*h**2 + 3*h - 7. Let u be c(-5). Suppose -2*t + u*m + 6 = -t, 4*t = 4*m. Is -3 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34b (base 12) to base 14.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -4 + 5*j + j + 8*j + 10*j - 23*j - 8*j**2. Let k(m) = -7*m**2 + m - 5. Give -5*c(r) + 6*k(r).\nAnswer: -2*r**2 + r - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a + 344a5?\nAnswer: 3449a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**1\/q*q**(-12)*q**1*q*q*(q*q\/(q*q\/(q**(-17)\/q)))\/q assuming q is positive.\nAnswer: q**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minus -0.1857?\nAnswer: 6.1857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2220110210001 (base 3) to base 13\nAnswer: -421078","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 862?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13358 + 12834 - 5*m - 399*m**2 + 6*m - 2*m**4 wrt m.\nAnswer: -24*m**2 - 798","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41 + (-39 - (-13)\/(-6)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (-3 + -3 - -6) - 1 - 0\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -d**5\/10 - 10*d**4\/3 - 19*d**3\/3 - d + 14. Factor g(w).\nAnswer: -2*w*(w + 1)*(w + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n + 7. Let o be i(3). Let x be ((-28)\/3)\/(o\/3). Suppose r = 4*t - 9 - 76, -r - 22 = -t. What is the greatest common divisor of x and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55219324168180*u**2 + 55219324168180*u**2 - 12*u**3.\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 29420.8 times -41?\nAnswer: -1206252.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*z**2 + 309*z**3 + 10*z**2 + 16*z**2 - z - 32*z**2 in the form f*z**3 + s*z**2 + r + y*z and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (18\/(-45))\/((-7)\/(-5)). Let x be 292 - 299 - (40\/(-6) + -1). Which is the smallest value? (a) 2\/83 (b) -5 (c) t (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2*r + 1. Which is smaller: r or 1\/32?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 282791110 and 210.\nAnswer: 848373330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/4? (a) 2 (b) 0 (c) -5 (d) -95\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1135\/3 + -1867\/5. Find the common denominator of l and 79\/33.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 4. Let y be ((-27)\/(-72))\/((-9)\/6). What is the closest to y in -0.06, 0.5, s, 4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of j**5\/100 - 7*j**4\/120 - j**3\/5 - 9*j**2\/2 + 11. Let c(x) be the second derivative of l(x). Factor c(o).\nAnswer: (o - 3)*(3*o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 4*j**5\/7 - 22280*j**4\/7 - 1697484*j**3\/7 + 22506128*j**2\/7 - 92871232*j\/7 + 125725440\/7 = 0.\nAnswer: -87, 4, 5645","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -57 + 274. Let q = p + -110. Let y = -73 + q. What is the remainder when y is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*t - 240 = 0, -2*y + 239 = -2*t - 237. What is y rounded to the nearest ten?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 3*x - 23, x + 9*w = 14*w - 5. What is the greatest common divisor of 305 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5*p = -2*j + 110, -5*j + 2*p = -89. Let k = 68 - j. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -999011*n**4 + 1980403*n wrt n.\nAnswer: -11988132*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 846.28 nanometers?\nAnswer: 0.00084628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 989692697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -37*t**3\/6 + 5*t. Let q(h) = -2*h. What is q(y(p))?\nAnswer: 74*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*n = -15*n - 60. Is 1710\/22 + n\/55 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24736753.\nAnswer: 23, 59, 18229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -w**6\/36 - w**5\/40 + w**4\/8 + 3*w**3 + 173*w**2. Let d(n) be the first derivative of l(n). Calculate d(2).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22886612 by 1.\nAnswer: 22886612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 645, 644, 643, 642, 641?\nAnswer: 640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 364 - 523. Let c = x + 158.99999367. What is c rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2328.5005 - 2329. What is v rounded to two decimal places?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 4. Suppose -2*c + 53*s = 58*s - 258, 0 = -5*c - 4*s + 594. Calculate the greatest common factor of c and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 7:39 AM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2946.585 millennia in months?\nAnswer: 35359020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69 divided by -851.\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32728830*l**4 - 2228465*l**2 - 8 wrt l.\nAnswer: 785491920*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -30203 (base 4) in base 8?\nAnswer: -1443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3840 + 6319. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9 or -2313\/236?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 189303.4 nanometers?\nAnswer: 0.01893034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-186)\/(-5))\/3 + 6\/(-15). Let y(b) = 3*b. Let z be y(4). Is z less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 12:30 AM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + 45\/9 + -1. Which is the third biggest value? (a) -1 (b) 0.5 (c) -0.2 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -301, -3.\nAnswer: -301, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**3 - 2*y**2 + 5*y + 3. Let m be c(-3). Let d be -1 - (-2 - (-33)\/m). Is 1 greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2393?\nAnswer: 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3539809 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1121341 (base 5) to base 16.\nAnswer: 4efd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 145053585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 6) to base 15\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 940 divide 456035360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-3 + 2*(sqrt(5) + 0)*5)*1)*5.\nAnswer: -15 + 50*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -888.9905 - -889. Let f = 5.9905 + j. Let x = 1 + -2. What is the third biggest value in -0.2, x, f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5263884, -10527766, -15791648?\n\"Answer: -5263882*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -345*w**2 - 6*w - 5. Let c be a(-1). Let m = 359 + c. Calculate the greatest common factor of 240 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 144202220 (base 5) to base 6\nAnswer: 24314533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -37293*l + 447509. Determine s(12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - o - 1. Suppose -4*b + 0*b = -2*y + 4, -3*b - 5*y = 29. Let m(f) = -3*f**2 - 2*f - 2. Calculate b*m(t) + 8*j(t).\nAnswer: t**2 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 395 + -252. What is the greatest common factor of c and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 11, w: 2, a: 2}. What is prob of picking 1 w and 2 l?\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -1101110101000?\nAnswer: 1101110100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-9 - -13 - (-2 + 4 + -1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120*u**2 + 145*u**2 - 21*u**2.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 310.67 + -311.07. What is the closest to -170 in 0.01, m, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 + 14.5. Let u = 0.774 - -3.711. Let t = u + c. What is t rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 13\/16 (b) 47 (c) -45 (d) 0.2 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46030 is divided by 5732?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d**2 + 2. Suppose -7*v - 36 = -3*v. Let p = 5 + -3. Let z(i) be the third derivative of 17*i**5\/60 + 4*i**3\/3 + i**2. Give p*z(c) + v*j(c).\nAnswer: -2*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z**5 - 97164*z**4 + 777024*z**3 + 777440*z**2 - 9324096*z - 13987008 = 0. What is z?\nAnswer: -2, 6, 24283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 5 - 5)*(0*x**2 - x**2 - 2*x**2 - 2*x).\nAnswer: -24*x**2 - 16*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -6455 + 684*c**2 + 6451 + 4*c - 2*c in the form d + n*c + s*c**2 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -7.9. What is the closest to -1 in -4, -2\/9, t?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -1 - (1 + 1) - 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0178263 - 0.0178. What is n rounded to six dps?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a centimeter in micrometers?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4929 and 2883?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34*y**5 - 2423*y**2 - 4210202*y wrt y?\nAnswer: 680*y**3 - 4846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/(54\/60) + -8. Let -127*b + 3*b**f - 35*b + 8*b**2 - 9*b**2 - 5*b**2 = 0. What is b?\nAnswer: -54, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16.5 - -16. Let v be ((-231)\/60)\/(-11) - 1\/(-4). What is the third biggest value in v, -0.4, 0.4, j?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1910 - 218*r + 1397 + 161 - 522 wrt r?\nAnswer: -218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 450410530 (base 6) to base 7\nAnswer: 126165045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 14 = -3*x - 206, 5*b = -3*x - 272. Let a be (-2154)\/26 - (-3 + (-656)\/(-208)). Let o = b - a. Is o even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110458 is divided by 98.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 13*y + 7829. Let w(p) = 2*p + 16. Determine -r(s) + 6*w(s).\nAnswer: -s - 7733","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of f**2\/2 + 9*f + 3. Let j be k(-7). Solve 0 = j*l + 2*o - 3*o + 13, -o = 5*l + 15 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 227129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.86 + 3.001. Round s to 2 decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20388.27 to the nearest one thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3, 2\/5, 3.4, -1\/2, 3\/2, 40, -1?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 69 = 4*a, 5*x + 31 = -6*a + 4*a. Let b = -15 - a. Solve l - 3*w + b = -3*l, 3*l = 5*w + 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.7 (b) -0.36 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 113166?\nAnswer: -113166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -39395800 divided by -4?\nAnswer: 9848950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**3*l)\/l**(7\/2))\/(l\/l**14*l**(-7\/4)) assuming l is positive.\nAnswer: l**(61\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 3*b**2 + 3. Let m be f(-3). Let g(k) = -4*k + 2*k + k - m + 2. Give g(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 129 * 23.4.\nAnswer: 3018.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 1818 = -38. Calculate the remainder when v is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -552*b + 353*b - 379*b + 2912*b in the form y*b + s and give y.\nAnswer: 2334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -177017 (base 12) in base 7?\nAnswer: -3310651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00335 rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11689868*l*z**5 + 13*l*z**3 - 1259042*l*z + 51*l wrt z.\nAnswer: -233797360*l*z**3 + 78*l*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 429239344267 and -1.\nAnswer: 429239344266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3892, -3909, -3940, -3991, -4068, -4177, -4324, -4515?\nAnswer: -4756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -74225*b**3*z**3 - 7*b**3*z**2 + b**2*z**3 - 4*b**2*z + 33*b*z**3 - 99*b*z**2 - b + 7*z + 249 wrt z.\nAnswer: -445350*b**3 + 6*b**2 + 198*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4290a16 - 3?\nAnswer: 4290a13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1.6, -1\/6, 6\/235, 388?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 1:49 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -930*c**3 + 3*c**2 + 17811?\nAnswer: -2790*c**2 + 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f**5 + 8*f**2 + 5*f. Let v(y) = -6*y**5 - 15*y**2 - 9*y. Let c(h) = -9*i(h) - 5*v(h). What is the third derivative of c(t) wrt t?\nAnswer: 180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 4*l - 31, 0*l - 3*x + 13 = l. Let a(j) = 4*j**2 + 6*j - 3. Is a(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccn when three letters picked without replacement from cffnncncfcffcffn?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 12*m + 36. Let c be g(4). Solve 29*z = c*z + 150 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6*3*128\/24. Suppose 3*y = -12, -3*i + 2*y + x = -y. Let l be -4*((-14)\/(-6)*3)\/(-4). Calculate the greatest common divisor of i and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2 - 6184*a - 2390116.\nAnswer: -4*(a + 773)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27*n**2*x**3 - 21*n**2 - n*x**3 - 61*n - 4*x**3 + 2*x**2 wrt x?\nAnswer: -162*n**2 - 6*n - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -852749 * 0.3.\nAnswer: -255824.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3370 (base 14) to base 12.\nAnswer: -51b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 30 = -5*a. Solve 2*u = t - a*u - 7, -5*t + u = -16 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2020532?\nAnswer: 2, 463, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 9) to base 15\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -10. Suppose i = 5*f + 4*f - 180. Solve -5*j + 5 - f = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6*(((-495)\/10)\/(-9) + -5) - -6. Factor 0*y - 1\/6*y**5 - 1\/3*y**4 + 0 + 0*y**2 - 1\/6*y**z.\nAnswer: -y**3*(y + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 5*i**2 + 7*i - 6. Let a be u(6). Suppose 0 = 3*q - 0 - 3, 2*o - 3*q + 5 = a. Let b = -1 + 14\/11. Which is smaller: b or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 3:18 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 281053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(((l*l\/l**(-4))\/l)\/l)*l**(2\/13)*l*(l**(-2\/5))**(-19) assuming l is positive.\nAnswer: l**(374\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.2 in 23.67, -1, 3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4339795918 to the power of 1\/2, to the nearest integer?\nAnswer: 65877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12.7874 - 12.74. Is 3\/8 less than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20688428 to the nearest integer?\nAnswer: 4548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 20, 3, -42, -121, -240, -405?\n\"Answer: -d**3 - 8*d**2 + 14*d + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8582 is divided by 214.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 389*u**2 - 4558*u - 5051392.\nAnswer: 778*u - 4558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1753748, -3506868, -5259988?\n\"Answer: -1753120*w - 628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 90970 rounded to the nearest 1000?\nAnswer: 91000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*d*g*k**2 + 363*d*g*k + d*g - 4*d - 5*g*k**2 - 1694*g*k - 49*g with respect to d.\nAnswer: 3*g*k**2 + 363*g*k + g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/644 + -21713\/117852. Calculate the common denominator of p and -10\/11.\nAnswer: 2013","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 5) + (19 - (27 + 1)) - -1.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 10070292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 5*s + 18, -4*s + 2*l = -2*l for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14.2 - -1.4. Let u = h - -11. Let z = -1.8 - u. Which is smaller: 6\/7 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2679 + s + 2707 - 5386.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/5537788 and -91\/1148078.\nAnswer: 94142396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - sqrt(68)*2)*-3 + 2*(sqrt(68) - (2*sqrt(68) - sqrt(68))))\/((-1*sqrt(80))\/(sqrt(5) - (sqrt(5) + 1*sqrt(405) + sqrt(5)))).\nAnswer: 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -91256 <= -4289069\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1375471*k**2 - 365077?\nAnswer: 2750942*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**2 - 601556*i + 90467405284 = 0.\nAnswer: 300778","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 c when two letters picked without replacement from yryrcyjjllylyjyyllyb?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 5*o**2 - 5*o + 10. Let f(k) = 2*k**3 - 7*k**2 - 3*k + 3. Let y be f(4). Suppose y*i - 7 = 6*i. Is a(i) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 43.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*m + 0*m**2 - 22*m - 5*m**2.\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 5*a - 61 = 24, 105 = 4*p + 5*a. Let b = p - 17. Suppose 2*t - 89 = -2*t + 5*d, 3*t - b*d = 63. Does 12 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 110 = 5*j, -5*s + j + 39 = -53. Let h = s + -15. Let k(z) = -1 + 10*z + z**2 + h*z - 16*z. Determine k(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3231600 - -7?\nAnswer: 3231607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8106*l*u**4 - 612*l*u**3 - l + 3*u**4 - 146*u**2 + 7*u + 5330 wrt u?\nAnswer: 194544*l*u - 3672*l + 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-70)\/49)\/10)\/(-2).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 12. Let m(k) = 2*k - 2. Let z be m(w). Suppose x = z*x + 102000. Round x to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20734)\/(-1295) + (-5382)\/497835.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 250*z + 1 - 500*z + 249*z - 8*z**2 in the form x + q*z**2 + b*z and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0092370786 to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l + 7*l - 4*l)*(0*l - 2 - l - 2*l).\nAnswer: -24*l**2 - 16*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31219*l**3 + 16668*l wrt l?\nAnswer: 187314*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**2 - 10*c - 3. Let m be s(-4). Is 84\/(-16) + m + 48999\/12 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -109*s**4 + 2*s**3 - 41501*s - 8683209?\nAnswer: -436*s**3 + 6*s**2 - 41501","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5983092523 a multiple of 293?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 6:41 PM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 65 + -53. Let h be (2 - 134)*q\/(-12). Calculate the highest common factor of 12 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3\/397, -2\/7, 3?\nAnswer: 3\/397","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21263 + 21266. Let y(t) be the first derivative of 0*t - t**p - 25 + 1\/2*t**2. What is the second derivative of y(q) wrt q?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s = 163*s - 320 - 4351 for s.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 152*j**2 + j. Let d(k) = 3*k**2. Determine d(r(h)).\nAnswer: 69312*h**4 + 912*h**3 + 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 divided by -115?\nAnswer: -514\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/33*3)\/((-52)\/(-78))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 18*r**2 - 74*r - 211. Let x(i) = 18*i**2 - 111*i - 210. Determine -3*t(w) + 2*x(w).\nAnswer: -18*w**2 + 213","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 439071355?\nAnswer: 5, 311, 373, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000050031364 to seven dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -193 + 195. Suppose 13*o = -2*d + 15*o + 1186006, 3*d = s*o + 1779006. Round d to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 306.26 (b) -0.3 (c) -2 (d) -402\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8055 - 80433\/10. Let k = 2377969\/68 + -34987. Let j = -70\/17 - k. Find the common denominator of w and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 592 and 784?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 15*g + 6. Let v(s) = s - 1. Let m(u) = 6*v(u) + w(u). Let y be m(9). Let h = 0 - y. Let k(d) = d - 2. What is k(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -455, -909, -1363, -1817, -2271?\n\"Answer: -454*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -184\/33 + 54\/11. Which is the biggest value? (a) x (b) -0.07 (c) 0.3 (d) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z*z\/z**(1\/3))\/z)**23)**(-48)\/((z**(-1\/2))**45\/(z*(z*(z*z*z*z**(1\/4)\/z*z)\/z*z)\/z)**(-9)) assuming z is positive.\nAnswer: z**(-7423\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -10132.348338 to the nearest 10.\nAnswer: -10130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*m**3 + m**3 + 2*m**3)*(-147 + 364 - 44)*(-1 - 3 - 4)*(0 + 0 + m) to the form o + a*m**2 + s*m + z*m**4 + i*m**3 and give z.\nAnswer: 1384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 5*g = 155 - 127, -3*g = 3*b + 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (58 + -78 - -46) + -78?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*z + 2*z**3 + 26*z.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -45229 smaller than -45228?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 - 2*w**4 + 2*w**2)*(4*w - w - 5*w) + (-3*w**4 - w**4 + 2*w**4)*(w - 2*w + 4*w).\nAnswer: -2*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2973 is divided by 990.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) -1 (c) -7 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -776 + 1009. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39 - 45) + -42 - -21?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.2 - 5.07. Let l = k + -0.13. Put 1\/5, 3\/5, l in descending order.\nAnswer: l, 3\/5, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223*n - 438*n + 209*n - 20*n**3.\nAnswer: -20*n**3 - 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*h + 7. Suppose h*q - 12 - 4 = 0. Let s be (-5)\/(1*(-2)\/6). Solve -q*f + 5 + s = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71444.85 micrometers in centimeters?\nAnswer: 7.144485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 7*k. Let n be (2 + (-1624)\/(-3))\/((-22)\/33). Let b = -817 - n. What is a(b)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + -3)\/1*-1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-19)\/(-2))\/(45\/90). Suppose -19 = -9*y - q. Let g be (-2)\/(-1) - 114\/51. Which is smaller: g or y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1558\/2460 - (2 - (-9)\/(-6))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2989*t + 2987*t = -320, -332 = 4*d + 4*t. Put -11, -3, d in decreasing order.\nAnswer: -3, -11, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -0*y - y. Let j(g) be the second derivative of -5*g**3\/3 - g**2\/2 - g. Let h(f) = 2*f. Let i(q) = 11*h(q) + 2*j(q). Calculate i(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4*w - 1 = -16, -20 = 5*i - w. Let m be (-2)\/8 - (-1)\/(-8)*0. Which is the nearest to 2\/7? (a) m (b) 5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 449*i**2 - 1338*i**2 + 433*i**2 + 457*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u**1))\/(u\/(u**(-2)\/u*u*u*u)*u))\/((u\/u**(-2\/15))\/(u\/((u**(-1\/2)\/u)\/u))))**40 assuming u is positive.\nAnswer: u**(-76\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by -96241.\nAnswer: 12\/96241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1246 + 1?\nAnswer: 1247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -78184397\/16 - -4884587. Let l = 1937 + c. What is the common denominator of 1\/14 and l?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of -l**3 - 85*l. Let c(q) be the third derivative of -q**4\/4 - q**2. Give c(p(a)).\nAnswer: 36*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0.01, 0.14 in increasing order.\nAnswer: 0.01, 0.14, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/37485 and 19\/196.\nAnswer: 149940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -586 + 591. Let k be (4\/(-10))\/((-2)\/10). Which is the fourth biggest value? (a) y (b) k (c) -2\/13 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1203 by 10230.\nAnswer: 401\/3410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -2. Factor 6*s**r + 3*s + 9*s**3 + 3*s - 7*s**3 + 2.\nAnswer: 2*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 7*m + 6. Let n(v) = 9*v - 91. Let o be n(13). Let g be (-117)\/o*8\/6. What is w(g)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1970 = -6*k + 2018 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 87762.14 nanograms in micrograms?\nAnswer: 87.76214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 638 and 330?\nAnswer: 9570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222173 is divided by 646.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a minute in milliseconds?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**2 + 131 - 371 - 64 to the form l + o*d + q*d**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m = -17*m - 46 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + (-1 - (-3 + 4)). Let h(u) = u**2. Let j(f) = 3*f**2. Give n*j(t) + 2*h(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 544 a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j + 2. Let h = 7 + -5. Let f(w) = -4 + 10 + 1 - 6. What is h*f(g) - i(g)?\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-20) - (-2052)\/(-270)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 165*t - 72. Let u(a) = 14*a**2 - 157*a. What is u(o(z))?\nAnswer: 381150*z**2 - 358545*z + 83880","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) -32906 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, m: 2, g: 4}. Give prob of picking 2 g.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45.435 + 45.414107. Round w to 4 dps.\nAnswer: -0.0209","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19414661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2 - 68*k. Let h(t) = -2*t**2 + 69*t. Determine -6*h(f) - 5*w(f).\nAnswer: 2*f**2 - 74*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-504)\/(-35))\/(-12)*-5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18843929, -18843926, -18843923, -18843920, -18843917, -18843914?\nAnswer: -18843911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/69 and 17\/253.\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {x: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 338 - 346 = 0, 7 = l - 2*w for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000779851 rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 8*y**3 + 16*y**2 - 29*y + 10. Let f(b) = 9*b**3 + 18*b**2 - 30*b + 12. Let h(r) = 5*f(r) - 6*t(r). Factor h(j).\nAnswer: -3*j*(j - 2)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 750?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 8:44 AM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 5*v**2 - 4*v**2 + 8 - 4*v - 8*v + 4*v. Let i(o) = -4 - 2*o - 1 - 1. Let l be i(-6). What is j(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100508672 a multiple of 2816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/15, 0.1, -2, -0.4, 24\/131?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -0.3, 2\/5, -8, -3, 0.275, -1, -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*f + 9*f - 145. Let j = -93 + f. Let i be (1 - (-2 + 2)) + 12. Calculate the highest common divisor of j and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, x: 4, t: 1}. What is prob of sequence xhht?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1658*q + 414 = -3323*q + 1596*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13402 to the power of 1\/2, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 477 divide 1020022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 5:04 PM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 divided by -337878?\nAnswer: 31\/168939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-3\/2))**49*t*t\/t**(-10)*t**(12\/5))**(-35))**(10\/3) assuming t is positive.\nAnswer: t**6895","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -160367.00000078517 - -160367. What is x rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 40 = 5*c, c + z = 4*z + 16. Suppose -7 = k + c*f, -4*k = f + f. Let g(r) = -5*r**3 + 2*r**2 - 2*r + 1. What is g(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2873288 and 2536.\nAnswer: 2536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ikk when three letters picked without replacement from {d: 4, k: 7, i: 3}?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a kilogram in grams?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 205\/4 + -51. Which is the second biggest value? (a) m (b) -0.2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 41*q**2 + 50*q + 475. Give s(-42).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-2)*19\/(9310\/(-40))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220210102 + 2?\nAnswer: 220210111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 208 + 80 = -4*t, 4*n = -3*t + 267. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 584.6869 minutes?\nAnswer: 35081214000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a = -12*a - 140. What are the prime factors of -2 + a - (1 - -4)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16308.16 millilitres to litres.\nAnswer: 16.30816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 j when three letters picked without replacement from wmmrwrjjrwrrmrrwwm?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 + -33. Let f be b\/(-1) + 3 - -40. Solve 5*p = 2*u + f - 13, -4*p + u = -22 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q - 8 + 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in four sevenths of a week?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12, -1\/6, -3098.6, -2\/3?\nAnswer: -3098.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g + 21. Let q(r) = -2*r - 2 - 5 + 6*r - 11*r. Let s be q(-1). Let x be i(s). Solve -3*h - n + 6*n - x = 0, 2*n = 3*h + 12 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (1 - 3) + 11. Suppose 2*y = 3*z - 4, -5*z + 4*y - 3*y + u = 0. Find the second derivative of 6*x**2 - 4*x + 32*x - 2*x**2 + z*x**2 wrt x.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.31781 less than -6.205?\nAnswer: -8.52281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(1\/((-1)\/1)). Is s greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**2 + 113316*n + 26739710 = 0.\nAnswer: -235, 56893","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 122 (b) -1 (c) -0.03 (d) 1 (e) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(3\/10)*174\/(-12). Let o be (-2)\/(-10) - (3 + z\/25). Let b = -275 - -275. Solve b = -4*v - t - 16, -4 - 8 = o*v - t for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aqd when three letters picked without replacement from {q: 6, d: 1, g: 7, a: 5}?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 - -223?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 128.40151 to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 777 is divided by 386?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + i**2 + i + 1. Let j(a) = 21*a**3 - 15*a**2 - 15*a - 12. Let v(c) = 3*j(c) + 45*n(c). Differentiate v(g) with respect to g.\nAnswer: 54*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -60.2 + 60. Let f(l) = -l**2 - 32*l - 49. Let b be f(-16). Suppose -203*m + b*m = 12. What is the second biggest value in -4, m, -1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 265?\nAnswer: 265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -2\/9, -91, 2\/3 in increasing order.\nAnswer: -91, -1\/4, -2\/9, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 3*r**2 + r**2)*(4 + 0 + 3).\nAnswer: 14*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 388 + -275. Let j(o) = 1 + 1 - o**2 - q*o + 103*o. What is j(-6)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(2\/9)*v**23 assuming v is positive.\nAnswer: v**(209\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 164473?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -307570 or -308089?\nAnswer: -308089","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 82898142 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1\/4, -50, 1\/4, 2\/9, 1 in increasing order.\nAnswer: -50, -1\/4, 2\/9, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 5*o**2 + 5*o - 2. Let b be c(-6). Solve 0 = 2*f + 3*f + d, 5*f = b*d for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**4 - f**4 - f**4 + (2*f + 2*f - 3*f)*(0*f**3 - f**3 - f**3) + (2*f + 3*f - 4*f)*(-f + f - f)*(-3*f**2 - 2*f**2 - 10*f**2).\nAnswer: 12*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 119 take away 3604?\nAnswer: -3485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1980) + 4*sqrt(1980) + (sqrt(275)*-2)\/sqrt(5))\/(-5*3*((sqrt(80) + sqrt(80)*-2 - sqrt(80)) + sqrt(80) + sqrt(80) + sqrt(80))).\nAnswer: -7*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 6*k. Let c be t(-1). Is (-31)\/(-3 + c\/(-3)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1857898, -1857901, -1857904, -1857907, -1857910, -1857913?\n\"Answer: -3*z - 1857895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 128*j - 128*j + 3*w - 12, -4*j + 32 = 5*w for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -12 - -5 - (-105 - -107 - (-1 - -9))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*h**4*q + 16*h**4 - h**3*q + 265*h**3 + 4*h**2*q + 14*h**2 - 22*h + q wrt h.\nAnswer: 72*h*q + 384*h - 6*q + 1590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1))**(3\/16)*(a**(-3)\/a*a*a)**37)**(9\/10) assuming a is positive.\nAnswer: a**(-10683\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17981 and 1084?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s + 10*s - 12*s - 10*s.\nAnswer: -16*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m + 4 - 4 + (4*m - 3*m + 3*m)*(1 + 2 - 2))*(m**3 - 3 + 3) as l*m**3 + c + j*m + i*m**4 + x*m**2 and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 726197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10525 divided by -642\nAnswer: -10525\/642","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 438418907?\nAnswer: 18397, 23831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 959997*u - 15. Let o be r(-5). Round o to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -2 - 19. Let z(k) = k**3 - 9*k**2 - 11*k - 15. Let h be z(11). Let p = -99 + h. Are p and g equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*x**3 + 30*x**2 - 30*x**2)*(-3*x + x + 4*x) + 16*x**2 - 16*x**2 + 44*x**4 + (-4*x**4 + 2*x**4 + 0*x**4)*(-4 + 5 + 3).\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36822.13 litres to millilitres.\nAnswer: 36822130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -12. Let d(n) = -n**3 + 6*n**2 - 5*n + 2. Let m be d(w). Let l be 28\/42*(-3 - 0)\/(-1). Solve -2*p = -l*j - m, -2*p + 0*p = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 801*q**2 + 1907*q wrt q.\nAnswer: 1602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 17*z - 80. Let l be d(-21). Let f(s) = -75*s - 118. Let o be f(l). What is o rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 9:14 PM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-8)\/(-8))\/((16\/4)\/44))\/(5\/5).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-2))**(-5\/6)\/(b**0\/b*b*b**(-9)) assuming b is positive.\nAnswer: b**(59\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 7, -52, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 2\/3, 2\/9, -0.8?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2 - 3*b**2 + 4*b**2 - 8*b + b**2 - b**2. Let w be s(7). Let y = w - -66. Does 19 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 11416, 11420, 11434, 11464, 11516, 11596?\n\"Answer: z**3 - z**2 + 11416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from ddndnndndndnd.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -9 - 33*u - 9*u**3 - 3 + 0*u**3 + 57*u**2 - 3*u**3 = 0. What is u?\nAnswer: -1\/4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 35 = p, 14 = p + 5*z - 11. Is 33 != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*l + 7*l**4 + 5*l - 14*l**4 wrt l?\nAnswer: -84*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from pwttpwxthhhtpptxt.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55.59 + -55.99. Which is the third biggest value? (a) f (b) -2\/9 (c) 2\/21 (d) 3\/8 (e) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.15? (a) -3 (b) -1\/4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.2401m in kilometers?\nAnswer: 0.0172401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -45? (a) 18 (b) 0.2 (c) -4\/3 (d) 51\/5 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - 1. Sort r, 1\/4, 3 in decreasing order.\nAnswer: 3, 1\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1740 + 29584\/17. Put 3\/5, 5, 1\/3, y, -4\/5 in increasing order.\nAnswer: -4\/5, y, 1\/3, 3\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5560)\/5004*(125 + -26)?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 49483*r - 49324*r - 4611 for r.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29040 and 870?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -238\/155 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3577 - -3569.71. What is w rounded to zero dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 47040 and 5600?\nAnswer: 235200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1120 (base 4) to base 6\nAnswer: -224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-1))\/(4\/(-176)). Find the common denominator of 9\/20 and (-289)\/b + 24 + -21.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 31bad60 - -1?\nAnswer: 31bad61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6066111 or 6066108?\nAnswer: 6066111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 139 = 6*u - 141, 0 = -2*u - 2*i - 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -56527.8066 to the nearest 100.\nAnswer: -56500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5882370 a multiple of 195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5673249 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: How many minutes are there between 12:40 AM and 11:11 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 - (0 - -5 - (32 - 28))) + 3?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -390, -391, -392, -393, -394?\n\"Answer: -u - 389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -2*t - 19 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.9 take away 5881197?\nAnswer: -5881222.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 56\/6*(-72)\/(-28). Let z = g + -18. Calculate the lowest common multiple of z and 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -4*y - 2*p + 66, 91 = 4*y - 3*p. Let r(n) = -n**3 + 2*n**2 - 5*n - 4. What is the remainder when r(-3) is divided by y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1796.7827 to the nearest 100.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 16*f**2 - 10*f**2 + 2*f - 7*f**2 - 2*f + 1 + f. Let c(p) be the second derivative of -p**4\/3 - p. What is c(i) - 2*t(i)?\nAnswer: -2*i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (22 - (38 - 11)) + -9 + 2 + -3\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1330837.\nAnswer: 61, 21817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + f + 2*f - 3*f + 3*f**2 to g*f**2 + d + y*f and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 4*u + 69. Let l(h) = 5*h + 70. Calculate -3*l(t) + 4*z(t).\nAnswer: t + 66","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 43 = -5*u, 6*y + 5*u + 13 = 8*y. Is 11 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4863.\nAnswer: 3, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2033 (base 5) to base 11.\nAnswer: -224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37253.\nAnswer: 37253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 1. Let q(n) = 5*n**3 + n**2 - 3*n - 2. Let t be q(-1). Sort t, 5, h in increasing order.\nAnswer: t, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121001112 (base 3) in base 16?\nAnswer: -2db9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1377 and 3.95122.\nAnswer: 1380.95122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12284264273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-72 + 2*p + 135 + 115)*(12 - 35 + 15)*(1 + 2*p + 3 - 2).\nAnswer: -32*p**2 - 2880*p - 2848","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -z**5 + 643*z**4\/3 + 5146*z**3\/3 - 2948*z**2 - 2664*z = 0.\nAnswer: -9, -2\/3, 0, 2, 222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27822?\nAnswer: 2, 3, 4637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 54 * -0.81967\nAnswer: -44.26218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -129*z + 3629. Determine b(28).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 1490*c. Let x(k) = -32*k. Determine x(u(n)).\nAnswer: -47680*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 7:07 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 42*c**3 - 10*c + 86*c**3 - 35*c**3 in the form b*c + j + y*c**3 + x*c**2 and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/3)\/j)**(3\/23)*(j\/(j*(j**(-1\/4)\/j)\/j)*j)**(-21) assuming j is positive.\nAnswer: j**(-6283\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1774 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -138, -13, -5 in ascending order.\nAnswer: -138, -13, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ozrsorojsoozjoj. What is prob of sequence sr?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-6)*((-198)\/12)\/(-11). Let g be (-5 - 65\/(-15)) + 7\/(-3). Which is the third smallest value? (a) g (b) l (c) 0.1 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 61018 + 3?\nAnswer: 61021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 - 354*n\/5 + 207\/5.\nAnswer: 3*(n - 23)*(5*n - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 - 2*k + 1 - 43 + 5 - 6.\nAnswer: -2*k - 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qo when two letters picked without replacement from {o: 1, q: 1, f: 2, l: 1, w: 1, t: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.7 - -0.2. Let g = b - 1. Put -1\/4, 0, g in descending order.\nAnswer: 0, g, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 - 4*j + 7. Let o be h(-5). Suppose o*z + 13 + 15 = 0. Let y = z + 29. Does 9 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 15*b**2 + b + 17. Let t be o(-15). Solve -t*j + 15 = j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (4 + -5)*(-3801)\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = 2*i - 3752. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11288663*t**4 + t**2 + 918*t + 7629.\nAnswer: 135463956*t**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192\/5*j - 3\/5*j**2 + 603\/5 = 0 for j.\nAnswer: -3, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 + 312?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -16*h**3 - 12*h**2 + 26*h + 105. Does 22 divide i(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 195 - 691?\nAnswer: -496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4 = 0, -4*h - 2 = -2*w - 6. Let c = h + 1. What is the nearest to -2 in c, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -365 = -2*m + 87. Suppose -212 = -5*z - 4*g, -5*z - g + 4*g + m = 0. List the prime factors of z.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3164 and 9436.\nAnswer: 1066268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 211, 73, -161, -539, -1109?\n\"Answer: -8*k**3 - 82*k + 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 56*o + 1. Let n be m(4). Suppose n = -3*t + 8*t. Suppose -t = -0*q - 5*q. Is q a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 14) to base 6.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) 4\/7 (b) -2\/3 (c) -0.03 (d) 0 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -0*l + 4. Let u(y) = -y**2 + y. Let x be u(l). Find h such that x*h - 4*h**2 + 6*h**3 + 0*h = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -4, 1, -2, 3\/7 in decreasing order.\nAnswer: 1, 3\/7, 1\/4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 1414223431?\nAnswer: -1414223421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4249051995?\nAnswer: 3, 5, 17, 16662949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - -6)\/(16\/20)*-2. Sort 1, -6, q, 5.\nAnswer: -6, q, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 1.293\nAnswer: 6.465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 117 = 3*v, -124 = -i - 2*v - 2*v. Suppose 5*p - 65 = 6*p. Let k = i + p. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)*1 + sqrt(42))\/sqrt(6) - sqrt(21)\/(-1*sqrt(3)).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26558405*a**3*w**3 - 2*a**3*w**2 + 615*a**3*w - a**2*w**2 - 515*a**2*w + 2*a*w - 3*a wrt w?\nAnswer: 159350430*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 2)*(-2*m + 0 + 0)*(1 - 1 - m**2)*(3*m**2 - 7*m**2 + 3*m**2).\nAnswer: -2*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -9*f + 12*f. Suppose 4*l = -f + 33. Let q = l - -5. Calculate the remainder when 37 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2501304 and 312?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 80147654 to the power of 1\/3, to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -4*h**2 + 5. Let j(w) = 10*w**2 - 12. Let b(m) = 5*j(m) + 12*n(m). Let q be 57 - -4*4\/(-32)*-10. Let t(u) = q*u + 1010 - 1010. Give t(b(k)).\nAnswer: 124*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 22, 10, 2\/13, -5, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than -1236.748798672357?\nAnswer: -1236.448798672357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 34685.7336 nanoseconds?\nAnswer: 0.00000000005735075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 3 - (-3 + 0)) + (-6 - -8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3*j - 6*j = 87, -4*m - 2*j + 122 = 0. Calculate the greatest common factor of 6 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/1112 and 13\/11.\nAnswer: 12232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4742306?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*n**3*s**3 + 666*n**3*s**2*t + 3*n*t + 10*n + 4*s**3*t - t - 4 wrt n?\nAnswer: 12*n*s**3 + 3996*n*s**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1359625533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/569 and 884\/2184 + 2\/12.\nAnswer: 3983","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 47.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -12142342 (base 8) to base 13\nAnswer: -727194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 4921.70616 minutes?\nAnswer: 0.4882645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 8 = -3*r - 2*r, 0 = 2*r - 4*v + 16. Let o = r - -3. Let n be o\/9 + (-105)\/(-9). Solve 0*m - 13 = 2*t - 3*m, 4*m - n = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ed when two letters picked without replacement from gdmdeuek?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 11336*j - 1212953. Determine v(107).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 3 + 2*x**4 - 34729*x**3 + 29*x**2 + 6 - 21*x + 34714*x**3 - 4 = 0.\nAnswer: 1\/2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z*z**(-2\/5)*z)\/z))\/z**(1\/10))**(8\/7) assuming z is positive.\nAnswer: z**(12\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 16*s + 37. Give y(-5).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 1:19 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 8)*(-2*a - a**2 + 2*a) + (-6 - 2 - 12)*(-8 + 8 + 5*a**2).\nAnswer: -91*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/140*(-7030)\/1184?\nAnswer: 19\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 79.017 - 0.017. Let o = -73 + d. Which is the nearest to o? (a) 4 (b) 5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -12*w**3 + w**2 - 10*w + 124. What is i(-9)?\nAnswer: 9043","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -5a028?\nAnswer: 5a027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 4, 3*m - 3*k + 2 - 5 = 0. Solve 2*h - 4 = -m*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 3*p**2 - p - 3. Let d be v(-3). Let b(q) = q**2 + 249 - 502 - q + 251. Calculate b(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3222, -3251, -3280, -3309, -3338, -3367?\nAnswer: -3396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + z, -4*z - z = -3*t + 23. What is the tens digit of 0 - (-406)\/t*1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*h + 56*h + 59*h + 65*h - 267*h.\nAnswer: -25*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25\/4 of a century?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/((-357)\/14)*45\/(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1437 < 1434?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -9*l**2 + 503. Let p = -9 + 9. Let v(q) = 3*q + p*q - 2*q - 2*q. Calculate v(r(o)).\nAnswer: 18*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4085031?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*v**(-1))\/v)**(1\/12)\/(v*(v\/(v\/v**(1\/5)))\/v*v)**(-3\/32))**9 assuming v is positive.\nAnswer: v**(81\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 22*b**2 + b - 1. Let y be k(1). Let j = 28 - y. Suppose -3*v = -3 - j. Calculate the greatest common factor of v and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90818 divided by 26.\nAnswer: -3493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3 + 143394*m**2 - 430161*m + 286770.\nAnswer: -3*(m - 47795)*(m - 2)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + -1)*(-3)\/6*-1. Calculate the greatest common divisor of j and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 171 and 1611.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -c + 5*u, 2*c - 5 = -u - 11. Let x be c + ((-8)\/(-28) - 14008\/28). Round x to the nearest 10.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of x**3\/3 - 10*x + 7. What is the derivative of y(n) wrt n?\nAnswer: 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -801 times -0.78?\nAnswer: 624.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q**2 + 3*q**2 - 3*q**2)*((0*q + 4*q - 3*q)*(4 + 4 - 3) + (-4*q + 3*q + 3*q)*(3 - 1 - 5)) in the form d + x*q**2 + a*q**3 + i*q and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 10:53 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -63068646 take away -66?\nAnswer: -63068580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -3*p + 12, -3*n + 0*p = -4*p - 13. Factor 2\/3 - 4\/3*f**n + f + 1\/3*f**5 - 2\/3*f**2 + 0*f**4.\nAnswer: (f - 2)*(f - 1)*(f + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 838 = 3*q, q + 0*q + 4*n = 266. Suppose -g - 4*g + q = u, -1054 = -4*u - 2*g. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -272463 - 2*j**2 - 273116 + 545579.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 719644 is divided by 3011.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 513265 and 8?\nAnswer: 4106120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -30 (b) -0.3 (c) -3 (d) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48 or -44?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 2*d + d)*(6*d - 7*d - 28*d) + 10*d**2 + 27*d**2 - 9*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 - -12 - (-97 - -89)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/9 - 237346*u**2\/3 - 21124802720*u\/3 + 63375120200\/9.\nAnswer: -2*(u - 1)*(u + 178010)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3925021354?\nAnswer: 2, 1962510677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)*-2 + sqrt(315))\/(sqrt(63)*4).\nAnswer: -sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + x + 14 = 0, -2*d - 3*d + 11 = 2*x. Suppose 0 = 3*l + 1 - 4, d*v = 2*l + 73. Is v a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 3 + 19*a - 20*a + (-3 - 2 + 4)*(-2*a - 4 + 4) in the form m*a + b and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 169614?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28182*d - 49\/8*d**5 - 27829*d**3 + 4356 + 3269\/4*d**4 + 37258*d**2 = 0 for d.\nAnswer: -2\/7, 2, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 7*u**2 + 5*u - 12. Let p be f(-5). Suppose 4 = 9*s - p*s. Let t(n) = -48*n + 2. What is the units digit of t(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(275) - (sqrt(275) + -2)) + sqrt(275) + sqrt(275))**2.\nAnswer: 120*sqrt(11) + 1136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/6*-2 + 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/365624 and 9\/80.\nAnswer: 3656240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15469 = 221*r - 37637 - 11866. Calculate the highest common factor of 2101 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80\/96*(-16)\/20.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36077 is divided by 98?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*y + 29 + 76 = 0. Solve y*o + 18 = -7*q + 6*q, -3*q - 29 = 4*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v*(v**(1\/2)*v)\/v)*v*v**7\/v*v*v*v*v**(-5\/6)*v*v**3 assuming v is positive.\nAnswer: v**(38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of 7*q**4\/4 + q**3\/3 + 2992*q. Let z(u) = -2*u**2. Calculate r(z(h)).\nAnswer: 84*h**4 - 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*i - 1825 = 165*i - 475. Is -1\/180 less than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3143313233 (base 5) to base 14.\nAnswer: -c44682","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*x = -28*x - 2080. What are the prime factors of x?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 60?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n - 4 + 0 - 4621*n**2 + 11462*n**2 + 4.\nAnswer: 6841*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - ((-1 - 5) + 3 + 2 + 8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-9955))\/((-2603)\/28633)?\nAnswer: 2\/181","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 0*y - 2\/3*y**3 + 0*y**2 - 8. Let t(b) = -b. Calculate t(v(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 - 31. Let a = 1 - -8. Let r = a - d. Solve -r*h + 31 = 6 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 3*x**2 - 18*x - 42. Let j be t(-4). Which is smaller: 21 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -0.3, -0.037?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 3*n = 30, 3*q + 0*q + n - 28 = 0. What is the smallest common multiple of q and (-1)\/1*-3*(0 + 2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46756253.\nAnswer: 313, 149381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 + -32. Put 6, 5, -2, m in decreasing order.\nAnswer: 6, 5, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 9:00 PM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(5\/6)*d)\/d)\/(d*d**(-5\/3)) assuming d is positive.\nAnswer: d**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -2*n + 602, 6*t + 2*n = t + 751. Let l(m) = 5*m**2 - 4*m + 5. Let y be l(-6). Let o = y - t. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -818, -837, -856, -875?\n\"Answer: -19*t - 799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 21. Let k(a) = -2 + 27*a**3 - 21*a + l*a - 1 + 8*a. Is k(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*f + 34*f - 1 - 2*f**2 - 1 + (2*f - 3*f + 2*f)*(2*f - 9*f + f + 0 + 0 + f + (2 - 3 + 0)*(-f + 0*f + 0*f)) as s*f**2 + b + v*f and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) 0.5 (c) -63 (d) 7 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -2*b. Let d(i) = i + 6. Calculate d(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 1. Let b = -170.1 + 170. What is the closest to -1 in w, -5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*a + 365 + 109 = 108 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-16)\/18)\/(-4) - 43\/(-9). Is c\/(125\/165565) - 2\/(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1715069304, -1715069303, -1715069302?\n\"Answer: k - 1715069305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 747773051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2558 is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**2 - 1098*r + 100467 = 0. Calculate r.\nAnswer: 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a**(-5\/9)*a*a)*a*a\/(((a*a**(-2\/17)*a)\/a)\/a) assuming a is positive.\nAnswer: a**(256\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1413807.\nAnswer: 3, 37, 47, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + y**2 - 2. Let p(v) = 0*v**3 - 7*v**2 + v**3 + 2*v**2 - 4 + 5*v. Let f be p(4). What is u(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -92632 less than -92632?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-5))\/((-4)\/(-20)). Let f be (20\/6)\/((-4)\/(-18)*d). Suppose -c + f*x = -0*c + 6, -3*c = -5*x - 2. Which is greater: c or 23\/5?\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 603\/(-18) - (-6)\/(-4). Let v = 38 + a. Find the first derivative of -6*b**2 + v + 3 + 4 - 12 wrt b.\nAnswer: -12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1222 is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 398867647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 58*g + 574. Let h be i(-13). Let w(t) = 2*t**2 + 19*t - 26. Determine w(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c + 6*c = 26 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 7:55 AM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 987650182228.7 + 2\nAnswer: 987650182230.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 146.71 and -0.03?\nAnswer: -4.4013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.8506588 centuries?\nAnswer: 85.06588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2\/9 + 7624*t\/9 + 474880\/3.\nAnswer: 4*(t + 210)*(t + 1696)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.15 (b) 3\/7 (c) -24786 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**19*f))\/f**(-9) assuming f is positive.\nAnswer: f**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5019)\/(-33) - ((-260)\/44 + 6). Let u = 152 - h. Let y be (1\/(-4))\/(-1 + 0). What is the third smallest value in y, 5, u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qlqqlqqlqolol. What is prob of sequence lqq?\nAnswer: 25\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wfwl when four letters picked without replacement from jfwwslsffwfwws.\nAnswer: 10\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2004 and -5229.\nAnswer: -7233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -133 (base 6) to base 7\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 0*y + 87 = 2*d, -4*d - 4*y = -184. What is the least common multiple of 30 and d?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44 * 16.023\nAnswer: -705.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*14*(-30)\/(-105).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1202763\/8 at most 150345?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 10:53 AM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/3 - 23*m\/3 + 14.\nAnswer: (m - 21)*(m - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3260 is divided by 1062?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7159542 is divided by 2236?\nAnswer: 2106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 2:49 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 9:56 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 43 + -150?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -87, -163, -237, -309, -379?\n\"Answer: q**2 - 79*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 105\/(-140) - (-11)\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 869745.1 kilograms?\nAnswer: 869745100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1687496591*i**2 + 843748264*i**2 + 843748298*i**2.\nAnswer: -29*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 382, 382, 392, 418, 466, 542, 652, 802?\nAnswer: 998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence noo when three letters picked without replacement from onnoonooonon?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/3*270\/(-440)*-11)\/(8\/80).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 + 3 - 1) + (137 - 116).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 8 = -28. Solve 2*z - 7 = o*k, -z = -k - 3 + 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*f**4 - 13*f**4 - 15*f + 6*f**4 wrt f?\nAnswer: -144*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7043717*l**3*p**6 - 4*l**3*p + 557*l**3 - 160*l**2*p - 4*l*p**2 wrt p.\nAnswer: -845246040*l**3*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/5 of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -464350551\/2080439845 + 1\/1304351. Let k = -6\/145 - p. Let t = 0.2 + -0.3. What is the nearest to t in k, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -225*p**2 - 3 + 1 + 223*p**2 to r*p**2 + n*p + j and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -35, -131, -5, -4\/3, -2\/3, 25?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0713187 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = d + 2. What is the smallest common multiple of 10 and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 2*y**2 - 8*y + 2. What is i(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1.74 + -795854367\nAnswer: -795854365.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 553.005 millilitres in litres?\nAnswer: 0.553005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080526801 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z. Let c be f(1). What is the units digit of ((-6)\/(-9))\/(c\/(-24))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 56460625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 + 7064907*k - 7064904.\nAnswer: -3*(k - 2354968)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/25 of a kilometer?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -4*j**3 - j**2 + j + 3. What is c(3)?\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1809 smaller than 1810?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.03716155 and -2.\nAnswer: -1.96283845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3993566111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -53*x**2 - 1011*x + 212. What is r(-16)?\nAnswer: 2820","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.8865 decades in centuries?\nAnswer: 6.88865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -126*l**6 - 2*l**5 + 57*l**2.\nAnswer: -15120*l**3 - 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -18*a + 7. Let l be t(5). Let k(y) = -y**2 + 2*y + 22. Let z be k(9). Let g = z - l. List the prime factors of g.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**2 + 129*n + 41. Give q(-64).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in -9.1, 3, 4, -366, 2\/37?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -133, -132, -131?\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 4*o**2 + 2*o + 1. Suppose 65 + 40 = 3*b. Let p = b - 30. Determine r(p).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 24*v**2 + 26*v + 22. Let b(h) = -3*h**3 - 71*h**2 + 79*h + 66. Let m(j) = -3*b(j) + 8*i(j). What is the tens digit of m(-22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 13)\/(-2)*5. Let x = 79 + s. Suppose -3*q = -35 - x. Is q a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**2 - 9*r - 13. Suppose -b = -3*b + 12. Let c be v(b). Suppose -q + 11254 = 5*m, c*m - 2238 = 4*m + 3*q. Round m to the nearest 100.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1971, -4.\nAnswer: -5, -4, 1971","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2303 (base 6) to base 15\nAnswer: -263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -3. What is the third derivative of -2*r**v + 2*r**6 - 2*r**2 + r**2 wrt r?\nAnswer: 240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 187 - 274. Let s = -24989\/138 - -2160\/23. Let b = r - s. Put b, -0.2, -2 in descending order.\nAnswer: b, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2348901.94 to the nearest one hundred thousand.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61909, 123818, 185731, 247648?\nAnswer: 309569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-111)\/(-185) - ((-4)\/10 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110110 - 1001?\nAnswer: 10101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of j**4\/12 + 2*j**3\/3 + 2*j**2 - 17*j + 10. Let n(f) = f**2 + 7*f + 3. Let o be n(-6). Determine p(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 11100010001000101?\nAnswer: -11100010001001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4856 - 0.152?\nAnswer: 4855.848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -395 - -428.224. Let k = -18.881 + v. Let i = k + -0.043. What is i rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-7)*u*u**(-1)*u)\/((u\/(u*(u\/u**1)\/u))\/u)**(-12))\/((u\/u**(2\/3))**(6\/13)\/(u**(2\/21)\/(u\/(u\/u**5)))) assuming u is positive.\nAnswer: u**(-2746\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (9 + 15\/25)\/((-1)\/(2010\/(-9)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 9464?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -131 (base 4) to base 6\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-9) + -5 + (5 - 1). Let n = 1160\/7 - 166. Which is the closest to 1? (a) 0.2 (b) n (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s\/s**(-19))\/(s\/((s\/(s*s\/s**(3\/8)))\/s)))**(-1\/11))**(7\/2))**(-2\/33) assuming s is positive.\nAnswer: s**(343\/968)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3009356 and 193564?\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 122588600 to the nearest integer?\nAnswer: 11072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12535641 to the nearest integer?\nAnswer: 3541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/168 and 33\/647234?\nAnswer: 7766808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 74\/(-26) + 3 - 705\/(-65). Let f be (-9)\/6 + 1 - i\/(-2). Suppose f*v + 9 = 124. List the prime factors of v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 24\/42 + (-96)\/168. Let m(u) = -u + 3 - 8 - 6 + 2*u. Give m(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -216875 by -8675.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 274883095 to the nearest integer?\nAnswer: 16580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2. Let w(x) = 3*x - 4378. Determine r(w(d)).\nAnswer: 9*d**2 - 26268*d + 19166884","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 88808 - 9946417\/112. Calculate the common denominator of w and -43\/44.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 57, 3, 1 in descending order.\nAnswer: 57, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -393 less than -0.2?\nAnswer: 392.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 2*p, 4*p - 4 = -5*q - 0. Suppose q*b - 281 = -81. What is the highest common divisor of b and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 9*o**2 + 11*o - 12. Let b be x(10). Let t be 762\/(4 + 11\/(-3)). Is ((-4)\/12)\/(b\/t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 320.1 - 326. Let n = -5.89 - h. What is the nearest to n in 3, -0.3, 2\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1286220 divided by -4?\nAnswer: 321555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 213788 and 12.\nAnswer: 641364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011120032 (base 4) in base 13?\nAnswer: 9c467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 86, 1 in decreasing order.\nAnswer: 86, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/3*-34*1. Let n be u\/132 - (-1)\/(-3). Let h = -253101\/2 - -126552. Put 1, n, 8, h in decreasing order.\nAnswer: 8, h, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11513527 is divided by 90?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 13 = s, 5*b + 2*s - 31 = -2*s. Let t(g) = 2*g - 16. Determine t(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of k*m**3 - 10*k*m**2 + 14*k*m - 5*k + 3*m**3 - 39252*m**2 - 2365*m - 4 wrt m.\nAnswer: 6*k*m - 20*k + 18*m - 78504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 170983\/9960 + -1\/3320. Which is smaller: m or 18?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 454090253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1355763537+-5481\nAnswer: 1355758056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 4*h - 3*n, 3*h + 0*h + 5*n - 21 = 0. Suppose 4*y - h = -28. What is the units digit of ((-87)\/3)\/(-1) - y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -f**4\/12 - 3*f**3\/2 + 2*f**2 + 3*f. Suppose -18*w - 64 = -10*w. Determine i(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-9))**36\/(j**6\/(j\/(j\/(j\/(j*j**(-3\/31)))))) assuming j is positive.\nAnswer: j**(-10227\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -65.634 to zero decimal places.\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20.203 + -17.203. Which is the closest to y? (a) 10 (b) 1\/6 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2819960 - 11710986 - 2499599 - l**3 - 740*l**2 + 65*l**2 - 151875*l.\nAnswer: -(l + 225)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1355 rounded to 2 dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zl when two letters picked without replacement from zczzlclllz.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 760298914?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 231884033?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/11)*n**0\/n)\/(n\/(n\/(n*n*n\/n**1)))**(-24))\/((n\/n**(2\/7)*n**(-4))\/((n\/(n\/((n\/n**3*n)\/n)))\/(n\/(n*n**(1\/4))))) assuming n is positive.\nAnswer: n**(15005\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140231 is divided by 62?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v**2 + v**2 + 3*v**2 - 3*v**2 + 4*v**2 + v**2 + (v - v - 5*v)*(3*v - 2*v + 0*v) - 2*v - v**2 + 2*v to the form x*v**2 + m*v + h and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of g**5\/10 - 35*g**4\/2 + 407*g**3\/3 - 303*g**2 - 3*g + 35. Determine q, given that u(q) = 0.\nAnswer: 1, 3, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(832) + (1 + sqrt(832))*-6)*-4 + -1*-1*sqrt(832)*-6)**2.\nAnswer: 4704*sqrt(13) + 163513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8022\/(-13370)*(-130)\/(-36).\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of -30184*f**3\/3 + 16*f**2 - 35*f. Let u be o(-8). Suppose 0 = j - 857024 - u. Round j to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 764, 0, 0.16, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 320\/45 - 21\/189\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*z - 56058943 = -96*z + 32222178. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**5 + 3*s**5 - s**5 + (509*s**2 - 122*s**4 - 509*s**2)*(0 + s + 0) + 116*s**4 - 116*s**4 - 15*s**5 + 2*s**4 + s**5 + 1 - 6*s + 5*s - s.\nAnswer: -135*s**5 + 2*s**4 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1877.9377 + 1.6623. What is y rounded to the nearest one hundred?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22478\/5 - -4495. What is the fourth smallest value in 4, -7, -5, v, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38680894 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n - 1. Let z be d(2). Suppose -4*w = -z - 7. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -3) + -4 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v - 1. Let f(o) = -6 + 3*o - 7*o + 9 + 2*o**2 - 3*o**2. Give 2*f(q) + 7*j(q).\nAnswer: -2*q**2 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2315, -16922, -56557, -133730, -260951?\n\"Answer: -2085*r**3 - 4*r**2 - 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -1567*k**2\/2 + 1438*k + 197. Differentiate l(u) wrt u.\nAnswer: -1567","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17097575.\nAnswer: 5, 11, 79, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**3 + 496615*a**2 + 496620*a.\nAnswer: -5*a*(a - 99324)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.08688 - -3652.91312. Let o = -2026 + a. Let k = o - 1626.99999183. Round k to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 106379\/5488 + 3\/16 - 19?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1034451 (base 6) in base 8?\nAnswer: 144577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1076 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of 4*b**3 - 5*b - 33. Let u(c) be the first derivative of -2*c**3\/3 + 3. Calculate w(u(s)).\nAnswer: -48*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (19 - (1 - -11)) + -5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**1*z*z**12*z)\/((z\/((z\/(z\/z**18))\/z))\/(z*z\/(z*z**(-1))*z)))**(-41) assuming z is positive.\nAnswer: z**(-1394)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*a = -464*a - 334*a - 2958 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v + 4. Let r be z(-5). Let j = 4 + r. Solve j*s = -3*p + 5*p - 7, 0 = 4*s + 5*p + 17 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p - 72. Let a be (-3)\/(30\/(-25))*(-684)\/(-95). What is y(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -2*b - 26, -79*k + 70*k + 5*b - 34 = 0 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (63 - 46) + 3 + -15 + 11?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 1. Let a(h) = -5*h**2 - 5*h + 11. Let d(q) = -a(q) + 6*b(q). Let r be d(2). Put r, 8, -3 in increasing order.\nAnswer: -3, r, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1070, -4690, -8310, -11930?\n\"Answer: -3620*z + 2550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 6559336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 w when three letters picked without replacement from wwwiwqcqqiwdcw?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*o - z = -64*o + 8, -z = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5055605849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 0) + -202 + 198 - -24\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h + 5*z - 13 = 3*h + 2*h + 5*h - 120, h + 4*z = 11 for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 11*j**2 - 236*j - 962. What is the remainder when 686 is divided by m(-4)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12211 (base 3) to base 15.\nAnswer: -a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 21243430344?\nAnswer: -21243430340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 51059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 958*x**3\/3 - 1189. Let z(j) = 2*j**2. Give l(z(k)).\nAnswer: 3832*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*d**5 - 36*d**4 - 177*d wrt d.\nAnswer: 80*d**3 - 432*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.04, 0.3, 1, 2\/7, 2\/3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 230 = 3*x, 4*u + 0*x + 2*x - 232 = 0. Suppose -5*n + 5*p + 85 = 0, n + 53 = 5*n - p. Calculate the remainder when u is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, 0.2, -0.5, -2, -63\/5?\nAnswer: -63\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 - -16. What is the closest to 0.1 in 5, l, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 158 - 142. Let k(o) = -o**2 + 4. Let y be k(-3). Let t = 8 + y. Solve 2*v - v = t*x - 14, 2*x - 2*v = w for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - o - 25 = 3*s, -3*s = -4*o - 5. Let z(v) = -2*v**2 + 5*v - 2. Let r be z(2). Suppose r = 12*l - 10*l. Put 1, l, s in decreasing order.\nAnswer: 1, l, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 3923892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*k + 5 + 23 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, 51, 625, -4 in descending order.\nAnswer: 625, 51, -4, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 6 = 4*i, -t = 3*i + 3 - 11. Solve 0*m + o = -2*m + i, -5*o = 4*m + 13 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(200) + 0)**2 + sqrt(200) + -4*(sqrt(200) + 0 + sqrt(200)).\nAnswer: -600 - 70*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*k + k - 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 4 - (1 - -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - 7*y - 10. Determine d(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of j**6\/20 - 26*j**5\/15 + 33*j**4\/4 + 30*j**3 + 7*j**2 - 14. Factor s(d).\nAnswer: 2*(d - 15)*(d - 3)*(3*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16 or -11819\/777?\nAnswer: -11819\/777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) -6 (b) 0.1 (c) -11 (d) 4.96\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -5*h**2. Let c(j) = 81*j**2 - 158*j**2 + 74*j**2. What is c(b(x))?\nAnswer: -75*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 4*d**2 - 3899*d - 15599. What is i(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7\/2)\/(0 - (-1)\/22). Suppose -5*w = -323 - o. What is the highest common factor of w and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**2 - 2*i + 1. Let b(v) = 46*v**2 + 4*v - 2. Determine 5*b(u) + 10*f(u).\nAnswer: 210*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.11 equal to 2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/251692?\nAnswer: 1\/251692","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11425198.\nAnswer: 2, 353, 16183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*h - h. Suppose -n + 4 = d, h*n - 8 = -d - 2. Suppose -3*u = -d*u - 67. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-165 + 231 + 674)*(2 - 3 + 3) + (3 - 1 - 1)*(2 - 1 + 2))*(5*s - 2*s - 4*s) as f + n*s and give n.\nAnswer: -1483","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 9:34 AM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -5*w + 4. Let s(f) = 5 + 2*f + 11 - 5 + 1. Let j be s(w). Solve 6*o - j = 2*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k - 8. Let s be o(-5). Let d = s - -17. Calculate the remainder when d is divided by (-6)\/(10\/8 + -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 747740 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 20 = -2*t, 26 = -2*t - a + 61 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 3*j + 11. Calculate the remainder when 103\/4 - (-1)\/4 is divided by o(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -37*v. Let z(k) = 78*k. Let w(o) = -7*m(o) - 3*z(o). Let q(s) = -2*s - 8. Calculate w(q(c)).\nAnswer: -50*c - 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 177\/345 + (-33)\/55?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**3 + 11 - 12 - 17*t**2 + 4 - t**3 + 10 - 44*t. Does 22 divide p(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 10:26 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 10*l + 3. Let x be v(-10). Suppose x*y + 4 - 2 = 2*g, -12 = 2*g + 4*y. Which is bigger: g or -13\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 819 a factor of 1877148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -35*b**4\/4 + b**3\/3 + 128*b**2 - 3*b - 6. What is the first derivative of m(c) wrt c?\nAnswer: -210*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + 13*z - 3. Let s be n(11). Let k = s - -60. What is the remainder when k is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/6 - (-3)\/6. Suppose -l*i = 22 + 2. Let x(y) = -y**2 - 14*y - 6. Is x(i) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1274447 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 62.7 + -43.3. Let j = -12.4 + p. Which is smaller: -0.8 or j?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111320.\nAnswer: 2, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 12:53 AM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - 1) + 159 + -176?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/29940224 and 89\/2752.\nAnswer: 1287429632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-57)\/(28728\/(-448)))\/((-24)\/(-270))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 117 - -8. Suppose -h = -2*x - b + 347, -3*x = -b - 718. What are the prime factors of x?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4176?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281 is divided by 67.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1374, 5406, 12080, 21402, 33378, 48014, 65316, 85290?\n\"Answer: z**3 + 1315*z**2 + 80*z - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*z**2 + 221*z**2 - 117*z**2.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 - 1.1. Let j = -4.5 + 5. Which is the second smallest value? (a) j (b) l (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1221 or -0.10513?\nAnswer: -0.10513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 27462949071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -37*x**3 + 2*x**2 + 7. Let i(c) = -3*c - 9. Let k be i(-4). Let w be z(k). Is 1\/(2*(-1)\/w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 5:47 AM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5682760336?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 367869363?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2051495\/71 or -1\/2?\nAnswer: 2051495\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 186*f**2 - 8 + 5 - 1.\nAnswer: 186*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-78)*5214\/(-13904)?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 797\/60 + 84\/(-1008). Factor 72\/5*f - r*f**2 + 24\/5*f**3 - 27\/5 - 3\/5*f**4.\nAnswer: -3*(f - 3)**2*(f - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3*sqrt(700)*-2 + 5*(0 + sqrt(700) + sqrt(700) + sqrt(700)))**2.\nAnswer: 308699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*j + 12 = -116*j. Solve j*d = t - 2*t + 9, 4*d = 3*t + 25 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2 - 23*i + 110. What is the remainder when 5189 is divided by f(6)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65060?\nAnswer: 2, 5, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176471378?\nAnswer: 2, 88235689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -7*f**3 - 49*f**2 + 8*f - 394. Determine t(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-6) + 748\/33 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 10*i. Let s(g) = g + 3768. Give k(s(z)).\nAnswer: 10*z + 37680","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o + 4*g - 18 = 10*o, 5*g = 3*o + 19. Solve 0*y**o - 3629*y + 2*y**2 + 3581*y = 0 for y.\nAnswer: 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1\/5)\/(4\/220) and -29\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -723, 2, 4, -25, -1 in ascending order.\nAnswer: -723, -25, -3, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 42533067419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 29*o - 16 = -31*o, -5*t - 40 = -5*o for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1924658 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/29664 and -21\/32960.\nAnswer: 296640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1971948?\nAnswer: 2, 3, 11, 14939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 2 = -3*z. Differentiate 3 + 4*k**z - 1 - 2 - 2 wrt k.\nAnswer: 8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 30?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0221786919 rounded to 3 decimal places?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -298, -1113, -2702, -5323, -9234?\nAnswer: -14693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y**3 + 4*y**3 + 14*y**3.\nAnswer: 26*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 606\/(-132) - (4 + (-8 - -3)) and -31\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176082 to the power of 1\/2, to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -106 - -106.06. Let w = 0.5 + -3.5. Let r = -1493\/5 + 299. What is the third smallest value in w, r, c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 663 and 100997?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.7 + -0.7. Let j = -2 + o. What is the closest to -2 in j, -3\/2, -0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 68, 57, 4, 103, 1, -6.\nAnswer: -6, 0, 1, 4, 57, 68, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 7. Let b = 0 + k. Suppose -2*x - b*x = -84. Calculate the remainder when 61 is divided by x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7078141 smaller than 7078141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.1098 kilograms in micrograms?\nAnswer: 96109800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of 26*x + 18*x**2 + 0 - 1\/3*x**3. Let u be y(17). Solve u*h - 2*b = -4*b - 4, -3*h = 2*b + 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 937133145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 1. Let v(o) = -o**2 + 719486 + 719488 - 1438980. Let m(h) = 2*h**2 - 5*h + 3. Let y be m(3). Give y*a(b) + v(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -92.615573 to one dp.\nAnswer: -92.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 272*b**2 - 61*b**2 + 161*b**2 + 221*b**2 - 95*b**2 to the form j*b + l + m*b**2 and give m.\nAnswer: 498","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*g**3 - 1 + (0 + g**3 + 0)*(3 + 2 - 6) + (-3*g**2 - 3*g**2 + 5*g**2)*(g + 2 - 2) + 3*g**3 + g - g + g + 14*g**3 - g.\nAnswer: 17*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4729720 and 2968.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1187?\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/30*(-22)\/38*7 and -53\/4?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80 and 136?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 447 is divided by 91.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*2 - (-8)\/(-4). Suppose g + g = p. Solve l + 7 = g for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 660.4 + -657.4. Let c = 0.01 + -1.41. What is the nearest to -1\/2 in c, 1\/11, q?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -j**3\/6 + 2*j**2 + 4*j. What are the prime factors of v(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 7*x = -30. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 69\/349 + -55901\/3839. Let f = 123642 - 17678840\/143. Let r = s + f. Find the common denominator of r and 56\/5.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert feb (base 16) to base 7.\nAnswer: 14611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8206.4, 6, -2.7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.05 (b) -4 (c) 14 (d) -0.1 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 5*p**2 - 5*p - 2. Let g = -21 - -27. Let o be c(g). Solve 5*d + o*k + 16 = 0, -3*d - 15 = -2*k - k for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 91756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10691 - -10853. What is the remainder when 1148 is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 29 = h + 2*m, 2*h - 5*m - 70 = 0. Is h a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 12 = -4*x + 4*j, 3*x + 2*j - 4 = 0. Let p = 2 - -2. Suppose 0 = p*w - w - 6. Solve 4*n = 2*n + y - w, -x = -5*n - y for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2033 - -2863. Let i = t - 560. Does 9 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3243 and -107035?\nAnswer: 110278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 5*a. Let r(f) = 2*f**2 + 10*f. What is 5*n(i) - 2*r(i)?\nAnswer: -4*i**2 + 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**1)\/t*t\/(t*t\/(t*t**(-3)*t)))\/(t\/(t*t**(-2\/11))*t\/(t**(-6)\/t)))**(12\/7) assuming t is positive.\nAnswer: t**(-1476\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -29*p - 1. Let v(b) = -33644*b. What is o(v(z))?\nAnswer: 975676*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1768.144 rounded to the nearest 10?\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c**3 + 97499708*c**2 - 487498615*c\/2 + 152343325 = 0. Calculate c.\nAnswer: -12187466, 5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -243 + -32. Let u = r + 291. What is the lowest common multiple of u and 28?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26590705 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -7151\nAnswer: -14302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6*(8 - ((-35)\/42 - 14903\/3))?\nAnswer: 3, 37, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.6 - 0.3. Let f = 3.977428 + 0.022572. What is the smallest value in -1\/8, w, f, 3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of 269*w**3\/6 + 17*w**2\/2 - 2*w. Let t be b(7). Round t to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10 + -2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 370.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 93, -36, 8, 2, -1, 3 in increasing order.\nAnswer: -36, -1, 2, 3, 8, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 144 + -202. Let u = 923 - 976.3. Let b = u - h. What is b rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -919 (base 12) in base 11?\nAnswer: -a98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4\/11 (b) -5\/3 (c) 2\/9 (d) -27 (e) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9611.447ml?\nAnswer: 9.611447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 246305096 divided by 2?\nAnswer: 123152548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20113032021 - 2?\nAnswer: -20113032023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20231*g - 280163 + 1003649 = -571298 for g.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6.4 or 103?\nAnswer: -6.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 9:08 PM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -21. Let f be 15\/m - 231\/(-12). Suppose j - 2 = f. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7001.8 - -4.3086\nAnswer: -6997.4914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 59?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a kilometer in meters?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3627, -6834, -9621, -11988?\n\"Answer: 210*n**2 - 3837*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 210 divide 552510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1 + 1 + sqrt(304)) - (sqrt(931) + sqrt(931) + 1 + (sqrt(95)\/sqrt(405) - sqrt(19))))**2.\nAnswer: 124*sqrt(19) + 79597\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (62 - ((-24960)\/26)\/(-30)) + -98?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 12) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 5) in base 4?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -567, -671, -847, -1095?\nAnswer: -1415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of x**5\/330 + 1171*x**4\/132 - 237*x**2 - 4*x - 1. Factor y(i).\nAnswer: 2*i*(i + 1171)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -1\/4, -1.9, -16?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1336673981 to the power of 1\/3, to the nearest integer?\nAnswer: 1102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/17 - 19452*l\/17 - 2288.\nAnswer: -2*(l + 2)*(l + 9724)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 5:06 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 2*m - 10. Suppose 3*n - y - 45 = 0, 4*n + 0*y - 60 = -y. Let k be (-6)\/(-4)*50\/n. Let a be g(k). Solve a - 1 = 4*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y - 13*y - 20 = 0. Solve -4*p = -5*u + 1 - 0, -3*u + 8 = y*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 1540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -64, -44, -24, -4, 16, 36?\n\"Answer: 20*m - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 124599792727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g + 4. Give o(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -12*h. Suppose -p + c = -38, 109 = 10*p - 7*p - 2*c. Suppose -5*q = -3*k - 8*q - p, q = -5. Let f(t) = 6*t. What is k*a(m) - 11*f(m)?\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1411340204 (base 5) to base 12\nAnswer: -12677b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115337 + 78507 = 1270*y for y.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-1216)*24*(-16)\/6.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 696847, 2787390, 6271627, 11149558?\nAnswer: 17421183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -379 + 383. Are v and 12 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -824?\nAnswer: -824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-156)\/364 - 11\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - z + 5 = -8, 2*x - 11 = -3*z. Suppose -4*k + 28 = 5*q, -3*k + 4 = -k. Let n = q - x. Solve d - 3*h - 10 = n, 4*h = 2 - 10 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.648331 nanograms?\nAnswer: 0.000648331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 393 - -4. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*p - 2. Let n = p + 4. Let y = -3 + n. Calculate the least common multiple of 9 and y.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.355372 rounded to 1 decimal place?\nAnswer: 5.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24*s**2\/7 - 7371194*s\/7 - 614266\/7.\nAnswer: -2*(s + 307133)*(12*s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2\/7 + 89316*w\/7 - 89312\/7.\nAnswer: -4*(w - 22328)*(w - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*v - g + 58569 = 0, -3*g + 15 = 0. Suppose -29*j = v - 787172. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*t**2 - 69*t**2 + 11*t**2.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 0)*(1 - 105 + 19)*(-2*h**2 + h**2 + 3*h**2) to the form l*h**2 + g + r*h and give l.\nAnswer: 340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t - t + t)*(-10*t + 6*t + t).\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 93.96 + -1.96. Let o = 91.809 - f. Round o to two dps.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -7*l**3 - 10*l**2 + 46*l + 54. Is z(-25) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(190) - (sqrt(190) - -3*(sqrt(190) - -1*sqrt(190) - sqrt(190)))) + sqrt(190)*-1*4 + sqrt(190))\/((sqrt(110)*1)\/sqrt(11) + sqrt(640)))**2*5.\nAnswer: 380\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 87595\/36 + -9757\/4. Calculate the common denominator of q and -85\/147.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 303.3 + -303. What is the closest to -1\/2 in 2, -5\/6, a, -0.1?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 + (31 - 54) + 0 + -5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/7 or -38\/21?\nAnswer: -38\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 75 and 248598825.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-7) + 10 + 805\/(-98)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 1. Let o be (1 - c)\/(-1)*-18. Let a = o - -28. Solve a*d = 5*d + 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 10. Suppose 4*m = -4*l + 164, -d*l + 60 = m - 71. What is the remainder when l is divided by 2\/(-2) + 26\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/63*((-18)\/8 - 201\/(-268))?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -15. What is the remainder when 8\/(3 + 1 + q) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 6*k**2 - 6*k + 7. Let w be f(5). Let h(q) = 5 + w - q + q**2 - q - 3. What is h(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 4. Suppose d - 133 = m*b, 0 = b - d - d + 51. Let g = b - -76. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 633990 divided by -211330\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4*(-2*(sqrt(72) + -2) + sqrt(72) + sqrt(72) + (sqrt(72) - (2 + -2*sqrt(72)))))**2 + 2.\nAnswer: 1152*sqrt(2) + 10430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of i**4\/12 - i**3\/2 + 2*i**2. Let g be f(4). Suppose 297 = 48*q - 21*q. Solve -g*z + 10 = -4*d - q, z + 11 = -3*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -989 + 991. Solve -3*c - 4*n - 24 = -5, -j*c = -3*n - 10 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 92531663?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2344 + -2226. Calculate the remainder when 4953 is divided by f.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3 = y, 0 = -3*v + y + y. Suppose -4*o - 7 = -o + v*n, o - 7 = 4*n. Suppose 3*b = -b. Sort -4, b, o in descending order.\nAnswer: b, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 531 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 7*a - 4. Let q be r(8). Find the third derivative of -n**2 + q*n**4 - 5*n**4 + 6*n**4 wrt n.\nAnswer: 120*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388 is divided by 377?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 - (-84 + 175 + 3)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 761, -1, -5 in descending order.\nAnswer: 761, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 52 and 5668?\nAnswer: 5668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**4\/3 - 781*k**3\/3 - 94799*k**2\/3 - 94019*k\/3 = 0.\nAnswer: -631, -149, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 108 and 10872.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0.332, 0.4, -0.01 in decreasing order.\nAnswer: 0.4, 0.332, 0.1, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*u = -1680 + 276. Calculate the highest common factor of u and 111.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 5*n - 2. Let k be o(2). Let z be 12\/(-2)*14\/(-3). Let x = -82\/3 + z. Sort x, k, -4 in descending order.\nAnswer: k, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/((-455)\/(-315)) - -24?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f - 4. Suppose -5*k + 23 = -p, -2*p - 5 = -2*k - 3*p. Let b(w) = w**3 - 4*w**2 - w. Let g be b(k). Let q be u(g). Solve -q*m + 0*m - 8 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3296814 to the nearest one thousand.\nAnswer: 3297000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 204 and 6555965748.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*d = -6095 - 2193. Let x = 301 - d. Calculate the greatest common divisor of 135 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 53691*a + 35. What is z(0)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18.8 - 18.6. Which is the biggest value? (a) 10 (b) l (c) 2\/743\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 18 = y, -2*j + 108 = -5*y - 5*j. Is 7 a factor of 16\/(((-9)\/y)\/3*2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q + q + 5 - q - 6*q. Suppose 2*s - m + 15 = 0, 18 = 3*s - 5*s + 2*m. Let y(c) = 3 + 4*c - 6 + 1. Calculate s*j(d) - 14*y(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 333 - 326. Which is greater: -0.08 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 - -551. What are the prime factors of b?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-9))**(-7\/6)\/(j**(2\/13)\/((((j*j*j**(2\/7)*j*j)\/j)\/j*j)\/j*j)) assuming j is positive.\nAnswer: j**(2481\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*c**2 + 1204*c - 11264.\nAnswer: -28*c + 1204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + 21*q + 79. Determine p(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -303 + 10580?\nAnswer: 10276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1216.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t - 26 - 13 + 39.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*-6.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -41*t**2*x**3 - 1918084*t**2*x + 4*t**2 - 15945234 wrt x?\nAnswer: -123*t**2*x**2 - 1918084*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 11:02 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2282516 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(28)\/sqrt(4)*3.\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -46693 times -0.2\nAnswer: 9338.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -y + 2, -3*a - 3*y = -39. Suppose a = 3*u - 3*x, 2 + 3 = -5*x. Let c be ((-1)\/u)\/(1\/(-3)). Let w(o) = 7*o - 1. What is w(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -120*a**2 + 241*a + 117. Calculate h(2).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-17 - -2) - 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24401361, 48802721, 73204081?\nAnswer: 97605441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10740 - 10725. What is the smallest common multiple of d and 96?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 6*t**2 - 7*t + 2. Let r = -29 + 36. Let k be q(r). Differentiate 4 - 2*b**2 - 6*b**2 - 2*b**2 + 3*b**k wrt b.\nAnswer: -14*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4037160, 8074316, 12111472, 16148628, 20185784, 24222940?\n\"Answer: 4037156*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.16 + 11.16. Let m = l - 7. Let a = -4.4 + m. Put a, -2\/13, -1 in increasing order.\nAnswer: -1, a, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -384661*m + 536610 wrt m.\nAnswer: -384661","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 439*d**3 - 43974*d**2 + 22*d + 3156730 wrt d.\nAnswer: 2634*d - 87948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.774 + 1.774. Let g = -26.9 - -41.6. Let o = g + -14. What is the third biggest value in 0.1, o, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15857\/10 - 1583. Let w = 2\/17493 - 215749\/17493. Calculate the common denominator of w and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-8)*g*g)\/(g*g*g\/g**(3\/4)*g*g)*(g\/g**(-2))**(4\/19))**(-30) assuming g is positive.\nAnswer: g**(10965\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1846484507 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + -28. Let t = i + 44.3. Let r = t + -3.3000086. What is r rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m - 7. Let l be q(-5). Let n(a) = -a + 3. Let i be n(-1). Solve 4*t = -i + l for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r + 4*r - 6*r)*(2*r + r + 0*r)*(1589*r - 2856*r + 1484*r) to the form x*r + s + b*r**2 + w*r**3 and give w.\nAnswer: -651","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = 151 - 156 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4912 = -5*a. Factor -a*d**2 + 22*d - 617*d**2 + 1229*d**2 - 56.\nAnswer: -2*(d - 7)*(d - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.7 - 3. Let v = -1.24 + -1.82. Let m = 0.06 + v. What is the second biggest value in m, -0.1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358611 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1122075 divided by -7.\nAnswer: -1122075\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31.88 + -21.88. Let g(z) = 2*z - 21. Let u be g(7). What is the second biggest value in m, -4, u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 18 - 24 = 0. Let s(w) = w. Determine s(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 3*p**4 + 3262*p**3 - 6527*p**2\/3 + 1088*p\/3 = 0.\nAnswer: -1088, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -467*u + 131*u + 9093168. List the prime factors of u.\nAnswer: 3, 31, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22046 and 4234.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24920912*y - 378 + 24920915*y + 378.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b5 (base 16) to base 4.\nAnswer: -2311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14553 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 8*y + 2. Let g be m(8). Suppose 4*f - 24 = g*f. What is the remainder when f is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 - 2. Let u(i) = -6*i + 10. Let f be u(-9). Let n = f - c. Is 18 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*y + 23*y - 2 - 17*y to p*y + h and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 534, 2104, 4736, 8472, 13354, 19424, 26724?\nAnswer: 35296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*s - 3*s + 20. Let v(b) = -6*b. Let o(a) = a. What is s*o(h) - v(h)?\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22164381 and 25?\nAnswer: 554109525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w + 15. Give f(19).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2.5 (b) 2 (c) 0.3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*z**2 - 56*z**2 + 20*z**2.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1231281?\nAnswer: 3, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 2 - 5 = 3*t, 0 = -2*t - 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 115\/43972?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 72645161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5281069?\nAnswer: 19, 14629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-4 - (-17 + 13 - 6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three sixteenths of a week?\nAnswer: 1890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1635356 times 0.2?\nAnswer: -327071.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5607 + 5609. Factor 0*w + 0 + 0*w**z - 4\/3*w**3.\nAnswer: -4*w**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 48*c*o**2*p**2 - c*o**2 + 2*c*o*p**2 + 101*c*o*p*q + 96*c*p**2*q + o**2*q + 74*o*p**2 wrt q.\nAnswer: 101*c*o*p + 96*c*p**2 + o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**4 - 8*a**3 + 3*a**4 + a + 0*a + (16*a**2 + 21*a**2 + 11*a**2)*(a**2 + 0*a**2 - 3*a**2).\nAnswer: -95*a**4 - 8*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((40\/(-7))\/10)\/(((-3000)\/70)\/6).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2032.08 + -2032. Put l, 2\/5, 3, -4, 1\/2 in increasing order.\nAnswer: -4, l, 2\/5, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/3*(-66)\/(-88). Which is the closest to q? (a) 0 (b) -4 (c) 4 (d) -7\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-74)\/(-7) + ((-224902)\/973 - -229)\nAnswer: 66\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2060456 (base 8) to base 12\nAnswer: 22597a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((-2*sqrt(88) - sqrt(88)) + sqrt(88))*-6 - -2*(sqrt(88) - -2*sqrt(88)))\/(sqrt(392)*-3*-3*-2).\nAnswer: 2*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2*s. Suppose s = j - 3 - 0. Differentiate 5*v**3 - 2*v**3 - j + 4 with respect to v.\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 - -5 - (29 - (80 - 39))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 2*r**2 - 4. Let z(w) = -2*w**3 + 2*w**2 + 2*w - 47. What is -4*p(q) - z(q)?\nAnswer: -2*q**3 + 6*q**2 - 2*q + 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 17488.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = v, 2*v + 0*v + z = 15. Let n(m) be the second derivative of 0*m**v + 0 + m + 0*m**3 + 0*m**4 + 1\/2*m**2 + 1\/15*m**6. Differentiate n(f) wrt f.\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 12*j - 27. Let m(p) = 10*p - 97. Let t be m(7). Let b(k) = 7*k - 9. Let q(c) = 4*c - 5. Let d(v) = 3*b(v) - 5*q(v). What is t*d(o) + 2*i(o)?\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/31 or 22544?\nAnswer: 22544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 72749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 248824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18183263 and 103904360.\nAnswer: 727330520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 + 36 = 5*m. Let p be ((-18)\/m)\/(2\/(-5)). Let d(g) = 17*g**2 - 4. Is d(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of 1\/3*l**3 + 0 + 2\/15*l**5 + 1\/3*l**4 + 0*l + 9*l**2. Factor m(n).\nAnswer: 2*(2*n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.12 - -0.42. Let i = z + -3.3. Let r = 0 + i. What is the nearest to 4\/7 in r, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of h**8\/10080 - h**5\/6 + h**3\/2 - 3*h**2. Let w(d) be the third derivative of s(d). Let t(u) = -19*u. Determine w(t(k)).\nAnswer: 722*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -52230 + 1568?\nAnswer: -50551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) -1\/14 (c) 1 (d) 4 (e) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - o - 31. Let m be i(8). What is the highest common factor of m and 225?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2*p**3 - 2)*(533*p + 1024 - 1024)*(2 - 3 - 1)*(-4 + 5 - 2) as v*p**2 + y*p + d + s*p**4 + l*p**3 and give s.\nAnswer: 2132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*j - 59*j = 2*j - 357700. What is the hundreds digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 3 = 3*c, -2*i + 1003 = 3*c. Is 5\/(-10) - i\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o**2 - 8*o**2 + 13*o**2 + 13*o - 55*o to u*o**2 + q*o + d and give q.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1018 a factor of 82767709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 0 + 0)*(-244 + 31 + 221 - 155*n**2).\nAnswer: -310*n**3 + 16*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 644 - 646. Which is the smallest value? (a) 19 (b) z (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/444054 and -31\/143.\nAnswer: 4884594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5, 3, -2, 137, 4 in increasing order.\nAnswer: -5, -2, 3, 4, 6, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5*y = -19, -5*f + 0*y = 3*y - 11. Let q = 1 + 5. Let i be 28\/q + (-6)\/9. What is the greatest common factor of i and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(432) - sqrt(432))*6)\/(sqrt(54)\/sqrt(6)*-6) - ((sqrt(432) + -1 + 4)**2 + (sqrt(432) + 1 + sqrt(432) + sqrt(432))**2 + 5).\nAnswer: -4335 - 128*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 20 = 4*z, -4*z - h - 2 = -18. Suppose f - 9 = -z*x, 2*f + 5 = 7*f - 5*x. Which is bigger: f or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46350492.\nAnswer: 2, 3, 37, 104393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -408 = 8*f - 400 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 + 34. Suppose t*f = -4*p, 5*p = 5 - 20. List the prime factors of f\/(-6) - (-2716)\/42.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0) + (3 - (-6 - -6))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1973087775 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of 16*m**3\/3 - 8*m**2 + 29*m - 100. Is k(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t**3 - 37*t**2 + 371*t - 1127 = 0. What is t?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (5\/9)\/(300\/(-2700))*-3\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + 1. Let g be o(-2). Let q be -2 + (-1)\/((-3)\/9). Which is bigger: g or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -6. Let f = z - -4. Let k be (-1)\/(1\/2*f). Solve 0 = 2*i - 2 - k for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(15\/(-9))*11. Let x = 8 - 6. Suppose 5*o + 4*y = 137, -x*y - w = -0*o - o. Is 29 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -11 + (9 - 1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-36)\/25)*((-564)\/(-235))\/(-4)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 6*y**2 + 7*y - 1. Let h be b(-7). Let i = 1 + h. Are i and 0 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 814 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + b - 144 = 5*b, 4*b = -4*g + 108. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/8 + -2*1. Let r = 168671 - 168671. Which is the closest to r? (a) u (b) 1\/5 (c) -5 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4 - -0.33. Let j = -0.06 - k. Let c = -0.0100072 + j. What is c rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 507 + -464. What is the highest common divisor of 2107 and q?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23016 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 41307323 a multiple of 2122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -140253.\nAnswer: 701265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 57 - 19?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 363*n**3 - 1419*n**2 - 1872*n - 540.\nAnswer: 3*(n - 5)*(11*n + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8842?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w + 4. Suppose -2*t = n - 2*n + 83, 0 = -5*n + 4*t + 409. Suppose 5*u = 51 - n. Calculate y(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zbz when three letters picked without replacement from bzbbbszbzsszzsbb.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of n**4\/2 + 20*n**3\/3 + 175. Factor o(g).\nAnswer: 2*g**2*(g + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**35)\/(w*w**(4\/25)) assuming w is positive.\nAnswer: w**(-854\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6004764 divided by 2001588?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1333431 + -3?\nAnswer: 133342a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 5741 divide 442372933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, z: 1, h: 2, c: 2, q: 1}. Give prob of sequence qhh.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - s = 28. Let n(t) = -2*t + 12. Let b be n(11). Let p be (-8)\/b*78\/8. Is s at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 829*m**2 + 1080*m**5 + 48823*m**4 - 48823*m**4 + 1274*m**2 wrt m?\nAnswer: 64800*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from 1133.1.\nAnswer: 1132.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1054 > 1793?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 44 or 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 412510?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -93, -51, -3, -5 in decreasing order.\nAnswer: -3, -4, -5, -51, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 212*p + 119*p + 1.\nAnswer: 331*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4*t**3 - 100*t**2 + 4*t - 95. Let a be w(25). Let x = 115\/3 + -343\/9. What is the closest to x in 0.5, -38, a, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3568 and 256?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 260\/(-8)*((-1)\/(-65))\/((-2)\/10).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6090)\/2871*22\/(-30)?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/((6 - 2) + -3). Suppose o = -4*p - a - 20, 0*p + 4*a = -2*p + 4. Let y be (5\/2)\/(p\/(-6)). Put -0.1, 3, y in descending order.\nAnswer: 3, y, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 7:03 PM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 4 (c) -38 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 810345709 is divided by 597?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m. Let l = -1354 + 1353. Let v(p) = 2*p + 1. What is l*v(i) - h(i)?\nAnswer: -3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -605*d + 608*d. Which is bigger: d or -2\/177?\nAnswer: -2\/177","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.5 + 93. What is z rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 h when three letters picked without replacement from hrhxhhxrhxr?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 313639 and 31.6404.\nAnswer: 313670.6404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/138 + (-18029)\/(-10281)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 103 and 4.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 8*s**2 - 11*s - 3. Calculate f(-8).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -x + 9. Let k be (-1 + 0 + 1)\/x + 2. Let p(h) = -4*h - 9*h**2 - 2*h + k*h + 10*h**2 - 7. What is p(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 - 62. Let v be x\/(-10) + 6\/(-15). Solve 0 = v*q + 7 - 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 947076?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s**3 + 37*s**2 - 10*s - 22. Let w be l(12). Let n(o) = -3*o**w - 23758*o + 23758*o. Let i(p) = 7*p - 1. Calculate n(i(y)).\nAnswer: -147*y**2 + 42*y - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -w - 24, 46 = 184*y - 180*y - w. Suppose -y*n + 13*n = 2*z - 940, -4*z = n - 1885. What are the prime factors of z?\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -347, -1413, -3193, -5687?\nAnswer: -8895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 - 548*j - 37538.\nAnswer: -2*(j + 137)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 185 = -5*a, a - 18 = -2*q + 30. Let l = -338 - -484. Calculate the remainder when l is divided by a.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 10:15 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 4*f - 15, 4*b + 3*f + 3 = -57. Let c be (-25)\/b + 44\/(-12). Let y(q) = 6*q**2 - q - 1. Calculate y(c).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/473 and 93\/344.\nAnswer: 3784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*l - 207 = -162*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*j - 1 - 37*j + 91*j)*(3 + j - j - 3*j)*(-3 + 3 + 2*j**2).\nAnswer: -120*j**4 + 126*j**3 - 6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63 and 1708973.\nAnswer: 15380757","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {e: 4, v: 3, c: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 204570800?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -5*b**3 + 9*b**2 + 229*b + 61. What are the prime factors of r(-16)?\nAnswer: 19181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d**2 - 17*d - 8. Let p be q(-5). Solve 15 = 3*o, -5*i + p*o = 4*o for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5*i + 8 = 0. Let x = i - -9. What is the third derivative of -10 - 16*b**2 - 17*b**4 + x wrt b?\nAnswer: -408*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -15.3 (b) 728 (c) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (1 - -3) - (-2 - (-3 - 0))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 7837, 3, 8 in ascending order.\nAnswer: -1, 3, 4, 8, 7837","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27*j**4 + 2*j**3 - 308*j**2 - 2*j + 1202631.\nAnswer: 108*j**3 + 6*j**2 - 616*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1090 + -64. What are the prime factors of s?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173899 a multiple of 337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.412501138 to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - 2\/(-2)) + 483\/147. Which is the closest to i? (a) -3 (b) 4 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -244*d*l**2 + 200*d*l + 2*d - l wrt l?\nAnswer: -488*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*l - 2*l. Let h be 0 + l\/(-4) + (-45)\/(-20). Solve 5*y - h*y = 15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 266915256?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 times -318.43499?\nAnswer: -3184.3499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 2*g - 1970904. Suppose -g = -14*m + 741116. What is m rounded to the nearest 1000?\nAnswer: 76000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b3 + 5?\nAnswer: b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.8637, -1, 0.4, 2\/29, 5?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 24*p**2 + 2*p + 2. Let c be k(-1). Let h = 32 + c. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 517948612?\nAnswer: 2, 5783, 22391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*5*(2 - 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 35964 divided by -6\nAnswer: -5994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 47 = -295*z + 291*z, -3*z - 19 = r for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -4*s**2 + 768*s = 0.\nAnswer: 0, 192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n**3 - 22*n**2 - 22*n - 32. Let c(m) = -m**3 - 7*m**2 - 7*m - 11. Let a(p) = -11*c(p) + 4*r(p). Let b be a(-10). Let w = 33 + b. Does 18 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -182*i + 59*i - 84*i.\nAnswer: -207*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -3*i + 4*r, 5*r + 57 = -i + 75 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87074, 174156, 261238, 348320?\nAnswer: 435402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3168 - -1260. What is the thousands digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2065544725?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 2 + 99 - (1 + 6 - 9)?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 10137540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmtssmtoottm. What is prob of sequence os?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 12:15 AM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 108, 114, 120, 126, 132?\n\"Answer: 6*b + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 19 = -31. Sort 3, c, 0, -4.\nAnswer: -4, 0, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 222 and 1651236?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 61 + 73 = 0. Let c(j) be the second derivative of 0*j**2 + 3*j + 1\/36*j**3 + 0 + 1\/24*j**r + 1\/40*j**5 + 1\/180*j**6. Find t, given that c(t) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ebqeqebeebxpeexbqc. What is prob of picking 1 e and 1 b?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 16*t - 35. Suppose 0 = -22*l - 2228 + 2536. Determine s(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*a - 27*a - 80 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 374 = 4*w - 0*w, -4*w + 4 = 0. What are the prime factors of s?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -a**6\/360 + a**5\/60 - a**4\/8 + 8*a**3\/3 - 16*a. Let h(s) be the second derivative of t(s). Let f = -2 - -4. Determine h(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79 + 11 = -15*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 621 times -39057.2\nAnswer: -24254521.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30737368 and 992?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 13 = -43. Calculate the common denominator of -71\/2 and (99\/2 - 2)\/g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-166)\/80 + 915\/75 + 7 + -19?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2*l - 0. Let z = 6465 - 6468. Let f be (77\/21 + z)\/((-2)\/l). Let w(p) = 2*p - 4. What is w(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*z - 12, -3*z + 29 = -4*p. Let h be (52\/25 + -2)*p. What is the closest to -2\/7 in h, 3\/2, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -585, -887, -975, -849, -509, 45, 813?\n\"Answer: 107*b**2 - 623*b - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 12 = -16 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 73 + -98. Let v = 25.0000064 + g. What is v rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**4 - 1373*c**3 - 4 + 37*c**2 + 2*c + 9 + 1374*c**3 - 6 in the form i + g*c**4 + w*c + u*c**3 + a*c**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74191129 and 1358.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -29*z**3 + 7*z**2 + 15*z + 18. Let j(m) = 23*m**3 - 6*m**2 - 12*m - 18. Let i(c) = -5*j(c) - 4*l(c). Calculate i(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**2 + 108*i + 1152. Let l be (5 - 77\/14)\/(2\/(-20)). Let u(y) = 3*y**2 - 111*y - 1152. Let n(s) = l*g(s) + 4*u(s). Factor n(b).\nAnswer: 2*(b + 24)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 4\/3 (b) 0.12 (c) 4\/5 (d) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 16*v**2 - 3368*v - 40940. Determine k(-12).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 5432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1247681, -1247683, -1247687, -1247693, -1247701, -1247711, -1247723?\n\"Answer: -h**2 + h - 1247681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 7*a**2 + 14*a + 6. Let u(r) = 12*r**2 + 27*r + 13. Let m(j) = 3*u(j) - 5*y(j). Calculate m(-12).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -6*c + c. What is the remainder when 83 is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 870 - -42a?\nAnswer: 109a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/77292 and -127\/16272?\nAnswer: 309168","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/36)\/(6\/(-9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (41\/287)\/(2\/(-6)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5*r - 3 - 14 = 0, 1 = -r. Calculate the remainder when 810 is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156973958.\nAnswer: 2, 2269, 34591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -5*f + 4*t - 327, -4*t + 12 = 0. Let k be (-1122)\/(-14) + 15\/f. Suppose -18*y - k = -22*y. Is y a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2808 - 1175 + 217 - 1473 - 1791)*(-t - t + 3*t).\nAnswer: -7030*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 x when three letters picked without replacement from {h: 1, l: 1, x: 5, m: 3, s: 1}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -266 + 261. Does y = -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421939 divided by 7?\nAnswer: 60277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 84344 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -787115640 divided by 46300920?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4072 is divided by 64?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -202, 1108, 5056, 12962, 26146, 45928?\nAnswer: 73628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c + 3. Let j be g(-1). What is the highest common divisor of 2 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 400 + -1599\/4. Let n = -1 - -3. Which is the closest to -1\/4? (a) p (b) n (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 414781 is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1202114 times -1?\nAnswer: 1202114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 452 is divided by 116?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 3*s - 3449 = -3466, 2*s = -2*k - 18 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5037786779 to the power of 1\/4, to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -j**8\/8 - 5*j**4\/12 - 2*j. What is the third derivative of t(m) wrt m?\nAnswer: -840*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 771.52 + -17.52. Let a = l + -754.002266. Round a to four decimal places.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 466*n**2 + 816*n**2 + 0 - 65*n + 65*n - 458*n**2 + 1.\nAnswer: 824*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/14790 and 20 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7\/10*s**5 + 9\/10*s**2 + 0 + 1\/2*s**3 + 1\/5*s - 9\/10*s**4 = 0. Calculate s.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2135 + 3414. What are the prime factors of x?\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 15 = -5*g - 14, 5*n + 25 = -g. Let m be 2\/n*(-8)\/(-20). What is the second biggest value in 0.4, m, -1\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -493, -160, 3.\nAnswer: -493, -160, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 788819?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + 14*p - 7. Let f be c(7). What is the greatest common factor of f and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) - (sqrt(143)*-3 + sqrt(143)))*-6 + -1*sqrt(143)*-1)\/(sqrt(88)\/(sqrt(8) + sqrt(8) + (sqrt(120)\/sqrt(3))\/sqrt(5))*-6).\nAnswer: 17*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -105 - -178. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1*1\/3)\/(18\/(-9)). Let h(o) be the second derivative of -r*o**3 - 9\/2*o**2 - o + 0. What is h(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5\/4, 7\/12 in increasing order.\nAnswer: -4, -5\/4, 7\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + 3)*7 - -1. Let l = -12 + i. Let q = l - -2. Which is smaller: -4\/3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (2 + (4 - 5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 1 = -t, -63*k + 65*k + 1 = 3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -157.9824 to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30 + -10?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (70\/(-6))\/((-11)\/(-33)). Let o = m + 49. Calculate the remainder when 68 is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + z**3 + 2 + (z - z - z**2)*(-4*z + 2*z + z))*(-1628*z - 795*z + 245*z).\nAnswer: -4356*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 18*t - 1. Let v be d(0). Sort v, -5, 4, -34 in increasing order.\nAnswer: -34, -5, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 79.31.\nAnswer: 7.931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -706470, -706461, -706446, -706425, -706398, -706365?\n\"Answer: 3*b**2 - 706473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 0) + (0 - -1). Suppose 4*q = -u + 47, -2*q - 3*u + s*u + 31 = 0. Suppose -g + 2*d = -35, 0 = g + 3*d + 1 - q. Is 11 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2449, 2448, 2447, 2446, 2445, 2444?\n\"Answer: -o + 2450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, e: 4, m: 3}. Give prob of picking 2 m.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 5 = 3*x, 0 = 5*o + 3*x + 6 - 5. Put o, 4, 156 in increasing order.\nAnswer: o, 4, 156","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 707348376?\nAnswer: 2, 3, 7, 17, 9173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(288) - (sqrt(288) - ((sqrt(288) + -2)*-2)**2)) + -4) - ((0 + sqrt(2) + sqrt(18) + sqrt(2))*-6 - (sqrt(2)*1*-4 - (-1 + -1 + sqrt(2))))**2.\nAnswer: -676*sqrt(2) + 2238","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 4*k**2 + 6*k + 1. Let c be t(5). Suppose 6*f = f. Suppose f = c*z - 9*z + 111. What are the prime factors of z?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68274 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 816 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/12 + 10\/6 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -177*r - 2921. Give g(-13).\nAnswer: -620","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 115 and 1817.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1018, 1878, 3312, 5320?\n\"Answer: 287*n**2 - n + 732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1484?\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1131 - -5154?\nAnswer: 4023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20183\/80764 + 2\/20191. Suppose 13 = l + 2*q, -3*l - 2*q - 1 = -20. Suppose l*w + 1 - 7 = 0. Put w, -1\/2, -0.2, x in decreasing order.\nAnswer: w, x, -0.2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 4 - (-9 + 13 + -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 2*p + 2*p**2 + 101*p**2 + 12 - 4.\nAnswer: 103*p**2 + 2*p + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/4 (b) -57 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/9, -2\/3, 1.2, -5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.444 + 1.556. Let o = 1.01 - 1. Let y = 0.19 + o. What is the closest to y in k, -3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 37*n = 0. Let o be -3 + (-5)\/3*-3. Put 1, o, -5, n in decreasing order.\nAnswer: o, 1, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 10*l + 483. Let g = 206 - l. Is g a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.7 and 630.36.\nAnswer: 441.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -8*s**4 + 7*s**3 + 61*s**2. Let z(y) = y**4 - y**3. Let g(m) = r(m) + 3*z(m). What is the third derivative of g(q) wrt q?\nAnswer: -120*q + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10\/17, -8, 4, 2, 14.15 in decreasing order.\nAnswer: 14.15, 4, 2, -10\/17, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.862 (b) 7\/2 (c) 0.02 (d) -37\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-6 - -8 - -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 4:06 AM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 354\/(-51) + (-3)\/(-1). Let x = c - 327\/68. What is the common denominator of 29\/18 and x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 31*h + 1. Let r be w(1). What is the greatest common factor of r and 400?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 222473 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -5 - ((-21 - -52) + -31)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 111502 and 736?\nAnswer: 82065472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 159, -1 in increasing order.\nAnswer: -21, -1, 159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 8*y**2 - 7*y - 4. Let p be u(7). What is the units digit of (18\/4)\/((-2)\/p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 2*q - 37 + 7, 3*q = 4*k - 31. Let b = k + 187. What are the prime factors of b?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**3 + 3*f**2 + 10*f - 4. Let m(n) = -n**3 - 2*n**2 - 5*n + 2. Let y(p) = -6*i(p) - 11*m(p). Solve y(k) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1226.04 and 116.7.\nAnswer: 1342.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1058803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -910.156 and 0.1.\nAnswer: -910.056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/3)\/((-5)\/(-90)). Let j be 10\/(-2)*(o + -35). Suppose -5*p + j = -0*p. What is the highest common factor of 29 and p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 13 (b) 1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-30 - 34 + 82)*(3*z - 2 + 2) in the form s*z + o and give s.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 10*o**3 + 19*o**2 + 20*o - 1. Let y(f) = 7*f**3 + 12*f**2 + 13*f. Let n(r) = 5*v(r) - 7*y(r). What is n(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -0.244, -11 in increasing order.\nAnswer: -11, -4, -0.244, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41253862?\nAnswer: 2, 13, 59, 26893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**6)\/b*b\/(b**(1\/4)\/b)*(b**(-3\/5)\/b*b)\/b**5*((b*(b*b**(-4)*b*b*b)\/b)\/b**6)\/(b\/b**(1\/4)*b)**17 assuming b is positive.\nAnswer: b**(-228\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 260 and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*m - 7*m - 2. Solve -5*z - 6*t + 19 = -m*t, 5*z = -t + 16 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1456882343?\nAnswer: 7, 3821, 54469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-112*d + 249*d + 263*d)*(3 - 5 + 1).\nAnswer: -400*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -740*m**3 - 322*m**2 - 2?\nAnswer: -4440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -182*z**2. Let y(h) = -2*h**2. Determine b(y(c)).\nAnswer: -728*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0037963 rounded to four dps?\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 313326640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 3 - (1 + 1) - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 21, 17, 19, 33, 65, 121, 207, 329?\n\"Answer: r**3 - 3*r**2 - 2*r + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w - 114 = -18. Let m be (21\/(-168))\/((-3)\/w). Let j = -0.3 - -0.2. What is the nearest to m in -1, j, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27995893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 21 = -3*g, 850*r = -3*g + 822*r - 171 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 22 = 2*i, 2*k + 419 - 436 = -3*i for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1448165 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 1:55 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 759 and 4407513?\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(216))\/(sqrt(64)\/sqrt(200)).\nAnswer: 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*k - 155 = -47*k. Suppose k*l = 5*l + 182. Suppose 2*f - 13 = -c, 3 = -2*c - 3*f + 25. Sort l, 1, -2, c.\nAnswer: -2, 1, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*v - 973*v = 355*v - 56628 for v.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4834100 rounded to the nearest one hundred thousand?\nAnswer: -4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -39*u + 6. Let d(f) = -5*f + 1. Let o(q) = 6*d(q) - g(q). Let t(s) = 2 - 2 - 2*s. Determine t(o(b)).\nAnswer: -18*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -82.1 + 81. Let k = 8 - 6. Let w = k + h. What is the biggest value in w, 4, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -834 = 7*f - 13*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (51 + -93 - -23) + -67.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 6*b**2. Let h(y) = 8250*y - 90. Let x(r) = -374*r + 4. Let u(g) = 2*h(g) + 45*x(g). Calculate u(f(d)).\nAnswer: -1980*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 7:00 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 855050 is divided by 4013?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 3*q + 65694, 4*q = 3*i - 0*i - 65692. What is i rounded to the nearest one thousand?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1261 = -1261?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g. Let b(u) = -u. Let j(y) = 36*y. Let d = -10 - -55. Let f(x) = d*b(x) + j(x). Determine f(l(c)).\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1211397, 3 in descending order.\nAnswer: 1211397, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*k - 2*k. Let h(r) = -3*r**2 - 2 + 4*r**k - 2*r + 0. Let f be h(3). Sort f, 2, 4 in ascending order.\nAnswer: f, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uyuyguguuy?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 k when four letters picked without replacement from kqkqkq.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, 139, 206, 273, 340, 407?\nAnswer: 474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13908 is divided by 398?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(28))**2 + -1 + 0.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -3*u**4 + 531*u**3 - 23754*u**2 + 22176*u + 46464 = 0.\nAnswer: -1, 2, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, n: 2, w: 4, b: 1}. What is prob of picking 1 n, 1 a, 1 b, and 1 w?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.125 - 156.875. Let x = s - -157.0069. Let o = x + -0.00690231. What is o rounded to 7 dps?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 950753 is divided by 237688.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 6:36 AM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 48\/15 + 1\/(-5). What is the derivative of j + 24*b**4 - 11*b**4 - 20 wrt b?\nAnswer: 52*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*x + 342 = 90 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - 0.0652496935\nAnswer: 0.4347503065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8296, 8011, 7540, 6883, 6040, 5011?\n\"Answer: -93*l**2 - 6*l + 8395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 4 (c) -3\/4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 237899270 divided by 3398561.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1034 a factor of 61700848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16943, -135021, -455487, -1079525, -2108319, -3643053, -5784911, -8635077?\nAnswer: -12294735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 smaller than 29.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 8 = 0, 0 = -4*r + 3*n - n + 8. Let h(w) be the first derivative of -5 + w**2 + 1\/3*w**r + 0*w. Find the second derivative of h(m) wrt m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3*k + 166 + 1060 = 0, 3*o = 2*k + 911. Let m(y) = -o*y + 306*y + 1 - 1. Let i(b) = 32*b**2. Determine m(i(p)).\nAnswer: 32*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x = 4012 + 1305. Let t = -264 + x. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 4*m + 17. Let z be n(-6). Suppose -x = z*l - 1559999, 7 = -5*l + 2. Let j be 34\/(-85) - x\/(-10). Round j to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 170083436?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 90854990?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25200 + -6089. List the prime factors of c.\nAnswer: 29, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -258*s**3 - 8*s**2 - 20*s - 5. What is the units digit of o(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, t: 8, q: 5}. What is prob of sequence ttc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 - (-3 - -3) - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30460266 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: Calculate the remainder when 18365973 is divided by 272.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 41405*y - 96498 wrt y?\nAnswer: 41405","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1515 divide 461100325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*z + 5*z. Let h(w) be the second derivative of -w**4\/12 + 7*w**3\/6 - w**2\/2 - w. What is the units digit of h(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53 + -48. Find the second derivative of t*u**2 + 5*u - 7*u - 6*u wrt u.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5324, -10640, -15954, -21266, -26576, -31884, -37190?\nAnswer: -42494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -19264, -19226, -19178, -19132, -19100, -19094, -19126?\n\"Answer: -2*q**3 + 17*q**2 + q - 19280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -81 + 86. Suppose -29 + 24 = d*t. Which is the nearest to 8? (a) t (b) -5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 694334 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 2 - 8. What is the lowest common multiple of (20\/6)\/(1\/6) and ((-42)\/8)\/(h\/16)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 18*i + 26. Let n be u(-17). Suppose -f - 2 = -3*p - 66, -2*p = f + 51. Let l = n - p. Does 6 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -5*d**3 + 180*d**2 - 130*d - 25. Let o(x) = 3*x**2 - 2. Let n(c) = -10*o(c) + v(c). What is the second derivative of n(y) wrt y?\nAnswer: -30*y + 300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170788392?\nAnswer: 2, 3, 17, 46511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.241 - 0.25. Let p = -23.991 + s. Let w = p + 28. Which is smaller: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -25. Let g(o) = -o - 6. Let j be g(-6). Suppose j*f = 5*c + f - 108, -c + p = -3*f. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -3*z - 26, -5*k = -3*k + 4*z - 2 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 + -29. Let t = -1.4 + -0.6. Let j = -1.9 - t. What is the nearest to k in -4, j, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -330 + 647. Let j = -2533\/8 + n. Which is smaller: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(65) + 4*-1*sqrt(65) - sqrt(65))*-2)\/((sqrt(10)*2*4)\/sqrt(2)) + 4.\nAnswer: 2 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30515283?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**2 - 377*i. Let b(h) = 2*h. Give b(p(y)).\nAnswer: -4*y**2 - 754*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 0*q + 20 = 0, -2*p + 4*q = 16 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (0 + 12 + (-44 - (19 + -59)))) + -51\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 2:33 PM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 443202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.11402 and 222?\nAnswer: -913.31244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4*((88\/(-288))\/(-11))\/(2\/(-4))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -v + 5*v - 4, 0 = v + 4*r - 21. Solve 0 = v*p - 3*p - 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**2 - 4*d**2 + 4*d**2 - 307606*d + 307606*d.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -2. Let i = 277 + -276.9. Which is the second smallest value? (a) -5 (b) -3 (c) q (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(16\/20 + 39\/(-30)). Let i be b*(42\/(-16))\/(-7). Solve n = 5*t - 29 + 8, i*t - 8 = -4*n for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 383308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1266997483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by 1362967?\nAnswer: 22\/1362967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -82 + 6882?\nAnswer: 6800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 5*o. Let d(u) = -2546*u. Give d(b(y)).\nAnswer: -12730*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 11*c**2 + 5*c. Let p(q) = 5*q**2 + 2*q. Let n(k) = 2*o(k) - 5*p(k). Let h(b) = -10*b. Give n(h(y)).\nAnswer: -300*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/12)\/((-4)\/(-5340)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3 (b) -6 (c) 1\/8 (d) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/20, -7\/6, -1, -1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 340813 is divided by 12888.\nAnswer: 5725","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 229857 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: In base 4, what is -1 - 3230?\nAnswer: -3231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10149\/18 - 1) + 2. Suppose 5*h = -4192 + 1302. Let w = a + h. Calculate the common denominator of w and 133\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 12. Let w(s) = -25*s + 21. Let d be w(4). Let a = 93 + d. What is the remainder when a is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z = -0*z - 57 + 13. Sort 126, z, 5, 4 in decreasing order.\nAnswer: 126, 5, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -156, -655, -1488, -2655, -4156, -5991, -8160?\nAnswer: -10663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0020871 to 5 decimal places.\nAnswer: -0.00209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13364 is divided by 4431?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(700) + sqrt(700) + -4 + 4.\nAnswer: 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.0707607 + -9.0809. Round i to 4 dps.\nAnswer: -0.0101","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65.800141 + -65.8. Round j to six dps.\nAnswer: 0.000141","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 31663122+-0.0114\nAnswer: 31663121.9886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 538987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 6*q - 5. Let a be d(-6). Let o be (-517)\/(-55) - (-2)\/a. Suppose -o*p + 4*p + 35 = 0. Solve -p*t - 4*f = -3*t + 16, 20 = -4*f for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5097 is divided by 838?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3361053*m**2*p**2*z - 22*m*p**2*z + 13*m*p**2 + 2*m*z + 5*m - p**2*z wrt m?\nAnswer: -6722106*p**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 886.\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert c2066 (base 14) to base 12.\nAnswer: 1a600a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 1. Let h(b) = b**2 - 13. Let t = -4697 + 4694. Determine t*n(m) - h(m).\nAnswer: -m**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -8 + (-49 - (-17 + -1 + 224 + -206))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**3 + 6*n**2 + 20*n + 19. Let w(h) = 4*h**3 + 14*h**2 + 39*h + 38. Calculate -7*f(x) + 3*w(x).\nAnswer: -2*x**3 - 23*x - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l**2 + 3*l - 2. Suppose -3*b = -b + 76. Let j = b + 35. Does 19 divide d(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71615162 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (11 - 9) + (-5)\/((-10)\/8). What is the third derivative of -3*i**2 - 7385*i**4 + i**f + 7412*i**4 - 3*i**2 wrt i?\nAnswer: 120*i**3 + 648*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*s**5 + 235*s**4 + 455*s**3 + 405*s**2 + 160*s + 20.\nAnswer: 5*(s + 1)**3*(s + 2)*(9*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 6:00 AM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 596*z + 585*z - 2712*z + 585*z + 609*z + 598*z.\nAnswer: 261*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0631783 and 322.\nAnswer: 20.3434126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4, -6, 2, 26, 72, 146?\n\"Answer: x**3 - x**2 - 6*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by -10\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*j**2 + 4*j**2 - 13*j**2)*(13*j - 163 + 163).\nAnswer: 104*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/9320 and -57\/80?\nAnswer: 18640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9614755?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.9 from -501.\nAnswer: -499.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -23 and -9200?\nAnswer: 211600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, -2.415, 2, -0.038?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -40774 (base 12) to base 9\nAnswer: -137247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 819768347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162)*2 + -3 + -4 - ((-3*sqrt(162)*1 - sqrt(162)) + sqrt(162) + 1 + 5)**2) + -3)*4.\nAnswer: -6016 + 1368*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 1062 = 4*f, 0 = -g - 4*f + 2*f + 218. Suppose -7*w = -6*w - g. What are the prime factors of w?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/3, -0.07, 1\/6143, -0.3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 706742507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of 2*m**3\/3 + 12. Let w(j) = 8*j**2. What is r(w(i))?\nAnswer: 128*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from xpxpxxpxxxpxxxxppx.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -277600293*a**3 + 2*a**2 + 254990152*a?\nAnswer: -1665601758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pmmupmmppmpmum. Give prob of sequence mmp.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*1*(-12)\/(-48)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*f + 17 - 35*f - 17.\nAnswer: -86*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -44*n + 0*n**2 + 3 - n**2 - n**2 - 21*n + 59. Calculate the remainder when 243 is divided by x(-33).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**5)\/(i*i**2) assuming i is positive.\nAnswer: i**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 10:11 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5*t - 13 = 25, 0 = -4*v - t + 247. Suppose 0 = -0*f - 3*f + v. What is the remainder when 61 is divided by f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 7387?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 7*b**2 - 7*b + 3. Let f = 3 - 1. Let r(n) = 3 - 3 - 6*n**f - 1 - 1 + 6*n. Calculate -5*r(l) - 4*t(l).\nAnswer: 2*l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.6 - 0.8. What is the closest to -2\/9 in -0.5, -4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -18228 + -2?\nAnswer: -18230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 27*p - 8. Let t = 12 - 7. Is z(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*f + 17 - 3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7556*d + 1090*d - 6946*d - 9962*d to the form r*d + v and give r.\nAnswer: -23374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -45, -1\/4, -69?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k + 39. Calculate f(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 31, -0.1, -2\/679, 1\/3 in descending order.\nAnswer: 31, 4, 1\/3, -2\/679, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((l\/(l**(-2\/9)*l))\/l)\/l*l)\/l*l)\/l)\/(l**7*l)*(l**1\/l)\/l**(2\/3)*(l*l**(-3)*l**1\/l*l)\/((l*l**0)\/l*l)**(14\/9) assuming l is positive.\nAnswer: l**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2766 divided by 6?\nAnswer: -461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -3*c**3\/7 + 4161327*c**2\/7 + 224718219*c\/7 + 3033725481\/7 = 0.\nAnswer: -27, 1387163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - 36\/2 - 0. Let n = -28 - p. Is (-3)\/((-9)\/n - 1) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u - 2226 = -40433. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + y**2 - 8. Let s = -4 - -4. Let l be c(s). Let x = l - -38. Is 13 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1109?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0321388 rounded to three dps?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -y + v - 3, -4*y - 3*v = -26. Let h be ((-32)\/5)\/((-10)\/(-225)*-3). Suppose -y*t = -h + 38. Solve s + 5 = t*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f + 3*f - 5*f + (-1 + 1 + 2)*(-3*f + 0*f + f) + 3*f + f - 5*f + (-10*f - 4 + 4)*(132 - 199 + 93)*(-6 + 3 + 1) to h*f + m and give h.\nAnswer: 517","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (5 - 3 - (1 + 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1798400?\nAnswer: 2, 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 147 and 189.\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.14, 0, 1\/3 in descending order.\nAnswer: 1\/3, 0.14, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xnn when three letters picked without replacement from xnnx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 + 260?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1270278581 to the power of 1\/2, to the nearest integer?\nAnswer: 35641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -235 - -351. Let f(o) = -35*o**2 - 5*o - 10 - 31*o**2 + 69*o**2. What is the remainder when q is divided by f(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -124*x**3 + 3*x + 5. Let b(m) = -231*m**3 + 7*m + 11. Give -4*b(i) + 9*d(i).\nAnswer: -192*i**3 - i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -0.3. Let j = 0 + -4. Which is the smallest value? (a) y (b) j (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of 2 + 0*a + 3\/2*a**2. Let w(o) = -o. What is w(y(l))?\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -4*r**2. Let p(m) be the third derivative of 589*m**5\/60 + m**3\/3 - 5010*m**2. Give p(d(o)).\nAnswer: 9424*o**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 961348 by -3.\nAnswer: -961348\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -536315716 divided by -2?\nAnswer: 268157858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66494 - 66494 + i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/5)\/((-2)\/(-52)). Suppose 0 = -2*s + 3*b + 2*b + 38, -2*s + 2*b = -m. Suppose 0 = 7*p - 6*p - s. Does 9 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -3, -5, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -157*o - 9. Let l be w(7). Let g = l - -1875. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86191887.\nAnswer: 3, 17, 173, 9769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*b - 9 = -c, 3*c = b + 14. Let l be (-2)\/(-6) - (-375)\/9. Suppose 119 = -l*n + 49*n. Solve 4*v = 5*j - n, -b = -2*v + v - 4*j for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -24*a + 11*a. Suppose -2*l = 2*l - 2*b - 288, -5*b = -10. What is the tens digit of a\/2 + l\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8190 and 11700.\nAnswer: 81900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3914 divided by -15549?\nAnswer: -3914\/15549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 62, 173, 390, 749, 1286, 2037?\nAnswer: 3038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.24*0.01.\nAnswer: -0.0124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 5*z + 4. Let r be v(-9). Let l be 23\/15 + (-8)\/r. Factor -8\/3*s + 8*s**3 - l*s**2 + 2\/3 + 6*s**4.\nAnswer: 2*(s + 1)**2*(3*s - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-16))\/(1\/((-4)\/6)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 13*z**2 + 15*z - 74. What is h(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oaaa when four letters picked without replacement from {a: 4, m: 4, r: 2, o: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2b0c155 + -9?\nAnswer: -2b0c161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 34 + 3*q - 43 - 19 + 13.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16)\/(-4) + 13 + 4. Calculate the greatest common divisor of o and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11)\/((-33)\/(-36))*(-8)\/6. Suppose -3*o = -b + 8, 2*o + s = -o - b. Let k = -197 - -187. Which is smaller: k or o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 108 + -103 - (28 + -1).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 53*q**2 + 10*q + 3. What is the tens digit of n(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-546)\/(-156))\/((-4)\/(-8))*(-14)\/343.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-835)\/(-7) + 0 + 6\/(-21).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -4, 3, 9068?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**4 - 944*p**3 + 286*p**2 + 3710216*p + 7411704 = 0. What is p?\nAnswer: -58, -2, 69, 463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 232931.1 months?\nAnswer: 19.410925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x = x - 812. Let r = x + 166. Is r a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q - 2. Let o(l) = -l**2 + 16*l - 16. Let h(u) = -24*k(u) + 3*o(u). Let i(n) be the third derivative of 5*n**4\/24 - 6*n**2. What is h(i(b))?\nAnswer: -75*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 122996880 a multiple of 555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (9 - -1) + 0 - (-32 + 34)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23267 a multiple of 185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 395423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -2, 0, 4 in decreasing order.\nAnswer: 18, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m**2*y + 1243*m**2 + 756*m*y + 38*y - 18 with respect to y.\nAnswer: -m**2 + 756*m + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l**2. Let v(y) be the third derivative of 16*y**5\/15 - 1182*y**2. Give d(v(f)).\nAnswer: 16384*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-5200)\/(-728)*(77\/55)\/((-8)\/(-10))\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -2*sqrt(12))*-5 - (5*(sqrt(12) + sqrt(36)\/sqrt(3)))\/(sqrt(400) - -1*sqrt(400)))**2*-5.\nAnswer: -27315\/4 + 2925*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -8. Let b = 362 - 376.4. Let i = o - b. What is the biggest value in i, 0.1, -0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {f: 1, y: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -37566778 and -150267117\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 44569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -158740 divided by 31748\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (80\/6)\/((-8)\/(-10212)). Round n to the nearest one thousand.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of x**5\/20 - x**4\/4 - x**3\/2 + 46*x. What is the smallest common multiple of 8 and h(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 4*u = -0*t - 76, 68 = 4*t + 4*u. Let s be ((-36)\/16)\/((-5)\/(-80)). Let k = -18 - s. What is the lowest common multiple of t and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5*u = 97189 + 32719, 0 = -4*k - 4*u + 173168. Does 33 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -12, -3, 84.\nAnswer: -12, -3, -1, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*f - 609 = 144*f for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c*c\/c**(-2\/7)*c)\/c))**(-5\/8)\/(c**(2\/3)\/c)**15*(((c*c*c**(-1))\/c*c)**(-19))**(-1) assuming c is positive.\nAnswer: c**(1389\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cbccbb. Give prob of picking 1 b and 1 c.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 5*l - 65, -3*l + 10 = -2*z - 34. Suppose l*k - 16*k = -134. Suppose 3*x + k = -4*j, 0 = -2*x - 2*x + 3*j - 81. Is x >= -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/(-1))\/(-1))\/((63910\/(-5236))\/(-415))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 + -22. Let v be 68\/(-17)*(-95)\/x. Suppose 8*q + 4*i = 3*q + 437, 0 = -q + 3*i + v. Calculate the remainder when q is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o - 9. Let t be w(12). Suppose 0 = q + 2*q - t*j - 258, 3*q - j - 258 = 0. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-80))\/(1\/(-1)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.45 + 0.05. Let f = -2.659 + 3.059. Let k(q) = q**2 + 5*q - 1. Let w be k(-5). Which is the nearest to w? (a) j (b) 0 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 8*p + 3. Let x be d(-8). Suppose 0 = 3*h - 2*n - n - 9, -5*n - 12 = -2*h. Solve h = -o + x for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 - -25. Let o be 220\/(-425) + k\/(-10). Which is the biggest value? (a) -0.5 (b) 0.3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (8 + -3 - (26 + -27))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 10*v + 247. Suppose -5*d - 2*u + 111 = 2*u, -3*d + 4*u + 73 = 0. Let w = v + d. Solve 0*s - 16 = -w*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -86 + 98. Let g = -175 - -175. What is the nearest to 0 in -2\/9, g, l?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (220 - 205) + -43 + 3.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 2*s - 4, 5*f + 2 - 6 = -2*s. Suppose f = k - 3*l - 8, -3*k + 4*l = -14. Find the third derivative of -2*d**2 + 5*d**3 + d**k + 0*d**2 wrt d.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -799 + 799.06. What is the closest to -0.2 in 1, h, -9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1766, -3530, -5294?\n\"Answer: -1764*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 3 = c - 2*q, 7 = -4*c + q. Let j(a) = -a + 2. Let u be j(c). Suppose 1 = u*m - 7. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 57 - 40. Let u = g - 4. Solve 3*r + u - 2 = 5*s, -1 = -5*s - 2*r for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10111110000 (base 2) in base 5?\nAnswer: 22040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of -19*y**4\/24 - 4*y**3\/3 + 12*y**2. Let f be d(-8). Suppose -6*r = f - 10302. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/4 (b) -3 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 1, -1 in decreasing order.\nAnswer: 3, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153*f - 134*f - 27037 = 0. List the prime factors of f.\nAnswer: 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 23*f**2 - 102*f - 32. What is the tens digit of b(-20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.31 + 0.11. Which is the closest to -2? (a) h (b) 1\/5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 2*h**2 + 2*h + 2. Let b be s(-3). Let q = b - 7. Let n = q + 4. Solve n*p = -w - 7, 3*w - 4*p = 7*w + 12 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -21441*((-63)\/(-48) + -1). Let i = -6705 - z. Let t = -10116 - -80915\/8. Calculate the common denominator of t and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 19 - 20*h - 20*h + 15*h + 16*h. What is c(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**3 + 21*n**2 + 15*n - 31. Let l(q) = q**3 - 10*q**2 - 8*q + 15. Let j(h) = 5*l(h) + 2*m(h). Let b be j(9). Solve -4*f = -2*f - b for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of 0*z**4 + 0 + 2*z**2 + 1\/60*z**5 - 1\/6*z**3 + 1\/120*z**6 + 62*z. Let w(g) = 2*g**3 + 5*g**2 - 5. What is -5*q(l) + w(l)?\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*a - 3*a + 4*a)*(5 + 2 - 5) - 2 + 4*a + 1 - 5*a)*(3*a**2 - a**2 - 4*a**2).\nAnswer: 6*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - (-38 + (2 - -13))) + (1 - -7).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 8*d**2 - 8*d + 9. Let a be w(-9). Suppose -4*r = -a - 8. Factor -8*l**4 - 3*l**5 + 3*l**2 + 6*l**2 - 15*l**3 - r*l + 19*l**4.\nAnswer: -l*(l - 1)**3*(3*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -5*f + 3*f, s - 4*f = 0. Suppose -37798 = 3*h + 2*l, -4*l - 12596 = -s*h + h. What is h rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1438 - 99220\/69. Which is bigger: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 0*v**2 - 3*v**2 + 0*v**2. Let d(f) be the first derivative of -f**3\/2 + 5*f - 2. Let l(u) be the first derivative of d(u). Calculate o(l(k)).\nAnswer: -27*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -75076\/21 + 1084432\/273. Let j = y + -397. Are j and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (111\/(-370))\/(10\/(-20))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 46 + 94*x + 17.\nAnswer: 94*x + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = c - 1. Suppose -2*n = -6 + 2. Suppose 4*b = 2*m + 8, m + 4*b = 8 + 6. Solve n*u = -m + c for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28578547?\nAnswer: 17, 1681091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) 1\/4 (c) 3\/410 (d) -5 (e) 1\/3 (f) 41 (g) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*u - 8 = -s, 5*u - 20 = 0. Find the second derivative of 29*r**5 - 31*r**5 + 1 + 13 + r + 38 - 45*r**s wrt r.\nAnswer: -40*r**3 - 540*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - 7. Suppose -2*y - 3*y = -20. Suppose y = 2*u - 8. What is the remainder when q is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6 = t. Suppose -5*q + 82 = -w, -q = q - t*w - 25. Suppose -v = v - 4*l - 26, -q = -3*v - 5*l. Does 3 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -624284 or -624312?\nAnswer: -624284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10519 + -10532. Do l and 0.0328 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1ac28 (base 15) to base 9.\nAnswer: -142442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72699?\nAnswer: 3, 11, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nbbnbbb. Give prob of picking 3 b.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (62 - (-10)\/2)*4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 357*q - 3861 + 7036 = -25742 for q.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -748, -753, -758, -763, -768?\nAnswer: -773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(2\/3))**(4\/15)\/(a**(-2\/3)\/a)**(-1\/21) assuming a is positive.\nAnswer: a**(23\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4894818 is divided by 978958.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/8 - (-13)\/4. Let i = 16 - 8. Suppose -d*u + i = u. Which is the closest to u? (a) 5 (b) -1\/2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2248187 and 1.7.\nAnswer: -2248185.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a038 - -5a1?\nAnswer: -19547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - l**2 + 0)*(-207*l**2 - 234*l + 234*l).\nAnswer: 207*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + -7)\/((-2)\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -9*w + 3*w**2 - 1 + 31*w**3 + 37*w - 41*w**3 + 5 + 3. List the prime factors of p(-5).\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 9 = 9*d. Let p be (-56)\/(-12)*(-9 - d)*-1. What is the highest common factor of p and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = 3*x - n, -2*x + 3*n = -5. Let t = 25626\/23 + -299397\/299. Let k = t - 113. Put 3, k, x in descending order.\nAnswer: 3, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/(-8) + 6 + 1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 - (36 + -54 + -19).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 5 + 31 - 59\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 2*k + 0*k)*(-6*k - 2*k + 4*k + (5 - 3 - 3)*(5*k + k - 4*k) - k + 1 - 1)*(4*k + 2*k - 3*k).\nAnswer: -21*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30 + 39)*40\/18.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 407339?\nAnswer: 43, 9473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.15, 2.1, 1\/5?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1*(-1 + sqrt(243)))**2.\nAnswer: -72*sqrt(3) + 259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2853 and 15671529?\nAnswer: 15671529","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 79971*j + 4238462. Calculate v(-53).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a + 16*a + 60 = 0. What is the units digit of (-246)\/(-16)*a\/(-15)*24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lk when two letters picked without replacement from zlzflkzlxzkzkzzfq.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 5 = -89*v + 91*v, -o + 23 = -4*v for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 5*a - 876 = -885, 0 = -2*a + 10 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -16*p + 18*p for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0, 1\/2, -0.3, 129.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*q**3 - 6\/5*q + 8\/5*q**2 + 0.\nAnswer: -2*q*(q - 3)*(q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 519568 is divided by 3604?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.51561432 to 3 dps.\nAnswer: -0.516","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-91 - -17) - 34.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 687406787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mhf when three letters picked without replacement from fmjbhfhju?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 - s + 2. Let z(c) = 2*c**2 - c + 1. Calculate -3*m(y) + 4*z(y).\nAnswer: 2*y**2 - y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 90384.78 minutes in nanoseconds?\nAnswer: 5423086800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 1:08 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 955 divided by -93432\nAnswer: -955\/93432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*l + 900 = 78*l. Is l a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 173519152, 173519153, 173519154, 173519155?\nAnswer: 173519156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1231833893?\nAnswer: 1231833893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 206*y + 584 wrt y.\nAnswer: 206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.12 and 125962 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*h - 80 = -36*h. Let l(w) = w**2 - 9*w + 9. Let v be l(8). What is the highest common factor of v and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1 + -6*-1*-5*(sqrt(52)\/sqrt(4) + -1 + 2))**2.\nAnswer: 1860*sqrt(13) + 12664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 - -28. What is the least common multiple of p and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 2*v + 20, 2*j - 7 = 3*j - v. Let y be (152\/380)\/((-4)\/(-10)). Is 33 + (y - (j - -2)) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -128990, 3, -9 in decreasing order.\nAnswer: 3, -1, -9, -128990","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ds when two letters picked without replacement from {x: 4, s: 4, y: 1, d: 6}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42988582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 44*i - 85*i. What is the closest to -1 in -3\/8, i, 11, 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6338 + 1\nAnswer: -6337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.13 + 9372288193361.\nAnswer: 9372288193360.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 13 = 4*g - 5*g, 4*h - 8 = -g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + s - 1. Let l(k) = 8*k**2 + k + 2. What is the lowest common multiple of l(s) and 5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11002201012 (base 3) to base 6\nAnswer: 1421352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 8*r - 6. Suppose 0 = 147*b - 148*b + 6. Let s(i) = -i. What is b*s(m) + w(m)?\nAnswer: 2*m - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2.367, -1\/4, -3\/4, -3, 0.04, 24?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 4*p**5\/9 + 2*p**4 + 10*p**3\/9 - 10*p**2\/3 - 14*p\/9 + 4\/3 = 0.\nAnswer: -3, -2, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/4*(-448)\/280. What is the smallest value in 3\/11, -75, a?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1445 and 8.\nAnswer: 11560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5*x + 485, -2*x = 2*q - 7*q - 194. Let a = -97 + x. Solve -p + a + 2 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3*(2 + 4*(-5 + (sqrt(228)*-2 + sqrt(228))\/sqrt(12)*1))**2 + 3).\nAnswer: -1887 - 432*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11101100111 (base 2) to base 10.\nAnswer: -1895","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 894, 898, 902, 906, 910?\n\"Answer: 4*u + 890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1360853 and 9?\nAnswer: 12247677","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, b: 1, x: 1, n: 2}. Give prob of sequence gn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102000030 (base 4) to base 8.\nAnswer: -220014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (0 - 0) - (6 + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -85*v**7\/7 + v**4\/2 - 1352*v**3\/3 + 1325. Find the third derivative of r(z) wrt z.\nAnswer: -10200*z**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 122650392*v**3 - 20545*v**2 - 7*v + 98 wrt v?\nAnswer: 735902352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 3 - 4 + 2*y)*(-4*y + 36*y - 10*y).\nAnswer: 44*y**2 - 22*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 3 + (7 - (2 - -3))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3 - 100*c**2 + 215*c - 110.\nAnswer: -5*(c - 1)**2*(c + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/25645 + -51284\/76935. What is the closest to o in 1\/2, 0.2, -3\/7, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 1800 = -2*w. Let x be w\/80 + 1\/8. Solve -119*a**2 - 4*a**3 + 119*a**x + 5*a**5 + 5*a - 6*a**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mccccmysbbybsbsbmys. What is prob of sequence bmm?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -70, 1, -1 in increasing order.\nAnswer: -70, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 514 = -5*x - 131. Let r be ((-627)\/(-18))\/((-7)\/28). Let l = r - x. Find the common denominator of l and -41\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, y: 4, x: 3, v: 2, s: 3, f: 1}. Give prob of picking 2 s and 1 v.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 0 = -3*v + 6, d + 3 = 0. Let w be 1 + 0 - (-7 + 5). Let l(y) = -y**2 + 7*y - 4. Calculate the remainder when l(w) is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 12:45 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2*h + 2*r + 2, -h - 5*r + 17 = 0. Let x = -6 - h. List the prime factors of -1 - (x + (2 - 13)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22132259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -125 divided by -505153\nAnswer: 125\/505153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - c - 9 = 0, 5*a + 5*c = 6*c + 12. Suppose -k - 12 + 0 = 0. Is a*((-136)\/k - -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -5 + 15 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 4*o**2 - 11. Suppose 0 = -3*v + 2*v - 6. Let k(f) = -f**2 + 3. Let r = -60 + 38. Let s(q) = r*k(q) + v*p(q). Let d(h) = 4*h. Give s(d(l)).\nAnswer: -32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 1. Let a(j) = 3 + 7 + j - 2*j**3 - 5 + 5*j**2 - j. Give 2*a(h) + 10*d(h).\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in centuries?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 8:08 PM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 75 and 749250?\nAnswer: 749250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*i = 2619 - 2479 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -17. Let c(j) = -j - 10. Let l be c(-14). Sort l, q, -1 in descending order.\nAnswer: q, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3*z - 8 = 0. Let k be ((-18)\/(-12))\/(2\/z). Suppose k*p + 244 = 7*p. What are the prime factors of p?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1176 and 224.\nAnswer: 4704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 + 314 = 53*i + 75. Solve -3*r = -32*s + 37*s, 37 = i*s - 5*r for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 9 = o - 0*o, 0 = 3*d + 3*o + 9. Suppose -2*k + 3 - 1 = 0. Calculate the remainder when d is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -235*k. Let m(u) = -3759*u. Determine 4*m(c) - 63*r(c).\nAnswer: -231*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggsgsg. Give prob of picking 1 s and 3 g.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56847.\nAnswer: 3, 7, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26052 and 5460?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4288*a**3*p**3 + 3*a**3*p*y - a**3*p - a**2*p**3*y - 3*a*p**3*y + a*p + 5*p**3*y - 389*y wrt a?\nAnswer: -25728*p**3 + 18*p*y - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 10*v + 3. Let u be 19\/(-2) - 5\/10. Let j be x(u). Solve 3 = 2*c + i, -j = 3*c - i - 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (1 - (1 - 5)) - 15 - (1885 - 1942).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.02 (b) -1\/3 (c) 30 (d) -9 (e) 134\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j - 6. Let c be t(-3). Suppose -3*s - 4*u + 189 = 0, -c*s = -u - 177 - 12. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/20 - (-1186)\/(-10)*371. Round b to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/11 - (-12)\/(-66). Suppose 2*c + 5*c + 294 = j. Let w = -29 - c. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 1815 + 3497. Is 95 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 (base 7) in base 3?\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)*-1 + (sqrt(2) - sqrt(14)\/((sqrt(7) - ((sqrt(700) - sqrt(7)) + sqrt(7)) - sqrt(7)) + sqrt(7))).\nAnswer: -35*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-1\/20)*u)\/(u\/((((u*u**1)\/u)\/u*u*u)\/u*u)*u)*u**(-4)*u*u**(2\/9)*u assuming u is positive.\nAnswer: u**(31\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**3\/4 - 624*t**2 + 303696*t + 112285440 = 0.\nAnswer: -240, 1368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -919 or 373?\nAnswer: -919","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -98 + 100. Suppose -67 = -p*v + c, -4*v + 130 = 2*c - 0*c. Is 4 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven fifteenths of a hour in seconds?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2999167 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(585\/(-2093))*-15*12\/210.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = -3*v - h, 7*h = 2*h. Suppose -6*g + 3*g = -v. Calculate the remainder when 32 is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f - 4. Let t(z) = -7*z + 11. Let n(y) = 4*t(y) + 11*u(y). What are the prime factors of n(-1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-2))\/(9\/(-180)). Let a be (k\/(-15))\/((-3)\/(-18)). Solve u + c = -a*u, 4*c = -u + 19 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11\/121909065 or -1?\nAnswer: 11\/121909065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -114, -447, -1000, -1779, -2790, -4039, -5532?\n\"Answer: -y**3 - 104*y**2 - 14*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8893 + 8897. Which is the nearest to 0.2? (a) -163 (b) n (c) -2\/5 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2991 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/55, 0.3, -1.09409?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 710292220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3*(-11 - -9)*(-209)\/(-2).\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (34\/238)\/(8\/112). Sort 5, -2, f, -606.\nAnswer: -606, -2, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50717796?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 782457 divided by -2.\nAnswer: -782457\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -16*m**4 - 9*m**3 + 18*m**2 - 7*m + 7. Let u(n) = 11*n**4 + 6*n**3 - 12*n**2 + 5*n - 5. Let p(x) = 7*u(x) + 5*z(x). Factor p(h).\nAnswer: -3*h**2*(h - 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/80851647 and 83\/14061156?\nAnswer: 323406588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 42\/2*(-3)\/(-9). Let c = i + -14. Let q(g) = -375*g - 14 - 373*g - 377*g + 1124*g. Give q(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 42779478.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + 5 + (4 - 16) + (1 - (0 - 1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 6*a - 8. Determine q(7).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + -18. Is j less than -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3085\/4 - 778. Find the common denominator of b and 0 + 0 + (-165)\/6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o**2. Let r(a) be the third derivative of -a**7\/5040 + 11*a**5\/60 + 16*a**2. Let u(f) be the third derivative of r(f). Determine u(m(z)).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, t: 7, u: 4, k: 1}. Give prob of sequence tuur.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2637030.\nAnswer: 2, 3, 5, 11, 61, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from occcocoocococcoocowo?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -g - 2*g, d = -g + 10. Suppose -w + 0*w + 5*z + 285 = 0, -3*z = 15. Suppose 0 = k + d*k - w. Is 3 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 7*r - 8. Let z(j) = -4*j**2 - 3*j. What is z(q(i))?\nAnswer: -196*i**2 + 427*i - 232","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9000 (base 11) to base 12.\nAnswer: 6b23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 294, 0, -3016, 126 in increasing order.\nAnswer: -3016, 0, 126, 294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(84) - (-2*sqrt(84) - sqrt(84))) - (1*-1*sqrt(84) + sqrt(84)))\/((sqrt(108)*-2*3 + sqrt(108) - sqrt(108))\/(sqrt(729) - 2*sqrt(729))))**2*-3.\nAnswer: -756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t - 4 + 4. Let n be r(2). Let o be n\/9 - 85\/225. What is the nearest to 1 in -3, o, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 78 or 51972\/655?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 43007862 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - s = 106, -3*a + 7*a = 5*s + 134. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**4 + 2*n**5 + 0*n**4 + (2*n**3 + 0*n**3 - n**3)*(-17*n**2 - 10*n**2 + 13*n**2).\nAnswer: -12*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 46 = 3*b + b, -5*z + 2*b + 67 = 0. Suppose -4*w - w = -z. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2104042034 (base 5) in base 14?\nAnswer: 8179ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 2\/7, 2, -5, 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 13 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*m**4 + 380*m**3 - 1824*m**2 + 2224*m - 448 = 0. Calculate m.\nAnswer: -28, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -2. Let j = x - -1. Let q = j + -2. Is q at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 12248 = 13*m. Let q = -695 + m. List the prime factors of q.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 1:48 PM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*u**3 + 30*u**3 - 9*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t. Let a(j) = 3*j**2 - 15*j. Let x(i) = a(i) + 15*q(i). Suppose -3*n - 4 = -5*n. Let b(g) = -2 - 2*g + n. Determine b(x(d)).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42836.\nAnswer: 2, 10709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 9709 = 4*z + 4083, -3*z - 14000 = -5*t. Let b = t - 1980. Let w = b + -572. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3 or -143?\nAnswer: -143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -32644, -65290, -97936?\n\"Answer: -32646*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10001110210112 + -10?\nAnswer: -10001110210122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6876675 and 10440.\nAnswer: 1595388600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 100*v = 0. Let p(m) be the second derivative of -1\/4*m**5 + 0 + 0*m**3 + 8*m**2 - 23*m + v*m**4. What is the first derivative of p(a) wrt a?\nAnswer: -15*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33448553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -3*h - 3380, -2*h + 4*h - 676 = -x. Does 52 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24300306*o**3 - 130683*o + 30.\nAnswer: 145801836*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jggrgotrttgegrrgoj. What is prob of sequence oj?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from uiiiiuu?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/125 and -117\/100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8448761.\nAnswer: 8448761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/15 of a week?\nAnswer: 40320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -13 and -0.543.\nAnswer: -13.543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36479665629643 + 7*a + 36479665629643.\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5\/6)*s**(1\/2))\/(s\/(s*s**(1\/7))*s**(-21\/4)*s) assuming s is positive.\nAnswer: s**(341\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94911 is divided by 23319?\nAnswer: 1635","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -6 + (-7 + 5 - 2) + -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wzzr when four letters picked without replacement from {w: 4, z: 13, r: 3}.\nAnswer: 26\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-12)*-12)\/(-3 - -9). Let t = -68 + 66.3. Which is the nearest to -2? (a) -2\/3 (b) m (c) 4 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -233418, -233427, -233442, -233463, -233490, -233523?\n\"Answer: -3*p**2 - 233415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1856400)\/(-39) + (0 - 3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 47. Let p = r - -60. Suppose p = 4*c - 61. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) + sqrt(147)\/(sqrt(42)\/sqrt(6)))\/((sqrt(60)\/sqrt(2))\/sqrt(10)).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 348.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from liilliniiiiinnln. What is prob of picking 1 n and 1 i?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 245381.3 grams?\nAnswer: 245381300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 8) to base 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 295031352 divided by -539.\nAnswer: -547368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -25. What are the prime factors of (-2 - q) + (3 - 2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -130. Let j(o) = -o - 191. Give -5*j(k) + 8*w(k).\nAnswer: 5*k - 85","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrarrrrrx. What is prob of sequence rrra?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1696 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: Let q(p) = -p**2 + 4. Let r be q(3). Let b = -5 - r. What is the third derivative of 2*g**2 + g**5 - 3*g**5 + b*g**2 wrt g?\nAnswer: -120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, -25, -91, -193, -337, -529, -775?\nAnswer: -1081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9809.94607 + 9810. What is p rounded to 3 dps?\nAnswer: 0.054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 255, 496, 737?\nAnswer: 978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (74\/(-10656)*-36)\/((38\/(-16))\/1).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 295 = -5*b, 10*x - 118 = 8*x + 4*b. Calculate the remainder when x is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -10c?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*q - 6. Let h be (2 - -1) + q - 3. What is the biggest value in -0.5, h, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - 1.1. Let r = 348.566 + 0.434. Let x = 351 - r. Which is the nearest to -0.04? (a) y (b) x (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2881 to 2 decimal places.\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4 + -0.1. Which is the closest to -0.2? (a) 2\/9 (b) w (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*y = 100*y + 213084. Let j = y - 4545881\/64. Calculate the common denominator of j and -21\/32.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -768689*l**3 + 13*l - 30344?\nAnswer: -4612134*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 64129215 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1, -177, -0.1, 0, -1\/28 in decreasing order.\nAnswer: 0.2, 0, -1\/28, -0.1, -1, -177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1007 and -1995.0171.\nAnswer: -3002.0171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.46778 rounded to two decimal places?\nAnswer: -38.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 735774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 182.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 7:37 PM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*i - 3 = 0. Let x = -4 + i. What are the prime factors of ((-7)\/x)\/((-15)\/(-135))?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 5*i**4 - 14*i**3 - 205*i**2 - 318*i - 150. Let b(d) = 9*d**4 - 30*d**3 - 408*d**2 - 635*d - 299. Let g(v) = -6*b(v) + 11*o(v). Solve g(r) = 0.\nAnswer: -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2186.43558 * 0.4\nAnswer: 874.574232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3 - 4*p**2 + 32*p.\nAnswer: -p*(p - 4)*(p + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 272*a**2 - 139*a**2 + 394*a**3 + 298*a**3 + a - 134*a**2.\nAnswer: 692*a**3 - a**2 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4583 is divided by 85.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1552*r = -2*y + 1549*r - 57, 23 = -23*r for y.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z**2 + 941. Let t(x) = 234*x. Let b(q) = -167*q. Let v(h) = -7*b(h) - 5*t(h). What is o(v(r))?\nAnswer: -3*r**2 + 941","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -36*x**3 - 6*x**2 + 4*x**4 + 24*x + 4*x**4 + 10*x**2. Let j(z) = -z**4 + z**3 - z. Let l(g) = -i(g) - 24*j(g). Solve l(k) = 0 for k.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 8*q**2 + 5*q - 9. Let n be s(-7). Suppose 0 = -n*o - 10503 - 5532. Let l = -25621\/8 - o. What is the common denominator of -29\/3 and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 257454908 to the power of 1\/2, to the nearest integer?\nAnswer: 16045","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 10*u**2 - 4*u + 10. Let d(l) = l**3 - l**2 - l - 1. Let r(i) = 3*d(i) + y(i). Let n(x) = x**3 + 2*x**2 - 2*x + 2. Give -21*n(s) + 6*r(s).\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1072.1 + -1120. Let o = -48 - f. Let u be 7\/(105\/5) - (-21)\/(-36). What is the closest to o in 21\/4, -1\/5, u?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-468)\/8112)\/(2\/(-8))\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4868, -20442, -46374, -82664, -129312, -186318, -253682?\nAnswer: -331404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (4 + -8 - 0 - -6)) + -4 + 106\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*a)*(-5 + 1 + 1) - 1 + 1 + a - 5*a + 2*a + 5*a.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3.2 times -221029\nAnswer: -707292.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*c + 18*c + 0*c)*(9 + 2*c - 9) + (c + 0*c - 3*c)*(0 - 2*c + 0) + 0*c**2 + 3*c**2 - 2*c**2 as v*c**2 + y + i*c and give v.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/5 (b) 3 (c) -17.593\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -30?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 705.504222 - 705.5. What is m rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 37*j - 147. Calculate k(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 6) in base 10?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 585 = 3*i. Suppose 2*a - i = -a. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g. Let l(r) = 3*r**2 + 28*r. Determine l(v(n)).\nAnswer: 3*n**2 - 28*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n. Let t(z) = 2*z - 10. Let s(y) = 5*b(y) + t(y). Let j be s(4). Is (-1376)\/(-36) + (-4)\/j a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -17*r**2 + 4*r + 4. Let c(f) = 33*f**2 - 9*f - 9. What is -4*c(t) - 9*v(t)?\nAnswer: 21*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 75 and 68784540.\nAnswer: 343922700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 2)*(-10 - 12 - 1)*(26 + 35*x - 26).\nAnswer: 805*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 65 - 64.93. Let c = -10.93 - o. Are -1 and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**2 - 1. Let p(t) = 36*t**2 - t - 10. What is 2*p(h) - 22*v(h)?\nAnswer: 28*h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 76*c**2 + 538*c. Give x(-2).\nAnswer: -772","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (((-162)\/84 - -2)*-2)\/((-37)\/1813)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*f - 2*y - 3, -5*f = -2*y - 23. Let i(m) be the first derivative of -f - 4 + m + 3 + 1 + m**2. Differentiate i(h) wrt h.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 30\/11 and (1 + -114)*(-5)\/30.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f + 46 = -a + 7*f, 2*f - 8 = 0. Let t be (-12)\/9*(0 - 15\/a). What is the closest to 0.6 in -1, t, -0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 19, 5, 1\/4, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, -4\/5, -10, -27, 8?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -294 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - h + 6. Suppose -4*i + 143 = h*q, 12 = 3*i - 3*q - 90. Let v = i - 32. Solve -2 = -u + v for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of y**6\/120 - y**5\/12 + y**3\/6 + y**2. Suppose -2*a - 3*a = 5*k - 10, -3*a = k - 10. Suppose -a*g + 20 = -0*g. Give t(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*w - 22*w + 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*b + 45*b + 108 = 5*x, -5*b - 2*x + 586 = 0. What is the remainder when b is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**2 + o**2 + 2*o**2)*(3 - 3 + 51*o**3).\nAnswer: -51*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 30\/4*4\/5. Suppose 0 = -0*x + x + 5*k + h, 5*x - 28 = 4*k. Suppose p - 43 = -x*g, -2*p - 27 = -2*g + 3*p. Does 7 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 130696583.3803092 - 130696544. Let a = z + 4.6196488. Let w = a - 44. What is w rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108 and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -833.2 (c) -0.26 (d) -3 (e) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4514, 9043, 13572?\n\"Answer: 4529*r - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80725.\nAnswer: 5, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 6907622.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(130)*-1)\/(sqrt(10) + sqrt(810)*2))**2.\nAnswer: 468\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**4\/7 - 136*b**3\/7 + 1410*b**2\/7 + 16236*b\/7 + 14688\/7 = 0.\nAnswer: -6, -1, 24, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 802 + -793. Solve -3*s + 0*s - j = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 935*u - 3605 = 1656*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4692 - 9*m**3 + 9392 - 4700.\nAnswer: -9*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2729828013 - -2729828235.80000967. Let u = b + -222.8. Round u to seven dps.\nAnswer: 0.0000097","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 69134 and 286?\nAnswer: 760474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 910483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from flrfnqqrvrnvrfn. What is prob of picking 1 n, 1 v, and 1 r?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -12 (c) -9\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4*u - 6, 3 = 2*x - 5*u + 4. Suppose -x*b - 1 = c + 1, -4*b = 20. Let t(n) = n**3 - 3*n - 4. Calculate the least common multiple of t(3) and c.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, -14, -67, -174, -353?\nAnswer: -622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9666*f**3*g**3 + 58*f**3 - 23*f**2*g**2 + 45030*f*g**3 wrt f.\nAnswer: 57996*g**3 + 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1399, 1466, 1579, 1738?\nAnswer: 1943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 + 46 - (1 + -37) - -2?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32144 + -18144. Suppose 0*h - 5*h = r. What is h rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 36*f - 93. Let p be m(-32). Solve 23*q + p = 16*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uughshuehshuueuuc. What is prob of sequence geeu?\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*b + 2318*b + 9659 = -38683 - 13200 for b.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 642789.\nAnswer: 3, 7, 19, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.03 - 1.63. Let d = 2 + w. Let t = -0.39 + d. Round t to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 20 = -4*c, 2*c + 17 = -3*x + 9 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 4*a + a)*(27*a - 50*a - 46*a)*(0 + 13*a + 0).\nAnswer: -1794*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {r: 5, n: 5, q: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 138, -4, 2 in decreasing order.\nAnswer: 138, 5, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113843625 divided by -175.\nAnswer: -650535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/2 + 1. Is 0 at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -14, 16776, -5, 3, -2, -4 in increasing order.\nAnswer: -14, -5, -4, -2, 3, 4, 16776","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 - (-16 - -14).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 - (-4 + 6 + 3). Let s be f\/15 - (-24)\/30. Sort 0, -3, s in increasing order.\nAnswer: -3, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71 - (59 + -27 - -1).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/61 in 4, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7.2481 kilometers?\nAnswer: 7248100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 81, 91, 113, 153, 217, 311?\n\"Answer: s**3 + 3*s + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -89 + 110 - (59 - 89)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16439 is divided by 5463?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2906?\nAnswer: 2, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65898, -65901, -65904, -65907, -65910, -65913?\nAnswer: -65916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z + 15. What is the remainder when 194 is divided by h(12)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 50*v + 388. Determine r(-8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 479.2 - 479. What is the closest to -1 in 2\/9, 5, -1, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 0 - 1 - 29*a**2 - a**3 + 3*a + 26*a**2. Let h be y(-4). Let m(d) = -2*d**2 + h*d**2 - 4*d**2 + 2*d**2. Give m(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/151? (a) 3 (b) 0.3 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 71208357?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x. Let p be y(3). Which is the third smallest value? (a) 1\/5 (b) -0.1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*j**2*n*r**2 - 1552*j**2*r**3*u - 196*j*n**2*r**3 - 524*j*n**2 + 67*n**2*r**3*u wrt u.\nAnswer: -1552*j**2*r**3 + 67*n**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - 4*b + 6. Let f be w(4). Let d = f + -3. Let x be (-5)\/(15\/(-48))*d. What is the highest common divisor of x and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -29 + 0*m**5 + 0*m**4 + 1\/15*m**6 + 3*m - 10\/3*m**3 - 193\/2*m**2. What is the first derivative of l(p) wrt p?\nAnswer: 8*p**3 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2 - (85 - -2))\/(-1)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 164 + -92. Let z = -67 + f. What is the biggest value in z, 1\/7, -17, 0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q + 1. Let a(u) = u**2 + u + 14. Let r(c) = a(c) - 4*b(c). What is the units digit of r(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2916, -2917, -2918, -2919?\n\"Answer: -u - 2915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*g**2*j**2 - 4621*g**2*j + 214*g**2 + 7*g*j**2 + 2*g*j - 11164*j**3 + 2*j**2 + 2*j wrt j.\nAnswer: 16*g**2 + 14*g - 66984*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0595866629 to six dps.\nAnswer: 0.059587","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101000100111 - -100011?\nAnswer: 10101001001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**2\/2 - 67033*a = 0. Calculate a.\nAnswer: -134066, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 16*t - 10. Let i = 1 - 2. Let z(j) = -1 + 5*j - 2*j - 2*j + 0*j. Let p(b) = i*q(b) + 10*z(b). Let x(l) = -2*l**2. What is x(p(s))?\nAnswer: -72*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1903 + 634 - 142595*u + 634 + 635.\nAnswer: -142595*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(6*3\/(-6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 87073056 and 52.\nAnswer: 1131949728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 4*b - 53488 - 475289, 2*m - 352519 = -3*b. Is m 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 79445680?\nAnswer: 2, 5, 23, 43177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 4*d + 12 = 0. Let b(u) = -u**2 - 6*u**2 + 5*u**d + 5*u**2 + 2*u. Let g(l) = -26*l**3 + 11*l**2 - 11*l. What is -11*b(p) - 2*g(p)?\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -61, 4, -35, 1 in ascending order.\nAnswer: -61, -35, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14\/9? (a) -0.2 (b) 0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 - -15. Suppose 0*c + 11 = -c. Let x = h - c. Solve l + f = -4*f + 10, 2*l - x*f + 19 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 9. Let d(g) = 6*g. Calculate d(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1475755 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: Put 32, 79, 1\/5, 2, 2\/21, 0, 2\/15 in decreasing order.\nAnswer: 79, 32, 2, 1\/5, 2\/15, 2\/21, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyoyoyyyyyyyyyyooy. Give prob of picking 2 y.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*c - 8. Suppose 4*n = 3*n + 3*y + 4, c*n + 4*y - 80 = 0. Suppose 0 = -2931*q + 2934*q - 114. Calculate the lowest common multiple of q and n.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y\/y**(7\/3)*y*y))\/(y**(-13)\/y*y))\/(y**27*y**(2\/3)\/y*y) assuming y is positive.\nAnswer: y**(-46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 85 - 18*a**2 - 118 + 2826*a**4 + 84*a - a**3 + 33 wrt a.\nAnswer: 67824*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 189 - -561. Is 6 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/((-375)\/(-20)))\/((-208)\/40*-1)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/71 and -2\/21939?\nAnswer: 21939","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1274769?\nAnswer: 3, 139, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2 + 7*r + 5. Let f(m) = m**3 - 7*m**2 - 29*m + 9. Let k be f(11). Let t be 8\/(-60) - k\/45. Calculate j(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147509?\nAnswer: 17, 8677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 1:01 PM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 3*g + 8. Let k be f(4). What is the third derivative of 5*s**2 - 373 + 373 - 10*s**k wrt s?\nAnswer: -240*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**2*d*d*(d*d**20\/d)\/d*d*d)\/(d**(5\/4)\/(d*d**8)) assuming d is positive.\nAnswer: d**(131\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*((-2)\/8 + 7\/20)*(-8500)\/765?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = 11*m + 2*m. Let n(v) = 12*v + 9. Let j(w) = 11*w + 8. Let k(f) = -3*j(f) + 2*n(f). Let r(o) = 19*o + 13. What is m*r(c) - 13*k(c)?\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*3*1\/9. Let o = -0.012 - 0.378. Let d = o + -0.01. Put 1, b, d in decreasing order.\nAnswer: 1, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 + 40. Let p = q - 7. Suppose -1 + p = f. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away -54775710?\nAnswer: 54775705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 614 divide 1264226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17663*g*o**2 + 38*g - 40*o**3 + 720*o - 2 wrt o?\nAnswer: 35326*g - 240*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-107*y**2 + y**2 - 41*y**2)*(1 - 2*y - 1)*(-2*y + y + 3*y).\nAnswer: 588*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 789 divided by -26?\nAnswer: -789\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.12494 to two decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1086619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and 705.\nAnswer: 2115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + o - o)*((-15 + 9 - 14)*(2 - 2 + 1) - 1 + 2 - 2 + (3 + 0 - 4)*(-2 + 5 - 1) + 2 + 1 - 2).\nAnswer: -44*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -8. Suppose -12*v = -9*v - 15. Suppose -2*i = 3*k - 737, 0 = -v*i - x*k + 1206 + 609. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 2736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + -17. Let t(v) = v**2 - 2*v - 17. Does 31 divide t(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 65 = 235. Let y(h) = -14*h + 1. Let j be y(-1). Calculate the greatest common divisor of o and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35125 and 31250?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18895.083045 + 18895. What is r rounded to 3 decimal places?\nAnswer: -0.083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -351*d**2*f**2 + d**2 - 83*d*f**2 - d*f - f wrt d.\nAnswer: -702*f**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-1) - 24\/8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24405.\nAnswer: 3, 5, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, m: 5, o: 3, n: 1, c: 2}. Give prob of picking 1 m, 1 n, and 1 v.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*g**3\/13 - 15628*g**2\/13 - 73934*g\/13 - 4484 = 0. Calculate g.\nAnswer: -26\/7, -1, 1121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 5*w + 81 - 124 = 0, 4*l = -3*w - 9. Let g(h) be the first derivative of -h**2\/2 + h - 2. Let a(i) = -i**2 - 4*i + 8. Give l*g(y) - a(y).\nAnswer: y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 402 + -386. Which is the nearest to 1? (a) t (b) -0.4 (c) 3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1671 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: Let z be (-16)\/(-56) - (-26)\/7. Solve 3*y - z*l - 4 = -1, l = y - 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-4)*i**(4\/11))\/(i*i**1)**(7\/5))**(-6\/5))**(2\/33) assuming i is positive.\nAnswer: i**(1196\/3025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6673 is divided by 32.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c - 1. Let g be q(1). Let t be (3\/6)\/(1\/12). Suppose g = t*i - 4*i - 6. Solve 3*v - i*k + 9 = 0, -11 = v + 4*k + 2 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 11. Suppose 0 = 3*s - 4*s. Is t not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/2 + (-16)\/4. Let x(s) = -43*s + 28. Let p be x(u). Suppose -3*b = -2*b - p. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (19 + 1)*(-33)\/(-22). Suppose 5*s + d = 10. Let t be (2\/1 - s)*(-3)\/(-387). Is 1 less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 2 + 3)*(-1 + 1 + 5*c) - c + 4*c - 5*c + 0 - c + 0 + (c - 5*c + 3*c)*(-2 - 1 + 1) - 4 + 4 - 2*c + 0 + 0 - 3*c.\nAnswer: -16*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3. Let m(u) = -4*u**3 + 9*u**2 + 5. Determine 3*k(f) + m(f).\nAnswer: -f**3 + 9*f**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 20 = -3*p. Suppose -4*x + 15 = -2*h + 1, 4*x = p*h + 5. Suppose -48 = -4*z - 0*t + 4*t, -h*z = t - 36. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 14 = -3*m - 2, -5*a - 20 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = i - 3*c + 26 + 6, 0 = 11*i - 3*c + 68 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5138 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 3*l + s, -2*s - 4 + 13 = l. Let f be ((-12)\/15)\/((-3)\/l). Suppose -3*b = -j - 8442, b + f*j + 0*j - 2827 = 0. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 340?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 26 - 16. Suppose -4*k - 101716 - 478274 = a*f, -2*k = -f + 290005. What is k rounded to the nearest ten thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-5))\/(6*(-1)\/(-4))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**2 - 24*t - 5*t**2 + 25*t - t.\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 412*g = 318*g + 1006 + 404 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8642.\nAnswer: 2, 29, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*w + 28. Suppose -4*o - 7 = 2*h - 31, -3*o + w = -4*h. Solve -i = i + o for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14b11c (base 14) to base 6\nAnswer: 23250034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -6501*z + 6503*z + 3 + 82*z**2 + 15. Let d(l) = l**2 + l. Let r(s) = -3*d(s) + m(s). Find the second derivative of r(h) wrt h.\nAnswer: 158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - b + 686 = 687, -3*t + 2*b = 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s - 4. Let l(c) = -9*c + 5. Let u be l(5). Let h be (-3)\/4 - u\/64*-2. Let z(w) = w - 1. What is h*z(x) + q(x)?\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5*i - 29 = -3*w, -3*i + 3*w = 51. Let y = i - -27. Solve -y*a = 5*t + 35, 5*t + 7*a = 3*a - 31 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13.08 - 10.08. Which is the third smallest value? (a) -5 (b) 5 (c) g (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14201?\nAnswer: 11, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*x + 2598 = -196*x - 498 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12446 - 57?\nAnswer: -12525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -9*u + 2. Let t(k) = -8*k + 1. Let q(l) = 5*b(l) - 6*t(l). Let y be q(4). Suppose 3*i + y = 4*i. Calculate the remainder when i is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 10 (b) 0.4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 3\/5*q**3 + 8\/5*q**2 + 7\/5*q + 2\/5 = 0.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 79 + -87 + (5 - -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30*j**6 - 3*j**4 - 14*j**2 + 38*j**6 + j**4 - j**4 + 4*j**2 - 5*j wrt j?\nAnswer: 960*j**3 - 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -64 (b) -2\/23 (c) -0.1 (d) 328 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and 1038248.\nAnswer: 1038252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -668 - 1479*y + 668.\nAnswer: -1479*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -51, -5, 0.1, -0.025?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68479980 = 4*n - 4*m, 5*n = 2*n - 5*m + 51360025. Suppose 5*x = 21*x - n. Round x to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4*f**2 + 16*f. Let l(t) = 5*t - 3*t - 3*t. Let v = -86 - -87. Let k(a) = v*c(a) + 16*l(a). Let h(j) = j. Give k(h(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.02 - -0.04. Let l = -0.01999994 + g. Round l to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 239.189058 milliseconds to days.\nAnswer: 0.000002768391875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x - 3*x - 4*x)*(-10*x + 52*x - 4*x + 0*x - x + 2*x + (-x + 0*x + 3*x)*(-1 + 0 + 3))*(7*x + 8*x - 24*x).\nAnswer: 774*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 13*d**2 + 58*d + 55. Suppose -81 = 15*f - 18*f. Calculate the remainder when f is divided by b(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12935 and 63680.\nAnswer: 827840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a + 679172 + 679129 - 2037472 + 679171.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 3*o - 17, 0*n + 2*n + 4*o = 12. Suppose 7*x - 4*x - 14 = -2*l, n*l = -2*x + 20. Which is smaller: l or 8\/3?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 238.2586 weeks?\nAnswer: 144098801.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -q**6\/105 - q**5\/35 + 2*q**3\/21 + q**2\/7 - 2*q + 3. Let r(m) be the first derivative of u(m). Factor r(l).\nAnswer: -2*(l - 1)*(l + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3 - (-33)\/21)\/((-12)\/(-175)) and 31\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -40? (a) -1\/2 (b) -0.54 (c) 0.4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -19417.9 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 205 + -80. Suppose p = y - 89. Calculate the highest common factor of 36 and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.9 rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8\/13795 or 0?\nAnswer: 8\/13795","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 850, 942, 1034, 1126, 1218, 1310?\nAnswer: 1402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8 + 12\/(-3))\/(-2). Solve -j*y + y = 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 47*z + 525. Is b(25) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1678 + 1413. Let t(z) = -28*z + 2. Let c be t(5). Let f = c - d. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -17*z - 3. Let u be x(-4). Suppose 5*c - 53 = -2*h, 4*c = -5*h + u - 26. Calculate the remainder when ((-4240)\/200)\/((-2)\/5) is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 33 = -c, 0 = x + 3*c - 3 - 16. Let u = x + 1. Is 11 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -41*n - 356. Let x be w(-9). Solve 6*h + x = 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 6. Let t = 11 + -14. Let g = t - i. What is the closest to 0.1 in 1, -1, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6230839 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.21 to zero decimal places.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -31? (a) 1 (b) 2\/3 (c) 17 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - 5*q + 20. Let l(x) = q - 7 + 3 + x**2. Let w(z) = -6*z**2. Let c(n) = -6*n**2. Let a(d) = -2*c(d) + 3*w(d). Give a(l(r)).\nAnswer: -6*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, 160, 342?\nAnswer: 524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*g - 31*g = 25. Let f(r) = -2*r + 0*r**3 + 0*r**3 - 50 - 25*r**2 + 2 - r**3. What are the prime factors of f(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m**5 + 3*m**4 + 2*m**3 - 3*m**2 - 5. Let h(v) = -2*v**5 - 2*v**4 - v**3 + 2*v**2 + 3. Let o(g) = 10*h(g) + 6*t(g). Factor o(b).\nAnswer: -2*b**2*(b - 1)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-3 + sqrt(1331) + sqrt(1331))**2 + -1.\nAnswer: -132*sqrt(11) + 5330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 40936.\nAnswer: 163744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44841616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -362 + 379. Calculate the remainder when 99 is divided by c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 5*o - 5, 3*p - 3 = p - 3*o. Suppose 4*h - 275 = -19. Let c(l) = 65 - 2*l**2 + 9*l**2 + 2*l - h + p*l. Give c(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1400\/10)\/(-28)*3*(-4)\/870?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -5. Let z(y) = 6*y + 2. Let p be z(-1). Let m be -2*-1*p\/(-24). Sort -3\/2, m, h.\nAnswer: -3\/2, m, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-1)*(-232)\/3828?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -426*b + 19346054 - 19346054.\nAnswer: -426*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 273, 71, -141, -369, -619?\nAnswer: -897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1225 is divided by 315.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1789649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 206 divide 39140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a micrometer in nanometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2343105*a + 3330033?\nAnswer: -2343105","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 82 (c) -7093.5 (d) -3\/2 (e) 0.2 (f) -5\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 (base 4) in base 2?\nAnswer: 11100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 918 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, j: 1, c: 2}. Give prob of picking 1 j and 1 k.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/96 and 47\/3648?\nAnswer: 3648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 256\/20 + 1\/5. Let l = -11 + n. Suppose 11*a - 6*a = u - 38, 2*u - l*a = 44. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -167*g**2 + 168*g**2 + 55 + 6*g - 58 - 3*g**3. What is z(3)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, 13053389, 0.3?\nAnswer: 13053389","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4732 divided by -4?\nAnswer: -1183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**3 - 15*p**2 - 8*p - 7. Let t be r(-7). Let j be (2 - t)\/((-3)\/(-3)). Let x be (-6)\/4*4*(-7)\/j. What is the highest common factor of 147 and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -244760 smaller than -244760?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**5\/3 + 8*s**4\/3 + 10*s**3\/3 = 0. What is s?\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f + 21*j - 19*j + 50, 2*f + 4*j = -104 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 506*q - 4170 - 13540 = 0 for q.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**2 - 21*r + 11. Let y be x(8). Let q = y + 447. What are the prime factors of q?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 4*s**2 + 5*s - 9. Let q be i(-9). Suppose -16*c + 24 = -19*c. Let x be (-9)\/(-12) + (-234)\/c. Calculate the highest common factor of x and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -211711 divided by -7\nAnswer: 211711\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 35*m - 12740. Calculate the greatest common factor of 2470 and m.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3540 (base 9) in base 14?\nAnswer: -d5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2563 + 4110. Is 1546 bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 147, -4, 0.04, 2 in descending order.\nAnswer: 147, 2, 0.04, -3\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15800*u - 15798*u - 13086. What is the thousands digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7326 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*a - 5454 = -347*a + 2018 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 21 = -4*d - 27, 0 = 4*v + 4*d - 24. Let a(w) = 2*w - 10. Let r be a(v). Is 2\/9 at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -672*f + 1338. What is j(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s*s**(-2\/7))\/s)\/s**6)\/(s*s**(2\/3)*s)**40 assuming s is positive.\nAnswer: s**(-2351\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -168 + 169.27. Let w = 0.07 - b. Let u = 1.172 + w. Round u to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32166927*a**4 + 85685*a + 63.\nAnswer: -386003124*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1893211052 and -4.\nAnswer: 7572844208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 - 23 - 3*a**2 + 164*a - 12.\nAnswer: -3*a**2 + 164*a - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 10 = -5*d + 3*d, 5*d = 97*r - 99*r + 36 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1093407*x**2*z**3 + x**2*z + 340349*x*z - 3*z wrt z?\nAnswer: 6560442*x**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let u be 121\/(-11) + 1225\/98. Determine l, given that u + 15\/2*l**2 - 9*l = 0.\nAnswer: 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18)\/(sqrt(3) - (sqrt(3) + sqrt(27)\/(sqrt(45)\/sqrt(5)))))\/(sqrt(242)*-3*4))**2*-5.\nAnswer: -5\/5808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -44*o**3 + 7*o**2 - 7*o - 7. Let z(t) = -29*t**3 + 5*t**2 - 5*t - 5. Determine -5*r(p) + 7*z(p).\nAnswer: 17*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1039789 - -1661890. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppvrrrprprprpvrvrm. What is prob of sequence rpp?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 20 + 2. Let i(g) = g**3 - 6*g**2 + 3*g - 8. Let p be i(s). Suppose 2*y + 0*y = p. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 956?\nAnswer: 10516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 1, 9 in ascending order.\nAnswer: -3, 1, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k - 8. Determine q(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 252251878?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 285 + -2277\/8. Is -1 at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -8 (c) 0.64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 339188567 to the nearest integer?\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 22 = -l, -168*o + 163*o = 2*l + 26 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t - 6. Let d be x(4). Solve n + 0 = d for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4*y = -3312, -2*h + 0*h = 5*y + 1668. Let n = -573 - h. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(5)*2 + sqrt(5) + 0 + 3 + (0 + sqrt(80) + sqrt(5))*-6 - (4*sqrt(1500))\/(4*sqrt(108) - sqrt(108)).\nAnswer: -317*sqrt(5)\/9 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/4 - 1743*k**2\/4 + 800415*k\/4 - 35153041\/4.\nAnswer: (k - 847)**2*(k - 49)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 2:50 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005187894 rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/5))**(2\/37)*(c\/(c\/(c\/(c**3\/c))))\/(c\/(c**(3\/7)\/c))*(c\/c**(-8))\/c**(-1)*c**(5\/3)\/(c*c**(5\/3)) assuming c is positive.\nAnswer: c**(8353\/1295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -7*r**3 + 3*r**2 - 2. Let d be l(-2). Let u be d + -1 + (-6)\/(-3). Let h = -19 + u. What is the greatest common divisor of h and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*d**2 + 15*d**2 + 22*d**2.\nAnswer: -11*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 291284*j**2*v + 546039*j**2 wrt v?\nAnswer: 291284*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (22 - 22 - 7*a**2)*(-20 + 20 + 51*a**2)*(3 - 3 - 2) in the form r*a**4 + l*a**3 + d*a**2 + y + p*a and give r.\nAnswer: 714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 2:06 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 37847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 5. Let x be w\/4 + 26\/(-72). Let a = 0.14 + 0.86. Is a greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -14*y + 5. Let k be x(-2). Suppose -3*n - k = -4*g + 3, 2 = 3*g + 4*n. Let r = g - 4. Solve -5*w = 5*o - 3 - r, 0 = o - w - 3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h + 3. Let k be f(0). Suppose 0 = -i - 0*i + 3*o + 12, 40 = k*i - 5*o. Suppose i = 5*y, q + 5*y - 11 = 4. Put -3, q, 3 in decreasing order.\nAnswer: 3, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -1, -26 in decreasing order.\nAnswer: 8, -1, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 166099, 332197, 498295, 664393?\nAnswer: 830491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*4\/3*225\/60.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**2*c*c**(-29)*c assuming c is positive.\nAnswer: c**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2783785571 to the nearest integer?\nAnswer: 52762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 507*o**2 + 3107*o - 131. Give r(6).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1028 + -2578. Let n = -773 - x. What is the remainder when n is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6307 - -9607. What are the prime factors of w?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1158588264.\nAnswer: 2, 3, 193, 389, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/30 + 39\/18. Let h(l) be the second derivative of 0*l**4 + 0*l**5 + 0*l**r + 1\/45*l**6 + 0 + 0*l**3 - l. Suppose h(q) = 0. Calculate q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 5*d**2\/3 + 205*d\/3 - 220 = 0.\nAnswer: -44, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00297069 rounded to 4 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1510575 and 342.37719?\nAnswer: 1510917.37719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -147\/2 + 2201\/30. Which is the closest to -1? (a) 0.5 (b) y (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10069 is divided by 24?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1ba3c (base 13) to base 16.\nAnswer: d4c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*l**4 - 64*l**4 + 21*l**4)*(-2*l - 5*l + 8*l).\nAnswer: -26*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by 27.\nAnswer: -11\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 57*d*k**2*r**3*t**2 - 3*d*k**2*t - 2*d*k*r**3*t**2 + d*k*r**3 - d*k*t**2 - 2*d*r**3*t + 5*d*r**2*t**2 - 2*k**2*t wrt k?\nAnswer: 114*d*r**3*t**2 - 6*d*t - 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 110, 182, 254, 326, 398, 470?\n\"Answer: 72*m + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -3*w + 540, -2*w + 894 - 9 = 5*k. Let o = k - -78. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*v - 42*v = -16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -3, 2 in decreasing order.\nAnswer: 5, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3150.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**4*w**4*(w\/(w\/(w**0\/w)))**0*((w\/w**(-1\/3))\/w**(-2))**(5\/16) assuming w is positive.\nAnswer: w**(217\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3474*m - 60980 + 37165 - 108197 for m.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -36 (b) 5\/7 (c) -1\/35 (d) 0 (e) 0.085\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggwucucwcuc. What is prob of sequence gg?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -96447.4 to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1802?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -168 - -257. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1337*i - 180060 - 180064 + 360124 to the form v + h*i and give h.\nAnswer: -1337","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 88502233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 + 2 - 1 + 8*s**2)*(2 - 17 - 3).\nAnswer: -126*s**2 - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*sqrt(176))**2.\nAnswer: 2816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 273357245 at most as big as 273357247?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.34 and 700.36445154.\nAnswer: 700.70445154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -711625413*w**3 - 2*w**2 + 90888583*w wrt w?\nAnswer: -4269752478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = w + 4846 - 59, 9592 = 2*p + 4*w. What is p rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177220070 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 218 divided by 13\nAnswer: 218\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -8*o**2 + 6*o + 6. Let s(x) = 15*x**2 - 11*x - 11. Calculate 11*k(i) + 6*s(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**5\/2 - 153*w**4\/2 + 699*w**3\/2 + 2133*w**2\/2 - 348*w - 990 = 0. Calculate w.\nAnswer: -55, -2, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 194, 431, 714, 1043, 1418, 1839, 2306?\n\"Answer: 23*n**2 + 168*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 6 + (4 - 10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-3 + (-5 + 1 + -1 + sqrt(891) + -4)*4))**2 + 0.\nAnswer: -101088*sqrt(11) + 567972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2602 + -45?\nAnswer: -2647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 15*j**2 - 23*j + 639. Determine u(11).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 3*j**2 + 3*j - 4. Let a be x(3). Suppose a*q - 2 = 8. Solve -5 = -5*h + 5*g, -7 = -3*h + q*h - g for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 7*w - 4*w + 5 + (1 + 0 + 1)*(-w + 3 - 3) to the form a*w + t and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -384444690 divided by 38444469.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(0 + 9) - -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**1*f**(-3)*f)\/(f**(-1))**(-40))\/(f\/(f**(2\/5)*f*f)*f\/f**(-4\/7)*f*f\/((f\/(f\/(f**(-2\/7)\/f)))\/f)*f*f\/(f\/(f**(2\/9)\/f*f))) assuming f is positive.\nAnswer: f**(-14389\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 357, 943, 1897, 3225, 4933, 7027, 9513, 12397?\nAnswer: 15685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 0. Let c = 0.1 - a. Let b = 74 - 369\/5. Sort b, c, 1 in descending order.\nAnswer: 1, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(-273)*(-3)\/1\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 105\/(-112)*(-4)\/10. Sort h, 2\/3, -59, -0.03 in decreasing order.\nAnswer: 2\/3, h, -0.03, -59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97, -93, -87, -79?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 + 22. Let u = -16 - s. Let f = u + 14. Put 5, f, 1\/2 in decreasing order.\nAnswer: 5, 1\/2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 277812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sb when two letters picked without replacement from asbhhhhhsbbbahbbhb.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 51446 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 348 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -129 - -124. Let w be s + (-1301298518)\/286 + 2\/(-11). Round w to the nearest one hundred thousand.\nAnswer: -4600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 21 = -3*c, -c - 10193*l + 10190*l = 15 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/2*(-1036)\/21. Let x be n\/(-12) + (-5)\/30. What is the greatest common divisor of x and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 22 = 3*d - 4*g, -4*d + 4*g + 24 = 0. Suppose 4*o - 3*y + d - 22 = 0, -y + 5 = o. Solve b - 20 = -5*q - 8, 0 = -o*b + q + 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g + 14 - 17 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 3)*(-3*k + k + 4*k) + 0 - k + 0*k - 3.\nAnswer: -3*k - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, -10, 4 in decreasing order.\nAnswer: 4, 0.01, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rwfg when four letters picked without replacement from {g: 1, f: 4, w: 5, c: 1, r: 4}.\nAnswer: 2\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 3*z = -15*j + 8, -z = -5*j + 24. Solve j*c + 15 = -0*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*q - 4 = 0, -2*q - 1 = -x - q. Let l = 2 + -1. Suppose 3 = x*a - l. Sort 2\/15, -0.5, a in increasing order.\nAnswer: -0.5, 2\/15, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -w**4\/3 + 20*w**3\/3 + 238*w**2 + 3583*w. Factor b(c).\nAnswer: -4*(c - 17)*(c + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**2 + 77828*a + 155652 = 0. Calculate a.\nAnswer: -77826, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d + 83 - 83 + (0 - 3 + 4)*(15 - 346*d + 347*d - 9).\nAnswer: -d + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - 12\/(-16) - 3. What is the closest to n in 1, 0.2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5075\/9 + 564. What is k in 0 - m*k - 1\/9*k**4 - 1\/3*k**3 - 1\/3*k**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of 3*v**4\/4 + v**3\/3 - v + 298. Give u(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-57 + 34 - -23) + 1 + 14\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*2 - (-14)\/(-9). Let p = 792290\/21 - 37715. Let f = 13 - p. What is the third smallest value in k, -2\/11, f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4.5, -0.3, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 147\/(-28) - (-1)\/4. Suppose 4*t + 1 - 13 = 0. Let l = 10 - 6. Sort q, l, t in decreasing order.\nAnswer: l, t, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((21 - 0)\/189)\/(1\/2). Let g = -0.3 + -3.7. Let s = g + 1. Which is the nearest to 0? (a) x (b) s (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -453447 * -82\nAnswer: 37182654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 202005*a*p**3 + 152*a*p - 92*a - 2*p**2 wrt p.\nAnswer: 1212030*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 9:56 AM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 59*h**5 - 3427566*h**4 - 784094431*h?\nAnswer: 1180*h**3 - 41130792*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 6) in base 15?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-17)\/51)\/1 - (-120)\/192\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n**3 + 5*n**3 - 6*n**3)*(-285*n + 165*n - 85*n)*(-2 + 4 + 2).\nAnswer: -3280*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 879809.5 decades in years?\nAnswer: 8798095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1836 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a - 7. Let p(b) = -6*b - 10. Let k(r) = -4*p(r) + 5*v(r). Let m(c) = -4*c - 2. Let z be (0 + -1)\/1 + 15. Calculate z*m(y) + 6*k(y).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -39, -77, -115, -153, -191?\n\"Answer: -38*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1163680.3 rounded to the nearest ten thousand?\nAnswer: 1160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55 and 3553.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3992093 is divided by 7325.\nAnswer: 7293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 2*s - 12, -3*s = 4*o - 2*s - 5. Which is the nearest to o? (a) 4\/5 (b) -5 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12101012020 (base 3) to base 13.\nAnswer: -39240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 3*p + 15*p = -22 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -864*r**2 + 29*r - 9. Let f(k) = -1727*k**2 + 53*k - 19. Let b(m) = -6*f(m) + 11*y(m). Find the second derivative of b(i) wrt i.\nAnswer: 1716","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17259409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.26624923 rounded to 3 dps?\nAnswer: -1.266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12654278 and 2093.\nAnswer: 2093","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 15, 8, -1, -5 in decreasing order.\nAnswer: 15, 8, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7337 - 146679\/20. Calculate the common denominator of -39\/64 and d.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 7:29 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 398 - 518. Let x = m - -123. Let n = 1 - 1. Solve 4*a + 5 = -p, x*p = 4*a - n + 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66*2\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one sixth of a week?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4455 = -29*i - 3933. Solve 0 = i*d - 37 - 53 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 - 27*n - 54.\nAnswer: -3*(n + 3)*(n + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-70))\/((-36)\/56)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 7:24 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 4. Let p be ((-48)\/(-4))\/(2 - (-3)\/(-6)). Suppose 4 - q*a**3 + 12*a + p + 4*a**2 - 7*a**2 = 0. Calculate a.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 22 - 20. Which is the nearest to -21\/4? (a) i (b) -5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26528995?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2\/3)*f*f**(2\/3)*f**0\/f**(-1\/6) assuming f is positive.\nAnswer: f**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 2:52 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2398779791 to the nearest integer?\nAnswer: 48977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 5) in base 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 6*c - 3. Let a be v(6). Let m(n) = -4*n - 4. Calculate m(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*s + 15*s + 8. Solve -3*u + 14 = -s*n - 5*u, -2*n - 12 = -4*u for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -5*k**3 + 5*k**2 + 8. Let f(c) be the second derivative of -11\/12*c**4 + 0 + 11\/20*c**5 + c + 0*c**3 - 17\/2*c**2. Determine -6*f(z) - 13*x(z).\nAnswer: -z**3 + z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 1 + 6 + 13*a + 3 + 11*a. Let t be g(4). Let u = t + -108. What is the third smallest value in u, 1\/16, 4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -14. Is (-8)\/h*1 - -99 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 79025 (b) 0.6 (c) 3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence haca when four letters picked without replacement from saaahcchcshhhah?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**4 - 58*a**3 + 62*a**2 + 58*a - 60.\nAnswer: -2*(a - 1)**2*(a + 1)*(a + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (7 - (5 - 2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*f = 5*f - 8 + 8. Solve f = 4*a - a - 5*z - 3, 4*a + 3*z = -25 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, v: 5, g: 5}. Give prob of sequence gv.\nAnswer: 25\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11.3 + -2.9. What is s rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*n - 90*n - 40*n as m + c*n and give c.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 5*m + 60 = 0, 6*d + 14743*m - 158 = 14703*m for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 738796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 2*t + t)*(684 + 2002 + 5544 + 2*t) + 3*t**2 + t**2 - 3*t**2 + t**2 - t**2 + 2*t**2 + (0 - 2*t**2 + 0)*(-5 + 2 + 1) + 0*t**2 - t**2 + 0*t**2.\nAnswer: 4*t**2 - 8230*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1564915538 to the nearest integer?\nAnswer: 1161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 165, 702, 1597, 2850, 4461, 6430?\n\"Answer: 179*n**2 - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + -3. Let o = -5 - y. What is the nearest to -0.1 in o, -0.2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(275)*4 + -5)**2.\nAnswer: -1000*sqrt(11) + 22125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*(-3 + (sqrt(432) - (sqrt(432) + 1)) + -1 + (sqrt(432)*-2 - sqrt(432))*3)*-6*-5)**2.\nAnswer: 15552000*sqrt(3) + 504244800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1351 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -110000 (base 2) to base 4\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 36 and 0.2.\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -14645.1 to the nearest 100.\nAnswer: -14600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 8*o**2 + 2*o + 31. Suppose 21 - 93 = 9*f. Let j be l(f). What is the highest common divisor of j and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 3*x + 3. Let w(s) = 1 + 2*s + 4*s + s**2 - 4*s + 1. Let j(m) = 2*n(m) - 3*w(m). Let k(a) = -3*a**3 + 3*a**2. Calculate 3*j(r) + k(r).\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**2 - 84 + 112 - 28.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 378687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 859236848.\nAnswer: 2, 17, 19, 53, 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2073375239.799149 - 2073376549. Let x = f + 1257.20087. Let s = x - -52. What is s rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 534 + 3?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k**4 - 78*k**2 + 2 + 80*k**2 + 2*k**4 as r*k**2 + v*k**4 + z + j*k + u*k**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5 + sqrt(77)\/(sqrt(44)\/sqrt(4)) + (sqrt(252) - sqrt(7)).\nAnswer: 7 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -599*u + 4*u**2 + 6*u**2 + 19*u**3 - 12*u**3 wrt u?\nAnswer: 42*u + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 5776*x - 5773*x + 10, -5*x + 8 = 4*y. Factor 8\/5 - 9\/5*f**y + 34\/5*f.\nAnswer: -(f - 4)*(9*f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -150 + 153. Let z(b) be the third derivative of 2\/3*b**l + 5*b**2 + 0*b - 1\/6*b**4 + 0. Differentiate z(t) with respect to t.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -49 + 41 - -20 - 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 4) + 2 - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8733368807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - n**2 - n - 1. Let u(d) = -16*d**3 - 6*d**2 - 6*d - 6. Calculate -2*u(p) + 12*x(p).\nAnswer: 20*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o**2 + 2*o - 4. Determine f(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -7*v + 4*v + 24*s - 205, -7*v + 3*s = 3 + 14 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qgec when four letters picked without replacement from ecgeqggecedeee?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*b - 45*b - 201*b.\nAnswer: -410*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of g**3 + 4*g + 93. Let z(s) = 2*s. Let l(j) = j. Let p(m) = -11*l(m) + 6*z(m). Calculate p(y(u)).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3712 - s**2 - 1859 - 1858 + 2*s**2 - s. Let a(j) = j**2 - j - 9. Determine 6*a(n) - 11*d(n).\nAnswer: -5*n**2 + 5*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -106*m**3 + 10*m**2 + 15*m + 11. Let j be w(-3). Solve g + j = 2923 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63972 and 38484?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1\/3, -0.04321, -7, 0 in ascending order.\nAnswer: -7, -5, -0.04321, 0, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*l + 80 = -116*l + f, 0 = -l - 5*f - 41. Let d(u) = u**3 + 21*u**2 + 2*u - 14. What is d(l)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 plus -2211?\nAnswer: -2293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.15 + 0.75. Let t = z + 4.4. Let h = 4.5 - t. Which is the closest to -1? (a) -2\/11 (b) h (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17490.96 + -13958.529. Let y = -3534 + w. What is y rounded to one decimal place?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**3*o**3*p**2 - 2*d**3*o**2*p + 770*d**3*o*p**3 + 183*d**2*p**2 + 2*d*o**3*p**2 - 6*o**3*p**3 wrt p?\nAnswer: 4620*d**3*o - 36*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 15*t**2. Let r(m) = 445*m**2 - 111*m**2 - 117*m**2 - 107*m**2 - 109*m**2. Give -b(g) + 25*r(g).\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 0, -43 in descending order.\nAnswer: 3, 0, -3, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45609 is divided by 1983.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of -16\/3*t**3 + 0*t + 0 + 17\/12*t**4 + 108*t**2 - 1\/30*t**5. Factor f(u).\nAnswer: -2*(u - 16)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125912011?\nAnswer: 125912011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 6*f**2 + 6*f - 10. Let t be z(8). Let s be (-110)\/t + (0 - (-1 - -2)). Which is the second smallest value? (a) -8\/3 (b) 5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9062 = 4*d - 2*r, 34*d + 3*r = 29*d + 11322. What is the thousands digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 9*k**2 - 4. Let u(o) = -13*o + 14. Let q(f) = 12*f - 15. Let b(y) = -4*q(y) - 3*u(y). Let a be b(3). Determine h(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/130 and 17\/182?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 9:52 AM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d - 36. Let b be t(11). Find the common denominator of -61\/9 and 0 - (48\/9 + 4\/b).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -7. Suppose 1 = r - 2. Suppose r = 2*l - 3. Solve p = l*i - 0*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -252, -58, 138, 336, 536, 738?\nAnswer: 942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + c - 586 = -3511, -2*l + 2931 = 5*c. List the prime factors of l.\nAnswer: 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -330 and -144.683?\nAnswer: 47745.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 14*p - 5 + 15.\nAnswer: -14*p + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 128, 116, 104, 92?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -86, -174, -262, -350?\n\"Answer: -88*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7890, 31807, 71754, 127731?\nAnswer: 199738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-33)\/(-54))\/(3\/45). Let u = 59\/6 - w. Which is the nearest to u? (a) 5\/3 (b) -3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 48314864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 754 divide 296951179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-6\/5)\/z**(-4))**(-44)\/(((z*z\/(z**0\/z)*z)\/z*z*z)**(-19)*((z*(z\/(z\/(z*z\/(z**0*z))))\/z)\/z)**(-4\/7)) assuming z is positive.\nAnswer: z**(-141\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -5*j + 99. Let p = 18 - 10. Calculate the remainder when j is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129561 rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -266 + 268. Suppose -o + 3065 = 6*r - 2*r, -5*r = t*o - 3835. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -689*o + 2067. Let s be x(3). Let w(t) be the third derivative of t**5\/15 + t**4\/24 + 5*t**3\/6 + t**2. Let z be w(s). Solve 4*c = z*c - 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/28, 2\/13, 3, -1\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 721 and 3914.\nAnswer: 27398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (116\/8)\/((-545)\/1308*(-2)\/(-5))\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/14)\/(702\/(-273))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + o = 16 - 17, -4*z = -o - 11 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/341 or 1?\nAnswer: -2\/341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 6*a**2 - 6*a - 4. Let k be z(-2). What is the second derivative of 264 + 3*c**2 - c + k*c - 264 wrt c?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 35 in -0.5, 2, -212, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/7*(-2)\/6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 11*j**3 + 2*j**2 - j - 2. Suppose 5*d - 111 = -5*x - 96, x = 3*d - 13. Give k(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 349 - 169 - 193 = t - 6*i, -i = -3*t - 22 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -43*b**5\/30 + 12*b**2 + 44. Let f(s) be the second derivative of c(s). Let h(j) = -j. Give f(h(q)).\nAnswer: -86*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.15 (b) -1 (c) -5 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 7. Let z = 12 + -12. Which is the biggest value? (a) i (b) -4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i**(1\/12)*i))*i*i*i)**(1\/21) assuming i is positive.\nAnswer: i**(7\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 3)*(-2208*g + 21 - 8*g**2 + 2211*g + 9).\nAnswer: -16*g**2 + 6*g + 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.99 + -1. Is 3\/5 bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/11 and -23\/26.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/(-5*sqrt(12))*5*-2.\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 718 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of 80*w**3\/3 - 580*w**2 + 4205*w - 112. Suppose y(x) = 0. Calculate x.\nAnswer: 29\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = x, -5 = 4*a - 4*x - 21. Suppose -4*o - 3*g = 9, -o + 2*g = a*g + 15. Suppose -b + 2*c + 46 = o, -b - 2*c = -48 + 6. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*h - 34*h = 49*h - 1740035. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11669, 23347, 35025, 46703, 58381, 70059?\n\"Answer: 11678*b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*k**3 + 9*k + 264*k**2 - 22*k + 13*k.\nAnswer: -28*k**3 + 264*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 1. Let m be 10\/(-3)*15\/(-10). Suppose -4*x - 10 = -5*u + x, 0 = 3*u - 2*x - 2. Which is the nearest to 2\/3? (a) m (b) u (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2081600 is divided by 4392?\nAnswer: 4184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than -2048821.6?\nAnswer: -2048823.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4975 is divided by 79?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 5*o + 5. Let r(p) = -11*p - 11. Calculate 3*r(k) + 7*s(k).\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2. Suppose 6*t - 2*t = 0. Let z(p) be the first derivative of -2\/3*p**3 + t*p + 0*p**2 - 1. Calculate r(z(d)).\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w - 3. Let t be z(5). Suppose -3*n = -t*g + 18, 2*n + 30 = 4*g - 6. What is the highest common factor of g and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172504 divided by -6?\nAnswer: -86252\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/(-40) - (-9765)\/(-4). Let j = 4800 + p. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -4\/9, -123\/5, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1550)\/2225)\/62)\/(-1)?\nAnswer: 1\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3070697?\nAnswer: 7, 438671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1047882788?\nAnswer: 2, 17, 906473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216 - 96 = 6*h. Let u be 1\/2 + 117\/h. Which is greater: -2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 12:32 AM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-0.242.\nAnswer: -0.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 11, y: 5}. What is prob of picking 2 l?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2669234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 2833.\nAnswer: 1\/2833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 48 - 56 = 0. Put 2, 3, -3, a in ascending order.\nAnswer: -3, 2, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4091399 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65061172 - 253338.\nAnswer: 64807834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1148 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: Let d(g) be the third derivative of 889*g**6\/60 + 92*g**5\/15 - 2*g**2 - 138*g. Find the third derivative of d(z) wrt z.\nAnswer: 10668","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -21. Let g(i) be the first derivative of 0*i - 1\/14*i**f - 1 + 0*i**2 - 2\/21*i**3. Factor g(o).\nAnswer: -2*o**2*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 6756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 76\/20)*-365. Suppose -78*b + 76*b = -r. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, v: 1, k: 1, o: 5, t: 1}. What is prob of picking 2 o and 1 a?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1554232471 and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 448 and 25662208?\nAnswer: 179635456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 337443.\nAnswer: 3, 112481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9.68 from -25.9.\nAnswer: -35.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -109*a**5*n**3 - 70*a*n**3 wrt a?\nAnswer: -2180*a**3*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*p**2 + p + 5*p + 2*p - 12*p**2 - 2*p + 52*p**2.\nAnswer: 12*p**2 + 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -8136*a - 24422. Give d(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(-4\/5)*j*j**(-5\/7))**42 assuming j is positive.\nAnswer: j**(312\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2012100212211012 + -20?\nAnswer: -2012100212211102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -5. Sort -3, -11, n in descending order.\nAnswer: n, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -53749*k**2 - 2*k. Let g be n(2). Round g to the nearest 10000.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 0)\/3*(4 - -269)?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -p**3\/6 - 5*p**2\/2 + 3*p. Let l(s) = -5 - 4 + 3 - 155346*s + 155343*s - 15. Calculate 21*a(y) - 5*l(y).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*h + 2*i + 1097, -5*h = -5*i - 1840. What are the prime factors of h?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 52*a + 8. Let z(k) = 53*k + 7. Let s(h) = -4*q(h) + 3*z(h). What is the first derivative of s(u) wrt u?\nAnswer: -49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (1 + 3 + -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00958 rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21912, -43818, -65724, -87630, -109536, -131442?\nAnswer: -153348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 399.1 + -399.099998472. What is d rounded to 7 dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1065 * -0.3.\nAnswer: 319.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 18110000 rounded to the nearest one million?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1123051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 120*z = 123*z, 0 = -4*z - 21 - 11. Let a(w) = -w**3 + 3*w. Let v(q) = q**3 - 2*q. Give t*v(f) + 5*a(f).\nAnswer: f**3 + 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, c: 5}. Give prob of sequence gccc.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 31*u - 16*u - 22*u)*(2*u - u - 2*u).\nAnswer: 7*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 70 = -10*z. Let x be (-2)\/((-2)\/z*-2). Solve 6 = x*o - 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z - 6. Let q be c(4). Let g(l) = 1 + 0 - 6 - q*l + 2. Suppose 2*h = 4*h + 18. Let u(t) = 4*t + 7. What is h*g(o) - 4*u(o)?\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1682 less than or equal to 711?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -376741*c**3*p**3 + 2*c**3 - 16*c**2*p**3 + 2965*c*p**3 wrt c.\nAnswer: -2260446*p**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 239 - 83. Is h a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 7*y + 25. List the prime factors of w(10).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -332 not equal to -8520?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -864 - 204. Let b = 96 - h. Does 12 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13169957165 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*j**3 + 48 - 47 + 3*j - 2*j to d*j**2 + z*j + y + o*j**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 8*s**2 + 2*s. What is f(8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + o**2 + o)*(-2*o**3 + o**3 + 2*o**3) - o**5 + 3*o**5 - o**5 + (2*o**4 - o + o)*(-7*o + 2*o + 3*o) + 2*o + 2*o**5 - 2*o + 5*o**3 - 5*o**5 - 5*o**3.\nAnswer: -5*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*a = -2*a + 22, -3*a + 9 = 0. Let c be (48\/30)\/(4\/u). Suppose c*h - 21 = 75. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -227 + 236. Calculate the common denominator of -57\/7 and 2\/260*-250*v\/36.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t + 7*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + x + 1. Let g(o) be the second derivative of 3*o**5\/4 - 3*o**3 - 9*o**2 + 3*o. Calculate g(j) + 18*z(j).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1108 and -4.\nAnswer: 4432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of 27*s + 0 - 2\/5*s**2 + 9\/100*s**5 - 4\/15*s**3 + 1\/20*s**4. Factor d(h).\nAnswer: (h - 1)*(3*h + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 x when two letters picked without replacement from eeeeweeexexwee.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 4930257.9 to the nearest 1000.\nAnswer: 4930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4198991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 9933?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3*l + 0*l + 1188 = 0, -2*l + 1987 = 5*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44 - -131\/3. Suppose j - 17 = 3*h, 4*j = -3*h + 2*h + 16. Suppose s + 29 = j*y - 2*s, -2*s - 6 = 0. Which is the smallest value? (a) i (b) 0 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -135*v**3 - 11*v**2 - 6*v - 9. What is l(-2)?\nAnswer: 1039","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**4 - 1. Let g(k) = -976*k**5 - 6*k**4 + 1947*k - 6. Let j(w) = -g(w) + 6*l(w). Find the second derivative of j(c) wrt c.\nAnswer: 19520*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -873*v**3 - 11016*v**2 + 437*v**3 - 36942*v**2 + 17*v**4 - 94612*v - 18*v**4 - 47089.\nAnswer: -(v + 1)**2*(v + 217)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 8*x**2 - 7*x. Give v(8).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1712278?\nAnswer: 2, 856139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62721857 to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 1058.\nAnswer: -1\/1058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37.4 + -32.4. Which is the closest to -1? (a) x (b) -0.4 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -82191 + 12657465\/154. What is the common denominator of l and -95\/88?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*469\/(-536)*(-4)\/35*-15.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 74*b**2 - 2 + 5.\nAnswer: 74*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mbprkpkpkmkkk. Give prob of sequence mbm.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2392 - -1948. Round q to the nearest one hundred.\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*s - b + 6*b, -9 = -3*s + b. Suppose 0 = s*z - 4 - 6, 20 = 3*l + 4*z. Let w = l + 0. Which is smaller: w or 1\/14?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 445 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -190.49 + 190.19. Let z = 3.1 - 3.04. What is the nearest to v in 0.2, -2\/17, z?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 9*a**2 + a - 1. Let p be d(1). Let q(n) = 1 - 12 - 21275*n + 4 - 29 + 21302*n. Does 31 divide q(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2d8 (base 15) to base 11.\nAnswer: -544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.02, -0.4, 1\/6, 0.08, 186?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*c**3 + 2 + 382*c - 229116*c**2 + 487*c**5 + 229116*c**2 wrt c?\nAnswer: 9740*c**3 - 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1669510011893 minus -3?\nAnswer: 1669510011896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -87, -344, -989, -2226, -4259, -7292?\n\"Answer: -34*i**3 + 10*i**2 - 49*i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(90) + sqrt(90))\/sqrt(3))\/(sqrt(640) - (sqrt(640) + sqrt(640)*-1) - sqrt(640) - sqrt(640)).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5641 is divided by 60?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 2*u + 7. Suppose j + 1 - u = -4*k, -3*j = -5*k - 1. Solve r = j*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8748791 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 1\/4*b + 0*b**2 + 1\/4*b**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - ((3 - (-3 + 6)) + 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 2, -1\/3, -10?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqeq when four letters picked without replacement from eqeqeqeqqeeee?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -31 (c) 0.03 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 1254*z + 1. Let o(n) = 1267*n + 2. What is 3*b(r) - 2*o(r)?\nAnswer: 1228*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.039, 5, 4, 0.23.\nAnswer: 0.039, 0.23, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.37 + 5.87. Sort f, -17\/2, 1, -2\/7 in increasing order.\nAnswer: -17\/2, -2\/7, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5518 and 1513.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 160*h + 131. Let y(d) = 319*d + 261. Suppose -s - 7 = m, 2*m - 6 = 3*s + 5. Let q(n) = s*w(n) + 3*y(n). What is the first derivative of q(u) wrt u?\nAnswer: 157","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 + -12 - (-14 - 2)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.0240911cm?\nAnswer: 0.240911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195272*a + 97485*a + 97590*a - 4925 = 0 for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 + 15)*(-3*r + 6*r - r).\nAnswer: 30*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + r = -925 - 46, 4*c - 1288 = 3*r. Suppose c = 5*a - 6*b + b, 2*a - 130 = 3*b. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1314 divided by -6.\nAnswer: -219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4273633 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 6*y**2 - 6*y + 7. Let k(x) = -2*x - 8. Let n be k(-6). Suppose -3*u - 1 - n = 5*t, 4*t + 26 = 2*u. List the prime factors of r(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-302)\/3020*70\/91?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 56\/55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 + -18. Calculate the remainder when (t\/3)\/(1\/57) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -538 - 591*m + 538.\nAnswer: -591*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j. Let m(d) = -2913794*d. What is n(m(x))?\nAnswer: 8741382*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(4752) + 1*sqrt(4752) + sqrt(4752))\/(-2*sqrt(704) - sqrt(11)))**2.\nAnswer: 288*sqrt(3)\/17 + 8512\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 - -33. Suppose -3*h = -2*j - z, h + 2*j = -4*h + 13. Calculate the remainder when h is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*d - 29. What is the remainder when d is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2 + (-2 - 1 + 1)*(-5 + 11 + 9))*(-4*c**3 + 2*c**3 + 4*c**3).\nAnswer: -64*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -510 = p - 518 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1820000 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 3:43 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 20 = 4*x, -f + 2*f + 2 = x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -494997 greater than -495000?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*n = -42*n - 1040. Is -42 greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 294 = -9*c. List the prime factors of c.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(1*2\/(-1987)). Suppose 2*b - b - u = -4*o, 3*b = -15. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -t - 49, -38 = -0*n - 3*n + 2*t. Let g be (-4)\/1*343\/(-28). Suppose 1 = -4*f + g. What is the greatest common divisor of f and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ciirr. What is prob of sequence crri?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4498795 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 16 = -2*j + 54, -5*b + 4*j = -70. Suppose n + b*t - 6*t - 19 = 0, 4*n + 2*t = 62. Solve -2*r = 4*y + 17 + 1, -2*r = 3*y + n for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -20 - (23 - 24)) + -1 + 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 - -56.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/((-16)\/8)*1*600\/(-58800).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 614 + 86 = 0. Let w = s - -198. Suppose 0 = -2*r + r + 8. Calculate the smallest common multiple of r and w.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**2 + 0*z**2 - 4*z**2)*(3 - 4 + 3 + 20 - 8 + 27 + (3 - 3 + 2)*(4 - 4 - 1)).\nAnswer: -39*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**2 + 6 + 6 - 12.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3228, -3232, -3238, -3246, -3256, -3268, -3282?\n\"Answer: -w**2 - w - 3226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3622*v**4 + 9*v**2 + 2901 wrt v.\nAnswer: -86928*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.12, 5 in ascending order.\nAnswer: -5, 0.12, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -834 minus 335.07577?\nAnswer: -1169.07577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a millennium in years?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -376 - -372 - (-39 + (-1 + 1 - -3))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 856 = -844. Solve 36\/5*r**2 + 6\/5 + v*r**3 + 27\/5*r = 0.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + 2 + 7 + -51 + 29?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -931, -1861, -2791, -3721, -4651, -5581?\n\"Answer: -930*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + m**2 - m - 2. Let o be k(-2). Let q = 356\/7 - 355\/7. Put 5, o, q, -5 in descending order.\nAnswer: 5, q, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4921744*f**2 + 669993*f - 3.\nAnswer: -9843488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.8517 + -0.1483. Which is the smallest value? (a) 0.15 (b) -0.4 (c) w (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 1966?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 9:11 PM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15*(-18)\/2205)\/3.\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -4. Let s(u) = 2*u**2 + u**3 + 5*u + 1 - 7*u**h + 1. Let d be s(4). Calculate the greatest common divisor of d and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10154654 is divided by 3384876.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**2\/3 + 436*p\/3 + 146 = 0.\nAnswer: -1, 219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-8)\/16)\/((-6)\/4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2 + 8*c + 4. Let i be g(-6). Suppose x = -1 - 6. Let d be x\/i - (-74)\/8. Calculate the greatest common factor of d and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33248122 to the nearest integer?\nAnswer: 5766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7734 to the power of 1\/2, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0013415 rounded to four dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - 21 - (-2 - 6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 7:53 PM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3820?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 703463609 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.035 - 40.965. Let h = 35.891 + 0.109. Let d = f + h. Which is the closest to -1? (a) 0 (b) d (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 1260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 4 + 0 - 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -27*t + 83. Let h be x(3). Suppose 3*n + h*f - f = 3472, 4*n + f = 4628. What are the prime factors of n?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -5448\/59 and -91 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281630438?\nAnswer: 2, 140815219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + 5*x - 2. Let j be v(4). Solve u = 3*u + j for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5*l = -636, 2*z - 636 = -2*z - l. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/168 and -33\/100?\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -702212078 divided by 351106039?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/5 (b) 0.6 (c) -0.1 (d) 3 (e) 0.152\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -125.662 to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-3 - (0 + -5)). Calculate the remainder when 23 is divided by 12*((-6)\/(-4) - l).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**6*b**6)**(3\/5)*(b\/((b*(b*b\/b**(1\/2))\/b)\/b))**(1\/59)*((b\/b**1)\/b)**(7\/6) assuming b is positive.\nAnswer: b**(5347\/885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 - 25.038. Let c = x + 0.188. Let w = 0.8 - c. Round w to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*i**3 + 144*i**2 - 41790*i - 56179683 wrt i?\nAnswer: 6*i**2 + 288*i - 41790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33659.\nAnswer: 97, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -w - 2*w + n, -6 = -5*w + n for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 6*h**3 + 40*h**2 + 752*h + 5360. Calculate k(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*m = 15, -9 = x - 2*x + m. Suppose 68 + 64 = x*g. Is 6 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*c = -3*v + 41, 2*v - c = 11. Calculate the remainder when 40 is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 422 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*s**2 + 6 - 2 - 1 + 8*s - 1.\nAnswer: -19*s**2 + 8*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000825 rounded to 6 decimal places?\nAnswer: 0.000083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -13, -49 in descending order.\nAnswer: -2, -13, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -4*z - 3. Calculate s(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xbw when three letters picked without replacement from {m: 5, b: 1, h: 6, d: 3, w: 1, x: 4}.\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26887, -53826, -80749, -107656, -134547, -161422, -188281?\nAnswer: -215124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/18*-1*41\/(-861)*-1148?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(171) + (sqrt(19) - (-2*sqrt(1216) - sqrt(1216) - sqrt(1216)))**2.\nAnswer: 3*sqrt(19) + 20695","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -2.9. Let h = -11.1 - -14. Let a = 3.3 - h. What is the nearest to i in a, 2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -y**5\/20 - 11*y**4\/12 + 31*y**3\/6 - 11*y**2\/2 + 22*y. List the prime factors of w(-14).\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 4*m - 6. Let j(p) be the first derivative of p**3\/3 + 4*p**2 + 6*p - 303. What is j(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32550 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 take away 0?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -2\/11, -3 in increasing order.\nAnswer: -10, -3, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 5:20 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 + -18. Suppose -3*s - 11 = -5*d, -32 = -2*d - 3*d - 4*s. Suppose y = -5*j + 21, 3*y + v = d*j - y. Sort j, 2, 0.\nAnswer: 0, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116, -523, -1222, -2213, -3496?\nAnswer: -5071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7320 - -14245569651.\nAnswer: 14245562331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -4)*(-10)\/30\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 65691, 131027, 196363, 261699, 327035?\n\"Answer: 65336*v + 355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*f + 17*f - 6 = -22*f - 3*h, 15*f = h - 44 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 10. Let d be 4\/q - (-22)\/6. Suppose -3*a**3 - 7*a**2 - 12*a + 0*a**d + 19*a**2 = 0. Calculate a.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -34929530 to the nearest one million.\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + -2 - (5 + (1 - 9))) + -1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 2:48 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jq when two letters picked without replacement from {j: 10, x: 2, q: 6}.\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 55 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1101\/8 or 138?\nAnswer: 1101\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10121 - -22100012?\nAnswer: 22012121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 289118920687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 72*d**2. Let j(a) = -189*a + 273. Let y(i) = 10*i - 14. Let f(p) = -2*j(p) - 39*y(p). Calculate f(s(x)).\nAnswer: -864*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 579.\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4*b - 26 = 0, -45 = -0*h - 5*h - 5*b. Solve -h*y + 3 = -2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 122 = -134 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 118776768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + u + 7. Let y be h(-6). Let s be -43 - -2 - (-52)\/65*5. Let n = y - s. Solve -4*j - 3*t + 23 = 0, 4*j + n*t + 0 = 22 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 1 + 7*a - 2*a + 4*a**2 - 2*a**3. Let f(c) = 5*c - 3 - 2 - 3*c. Let o be f(5). Give b(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.047 (b) -0.3 (c) -2 (d) 19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1584817.727 to the nearest 100.\nAnswer: 1584800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (-6 + 7)) + 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) -4\/5 (c) -50 (d) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*f + 39*f + 2*f + 465 = 0. Let n(v) = -v**2 - 11*v - 49. What is n(f)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/63 - (-2915347)\/843930. Let c = 10\/9377 + s. Calculate the common denominator of -11\/30 and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-29)\/(9918\/400) - 2\/(-9)?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 q when three letters picked without replacement from {q: 2, y: 9}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 7*x + 7. Suppose 0 = u + 4*u - 4*d - 18, -4*d = 4*u. Let 0*m + 0*m**3 + 1\/3*m**x + 1\/3 - 2\/3*m**u = 0. What is m?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 117*r + 128*r - 255*r + 50. Let j(t) = 2*t - 21. Determine j(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -z - 16. What is the least common multiple of z and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-4*sqrt(2736) + 5 + 5*sqrt(2736) + 2)*1)**2.\nAnswer: 840*sqrt(19) + 13925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24722543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/87 - -10\/29. Let d = 3 + -3.5. Let t = 72\/5 - 519\/35. What is the nearest to -0.1 in i, d, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10863, 43458, 97783, 173838, 271623, 391138, 532383?\nAnswer: 695358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, s: 1, y: 1}. What is prob of sequence hy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -13, 2, 5, 14, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 6, -5 in descending order.\nAnswer: 6, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 579 divide 1956571484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 29*f - 37*f)*(6*f**4 - f**4 - 2*f**4).\nAnswer: -198*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -333332524 (base 6) to base 2\nAnswer: -10111000100001100000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -329 - -544. List the prime factors of h.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v + 4. Let z be k(4). Let o be (-2)\/14 + (-171)\/(-21) + -5. Let t = o - z. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 9*f = -5*p - 31, 3*f + 3 = -5*p. Differentiate -505*u + 505*u + 122 + 20*u**4 + 24*u**f wrt u.\nAnswer: 176*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17067, -33771, -49765, -64695, -78207, -89947, -99561, -106695?\nAnswer: -110995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 6 + 1 - 34*t**2 as k*t + v + l*t**2 and give l.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence usu when three letters picked without replacement from {s: 10, u: 4}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 6571900 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mwj when three letters picked without replacement from {j: 6, w: 4, m: 4, l: 1}.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 287547078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**2 + 17*a - 8. Let c be m(8). Factor c - 2\/3*u**2 - 4\/3*u.\nAnswer: -2*u*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16.7 + 0.3. Let y = 32 + -33. Which is greater: y or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10756449.\nAnswer: 3, 11, 36217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 233 and 9?\nAnswer: 2097","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 632.2438 decades?\nAnswer: 75869.256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 15*s**2 + 14*s + 22. Is b(-3) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -27, -6, 29, 84, 165, 278?\n\"Answer: m**3 + m**2 + 11*m - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -336*l - 45*l + 83*l = -16092 for l.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3.26583000199+-12\nAnswer: -8.73416999801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m - 4 + 4)*(-2*m + 4 - 4) + 9*m**2 + 9*m**2 - 10*m**2 - 50*m**2 + 480*m**2 + 62*m**2.\nAnswer: 506*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201 + -112?\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0*o + 13 = 3*o, 4*t - 31 = -5*o. Suppose 3*p + 14 = p + 3*g, 3*p - t*g + 19 = 0. Which is the nearest to p? (a) -0.4 (b) 4 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*i**3 - 6564*i**2*m**3 - 4577*i*m**3 - 5*i wrt i.\nAnswer: 48*i - 13128*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3 - 2*t - 1 + 5*t + 1 + (-3 - 1 + 3)*(0*t + 2*t - t))*(24*t + 41 - 41)*(17*t**2 - 17*t**2 - 3*t**3).\nAnswer: -144*t**5 - 144*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*i + 15 = 0. Let s = 22 - 17. Let k = -4 - -4.3. Which is the third biggest value? (a) i (b) k (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*g + 504 = 143*g for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -10056400 to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63024.\nAnswer: 2, 3, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -5*v**3\/6 - 15*v**2\/2 - 12*v. Is r(-9) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -4*l - 10, -6 = -8*m + 5*m + 3*l. Suppose 3*y - 1 = -5*j - 4, -1 = m*j + y. Solve -4*b + 8 = -j*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 4*i = -k - 118, k + 4*i = 50. Solve k*x = 46*x + 12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 473647 is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 5*n + 1. Suppose 0 = 4*b + 2 - 6. What is the units digit of a(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 5 = 5*y - 2*n, 2*y = -3*n + 9 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-13)\/((-39)\/(-24))*-11. Calculate the common denominator of (-3)\/(-72) + (-22)\/f and -41\/88.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (85 - 105) + (-121 - -194)\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 448, 595, 740, 883, 1024, 1163?\n\"Answer: -i**2 + 150*i + 299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1420\/3 - -473. Which is greater: 170 or g?\nAnswer: 170","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1046045?\nAnswer: 5, 7, 11, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-91386935)\/(-6785) + (-6)\/(-177) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aut when three letters picked without replacement from {u: 4, t: 4, q: 1, a: 1}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18\/30 - (-13)\/(-5). Let t(c) = -6*c**2 + 2*c. Let q(d) = 7*d**2 - 3*d. Give m*q(a) - 3*t(a).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 19*p**2 - 1707 + 357 - 295*p + 11*p**2 - 35*p**2 = 0.\nAnswer: -54, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(6\/5)*p\/((p**(-21)\/p)\/p)*p\/(p\/(p**18*p))*p**(8\/9) assuming p is positive.\nAnswer: p**(2029\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4646 + -4649. Let g = -1 + -3. Sort -5, k, g in decreasing order.\nAnswer: k, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 357950 - 0\/(28\/(-7)). Suppose 14*f - s + 8659950 = 0. What is f rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17460824251620 - 17460821452696.1999948. Let m = q + -2798923. Let k = m + -0.8. What is k rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 r, 1 s, and 1 v when four letters picked without replacement from orosvrorjovsss?\nAnswer: 96\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1985.\nAnswer: 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 4*g**2 - 505*g + 1594. What is m(123)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 12*i + 3. Let h be 18\/(-27) + 82\/6. Let d be g(h). Let x be 19\/7 - (-2)\/7. Solve d = 2*c + 3*c + 3*n, -12 = -3*c - x*n for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70944001 to the power of 1\/2, to the nearest integer?\nAnswer: 8423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4180\/209*1\/((-7)\/1*-2)\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5*-127\nAnswer: -635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of 0*x**5 - 3\/8*x**4 + 0*x**7 + 3\/112*x**8 + 0 - 14*x**2 + 0*x + 0*x**6 + 0*x**3. Find the second derivative of w(n) wrt n.\nAnswer: 180*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45 + 45.0000024. What is u rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(1*(-12)\/30).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 21*z - 9. Let p(v) be the third derivative of -5*v**4\/24 + v**3\/3 - 86*v**2 + 2. Calculate -9*p(b) - 2*q(b).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -998 + 997 - 216*k**2 + 41*k**2 to the form i + w*k**2 + v*k and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3149 divided by 1.\nAnswer: -3149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 63 and -0.023?\nAnswer: -1.449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 193535 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*1*sqrt(408))\/(sqrt(648) + sqrt(648)*1))\/(2*(sqrt(300) - (sqrt(300) - (sqrt(300) + 1*sqrt(300))))*4).\nAnswer: sqrt(17)\/2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8324*c**2 - 2281*c - 2 wrt c.\nAnswer: 16648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6923820.92 rounded to the nearest one hundred?\nAnswer: -6923800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*(126\/(-8) - 1). Let t = 3 - f. Is 35 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-3)*(-3)\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**4\/9 + 18140*z**3\/9 + 43322834*z**2\/9 + 1088599736*z = 0. Calculate z.\nAnswer: -4409, -252, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 9477?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -17*v**2 - 13*v + 4. Let o(m) = 27*m**2 + 19*m - 6. Let i(d) = -8*g(d) - 5*o(d). Give i(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-28))\/(14\/441) + 24\/96?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 120709 and 121193 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**4 + p**3 - p + 1. Let w(j) = 9*j**4 - 2*j**3 + 2*j. Let l(v) = 6*f(v) + 3*w(v). What is the derivative of l(q) wrt q?\nAnswer: 132*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231.108 + 199863?\nAnswer: 200094.108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6307*o**2 + 2619*o**2 + 3723*o**2.\nAnswer: 35*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 50*w - 72 = 0, 3246*l + 6*w - 54 = 3243*l for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 37. Let c = -25 + f. Is c a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wrwrwwrwrwwwrwwwwrr. Give prob of sequence wrrr.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/252*-7*(-30)\/(-4)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*m + 2570*m + 2981*m - 170496 = 0 for m.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ywy when three letters picked without replacement from {y: 3, w: 11}.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/54 and 11\/60?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4*1196\nAnswer: 4784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 71 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*s - 3*z = 77*s - 154, 4*z + 24 = 0. Calculate the remainder when 8510 is divided by s.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = d + j + 19, 4*d - 5*j + 1 = 0. Suppose 60 = d*p - p. Suppose -1 = -2*c + l + 5, 0 = 4*c + 5*l - p. Which is bigger: c or 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6*(-5)\/(-105) + 766770\/35?\nAnswer: 2, 5477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -4*o**3 - 2*o**2 - 3*o + 18. Let s(p) = 2*p - 15. Let h be s(5). What is the units digit of z(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tc when two letters picked without replacement from {w: 3, t: 7, c: 1, d: 6}.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9256 and 918836?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -76449325, -76449332, -76449343, -76449358?\n\"Answer: -2*h**2 - h - 76449322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10810337 or -10810336?\nAnswer: -10810336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5\/(30\/(-4)))\/(20\/15). Which is the closest to f? (a) -5 (b) 0.13 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 4 + 19 + 3. Suppose o - 43 - y = 0. Does 17 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24507671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1540 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {i: 2, l: 1, j: 2, y: 1, k: 4}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of y**2\/2 - 4*y - 1. Let k be -1 + 18\/2 + -2. Let g be n(k). Solve 4*f + g*d + 6 = 4, 5*f - 14 = 3*d for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -11*c. Determine v(-5).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(120)\/sqrt(36))\/sqrt(10) - (sqrt(108)*-3 + 4).\nAnswer: -5 + 55*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9, 3, 1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i**2 + i + i + 1260*i**4 - 1254*i**4 in the form o*i**2 + h*i**3 + j + t*i + v*i**4 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 52*p + 78. Let b be s(47). Suppose 0 = o - 5*h - b + 102, h = o - 195. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1*sqrt(2) + -3) + sqrt(98) + (-1 + 1*sqrt(98))**2.\nAnswer: -10*sqrt(2) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) - (sqrt(114) + sqrt(114)*-1 + sqrt(114)))*-2)\/(sqrt(600) + sqrt(600)*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 5 - 2) + -8 + 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 3)*(r - 2*r + 2*r)*(-4 + 1 - 2)*(0*r**3 + 2*r**3 - 3*r**3).\nAnswer: -20*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and ((3 - 1)*10)\/2?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53 + -35. Suppose q + i = 4*l, 5*l = -q + 27 - 0. Calculate the remainder when 21 is divided by (-106)\/(-9) + q\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65630552 (base 7) to base 16.\nAnswer: 5606c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/((-585)\/(-54)))\/2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -11*v**2 + 21*v + 738. Let q(t) = 5*t**2 - 12*t - 370. What is 7*q(r) + 4*z(r)?\nAnswer: -9*r**2 + 362","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 5*l - 18 + 43, -3*m - 20 = 4*l. Let x = 0 - -29. Solve 3*w = -5*k + x, -3*w + 2*k + m + 1 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -875718 and 6.24.\nAnswer: -875711.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + 123. Suppose 114*f - 120*f = -w. Solve 4*x = -q + 12, 0*x = x - 5*q - f for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 8. Suppose 22*f + 550 - 836 = 0. Solve 2*l - 10 = -4*p + 8, -y*p + f = l for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seventeen sixths of a hour?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/4 - 10*k**2 - 113*k\/4 - 37\/2.\nAnswer: -(k + 1)*(k + 2)*(k + 37)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*h = 341306 + 253071. List the prime factors of h.\nAnswer: 7, 19, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2 - 13390950*z - 8965877095125.\nAnswer: -5*(z + 1339095)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 k when two letters picked without replacement from {f: 1, b: 1, v: 3, k: 1, l: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 40*q**2 + 4*q. Let l(w) = 54*w - 10. Let h(z) = -44*z + 8. Let f(j) = 5*h(j) + 4*l(j). Determine o(f(i)).\nAnswer: 640*i**2 - 16*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1631 divided by -233.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 + -3)\/(-1) - (1 + -5). Suppose 1 = -7*o + 6*o, g*u = 5*o + 662. Calculate the remainder when u is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2764 != 2765?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-39)\/9)\/(252\/756)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(20\/3) + (-2)\/(-5). Suppose 5*l - 4*h = 21, 2*l + h = 4*l - 9. Suppose -6*m - 33 = -l*m. Which is smaller: t or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 179 divided by 6.\nAnswer: 179\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, r: 3, g: 1}. Give prob of sequence rg.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**3 + 10*r**2 - 9*r + 7. What is w(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1+132257876\nAnswer: 132257877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 77 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -331.6 and -5.\nAnswer: 1658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -36*z + 53. Let t(u) = -22*u + 35. Let k(o) = -5*j(o) + 8*t(o). Determine k(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/5 of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-7)*t**(2\/15)*t)\/(t\/t**(-1\/5))**(4\/33) assuming t is positive.\nAnswer: t**(-992\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + m**2. Let d(z) = 6*z**3 - z**2 + 2. Let w = -250 + 249. Give w*n(o) - d(o).\nAnswer: -5*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-5 - (10 - (-18 + 24)))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -16, -102 in descending order.\nAnswer: -1\/4, -16, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-7))\/6*1*1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a week in minutes?\nAnswer: 88704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 5*q - 7, 3*u - 1 = -0*q + 2*q. Suppose -4*n + q = -4*r + 9, n = 0. What is the second derivative of 0*m - m - r*m**2 + 5*m**2 wrt m?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*k**3 + 351796*k**2 - 1641996*k - 586420 = 0. What is k?\nAnswer: -29321, -1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16492 is divided by 500.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 - -11. Let s = l + 46. What are the prime factors of s?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from deqddeqqeeqdeefqedd. Give prob of picking 2 d and 1 f.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 300466399 to the power of 1\/3, to the nearest integer?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 105, 908, 3081, 7308, 14273, 24660, 39153?\n\"Answer: 114*q**3 + q**2 + 2*q - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 14*p - 8. Let b be o(-15). Suppose -4*t + 533 = 6*r - 5*r, -5*t - 2*r = -667. What is the highest common divisor of t and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-162477)\/10316)\/((-3)\/8).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 4*u + s + 2, -s + 7 = 2*u. Let z(n) = -2*n + 9. Let i be z(4). Sort -2, u, -4, i in increasing order.\nAnswer: -4, -2, i, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) -4\/3 (b) -2.636 (c) -1 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -938789, -3755127, -8449029, -15020501, -23469549, -33796179, -46000397?\n\"Answer: -p**3 - 938776*p**2 - 3*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 351\/6*8\/12?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t + 19 + 4*t - 24)*(-14*t**2 + 6*t**2 + 6*t**2).\nAnswer: 4*t**3 + 10*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d - 1. Let q(j) = 6*j + 4. Let g(f) = q(f) + 5*u(f). Let b be g(5). Sort 0, b, -2 in descending order.\nAnswer: b, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/5 (b) -2\/7 (c) 0.012 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3*u. Let v(a) = -a. Let s(m) = -6*q(m) + 30*v(m). Let i(f) = -f. What is s(i(l))?\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -33*i - 3. Let u(h) = 5*h**2 - 3*h + 8. Let x(b) = -b**2 + b - 1. Let f(q) = u(q) + 6*x(q). Let g be f(4). What is the units digit of z(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, u: 1, n: 1, v: 5, d: 2, h: 5}. Give prob of picking 2 w.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -4*g + 3345, -2*g - 3*x = -3*g + 838. Suppose m + 3*f = 154, -5*m = -f + 3*f - g. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.958369 millennia in centuries?\nAnswer: 29.58369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4609*w = -4542*w - 402 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 710 and 426.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-44 + 18 - -32).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 4, 5.\nAnswer: -26, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l + 4. Let m(c) = -18*c - 12*c + 2 + 29*c. Suppose q - 5*q - 20 = 0. Give q*m(j) + 2*n(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5131807 - -5131807.6090402. Let u = 0.667034 - r. Let s = u - 0.058. What is s rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74675*p - 3*j = 74671*p + 12, -6*j - 3 = -p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -851, -3412, -7643, -13514, -20995, -30056?\nAnswer: -40667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = -2*j + 3*j. Suppose -2*y + 57 = -5*o, -4*o - 10 = -y + 11. What is the common denominator of y and 1*(-3)\/(-18)*j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 32, 10, -30, -94, -188, -318, -490?\nAnswer: -710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80360.72 centimeters to kilometers.\nAnswer: 0.8036072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j + 5*h + 14, -j = -507*h + 503*h - 7 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 7*m + 10 + 3.\nAnswer: 7*m + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m, 0 = -12*n + 15*n - 2*m for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -3*x**8\/560 - 5*x**7\/126 + x**6\/30 - 7*x**4\/12 - 10*x**2. Let b(t) be the second derivative of h(t). What is s in b(s) = 0?\nAnswer: -3, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u + 8. Suppose 6*s - 25 = s - 5*d, 0 = 2*d - 4. Suppose -5*y - p = -63, -s*p = 40*y - 44*y + 39. Calculate h(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-95)\/(-76)*16\/(-36)*(24\/(-100))\/(-1)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (-50 + 54) - -28.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a**2 - 2*a + 614. What is c(0)?\nAnswer: 614","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a litre in millilitres?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -440 = -5*t + 4*v, -291 = -3*t - v - 2*v. Suppose 5*m = t + 28. Solve -p + 9 = 5*k - 3, -5*p = -3*k + m for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 765351784?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -5*x + 2, 0 - 14 = -5*b - 3*x. Let k(f) = -b*f + 4*f - 3 - f. Let n be k(4). Which is greater: n or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7745.628 weeks?\nAnswer: 4684555814400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -6*d**2 - 76*d + 5 + 76*d - 1 + d**3. Let l be s(6). Suppose 1\/5*m**l + 0*m**2 + 0*m**3 + 0*m + 0 = 0. Calculate m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6354 (base 11) to base 10\nAnswer: 8408","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**3 + 3*n**2 + 3*n + 3. Let s(q) = -14*q + 101. Let c be s(7). Give p(c).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((128\/(-384))\/(8\/6)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6576.52 millennia to months.\nAnswer: 78918240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1258 divide 74917450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 0 - 8. Suppose -5*t + y*t + 40 = -z, -3*z = t. What is the highest common divisor of t and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1057 + 2376. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 57 + -48. Sort -3, 0, g in descending order.\nAnswer: g, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10862*m**2 + 10871*m**2 - 4*m + m - 21729*m**2 - 112 + 0*m to the form w*m + h*m**2 + s and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3719.9 * 131\nAnswer: -487306.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 10:56 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 10*m**2 - 15*m + 12. Let w be y(12). Suppose -3*j + w = 2*j. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ixrx when four letters picked without replacement from kxikixkxxkktkkkkrk.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/44 and -83\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58 + -56. Let c(s) = -62*s**2 + 31*s**2 + 30*s**m. Let v(l) = -12*l**2. Determine c(v(i)).\nAnswer: -144*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -t + 3*t - 1962, 3*t + 1449 = 3*p. Let v = 2972 + -2970. Let b(i) = 5*i - 2*i**v - 3*i**2 - 487*i**3 + p*i**3. What is b(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3*t**2 - 259*t + 171. Let n be d(-81). Let p(f) = 85*f + 1. Let c be p(-5). Let x = c + n. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 95 and 23342?\nAnswer: 2217490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 13676?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -8*o**4 + 106*o**3 - 210*o**2 + 134*o - 22 = 0.\nAnswer: 1\/4, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*2\/8*10. Let a(l) = l + 9. Let r be a(-7). Sort 0, r, m.\nAnswer: m, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102\/(-15) + 7 + 22077\/15.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v + 1. Let p be d(-1). Let t(o) = 23*o + 787. Let s be t(-34). Suppose -5*b + 50 = s*i, p*b + i - 25 = -2*i. Solve 3*l = b*l - 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 26 - 688 = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vd when two letters picked without replacement from {z: 2, d: 1, e: 3, k: 1, a: 5, v: 1}.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 361690.\nAnswer: 2, 5, 7, 5167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 45 in 0.5, -119, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010254 to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 125.\nAnswer: 12.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2934864 by -2934864.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + 2*-1)*1. Let x be (j - (-2 + 3))*1. Suppose -9 = -3*m + 4*r, -3*m + 9 = -8*r + 5*r. Put x, 6, m in descending order.\nAnswer: 6, m, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 3 - ((-1 - -6) + -16)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 10*m**2 - 12*m + 4. Let q be s(11). Let r(v) = -v**3 - 6*v**2 + 7*v. Let i be r(q). Suppose 2*k = -i*k + 4. Solve k*f = 3*f + 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 610\/9 + -68. Let n = 0.124 - -439.876. Let b = 440.4 - n. What is the smallest value in b, m, -4, 1\/15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45*s**4 - 47*s**3 + 133834*s**2 - 1 wrt s?\nAnswer: 1080*s - 282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/(sqrt(4) + sqrt(144)))\/sqrt(7).\nAnswer: sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5853965 * 2.\nAnswer: 11707930","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-2)*132\/(-18). What is the greatest common divisor of 319 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 442136 is divided by 2597.\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 195687?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -79.5276919 rounded to two decimal places?\nAnswer: -79.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 268024?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112 and 204190?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/3))**36\/(t\/(((((((t\/((t**(-1\/2)\/t)\/t))\/t)\/t)\/t)\/t)\/t)\/t)*t**(1\/7)) assuming t is positive.\nAnswer: t**(117\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-224)\/(-24))\/1*(-1548)\/6622.\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of r**6\/105 + r**5\/70 - r**4\/42 - r**3\/21 - 5*r. Factor f(o).\nAnswer: 2*o*(o - 1)*(o + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 160954286, 321908569, 482862852, 643817135, 804771418?\n\"Answer: 160954283*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**4 + 64*h**3 - 100*h**2 - 168*h.\nAnswer: -4*h*(h - 14)*(h - 3)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - d. Let f(u) = -4*u**2 - 4*u + 5. Suppose 0 = -47*k + 49*k - 110. Suppose k - 56 = v. Determine v*f(l) + 6*q(l).\nAnswer: -2*l**2 - 2*l - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -57 + 65. Calculate the remainder when 9\/1*40\/12 is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((((w\/(w*w**(3\/2))*w)\/w)\/w*w)\/w*w))\/w**(-2\/9)*((w*w\/(w**(1\/6)*w))\/w)\/w**(-1) assuming w is positive.\nAnswer: w**(32\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand n - 2*n + 7*n + 2 - 2 + 2*n - 3*n + n + n - 3*n + 5*n - n + 5 - 5 + n + (-4 + 1 + 1)*(-3*n - 4*n + 5*n).\nAnswer: 13*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-20) - (-138)\/10. Suppose 4*m = 11*m - f. Suppose -m*q + 8*q = 0. Solve 2*n + q*n = -8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 133720296 and 1928?\nAnswer: 1928","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/50577 and 9\/12863417.\nAnswer: 38590251","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*y = 41*y. Let z(x) = 4*x + 6. Let r(l) = 9*l + 13. Let d(h) = 3*r(h) - 7*z(h). Give d(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2589, -5450, -8227, -10878, -13361, -15634, -17655?\n\"Answer: 7*z**3 - 2910*z + 314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*s**5 + 1 - 4 + (-s**3 - s**3 + s**3)*(14*s + 7*s**2 - 6*s**2 - 3*s).\nAnswer: s**5 - 11*s**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 3, -1\/29, -20.95?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18162 and 55881.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(24\/11)*r**(-1))\/(r**(-3\/10))**4 assuming r is positive.\nAnswer: r**(131\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -39*x**3 + 16*x**2 + 27*x + 1. Let c(k) = 15*k**3 - 8*k**2 - 13*k. Give 5*c(b) + 2*j(b).\nAnswer: -3*b**3 - 8*b**2 - 11*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 274404 is divided by 3397.\nAnswer: 2644","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 120454001 + -5?\nAnswer: 120453552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from -512937345326.\nAnswer: -512937345323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -254505656 divided by -2.\nAnswer: 127252828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -36, -54, -72?\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 19602\/21296 + 12\/(-22). Suppose -q + 4 = 1. Let t be q\/2 - 7\/4. Which is smaller: t or y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -29 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.88 and -0.92281744.\nAnswer: -2.80281744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5788.782 rounded to the nearest one hundred?\nAnswer: 5800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4\/901 + 24895\/127942. Find the common denominator of m and 14\/213.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149650?\nAnswer: 2, 5, 41, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x, 1 y, and 1 k when four letters picked without replacement from ykxkxfaayzazafkkfx?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**2. Let l(g) = -10 - 26*g**2 + 36 - 24. Determine q(l(y)).\nAnswer: 1352*y**4 - 208*y**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 3*g = 30, -2*i - 1000*g + 996*g = -16 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -21. Let q = p + 17. Differentiate -2 + q + x + 1 wrt x.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b20e (base 15) in base 8?\nAnswer: 254226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14*r**2 - 272146*r - 9125919 wrt r?\nAnswer: -28*r - 272146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5828442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 2*p + 13 = p, 0 = 14*i + 2*p + 66 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15018\/25 smaller than 600?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -290530 to the nearest one thousand.\nAnswer: -291000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 11:58 PM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x**3 - 4*x**2 - 7*x. Let k(h) be the first derivative of 44 - 3\/2*h**2 + 1\/2*h**4 - 2\/3*h**3 + 0*h. Determine -5*k(g) + 3*y(g).\nAnswer: 2*g**3 - 2*g**2 - 6*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1172, 4\/7, 3, -1?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = 28*q - 120 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 829675, 829686, 829703, 829726?\nAnswer: 829755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -48\/12265 (c) -3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 < -7.27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a meter in millimeters?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(405) + -2)*-4 - (sqrt(405) - (sqrt(405) + sqrt(405)*-2*4)))*4 + -4)**2 + 5.\nAnswer: -1016064*sqrt(5) + 33630741","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49 + 124. Let y = 80 - u. Let d = -1 + 5. Which is the nearest to -2\/19? (a) -0.2 (b) y (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16817 (base 15) to base 16.\nAnswer: -11bf9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -0.051\nAnswer: 0.0102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52594\/7 + 7514. Let l be (-24)\/(-14)*(-6)\/(-9). Factor -2\/7*b**4 + 0 - p*b - l*b**3 - 10\/7*b**2.\nAnswer: -2*b*(b + 1)**2*(b + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 4 + (0 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**3 + 47*c**2 - 37*c - 301. Let k be y(-24). Solve 4*p - 17 = 3*a, -7*a - 4*p + 20 = -k*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 51*d - 47*d. Calculate the lowest common multiple of 3 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3, 5, -4, -6, 17, 156\/41?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 16 + 19*m - 28*m + 10. Let q(i) = -18*i + 53. Let g(v) = 5*j(v) - 3*q(v). Let z be g(5). What is the greatest common factor of 24 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -120*d. Let i(u) = 54*u - 42. Let r(l) = -5*l + 4. Let p(x) = 4*i(x) + 42*r(x). What is c(p(w))?\nAnswer: -720*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 f when four letters picked without replacement from oofofofo?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 205 = -12*t. Factor 8 - 46*y + 93*y + t*y**3 + 2*y**4 + 16 + 9*y + 46*y**2.\nAnswer: 2*(y + 1)*(y + 2)**2*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**10\/(t*t\/t**(-3\/10))*((t\/(t*t**(-3\/4)))\/t)\/(t*t*t*t**4*t) assuming t is positive.\nAnswer: t**(-11\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 + 9*a + 686. Let u be s(31). Suppose 8 + 4 = 4*g. Let c be g\/2*128\/6. Solve -20 = u*z - 8*z, 3*w = -4*z + c for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/31? (a) 0.01 (b) 5 (c) -2\/3 (d) -3 (e) 45917\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 469 divided by 1.\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 53800274*i - 53800265*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7003*k - 2241.\nAnswer: -7003","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*f + 57*f = 2*v - 46684, 3*v = 5*f + 70021. What is the thousands digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 15218026*j**2 + 1 - 15222671*j**2.\nAnswer: -4645*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57528?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -244, -243, -232, -205, -156, -79, 32?\n\"Answer: q**3 - q**2 - 3*q - 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 1 + 4)*(-50*l - 289 + 289 - 2*l + 2*l - 2*l + (4 - 5 + 2)*(0*l - l + 0*l)).\nAnswer: 265*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 49, 79, 109?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -442 (base 10) to base 12.\nAnswer: -30a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -901, -999, -1171, -1417?\n\"Answer: -37*f**2 + 13*f - 877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -111 + (-63 - -312 - 106).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 139486541?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -17. Let j be ((-52)\/(-12))\/(2\/(-18)*-3). Suppose 0 = f + j - 16. Solve 0 = -r*n + f*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - f + 1. Let b(x) = x**3 - 3*x**3 - 4 + x**3 - 4*x**2 + 4*x. Suppose 4*j + 0*j + 7 = 5*t, 0 = 3*t + 4*j + 15. Give t*b(z) - 4*c(z).\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 19964355 divided by -6\nAnswer: -6654785\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1026 + 1027. Does f = 0.014?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 f, and 1 h when three letters picked without replacement from {y: 2, k: 1, h: 1, f: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -f**2 - 9*f - 1740. Suppose 0 = -5*z + 4*w - 15, z = -4*w - 12 - 15. Calculate l(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 + -0.8. Let n = m + 0.8. Let f = 2.6 + -3. Which is the closest to -0.1? (a) f (b) n (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 1. Suppose 10 = 5*s - 5. Solve -3*u - r - 4 = s*w, -w = -4*u - 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/((-3)\/(-6)*4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20\/8*6\/5. Let g(v) = -90*v**2 - 4 - 7 - 2*v + v**3 + 97*v**2 + 0*v**r. Calculate the remainder when g(-5) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117) + -4 + 0 + sqrt(117) + -4.\nAnswer: -8 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39718886087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 3 = 2*z. Let d(j) = 0*j**2 + 11 - 4 + 3*j + 3*j + j**z - 6*j**2. What is d(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 51*w**2 - 608*w - 381. What is x(61)?\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -36*r**3 - 2*r + 2. Let l(q) = -q**3 + q - 1. Suppose v - 693 = 4*d - 686, -4*d = -5*v + 3. Determine d*l(i) - k(i).\nAnswer: 38*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163422494?\nAnswer: 2, 409, 199783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -661 + 249. Let g = 13185\/32 + y. What is the second smallest value in 4, g, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a week in minutes?\nAnswer: 23520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*k + 18*k - k - 12 wrt k?\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9363 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 10:51 AM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 21*z**2 - 12*z + 33. Let c be r(3). Let n = 270 - c. Let o = n + -19. Calculate the highest common factor of 52 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*w**2 - 24*w**2 - 5*w**3 - 28*w**2 + 0*w**2 - 8*w**3.\nAnswer: -13*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(60)\/sqrt(5)*5*3 + (sqrt(15)\/sqrt(5)*6 - (sqrt(300)\/sqrt(10))\/sqrt(10)))**2.\nAnswer: 14700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 3*g + 0*g**2 + 2*g**2)*(3 - 7 + 2).\nAnswer: -4*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11758152 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-21)\/168)\/((-2)\/16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 11:33 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -4*i - 6 - 4, 0 = -5*i - 2*a - 12. Let x be (i + 1)\/((-1)\/17). Factor -8 - 6*v - x - 4*v - v**2.\nAnswer: -(v + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3 + 17*h - 8 - 27*h with respect to h.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-4) - (-72)\/32. Suppose -7 = o - 3*h, -4*o = t*h - 7*h - 4. Let k = o + -5. Solve k + 6 = 3*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-8 + (7 - -8))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/13 + 428*g\/13 - 8448\/13.\nAnswer: -2*(g - 192)*(g - 22)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 4*j**3 + 5*j**2 + 12*j. Let y(l) = -4*l**3 - 4*l**2 - 11*l. Determine -4*a(z) - 5*y(z).\nAnswer: 4*z**3 + 7*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 10*v + 214. Let q be r(-21). Solve t + 2*z = -5, t - 28*z + q = -29*z for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.2, -2\/11, -54, -0.3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 2*b + 7 = r, -5*r - 5*b + 15 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/16, 4, 5, 2\/7, 1\/308, -2\/7 in descending order.\nAnswer: 5, 4, 2\/7, 1\/308, -1\/16, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47*a**2 - 37*a + 92*a**2 - 45*a**2 + 2*a**3 wrt a.\nAnswer: 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -6.5. Let j = 1054.5 + -1057. Let b = i + j. What is the nearest to -1 in 0.3, -2, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46 - -42. Let h be 6\/(-10) - -13*d\/(-20). Suppose -q = -h*q. Solve 3*k - 13 - 4 = -5*f, -3*k + 4*f + 8 = q for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 107\/62712?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 23, 27, 33, 41?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 39*j*k*z - 2*j*k + j*z + 2*k + z + 86 wrt j.\nAnswer: 39*k*z - 2*k + z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001300778556 to 7 dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 28*y**2 + y + 33. Let j be g(-28). Suppose j*q - 244 = 6. What is the greatest common factor of 275 and q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3020 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxg when three letters picked without replacement from {d: 5, r: 2, u: 1, x: 6, g: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1568.8 - 1567. What is the third smallest value in p, -3\/8, -0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -1\/8*u**4 + 0*u + 0 - 1\/2*u**3 + 2*u**2. What is the derivative of g(j) wrt j?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, o: 2, z: 1, q: 1, m: 2, t: 2}. Give prob of picking 1 m and 1 o.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -314 (base 6) to base 16.\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.037 and -349?\nAnswer: 12.913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.23824 rounded to 1 decimal place?\nAnswer: 8.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 2*w - 15 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3107 - -3102. Sort w, -0.056, 4, -13 in decreasing order.\nAnswer: 4, -0.056, w, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-26))\/((-3830)\/4979)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41116*w**2 - 135*w - 3 + 41466*w**2 - 83101*w**2 + 3 wrt w?\nAnswer: -1038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s**3 + 523*s - 12*s**4 - 521*s - 4*s**4 as y*s + q*s**3 + i*s**2 + b + o*s**4 and give o.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -2. Suppose u + j*u = 0. Suppose -3*g + 0*g + 27 = u. Is g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3303 is divided by 376?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - 3. Let i(l) be the third derivative of -l**5\/60 - 11*l**4\/24 + 19*l**3\/6 - 11*l**2. Is 5 a factor of i(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + -24. Suppose -5*f + 120 = -h, g*h = -f + 3*h + 38. Suppose f - 8 = 3*q. Calculate the remainder when 9 is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4252002415 + -1?\nAnswer: 4252002414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2570581.84 rounded to the nearest 10000?\nAnswer: -2570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.25 - 38.\nAnswer: -37.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cleeeeesrenls. Give prob of sequence lese.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7868513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5.94, -0.4 in increasing order.\nAnswer: -4, -0.4, 5.94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 87200\/(-26160)*-28*-1*(-24)\/(-28)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 76*k - 78*k. Let d be (k + 18)\/((-2)\/32). What is the units digit of (17\/(-2))\/(116\/d - -7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 2*r - 4 + (-4 + 2 + 3)*(3 - 7 + 3)*(-58*r - 4*r - 104*r) to the form a*r + j and give a.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from {z: 8, y: 3}?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 325783.\nAnswer: 325783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n + 211 - 186 - 5*n.\nAnswer: -n + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-64)\/144 - 2166\/(-5643).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (0 - 4)) + 9 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 113816 and 8534232?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 2 - 18. Let r be a\/(-20) + -63863*3\/12. Is r\/(-18)*(1 + 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (83\/(-1826))\/((3\/(-4))\/(12\/(-8)))\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-225)\/675*(-12)\/62.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2525.9 in -0.4, 3, 74, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 109300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/(-15))\/((-64)\/160)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -8, 8, 30, 58, 92, 132?\nAnswer: 178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 7*f**2 - 5*f - 7. Let b be c(8). Let h = 3 - b. Find the common denominator of ((-11)\/(-24) - 1)*h and -13\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 997040.03 to the nearest 10000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 565 = -683. Suppose 3*t + 222 + j = 0. Let l = t - -267. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 14, -5, 0.07, -2\/21?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 10 = 2. Solve -q = 10*g + 28 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66181.\nAnswer: 17, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5\/3, -3, -7655?\nAnswer: -7655","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*i + 39 + 103 = -1482. Calculate the highest common factor of 3886 and i.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -167 + 148. Put y, -6\/7, -0.4 in descending order.\nAnswer: -0.4, -6\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) 0.5 (c) -0.268 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -15, -6967, 2, 0.02 in descending order.\nAnswer: 2, 0.02, -5, -15, -6967","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 354136043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7\/(168\/(-81)) + 77\/22. Which is the nearest to -2? (a) 1\/5 (b) -223 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 38\/5 + 14\/35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -5\/2, -37 in decreasing order.\nAnswer: -5\/2, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u - 3*u**4 + 42*u**3 - 2*u + 2*u**4 - 62*u**3 + 22*u**3 - 8*u**2 to the form w*u**2 + g + d*u + q*u**3 + k*u**4 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(-3\/7)*v**(-10))\/(v*(v*v\/v**(1\/4))\/v*v)**(-2\/29))**(-46))**(3\/14) assuming v is positive.\nAnswer: v**(234807\/2842)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, -2\/11, 133?\nAnswer: 133","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/59))**(2\/35)\/(f**(-21\/5)\/f**(2\/81)) assuming f is positive.\nAnswer: f**(706967\/167265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 2 - 2 + (2*n + 0*n + 0*n)*(5 - 2 - 2) + 14*n - 4*n + 2*n)*(-n + 3*n + 4*n).\nAnswer: 90*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -3*d + d + 1, 0 = -3*d - 3*j - 3. Suppose s + d = 4. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 340, 342, 344, 346?\nAnswer: 348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.98 - -4. Let i = v + 0.28. What is the nearest to 1 in i, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-9)\/6*8\/3. What is the nearest to 3\/4 in 2, r, -1, -6\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16309 divided by -2\nAnswer: -16309\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 + 0\/(-1) + 3. Let s(k) = k**3 - 8*k**2 - 3*k - 3. Let m be s(r). Let y = 29 + m. Solve 3*x + 2*u - y = 0, x - 8 - 16 = 4*u for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 74.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -470 = -5*x - 4*v, v - 117 = 3*x - 382. Let s = 133 - 74. Let k = x - s. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21029893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0\/t**8*(t\/t**(-2))\/(t*t*t**(5\/4)))\/(t**(3\/8)\/(t**2*t))**(-26) assuming t is positive.\nAnswer: t**(-153\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.201, 2, -0.2, 4, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 63*a - 10)*(2*a + a - 2*a) + (-2*a + 6*a - 5*a)*(a - 2*a - a).\nAnswer: 65*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 117046559 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.358 in 0, 288\/7, 1, -26, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1106*u**4 + 13242*u**3 + 308920903 wrt u.\nAnswer: -4424*u**3 + 39726*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 4:02 PM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2244 = d, q - 5*d + 2244 = 5*q. What is the hundreds digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3 + 220*a**2 - 3645*a + 3420.\nAnswer: 5*(a - 12)*(a - 1)*(a + 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.4 * -8.8.\nAnswer: -47.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**7)**29*(a*a**(-2\/11))**(-18\/7) assuming a is positive.\nAnswer: a**(15469\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 3*z - 16. Let x be p(7). Let c = x + -9. Let i be -2*-1*(0 - -1). Solve -j + c*v = 0, -i*j + v - 2 = -7 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15750)\/1400)\/((-27)\/(-12))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**20)**29 assuming g is positive.\nAnswer: g**(-551)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 + 0*(-4)\/12. Let v(x) = 3*x**2 + 7*x - 6. Let d(i) = 2*i**2 + 6*i - 5. What is r*d(n) - 4*v(n)?\nAnswer: -2*n**2 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1259, 1993, 2691, 3353, 3979, 4569?\n\"Answer: -18*f**2 + 788*f + 489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*q - 5. Let h(r) = -r**2 - 8*r + 11. Let n be h(-9). What is the second derivative of q*x - x - 6*x**n + 4*x**2 wrt x?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.128 + -0.588. Let d = 0.35 + k. Which is smaller: d or 0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/7950 and 65\/477.\nAnswer: 23850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 29484123763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*p + 231 + 6209 = 0. List the prime factors of p.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9760685?\nAnswer: 5, 11, 177467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*v**3 + 11*v**3 - 27*v**3.\nAnswer: -30*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1002000012001 (base 3) to base 7.\nAnswer: -4565362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 48910819 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.59 - -10.1. Let h = k - 0.61. Which is the third smallest value? (a) -3 (b) 0.4 (c) 2 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 5*v**2 - 4*v + 5. Let j be b(6). Suppose j = 5*h + 7. List the prime factors of 6*(h - 2\/(-4)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 14, q: 4}. Give prob of picking 1 r and 1 q.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*c + z - 10, -3*c = 3*z - 21. Suppose -4*j - 289 = -17. Let p be -1*(-1 - (1 - j)). Calculate the highest common factor of c and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 4:04 AM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 122? (a) -2 (b) -4 (c) -0.11 (d) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -8623309800 to the nearest one million.\nAnswer: -8623000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**3 - 3*d**2 + 7*d + 5. Let b(s) = -s**3 + 2*s**2 - 4*s - 3. Suppose -2 + 28 = 2*m + 5*v, 5*m + 5 = 5*v. Calculate m*o(q) + 5*b(q).\nAnswer: q**3 + q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -8 + -383 + 430?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -35, -52, -79, -116, -163?\nAnswer: -220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1715)*1)\/sqrt(7))**2 + -3.\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339056.\nAnswer: 2, 21191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 116691473 to the nearest integer?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5*d**2 - d. Let k be g(1). Let j(a) = 5*a - 1. Let m be (8\/(-6))\/((-2)\/3). Let v(o) = m + o - 11 + 9. Give k*v(x) - j(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - n - 22 = 0. Let x = 99 - 153. Let y = x - -109. What is the greatest common divisor of n and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 3:04 AM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - 1 - -3) + 164. Let k = 292 - z. Let i = k + -103. What is the remainder when i is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 11830.4?\nAnswer: 35491.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 0*d - 21. Let z = 19 + d. Let r = 147.8 + -136.8. Which is the nearest to -0.1? (a) -5\/6 (b) r (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -z**6\/180 - z**5\/20 - z**4\/6 + 2*z**3\/3 + 4*z - 12. Let w(p) be the third derivative of o(p). Find j, given that w(j) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3 - 5*v + 4*v - 8. Let u be q(-3). What are the prime factors of 35\/u*200\/(-70)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 64*x - 63*x + 117*x.\nAnswer: -10*x + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**3\/9 + 4594*h**2\/9 + 2574992*h\/9 - 8101464 = 0. What is h?\nAnswer: -1162, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 3335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 (base 5) in base 12?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d + 517 = -7235. Suppose 5*v = 4*t - 453, -d = -5*t + 2*v - 67. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u + 77. Suppose -5*q + 0 = -3*h - 8, -2*h + 4*q = 6. Let c be -3 - h - 1 - 15\/(-5). What are the prime factors of t(c)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x + 1. Let w be v(3). Let l = w + 1. Let h = 20 - l. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -44? (a) -18 (b) -6\/13 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -16*d**3 + 14*d**2 + 7*d + 7. Let g(r) = -11*r**3 + 9*r**2 + 5*r + 5. Give -5*f(c) + 7*g(c).\nAnswer: 3*c**3 - 7*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.5 and -1304.\nAnswer: -3260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**3 + 1007*n**4 - n**3 - 999*n**4 - n**4 + 0*n**4 + 0*n**4 + (n**3 + 4*n**3 - 3*n**3)*(n - 5*n + 5*n).\nAnswer: 9*n**4 - n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 2, -4*a = 19*w - 21*w + 6. Let z = -28 - -40. Let r(h) = 2*h - 4. Let y be r(3). Sort a, y, z, 0 in descending order.\nAnswer: z, y, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1637 - 1563. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(-1\/2)*n))**(-4\/9)*((n\/n**(-1))\/n)**(1\/45))**43 assuming n is positive.\nAnswer: n**(-43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0110048 to 4 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12618.837 + -12648. Round c to the nearest integer.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 2*h - 0*h + 6, 6 = 5*x - 2*h. Let c = -130\/3 + 1297\/30. Which is greater: c or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*x**2 + 10 - 10)*(100 + 408 + 509).\nAnswer: 7119*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 416 in 0.08, -4, 1\/15?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -4*j - 2*x - x, 4*j - 112 = 4*x. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**2. Let x(l) be the second derivative of -l**6\/360 - 7*l**4\/12 + 10*l. Let s(h) be the third derivative of x(h). Determine a(s(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 6) to base 15\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -81398623*a**2 + 61*a - 1096092 wrt a?\nAnswer: -162797246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**3 + 5*p**2 - 1 + 2*p**4 + 4*p**3 - p**3 to a*p**2 + b + d*p**3 + q*p + u*p**4 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39851225 and 8.\nAnswer: 318809800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003321735572 rounded to six dps?\nAnswer: -0.000332","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9, -36, -45, -30, 15?\n\"Answer: v**3 + 3*v**2 - 43*v + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-28))\/((-5)\/1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23955885 is divided by 105.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 115 * -32172.5\nAnswer: -3699837.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 71 + -72. Let g(v) = 13*v + 35. Let x be g(-12). Sort -3, k, x, -2 in descending order.\nAnswer: k, -2, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 496958396.\nAnswer: -496958396.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -10, 5, 192, 75, -5, 4 in decreasing order.\nAnswer: 192, 75, 5, 4, 1, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 994863 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -41 and 0.06?\nAnswer: -2.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9 of a week in minutes?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from papmvvzvzzp. What is prob of sequence zp?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76, 116, 156, 196?\nAnswer: 236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-69 - 4 - 90)*(2*c**2 + 1 - 1 + (c**2 + 1 - 1)*(-2 - 1 + 4)).\nAnswer: -489*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.057501 to 1 dp.\nAnswer: 6.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 3:26 AM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 2*m + 66, 0 = -q - 3*q - 2*m + 60. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000158398 rounded to 6 dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16317659671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 7:28 PM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000735426 to six decimal places.\nAnswer: -0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -58*t**2\/15 - 4932*t\/5 - 16256\/15 = 0.\nAnswer: -254, -32\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, -36, -20, 14, 72, 160?\nAnswer: 284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1.26 (b) 1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*i**3 - 3*i**3 + 5*i**3 + (-3*i - i + 3*i)*(28 + i**2 - 28) as q*i**3 + z*i + a + x*i**2 and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**3 - 4*z**3 + 160 - 66 - 99 + 4*z**3 - 4*z**3.\nAnswer: -8*z**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 36851820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -3855?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -432 - -434.97. Let j = -16 + 15.97. Let n = o - j. What is the second smallest value in n, 0.1, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 + (17 - 40) - -40?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 1 + 1 = 0. Suppose b*f - 4*z + 10 = 0, -4*z + 5 = f - 2. Let l = -373 + 372. Is l at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 8. Let d be n\/3 + 1888\/(-12). Let s = -102 - d. Is s a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17.12 times -179810\nAnswer: 3078347.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -686*p - 117. Let a(w) = 343*w + 48. Calculate 5*a(y) + 2*o(y).\nAnswer: 343*y + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 0*k + 3*k)*(-2*k + 2*k + 2*k + (5*k - 4*k + 0*k)*(-7 - 10 + 3)).\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -85*h - 84*h - 1014 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 4*s - 26 = 0, -4*c = -s - 1141 + 1103 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 958, -2882, -13300, -33584, -67022?\n\"Answer: -548*b**3 - b**2 - b + 1508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -86, 0.05, 0.2, -27, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 93 + 137 = 0. Calculate the common denominator of 65\/8 and b\/(-84) - (-14)\/49.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 10:34 AM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 9. Let w = 20 + g. Suppose -c = 2*p - 25, -p + 63 = 3*c - 7. Calculate the remainder when c is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**3 - 5*l**3 + 3*l**3 + (740 - 326 - 313)*(5*l**3 - 5*l**3 + 3*l**3).\nAnswer: 302*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*p - 101*p + 120 = -164. Factor 2\/5*n - n**p + 0.\nAnswer: -n*(5*n - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11 and 3.7.\nAnswer: -40.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 8:29 AM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1198.21 + -1198. Which is the biggest value? (a) -1 (b) 7 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-4966)\/(-8))\/((-17)\/(-408)).\nAnswer: 2, 3, 13, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/60*-4 - 7\/((-42)\/6). Which is the second biggest value? (a) -0.2 (b) u (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.14*-4508.3.\nAnswer: 5139.462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 79\/5 - 77\/15. Which is bigger: t or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of 11*g**7\/105 + g**4\/12 - 19*g**3 + 107*g**2. Find the first derivative of w(z) wrt z.\nAnswer: 88*z**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55734 divided by 4?\nAnswer: -27867\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*p**2 - 230*p**2 + 213*p**5 - 59*p**2 wrt p?\nAnswer: 12780*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.037 times 53.849?\nAnswer: 1.992413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 7:34 AM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 85820564*b**2 - 22494764*b - 2.\nAnswer: 171641128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6196 + 6212. Let s = -5 - -9. Calculate the lowest common multiple of h and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3204\/5607*210\/4.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rzr when three letters picked without replacement from rzr.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 174 - 170. Suppose 183 = k*s - 301. Calculate the least common multiple of s and 88.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + 20 + -2 + 11 - -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21672 divided by -4.\nAnswer: 5418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001 (base 2) to base 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 + -37.2. Let r = 1.4 + q. Let p = r + -3.2. What is the smallest value in p, 0.4, -3, -3\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20302 (base 4) to base 11\nAnswer: -471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -94.1 - -74.1. What is the closest to f in -0.4, 1, 0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04221*-31529\nAnswer: -1330.83909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.917 * 0.1.\nAnswer: 0.1917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-28)*434\/279*-21*(-4)\/(-4)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-one quarters of a century?\nAnswer: 1275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -695*l + 2227*l - 815*l - 694*l.\nAnswer: 23*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 82714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23.7 - 160.7. Let x = h - -239. Which is bigger: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-760)\/570 + (-339)\/9.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**2. Let r(c) = -139*c**2 - 644*c**2 - c**2 + 88*c**2. Calculate r(f(q)).\nAnswer: -2784*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**2\/7 + 369624*s\/7 + 17077737672\/7 = 0. Calculate s.\nAnswer: -92406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -641*f**7\/210 + 148*f**3\/3 + 479*f**2. What is the derivative of y(x) wrt x?\nAnswer: -2564*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -0.3, 0.1, -0.165, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-3\/16))\/(t\/t**(1\/3))*(t\/(t\/t**(-16)))\/((t**5\/t)\/t) assuming t is positive.\nAnswer: t**(-887\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -37\/7306484 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 o when two letters picked without replacement from {f: 1, e: 7, x: 3, n: 2, o: 1}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 185aa5 (base 12) to base 6\nAnswer: 13035125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3292 or 2\/7?\nAnswer: -3292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -2, -5, 3, 0, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 32*v + 224. Let c be z(-23). Solve -31 = -16*l + c for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 2*u = 19 - 23, -b - 5*u = -22 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 7. What is the smallest common multiple of n and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59182.\nAnswer: 2, 127, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1472, 1471, 1470, 1469, 1468, 1467?\n\"Answer: -v + 1473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c - 1. Let m be ((-3)\/(-6))\/((-2)\/20). Let a be b(m). Suppose a + 3 = q. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4737 divided by 3?\nAnswer: -1579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2*j = 2*j. Suppose -6*g + 4*g + 8 = j. Let z be (-1)\/(g\/(-8)*1). Solve 0 = p + z*p - 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.1 + -1.07. Which is smaller: d or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -858 by 78.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 0*y = 0. Suppose 3*u + 3*r - 20 - 1 = y, -32 = -5*u - 4*r. Suppose -u*z + 2500 = z. Round z to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2880 - -2314. Put -2, 4, i, -2\/13 in increasing order.\nAnswer: i, -2, -2\/13, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/10)\/((-126)\/45).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00137504 to five decimal places.\nAnswer: 0.00138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -754*f + 2. Let q(p) = -3*p**2. Give u(q(c)).\nAnswer: 2262*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -s**4\/24 + s**3\/6 + 33*s**2. Let l(i) = -7*i - 16. Let o(t) = -l(t) + q(t). What is the tens digit of o(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 4*x + 15, -c + 3*x = -2*x - 3. Let w = c - -11. Suppose -h = -w*h + 237. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.596 to 1 decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -13*s**6\/6 - s**5\/10 + 233*s**4\/12 - 3*s**2\/2 + 4*s + 97. Find the third derivative of j(v) wrt v.\nAnswer: -1560*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i**3 + 11*i + 7. Does 49 divide p(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -61400000 to the nearest one million.\nAnswer: -61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -7*a**2 + 3*a + 5. Calculate q(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -357.0253 + 0.0253. Let x = j + 358. What is the nearest to -2\/5 in -0.04, 0.3, x?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1605758027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 61 (base 9) to base 15\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 5*a - 11. Let i be u(8). Let y(t) = -8 - 12 - 293*t + 17. Let k be y(-1). Calculate the greatest common divisor of i and k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5570 = 49*v + 2745 + 1600 for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**1)**(9\/5)*(((q**(3\/4)*q*q)\/q)\/q)\/q**(-6))**(1\/5) assuming q is positive.\nAnswer: q**(171\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uk when two letters picked without replacement from eoookkuoko.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r. Suppose m + 1 = 2*g - 4, -5 = 5*g + m. Let p(k) be the first derivative of g*k + 3 - 9\/2*k**2. What is p(a(d))?\nAnswer: 9*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 505*a**6*k**2 - 101071*a**3 + 3*a**2*k**2 + a**2 - 1144939*a*k**2 + 3 wrt a?\nAnswer: 60600*a**3*k**2 - 606426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 516652525.\nAnswer: 5, 17, 43, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13848, 4, 5 in descending order.\nAnswer: 13848, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**1*m*m)**(4\/7)\/(m*m*m**(2\/5))**(-3\/13)*(m*m\/(m*m\/m**(-3))*m*m\/m**(-5\/2))**41 assuming m is positive.\nAnswer: m**(59069\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fxx when three letters picked without replacement from xxfvxvv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2913 is divided by 34?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilogram in milligrams?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y + 1. Let o be f(-3). Suppose 2*r - o = -0*r. Sort -4, r, 3.\nAnswer: -4, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 528690902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -4*h - 2*n - 1800, 4*n - 1784 = 4*h. Let w = -4028\/9 - h. Is 0 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q**2. Let h(v) = 31*v. What is r(h(d))?\nAnswer: 2883*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 5*w**2 - 4*w + 2. Let o = 25 - 23. Let n be j(o). Is (n\/28)\/(2\/3964) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w**3 - 946679*w + 946679*w - 3*w**3.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(35\/7)*1\/(-1)*5\/(-295).\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8738771.\nAnswer: 37, 257, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**2 + 2*k - 2. Let m(i) = -i**3 + i**2 - 1. Let t be m(1). Let c(y) = -y + 1. What is t*d(j) - 2*c(j)?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11457 = -544*y - 39135 for y.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -r**7\/2520 - r**3\/3 - 3. Let j(g) be the third derivative of y(g). Factor j(b).\nAnswer: -b**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 7. Suppose -5*s + 4*s - 2*z - 66 = p, 0 = -z. Is (s\/(-8))\/((-2)\/(-8)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**3 + 256406*o**2 = 0 for o.\nAnswer: -128203, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -27 (c) -4\/7 (d) -2 (e) 14\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19305 = 2*y - 4*r - 19331, -5*r = 6*y - 7 - 3 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*9\/(-2)*(-7469)\/4074?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**2 - 121*m + 240*m - 119*m.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x + 10. Let c be u(-2). Let n(q) = 19 - 2*q - 12 - 10 + q**c. Give n(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 211111211 (base 3) to base 4\nAnswer: 10000123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 44*m**2 + 11*m - 12. Calculate c(1).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 51*u**2 - 5*u - 78. Let f(a) = 253*a**2 - 27*a - 429. Let k(m) = 11*d(m) - 2*f(m). Let b(y) = -24*y**2. Calculate k(b(q)).\nAnswer: 31680*q**4 + 24*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jssjjj. Give prob of picking 2 j.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a + 4*a - 2*o + 6*o + 34 + 42 = 0, 5*o - 10 = 0 for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22 - 42?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1 - (2 - 0)) + 121\/(-44) and -43\/462.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**3 - 5*p**3 + p**3 - 3 + 4 + 0*p**3 + 183*p**3 + (4 - p**2 - 4)*(0*p - p - 2*p).\nAnswer: 184*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8273 + -20630. What is w rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*i**2 - 26*i - 2*i - 8*i + 36*i.\nAnswer: 11*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 810435 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 - -37. Suppose -5*h + 36 - y = 0. Suppose 4*c - 5*g - 172 = -3*g, 4*g = -h*c + 202. Calculate the highest common divisor of 168 and c.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1045, -1044, -1043, -1042?\nAnswer: -1041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -15*p**3 - 8*p**2 - 6*p + 2. Let m(s) = 15*s**3 + 6*s**2 + 5*s - 2. Give -4*i(c) - 5*m(c).\nAnswer: -15*c**3 + 2*c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.8968 grams in nanograms?\nAnswer: 89896800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -1273898*u + 1. Let m be z(-1). Let g = 7601651\/6 - m. Let r = g + 6937. What is the common denominator of r and 10\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 9:31 AM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 11 + 7*q + (2 + q - 2)*(0 + 1 + 1)*(4 - 4 + 1) as l*q + j and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -v**4\/8 + 149*v**3\/6 - 13*v**2 + 24. Let h(a) be the second derivative of o(a). Is h(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 2.592705\nAnswer: 6.592705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5843621847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 3682.5127 to the nearest one hundred.\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 2*v**2 + 2*v + 3. Let o(k) be the second derivative of 1\/6*k**3 + 39*k + 0 + 1\/12*k**4 + 1\/2*k**2. What is j(q) - 3*o(q)?\nAnswer: q**3 - q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/16335 and -43\/22.\nAnswer: 32670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (16\/(-12))\/((-4)\/9). Suppose -4*r + 2*v - 290 = r, -3*r - 174 = -h*v. Does 5 divide r\/(-2 + 2 + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 1. Let v be 0\/(-2*o\/(-2)). Suppose 6*i = i + 4*p - 16, v = -i - 3*p - 7. Let a(z) = z**2 + 3*z - 4. What is a(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17997, -17983, -17969, -17955, -17941, -17927?\nAnswer: -17913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2659430 and 380?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -77\/6*d**3 - 7*d + 41\/12*d**4 - 2 + 0*d**2. What is the second derivative of n(s) wrt s?\nAnswer: 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-6))\/(66\/18). Let l = 5 + -1. Put l, -1, s in decreasing order.\nAnswer: l, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (46\/(-460))\/(29\/(3480\/(-16))*1*9)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/8 and -157\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/27 and -97\/315.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24583571 is divided by 12291712.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 17371561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 128227 divided by -128227?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3014507 and 956?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6480) + 3 + -1 + sqrt(6480) + sqrt(6480))**2.\nAnswer: 432*sqrt(5) + 58324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + k**5 - 2 + 2*k**3 - 2*k**3 - k**5 + (2*k**3 - 3*k**3 + 3*k**3)*(-3*k**2 - k**2 + 2*k**2) + (-9*k**2 - 1 + 1)*(12*k - 12*k + 34*k**3).\nAnswer: -310*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.2025383 milligrams?\nAnswer: 202.5383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4126 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 364 + 1202. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -75 + 114. Let y = 45 - k. What is the remainder when 30 is divided by (-400)\/(-24) + 2\/y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(63\/14 + -3) - -8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - -14) + ((-486)\/2673 - (-1 + (-68)\/11))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((616\/(-10))\/(-14))\/((-2)\/(-3035)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/10)\/(3423\/(-45640))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 4*u + 0*u = 0. Suppose 4*q + 0*q = 0. What is the closest to u in 0.4, 5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(637) + 3 + sqrt(637))**2.\nAnswer: 140*sqrt(13) + 2573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 119\/(-1547)*((-90)\/(-9))\/(-10)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 80725 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 5*f = 20, -3*d + 14 = -7*f + 6*f for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6166.\nAnswer: 2, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/1066*12012\/2772.\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.30000302 + 5.3. Round b to 7 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vuvuuvuluovuuvvvv. What is prob of picking 1 v, 1 l, and 1 o?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w - 9. Let p = 15 - 21. What is the units digit of s(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.6 - 4. Let g = -0.9 + -2.1. What is the smallest value in g, i, -5\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a1 (base 13) to base 12.\nAnswer: ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and 0.4797.\nAnswer: 0.9797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -79582.\nAnswer: 7958.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + 3 + (7 - 2). Suppose o - 4*o = 2*f + 6, -z*o = 4*f + 8. Suppose -8*t + 7*t + 7 = f. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -92232211 and -27.71?\nAnswer: 92232183.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 212833 divided by 6?\nAnswer: 212833\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*y**4 - 58*y**4 - 3*y**4 + (-3*y**2 + 2 - 2)*(-2*y**2 + 1 - 1) in the form i*y**2 + a*y + h*y**4 + z*y**3 + o and give h.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -339 + 339 + 2*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 18*g**2 - 66*g - 8. Let y(w) = -2*w**2 + 18*w + 7. Let r be y(10). Let x be c(r). Solve -x*j - p = -2, -5*j + 7 = 2*p + 3 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 7:17 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 193 + -189. Let v = -17 - -33. Calculate the greatest common factor of v and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 497 a factor of 773339743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3157*b - 14. Let k(h) = -1052*h - 5. Determine 3*i(g) - 8*k(g).\nAnswer: -1055*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 99 = -4*t, t + 4*t + 3*u = -115. Let h = 31 + t. What is the smallest common multiple of h and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-350520)\/20447*(-28)\/130?\nAnswer: 48\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6ab0 - -5?\nAnswer: 6ab5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 1229\/115 and 11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3957710851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1098 rounded to the nearest ten?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.7 rounded to 0 dps?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 26041063 to the power of 1\/2, to the nearest integer?\nAnswer: 5103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62415.\nAnswer: 3, 5, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -337 (base 10) to base 12\nAnswer: -241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138631 is divided by 835.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 - 19. Is 23 a factor of (n\/56)\/((-4)\/(-14))*92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + v**2 - 7*v + 12. Let y be c(2). What is the hundreds digit of ((-32)\/(-10))\/(y\/1175)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4576709 is divided by 186.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 - -39. Let v = x + -20. Let j(b) = 3*b + 4. Let d(u) = -6*u - 8. Let y(o) = 4*d(o) + 7*j(o). What is y(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 128*m**2 + 252*m + 1. Let s be l(-2). Solve s = -3*z, 2 = 3*b - 5*z - 25 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 70 + -62. Let s(h) = 2*h - 10. Let f be s(k). Find the first derivative of f*g**2 - 7 + 5 - 11 - 8 wrt g.\nAnswer: 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1911026.7 rounded to the nearest ten thousand?\nAnswer: -1910000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l**2*m*w**3 - 2*l**2*m + 22*l**2*w**2 - l*m - 45*l*w**3 + l*w**2 + 25*m*w**3 + 3*m wrt w.\nAnswer: 6*l**2*m - 270*l + 150*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7*(-2 - 126\/(-49)). Solve -16 = 3*p - q for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -201, -387, -571, -753, -933?\n\"Answer: x**2 - 189*x - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 5*z + 33 - 14, 5 = 5*s. Let t = 2\/225 - -16\/75. What is the third biggest value in z, -5, t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 5*x - 184 = 0. Let l(t) = -t**3 + 5*t**2 - 45*t + 183. What is the remainder when x is divided by l(4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -4*k - 23*r + 25*r, -2*k - 4*r + 20 = 0. Solve -2 = 12*l - k*l - 2*y, 2*l - 3*y - 12 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -6830*g + 6823. What is p(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000071898058 to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2096975 rounded to three dps?\nAnswer: 1.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m**2 - 35*m + 4. Determine k(11).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 17 = 3*l - 0, -3*f + 15 = 3*l for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 64*p + 1422. Let d be o(-19). Sort d, 0, -1 in ascending order.\nAnswer: -1, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2970979492.\nAnswer: 2, 13, 57134221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/6)\/(6\/(-9)). Solve -r + 6*m - k*m - 4 = 0, 2*r + 8 = -m for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*q - 4*q + 2*q)*(-2 + 0 + 1) + (6*q - 4*q - 3*q)*(0 - 2 + 3) - q + q + 4*q)*(2*q - q + q + (0 + 0 + 2)*(3*q - 5*q + 4*q))*(-134326 - 293*q + 134326).\nAnswer: -1758*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -35, -91, -131, -119, -19, 205?\n\"Answer: 6*m**3 - 28*m**2 - 14*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 330401278?\nAnswer: -330401280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 4. Let q(x) = -x**3 + 5*x**2 - 4*x - 4. Let u be q(4). Suppose -298*o + 146*o + 147*o = -25. Sort h, u, o in ascending order.\nAnswer: u, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 256045 - 3?\nAnswer: 256042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1062 by -2.\nAnswer: -531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -28116 not equal to 1492?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8806780 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 400 is divided by 142?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7332 and 106314?\nAnswer: 212628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-3)\/n)\/n*n*n\/(n\/((n*n*n\/n**(-2\/15)*n)\/n)))**(-47)*((n**0)**7)**(1\/2) assuming n is positive.\nAnswer: n**(611\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 28*y - 155. Let z be i(-22). Let s(t) = -8*t - 184. Let v be s(z). Solve v*w - 2*w - 2*q = 8, -w + 6 = -q for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 32. Calculate the highest common divisor of s and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3*j**3 - j**2 + 5*j + 5. Let q be w(-1). Which is the closest to q? (a) 2\/9 (b) 5\/6 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-481)\/1443*10\/(-3).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 147873 and 147873?\nAnswer: 147873","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.7537*-0.02.\nAnswer: 0.155074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -414462 - -687251. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + -74815109?\nAnswer: -74815109.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 220 - 380. Let z = -92 - l. Is 19 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/3)\/(2\/6). Let m be 7 + (-1 - 0) + -3. Let x = m + z. Is 5 bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.087 equal to 727?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(3 + 27\/(-12)). Suppose 12*h - 24 = j*h. What is the third derivative of -2*z**2 + 2*z**2 - z**2 + 2*z**h + z**6 wrt z?\nAnswer: 360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 3\/5, 4\/3, -11\/3, -0.5?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 192*s - 6. Give h(1).\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-1\/9))\/(d\/d**1))\/((d**(1\/7)\/d)\/d*d*d\/(d\/((d\/(d\/(d*d**(-2\/9)))*d)\/d))) assuming d is positive.\nAnswer: d**(25\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -414*x - 114*x - 26490 = 20*x + 29954 for x.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from {l: 5, m: 1, n: 4}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z - 28974 = -28924 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wuuwwjjjw. What is prob of picking 2 j and 1 w?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5 + 5 - (-255)\/15. Let i be -3 + -2*(-61 - 0). Calculate the highest common factor of i and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -91992*y**5 + 129191*y.\nAnswer: -1839840*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -13684*m + 82108. Give l(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*w + 2. Suppose -z + w*k = -6*z, 0 = z - 3*k - 17. Let i be 4\/6 + (-2)\/3. Solve 4*x + 5*o = 14, -4*x + i*o = -z*o for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 5:14 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 97150590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 3:29 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7160798 divided by -653?\nAnswer: -10966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*z - 0. Suppose 0*v + 4*j - 412 = -4*v, j = -4*v + 409. Let q = v + -82. Solve 5 = 3*b - z*n + 25, -2*b = -3*n + q for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62008561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*n + 24*n + 68*n + (0 - 5 + 3)*(2 + n - 2) + 6*n - 3*n - 4*n - 2*n + 0*n + 0*n as l + d*n and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*z + 1662 = 2287. Let p(c) be the second derivative of 1\/6*c**4 - z*c - 1\/20*c**5 + 0*c**2 - 1\/6*c**3 + 0. Factor p(g).\nAnswer: -g*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -292*i + 75096 = -3868*i for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -404192 divided by 68\nAnswer: -5944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 - ((-3)\/3 + 3). Suppose 2*v = h*x + 16, 5 = -3*v + 4*x + 31. Suppose 2*d + v = -w + 21, -w + 22 = 3*d. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 3*m + 2*m)*(96*m**4 + m**4 - 55*m**4).\nAnswer: 42*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -10, -25, -50, -85, -130, -185?\n\"Answer: -5*a**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.89? (a) -876 (b) 0.3 (c) 2\/65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2\/3*(-126)\/28\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-8) - (-3)\/(-4). Let i = 9 + r. Suppose -x + 3*s = -6, -54*x - 2*s = -56*x + 20. What is the greatest common factor of x and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-4)*6\/1. Let v = -3 + w. Suppose 0 = -v*u - u + 14. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 5*v + 5 = a, -5*v + 5 = -5*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/(-2)*(39 - -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, w: 1}. What is prob of picking 1 q and 1 w?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 645114 > 645112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 603 = a + 2*k, 2*k = 6. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*d - 13*d + 86. Let u = d + -39. Let o = 26 + -23. Put u, 5, o in descending order.\nAnswer: 5, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 26 - 54. Suppose -5*y + 4 - a = 0, 0 = -2*c - 3*y - 6. Solve 6 = 6*p - c*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*n + 160*n + 24000 = 558*n + 232*n for n.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7842371*v**2*y**3 + 490*v**2*y**2 - 46*v**2*y - 24*y**2 wrt y?\nAnswer: -47054226*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of k**4\/3 + 2*k**3\/3 + 3*k**2\/2 + 16*k. What is the units digit of m(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c + 6. Let m(p) = -1. Let o(b) = -2*m(b) - 2*s(b). Let r be o(-4). Let h(j) = -j**3 + 12*j**2 - 3*j + 5. Is h(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w + 1. Let s be r(-3). Let o(h) = -h - 4. Let d be o(-4). Suppose d = 3*f + 3*n - 66, -f - n + 38 = s*n. Is 9 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.41 - 2.4. Let q = z - 0.81. Is 1\/2 greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40 - -42. Find the second derivative of 35*d - w*d**3 + 48*d**5 - 20*d**5 + 2*d**3 wrt d.\nAnswer: 560*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3.2, 3, 29 in increasing order.\nAnswer: -2, 3, 3.2, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyqi when four letters picked without replacement from {e: 3, h: 2, q: 2, y: 2, z: 1, i: 4}.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 230*n**2 + 413*n + 69. What is m(2)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 55 and -0.167.\nAnswer: -9.185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) 9 (c) 0.5 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b + 24 + 119 + 13*b**3 - 23*b**3 + 11*b**3 to the form l*b + s + z*b**3 + v*b**2 and give s.\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -4*d - d + 5*x, -5*d + 20 = -2*x. Let t(g) = g**2 + 2*g + 2. Let b(r) = -2*r**2 - 3*r - 3. Give d*b(q) + 3*t(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200928.\nAnswer: 2, 3, 7, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -3 - (-59 + 54)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 720?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 6*n + 4. What is the tens digit of y(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.33 + -0.03. Let r = 1.1 + w. Is r equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130043 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (10 - 2) - (18 - 21) - -1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -136?\nAnswer: -544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 11:50 PM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -11*p**2 - 18*p**2 + 6*p**2 - 4 + 3. Let c(y) = -2*y**2. Determine c(k(d)).\nAnswer: -1058*d**4 - 92*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 367.\nAnswer: -36.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(-6369)\/12 + 3\/6. Let y = 1508 + c. Suppose 5*r - 88 = y. What is the remainder when r is divided by 37?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22\/40047 in -0.05, -1, 0.3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -700*c**4 - 56*c**3 + 994*c - 56. Let d(j) = -j**4 - j**3 - j - 1. Let o(y) = -56*d(y) + p(y). Find the second derivative of o(k) wrt k.\nAnswer: -7728*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -5*s**2 - 3*s**2 + 3*s**2. Let u(y) = -3*y. What is q(u(p))?\nAnswer: -45*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 204?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, m: 3, q: 5}. Give prob of picking 2 m and 2 d.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/28 - 4\/(-16). Let i = 0.2 - 0.6. Let r = 1.4 + i. What is the nearest to r in m, -2, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 38, 5 in decreasing order.\nAnswer: 38, 5, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2175728 to the power of 1\/2, to the nearest integer?\nAnswer: 1475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 164435181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9791790 is divided by 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 618, 1234, 1850, 2466, 3082?\nAnswer: 3698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -921 - 925 - 922 + 2763 - 3*p. Let m = -3 - 2. What is z(m)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 616, 613, 614, 625, 652, 701?\n\"Answer: h**3 - 4*h**2 + 2*h + 617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 529.1398mg?\nAnswer: 529139800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 4*u**2 - 5*u + 1. Let w be x(-5). Suppose -j - 1 = w. What is the least common multiple of 2 and j\/((-1)\/4*2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3015793?\nAnswer: 11, 274163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m - 13. Let z be u(4). Let s be (3\/z)\/(1\/12687). Let p = -194543\/46 - s. Calculate the common denominator of -31\/14 and p.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*x**2 + 20576*x - 558468 = 0. What is x?\nAnswer: -5171, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 11*s**2 + 10*s + 2. Let j be p(10). Suppose 21 = 5*c + j*c. Suppose 5*a = -2*d + 501, -c*d = 5*a - 512 + 13. Does 24 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12 - (2 + 0)) + -6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f**3 + 15*f**3 + 34*f**3.\nAnswer: 55*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 3*s + 2. Let v(w) = -6*w + 6 - w**2 + 0*w**2 + 0*w**2. Calculate the remainder when g(-3) is divided by v(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 13400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 163 + 165. What is the greatest common divisor of 8 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*i**3 - 3*i**3 - 4*i**3)*(5 - 3*i - 5) - 3*i**3 - 2*i**2 - 367*i**4 + 368*i**4 + i**2 to the form g + m*i**3 + t*i + l*i**4 + n*i**2 and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 41*t**2 - 182*t + 476. What is u(4)?\nAnswer: 468","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bttbunzxz. Give prob of picking 1 b and 1 n.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 321981, 321984, 321989, 321996, 322005, 322016?\nAnswer: 322029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-1 - -2*((-115)\/(-10) - 6)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, -2\/3, 2\/17, 1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -0.924939833471\nAnswer: 1.075060166529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + 5d?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 72. Suppose -4*b = -5*t - 287 + x, -b - 3*t = -70. Is b a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000100000101000100100 + -11011?\nAnswer: -1000100000101000111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-14))\/((14\/1)\/98)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1000 + 1)*(-6)\/(-18)*-1 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f - 1. Let y(l) = -l**3 + 5*l**2 - l - 1. Let p be y(5). Give c(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifty-one fifths of a millimeter?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4 = -2*x + 29, -3*x + s = -31. Let y = -1 + 4. Suppose i = y*i + x. Let a(p) = -p**3 - 5*p**2 + 2*p + 6. Calculate a(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282687089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -460, 2, -8 in ascending order.\nAnswer: -460, -8, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m - 12. Suppose 23*d = 25*d - 6. Let p be d - (1 - 4)\/3. Let l be s(p). Solve -5*t - 21 = -n - 3*n, -5*n - 5 = l for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 6*f**2 + 2*f - 3. Let p(t) = -5*t + 163. What is the remainder when p(21) is divided by u(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -993024737*i**3 - 3*i**2 + 17185390 wrt i.\nAnswer: -5958148422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - 29512.\nAnswer: -29512.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5 (b) 2\/5 (c) 1\/4 (d) -1\/28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-3))**(-1\/20)\/(g**4*g*g\/(g\/(g\/(g\/(g*(g\/g**(-4\/9))\/g))))) assuming g is positive.\nAnswer: g**(-571\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 71795\/394 or 181?\nAnswer: 181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57822 is divided by 108?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 + -24. Factor -7*z**w + 14*z**3 - 8*z**4 + 4*z**2 - 21*z**3.\nAnswer: -2*z**2*(z + 2)*(4*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*p = 109*p + 5*a + 120, -5*p + 200 = -3*a. Solve 8*m + 0*m = -p for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-5 - (-44 + 26))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1323 (base 4) to base 13.\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/15*(-8)\/14*((-2520)\/48)\/15?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -444, -454, -486, -552, -664, -834, -1074?\nAnswer: -1396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*z + 3*d - 6*d, 0 = -4*d - 12. Does 5 divide 5 + z\/(5 - 7) + 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -488, -22, -4 in descending order.\nAnswer: -3, -4, -22, -488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 946*w = -967*w + 89911 for w.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -15, -22?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-15))**(4\/5) assuming i is positive.\nAnswer: i**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 1)\/(9 + -7). Suppose f = s + s - 314. Suppose -c + 3*m = -53, 4*c + 4*m = 5*m + s. Calculate the remainder when c is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 1:01 PM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -242 - -243. Let d be (-25)\/10 + (-1)\/(-2). Let w be (-3)\/d*1\/8. Which is smaller: w or b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + sqrt(432))*-5 + 2)*6 - (-1 + (sqrt(432) - (1*sqrt(432) + 0 - sqrt(432)))*4))**2 + 3.\nAnswer: 38352*sqrt(3) + 501604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -849, -6705, -22581, -53487, -104433?\nAnswer: -180429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/5 (b) 1 (c) -0.39 (d) -8\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - ((-8 - 2) + 4) - 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114466.\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2396 + -1137. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 3 = i, -92 + 124 = 2*w - 4*i for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 11, -6, -57, -160, -333, -594?\n\"Answer: -3*d**3 + d**2 + d + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 426 and 47002.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**34)**(-12\/7)*(y*y**(-37))\/(y\/y**42) assuming y is positive.\nAnswer: y**(-373\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -87.7116 to one decimal place.\nAnswer: -87.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 7.54, 3, -5?\nAnswer: 7.54","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 3:00 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + 40497)\/(5 + -3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 + -17.1. Let k = 16.9 + y. Let b = -0.1096 - k. Round b to 3 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-288)\/30 + -1 + (-2)\/5. Let y be (-32 - -1) + (-11 - g). Is 2 a factor of (-9)\/45 + y\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1060 - 1059.9. Which is the closest to x? (a) 2\/3 (b) 0.5 (c) -39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*l - 28*l + 60. Suppose m - 2*c - 59 = -l*c, 3*c - 380 = -5*m. What are the prime factors of m?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of 11*j**5\/5 + 8*j**2 - 15. What is the second derivative of v(i) wrt i?\nAnswer: 132*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 7. Let s = -5 + g. Which is the second smallest value? (a) s (b) 3\/7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 30*g**2 + 59*g + 296. Is s(33) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -i**5 - i**4\/4 + i**3\/2 - 12*i**2 + 9*i. Let t be r(-11). Round t to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221 - 112210022111100?\nAnswer: -112210022110102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 900*b - 225. Let m be d(6). Let z = m + 7666. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1673\/(-42) - (-1)\/(-6). What are the prime factors of (3312\/q)\/((-9)\/120)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + 4*a + 8. Let c be l(-2). Let x = 1 + 2. Is 7 a factor of -1*(-21)\/(c - x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 508*f - 30 + 14.\nAnswer: 508*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3\/2, -0.021, 1 in decreasing order.\nAnswer: 3, 1, -0.021, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0627 + 5.5173. What is h rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = o - 2*o - 4, -5 = -5*s for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3352624 divided by 1772?\nAnswer: 1892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**4 - v**3 - v**2 - 1. Let y(p) = -5*p**4 - 5*p**3 - 2*p**2 - 2. Let u(d) = 2*a(d) - y(d). Factor u(i).\nAnswer: 3*i**3*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -9 - (-13 + 17 + (1 - -9))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-12)\/(-20)*-5. Suppose 0 = 3*r - w*q - 3645, -3669 = 3*r - 6*r - 3*q. Suppose r = 4*c + 375. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1353618 and 28648?\nAnswer: 5414472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qkuuuuuuqu. Give prob of picking 1 k and 1 u.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 8*t**2 + 2*t + 11. Let u(p) = 2 - 5*p**2 + 12*p**3 + p - 11*p**3 + 1. Let m be u(5). What is the tens digit of c(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 835 = -5*z - 810, 0 = 4*z - 58*h - 294 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 5*h. Let a(q) = q - 11. Let k be a(18). Let j be u(k). Calculate the highest common factor of 126 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -32155 - 2?\nAnswer: -32201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -816, -810, -792, -756, -696, -606, -480, -312?\n\"Answer: m**3 - m - 816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssuv. What is prob of picking 2 u and 1 v?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -9. Let o be (3 + 3)\/(12\/(-16)). Let f be (-5 - (o - 16\/(-4))) + 3. Solve 0 = -3*b + 4*x - x - 9, -4*b + f*x - y = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 249887676?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6209782 + 786218. Round x to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -298 - 304 = -7*d. What is the remainder when d is divided by (0 - (3 + -28)) + -2?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1390.2975 months in centuries?\nAnswer: 1.15858125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*d + 5. Suppose -2*u = -d*u + 1. Suppose -3*w - 15 = -z, z = 4*z + 2*w - u. Solve 0*v + 3*q = -2*v + 8, z*v - q - 1 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 55 - 5250?\nAnswer: -51a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1389 - -5378. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -14*x + 713. Let k(f) = 26*f - 1421. Let n(r) = 8*k(r) + 15*u(r). Differentiate n(w) with respect to w.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 40189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 375104 at most 375105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_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 a(f) = f**2 + 47*f + 244. Let u be a(-41). Are 1264 and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18*v**4 + 9*v**2 - 21?\nAnswer: 72*v**3 + 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 45 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -121*0.15001\nAnswer: -18.15121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wfyllmdwf. What is prob of sequence fml?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21.5 + 21.6. Let z = -2 - -5. Which is the closest to t? (a) z (b) 1\/2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 6*a + 25. Determine b(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from agyazasgzyzr. Give prob of picking 1 a, 1 y, and 1 z.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x**3 + x**2 - 2*x + 16. Calculate the remainder when 222 is divided by z(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -4*p - 4*q, 4*p + 4 = 3*q + 12 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1309 and 385?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - (0\/4 - 4). Let a(k) = -k**2 + 6*k - 4. Let q be a(5). Differentiate 3*u - 2*u - b*u - q wrt u.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n. Suppose -h - 8 = 3*h. Let l = 0 - h. Let o(w) = 3*w**2 - l*w**2 + 0*w + 0*w. Give o(p(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**32*n**(-3)*n assuming n is positive.\nAnswer: n**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*3*(-1*(0 + sqrt(1573) + sqrt(1573)))**2*-2*-5 + -4)*-1.\nAnswer: -1132556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 19 = -5*n, -144*l - 4*n = -149*l + 7. List the prime factors of 682 - (-5)\/1*l.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b**2 + 5*b - 2. Let r(l) = 3*l**2 - 4*l + 2. Let a(w) = 5*r(w) + 4*z(w). Let j be a(3). List the prime factors of -5 + 1 + (j - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 725.4596 nanograms in micrograms?\nAnswer: 0.7254596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/12)\/((-2)\/(-30)). Suppose a + 1 - k = 0. Let j(q) = q**2 - 4*q + 2. Let v be j(a). Solve -2*n = v*t + 2, 4 = -n + 4*n - 4*t for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16620.9 - 16621. What is the closest to 0 in z, -1.2, 10?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-89)\/(-8) + (-100)\/(-5 + 15).\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -1. Suppose 0 = -g*j - j - 3*y, -10 = -2*j + 3*y. Let p be 0 - 1*4\/(-8). Is j greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 223? (a) 0.1 (b) -7 (c) 1 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -58 + 56. Let c = -2 - -8. Solve w*i + c = 5*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 3. Let u = q + 0. Let x(k) = -k + 42. Let j be x(u). What is the greatest common divisor of j and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 17 - (0 + 2) - 1. Suppose 3*i - 3*q - 19 = -7, x = 4*i - 3*q. Is i less than 6\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*c**3\/4 + 165*c**2\/4 - 193*c\/2 + 42.\nAnswer: -(c - 21)*(c - 2)*(7*c - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 + 57 = 5*j, 2*h + 21 = 5*j for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*-1 - 0) + (-30 - 5373\/(-162)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 106, 218, 326, 430, 530, 626?\n\"Answer: -2*g**2 + 118*g - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5*w + 148. Let u be t(-29). Solve u = 32*k - 29 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52\/832 + 327\/(-624).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - 3 - 4*h - 2*h + 6. Let y be n(-6). Let f(j) = -y*j + 3 + 3 - 1 - 2*j**2 - 1. Determine f(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/7, -1.2, -5, 5, 8, 1.741?\nAnswer: 1.741","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a year?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 320.9094 years to decades.\nAnswer: 32.09094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(18\/3)*(-4)\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - (-152)\/(-8) - (-1 - 4)\/(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -40503? (a) 11.1 (b) -1 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -3.65 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -g**4\/5 + 132*g**3\/5 - 1077*g**2\/5 - 44302*g - 450840 = 0.\nAnswer: -26, -12, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11230 - -3?\nAnswer: -11221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/5 + 46379*f\/5 + 324604\/5.\nAnswer: (f + 7)*(f + 46372)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 190\/35)\/(6\/4).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -200, -406, -612?\n\"Answer: -206*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k = -d + 25, 2535*k - 17 = -d + 2538*k for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-18)\/8)\/(2\/2472). Let o = 11037\/4 + v. Calculate the common denominator of 27\/8 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207 is divided by 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**4 - 2103*w**3 - 38610*w**2 + 179772*w - 188232 = 0. What is w?\nAnswer: -682, -23, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1141890 is divided by 81563?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 26?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*(-3)\/(-12)*2. Is 4 a factor of (-3)\/f - 5\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/3 in 0.2, -3, -2.8, 2, -5, 0.1098?\nAnswer: 0.1098","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/69 and (4\/(-40)*2)\/(3\/(-79))?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/9)\/(-2 - 44\/(-24)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 - 0.2. Let o = -41\/86 - -39\/172. Let g = -15 + 15.7. Which is the nearest to w? (a) -2\/7 (b) o (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 41*b**3 - 34*b**3 + 76*b**3 - 2*b**2 - 3*b - 2*b**4 to the form r*b**3 + h*b + y*b**4 + s*b**2 + w and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*k - 128*k - 379 - 2260 - 931 for k.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/2)\/((-8)\/16). Let v = 971\/8 + -121. What is the nearest to 4 in d, v, -0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 16*n + 2 = -17*n, 10 = 3*g - 5*n for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5*a + 24917 = 3*t, 5*a = 2*t - 49804. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -65 - 70. Let n = s + 259. List the prime factors of n.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**2 + r + 1. Let x(w) = -7*w**2 + 14*w + 2. Give 3*m(p) - x(p).\nAnswer: p**2 - 11*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 plus 85073.484705?\nAnswer: 85072.384705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2301 + 102211212?\nAnswer: 102202311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55 and 1375.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 159 - 161. Let y = 0.6 + -0.1. Which is the closest to -2\/11? (a) w (b) y (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 673.96 micrograms to milligrams.\nAnswer: 0.67396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 272970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -89591\/965 and -93 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 4 (b) 21\/16 (c) 2\/9 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*r**2 + r**3 - 15*r**2 + (-r**2 - 2 + 2)*(-4*r + 5*r + 0*r) - 3 + 2*r**3 + 3 + (-4*r**2 + r**2 + 0*r**2)*(-18 + 18 + 9*r).\nAnswer: -25*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4480?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 7 - (-42 - -45).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37679, -37663, -37647?\nAnswer: -37631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4093312564 to the nearest integer?\nAnswer: 63979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 26c2d73 - -18?\nAnswer: 26c2d8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 0*i + 3*i)*(-3*i + 3*i + i - 2)*(-17 + 0 + 38).\nAnswer: 21*i**2 - 42*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -d4243 (base 14) in base 2?\nAnswer: -1111100101101110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11395 and 16673035?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a gram in micrograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*t + 2. Suppose 0 = t*l - 10 - 0. Solve -34 = 5*m + 3*q, m + 6*q - l*q = -17 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + 27\/(-12) - 1. Let y = -0.18 - 9.82. Let c = y - -15. What is the second biggest value in 3, c, u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6695 divided by -50.\nAnswer: -1339\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 q when two letters picked without replacement from qssgaqasqsgggq?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/10170304 and -67\/3670.\nAnswer: 50851520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 917 - 921 - (0 - 1 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 120401727 divided by 109\nAnswer: 1104603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 2 + 0 - 3 + a**2 in the form p*a**2 + v + h*a and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77468?\nAnswer: 2, 107, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z - 1. Let g be k(-6). Suppose g*c - 20 = 20. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1529, -2683, 14 in ascending order.\nAnswer: -2683, -1529, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1239548, 1239585, 1239662, 1239785, 1239960?\nAnswer: 1240193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -3. Suppose 2*z + 3*b + 0 = 21, g = -4*b - 12. Solve -2*h = 5 - z for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 16599, 33217, 49833, 66447, 83059?\n\"Answer: -m**2 + 16621*m - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(-5)\/((-15)\/6). List the prime factors of (-29 + -1)\/((-3)\/c).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = 21 + 115. Calculate the greatest common factor of x and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*((-6 - -4) + 40). Let j be n\/(-6)*9 - (-2)\/(-2). Calculate the highest common factor of j and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1205 - 31 = 169*n - 178 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7065 - 233215\/33. Let k = 9269\/9 - 1032. Find the common denominator of a and k.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g + 2*g + g)*(3*g**2 - g**2 - g**2) + (-g**3 + 0 + 0)*(9192 - 7316 + 6611) to j*g + s*g**3 + y + z*g**2 and give s.\nAnswer: -8486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 158*v + 790. Determine i(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 + 75. Does 22 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + (sqrt(153) + sqrt(153)*2)*1)\/(sqrt(1089)*1) + (sqrt(153) - -1*sqrt(153)*1)\/(sqrt(441)*2))**2.\nAnswer: 25857\/5929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001909 rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 0 - 359\/2*m**3 + 1\/2*m**4 + 0*m + 179*m**2 = 0.\nAnswer: 0, 1, 358","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -808 - -940. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -935.3 * 41.7.\nAnswer: -39002.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2500975 is divided by 312621.\nAnswer: 7","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 {p: 2, e: 1, n: 1, r: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l - 4. Let m be b(-3). Let k be (1 + m - 3)*-1. Solve -k*d + 10 = u - 0*u, 0 = -4*d - 4*u + 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 326108 a multiple of 363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + 7 + (-12 + 16 - (55 + -11))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40 (base 7) to base 10.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -17*l + 329. Let z be o(19). Let d(p) be the first derivative of -p**3 + 3\/2*p**2 + z*p - 12. Determine n, given that d(n) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -5*j**3 - 615*j**2 - 17995*j + 18615 = 0.\nAnswer: -73, -51, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of 0*p**3 + 1\/2*p**4 - 2*p**2 + 0*p - 3. Find the second derivative of s(r) wrt r.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.08 + 0.92. Let p = a + -0.9. What is the closest to p in 1\/2, 2, -3\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.9? (a) -3 (b) 3 (c) -45\/7 (d) -432\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 409503 - r + 409485 + r - 819013 - 5*r + 3*r.\nAnswer: -2*r - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-4) - 7\/14. Solve -3*n + x = -7*n + p, -2*n - 2*p + 2 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 4*m - 192, 0 = c + 23*m - 27*m - 32. Calculate the highest common divisor of c and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 57 = -13. Suppose -4*z = -u*a, z + 9 = 4*z. Solve a*v = 4*v - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3128 or -3123?\nAnswer: -3123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1180889 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 4 = -t, 9*l + 2*t + 8 = 6*l. Suppose l = z + 102 - 188. Calculate the remainder when z is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/3 - 40\/(-12). Suppose -4 = -4*p + v. Solve 0 = p*d + d + 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24966)\/(-304) + (-2754)\/34?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -92*h**2 + 274*h**2 + 2053 - 93*h**2 - 90*h**2 to u + o*h**2 + l*h and give u.\nAnswer: 2053","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/25 of a meter?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 714, 1431, 2148, 2865, 3582, 4299?\n\"Answer: 717*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*d + 15*d - 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}